TSTP Solution File: SYN551+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN551+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 : 600s
% DateTime : Thu Jul 21 12:01:38 EDT 2022
% Result : Theorem 0.85s 1.07s
% Output : Refutation 0.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 8
% Syntax : Number of clauses : 75 ( 7 unt; 62 nHn; 35 RR)
% Number of literals : 240 ( 239 equ; 40 neg)
% Maximal clause size : 6 ( 3 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; 0-1 aty)
% Number of variables : 78 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
( 'SKOLEMAAAV1'(X) != f(g('SKOLEMAAAV1'(X)))
| X != 'SKOLEMAAAV1'(X)
| 'SKOLEMAAAV2'(Y) != g(f('SKOLEMAAAV2'(Y)))
| Y != 'SKOLEMAAAV2'(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_cute_thing) ).
cnf(2,negated_conjecture,
( 'SKOLEMAAAV1'(X) != f(g('SKOLEMAAAV1'(X)))
| X != 'SKOLEMAAAV1'(X)
| 'SKOLEMAAAV2'(Y) = g(f('SKOLEMAAAV2'(Y)))
| Y = 'SKOLEMAAAV2'(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_cute_thing) ).
cnf(3,negated_conjecture,
( 'SKOLEMAAAV1'(X) = f(g('SKOLEMAAAV1'(X)))
| X = 'SKOLEMAAAV1'(X)
| 'SKOLEMAAAV2'(Y) != g(f('SKOLEMAAAV2'(Y)))
| Y != 'SKOLEMAAAV2'(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_cute_thing) ).
cnf(4,negated_conjecture,
( 'SKOLEMAAAV1'(X) = f(g('SKOLEMAAAV1'(X)))
| X = 'SKOLEMAAAV1'(X)
| 'SKOLEMAAAV2'(Y) = g(f('SKOLEMAAAV2'(Y)))
| Y = 'SKOLEMAAAV2'(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_cute_thing) ).
cnf(5,negated_conjecture,
( X != f(g(X))
| 'SKOLEMAAAV3' = X
| Y != g(f(Y))
| 'SKOLEMAAAV4' = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_cute_thing) ).
cnf(6,negated_conjecture,
( X != f(g(X))
| 'SKOLEMAAAV3' = X
| Y = g(f(Y))
| 'SKOLEMAAAV4' != Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_cute_thing) ).
cnf(7,negated_conjecture,
( X = f(g(X))
| 'SKOLEMAAAV3' != X
| Y != g(f(Y))
| 'SKOLEMAAAV4' = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_cute_thing) ).
cnf(8,negated_conjecture,
( X = f(g(X))
| 'SKOLEMAAAV3' != X
| Y = g(f(Y))
| 'SKOLEMAAAV4' != Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_cute_thing) ).
cnf(9,plain,
( 'SKOLEMAAAV3' = f(g('SKOLEMAAAV3'))
| 'SKOLEMAAAV4' = g(f('SKOLEMAAAV4')) ),
inference('HYPERRESOLVE',[status(thm)],[8,theory(equality),theory(equality)]) ).
cnf(10,plain,
( X = 'SKOLEMAAAV1'(X)
| 'SKOLEMAAAV2'(Y) = g(f('SKOLEMAAAV2'(Y)))
| Y = 'SKOLEMAAAV2'(Y)
| 'SKOLEMAAAV3' = 'SKOLEMAAAV1'(X)
| 'SKOLEMAAAV4' = g(f('SKOLEMAAAV4')) ),
inference('HYPERRESOLVE',[status(thm)],[6,4,theory(equality)]) ).
cnf(11,plain,
( 'SKOLEMAAAV1'(X) = f(g('SKOLEMAAAV1'(X)))
| X = 'SKOLEMAAAV1'(X)
| Y = 'SKOLEMAAAV2'(Y)
| 'SKOLEMAAAV3' = f(g('SKOLEMAAAV3'))
| 'SKOLEMAAAV4' = 'SKOLEMAAAV2'(Y) ),
inference('HYPERRESOLVE',[status(thm)],[7,4,theory(equality)]) ).
cnf(13,plain,
( X = 'SKOLEMAAAV1'(X)
| 'SKOLEMAAAV2'(Y) = g(f('SKOLEMAAAV2'(Y)))
| Y = 'SKOLEMAAAV2'(Y)
| 'SKOLEMAAAV3' = 'SKOLEMAAAV1'(X)
| Z != g(f(Z))
| 'SKOLEMAAAV4' = Z ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5,4,theory(equality)]),theory(equality)]) ).
cnf(27,plain,
( 'SKOLEMAAAV3' = 'SKOLEMAAAV1'('SKOLEMAAAV3')
| 'SKOLEMAAAV2'(X) = g(f('SKOLEMAAAV2'(X)))
| X = 'SKOLEMAAAV2'(X)
| 'SKOLEMAAAV4' = g(f('SKOLEMAAAV4')) ),
inference('FACTOR',[status(thm)],[10]) ).
cnf(36,plain,
( 'SKOLEMAAAV3' = 'SKOLEMAAAV1'('SKOLEMAAAV3')
| X = 'SKOLEMAAAV2'(X)
| 'SKOLEMAAAV4' = g(f('SKOLEMAAAV4'))
| 'SKOLEMAAAV3' = f('SKOLEMAAAV2'(X))
| Y = g(f(Y))
| 'SKOLEMAAAV4' != Y ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[6,27,theory(equality)]),theory(equality)]) ).
cnf(38,plain,
( 'SKOLEMAAAV1'(X) = f(g('SKOLEMAAAV1'(X)))
| X = 'SKOLEMAAAV1'(X)
| 'SKOLEMAAAV4' = 'SKOLEMAAAV2'('SKOLEMAAAV4')
| 'SKOLEMAAAV3' = f(g('SKOLEMAAAV3')) ),
inference('FACTOR',[status(thm)],[11]) ).
cnf(54,plain,
( 'SKOLEMAAAV3' = f(g('SKOLEMAAAV3'))
| 'SKOLEMAAAV1'(X) = f(g('SKOLEMAAAV1'(X)))
| X = 'SKOLEMAAAV1'(X)
| 'SKOLEMAAAV4' != g(f('SKOLEMAAAV4')) ),
inference('CONDENSE',[status(thm)],[inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3,38,theory(equality)]),theory(equality)])]) ).
cnf(55,plain,
( 'SKOLEMAAAV3' = f(g('SKOLEMAAAV3'))
| 'SKOLEMAAAV1'(X) = f(g('SKOLEMAAAV1'(X)))
| X = 'SKOLEMAAAV1'(X) ),
inference('HYPERRESOLVE',[status(thm)],[54,9]) ).
cnf(60,plain,
( 'SKOLEMAAAV3' = f(g('SKOLEMAAAV3'))
| X = 'SKOLEMAAAV1'(X)
| Y = f(g(Y))
| 'SKOLEMAAAV3' != Y
| 'SKOLEMAAAV4' = g('SKOLEMAAAV1'(X)) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,55,theory(equality)]),theory(equality)]) ).
cnf(83,plain,
( 'SKOLEMAAAV3' = f(g('SKOLEMAAAV3'))
| X = 'SKOLEMAAAV1'(X)
| 'SKOLEMAAAV4' = g('SKOLEMAAAV1'(X)) ),
inference('HYPERRESOLVE',[status(thm)],[60,theory(equality)]) ).
cnf(84,plain,
( 'SKOLEMAAAV3' = f(g('SKOLEMAAAV3'))
| X = 'SKOLEMAAAV1'(X)
| 'SKOLEMAAAV1'(X) = f('SKOLEMAAAV4') ),
inference('PARAMODULATE',[status(thm)],[55,83,theory(equality)]) ).
cnf(86,plain,
( 'SKOLEMAAAV3' = f(g('SKOLEMAAAV3'))
| f('SKOLEMAAAV4') = 'SKOLEMAAAV1'(f('SKOLEMAAAV4')) ),
inference('FACTOR',[status(thm)],[84]) ).
cnf(92,plain,
( 'SKOLEMAAAV3' = f(g('SKOLEMAAAV3'))
| f('SKOLEMAAAV4') != f(g(f('SKOLEMAAAV4')))
| 'SKOLEMAAAV2'(X) = g(f('SKOLEMAAAV2'(X)))
| X = 'SKOLEMAAAV2'(X) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2,86,theory(equality)]),theory(equality)]) ).
cnf(104,plain,
( X = 'SKOLEMAAAV1'(X)
| Y = 'SKOLEMAAAV1'(Y)
| 'SKOLEMAAAV2'(Z) = g(f('SKOLEMAAAV2'(Z)))
| Z = 'SKOLEMAAAV2'(Z)
| 'SKOLEMAAAV3' = 'SKOLEMAAAV1'(Y)
| 'SKOLEMAAAV4' = g('SKOLEMAAAV1'(X)) ),
inference('CONDENSE',[status(thm)],[inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[13,4,theory(equality)]),theory(equality)])]) ).
cnf(106,plain,
( 'SKOLEMAAAV3' = 'SKOLEMAAAV1'('SKOLEMAAAV3')
| X = 'SKOLEMAAAV2'(X)
| 'SKOLEMAAAV4' = g(f('SKOLEMAAAV4'))
| 'SKOLEMAAAV3' = f('SKOLEMAAAV2'(X)) ),
inference('HYPERRESOLVE',[status(thm)],[36,theory(equality)]) ).
cnf(107,plain,
( 'SKOLEMAAAV3' = 'SKOLEMAAAV1'('SKOLEMAAAV3')
| X = 'SKOLEMAAAV2'(X)
| 'SKOLEMAAAV4' = g(f('SKOLEMAAAV4'))
| 'SKOLEMAAAV2'(X) = g('SKOLEMAAAV3') ),
inference('PARAMODULATE',[status(thm)],[27,106,theory(equality)]) ).
cnf(109,plain,
( 'SKOLEMAAAV3' = 'SKOLEMAAAV1'('SKOLEMAAAV3')
| g('SKOLEMAAAV3') = 'SKOLEMAAAV2'(g('SKOLEMAAAV3'))
| 'SKOLEMAAAV4' = g(f('SKOLEMAAAV4')) ),
inference('FACTOR',[status(thm)],[107]) ).
cnf(115,plain,
( 'SKOLEMAAAV3' = 'SKOLEMAAAV1'('SKOLEMAAAV3')
| 'SKOLEMAAAV4' = g(f('SKOLEMAAAV4'))
| 'SKOLEMAAAV1'(X) = f(g('SKOLEMAAAV1'(X)))
| X = 'SKOLEMAAAV1'(X)
| g('SKOLEMAAAV3') != g(f(g('SKOLEMAAAV3'))) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3,109,theory(equality)]),theory(equality)]) ).
cnf(130,plain,
( 'SKOLEMAAAV3' = f(g('SKOLEMAAAV3'))
| 'SKOLEMAAAV2'(X) = g(f('SKOLEMAAAV2'(X)))
| X = 'SKOLEMAAAV2'(X) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[92,9,theory(equality)]),theory(equality)]) ).
cnf(131,plain,
( 'SKOLEMAAAV3' = f(g('SKOLEMAAAV3'))
| X = 'SKOLEMAAAV2'(X)
| 'SKOLEMAAAV4' = 'SKOLEMAAAV2'(X) ),
inference('HYPERRESOLVE',[status(thm)],[7,130,theory(equality)]) ).
cnf(134,plain,
( 'SKOLEMAAAV3' = f(g('SKOLEMAAAV3'))
| 'SKOLEMAAAV4' = 'SKOLEMAAAV2'('SKOLEMAAAV4') ),
inference('FACTOR',[status(thm)],[131]) ).
cnf(135,plain,
( 'SKOLEMAAAV3' = f(g('SKOLEMAAAV3'))
| 'SKOLEMAAAV2'('SKOLEMAAAV4') = g(f('SKOLEMAAAV2'('SKOLEMAAAV4'))) ),
inference('HYPERRESOLVE',[status(thm)],[8,131,theory(equality)]) ).
cnf(139,plain,
( 'SKOLEMAAAV3' = f(g('SKOLEMAAAV3'))
| 'SKOLEMAAAV1'(X) != f(g('SKOLEMAAAV1'(X)))
| X != 'SKOLEMAAAV1'(X)
| 'SKOLEMAAAV4' != 'SKOLEMAAAV2'('SKOLEMAAAV4') ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1,135,theory(equality)]),theory(equality)]) ).
cnf(142,plain,
( 'SKOLEMAAAV3' = f(g('SKOLEMAAAV3'))
| 'SKOLEMAAAV1'(X) != f(g('SKOLEMAAAV1'(X)))
| X != 'SKOLEMAAAV1'(X) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[139,134,theory(equality)]),theory(equality)]) ).
cnf(143,plain,
( 'SKOLEMAAAV3' = f(g('SKOLEMAAAV3'))
| f('SKOLEMAAAV4') != f(g(f('SKOLEMAAAV4'))) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[142,86,theory(equality)]),theory(equality)]) ).
cnf(147,plain,
'SKOLEMAAAV3' = f(g('SKOLEMAAAV3')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[143,9,theory(equality)]),theory(equality)]) ).
cnf(149,plain,
( 'SKOLEMAAAV3' = 'SKOLEMAAAV1'('SKOLEMAAAV3')
| 'SKOLEMAAAV4' = g(f('SKOLEMAAAV4'))
| 'SKOLEMAAAV1'(X) = f(g('SKOLEMAAAV1'(X)))
| X = 'SKOLEMAAAV1'(X) ),
inference('REWRITE',[status(thm)],[115,147,theory(equality)]) ).
cnf(153,plain,
( X != f(g(X))
| 'SKOLEMAAAV3' = X
| 'SKOLEMAAAV4' = g('SKOLEMAAAV3') ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5,147,theory(equality)]),theory(equality)]) ).
cnf(158,plain,
( 'SKOLEMAAAV3' = 'SKOLEMAAAV1'('SKOLEMAAAV3')
| 'SKOLEMAAAV4' = g(f('SKOLEMAAAV4')) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,149,theory(equality)])]) ).
cnf(159,plain,
( 'SKOLEMAAAV4' = g(f('SKOLEMAAAV4'))
| 'SKOLEMAAAV1'('SKOLEMAAAV3') = f(g('SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('HYPERRESOLVE',[status(thm)],[8,158,theory(equality)]) ).
cnf(160,plain,
( 'SKOLEMAAAV4' = g(f('SKOLEMAAAV4'))
| 'SKOLEMAAAV2'(X) = g(f('SKOLEMAAAV2'(X)))
| X = 'SKOLEMAAAV2'(X) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2,158,theory(equality)]),147,theory(equality)]) ).
cnf(161,plain,
( 'SKOLEMAAAV4' = g(f('SKOLEMAAAV4'))
| 'SKOLEMAAAV2'(X) != g(f('SKOLEMAAAV2'(X)))
| X != 'SKOLEMAAAV2'(X) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1,158,theory(equality)]),147,theory(equality)]) ).
cnf(163,plain,
( 'SKOLEMAAAV4' = g(f('SKOLEMAAAV4'))
| X != f(g(X))
| 'SKOLEMAAAV3' = X
| 'SKOLEMAAAV4' = g('SKOLEMAAAV1'('SKOLEMAAAV3')) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5,159,theory(equality)]),theory(equality)]) ).
cnf(169,plain,
( 'SKOLEMAAAV4' = g(f('SKOLEMAAAV4'))
| X = 'SKOLEMAAAV2'(X)
| 'SKOLEMAAAV3' = f('SKOLEMAAAV2'(X))
| 'SKOLEMAAAV4' = g('SKOLEMAAAV1'('SKOLEMAAAV3')) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[163,160,theory(equality)]),theory(equality)]) ).
cnf(170,plain,
( 'SKOLEMAAAV4' = g(f('SKOLEMAAAV4'))
| X = 'SKOLEMAAAV2'(X)
| 'SKOLEMAAAV4' = g('SKOLEMAAAV1'('SKOLEMAAAV3'))
| 'SKOLEMAAAV2'(X) = g('SKOLEMAAAV3') ),
inference('PARAMODULATE',[status(thm)],[160,169,theory(equality)]) ).
cnf(172,plain,
( 'SKOLEMAAAV4' = g(f('SKOLEMAAAV4'))
| 'SKOLEMAAAV4' = g('SKOLEMAAAV1'('SKOLEMAAAV3'))
| g('SKOLEMAAAV3') = 'SKOLEMAAAV2'(g('SKOLEMAAAV3')) ),
inference('HYPERRESOLVE',[status(thm)],[1,170,159,158,160]) ).
cnf(175,plain,
( 'SKOLEMAAAV4' = g(f('SKOLEMAAAV4'))
| 'SKOLEMAAAV4' = g('SKOLEMAAAV1'('SKOLEMAAAV3')) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[161,172,theory(equality)]),147,theory(equality)]) ).
cnf(176,plain,
( 'SKOLEMAAAV4' = g(f('SKOLEMAAAV4'))
| 'SKOLEMAAAV4' = g('SKOLEMAAAV3') ),
inference('PARAMODULATE',[status(thm)],[175,158,theory(equality)]) ).
cnf(177,plain,
( 'SKOLEMAAAV4' = g(f('SKOLEMAAAV4'))
| 'SKOLEMAAAV1'('SKOLEMAAAV3') = f('SKOLEMAAAV4') ),
inference('PARAMODULATE',[status(thm)],[159,175,theory(equality)]) ).
cnf(178,plain,
( 'SKOLEMAAAV4' = g('SKOLEMAAAV3')
| 'SKOLEMAAAV3' = f('SKOLEMAAAV4') ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[153,176,theory(equality)]),theory(equality)]) ).
cnf(179,plain,
'SKOLEMAAAV4' = g(f('SKOLEMAAAV4')),
inference('PARAMODULATE',[status(thm)],[175,177,theory(equality)]) ).
cnf(183,plain,
'SKOLEMAAAV3' = f('SKOLEMAAAV4'),
inference('PARAMODULATE',[status(thm)],[147,178,theory(equality)]) ).
cnf(184,plain,
'SKOLEMAAAV4' = g('SKOLEMAAAV3'),
inference('REWRITE',[status(thm)],[179,183,theory(equality)]) ).
cnf(190,plain,
( X = 'SKOLEMAAAV1'(X)
| 'SKOLEMAAAV3' = 'SKOLEMAAAV1'(X)
| 'SKOLEMAAAV2'(Y) = g(f('SKOLEMAAAV2'(Y)))
| Y = 'SKOLEMAAAV2'(Y) ),
inference('CONDENSE',[status(thm)],[inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4,104,theory(equality)]),183,theory(equality)])]) ).
cnf(191,plain,
( 'SKOLEMAAAV3' = 'SKOLEMAAAV1'('SKOLEMAAAV3')
| 'SKOLEMAAAV2'(X) = g(f('SKOLEMAAAV2'(X)))
| X = 'SKOLEMAAAV2'(X) ),
inference('FACTOR',[status(thm)],[190]) ).
cnf(196,plain,
( 'SKOLEMAAAV3' = 'SKOLEMAAAV1'(X)
| X != f(g(X))
| 'SKOLEMAAAV2'(Y) = g(f('SKOLEMAAAV2'(Y)))
| Y = 'SKOLEMAAAV2'(Y) ),
inference('CONDENSE',[status(thm)],[inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2,190,theory(equality)]),theory(equality)])]) ).
cnf(199,plain,
( 'SKOLEMAAAV3' = 'SKOLEMAAAV1'('SKOLEMAAAV3')
| X = 'SKOLEMAAAV2'(X)
| Y != f(g(Y))
| 'SKOLEMAAAV3' = Y
| 'SKOLEMAAAV4' = 'SKOLEMAAAV2'(X) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5,191,theory(equality)]),theory(equality)]) ).
cnf(203,plain,
( 'SKOLEMAAAV3' = 'SKOLEMAAAV1'('SKOLEMAAAV3')
| X = 'SKOLEMAAAV2'(X)
| Y = 'SKOLEMAAAV2'(Y)
| 'SKOLEMAAAV3' = f('SKOLEMAAAV2'(X))
| 'SKOLEMAAAV4' = 'SKOLEMAAAV2'(Y) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[199,191,theory(equality)]),theory(equality)]) ).
cnf(204,plain,
( X = 'SKOLEMAAAV1'(X)
| 'SKOLEMAAAV3' = 'SKOLEMAAAV1'('SKOLEMAAAV1'(X))
| 'SKOLEMAAAV2'(Y) = g(f('SKOLEMAAAV2'(Y)))
| Y = 'SKOLEMAAAV2'(Y) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[196,4])]) ).
cnf(210,plain,
( X = 'SKOLEMAAAV1'(X)
| 'SKOLEMAAAV3' != 'SKOLEMAAAV1'(X)
| 'SKOLEMAAAV2'(Y) = g(f('SKOLEMAAAV2'(Y)))
| Y = 'SKOLEMAAAV2'(Y) ),
inference('CONDENSE',[status(thm)],[inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2,204,theory(equality)]),183,184,theory(equality)])]) ).
cnf(212,plain,
( X = 'SKOLEMAAAV1'(X)
| 'SKOLEMAAAV2'(Y) = g(f('SKOLEMAAAV2'(Y)))
| Y = 'SKOLEMAAAV2'(Y) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[210,190])]) ).
cnf(217,plain,
( X != f(g(X))
| 'SKOLEMAAAV2'(Y) = g(f('SKOLEMAAAV2'(Y)))
| Y = 'SKOLEMAAAV2'(Y) ),
inference('CONDENSE',[status(thm)],[inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2,212,theory(equality)]),theory(equality)])]) ).
cnf(218,plain,
( 'SKOLEMAAAV2'(X) = g(f('SKOLEMAAAV2'(X)))
| X = 'SKOLEMAAAV2'(X) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[217,184,theory(equality)]),183,theory(equality)]) ).
cnf(220,plain,
( X = 'SKOLEMAAAV2'(X)
| Y != f(g(Y))
| 'SKOLEMAAAV3' = Y
| 'SKOLEMAAAV4' = 'SKOLEMAAAV2'(X) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5,218,theory(equality)]),theory(equality)]) ).
cnf(226,plain,
( 'SKOLEMAAAV3' = 'SKOLEMAAAV1'('SKOLEMAAAV3')
| X = 'SKOLEMAAAV2'(X)
| 'SKOLEMAAAV4' = 'SKOLEMAAAV2'(X) ),
inference('CONDENSE',[status(thm)],[inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[218,203,theory(equality)]),184,theory(equality)])]) ).
cnf(227,plain,
( 'SKOLEMAAAV3' = 'SKOLEMAAAV1'('SKOLEMAAAV3')
| 'SKOLEMAAAV4' = 'SKOLEMAAAV2'('SKOLEMAAAV4') ),
inference('FACTOR',[status(thm)],[226]) ).
cnf(232,plain,
( 'SKOLEMAAAV3' = 'SKOLEMAAAV1'('SKOLEMAAAV3')
| 'SKOLEMAAAV1'(X) = f(g('SKOLEMAAAV1'(X)))
| X = 'SKOLEMAAAV1'(X) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3,227,theory(equality)]),184,183,theory(equality)]) ).
cnf(234,plain,
( X = 'SKOLEMAAAV2'(X)
| Y = 'SKOLEMAAAV2'(Y)
| 'SKOLEMAAAV3' = f('SKOLEMAAAV2'(X))
| 'SKOLEMAAAV4' = 'SKOLEMAAAV2'(Y) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[220,218,theory(equality)]),theory(equality)]) ).
cnf(235,plain,
( 'SKOLEMAAAV3' = 'SKOLEMAAAV1'('SKOLEMAAAV3')
| 'SKOLEMAAAV1'('SKOLEMAAAV3') = f(g('SKOLEMAAAV1'('SKOLEMAAAV3'))) ),
inference('FACTOR',[status(thm)],[232]) ).
cnf(238,plain,
( 'SKOLEMAAAV3' = 'SKOLEMAAAV1'('SKOLEMAAAV3')
| X != g(f(X))
| 'SKOLEMAAAV4' = X ),
inference('CONDENSE',[status(thm)],[inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5,232,theory(equality)]),theory(equality)])]) ).
cnf(244,plain,
( 'SKOLEMAAAV3' = 'SKOLEMAAAV1'('SKOLEMAAAV3')
| 'SKOLEMAAAV4' = g('SKOLEMAAAV1'('SKOLEMAAAV3')) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[238,235,theory(equality)]),theory(equality)]) ).
cnf(246,plain,
'SKOLEMAAAV3' = 'SKOLEMAAAV1'('SKOLEMAAAV3'),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[235,244,theory(equality)]),183,theory(equality)]) ).
cnf(247,plain,
( 'SKOLEMAAAV2'(X) != g(f('SKOLEMAAAV2'(X)))
| X != 'SKOLEMAAAV2'(X) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1,246,theory(equality)]),183,184,theory(equality)]) ).
cnf(251,plain,
( X = 'SKOLEMAAAV2'(X)
| 'SKOLEMAAAV4' = 'SKOLEMAAAV2'(X) ),
inference('CONDENSE',[status(thm)],[inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[218,234,theory(equality)]),184,theory(equality)])]) ).
cnf(252,plain,
'SKOLEMAAAV4' = 'SKOLEMAAAV2'('SKOLEMAAAV4'),
inference('HYPERRESOLVE',[status(thm)],[247,251,218]) ).
cnf(255,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[247,252]),184,183,252,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN551+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.32 % Computer : n028.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Mon Jul 11 13:29:28 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.18/0.43 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 *
% 0.18/0.44 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45 (USE-FACTORING :POS)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45 *
% 0.18/0.45 "."
% 0.18/0.45 *
% 0.18/0.45 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T13:29:29
% 0.18/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-07-11T13:29:29
% 0.85/1.07
% 0.85/1.07
% 0.85/1.07 #||
% 0.85/1.07 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.85/1.07 % SZS output start Refutation
% See solution above
% 0.85/1.08 ||#
% 0.85/1.08
% 0.85/1.08 ; Summary of computation:
% 0.85/1.08 ; 2521 formulas have been input or derived (from 116 formulas).
% 0.85/1.08 ; 255 (10%) were retained. Of these,
% 0.85/1.08 ; 239 (94%) were simplified or subsumed later,
% 0.85/1.08 ; 16 ( 6%) are still being kept.
% 0.85/1.08 ;
% 0.85/1.08 ; Run time in seconds excluding printing time:
% 0.85/1.08 ; 0.000 0% Read assertion file (1 call)
% 0.85/1.08 ; 0.001 0% Assert (1 call)
% 0.85/1.08 ; 0.023 4% Process new row (2,074 calls)
% 0.85/1.08 ; 0.112 18% Resolution (230 calls)
% 0.85/1.08 ; 0.035 6% Paramodulation (115 calls)
% 0.85/1.08 ; 0.000 0% Factoring (56 calls)
% 0.85/1.08 ; 0.092 15% Condensing (1,366 calls)
% 0.85/1.08 ; 0.181 29% Forward subsumption (1,366 calls)
% 0.85/1.08 ; 0.018 3% Backward subsumption (248 calls)
% 0.85/1.08 ; 0.034 5% Clause clause subsumption (2,194 calls)
% 0.85/1.08 ; 0.063 10% Forward simplification (1,842 calls)
% 0.85/1.08 ; 0.002 0% Backward simplification (255 calls)
% 0.85/1.08 ; 0.029 5% Ordering (14,950 calls)
% 0.85/1.08 ; 0.001 0% Sortal reasoning (32 calls)
% 0.85/1.08 ; 0.000 0% Purity testing (1 call)
% 0.85/1.08 ; 0.032 5% Other
% 0.85/1.08 ; 0.623 Total
% 0.85/1.08 ; 0.634 Real time
% 0.85/1.08 ;
% 0.85/1.08 ; Term-hash-array has 130 terms in all.
% 0.85/1.08 ; Feature-vector-row-index has 11 entries (84 at peak, 248 added, 237 deleted).
% 0.85/1.08 ; Feature-vector-row-index has 78 nodes (1,121 at peak, 3,211 added, 3,133 deleted).
% 0.85/1.08 ; Retrieved 5,614 possibly forward subsuming rows in 1,366 calls.
% 0.85/1.08 ; Retrieved 198 possibly backward subsumed rows in 248 calls.
% 0.85/1.08 ; Path-index has 29 entries (118 at peak, 245 added, 216 deleted).
% 0.85/1.08 ; Path-index has 86 nodes (135 at peak, 197 added, 111 deleted).
% 0.85/1.08 ; Trie-index has 29 entries (118 at peak, 245 added, 216 deleted).
% 0.85/1.08 ; Trie-index has 53 nodes (221 at peak, 353 added, 300 deleted).
% 0.85/1.08 ; Retrieved 384 generalization terms in 1,513 calls.
% 0.85/1.08 ; Retrieved 6 instance terms in 6 calls.
% 0.85/1.08 ; Retrieved 24,573 unifiable terms in 1,633 calls.
% 0.85/1.08 ;
% 0.85/1.08 ; The agenda of rows to process has 6 entries:
% 0.85/1.08 ; 2 with value 35 2 with value 45 1 with value 48
% 0.85/1.08 ; 1 with value 42
% 0.85/1.08 ; The agenda of rows to give has 2 entries:
% 0.85/1.08 ; 1 with value (4 32) 1 with value (4 36)
% 0.85/1.08 Evaluation took:
% 0.85/1.08 0.634 seconds of real time
% 0.85/1.08 0.58668 seconds of user run time
% 0.85/1.08 0.046841 seconds of system run time
% 0.85/1.08 [Run times include 0.012 seconds GC run time.]
% 0.85/1.08 0 calls to %EVAL
% 0.85/1.08 0 page faults and
% 0.85/1.08 55,411,992 bytes consed.
% 0.85/1.08 :PROOF-FOUND
% 0.85/1.08 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T13:29:29
% 0.85/1.08 :PROOF-FOUND
% 0.85/1.08 *
%------------------------------------------------------------------------------