%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET911+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n005.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 0.48s 0.67s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 4 unt; 0 def)
% Number of atoms : 22 ( 11 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 ( 2 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(t52_zfmisc_1,conjecture,
! [A,B] :
( in(A,B)
=> set_intersection2(B,singleton(A)) = singleton(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_zfmisc_1) ).
fof(c7,negated_conjecture,
~ ! [A,B] :
( in(A,B)
=> set_intersection2(B,singleton(A)) = singleton(A) ),
inference(assume_negation,[status(cth)],[t52_zfmisc_1]) ).
fof(c8,negated_conjecture,
? [A,B] :
( in(A,B)
& set_intersection2(B,singleton(A)) != singleton(A) ),
inference(fof_nnf,[status(thm)],[c7]) ).
fof(c9,negated_conjecture,
? [X4,X5] :
( in(X4,X5)
& set_intersection2(X5,singleton(X4)) != singleton(X4) ),
inference(variable_rename,[status(thm)],[c8]) ).
fof(c10,negated_conjecture,
( in(skolem0001,skolem0002)
& set_intersection2(skolem0002,singleton(skolem0001)) != singleton(skolem0001) ),
inference(skolemize,[status(esa)],[c9]) ).
cnf(c12,negated_conjecture,
set_intersection2(skolem0002,singleton(skolem0001)) != singleton(skolem0001),
inference(split_conjunct,[status(thm)],[c10]) ).
cnf(c11,negated_conjecture,
in(skolem0001,skolem0002),
inference(split_conjunct,[status(thm)],[c10]) ).
fof(l32_zfmisc_1,axiom,
! [A,B] :
( in(A,B)
=> set_intersection2(B,singleton(A)) = singleton(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l32_zfmisc_1) ).
fof(c4,plain,
! [A,B] :
( ~ in(A,B)
| set_intersection2(B,singleton(A)) = singleton(A) ),
inference(fof_nnf,[status(thm)],[l32_zfmisc_1]) ).
fof(c5,plain,
! [X2,X3] :
( ~ in(X2,X3)
| set_intersection2(X3,singleton(X2)) = singleton(X2) ),
inference(variable_rename,[status(thm)],[c4]) ).
cnf(c6,plain,
( ~ in(X60,X59)
| set_intersection2(X59,singleton(X60)) = singleton(X60) ),
inference(split_conjunct,[status(thm)],[c5]) ).
cnf(c71,plain,
set_intersection2(skolem0002,singleton(skolem0001)) = singleton(skolem0001),
inference(resolution,[status(thm)],[c6,c11]) ).
cnf(c412,plain,
$false,
inference(resolution,[status(thm)],[c71,c12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET911+1 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 19:21:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.48/0.67 % Version: 1.5
% 0.48/0.67 % SZS status Theorem
% 0.48/0.67 % SZS output start CNFRefutation
% See solution above
% 0.48/0.67
% 0.48/0.67 % Initial clauses : 15
% 0.48/0.67 % Processed clauses : 66
% 0.48/0.67 % Factors computed : 3
% 0.48/0.67 % Resolvents computed: 388
% 0.48/0.67 % Tautologies deleted: 3
% 0.48/0.67 % Forward subsumed : 55
% 0.48/0.67 % Backward subsumed : 0
% 0.48/0.67 % -------- CPU Time ---------
% 0.48/0.67 % User time : 0.295 s
% 0.48/0.67 % System time : 0.014 s
% 0.48/0.67 % Total time : 0.309 s
%------------------------------------------------------------------------------