%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET891+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n017.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 17:40:19 EDT 2024
% Result : Theorem 66.51s 66.72s
% Output : Refutation 66.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 16 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 9 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn 12 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t32_zfmisc_1,conjecture,
! [A,B] : union(unordered_pair(singleton(A),singleton(B))) = unordered_pair(A,B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_zfmisc_1) ).
fof(c7,negated_conjecture,
~ ! [A,B] : union(unordered_pair(singleton(A),singleton(B))) = unordered_pair(A,B),
inference(assume_negation,[status(cth)],[t32_zfmisc_1]) ).
fof(c8,negated_conjecture,
? [A,B] : union(unordered_pair(singleton(A),singleton(B))) != unordered_pair(A,B),
inference(fof_nnf,[status(thm)],[c7]) ).
fof(c9,negated_conjecture,
? [X4,X5] : union(unordered_pair(singleton(X4),singleton(X5))) != unordered_pair(X4,X5),
inference(variable_rename,[status(thm)],[c8]) ).
fof(c10,negated_conjecture,
union(unordered_pair(singleton(skolem0001),singleton(skolem0002))) != unordered_pair(skolem0001,skolem0002),
inference(skolemize,[status(esa)],[c9]) ).
cnf(c11,negated_conjecture,
union(unordered_pair(singleton(skolem0001),singleton(skolem0002))) != unordered_pair(skolem0001,skolem0002),
inference(split_conjunct,[status(thm)],[c10]) ).
cnf(symmetry,axiom,
( X22 != X21
| X21 = X22 ),
theory(equality) ).
fof(t41_enumset1,axiom,
! [A,B] : unordered_pair(A,B) = set_union2(singleton(A),singleton(B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_enumset1) ).
fof(c5,plain,
! [X2,X3] : unordered_pair(X2,X3) = set_union2(singleton(X2),singleton(X3)),
inference(variable_rename,[status(thm)],[t41_enumset1]) ).
cnf(c6,plain,
unordered_pair(X70,X71) = set_union2(singleton(X70),singleton(X71)),
inference(split_conjunct,[status(thm)],[c5]) ).
cnf(transitivity,axiom,
( X25 != X24
| X24 != X23
| X25 = X23 ),
theory(equality) ).
fof(l52_zfmisc_1,axiom,
! [A,B] : union(unordered_pair(A,B)) = set_union2(A,B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l52_zfmisc_1) ).
fof(c19,plain,
! [X8,X9] : union(unordered_pair(X8,X9)) = set_union2(X8,X9),
inference(variable_rename,[status(thm)],[l52_zfmisc_1]) ).
cnf(c20,plain,
union(unordered_pair(X83,X82)) = set_union2(X83,X82),
inference(split_conjunct,[status(thm)],[c19]) ).
cnf(c153,plain,
set_union2(X107,X108) = union(unordered_pair(X107,X108)),
inference(resolution,[status(thm)],[c20,symmetry]) ).
cnf(c235,plain,
( X1040 != set_union2(X1041,X1042)
| X1040 = union(unordered_pair(X1041,X1042)) ),
inference(resolution,[status(thm)],[c153,transitivity]) ).
cnf(c12817,plain,
unordered_pair(X3252,X3253) = union(unordered_pair(singleton(X3252),singleton(X3253))),
inference(resolution,[status(thm)],[c235,c6]) ).
cnf(c68738,plain,
union(unordered_pair(singleton(X4178),singleton(X4179))) = unordered_pair(X4178,X4179),
inference(resolution,[status(thm)],[c12817,symmetry]) ).
cnf(c99856,plain,
$false,
inference(resolution,[status(thm)],[c68738,c11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET891+1 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed May 8 19:03:07 EDT 2024
% 0.13/0.35 % CPUTime :
% 66.51/66.72 % Version: 1.5
% 66.51/66.72 % SZS status Theorem
% 66.51/66.72 % SZS output start CNFRefutation
% See solution above
% 66.51/66.72
% 66.51/66.72 % Initial clauses : 18
% 66.51/66.72 % Processed clauses : 1319
% 66.51/66.72 % Factors computed : 3
% 66.51/66.72 % Resolvents computed: 99864
% 66.51/66.72 % Tautologies deleted: 3
% 66.51/66.72 % Forward subsumed : 1885
% 66.51/66.72 % Backward subsumed : 27
% 66.51/66.72 % -------- CPU Time ---------
% 66.51/66.72 % User time : 66.106 s
% 66.51/66.72 % System time : 0.228 s
% 66.51/66.72 % Total time : 66.334 s
%------------------------------------------------------------------------------