TSTP Solution File: KRS147+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS147+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 : Mon May 20 23:22:18 EDT 2024
% Result : Theorem 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 58
% Syntax : Number of formulae : 190 ( 55 unt; 0 def)
% Number of atoms : 649 ( 0 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 752 ( 293 ~; 282 |; 129 &)
% ( 35 <=>; 12 =>; 0 <=; 1 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 42 ( 41 usr; 20 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-1 aty)
% Number of variables : 144 ( 108 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1108,plain,
$false,
inference(avatar_sat_refutation,[],[f377,f378,f379,f380,f381,f383,f555,f587,f695,f743,f791,f881,f959,f963,f1003,f1009,f1031,f1035,f1067,f1105,f1107]) ).
fof(f1107,plain,
~ spl14_2,
inference(avatar_contradiction_clause,[],[f1106]) ).
fof(f1106,plain,
( $false
| ~ spl14_2 ),
inference(subsumption_resolution,[],[f308,f236]) ).
fof(f236,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f308,plain,
( cowlNothing(sK1)
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f306,plain,
( spl14_2
<=> cowlNothing(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f1105,plain,
( ~ spl14_3
| ~ spl14_4 ),
inference(avatar_contradiction_clause,[],[f1104]) ).
fof(f1104,plain,
( $false
| ~ spl14_3
| ~ spl14_4 ),
inference(subsumption_resolution,[],[f1103,f311]) ).
fof(f311,plain,
( xsd_string(sK0)
| ~ spl14_3 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f310,plain,
( spl14_3
<=> xsd_string(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f1103,plain,
( ~ xsd_string(sK0)
| ~ spl14_4 ),
inference(resolution,[],[f316,f240]) ).
fof(f240,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f316,plain,
( xsd_integer(sK0)
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f314,plain,
( spl14_4
<=> xsd_integer(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
fof(f1067,plain,
spl14_14,
inference(avatar_split_clause,[],[f1066,f354]) ).
fof(f354,plain,
( spl14_14
<=> cC34(iV8467) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_14])]) ).
fof(f1066,plain,
cC34(iV8467),
inference(subsumption_resolution,[],[f605,f202]) ).
fof(f202,plain,
~ cC32(iV8474),
inference(cnf_transformation,[],[f81]) ).
fof(f81,axiom,
~ cC32(iV8474),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_80) ).
fof(f605,plain,
( cC32(iV8474)
| cC34(iV8467) ),
inference(resolution,[],[f274,f232]) ).
fof(f232,plain,
rR1(iV8467,iV8474),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
rR1(iV8467,iV8474),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_61) ).
fof(f274,plain,
! [X0,X1] :
( ~ rR1(X0,X1)
| cC32(X1)
| cC34(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ( cC34(X0)
| ! [X1] :
( cC32(X1)
| ~ rR1(X0,X1) ) )
& ( ( ~ cC32(sK5(X0))
& rR1(X0,sK5(X0)) )
| ~ cC34(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f164,f165]) ).
fof(f165,plain,
! [X0] :
( ? [X2] :
( ~ cC32(X2)
& rR1(X0,X2) )
=> ( ~ cC32(sK5(X0))
& rR1(X0,sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f164,plain,
! [X0] :
( ( cC34(X0)
| ! [X1] :
( cC32(X1)
| ~ rR1(X0,X1) ) )
& ( ? [X2] :
( ~ cC32(X2)
& rR1(X0,X2) )
| ~ cC34(X0) ) ),
inference(rectify,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ( cC34(X0)
| ! [X1] :
( cC32(X1)
| ~ rR1(X0,X1) ) )
& ( ? [X1] :
( ~ cC32(X1)
& rR1(X0,X1) )
| ~ cC34(X0) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( cC34(X0)
<=> ? [X1] :
( ~ cC32(X1)
& rR1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f1035,plain,
( spl14_3
| spl14_4 ),
inference(avatar_split_clause,[],[f1032,f314,f310]) ).
fof(f1032,plain,
( xsd_string(sK0)
| spl14_4 ),
inference(resolution,[],[f315,f241]) ).
fof(f241,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f315,plain,
( ~ xsd_integer(sK0)
| spl14_4 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f1031,plain,
( spl14_8
| ~ spl14_16 ),
inference(avatar_split_clause,[],[f1028,f362,f330]) ).
fof(f330,plain,
( spl14_8
<=> cC82(iV8467) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_8])]) ).
fof(f362,plain,
( spl14_16
<=> cC80(iV8471) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_16])]) ).
fof(f1028,plain,
( cC82(iV8467)
| ~ spl14_16 ),
inference(resolution,[],[f1010,f234]) ).
fof(f234,plain,
rR1(iV8467,iV8471),
inference(cnf_transformation,[],[f56]) ).
fof(f56,axiom,
rR1(iV8467,iV8471),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_55) ).
fof(f1010,plain,
( ! [X0] :
( ~ rR1(X0,iV8471)
| cC82(X0) )
| ~ spl14_16 ),
inference(resolution,[],[f363,f293]) ).
fof(f293,plain,
! [X0,X1] :
( ~ cC80(X1)
| cC82(X0)
| ~ rR1(X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0] :
( ( cC82(X0)
| ! [X1] :
( ~ cC80(X1)
| ~ rR1(X0,X1) ) )
& ( ( cC80(sK11(X0))
& rR1(X0,sK11(X0)) )
| ~ cC82(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f188,f189]) ).
fof(f189,plain,
! [X0] :
( ? [X2] :
( cC80(X2)
& rR1(X0,X2) )
=> ( cC80(sK11(X0))
& rR1(X0,sK11(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f188,plain,
! [X0] :
( ( cC82(X0)
| ! [X1] :
( ~ cC80(X1)
| ~ rR1(X0,X1) ) )
& ( ? [X2] :
( cC80(X2)
& rR1(X0,X2) )
| ~ cC82(X0) ) ),
inference(rectify,[],[f187]) ).
fof(f187,plain,
! [X0] :
( ( cC82(X0)
| ! [X1] :
( ~ cC80(X1)
| ~ rR1(X0,X1) ) )
& ( ? [X1] :
( cC80(X1)
& rR1(X0,X1) )
| ~ cC82(X0) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( cC82(X0)
<=> ? [X1] :
( cC80(X1)
& rR1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_41) ).
fof(f363,plain,
( cC80(iV8471)
| ~ spl14_16 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f1009,plain,
spl14_16,
inference(avatar_contradiction_clause,[],[f1008]) ).
fof(f1008,plain,
( $false
| spl14_16 ),
inference(subsumption_resolution,[],[f1007,f213]) ).
fof(f213,plain,
~ cC2(iV8471),
inference(cnf_transformation,[],[f71]) ).
fof(f71,axiom,
~ cC2(iV8471),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_70) ).
fof(f1007,plain,
( cC2(iV8471)
| spl14_16 ),
inference(subsumption_resolution,[],[f1006,f203]) ).
fof(f203,plain,
~ cC78(iV8471),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
~ cC78(iV8471),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_71) ).
fof(f1006,plain,
( cC78(iV8471)
| cC2(iV8471)
| spl14_16 ),
inference(resolution,[],[f364,f266]) ).
fof(f266,plain,
! [X0] :
( cC80(X0)
| cC78(X0)
| cC2(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ( cC80(X0)
| cC78(X0)
| cC2(X0) )
& ( ( ~ cC78(X0)
& ~ cC2(X0) )
| ~ cC80(X0) ) ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ( cC80(X0)
| cC78(X0)
| cC2(X0) )
& ( ( ~ cC78(X0)
& ~ cC2(X0) )
| ~ cC80(X0) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( cC80(X0)
<=> ( ~ cC78(X0)
& ~ cC2(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_40) ).
fof(f364,plain,
( ~ cC80(iV8471)
| spl14_16 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f1003,plain,
( spl14_13
| ~ spl14_17 ),
inference(avatar_split_clause,[],[f1000,f366,f350]) ).
fof(f350,plain,
( spl14_13
<=> cC62(iV8467) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_13])]) ).
fof(f366,plain,
( spl14_17
<=> cC60(iV8472) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_17])]) ).
fof(f1000,plain,
( cC62(iV8467)
| ~ spl14_17 ),
inference(resolution,[],[f964,f233]) ).
fof(f233,plain,
rR1(iV8467,iV8472),
inference(cnf_transformation,[],[f61]) ).
fof(f61,axiom,
rR1(iV8467,iV8472),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_60) ).
fof(f964,plain,
( ! [X0] :
( ~ rR1(X0,iV8472)
| cC62(X0) )
| ~ spl14_17 ),
inference(resolution,[],[f367,f290]) ).
fof(f290,plain,
! [X0,X1] :
( ~ cC60(X1)
| cC62(X0)
| ~ rR1(X0,X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0] :
( ( cC62(X0)
| ! [X1] :
( ~ cC60(X1)
| ~ rR1(X0,X1) ) )
& ( ( cC60(sK10(X0))
& rR1(X0,sK10(X0)) )
| ~ cC62(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f184,f185]) ).
fof(f185,plain,
! [X0] :
( ? [X2] :
( cC60(X2)
& rR1(X0,X2) )
=> ( cC60(sK10(X0))
& rR1(X0,sK10(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f184,plain,
! [X0] :
( ( cC62(X0)
| ! [X1] :
( ~ cC60(X1)
| ~ rR1(X0,X1) ) )
& ( ? [X2] :
( cC60(X2)
& rR1(X0,X2) )
| ~ cC62(X0) ) ),
inference(rectify,[],[f183]) ).
fof(f183,plain,
! [X0] :
( ( cC62(X0)
| ! [X1] :
( ~ cC60(X1)
| ~ rR1(X0,X1) ) )
& ( ? [X1] :
( cC60(X1)
& rR1(X0,X1) )
| ~ cC62(X0) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( cC62(X0)
<=> ? [X1] :
( cC60(X1)
& rR1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).
fof(f367,plain,
( cC60(iV8472)
| ~ spl14_17 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f963,plain,
( spl14_17
| ~ spl14_19 ),
inference(avatar_split_clause,[],[f962,f374,f366]) ).
fof(f374,plain,
( spl14_19
<=> cC58(iV8472) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_19])]) ).
fof(f962,plain,
( cC60(iV8472)
| ~ spl14_19 ),
inference(subsumption_resolution,[],[f961,f212]) ).
fof(f212,plain,
~ cC2(iV8472),
inference(cnf_transformation,[],[f75]) ).
fof(f75,axiom,
~ cC2(iV8472),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_74) ).
fof(f961,plain,
( cC2(iV8472)
| cC60(iV8472)
| ~ spl14_19 ),
inference(resolution,[],[f375,f269]) ).
fof(f269,plain,
! [X0] :
( ~ cC58(X0)
| cC2(X0)
| cC60(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0] :
( ( cC60(X0)
| cC2(X0)
| ~ cC58(X0) )
& ( ( ~ cC2(X0)
& cC58(X0) )
| ~ cC60(X0) ) ),
inference(flattening,[],[f161]) ).
fof(f161,plain,
! [X0] :
( ( cC60(X0)
| cC2(X0)
| ~ cC58(X0) )
& ( ( ~ cC2(X0)
& cC58(X0) )
| ~ cC60(X0) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( cC60(X0)
<=> ( ~ cC2(X0)
& cC58(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).
fof(f375,plain,
( cC58(iV8472)
| ~ spl14_19 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f959,plain,
spl14_19,
inference(avatar_split_clause,[],[f958,f374]) ).
fof(f958,plain,
cC58(iV8472),
inference(resolution,[],[f802,f226]) ).
fof(f226,plain,
rR1(iV8472,iV8476),
inference(cnf_transformation,[],[f77]) ).
fof(f77,axiom,
rR1(iV8472,iV8476),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_76) ).
fof(f802,plain,
! [X0] :
( ~ rR1(X0,iV8476)
| cC58(X0) ),
inference(resolution,[],[f297,f215]) ).
fof(f215,plain,
cC2(iV8476),
inference(cnf_transformation,[],[f85]) ).
fof(f85,axiom,
cC2(iV8476),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_84) ).
fof(f297,plain,
! [X0,X1] :
( ~ cC2(X1)
| cC58(X0)
| ~ rR1(X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0] :
( ( cC58(X0)
| ! [X1] :
( ~ cC2(X1)
| ~ rR1(X0,X1) ) )
& ( ( cC2(sK12(X0))
& rR1(X0,sK12(X0)) )
| ~ cC58(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f192,f193]) ).
fof(f193,plain,
! [X0] :
( ? [X2] :
( cC2(X2)
& rR1(X0,X2) )
=> ( cC2(sK12(X0))
& rR1(X0,sK12(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f192,plain,
! [X0] :
( ( cC58(X0)
| ! [X1] :
( ~ cC2(X1)
| ~ rR1(X0,X1) ) )
& ( ? [X2] :
( cC2(X2)
& rR1(X0,X2) )
| ~ cC58(X0) ) ),
inference(rectify,[],[f191]) ).
fof(f191,plain,
! [X0] :
( ( cC58(X0)
| ! [X1] :
( ~ cC2(X1)
| ~ rR1(X0,X1) ) )
& ( ? [X1] :
( cC2(X1)
& rR1(X0,X1) )
| ~ cC58(X0) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( cC58(X0)
<=> ? [X1] :
( cC2(X1)
& rR1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).
fof(f881,plain,
spl14_9,
inference(avatar_split_clause,[],[f878,f334]) ).
fof(f334,plain,
( spl14_9
<=> cC14(iV8467) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_9])]) ).
fof(f878,plain,
cC14(iV8467),
inference(resolution,[],[f800,f230]) ).
fof(f230,plain,
rR1(iV8467,iV8470),
inference(cnf_transformation,[],[f63]) ).
fof(f63,axiom,
rR1(iV8467,iV8470),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_62) ).
fof(f800,plain,
! [X0] :
( ~ rR1(X0,iV8470)
| cC14(X0) ),
inference(resolution,[],[f294,f214]) ).
fof(f214,plain,
cTOP(iV8470),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
cTOP(iV8470),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_68) ).
fof(f294,plain,
! [X0,X1] :
( ~ cTOP(X1)
| cC14(X0)
| ~ rR1(X0,X1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0] :
( cC14(X0)
| ! [X1] :
( ~ cTOP(X1)
| ~ rR1(X0,X1) ) ),
inference(ennf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ? [X1] :
( cTOP(X1)
& rR1(X0,X1) )
=> cC14(X0) ),
inference(unused_predicate_definition_removal,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( cC14(X0)
<=> ? [X1] :
( cTOP(X1)
& rR1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f791,plain,
spl14_11,
inference(avatar_split_clause,[],[f790,f342]) ).
fof(f342,plain,
( spl14_11
<=> cC20(iV8467) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_11])]) ).
fof(f790,plain,
cC20(iV8467),
inference(subsumption_resolution,[],[f777,f212]) ).
fof(f777,plain,
( cC2(iV8472)
| cC20(iV8467) ),
inference(resolution,[],[f287,f233]) ).
fof(f287,plain,
! [X0,X1] :
( ~ rR1(X0,X1)
| cC2(X1)
| cC20(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0] :
( ( cC20(X0)
| ! [X1] :
( cC2(X1)
| ~ rR1(X0,X1) ) )
& ( ( ~ cC2(sK9(X0))
& rR1(X0,sK9(X0)) )
| ~ cC20(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f180,f181]) ).
fof(f181,plain,
! [X0] :
( ? [X2] :
( ~ cC2(X2)
& rR1(X0,X2) )
=> ( ~ cC2(sK9(X0))
& rR1(X0,sK9(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f180,plain,
! [X0] :
( ( cC20(X0)
| ! [X1] :
( cC2(X1)
| ~ rR1(X0,X1) ) )
& ( ? [X2] :
( ~ cC2(X2)
& rR1(X0,X2) )
| ~ cC20(X0) ) ),
inference(rectify,[],[f179]) ).
fof(f179,plain,
! [X0] :
( ( cC20(X0)
| ! [X1] :
( cC2(X1)
| ~ rR1(X0,X1) ) )
& ( ? [X1] :
( ~ cC2(X1)
& rR1(X0,X1) )
| ~ cC20(X0) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( cC20(X0)
<=> ? [X1] :
( ~ cC2(X1)
& rR1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f743,plain,
spl14_7,
inference(avatar_split_clause,[],[f712,f326]) ).
fof(f326,plain,
( spl14_7
<=> cC4(iV8467) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_7])]) ).
fof(f712,plain,
cC4(iV8467),
inference(subsumption_resolution,[],[f703,f213]) ).
fof(f703,plain,
( cC2(iV8471)
| cC4(iV8467) ),
inference(resolution,[],[f281,f234]) ).
fof(f281,plain,
! [X0,X1] :
( ~ rR1(X0,X1)
| cC2(X1)
| cC4(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( cC4(X0)
| ! [X1] :
( cC2(X1)
| ~ rR1(X0,X1) ) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ? [X1] :
( ~ cC2(X1)
& rR1(X0,X1) )
=> cC4(X0) ),
inference(unused_predicate_definition_removal,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( cC4(X0)
<=> ? [X1] :
( ~ cC2(X1)
& rR1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(f695,plain,
spl14_6,
inference(avatar_split_clause,[],[f662,f322]) ).
fof(f322,plain,
( spl14_6
<=> cC48(iV8467) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).
fof(f662,plain,
cC48(iV8467),
inference(subsumption_resolution,[],[f652,f213]) ).
fof(f652,plain,
( cC2(iV8471)
| cC48(iV8467) ),
inference(resolution,[],[f280,f234]) ).
fof(f280,plain,
! [X0,X1] :
( ~ rR1(X0,X1)
| cC2(X1)
| cC48(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0] :
( ( cC48(X0)
| ! [X1] :
( cC2(X1)
| ~ rR1(X0,X1) ) )
& ( ( ~ cC2(sK7(X0))
& rR1(X0,sK7(X0)) )
| ~ cC48(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f172,f173]) ).
fof(f173,plain,
! [X0] :
( ? [X2] :
( ~ cC2(X2)
& rR1(X0,X2) )
=> ( ~ cC2(sK7(X0))
& rR1(X0,sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
! [X0] :
( ( cC48(X0)
| ! [X1] :
( cC2(X1)
| ~ rR1(X0,X1) ) )
& ( ? [X2] :
( ~ cC2(X2)
& rR1(X0,X2) )
| ~ cC48(X0) ) ),
inference(rectify,[],[f171]) ).
fof(f171,plain,
! [X0] :
( ( cC48(X0)
| ! [X1] :
( cC2(X1)
| ~ rR1(X0,X1) ) )
& ( ? [X1] :
( ~ cC2(X1)
& rR1(X0,X1) )
| ~ cC48(X0) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( cC48(X0)
<=> ? [X1] :
( ~ cC2(X1)
& rR1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
fof(f587,plain,
( ~ spl14_7
| spl14_5
| ~ spl14_10 ),
inference(avatar_split_clause,[],[f586,f338,f318,f326]) ).
fof(f318,plain,
( spl14_5
<=> cC10(iV8467) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).
fof(f338,plain,
( spl14_10
<=> cC8(iV8467) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_10])]) ).
fof(f586,plain,
( cC10(iV8467)
| ~ cC4(iV8467)
| ~ spl14_10 ),
inference(resolution,[],[f339,f270]) ).
fof(f270,plain,
! [X0] :
( ~ cC8(X0)
| cC10(X0)
| ~ cC4(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0] :
( cC10(X0)
| ~ cC8(X0)
| ~ cC4(X0) ),
inference(flattening,[],[f143]) ).
fof(f143,plain,
! [X0] :
( cC10(X0)
| ~ cC8(X0)
| ~ cC4(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ( cC8(X0)
& cC4(X0) )
=> cC10(X0) ),
inference(unused_predicate_definition_removal,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( cC10(X0)
<=> ( cC8(X0)
& cC4(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f339,plain,
( cC8(iV8467)
| ~ spl14_10 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f555,plain,
spl14_10,
inference(avatar_split_clause,[],[f554,f338]) ).
fof(f554,plain,
cC8(iV8467),
inference(subsumption_resolution,[],[f523,f201]) ).
fof(f201,plain,
~ cC6(iV8469),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
~ cC6(iV8469),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_65) ).
fof(f523,plain,
( cC6(iV8469)
| cC8(iV8467) ),
inference(resolution,[],[f271,f231]) ).
fof(f231,plain,
rR1(iV8467,iV8469),
inference(cnf_transformation,[],[f59]) ).
fof(f59,axiom,
rR1(iV8467,iV8469),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_58) ).
fof(f271,plain,
! [X0,X1] :
( ~ rR1(X0,X1)
| cC6(X1)
| cC8(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( cC8(X0)
| ! [X1] :
( cC6(X1)
| ~ rR1(X0,X1) ) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ? [X1] :
( ~ cC6(X1)
& rR1(X0,X1) )
=> cC8(X0) ),
inference(unused_predicate_definition_removal,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( cC8(X0)
<=> ? [X1] :
( ~ cC6(X1)
& rR1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_39) ).
fof(f383,plain,
spl14_1,
inference(avatar_contradiction_clause,[],[f382]) ).
fof(f382,plain,
( $false
| spl14_1 ),
inference(resolution,[],[f235,f304]) ).
fof(f304,plain,
( ~ cowlThing(sK1)
| spl14_1 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f302,plain,
( spl14_1
<=> cowlThing(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f235,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f381,plain,
spl14_12,
inference(avatar_split_clause,[],[f225,f346]) ).
fof(f346,plain,
( spl14_12
<=> cowlThing(iV8467) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_12])]) ).
fof(f225,plain,
cowlThing(iV8467),
inference(cnf_transformation,[],[f53]) ).
fof(f53,axiom,
cowlThing(iV8467),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_52) ).
fof(f380,plain,
spl14_18,
inference(avatar_split_clause,[],[f224,f370]) ).
fof(f370,plain,
( spl14_18
<=> cowlThing(iV8472) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_18])]) ).
fof(f224,plain,
cowlThing(iV8472),
inference(cnf_transformation,[],[f76]) ).
fof(f76,axiom,
cowlThing(iV8472),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_75) ).
fof(f379,plain,
spl14_15,
inference(avatar_split_clause,[],[f223,f358]) ).
fof(f358,plain,
( spl14_15
<=> cowlThing(iV8471) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_15])]) ).
fof(f223,plain,
cowlThing(iV8471),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
cowlThing(iV8471),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_72) ).
fof(f378,plain,
( ~ spl14_1
| spl14_2
| spl14_3
| ~ spl14_4
| ~ spl14_5
| ~ spl14_6
| ~ spl14_7
| ~ spl14_8
| ~ spl14_9
| ~ spl14_10
| ~ spl14_11
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14
| ~ spl14_15
| ~ spl14_16
| ~ spl14_17
| ~ spl14_18
| ~ spl14_19 ),
inference(avatar_split_clause,[],[f199,f374,f370,f366,f362,f358,f354,f350,f346,f342,f338,f334,f330,f326,f322,f318,f314,f310,f306,f302]) ).
fof(f199,plain,
( ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ~ xsd_integer(sK0)
| xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ( ( xsd_integer(sK0)
| ~ xsd_string(sK0) )
& ( ~ xsd_integer(sK0)
| xsd_string(sK0) ) )
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f148,f150,f149]) ).
fof(f149,plain,
( ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
=> ( ( xsd_integer(sK0)
| ~ xsd_string(sK0) )
& ( ~ xsd_integer(sK0)
| xsd_string(sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
( ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) )
=> ( cowlNothing(sK1)
| ~ cowlThing(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
( ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) ) ),
inference(nnf_transformation,[],[f113]) ).
fof(f113,plain,
( ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ? [X0] :
( xsd_string(X0)
<~> ~ xsd_integer(X0) )
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) ) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,plain,
~ ( cC58(iV8472)
& cowlThing(iV8472)
& cC60(iV8472)
& cC80(iV8471)
& cowlThing(iV8471)
& cC34(iV8467)
& cC62(iV8467)
& cowlThing(iV8467)
& cC20(iV8467)
& cC8(iV8467)
& cC14(iV8467)
& cC82(iV8467)
& cC4(iV8467)
& cC48(iV8467)
& cC10(iV8467)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
inference(rectify,[],[f88]) ).
fof(f88,negated_conjecture,
~ ( cC58(iV8472)
& cowlThing(iV8472)
& cC60(iV8472)
& cC80(iV8471)
& cowlThing(iV8471)
& cC34(iV8467)
& cC62(iV8467)
& cowlThing(iV8467)
& cC20(iV8467)
& cC8(iV8467)
& cC14(iV8467)
& cC82(iV8467)
& cC4(iV8467)
& cC48(iV8467)
& cC10(iV8467)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[],[f87]) ).
fof(f87,conjecture,
( cC58(iV8472)
& cowlThing(iV8472)
& cC60(iV8472)
& cC80(iV8471)
& cowlThing(iV8471)
& cC34(iV8467)
& cC62(iV8467)
& cowlThing(iV8467)
& cC20(iV8467)
& cC8(iV8467)
& cC14(iV8467)
& cC82(iV8467)
& cC4(iV8467)
& cC48(iV8467)
& cC10(iV8467)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f377,plain,
( ~ spl14_1
| spl14_2
| ~ spl14_3
| spl14_4
| ~ spl14_5
| ~ spl14_6
| ~ spl14_7
| ~ spl14_8
| ~ spl14_9
| ~ spl14_10
| ~ spl14_11
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14
| ~ spl14_15
| ~ spl14_16
| ~ spl14_17
| ~ spl14_18
| ~ spl14_19 ),
inference(avatar_split_clause,[],[f200,f374,f370,f366,f362,f358,f354,f350,f346,f342,f338,f334,f330,f326,f322,f318,f314,f310,f306,f302]) ).
fof(f200,plain,
( ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| xsd_integer(sK0)
| ~ xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : KRS147+1 : TPTP v8.2.0. Released v3.1.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n027.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 : Sat May 18 22:13:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (26252)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (26254)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (26255)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.37 % (26257)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (26256)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37 % (26253)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (26258)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (26259)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 Detected minimum model sizes of [1,1]
% 0.15/0.38 Detected maximum model sizes of [max,1]
% 0.15/0.38 Detected minimum model sizes of [1,1]
% 0.15/0.38 Detected maximum model sizes of [max,1]
% 0.15/0.38 TRYING [1,1]
% 0.15/0.38 TRYING [1,1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2,1]
% 0.15/0.38 TRYING [2,1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3,1]
% 0.15/0.38 TRYING [3,1]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 % (26258)First to succeed.
% 0.15/0.38 TRYING [4]
% 0.15/0.38 % (26257)Also succeeded, but the first one will report.
% 0.15/0.38 % (26258)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26252"
% 0.15/0.38 TRYING [4,1]
% 0.15/0.38 TRYING [4,1]
% 0.15/0.38 TRYING [4]
% 0.15/0.39 % (26258)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Theorem for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (26258)------------------------------
% 0.15/0.39 % (26258)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (26258)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (26258)Memory used [KB]: 1093
% 0.15/0.39 % (26258)Time elapsed: 0.012 s
% 0.15/0.39 % (26258)Instructions burned: 18 (million)
% 0.15/0.39 % (26252)Success in time 0.019 s
%------------------------------------------------------------------------------