## TSTP Solution File: SEU163+1 by PyRes---1.3

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SEU163+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n017.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  : 600s
% DateTime : Tue Jul 19 13:36:05 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)

%------------------------------------------------------------------------------
fof(t92_zfmisc_1,conjecture,
! [A,B] :
( in(A,B)
=> subset(A,union(B)) ),
input ).

fof(c3,negated_conjecture,
~ ! [A,B] :
( in(A,B)
=> subset(A,union(B)) ),
inference(assume_negation,status(cth),[t92_zfmisc_1]) ).

fof(c4,negated_conjecture,
? [A,B] :
( in(A,B)
& ~ subset(A,union(B)) ),
inference(fof_nnf,status(thm),[c3]) ).

fof(c5,negated_conjecture,
? [X4,X5] :
( in(X4,X5)
& ~ subset(X4,union(X5)) ),
inference(variable_rename,status(thm),[c4]) ).

fof(c6,negated_conjecture,
( in(skolem0001,skolem0002)
& ~ subset(skolem0001,union(skolem0002)) ),
inference(skolemize,status(esa),[c5]) ).

cnf(c8,negated_conjecture,
~ subset(skolem0001,union(skolem0002)),
inference(split_conjunct,status(thm),[c6]) ).

cnf(c7,negated_conjecture,
in(skolem0001,skolem0002),
inference(split_conjunct,status(thm),[c6]) ).

fof(l50_zfmisc_1,axiom,
! [A,B] :
( in(A,B)
=> subset(A,union(B)) ),
input ).

fof(c0,axiom,
! [A,B] :
( ~ in(A,B)
| subset(A,union(B)) ),
inference(fof_nnf,status(thm),[l50_zfmisc_1]) ).

fof(c1,axiom,
! [X2,X3] :
( ~ in(X2,X3)
| subset(X2,union(X3)) ),
inference(variable_rename,status(thm),[c0]) ).

cnf(c2,axiom,
( ~ in(X12,X13)
| subset(X12,union(X13)) ),
inference(split_conjunct,status(thm),[c1]) ).

cnf(c18,plain,
subset(skolem0001,union(skolem0002)),
inference(resolution,status(thm),[c2,c7]) ).

cnf(c19,plain,
\$false,
inference(resolution,status(thm),[c18,c8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU163+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jun 19 00:06:13 EDT 2022
% 0.12/0.34  % CPUTime  :
% 0.19/0.52  # Version:  1.3
% 0.19/0.52  # SZS status Theorem
% 0.19/0.52  # SZS output start CNFRefutation
% See solution above
% 0.19/0.52
% 0.19/0.52  # Initial clauses    : 6
% 0.19/0.52  # Processed clauses  : 8
% 0.19/0.52  # Factors computed   : 0
% 0.19/0.52  # Resolvents computed: 3
% 0.19/0.52  # Tautologies deleted: 0
% 0.19/0.52  # Forward subsumed   : 0
% 0.19/0.52  # Backward subsumed  : 0
% 0.19/0.52  # -------- CPU Time ---------
% 0.19/0.52  # User time          : 0.157 s
% 0.19/0.52  # System time        : 0.016 s
% 0.19/0.52  # Total time         : 0.173 s
%------------------------------------------------------------------------------
```