## TSTP Solution File: LAT270-2 by Drodi---3.3.3

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : Drodi---3.3.3
% Problem  : LAT270-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat Sep 17 17:56:25 EDT 2022

% Result   : Unsatisfiable 0.12s 0.37s
% Output   : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (  10 unt;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   26 (  14   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-4 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(v_a,v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
c_in(v_b,v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
~ c_lessequals(v_S,v_A,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
! [V_b,V_a,V_S] :
( ~ c_in(V_b,v_A,t_a)
| ~ c_in(V_a,v_A,t_a)
| ~ c_lessequals(V_S,c_Tarski_Ointerval(v_r,V_a,V_b,t_a),tc_set(t_a))
| c_lessequals(V_S,v_A,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,plain,
c_in(v_a,v_A,t_a),
inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f7,plain,
c_in(v_b,v_A,t_a),
inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f8,plain,
c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f9,plain,
~ c_lessequals(v_S,v_A,tc_set(t_a)),
inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f10,plain,
! [V_S] :
( ! [V_b,V_a] :
( ~ c_in(V_b,v_A,t_a)
| ~ c_in(V_a,v_A,t_a)
| ~ c_lessequals(V_S,c_Tarski_Ointerval(v_r,V_a,V_b,t_a),tc_set(t_a)) )
| c_lessequals(V_S,v_A,tc_set(t_a)) ),
inference(miniscoping,[status(esa)],[f5]) ).

fof(f11,plain,
! [X0,X1,X2] :
( ~ c_in(X0,v_A,t_a)
| ~ c_in(X1,v_A,t_a)
| ~ c_lessequals(X2,c_Tarski_Ointerval(v_r,X1,X0,t_a),tc_set(t_a))
| c_lessequals(X2,v_A,tc_set(t_a)) ),
inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f12,plain,
! [X0,X1] :
( ~ c_in(X0,v_A,t_a)
| ~ c_lessequals(X1,c_Tarski_Ointerval(v_r,X0,v_b,t_a),tc_set(t_a))
| c_lessequals(X1,v_A,tc_set(t_a)) ),
inference(resolution,[status(thm)],[f11,f7]) ).

fof(f15,plain,
! [X0] :
( ~ c_lessequals(X0,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a))
| c_lessequals(X0,v_A,tc_set(t_a)) ),
inference(resolution,[status(thm)],[f12,f6]) ).

fof(f16,plain,
c_lessequals(v_S,v_A,tc_set(t_a)),
inference(resolution,[status(thm)],[f15,f8]) ).

fof(f17,plain,
\$false,
inference(forward_subsumption_resolution,[status(thm)],[f16,f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LAT270-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n011.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu Sep  1 12:53:57 EDT 2022
% 0.12/0.34  % CPUTime  :
% 0.12/0.36  % Drodi V3.3.3
% 0.12/0.37  % Refutation found
% 0.12/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.37  % Elapsed time: 0.021865 seconds
% 0.12/0.37  % CPU time: 0.026160 seconds
% 0.12/0.37  % Memory used: 19.092 MB
%------------------------------------------------------------------------------
```