TSTP Solution File: SWC328+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SWC328+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n010.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 21:49:00 EDT 2022
% Result : Theorem 4.85s 5.03s
% Output : Refutation 4.85s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)
% Comments :
%------------------------------------------------------------------------------
cnf(symmetry,axiom,
( X251 != X252
| X252 = X251 ),
eq_axiom ).
fof(co1,conjecture,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( nil != W
| V != X
| U != W
| ( segmentP(V,U)
& equalelemsP(U) ) ) ) ) ) ),
input ).
fof(c23,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( nil != W
| V != X
| U != W
| ( segmentP(V,U)
& equalelemsP(U) ) ) ) ) ) ),
inference(assume_negation,status(cth),[co1]) ).
fof(c24,negated_conjecture,
? [U] :
( ssList(U)
& ? [V] :
( ssList(V)
& ? [W] :
( ssList(W)
& ? [X] :
( ssList(X)
& nil = W
& V = X
& U = W
& ( ~ segmentP(V,U)
| ~ equalelemsP(U) ) ) ) ) ),
inference(fof_nnf,status(thm),[c23]) ).
fof(c25,negated_conjecture,
? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& nil = X4
& X3 = X5
& X2 = X4
& ( ~ segmentP(X3,X2)
| ~ equalelemsP(X2) ) ) ) ) ),
inference(variable_rename,status(thm),[c24]) ).
fof(c26,negated_conjecture,
( ssList(skolem0001)
& ssList(skolem0002)
& ssList(skolem0003)
& ssList(skolem0004)
& nil = skolem0003
& skolem0002 = skolem0004
& skolem0001 = skolem0003
& ( ~ segmentP(skolem0002,skolem0001)
| ~ equalelemsP(skolem0001) ) ),
inference(skolemize,status(esa),[c25]) ).
cnf(c33,negated_conjecture,
skolem0001 = skolem0003,
inference(split_conjunct,status(thm),[c26]) ).
cnf(c513,plain,
skolem0003 = skolem0001,
inference(resolution,status(thm),[c33,symmetry]) ).
cnf(c20,plain,
( X339 != X338
| ~ equalelemsP(X339)
| equalelemsP(X338) ),
eq_axiom ).
cnf(c678,plain,
( ~ equalelemsP(skolem0003)
| equalelemsP(skolem0001) ),
inference(resolution,status(thm),[c20,c513]) ).
fof(ax74,axiom,
equalelemsP(nil),
input ).
cnf(c127,axiom,
equalelemsP(nil),
inference(split_conjunct,status(thm),[ax74]) ).
cnf(c31,negated_conjecture,
nil = skolem0003,
inference(split_conjunct,status(thm),[c26]) ).
cnf(c681,plain,
( ~ equalelemsP(nil)
| equalelemsP(skolem0003) ),
inference(resolution,status(thm),[c20,c31]) ).
cnf(c702,plain,
equalelemsP(skolem0003),
inference(resolution,status(thm),[c681,c127]) ).
cnf(c703,plain,
equalelemsP(skolem0001),
inference(resolution,status(thm),[c702,c678]) ).
cnf(c34,negated_conjecture,
( ~ segmentP(skolem0002,skolem0001)
| ~ equalelemsP(skolem0001) ),
inference(split_conjunct,status(thm),[c26]) ).
cnf(c32,negated_conjecture,
skolem0002 = skolem0004,
inference(split_conjunct,status(thm),[c26]) ).
cnf(c510,plain,
skolem0004 = skolem0002,
inference(resolution,status(thm),[c32,symmetry]) ).
cnf(transitivity,axiom,
( X254 != X255
| X255 != X253
| X254 = X253 ),
eq_axiom ).
cnf(c507,plain,
skolem0003 = nil,
inference(resolution,status(thm),[c31,symmetry]) ).
cnf(c522,plain,
( X385 != skolem0003
| X385 = nil ),
inference(resolution,status(thm),[c507,transitivity]) ).
cnf(c738,plain,
skolem0001 = nil,
inference(resolution,status(thm),[c522,c33]) ).
cnf(c755,plain,
nil = skolem0001,
inference(resolution,status(thm),[c738,symmetry]) ).
cnf(c30,negated_conjecture,
ssList(skolem0004),
inference(split_conjunct,status(thm),[c26]) ).
fof(ax57,axiom,
! [U] :
( ssList(U)
=> segmentP(U,nil) ),
input ).
fof(c178,axiom,
! [U] :
( ~ ssList(U)
| segmentP(U,nil) ),
inference(fof_nnf,status(thm),[ax57]) ).
fof(c179,axiom,
! [X62] :
( ~ ssList(X62)
| segmentP(X62,nil) ),
inference(variable_rename,status(thm),[c178]) ).
cnf(c180,axiom,
( ~ ssList(X289)
| segmentP(X289,nil) ),
inference(split_conjunct,status(thm),[c179]) ).
cnf(c581,plain,
segmentP(skolem0004,nil),
inference(resolution,status(thm),[c180,c30]) ).
cnf(c11,plain,
( X306 != X304
| X305 != X303
| ~ segmentP(X306,X305)
| segmentP(X304,X303) ),
eq_axiom ).
cnf(c619,plain,
( skolem0004 != X786
| nil != X787
| segmentP(X786,X787) ),
inference(resolution,status(thm),[c11,c581]) ).
cnf(c14354,plain,
( skolem0004 != X851
| segmentP(X851,skolem0001) ),
inference(resolution,status(thm),[c619,c755]) ).
cnf(c15407,plain,
segmentP(skolem0002,skolem0001),
inference(resolution,status(thm),[c14354,c510]) ).
cnf(c15412,plain,
~ equalelemsP(skolem0001),
inference(resolution,status(thm),[c15407,c34]) ).
cnf(c15420,plain,
$false,
inference(resolution,status(thm),[c15412,c703]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWC328+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n010.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 12 09:26:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.85/5.03 # Version: 1.3
% 4.85/5.03 # SZS status Theorem
% 4.85/5.03 # SZS output start CNFRefutation
% See solution above
% 4.85/5.03
% 4.85/5.03 # Initial clauses : 224
% 4.85/5.03 # Processed clauses : 953
% 4.85/5.03 # Factors computed : 0
% 4.85/5.03 # Resolvents computed: 15037
% 4.85/5.03 # Tautologies deleted: 15
% 4.85/5.03 # Forward subsumed : 472
% 4.85/5.03 # Backward subsumed : 28
% 4.85/5.03 # -------- CPU Time ---------
% 4.85/5.03 # User time : 4.639 s
% 4.85/5.03 # System time : 0.057 s
% 4.85/5.03 # Total time : 4.696 s
%------------------------------------------------------------------------------