%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET910+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n016.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 17:40:21 EDT 2024
% Result : Theorem 0.21s 0.57s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 4 unt; 0 def)
% Number of atoms : 22 ( 10 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 8 ~; 3 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 10 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t51_zfmisc_1,conjecture,
! [A,B] :
( set_intersection2(A,singleton(B)) = singleton(B)
=> in(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_zfmisc_1) ).
fof(c7,negated_conjecture,
~ ! [A,B] :
( set_intersection2(A,singleton(B)) = singleton(B)
=> in(B,A) ),
inference(assume_negation,[status(cth)],[t51_zfmisc_1]) ).
fof(c8,negated_conjecture,
? [A,B] :
( set_intersection2(A,singleton(B)) = singleton(B)
& ~ in(B,A) ),
inference(fof_nnf,[status(thm)],[c7]) ).
fof(c9,negated_conjecture,
? [X4,X5] :
( set_intersection2(X4,singleton(X5)) = singleton(X5)
& ~ in(X5,X4) ),
inference(variable_rename,[status(thm)],[c8]) ).
fof(c10,negated_conjecture,
( set_intersection2(skolem0001,singleton(skolem0002)) = singleton(skolem0002)
& ~ in(skolem0002,skolem0001) ),
inference(skolemize,[status(esa)],[c9]) ).
cnf(c12,negated_conjecture,
~ in(skolem0002,skolem0001),
inference(split_conjunct,[status(thm)],[c10]) ).
fof(l30_zfmisc_1,axiom,
! [A,B] :
( set_intersection2(A,singleton(B)) = singleton(B)
=> in(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l30_zfmisc_1) ).
fof(c4,plain,
! [A,B] :
( set_intersection2(A,singleton(B)) != singleton(B)
| in(B,A) ),
inference(fof_nnf,[status(thm)],[l30_zfmisc_1]) ).
fof(c5,plain,
! [X2,X3] :
( set_intersection2(X2,singleton(X3)) != singleton(X3)
| in(X3,X2) ),
inference(variable_rename,[status(thm)],[c4]) ).
cnf(c6,plain,
( set_intersection2(X60,singleton(X61)) != singleton(X61)
| in(X61,X60) ),
inference(split_conjunct,[status(thm)],[c5]) ).
cnf(c11,negated_conjecture,
set_intersection2(skolem0001,singleton(skolem0002)) = singleton(skolem0002),
inference(split_conjunct,[status(thm)],[c10]) ).
cnf(c83,plain,
in(skolem0002,skolem0001),
inference(resolution,[status(thm)],[c11,c6]) ).
cnf(c86,plain,
$false,
inference(resolution,[status(thm)],[c83,c12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET910+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n016.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 : 300
% 0.14/0.35 % DateTime : Wed May 8 19:23:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.57 % Version: 1.5
% 0.21/0.57 % SZS status Theorem
% 0.21/0.57 % SZS output start CNFRefutation
% See solution above
% 0.21/0.57
% 0.21/0.57 % Initial clauses : 15
% 0.21/0.57 % Processed clauses : 28
% 0.21/0.57 % Factors computed : 3
% 0.21/0.57 % Resolvents computed: 57
% 0.21/0.57 % Tautologies deleted: 3
% 0.21/0.57 % Forward subsumed : 12
% 0.21/0.57 % Backward subsumed : 0
% 0.21/0.57 % -------- CPU Time ---------
% 0.21/0.57 % User time : 0.176 s
% 0.21/0.57 % System time : 0.023 s
% 0.21/0.57 % Total time : 0.199 s
%------------------------------------------------------------------------------