TSTP Solution File: KRS162+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KRS162+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 : Sun Jul 17 03:29:06 EDT 2022
% Result : Theorem 30.16s 30.34s
% Output : Refutation 30.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 30
% Syntax : Number of clauses : 121 ( 19 unt; 85 nHn; 119 RR)
% Number of literals : 459 ( 178 equ; 117 neg)
% Maximal clause size : 19 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 35 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( X != Y
| ~ cB(X)
| cB(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cB_substitution_1) ).
cnf(13,axiom,
cowlThing(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
cnf(14,axiom,
~ cowlNothing(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
cnf(15,axiom,
( ~ xsd_string(X)
| ~ xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
cnf(16,axiom,
( xsd_string(X)
| xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
cnf(17,axiom,
( ~ rp(X,Y)
| cA(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(18,axiom,
( ~ rq(X,Y)
| cB(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
cnf(19,axiom,
( ~ cB(X)
| ~ cA(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
cnf(20,axiom,
( ~ rq(X,Y)
| rr(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
cnf(21,axiom,
( ~ rp(X,Y)
| rr(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
cnf(22,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV1')
| cowlNothing('SKOLEMAAAV1')
| ~ xsd_string('SKOLEMAAAV2')
| xsd_integer('SKOLEMAAAV2')
| rp('SKOLEMAAAV3','SKOLEMAAAV4') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
cnf(23,plain,
( ~ xsd_string('SKOLEMAAAV2')
| xsd_integer('SKOLEMAAAV2')
| rp('SKOLEMAAAV3','SKOLEMAAAV4') ),
inference('REWRITE',[status(thm)],[22,14,13]) ).
cnf(24,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV1')
| cowlNothing('SKOLEMAAAV1')
| ~ xsd_string('SKOLEMAAAV2')
| xsd_integer('SKOLEMAAAV2')
| rp('SKOLEMAAAV3','SKOLEMAAAV5') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
cnf(25,plain,
( ~ xsd_string('SKOLEMAAAV2')
| xsd_integer('SKOLEMAAAV2')
| rp('SKOLEMAAAV3','SKOLEMAAAV5') ),
inference('REWRITE',[status(thm)],[24,14,13]) ).
cnf(26,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV1')
| cowlNothing('SKOLEMAAAV1')
| ~ xsd_string('SKOLEMAAAV2')
| xsd_integer('SKOLEMAAAV2')
| 'SKOLEMAAAV4' != 'SKOLEMAAAV5' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
cnf(27,plain,
( ~ xsd_string('SKOLEMAAAV2')
| xsd_integer('SKOLEMAAAV2')
| 'SKOLEMAAAV4' != 'SKOLEMAAAV5' ),
inference('REWRITE',[status(thm)],[26,14,13]) ).
cnf(28,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV1')
| cowlNothing('SKOLEMAAAV1')
| ~ xsd_string('SKOLEMAAAV2')
| xsd_integer('SKOLEMAAAV2')
| rq('SKOLEMAAAV3','SKOLEMAAAV6') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
cnf(29,plain,
( ~ xsd_string('SKOLEMAAAV2')
| xsd_integer('SKOLEMAAAV2')
| rq('SKOLEMAAAV3','SKOLEMAAAV6') ),
inference('REWRITE',[status(thm)],[28,14,13]) ).
cnf(30,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV1')
| cowlNothing('SKOLEMAAAV1')
| ~ xsd_string('SKOLEMAAAV2')
| xsd_integer('SKOLEMAAAV2')
| rq('SKOLEMAAAV3','SKOLEMAAAV7') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
cnf(31,plain,
( ~ xsd_string('SKOLEMAAAV2')
| xsd_integer('SKOLEMAAAV2')
| rq('SKOLEMAAAV3','SKOLEMAAAV7') ),
inference('REWRITE',[status(thm)],[30,14,13]) ).
cnf(32,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV1')
| cowlNothing('SKOLEMAAAV1')
| ~ xsd_string('SKOLEMAAAV2')
| xsd_integer('SKOLEMAAAV2')
| rq('SKOLEMAAAV3','SKOLEMAAAV8') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
cnf(33,plain,
( ~ xsd_string('SKOLEMAAAV2')
| xsd_integer('SKOLEMAAAV2')
| rq('SKOLEMAAAV3','SKOLEMAAAV8') ),
inference('REWRITE',[status(thm)],[32,14,13]) ).
cnf(34,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV1')
| cowlNothing('SKOLEMAAAV1')
| ~ xsd_string('SKOLEMAAAV2')
| xsd_integer('SKOLEMAAAV2')
| 'SKOLEMAAAV6' != 'SKOLEMAAAV7' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
cnf(35,plain,
( ~ xsd_string('SKOLEMAAAV2')
| xsd_integer('SKOLEMAAAV2')
| 'SKOLEMAAAV6' != 'SKOLEMAAAV7' ),
inference('REWRITE',[status(thm)],[34,14,13]) ).
cnf(36,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV1')
| cowlNothing('SKOLEMAAAV1')
| ~ xsd_string('SKOLEMAAAV2')
| xsd_integer('SKOLEMAAAV2')
| 'SKOLEMAAAV6' != 'SKOLEMAAAV8' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
cnf(37,plain,
( ~ xsd_string('SKOLEMAAAV2')
| xsd_integer('SKOLEMAAAV2')
| 'SKOLEMAAAV6' != 'SKOLEMAAAV8' ),
inference('REWRITE',[status(thm)],[36,14,13]) ).
cnf(38,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV1')
| cowlNothing('SKOLEMAAAV1')
| ~ xsd_string('SKOLEMAAAV2')
| xsd_integer('SKOLEMAAAV2')
| 'SKOLEMAAAV7' != 'SKOLEMAAAV8' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
cnf(39,plain,
( ~ xsd_string('SKOLEMAAAV2')
| xsd_integer('SKOLEMAAAV2')
| 'SKOLEMAAAV7' != 'SKOLEMAAAV8' ),
inference('REWRITE',[status(thm)],[38,14,13]) ).
cnf(40,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV1')
| cowlNothing('SKOLEMAAAV1')
| ~ xsd_string('SKOLEMAAAV2')
| xsd_integer('SKOLEMAAAV2')
| ~ rr('SKOLEMAAAV3',X)
| ~ rr('SKOLEMAAAV3',Y)
| ~ rr('SKOLEMAAAV3',Z)
| ~ rr('SKOLEMAAAV3',U)
| ~ rr('SKOLEMAAAV3',V)
| X = Y
| X = Z
| X = U
| X = V
| Y = Z
| Y = U
| Y = V
| Z = U
| Z = V
| U = V ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
cnf(41,plain,
( ~ xsd_string('SKOLEMAAAV2')
| xsd_integer('SKOLEMAAAV2')
| ~ rr('SKOLEMAAAV3',X)
| ~ rr('SKOLEMAAAV3',Y)
| ~ rr('SKOLEMAAAV3',Z)
| ~ rr('SKOLEMAAAV3',U)
| ~ rr('SKOLEMAAAV3',V)
| X = Y
| X = Z
| X = U
| X = V
| Y = Z
| Y = U
| Y = V
| Z = U
| Z = V
| U = V ),
inference('REWRITE',[status(thm)],[40,14,13]) ).
cnf(42,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV1')
| cowlNothing('SKOLEMAAAV1')
| xsd_string('SKOLEMAAAV2')
| ~ xsd_integer('SKOLEMAAAV2')
| rp('SKOLEMAAAV3','SKOLEMAAAV4') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
cnf(43,plain,
( xsd_string('SKOLEMAAAV2')
| ~ xsd_integer('SKOLEMAAAV2')
| rp('SKOLEMAAAV3','SKOLEMAAAV4') ),
inference('REWRITE',[status(thm)],[42,14,13]) ).
cnf(44,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV1')
| cowlNothing('SKOLEMAAAV1')
| xsd_string('SKOLEMAAAV2')
| ~ xsd_integer('SKOLEMAAAV2')
| rp('SKOLEMAAAV3','SKOLEMAAAV5') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
cnf(45,plain,
( xsd_string('SKOLEMAAAV2')
| ~ xsd_integer('SKOLEMAAAV2')
| rp('SKOLEMAAAV3','SKOLEMAAAV5') ),
inference('REWRITE',[status(thm)],[44,14,13]) ).
cnf(46,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV1')
| cowlNothing('SKOLEMAAAV1')
| xsd_string('SKOLEMAAAV2')
| ~ xsd_integer('SKOLEMAAAV2')
| 'SKOLEMAAAV4' != 'SKOLEMAAAV5' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
cnf(47,plain,
( xsd_string('SKOLEMAAAV2')
| ~ xsd_integer('SKOLEMAAAV2')
| 'SKOLEMAAAV4' != 'SKOLEMAAAV5' ),
inference('REWRITE',[status(thm)],[46,14,13]) ).
cnf(48,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV1')
| cowlNothing('SKOLEMAAAV1')
| xsd_string('SKOLEMAAAV2')
| ~ xsd_integer('SKOLEMAAAV2')
| rq('SKOLEMAAAV3','SKOLEMAAAV6') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
cnf(49,plain,
( xsd_string('SKOLEMAAAV2')
| ~ xsd_integer('SKOLEMAAAV2')
| rq('SKOLEMAAAV3','SKOLEMAAAV6') ),
inference('REWRITE',[status(thm)],[48,14,13]) ).
cnf(50,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV1')
| cowlNothing('SKOLEMAAAV1')
| xsd_string('SKOLEMAAAV2')
| ~ xsd_integer('SKOLEMAAAV2')
| rq('SKOLEMAAAV3','SKOLEMAAAV7') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
cnf(51,plain,
( xsd_string('SKOLEMAAAV2')
| ~ xsd_integer('SKOLEMAAAV2')
| rq('SKOLEMAAAV3','SKOLEMAAAV7') ),
inference('REWRITE',[status(thm)],[50,14,13]) ).
cnf(52,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV1')
| cowlNothing('SKOLEMAAAV1')
| xsd_string('SKOLEMAAAV2')
| ~ xsd_integer('SKOLEMAAAV2')
| rq('SKOLEMAAAV3','SKOLEMAAAV8') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
cnf(53,plain,
( xsd_string('SKOLEMAAAV2')
| ~ xsd_integer('SKOLEMAAAV2')
| rq('SKOLEMAAAV3','SKOLEMAAAV8') ),
inference('REWRITE',[status(thm)],[52,14,13]) ).
cnf(54,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV1')
| cowlNothing('SKOLEMAAAV1')
| xsd_string('SKOLEMAAAV2')
| ~ xsd_integer('SKOLEMAAAV2')
| 'SKOLEMAAAV6' != 'SKOLEMAAAV7' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
cnf(55,plain,
( xsd_string('SKOLEMAAAV2')
| ~ xsd_integer('SKOLEMAAAV2')
| 'SKOLEMAAAV6' != 'SKOLEMAAAV7' ),
inference('REWRITE',[status(thm)],[54,14,13]) ).
cnf(56,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV1')
| cowlNothing('SKOLEMAAAV1')
| xsd_string('SKOLEMAAAV2')
| ~ xsd_integer('SKOLEMAAAV2')
| 'SKOLEMAAAV6' != 'SKOLEMAAAV8' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
cnf(57,plain,
( xsd_string('SKOLEMAAAV2')
| ~ xsd_integer('SKOLEMAAAV2')
| 'SKOLEMAAAV6' != 'SKOLEMAAAV8' ),
inference('REWRITE',[status(thm)],[56,14,13]) ).
cnf(58,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV1')
| cowlNothing('SKOLEMAAAV1')
| xsd_string('SKOLEMAAAV2')
| ~ xsd_integer('SKOLEMAAAV2')
| 'SKOLEMAAAV7' != 'SKOLEMAAAV8' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
cnf(59,plain,
( xsd_string('SKOLEMAAAV2')
| ~ xsd_integer('SKOLEMAAAV2')
| 'SKOLEMAAAV7' != 'SKOLEMAAAV8' ),
inference('REWRITE',[status(thm)],[58,14,13]) ).
cnf(60,negated_conjecture,
( ~ cowlThing('SKOLEMAAAV1')
| cowlNothing('SKOLEMAAAV1')
| xsd_string('SKOLEMAAAV2')
| ~ xsd_integer('SKOLEMAAAV2')
| ~ rr('SKOLEMAAAV3',X)
| ~ rr('SKOLEMAAAV3',Y)
| ~ rr('SKOLEMAAAV3',Z)
| ~ rr('SKOLEMAAAV3',U)
| ~ rr('SKOLEMAAAV3',V)
| X = Y
| X = Z
| X = U
| X = V
| Y = Z
| Y = U
| Y = V
| Z = U
| Z = V
| U = V ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
cnf(61,plain,
( xsd_string('SKOLEMAAAV2')
| ~ xsd_integer('SKOLEMAAAV2')
| ~ rr('SKOLEMAAAV3',X)
| ~ rr('SKOLEMAAAV3',Y)
| ~ rr('SKOLEMAAAV3',Z)
| ~ rr('SKOLEMAAAV3',U)
| ~ rr('SKOLEMAAAV3',V)
| X = Y
| X = Z
| X = U
| X = V
| Y = Z
| Y = U
| Y = V
| Z = U
| Z = V
| U = V ),
inference('REWRITE',[status(thm)],[60,14,13]) ).
cnf(62,plain,
( xsd_integer('SKOLEMAAAV2')
| rp('SKOLEMAAAV3','SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[23,16]) ).
cnf(63,plain,
( xsd_integer('SKOLEMAAAV2')
| rp('SKOLEMAAAV3','SKOLEMAAAV5') ),
inference('HYPERRESOLVE',[status(thm)],[25,16]) ).
cnf(64,plain,
( xsd_integer('SKOLEMAAAV2')
| rq('SKOLEMAAAV3','SKOLEMAAAV6') ),
inference('HYPERRESOLVE',[status(thm)],[29,16]) ).
cnf(65,plain,
( xsd_integer('SKOLEMAAAV2')
| rq('SKOLEMAAAV3','SKOLEMAAAV7') ),
inference('HYPERRESOLVE',[status(thm)],[31,16]) ).
cnf(66,plain,
( xsd_integer('SKOLEMAAAV2')
| rq('SKOLEMAAAV3','SKOLEMAAAV8') ),
inference('HYPERRESOLVE',[status(thm)],[33,16]) ).
cnf(67,plain,
( xsd_integer('SKOLEMAAAV2')
| cA('SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[17,62]) ).
cnf(68,plain,
( xsd_integer('SKOLEMAAAV2')
| rr('SKOLEMAAAV3','SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[21,62]) ).
cnf(69,plain,
( xsd_integer('SKOLEMAAAV2')
| cA('SKOLEMAAAV5') ),
inference('HYPERRESOLVE',[status(thm)],[17,63]) ).
cnf(70,plain,
( xsd_integer('SKOLEMAAAV2')
| rr('SKOLEMAAAV3','SKOLEMAAAV5') ),
inference('HYPERRESOLVE',[status(thm)],[21,63]) ).
cnf(71,plain,
( xsd_integer('SKOLEMAAAV2')
| cB('SKOLEMAAAV6') ),
inference('HYPERRESOLVE',[status(thm)],[18,64]) ).
cnf(72,plain,
( xsd_integer('SKOLEMAAAV2')
| rr('SKOLEMAAAV3','SKOLEMAAAV6') ),
inference('HYPERRESOLVE',[status(thm)],[20,64]) ).
cnf(73,plain,
( xsd_integer('SKOLEMAAAV2')
| cB('SKOLEMAAAV7') ),
inference('HYPERRESOLVE',[status(thm)],[18,65]) ).
cnf(74,plain,
( xsd_integer('SKOLEMAAAV2')
| rr('SKOLEMAAAV3','SKOLEMAAAV7') ),
inference('HYPERRESOLVE',[status(thm)],[20,65]) ).
cnf(75,plain,
( xsd_integer('SKOLEMAAAV2')
| cB('SKOLEMAAAV8') ),
inference('HYPERRESOLVE',[status(thm)],[18,66]) ).
cnf(76,plain,
( xsd_integer('SKOLEMAAAV2')
| rr('SKOLEMAAAV3','SKOLEMAAAV8') ),
inference('HYPERRESOLVE',[status(thm)],[20,66]) ).
cnf(81,plain,
( cA('SKOLEMAAAV4')
| xsd_string('SKOLEMAAAV2')
| rp('SKOLEMAAAV3','SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[43,67]) ).
cnf(85,plain,
( cA('SKOLEMAAAV5')
| xsd_string('SKOLEMAAAV2')
| rp('SKOLEMAAAV3','SKOLEMAAAV5') ),
inference('HYPERRESOLVE',[status(thm)],[45,69]) ).
cnf(89,plain,
( cB('SKOLEMAAAV6')
| xsd_string('SKOLEMAAAV2')
| rq('SKOLEMAAAV3','SKOLEMAAAV6') ),
inference('HYPERRESOLVE',[status(thm)],[49,71]) ).
cnf(93,plain,
( cB('SKOLEMAAAV7')
| xsd_string('SKOLEMAAAV2')
| rq('SKOLEMAAAV3','SKOLEMAAAV7') ),
inference('HYPERRESOLVE',[status(thm)],[51,73]) ).
cnf(97,plain,
( cB('SKOLEMAAAV8')
| xsd_string('SKOLEMAAAV2')
| rq('SKOLEMAAAV3','SKOLEMAAAV8') ),
inference('HYPERRESOLVE',[status(thm)],[53,75]) ).
cnf(102,plain,
( xsd_integer('SKOLEMAAAV2')
| 'SKOLEMAAAV8' = 'SKOLEMAAAV4'
| 'SKOLEMAAAV8' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV6' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV7' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV4' = 'SKOLEMAAAV6'
| 'SKOLEMAAAV4' = 'SKOLEMAAAV7'
| 'SKOLEMAAAV5' = 'SKOLEMAAAV6'
| 'SKOLEMAAAV5' = 'SKOLEMAAAV7'
| 'SKOLEMAAAV6' = 'SKOLEMAAAV7' ),
inference('HYPERRESOLVE',[status(thm)],[41,76,16,68,70,72,74]) ).
cnf(111,plain,
( cA('SKOLEMAAAV4')
| xsd_string('SKOLEMAAAV2') ),
inference('HYPERRESOLVE',[status(thm)],[17,81]) ).
cnf(112,plain,
cA('SKOLEMAAAV4'),
inference('HYPERRESOLVE',[status(thm)],[15,111,67]) ).
cnf(113,plain,
~ cB('SKOLEMAAAV4'),
inference('UR-RESOLVE',[status(thm)],[19,112]) ).
cnf(121,plain,
( cA('SKOLEMAAAV5')
| xsd_string('SKOLEMAAAV2') ),
inference('HYPERRESOLVE',[status(thm)],[17,85]) ).
cnf(122,plain,
cA('SKOLEMAAAV5'),
inference('HYPERRESOLVE',[status(thm)],[15,121,69]) ).
cnf(123,plain,
~ cB('SKOLEMAAAV5'),
inference('UR-RESOLVE',[status(thm)],[19,122]) ).
cnf(129,plain,
( cB('SKOLEMAAAV6')
| xsd_string('SKOLEMAAAV2') ),
inference('HYPERRESOLVE',[status(thm)],[18,89]) ).
cnf(130,plain,
cB('SKOLEMAAAV6'),
inference('HYPERRESOLVE',[status(thm)],[15,129,71]) ).
cnf(132,plain,
'SKOLEMAAAV5' != 'SKOLEMAAAV6',
inference('UR-RESOLVE',[status(thm)],[2,130,123]) ).
cnf(133,plain,
( xsd_integer('SKOLEMAAAV2')
| 'SKOLEMAAAV8' = 'SKOLEMAAAV4'
| 'SKOLEMAAAV8' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV6' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV7' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV4' = 'SKOLEMAAAV6'
| 'SKOLEMAAAV4' = 'SKOLEMAAAV7'
| 'SKOLEMAAAV5' = 'SKOLEMAAAV7'
| 'SKOLEMAAAV6' = 'SKOLEMAAAV7' ),
inference('REWRITE',[status(thm)],[102,132]) ).
cnf(134,plain,
'SKOLEMAAAV4' != 'SKOLEMAAAV6',
inference('UR-RESOLVE',[status(thm)],[2,130,113]) ).
cnf(135,plain,
( xsd_integer('SKOLEMAAAV2')
| 'SKOLEMAAAV8' = 'SKOLEMAAAV4'
| 'SKOLEMAAAV8' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV6' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV7' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV4' = 'SKOLEMAAAV7'
| 'SKOLEMAAAV5' = 'SKOLEMAAAV7'
| 'SKOLEMAAAV6' = 'SKOLEMAAAV7' ),
inference('REWRITE',[status(thm)],[133,134]) ).
cnf(139,plain,
( cB('SKOLEMAAAV7')
| xsd_string('SKOLEMAAAV2') ),
inference('HYPERRESOLVE',[status(thm)],[18,93]) ).
cnf(140,plain,
cB('SKOLEMAAAV7'),
inference('HYPERRESOLVE',[status(thm)],[15,139,73]) ).
cnf(142,plain,
'SKOLEMAAAV5' != 'SKOLEMAAAV7',
inference('UR-RESOLVE',[status(thm)],[2,140,123]) ).
cnf(143,plain,
( xsd_integer('SKOLEMAAAV2')
| 'SKOLEMAAAV8' = 'SKOLEMAAAV4'
| 'SKOLEMAAAV8' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV6' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV7' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV4' = 'SKOLEMAAAV7'
| 'SKOLEMAAAV6' = 'SKOLEMAAAV7' ),
inference('REWRITE',[status(thm)],[135,142]) ).
cnf(144,plain,
'SKOLEMAAAV4' != 'SKOLEMAAAV7',
inference('UR-RESOLVE',[status(thm)],[2,140,113]) ).
cnf(145,plain,
( xsd_integer('SKOLEMAAAV2')
| 'SKOLEMAAAV8' = 'SKOLEMAAAV4'
| 'SKOLEMAAAV8' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV6' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV7' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV6' = 'SKOLEMAAAV7' ),
inference('REWRITE',[status(thm)],[143,144]) ).
cnf(147,plain,
( cB('SKOLEMAAAV8')
| xsd_string('SKOLEMAAAV2') ),
inference('HYPERRESOLVE',[status(thm)],[18,97]) ).
cnf(148,plain,
cB('SKOLEMAAAV8'),
inference('HYPERRESOLVE',[status(thm)],[15,147,75]) ).
cnf(150,plain,
'SKOLEMAAAV8' != 'SKOLEMAAAV5',
inference('UR-RESOLVE',[status(thm)],[2,148,123]) ).
cnf(151,plain,
( xsd_integer('SKOLEMAAAV2')
| 'SKOLEMAAAV8' = 'SKOLEMAAAV4'
| 'SKOLEMAAAV6' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV7' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV6' = 'SKOLEMAAAV7' ),
inference('REWRITE',[status(thm)],[145,150]) ).
cnf(152,plain,
'SKOLEMAAAV8' != 'SKOLEMAAAV4',
inference('UR-RESOLVE',[status(thm)],[2,148,113]) ).
cnf(153,plain,
( xsd_integer('SKOLEMAAAV2')
| 'SKOLEMAAAV6' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV7' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV6' = 'SKOLEMAAAV7' ),
inference('REWRITE',[status(thm)],[151,152]) ).
cnf(155,plain,
( 'SKOLEMAAAV6' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV7' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV6' = 'SKOLEMAAAV7'
| xsd_string('SKOLEMAAAV2')
| rq('SKOLEMAAAV3','SKOLEMAAAV8') ),
inference('HYPERRESOLVE',[status(thm)],[53,153]) ).
cnf(156,plain,
( 'SKOLEMAAAV6' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV7' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV6' = 'SKOLEMAAAV7'
| xsd_string('SKOLEMAAAV2')
| rq('SKOLEMAAAV3','SKOLEMAAAV7') ),
inference('HYPERRESOLVE',[status(thm)],[51,153]) ).
cnf(157,plain,
( 'SKOLEMAAAV6' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV7' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV6' = 'SKOLEMAAAV7'
| xsd_string('SKOLEMAAAV2')
| rq('SKOLEMAAAV3','SKOLEMAAAV6') ),
inference('HYPERRESOLVE',[status(thm)],[49,153]) ).
cnf(158,plain,
( 'SKOLEMAAAV6' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV7' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV6' = 'SKOLEMAAAV7'
| xsd_string('SKOLEMAAAV2')
| rp('SKOLEMAAAV3','SKOLEMAAAV5') ),
inference('HYPERRESOLVE',[status(thm)],[45,153]) ).
cnf(159,plain,
( 'SKOLEMAAAV6' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV7' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV6' = 'SKOLEMAAAV7'
| xsd_string('SKOLEMAAAV2')
| rp('SKOLEMAAAV3','SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[43,153]) ).
cnf(160,plain,
( 'SKOLEMAAAV6' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV7' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV6' = 'SKOLEMAAAV7'
| xsd_string('SKOLEMAAAV2')
| rr('SKOLEMAAAV3','SKOLEMAAAV8') ),
inference('HYPERRESOLVE',[status(thm)],[20,155]) ).
cnf(161,plain,
( 'SKOLEMAAAV6' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV7' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV6' = 'SKOLEMAAAV7'
| xsd_string('SKOLEMAAAV2')
| rr('SKOLEMAAAV3','SKOLEMAAAV7') ),
inference('HYPERRESOLVE',[status(thm)],[20,156]) ).
cnf(162,plain,
( 'SKOLEMAAAV6' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV7' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV6' = 'SKOLEMAAAV7'
| xsd_string('SKOLEMAAAV2')
| rr('SKOLEMAAAV3','SKOLEMAAAV6') ),
inference('HYPERRESOLVE',[status(thm)],[20,157]) ).
cnf(163,plain,
( 'SKOLEMAAAV6' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV7' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV6' = 'SKOLEMAAAV7'
| xsd_string('SKOLEMAAAV2')
| rr('SKOLEMAAAV3','SKOLEMAAAV5') ),
inference('HYPERRESOLVE',[status(thm)],[21,158]) ).
cnf(164,plain,
( 'SKOLEMAAAV6' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV7' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV6' = 'SKOLEMAAAV7'
| xsd_string('SKOLEMAAAV2')
| rr('SKOLEMAAAV3','SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[21,159]) ).
cnf(165,plain,
( 'SKOLEMAAAV6' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV7' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV6' = 'SKOLEMAAAV7'
| xsd_string('SKOLEMAAAV2') ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[61,164,153,163,162,161,160]),150,142,132,152,144,134]) ).
cnf(166,plain,
( 'SKOLEMAAAV6' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV7' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV6' = 'SKOLEMAAAV7' ),
inference('HYPERRESOLVE',[status(thm)],[15,165,153]) ).
cnf(167,plain,
( 'SKOLEMAAAV6' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV6' = 'SKOLEMAAAV7'
| xsd_integer('SKOLEMAAAV2') ),
inference('HYPERRESOLVE',[status(thm)],[39,166,16]) ).
cnf(171,plain,
( 'SKOLEMAAAV6' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV6' = 'SKOLEMAAAV7'
| xsd_string('SKOLEMAAAV2') ),
inference('HYPERRESOLVE',[status(thm)],[59,167,166]) ).
cnf(172,plain,
( 'SKOLEMAAAV6' = 'SKOLEMAAAV8'
| 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV6' = 'SKOLEMAAAV7' ),
inference('HYPERRESOLVE',[status(thm)],[15,171,167]) ).
cnf(173,plain,
( 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV6' = 'SKOLEMAAAV7'
| xsd_integer('SKOLEMAAAV2') ),
inference('HYPERRESOLVE',[status(thm)],[37,172,16]) ).
cnf(177,plain,
( 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV6' = 'SKOLEMAAAV7'
| xsd_string('SKOLEMAAAV2') ),
inference('HYPERRESOLVE',[status(thm)],[57,173,172]) ).
cnf(178,plain,
( 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| 'SKOLEMAAAV6' = 'SKOLEMAAAV7' ),
inference('HYPERRESOLVE',[status(thm)],[15,177,173]) ).
cnf(179,plain,
( 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| xsd_integer('SKOLEMAAAV2') ),
inference('HYPERRESOLVE',[status(thm)],[35,178,16]) ).
cnf(183,plain,
( 'SKOLEMAAAV4' = 'SKOLEMAAAV5'
| xsd_string('SKOLEMAAAV2') ),
inference('HYPERRESOLVE',[status(thm)],[55,179,178]) ).
cnf(184,plain,
'SKOLEMAAAV4' = 'SKOLEMAAAV5',
inference('HYPERRESOLVE',[status(thm)],[15,183,179]) ).
cnf(185,plain,
( ~ xsd_string('SKOLEMAAAV2')
| xsd_integer('SKOLEMAAAV2') ),
inference('REWRITE',[status(thm)],[27,184,theory(equality)]) ).
cnf(186,plain,
( xsd_string('SKOLEMAAAV2')
| ~ xsd_integer('SKOLEMAAAV2') ),
inference('REWRITE',[status(thm)],[47,184,theory(equality)]) ).
cnf(187,plain,
xsd_integer('SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[185,16]) ).
cnf(188,plain,
xsd_string('SKOLEMAAAV2'),
inference('REWRITE',[status(thm)],[186,187]) ).
cnf(189,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[15,188]),187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS162+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 7 20:19:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T20:19:16
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-07T20:19:16
% 30.16/30.34
% 30.16/30.34
% 30.16/30.34 #||
% 30.16/30.34 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.16/30.34 % SZS output start Refutation
% See solution above
% 30.19/30.35 ||#
% 30.19/30.35
% 30.19/30.35 ; Summary of computation:
% 30.19/30.35 ; 313953 formulas have been input or derived (from 119 formulas).
% 30.19/30.35 ; 189 ( 0%) were retained. Of these,
% 30.19/30.35 ; 151 (80%) were simplified or subsumed later,
% 30.19/30.35 ; 38 (20%) are still being kept.
% 30.19/30.35 ;
% 30.19/30.35 ; Run time in seconds excluding printing time:
% 30.19/30.35 ; 0.005 0% Read assertion file (1 call)
% 30.19/30.35 ; 0.002 0% Assert (20 calls)
% 30.19/30.35 ; 0.395 1% Process new row (174,934 calls)
% 30.19/30.35 ; 23.088 77% Resolution (236 calls)
% 30.19/30.35 ; 0.001 0% Paramodulation (118 calls)
% 30.19/30.35 ; 0.000 0% Factoring (57 calls)
% 30.19/30.35 ; 0.098 0% Condensing (256 calls)
% 30.19/30.35 ; 0.005 0% Forward subsumption (256 calls)
% 30.19/30.35 ; 0.004 0% Backward subsumption (142 calls)
% 30.19/30.35 ; 0.001 0% Clause clause subsumption (245 calls)
% 30.19/30.35 ; 5.808 19% Forward simplification (150,101 calls)
% 30.19/30.35 ; 0.003 0% Backward simplification (169 calls)
% 30.19/30.35 ; 0.001 0% Ordering (528 calls)
% 30.19/30.35 ; 0.001 0% Sortal reasoning (32 calls)
% 30.19/30.35 ; 0.000 0% Purity testing (1 call)
% 30.19/30.35 ; 0.463 2% Other
% 30.19/30.35 ; 29.875 Total
% 30.19/30.35 ; 29.891 Real time
% 30.19/30.35 ;
% 30.19/30.35 ; Term-hash-array has 85 terms in all.
% 30.19/30.35 ; Feature-vector-row-index has 17 entries (81 at peak, 142 added, 125 deleted).
% 30.19/30.35 ; Feature-vector-row-index has 32 nodes (262 at peak, 667 added, 635 deleted).
% 30.19/30.35 ; Retrieved 301 possibly forward subsuming rows in 256 calls.
% 30.19/30.35 ; Retrieved 101 possibly backward subsumed rows in 142 calls.
% 30.19/30.35 ; Path-index has 51 entries (89 at peak, 115 added, 64 deleted).
% 30.19/30.35 ; Path-index has 56 nodes (77 at peak, 86 added, 30 deleted).
% 30.19/30.35 ; Trie-index has 51 entries (89 at peak, 115 added, 64 deleted).
% 30.19/30.35 ; Trie-index has 52 nodes (83 at peak, 111 added, 59 deleted).
% 30.19/30.35 ; Retrieved 311,310 generalization terms in 801,835 calls.
% 30.19/30.35 ; Retrieved 28 instance terms in 26 calls.
% 30.19/30.35 ; Retrieved 412,527 unifiable terms in 52,366 calls.
% 30.19/30.35 ;
% 30.19/30.35 ; The agenda of rows to process has 1 entry:
% 30.19/30.35 ; 1 with value 4
% 30.19/30.35 ; The agenda of rows to give has 2 entries:
% 30.19/30.35 ; 1 with value (4 4) 1 with value (4 20)
% 30.19/30.35 Evaluation took:
% 30.19/30.35 29.891 seconds of real time
% 30.19/30.35 29.233664 seconds of user run time
% 30.19/30.35 0.658197 seconds of system run time
% 30.19/30.35 [Run times include 0.759 seconds GC run time.]
% 30.19/30.35 0 calls to %EVAL
% 30.19/30.35 0 page faults and
% 30.19/30.35 1,906,083,384 bytes consed.
% 30.19/30.35 :PROOF-FOUND
% 30.19/30.35 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T20:19:46
% 30.19/30.35 :PROOF-FOUND
% 30.19/30.35 *
%------------------------------------------------------------------------------