TSTP Solution File: SWC026+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SWC026+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n021.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 21:47:28 EDT 2022
% Result : Theorem 70.80s 71.08s
% Output : Refutation 70.80s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(transitivity,axiom,
( X255 != X253
| X253 != X254
| X255 = X254 ),
eq_axiom ).
cnf(symmetry,axiom,
( X252 != X251
| X251 = X252 ),
eq_axiom ).
fof(co1,conjecture,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( V != X
| U != W
| ( nil != X
& nil = W )
| ( nil != W
& nil = X )
| ( ( nil != V
| nil = U )
& ( nil != U
| nil = V ) ) ) ) ) ) ),
input ).
fof(c23,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( V != X
| U != W
| ( nil != X
& nil = W )
| ( nil != W
& nil = X )
| ( ( nil != V
| nil = U )
& ( nil != U
| nil = V ) ) ) ) ) ) ),
inference(assume_negation,status(cth),[co1]) ).
fof(c24,negated_conjecture,
? [U] :
( ssList(U)
& ? [V] :
( ssList(V)
& ? [W] :
( ssList(W)
& ? [X] :
( ssList(X)
& V = X
& U = W
& ( nil = X
| nil != W )
& ( nil = W
| nil != X )
& ( ( nil = V
& nil != U )
| ( nil = U
& nil != V ) ) ) ) ) ),
inference(fof_nnf,status(thm),[c23]) ).
fof(c25,negated_conjecture,
? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& X3 = X5
& X2 = X4
& ( nil = X5
| nil != X4 )
& ( nil = X4
| nil != X5 )
& ( ( nil = X3
& nil != X2 )
| ( nil = X2
& nil != X3 ) ) ) ) ) ),
inference(variable_rename,status(thm),[c24]) ).
fof(c26,negated_conjecture,
( ssList(skolem0001)
& ssList(skolem0002)
& ssList(skolem0003)
& ssList(skolem0004)
& skolem0002 = skolem0004
& skolem0001 = skolem0003
& ( nil = skolem0004
| nil != skolem0003 )
& ( nil = skolem0003
| nil != skolem0004 )
& ( ( nil = skolem0002
& nil != skolem0001 )
| ( nil = skolem0001
& nil != skolem0002 ) ) ),
inference(skolemize,status(esa),[c25]) ).
fof(c27,negated_conjecture,
( ssList(skolem0001)
& ssList(skolem0002)
& ssList(skolem0003)
& ssList(skolem0004)
& skolem0002 = skolem0004
& skolem0001 = skolem0003
& ( nil = skolem0004
| nil != skolem0003 )
& ( nil = skolem0003
| nil != skolem0004 )
& ( nil = skolem0002
| nil = skolem0001 )
& ( nil = skolem0002
| nil != skolem0002 )
& ( nil != skolem0001
| nil = skolem0001 )
& ( nil != skolem0001
| nil != skolem0002 ) ),
inference(distribute,status(thm),[c26]) ).
cnf(c33,negated_conjecture,
skolem0001 = skolem0003,
inference(split_conjunct,status(thm),[c27]) ).
cnf(c516,plain,
skolem0003 = skolem0001,
inference(resolution,status(thm),[c33,symmetry]) ).
cnf(c527,plain,
( X359 != skolem0003
| X359 = skolem0001 ),
inference(resolution,status(thm),[c516,transitivity]) ).
cnf(c35,negated_conjecture,
( nil = skolem0003
| nil != skolem0004 ),
inference(split_conjunct,status(thm),[c27]) ).
cnf(c36,negated_conjecture,
( nil = skolem0002
| nil = skolem0001 ),
inference(split_conjunct,status(thm),[c27]) ).
cnf(c32,negated_conjecture,
skolem0002 = skolem0004,
inference(split_conjunct,status(thm),[c27]) ).
cnf(c514,plain,
( X356 != skolem0002
| X356 = skolem0004 ),
inference(resolution,status(thm),[c32,transitivity]) ).
cnf(c701,plain,
( nil = skolem0004
| nil = skolem0001 ),
inference(resolution,status(thm),[c514,c36]) ).
cnf(c19399,plain,
( nil = skolem0001
| nil = skolem0003 ),
inference(resolution,status(thm),[c701,c35]) ).
cnf(c83056,plain,
nil = skolem0001,
inference(resolution,status(thm),[c19399,c527]) ).
cnf(c39,negated_conjecture,
( nil != skolem0001
| nil != skolem0002 ),
inference(split_conjunct,status(thm),[c27]) ).
cnf(c513,plain,
skolem0004 = skolem0002,
inference(resolution,status(thm),[c32,symmetry]) ).
cnf(c523,plain,
( X358 != skolem0004
| X358 = skolem0002 ),
inference(resolution,status(thm),[c513,transitivity]) ).
cnf(c34,negated_conjecture,
( nil = skolem0004
| nil != skolem0003 ),
inference(split_conjunct,status(thm),[c27]) ).
cnf(c517,plain,
( X357 != skolem0001
| X357 = skolem0003 ),
inference(resolution,status(thm),[c33,transitivity]) ).
cnf(c82881,plain,
nil = skolem0003,
inference(resolution,status(thm),[c19399,c517]) ).
cnf(c83187,plain,
nil = skolem0004,
inference(resolution,status(thm),[c82881,c34]) ).
cnf(c83536,plain,
nil = skolem0002,
inference(resolution,status(thm),[c83187,c523]) ).
cnf(c83949,plain,
nil != skolem0001,
inference(resolution,status(thm),[c83536,c39]) ).
cnf(c84196,plain,
$false,
inference(resolution,status(thm),[c83949,c83056]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC026+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jun 11 23:36:40 EDT 2022
% 0.14/0.35 % CPUTime :
% 70.80/71.08 # Version: 1.3
% 70.80/71.08 # SZS status Theorem
% 70.80/71.08 # SZS output start CNFRefutation
% See solution above
% 70.80/71.08
% 70.80/71.08 # Initial clauses : 228
% 70.80/71.08 # Processed clauses : 2371
% 70.80/71.08 # Factors computed : 1
% 70.80/71.08 # Resolvents computed: 83687
% 70.80/71.08 # Tautologies deleted: 18
% 70.80/71.08 # Forward subsumed : 2550
% 70.80/71.08 # Backward subsumed : 906
% 70.80/71.08 # -------- CPU Time ---------
% 70.80/71.08 # User time : 70.468 s
% 70.80/71.08 # System time : 0.210 s
% 70.80/71.08 # Total time : 70.678 s
%------------------------------------------------------------------------------