%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SEU083+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n011.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 17:40:32 EDT 2024
% Result : Theorem 1.96s 2.13s
% Output : Refutation 1.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 31 ( 12 ~; 7 |; 9 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn 10 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t14_finset_1,conjecture,
! [A,B] :
( ( finite(A)
& finite(B) )
=> finite(set_union2(A,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_finset_1) ).
fof(c23,negated_conjecture,
~ ! [A,B] :
( ( finite(A)
& finite(B) )
=> finite(set_union2(A,B)) ),
inference(assume_negation,[status(cth)],[t14_finset_1]) ).
fof(c24,negated_conjecture,
? [A,B] :
( finite(A)
& finite(B)
& ~ finite(set_union2(A,B)) ),
inference(fof_nnf,[status(thm)],[c23]) ).
fof(c25,negated_conjecture,
? [X4,X5] :
( finite(X4)
& finite(X5)
& ~ finite(set_union2(X4,X5)) ),
inference(variable_rename,[status(thm)],[c24]) ).
fof(c26,negated_conjecture,
( finite(skolem0001)
& finite(skolem0002)
& ~ finite(set_union2(skolem0001,skolem0002)) ),
inference(skolemize,[status(esa)],[c25]) ).
cnf(c29,negated_conjecture,
~ finite(set_union2(skolem0001,skolem0002)),
inference(split_conjunct,[status(thm)],[c26]) ).
cnf(c27,negated_conjecture,
finite(skolem0001),
inference(split_conjunct,[status(thm)],[c26]) ).
cnf(c28,negated_conjecture,
finite(skolem0002),
inference(split_conjunct,[status(thm)],[c26]) ).
fof(l3_finset_1,axiom,
! [A,B] :
( ( finite(A)
& finite(B) )
=> finite(set_union2(A,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_finset_1) ).
fof(c20,plain,
! [A,B] :
( ~ finite(A)
| ~ finite(B)
| finite(set_union2(A,B)) ),
inference(fof_nnf,[status(thm)],[l3_finset_1]) ).
fof(c21,plain,
! [X2,X3] :
( ~ finite(X2)
| ~ finite(X3)
| finite(set_union2(X2,X3)) ),
inference(variable_rename,[status(thm)],[c20]) ).
cnf(c22,plain,
( ~ finite(X156)
| ~ finite(X157)
| finite(set_union2(X156,X157)) ),
inference(split_conjunct,[status(thm)],[c21]) ).
cnf(c354,plain,
( ~ finite(X333)
| finite(set_union2(X333,skolem0002)) ),
inference(resolution,[status(thm)],[c22,c28]) ).
cnf(c2068,plain,
finite(set_union2(skolem0001,skolem0002)),
inference(resolution,[status(thm)],[c354,c27]) ).
cnf(c6355,plain,
$false,
inference(resolution,[status(thm)],[c2068,c29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : SEU083+1 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.35 % Computer : n011.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed May 8 11:14:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 1.96/2.13 % Version: 1.5
% 1.96/2.13 % SZS status Theorem
% 1.96/2.13 % SZS output start CNFRefutation
% See solution above
% 1.96/2.13
% 1.96/2.13 % Initial clauses : 171
% 1.96/2.13 % Processed clauses : 737
% 1.96/2.13 % Factors computed : 7
% 1.96/2.13 % Resolvents computed: 6039
% 1.96/2.13 % Tautologies deleted: 23
% 1.96/2.13 % Forward subsumed : 578
% 1.96/2.13 % Backward subsumed : 20
% 1.96/2.13 % -------- CPU Time ---------
% 1.96/2.13 % User time : 1.752 s
% 1.96/2.13 % System time : 0.023 s
% 1.96/2.13 % Total time : 1.775 s
%------------------------------------------------------------------------------