TSTP Solution File: SET978+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET978+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n015.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 04:41:42 EDT 2022
% Result : Theorem 0.47s 0.64s
% Output : Refutation 0.47s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
fof(t131_zfmisc_1,conjecture,
! [A,B,C,D] :
( A != B
=> ( disjoint(cartesian_product2(singleton(A),C),cartesian_product2(singleton(B),D))
& disjoint(cartesian_product2(C,singleton(A)),cartesian_product2(D,singleton(B))) ) ),
input ).
fof(c7,negated_conjecture,
~ ! [A,B,C,D] :
( A != B
=> ( disjoint(cartesian_product2(singleton(A),C),cartesian_product2(singleton(B),D))
& disjoint(cartesian_product2(C,singleton(A)),cartesian_product2(D,singleton(B))) ) ),
inference(assume_negation,status(cth),[t131_zfmisc_1]) ).
fof(c8,negated_conjecture,
? [A,B,C,D] :
( A != B
& ( ~ disjoint(cartesian_product2(singleton(A),C),cartesian_product2(singleton(B),D))
| ~ disjoint(cartesian_product2(C,singleton(A)),cartesian_product2(D,singleton(B))) ) ),
inference(fof_nnf,status(thm),[c7]) ).
fof(c9,negated_conjecture,
? [A,B] :
( A != B
& ( ? [C,D] : ~ disjoint(cartesian_product2(singleton(A),C),cartesian_product2(singleton(B),D))
| ? [C,D] : ~ disjoint(cartesian_product2(C,singleton(A)),cartesian_product2(D,singleton(B))) ) ),
inference(shift_quantors,status(thm),[c8]) ).
fof(c10,negated_conjecture,
? [X4,X5] :
( X4 != X5
& ( ? [X6,X7] : ~ disjoint(cartesian_product2(singleton(X4),X6),cartesian_product2(singleton(X5),X7))
| ? [X8,X9] : ~ disjoint(cartesian_product2(X8,singleton(X4)),cartesian_product2(X9,singleton(X5))) ) ),
inference(variable_rename,status(thm),[c9]) ).
fof(c11,negated_conjecture,
( skolem0001 != skolem0002
& ( ~ disjoint(cartesian_product2(singleton(skolem0001),skolem0003),cartesian_product2(singleton(skolem0002),skolem0004))
| ~ disjoint(cartesian_product2(skolem0005,singleton(skolem0001)),cartesian_product2(skolem0006,singleton(skolem0002))) ) ),
inference(skolemize,status(esa),[c10]) ).
cnf(c12,negated_conjecture,
skolem0001 != skolem0002,
inference(split_conjunct,status(thm),[c11]) ).
fof(t17_zfmisc_1,axiom,
! [A,B] :
( A != B
=> disjoint(singleton(A),singleton(B)) ),
input ).
fof(c4,axiom,
! [A,B] :
( A = B
| disjoint(singleton(A),singleton(B)) ),
inference(fof_nnf,status(thm),[t17_zfmisc_1]) ).
fof(c5,axiom,
! [X2,X3] :
( X2 = X3
| disjoint(singleton(X2),singleton(X3)) ),
inference(variable_rename,status(thm),[c4]) ).
cnf(c6,axiom,
( X39 = X40
| disjoint(singleton(X39),singleton(X40)) ),
inference(split_conjunct,status(thm),[c5]) ).
cnf(c36,plain,
disjoint(singleton(skolem0001),singleton(skolem0002)),
inference(resolution,status(thm),[c6,c12]) ).
fof(t127_zfmisc_1,axiom,
! [A,B,C,D] :
( ( disjoint(A,B)
| disjoint(C,D) )
=> disjoint(cartesian_product2(A,C),cartesian_product2(B,D)) ),
input ).
fof(c14,axiom,
! [A,B,C,D] :
( ( ~ disjoint(A,B)
& ~ disjoint(C,D) )
| disjoint(cartesian_product2(A,C),cartesian_product2(B,D)) ),
inference(fof_nnf,status(thm),[t127_zfmisc_1]) ).
fof(c15,axiom,
! [X10,X11,X12,X13] :
( ( ~ disjoint(X10,X11)
& ~ disjoint(X12,X13) )
| disjoint(cartesian_product2(X10,X12),cartesian_product2(X11,X13)) ),
inference(variable_rename,status(thm),[c14]) ).
fof(c16,axiom,
! [X10,X11,X12,X13] :
( ( ~ disjoint(X10,X11)
| disjoint(cartesian_product2(X10,X12),cartesian_product2(X11,X13)) )
& ( ~ disjoint(X12,X13)
| disjoint(cartesian_product2(X10,X12),cartesian_product2(X11,X13)) ) ),
inference(distribute,status(thm),[c15]) ).
cnf(c17,axiom,
( ~ disjoint(X54,X56)
| disjoint(cartesian_product2(X54,X55),cartesian_product2(X56,X53)) ),
inference(split_conjunct,status(thm),[c16]) ).
cnf(c55,plain,
disjoint(cartesian_product2(singleton(skolem0001),X90),cartesian_product2(singleton(skolem0002),X91)),
inference(resolution,status(thm),[c17,c36]) ).
cnf(c13,negated_conjecture,
( ~ disjoint(cartesian_product2(singleton(skolem0001),skolem0003),cartesian_product2(singleton(skolem0002),skolem0004))
| ~ disjoint(cartesian_product2(skolem0005,singleton(skolem0001)),cartesian_product2(skolem0006,singleton(skolem0002))) ),
inference(split_conjunct,status(thm),[c11]) ).
cnf(c18,axiom,
( ~ disjoint(X59,X57)
| disjoint(cartesian_product2(X58,X59),cartesian_product2(X60,X57)) ),
inference(split_conjunct,status(thm),[c16]) ).
cnf(c59,plain,
disjoint(cartesian_product2(X99,singleton(skolem0001)),cartesian_product2(X98,singleton(skolem0002))),
inference(resolution,status(thm),[c18,c36]) ).
cnf(c137,plain,
~ disjoint(cartesian_product2(singleton(skolem0001),skolem0003),cartesian_product2(singleton(skolem0002),skolem0004)),
inference(resolution,status(thm),[c59,c13]) ).
cnf(c479,plain,
$false,
inference(resolution,status(thm),[c137,c55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET978+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jul 9 16:11:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.47/0.64 # Version: 1.3
% 0.47/0.64 # SZS status Theorem
% 0.47/0.64 # SZS output start CNFRefutation
% See solution above
% 0.47/0.64
% 0.47/0.64 # Initial clauses : 15
% 0.47/0.64 # Processed clauses : 71
% 0.47/0.64 # Factors computed : 2
% 0.47/0.64 # Resolvents computed: 450
% 0.47/0.64 # Tautologies deleted: 2
% 0.47/0.64 # Forward subsumed : 44
% 0.47/0.64 # Backward subsumed : 1
% 0.47/0.64 # -------- CPU Time ---------
% 0.47/0.64 # User time : 0.281 s
% 0.47/0.64 # System time : 0.018 s
% 0.47/0.64 # Total time : 0.299 s
%------------------------------------------------------------------------------