%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SEU161+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n029.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 17:40:43 EDT 2024
% Result : Theorem 0.37s 0.55s
% Output : Refutation 0.37s
% 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 ( 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(t46_zfmisc_1,conjecture,
! [A,B] :
( in(A,B)
=> set_union2(singleton(A),B) = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_zfmisc_1) ).
fof(c6,negated_conjecture,
~ ! [A,B] :
( in(A,B)
=> set_union2(singleton(A),B) = B ),
inference(assume_negation,[status(cth)],[t46_zfmisc_1]) ).
fof(c7,negated_conjecture,
? [A,B] :
( in(A,B)
& set_union2(singleton(A),B) != B ),
inference(fof_nnf,[status(thm)],[c6]) ).
fof(c8,negated_conjecture,
? [X4,X5] :
( in(X4,X5)
& set_union2(singleton(X4),X5) != X5 ),
inference(variable_rename,[status(thm)],[c7]) ).
fof(c9,negated_conjecture,
( in(skolem0001,skolem0002)
& set_union2(singleton(skolem0001),skolem0002) != skolem0002 ),
inference(skolemize,[status(esa)],[c8]) ).
cnf(c11,negated_conjecture,
set_union2(singleton(skolem0001),skolem0002) != skolem0002,
inference(split_conjunct,[status(thm)],[c9]) ).
cnf(c10,negated_conjecture,
in(skolem0001,skolem0002),
inference(split_conjunct,[status(thm)],[c9]) ).
fof(l23_zfmisc_1,axiom,
! [A,B] :
( in(A,B)
=> set_union2(singleton(A),B) = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l23_zfmisc_1) ).
fof(c3,plain,
! [A,B] :
( ~ in(A,B)
| set_union2(singleton(A),B) = B ),
inference(fof_nnf,[status(thm)],[l23_zfmisc_1]) ).
fof(c4,plain,
! [X2,X3] :
( ~ in(X2,X3)
| set_union2(singleton(X2),X3) = X3 ),
inference(variable_rename,[status(thm)],[c3]) ).
cnf(c5,plain,
( ~ in(X55,X56)
| set_union2(singleton(X55),X56) = X56 ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c62,plain,
set_union2(singleton(skolem0001),skolem0002) = skolem0002,
inference(resolution,[status(thm)],[c5,c10]) ).
cnf(c65,plain,
$false,
inference(resolution,[status(thm)],[c62,c11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SEU161+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n029.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 11:21:23 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.37/0.55 % Version: 1.5
% 0.37/0.55 % SZS status Theorem
% 0.37/0.55 % SZS output start CNFRefutation
% See solution above
% 0.37/0.55
% 0.37/0.55 % Initial clauses : 14
% 0.37/0.55 % Processed clauses : 22
% 0.37/0.55 % Factors computed : 3
% 0.37/0.55 % Resolvents computed: 47
% 0.37/0.55 % Tautologies deleted: 2
% 0.37/0.55 % Forward subsumed : 12
% 0.37/0.55 % Backward subsumed : 0
% 0.37/0.55 % -------- CPU Time ---------
% 0.37/0.55 % User time : 0.167 s
% 0.37/0.55 % System time : 0.018 s
% 0.37/0.55 % Total time : 0.185 s
%------------------------------------------------------------------------------