%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET940+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n006.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 17:40:24 EDT 2024
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 10 unt; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 8 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l52_zfmisc_1,axiom,
! [A,B] : union(unordered_pair(A,B)) = set_union2(A,B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l52_zfmisc_1) ).
fof(c4,plain,
! [X2,X3] : union(unordered_pair(X2,X3)) = set_union2(X2,X3),
inference(variable_rename,[status(thm)],[l52_zfmisc_1]) ).
cnf(c5,plain,
union(unordered_pair(X60,X61)) = set_union2(X60,X61),
inference(split_conjunct,[status(thm)],[c4]) ).
fof(t93_zfmisc_1,conjecture,
! [A,B] : union(unordered_pair(A,B)) = set_union2(A,B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t93_zfmisc_1) ).
fof(c6,negated_conjecture,
~ ! [A,B] : union(unordered_pair(A,B)) = set_union2(A,B),
inference(assume_negation,[status(cth)],[t93_zfmisc_1]) ).
fof(c7,negated_conjecture,
? [A,B] : union(unordered_pair(A,B)) != set_union2(A,B),
inference(fof_nnf,[status(thm)],[c6]) ).
fof(c8,negated_conjecture,
? [X4,X5] : union(unordered_pair(X4,X5)) != set_union2(X4,X5),
inference(variable_rename,[status(thm)],[c7]) ).
fof(c9,negated_conjecture,
union(unordered_pair(skolem0001,skolem0002)) != set_union2(skolem0001,skolem0002),
inference(skolemize,[status(esa)],[c8]) ).
cnf(c10,negated_conjecture,
union(unordered_pair(skolem0001,skolem0002)) != set_union2(skolem0001,skolem0002),
inference(split_conjunct,[status(thm)],[c9]) ).
cnf(c98,plain,
$false,
inference(resolution,[status(thm)],[c10,c5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET940+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed May 8 19:01:53 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.20/0.53 % Version: 1.5
% 0.20/0.53 % SZS status Theorem
% 0.20/0.53 % SZS output start CNFRefutation
% See solution above
% 0.20/0.53
% 0.20/0.53 % Initial clauses : 16
% 0.20/0.53 % Processed clauses : 22
% 0.20/0.53 % Factors computed : 3
% 0.20/0.53 % Resolvents computed: 59
% 0.20/0.53 % Tautologies deleted: 3
% 0.20/0.53 % Forward subsumed : 11
% 0.20/0.53 % Backward subsumed : 0
% 0.20/0.53 % -------- CPU Time ---------
% 0.20/0.53 % User time : 0.172 s
% 0.20/0.53 % System time : 0.012 s
% 0.20/0.53 % Total time : 0.184 s
%------------------------------------------------------------------------------