%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET978+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n013.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 : Thu May 9 17:40:27 EDT 2024
% Result : Theorem 0.59s 0.77s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 6 unt; 0 def)
% Number of atoms : 51 ( 11 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 56 ( 28 ~; 15 |; 9 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 60 ( 8 sgn 30 !; 16 ?)
% 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))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t131_zfmisc_1) ).
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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_zfmisc_1) ).
fof(c4,plain,
! [A,B] :
( A = B
| disjoint(singleton(A),singleton(B)) ),
inference(fof_nnf,[status(thm)],[t17_zfmisc_1]) ).
fof(c5,plain,
! [X2,X3] :
( X2 = X3
| disjoint(singleton(X2),singleton(X3)) ),
inference(variable_rename,[status(thm)],[c4]) ).
cnf(c6,plain,
( X41 = X40
| disjoint(singleton(X41),singleton(X40)) ),
inference(split_conjunct,[status(thm)],[c5]) ).
cnf(c40,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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t127_zfmisc_1) ).
fof(c14,plain,
! [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,plain,
! [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,plain,
! [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,plain,
( ~ disjoint(X57,X54)
| disjoint(cartesian_product2(X57,X56),cartesian_product2(X54,X55)) ),
inference(split_conjunct,[status(thm)],[c16]) ).
cnf(c57,plain,
disjoint(cartesian_product2(singleton(skolem0001),X100),cartesian_product2(singleton(skolem0002),X99)),
inference(resolution,[status(thm)],[c17,c40]) ).
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,plain,
( ~ disjoint(X60,X59)
| disjoint(cartesian_product2(X61,X60),cartesian_product2(X58,X59)) ),
inference(split_conjunct,[status(thm)],[c16]) ).
cnf(c61,plain,
disjoint(cartesian_product2(X109,singleton(skolem0001)),cartesian_product2(X110,singleton(skolem0002))),
inference(resolution,[status(thm)],[c18,c40]) ).
cnf(c155,plain,
~ disjoint(cartesian_product2(singleton(skolem0001),skolem0003),cartesian_product2(singleton(skolem0002),skolem0004)),
inference(resolution,[status(thm)],[c61,c13]) ).
cnf(c580,plain,
$false,
inference(resolution,[status(thm)],[c155,c57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET978+1 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed May 8 18:13:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.59/0.77 % Version: 1.5
% 0.59/0.77 % SZS status Theorem
% 0.59/0.77 % SZS output start CNFRefutation
% See solution above
% 0.59/0.77
% 0.59/0.77 % Initial clauses : 15
% 0.59/0.77 % Processed clauses : 78
% 0.59/0.77 % Factors computed : 9
% 0.59/0.77 % Resolvents computed: 544
% 0.59/0.77 % Tautologies deleted: 3
% 0.59/0.77 % Forward subsumed : 47
% 0.59/0.77 % Backward subsumed : 1
% 0.59/0.77 % -------- CPU Time ---------
% 0.59/0.77 % User time : 0.394 s
% 0.59/0.77 % System time : 0.014 s
% 0.59/0.77 % Total time : 0.408 s
%------------------------------------------------------------------------------