%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET903+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n025.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 17:40:20 EDT 2024
% Result : Theorem 0.71s 0.87s
% Output : Refutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 10 unt; 0 def)
% Number of atoms : 102 ( 101 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 117 ( 41 ~; 42 |; 34 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 2 sgn 18 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t44_zfmisc_1,conjecture,
! [A,B,C] :
~ ( singleton(A) = set_union2(B,C)
& B != C
& B != empty_set
& C != empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_zfmisc_1) ).
fof(c3,negated_conjecture,
~ ! [A,B,C] :
~ ( singleton(A) = set_union2(B,C)
& B != C
& B != empty_set
& C != empty_set ),
inference(assume_negation,[status(cth)],[t44_zfmisc_1]) ).
fof(c4,negated_conjecture,
? [A,B,C] :
( singleton(A) = set_union2(B,C)
& B != C
& B != empty_set
& C != empty_set ),
inference(fof_nnf,[status(thm)],[c3]) ).
fof(c5,negated_conjecture,
? [X2,X3,X4] :
( singleton(X2) = set_union2(X3,X4)
& X3 != X4
& X3 != empty_set
& X4 != empty_set ),
inference(variable_rename,[status(thm)],[c4]) ).
fof(c6,negated_conjecture,
( singleton(skolem0001) = set_union2(skolem0002,skolem0003)
& skolem0002 != skolem0003
& skolem0002 != empty_set
& skolem0003 != empty_set ),
inference(skolemize,[status(esa)],[c5]) ).
cnf(c8,negated_conjecture,
skolem0002 != skolem0003,
inference(split_conjunct,[status(thm)],[c6]) ).
cnf(symmetry,axiom,
( X19 != X18
| X18 = X19 ),
theory(equality) ).
cnf(transitivity,axiom,
( X25 != X24
| X24 != X23
| X25 = X23 ),
theory(equality) ).
cnf(c9,negated_conjecture,
skolem0002 != empty_set,
inference(split_conjunct,[status(thm)],[c6]) ).
cnf(c7,negated_conjecture,
singleton(skolem0001) = set_union2(skolem0002,skolem0003),
inference(split_conjunct,[status(thm)],[c6]) ).
fof(t43_zfmisc_1,axiom,
! [A,B,C] :
~ ( singleton(A) = set_union2(B,C)
& ~ ( B = singleton(A)
& C = singleton(A) )
& ~ ( B = empty_set
& C = singleton(A) )
& ~ ( B = singleton(A)
& C = empty_set ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_zfmisc_1) ).
fof(c11,plain,
! [A,B,C] :
( singleton(A) != set_union2(B,C)
| ( B = singleton(A)
& C = singleton(A) )
| ( B = empty_set
& C = singleton(A) )
| ( B = singleton(A)
& C = empty_set ) ),
inference(fof_nnf,[status(thm)],[t43_zfmisc_1]) ).
fof(c12,plain,
! [X5,X6,X7] :
( singleton(X5) != set_union2(X6,X7)
| ( X6 = singleton(X5)
& X7 = singleton(X5) )
| ( X6 = empty_set
& X7 = singleton(X5) )
| ( X6 = singleton(X5)
& X7 = empty_set ) ),
inference(variable_rename,[status(thm)],[c11]) ).
fof(c13,plain,
! [X5,X6,X7] :
( ( singleton(X5) != set_union2(X6,X7)
| X6 = singleton(X5)
| X6 = empty_set
| X6 = singleton(X5) )
& ( singleton(X5) != set_union2(X6,X7)
| X6 = singleton(X5)
| X6 = empty_set
| X7 = empty_set )
& ( singleton(X5) != set_union2(X6,X7)
| X6 = singleton(X5)
| X7 = singleton(X5)
| X6 = singleton(X5) )
& ( singleton(X5) != set_union2(X6,X7)
| X6 = singleton(X5)
| X7 = singleton(X5)
| X7 = empty_set )
& ( singleton(X5) != set_union2(X6,X7)
| X7 = singleton(X5)
| X6 = empty_set
| X6 = singleton(X5) )
& ( singleton(X5) != set_union2(X6,X7)
| X7 = singleton(X5)
| X6 = empty_set
| X7 = empty_set )
& ( singleton(X5) != set_union2(X6,X7)
| X7 = singleton(X5)
| X7 = singleton(X5)
| X6 = singleton(X5) )
& ( singleton(X5) != set_union2(X6,X7)
| X7 = singleton(X5)
| X7 = singleton(X5)
| X7 = empty_set ) ),
inference(distribute,[status(thm)],[c12]) ).
cnf(c14,plain,
( singleton(X53) != set_union2(X55,X54)
| X55 = singleton(X53)
| X55 = empty_set
| X55 = singleton(X53) ),
inference(split_conjunct,[status(thm)],[c13]) ).
cnf(c87,plain,
( skolem0002 = singleton(skolem0001)
| skolem0002 = empty_set ),
inference(resolution,[status(thm)],[c14,c7]) ).
cnf(c522,plain,
skolem0002 = singleton(skolem0001),
inference(resolution,[status(thm)],[c87,c9]) ).
cnf(c535,plain,
singleton(skolem0001) = skolem0002,
inference(resolution,[status(thm)],[c522,symmetry]) ).
cnf(c546,plain,
( X181 != singleton(skolem0001)
| X181 = skolem0002 ),
inference(resolution,[status(thm)],[c535,transitivity]) ).
cnf(c10,negated_conjecture,
skolem0003 != empty_set,
inference(split_conjunct,[status(thm)],[c6]) ).
cnf(c21,plain,
( singleton(X113) != set_union2(X115,X114)
| X114 = singleton(X113)
| X114 = singleton(X113)
| X114 = empty_set ),
inference(split_conjunct,[status(thm)],[c13]) ).
cnf(c213,plain,
( skolem0003 = singleton(skolem0001)
| skolem0003 = empty_set ),
inference(resolution,[status(thm)],[c21,c7]) ).
cnf(c1155,plain,
skolem0003 = singleton(skolem0001),
inference(resolution,[status(thm)],[c213,c10]) ).
cnf(c1172,plain,
skolem0003 = skolem0002,
inference(resolution,[status(thm)],[c1155,c546]) ).
cnf(c1187,plain,
skolem0002 = skolem0003,
inference(resolution,[status(thm)],[c1172,symmetry]) ).
cnf(c1208,plain,
$false,
inference(resolution,[status(thm)],[c1187,c8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET903+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed May 8 18:15:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.71/0.87 % Version: 1.5
% 0.71/0.87 % SZS status Theorem
% 0.71/0.87 % SZS output start CNFRefutation
% See solution above
% 0.71/0.87
% 0.71/0.87 % Initial clauses : 25
% 0.71/0.87 % Processed clauses : 115
% 0.71/0.87 % Factors computed : 2
% 0.71/0.87 % Resolvents computed: 1167
% 0.71/0.87 % Tautologies deleted: 3
% 0.71/0.87 % Forward subsumed : 137
% 0.71/0.87 % Backward subsumed : 3
% 0.71/0.87 % -------- CPU Time ---------
% 0.71/0.87 % User time : 0.511 s
% 0.71/0.87 % System time : 0.016 s
% 0.71/0.87 % Total time : 0.527 s
%------------------------------------------------------------------------------