TSTP Solution File: KRS155+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS155+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 : n014.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 23:22:20 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 59
% Syntax : Number of formulae : 194 ( 56 unt; 0 def)
% Number of atoms : 669 ( 0 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 769 ( 294 ~; 291 |; 136 &)
% ( 35 <=>; 12 =>; 0 <=; 1 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 43 ( 42 usr; 20 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-1 aty)
% Number of variables : 154 ( 116 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1327,plain,
$false,
inference(avatar_sat_refutation,[],[f798,f799,f800,f801,f802,f804,f830,f1110,f1149,f1182,f1198,f1201,f1203,f1217,f1222,f1247,f1274,f1318,f1321,f1323,f1326]) ).
fof(f1326,plain,
( ~ spl69_3
| ~ spl69_4 ),
inference(avatar_contradiction_clause,[],[f1325]) ).
fof(f1325,plain,
( $false
| ~ spl69_3
| ~ spl69_4 ),
inference(subsumption_resolution,[],[f1324,f732]) ).
fof(f732,plain,
( xsd_string(sK0)
| ~ spl69_3 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f731,plain,
( spl69_3
<=> xsd_string(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_3])]) ).
fof(f1324,plain,
( ~ xsd_string(sK0)
| ~ spl69_4 ),
inference(resolution,[],[f737,f527]) ).
fof(f527,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,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/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f737,plain,
( xsd_integer(sK0)
| ~ spl69_4 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f735,plain,
( spl69_4
<=> xsd_integer(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_4])]) ).
fof(f1323,plain,
~ spl69_2,
inference(avatar_contradiction_clause,[],[f1322]) ).
fof(f1322,plain,
( $false
| ~ spl69_2 ),
inference(subsumption_resolution,[],[f729,f523]) ).
fof(f523,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f729,plain,
( cowlNothing(sK1)
| ~ spl69_2 ),
inference(avatar_component_clause,[],[f727]) ).
fof(f727,plain,
( spl69_2
<=> cowlNothing(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_2])]) ).
fof(f1321,plain,
( spl69_3
| spl69_4 ),
inference(avatar_contradiction_clause,[],[f1320]) ).
fof(f1320,plain,
( $false
| spl69_3
| spl69_4 ),
inference(subsumption_resolution,[],[f1319,f733]) ).
fof(f733,plain,
( ~ xsd_string(sK0)
| spl69_3 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f1319,plain,
( xsd_string(sK0)
| spl69_4 ),
inference(resolution,[],[f736,f528]) ).
fof(f528,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f736,plain,
( ~ xsd_integer(sK0)
| spl69_4 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f1318,plain,
spl69_5,
inference(avatar_split_clause,[],[f1315,f739]) ).
fof(f739,plain,
( spl69_5
<=> cC20(iV8467) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_5])]) ).
fof(f1315,plain,
cC20(iV8467),
inference(resolution,[],[f1134,f521]) ).
fof(f521,plain,
rR1(iV8467,iV8471),
inference(cnf_transformation,[],[f104]) ).
fof(f104,axiom,
rR1(iV8467,iV8471),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_103) ).
fof(f1134,plain,
! [X0] :
( ~ rR1(X0,iV8471)
| cC20(X0) ),
inference(resolution,[],[f706,f502]) ).
fof(f502,plain,
cC2xcomp(iV8471),
inference(cnf_transformation,[],[f120]) ).
fof(f120,axiom,
cC2xcomp(iV8471),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_119) ).
fof(f706,plain,
! [X0,X1] :
( ~ cC2xcomp(X1)
| cC20(X0)
| ~ rR1(X0,X1) ),
inference(cnf_transformation,[],[f461]) ).
fof(f461,plain,
! [X0] :
( ( cC20(X0)
| ! [X1] :
( ~ cC2xcomp(X1)
| ~ rR1(X0,X1) ) )
& ( ( cC2xcomp(sK61(X0))
& rR1(X0,sK61(X0)) )
| ~ cC20(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK61])],[f459,f460]) ).
fof(f460,plain,
! [X0] :
( ? [X2] :
( cC2xcomp(X2)
& rR1(X0,X2) )
=> ( cC2xcomp(sK61(X0))
& rR1(X0,sK61(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f459,plain,
! [X0] :
( ( cC20(X0)
| ! [X1] :
( ~ cC2xcomp(X1)
| ~ rR1(X0,X1) ) )
& ( ? [X2] :
( cC2xcomp(X2)
& rR1(X0,X2) )
| ~ cC20(X0) ) ),
inference(rectify,[],[f458]) ).
fof(f458,plain,
! [X0] :
( ( cC20(X0)
| ! [X1] :
( ~ cC2xcomp(X1)
| ~ rR1(X0,X1) ) )
& ( ? [X1] :
( cC2xcomp(X1)
& rR1(X0,X1) )
| ~ cC20(X0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( cC20(X0)
<=> ? [X1] :
( cC2xcomp(X1)
& rR1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f1274,plain,
spl69_14,
inference(avatar_split_clause,[],[f1271,f775]) ).
fof(f775,plain,
( spl69_14
<=> cC48(iV8467) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_14])]) ).
fof(f1271,plain,
cC48(iV8467),
inference(resolution,[],[f1117,f521]) ).
fof(f1117,plain,
! [X0] :
( ~ rR1(X0,iV8471)
| cC48(X0) ),
inference(resolution,[],[f703,f502]) ).
fof(f703,plain,
! [X0,X1] :
( ~ cC2xcomp(X1)
| cC48(X0)
| ~ rR1(X0,X1) ),
inference(cnf_transformation,[],[f457]) ).
fof(f457,plain,
! [X0] :
( ( cC48(X0)
| ! [X1] :
( ~ cC2xcomp(X1)
| ~ rR1(X0,X1) ) )
& ( ( cC2xcomp(sK60(X0))
& rR1(X0,sK60(X0)) )
| ~ cC48(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK60])],[f455,f456]) ).
fof(f456,plain,
! [X0] :
( ? [X2] :
( cC2xcomp(X2)
& rR1(X0,X2) )
=> ( cC2xcomp(sK60(X0))
& rR1(X0,sK60(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f455,plain,
! [X0] :
( ( cC48(X0)
| ! [X1] :
( ~ cC2xcomp(X1)
| ~ rR1(X0,X1) ) )
& ( ? [X2] :
( cC2xcomp(X2)
& rR1(X0,X2) )
| ~ cC48(X0) ) ),
inference(rectify,[],[f454]) ).
fof(f454,plain,
! [X0] :
( ( cC48(X0)
| ! [X1] :
( ~ cC2xcomp(X1)
| ~ rR1(X0,X1) ) )
& ( ? [X1] :
( cC2xcomp(X1)
& rR1(X0,X1) )
| ~ cC48(X0) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( cC48(X0)
<=> ? [X1] :
( cC2xcomp(X1)
& rR1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_44) ).
fof(f1247,plain,
( spl69_9
| ~ spl69_18 ),
inference(avatar_split_clause,[],[f1244,f791,f755]) ).
fof(f755,plain,
( spl69_9
<=> cC62(iV8467) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_9])]) ).
fof(f791,plain,
( spl69_18
<=> cC60(iV8472) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_18])]) ).
fof(f1244,plain,
( cC62(iV8467)
| ~ spl69_18 ),
inference(resolution,[],[f1223,f520]) ).
fof(f520,plain,
rR1(iV8467,iV8472),
inference(cnf_transformation,[],[f111]) ).
fof(f111,axiom,
rR1(iV8467,iV8472),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_110) ).
fof(f1223,plain,
( ! [X0] :
( ~ rR1(X0,iV8472)
| cC62(X0) )
| ~ spl69_18 ),
inference(resolution,[],[f792,f689]) ).
fof(f689,plain,
! [X0,X1] :
( ~ cC60(X1)
| cC62(X0)
| ~ rR1(X0,X1) ),
inference(cnf_transformation,[],[f441]) ).
fof(f441,plain,
! [X0] :
( ( cC62(X0)
| ! [X1] :
( ~ cC60(X1)
| ~ rR1(X0,X1) ) )
& ( ( cC60(sK56(X0))
& rR1(X0,sK56(X0)) )
| ~ cC62(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK56])],[f439,f440]) ).
fof(f440,plain,
! [X0] :
( ? [X2] :
( cC60(X2)
& rR1(X0,X2) )
=> ( cC60(sK56(X0))
& rR1(X0,sK56(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f439,plain,
! [X0] :
( ( cC62(X0)
| ! [X1] :
( ~ cC60(X1)
| ~ rR1(X0,X1) ) )
& ( ? [X2] :
( cC60(X2)
& rR1(X0,X2) )
| ~ cC62(X0) ) ),
inference(rectify,[],[f438]) ).
fof(f438,plain,
! [X0] :
( ( cC62(X0)
| ! [X1] :
( ~ cC60(X1)
| ~ rR1(X0,X1) ) )
& ( ? [X1] :
( cC60(X1)
& rR1(X0,X1) )
| ~ cC62(X0) ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,axiom,
! [X0] :
( cC62(X0)
<=> ? [X1] :
( cC60(X1)
& rR1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_62) ).
fof(f792,plain,
( cC60(iV8472)
| ~ spl69_18 ),
inference(avatar_component_clause,[],[f791]) ).
fof(f1222,plain,
( spl69_18
| ~ spl69_17 ),
inference(avatar_split_clause,[],[f1221,f787,f791]) ).
fof(f787,plain,
( spl69_17
<=> cC58(iV8472) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_17])]) ).
fof(f1221,plain,
( cC60(iV8472)
| ~ spl69_17 ),
inference(subsumption_resolution,[],[f1220,f501]) ).
fof(f501,plain,
cC2xcomp(iV8472),
inference(cnf_transformation,[],[f123]) ).
fof(f123,axiom,
cC2xcomp(iV8472),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_122) ).
fof(f1220,plain,
( cC60(iV8472)
| ~ cC2xcomp(iV8472)
| ~ spl69_17 ),
inference(resolution,[],[f788,f671]) ).
fof(f671,plain,
! [X0] :
( ~ cC58(X0)
| cC60(X0)
| ~ cC2xcomp(X0) ),
inference(cnf_transformation,[],[f409]) ).
fof(f409,plain,
! [X0] :
( ( cC60(X0)
| ~ cC58(X0)
| ~ cC2xcomp(X0) )
& ( ( cC58(X0)
& cC2xcomp(X0) )
| ~ cC60(X0) ) ),
inference(flattening,[],[f408]) ).
fof(f408,plain,
! [X0] :
( ( cC60(X0)
| ~ cC58(X0)
| ~ cC2xcomp(X0) )
& ( ( cC58(X0)
& cC2xcomp(X0) )
| ~ cC60(X0) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,axiom,
! [X0] :
( cC60(X0)
<=> ( cC58(X0)
& cC2xcomp(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).
fof(f788,plain,
( cC58(iV8472)
| ~ spl69_17 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f1217,plain,
spl69_17,
inference(avatar_split_clause,[],[f1216,f787]) ).
fof(f1216,plain,
cC58(iV8472),
inference(resolution,[],[f1047,f513]) ).
fof(f513,plain,
rR1(iV8472,iV8476),
inference(cnf_transformation,[],[f125]) ).
fof(f125,axiom,
rR1(iV8472,iV8476),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_124) ).
fof(f1047,plain,
! [X0] :
( ~ rR1(X0,iV8476)
| cC58(X0) ),
inference(resolution,[],[f699,f497]) ).
fof(f497,plain,
cC2(iV8476),
inference(cnf_transformation,[],[f133]) ).
fof(f133,axiom,
cC2(iV8476),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_132) ).
fof(f699,plain,
! [X0,X1] :
( ~ cC2(X1)
| cC58(X0)
| ~ rR1(X0,X1) ),
inference(cnf_transformation,[],[f453]) ).
fof(f453,plain,
! [X0] :
( ( cC58(X0)
| ! [X1] :
( ~ cC2(X1)
| ~ rR1(X0,X1) ) )
& ( ( cC2(sK59(X0))
& rR1(X0,sK59(X0)) )
| ~ cC58(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK59])],[f451,f452]) ).
fof(f452,plain,
! [X0] :
( ? [X2] :
( cC2(X2)
& rR1(X0,X2) )
=> ( cC2(sK59(X0))
& rR1(X0,sK59(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f451,plain,
! [X0] :
( ( cC58(X0)
| ! [X1] :
( ~ cC2(X1)
| ~ rR1(X0,X1) ) )
& ( ? [X2] :
( cC2(X2)
& rR1(X0,X2) )
| ~ cC58(X0) ) ),
inference(rectify,[],[f450]) ).
fof(f450,plain,
! [X0] :
( ( cC58(X0)
| ! [X1] :
( ~ cC2(X1)
| ~ rR1(X0,X1) ) )
& ( ? [X1] :
( cC2(X1)
& rR1(X0,X1) )
| ~ cC58(X0) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0] :
( cC58(X0)
<=> ? [X1] :
( cC2(X1)
& rR1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).
fof(f1203,plain,
spl69_11,
inference(avatar_split_clause,[],[f1202,f763]) ).
fof(f763,plain,
( spl69_11
<=> cC34(iV8467) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_11])]) ).
fof(f1202,plain,
cC34(iV8467),
inference(resolution,[],[f1040,f518]) ).
fof(f518,plain,
rR1(iV8467,iV8474),
inference(cnf_transformation,[],[f107]) ).
fof(f107,axiom,
rR1(iV8467,iV8474),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_106) ).
fof(f1040,plain,
! [X0] :
( ~ rR1(X0,iV8474)
| cC34(X0) ),
inference(resolution,[],[f696,f494]) ).
fof(f494,plain,
cC32xcomp(iV8474),
inference(cnf_transformation,[],[f128]) ).
fof(f128,axiom,
cC32xcomp(iV8474),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_127) ).
fof(f696,plain,
! [X0,X1] :
( ~ cC32xcomp(X1)
| cC34(X0)
| ~ rR1(X0,X1) ),
inference(cnf_transformation,[],[f449]) ).
fof(f449,plain,
! [X0] :
( ( cC34(X0)
| ! [X1] :
( ~ cC32xcomp(X1)
| ~ rR1(X0,X1) ) )
& ( ( cC32xcomp(sK58(X0))
& rR1(X0,sK58(X0)) )
| ~ cC34(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK58])],[f447,f448]) ).
fof(f448,plain,
! [X0] :
( ? [X2] :
( cC32xcomp(X2)
& rR1(X0,X2) )
=> ( cC32xcomp(sK58(X0))
& rR1(X0,sK58(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f447,plain,
! [X0] :
( ( cC34(X0)
| ! [X1] :
( ~ cC32xcomp(X1)
| ~ rR1(X0,X1) ) )
& ( ? [X2] :
( cC32xcomp(X2)
& rR1(X0,X2) )
| ~ cC34(X0) ) ),
inference(rectify,[],[f446]) ).
fof(f446,plain,
! [X0] :
( ( cC34(X0)
| ! [X1] :
( ~ cC32xcomp(X1)
| ~ rR1(X0,X1) ) )
& ( ? [X1] :
( cC32xcomp(X1)
& rR1(X0,X1) )
| ~ cC34(X0) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( cC34(X0)
<=> ? [X1] :
( cC32xcomp(X1)
& rR1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).
fof(f1201,plain,
( spl69_12
| ~ spl69_6
| ~ spl69_7 ),
inference(avatar_split_clause,[],[f1200,f747,f743,f767]) ).
fof(f767,plain,
( spl69_12
<=> cC10(iV8467) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_12])]) ).
fof(f743,plain,
( spl69_6
<=> cC4(iV8467) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_6])]) ).
fof(f747,plain,
( spl69_7
<=> cC8(iV8467) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_7])]) ).
fof(f1200,plain,
( cC10(iV8467)
| ~ spl69_6
| ~ spl69_7 ),
inference(subsumption_resolution,[],[f1199,f744]) ).
fof(f744,plain,
( cC4(iV8467)
| ~ spl69_6 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f1199,plain,
( cC10(iV8467)
| ~ cC4(iV8467)
| ~ spl69_7 ),
inference(resolution,[],[f748,f665]) ).
fof(f665,plain,
! [X0] :
( ~ cC8(X0)
| cC10(X0)
| ~ cC4(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0] :
( cC10(X0)
| ~ cC8(X0)
| ~ cC4(X0) ),
inference(flattening,[],[f186]) ).
fof(f186,plain,
! [X0] :
( cC10(X0)
| ~ cC8(X0)
| ~ cC4(X0) ),
inference(ennf_transformation,[],[f162]) ).
fof(f162,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/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f748,plain,
( cC8(iV8467)
| ~ spl69_7 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f1198,plain,
spl69_7,
inference(avatar_split_clause,[],[f1195,f747]) ).
fof(f1195,plain,
cC8(iV8467),
inference(resolution,[],[f1037,f519]) ).
fof(f519,plain,
rR1(iV8467,iV8469),
inference(cnf_transformation,[],[f106]) ).
fof(f106,axiom,
rR1(iV8467,iV8469),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_105) ).
fof(f1037,plain,
! [X0] :
( ~ rR1(X0,iV8469)
| cC8(X0) ),
inference(resolution,[],[f693,f495]) ).
fof(f495,plain,
cC6xcomp(iV8469),
inference(cnf_transformation,[],[f114]) ).
fof(f114,axiom,
cC6xcomp(iV8469),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_113) ).
fof(f693,plain,
! [X0,X1] :
( ~ cC6xcomp(X1)
| cC8(X0)
| ~ rR1(X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0] :
( cC8(X0)
| ! [X1] :
( ~ cC6xcomp(X1)
| ~ rR1(X0,X1) ) ),
inference(ennf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ? [X1] :
( cC6xcomp(X1)
& rR1(X0,X1) )
=> cC8(X0) ),
inference(unused_predicate_definition_removal,[],[f80]) ).
fof(f80,axiom,
! [X0] :
( cC8(X0)
<=> ? [X1] :
( cC6xcomp(X1)
& rR1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_79) ).
fof(f1182,plain,
spl69_10,
inference(avatar_split_clause,[],[f1181,f759]) ).
fof(f759,plain,
( spl69_10
<=> cC14(iV8467) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_10])]) ).
fof(f1181,plain,
cC14(iV8467),
inference(resolution,[],[f1033,f514]) ).
fof(f514,plain,
rR1(iV8467,iV8470),
inference(cnf_transformation,[],[f105]) ).
fof(f105,axiom,
rR1(iV8467,iV8470),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_104) ).
fof(f1033,plain,
! [X0] :
( ~ rR1(X0,iV8470)
| cC14(X0) ),
inference(resolution,[],[f692,f488]) ).
fof(f488,plain,
cTOP(iV8470),
inference(cnf_transformation,[],[f117]) ).
fof(f117,axiom,
cTOP(iV8470),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_116) ).
fof(f692,plain,
! [X0,X1] :
( ~ cTOP(X1)
| cC14(X0)
| ~ rR1(X0,X1) ),
inference(cnf_transformation,[],[f445]) ).
fof(f445,plain,
! [X0] :
( ( cC14(X0)
| ! [X1] :
( ~ cTOP(X1)
| ~ rR1(X0,X1) ) )
& ( ( cTOP(sK57(X0))
& rR1(X0,sK57(X0)) )
| ~ cC14(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK57])],[f443,f444]) ).
fof(f444,plain,
! [X0] :
( ? [X2] :
( cTOP(X2)
& rR1(X0,X2) )
=> ( cTOP(sK57(X0))
& rR1(X0,sK57(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f443,plain,
! [X0] :
( ( cC14(X0)
| ! [X1] :
( ~ cTOP(X1)
| ~ rR1(X0,X1) ) )
& ( ? [X2] :
( cTOP(X2)
& rR1(X0,X2) )
| ~ cC14(X0) ) ),
inference(rectify,[],[f442]) ).
fof(f442,plain,
! [X0] :
( ( cC14(X0)
| ! [X1] :
( ~ cTOP(X1)
| ~ rR1(X0,X1) ) )
& ( ? [X1] :
( cTOP(X1)
& rR1(X0,X1) )
| ~ cC14(X0) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( cC14(X0)
<=> ? [X1] :
( cTOP(X1)
& rR1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f1149,plain,
( spl69_8
| ~ spl69_16 ),
inference(avatar_split_clause,[],[f1148,f783,f751]) ).
fof(f751,plain,
( spl69_8
<=> cC82(iV8467) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_8])]) ).
fof(f783,plain,
( spl69_16
<=> cC80(iV8471) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_16])]) ).
fof(f1148,plain,
( cC82(iV8467)
| ~ spl69_16 ),
inference(resolution,[],[f1026,f521]) ).
fof(f1026,plain,
( ! [X0] :
( ~ rR1(X0,iV8471)
| cC82(X0) )
| ~ spl69_16 ),
inference(resolution,[],[f686,f784]) ).
fof(f784,plain,
( cC80(iV8471)
| ~ spl69_16 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f686,plain,
! [X0,X1] :
( ~ cC80(X1)
| cC82(X0)
| ~ rR1(X0,X1) ),
inference(cnf_transformation,[],[f437]) ).
fof(f437,plain,
! [X0] :
( ( cC82(X0)
| ! [X1] :
( ~ cC80(X1)
| ~ rR1(X0,X1) ) )
& ( ( cC80(sK55(X0))
& rR1(X0,sK55(X0)) )
| ~ cC82(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK55])],[f435,f436]) ).
fof(f436,plain,
! [X0] :
( ? [X2] :
( cC80(X2)
& rR1(X0,X2) )
=> ( cC80(sK55(X0))
& rR1(X0,sK55(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f435,plain,
! [X0] :
( ( cC82(X0)
| ! [X1] :
( ~ cC80(X1)
| ~ rR1(X0,X1) ) )
& ( ? [X2] :
( cC80(X2)
& rR1(X0,X2) )
| ~ cC82(X0) ) ),
inference(rectify,[],[f434]) ).
fof(f434,plain,
! [X0] :
( ( cC82(X0)
| ! [X1] :
( ~ cC80(X1)
| ~ rR1(X0,X1) ) )
& ( ? [X1] :
( cC80(X1)
& rR1(X0,X1) )
| ~ cC82(X0) ) ),
inference(nnf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( cC82(X0)
<=> ? [X1] :
( cC80(X1)
& rR1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_82) ).
fof(f1110,plain,
spl69_6,
inference(avatar_split_clause,[],[f1070,f743]) ).
fof(f1070,plain,
cC4(iV8467),
inference(subsumption_resolution,[],[f1060,f502]) ).
fof(f1060,plain,
( ~ cC2xcomp(iV8471)
| cC4(iV8467) ),
inference(resolution,[],[f700,f521]) ).
fof(f700,plain,
! [X0,X1] :
( ~ rR1(X0,X1)
| ~ cC2xcomp(X1)
| cC4(X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0] :
( cC4(X0)
| ! [X1] :
( ~ cC2xcomp(X1)
| ~ rR1(X0,X1) ) ),
inference(ennf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0] :
( ? [X1] :
( cC2xcomp(X1)
& rR1(X0,X1) )
=> cC4(X0) ),
inference(unused_predicate_definition_removal,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( cC4(X0)
<=> ? [X1] :
( cC2xcomp(X1)
& rR1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_35) ).
fof(f830,plain,
spl69_16,
inference(avatar_split_clause,[],[f829,f783]) ).
fof(f829,plain,
cC80(iV8471),
inference(subsumption_resolution,[],[f828,f502]) ).
fof(f828,plain,
( ~ cC2xcomp(iV8471)
| cC80(iV8471) ),
inference(resolution,[],[f668,f496]) ).
fof(f496,plain,
cC78xcomp(iV8471),
inference(cnf_transformation,[],[f119]) ).
fof(f119,axiom,
cC78xcomp(iV8471),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_118) ).
fof(f668,plain,
! [X0] :
( ~ cC78xcomp(X0)
| ~ cC2xcomp(X0)
| cC80(X0) ),
inference(cnf_transformation,[],[f407]) ).
fof(f407,plain,
! [X0] :
( ( cC80(X0)
| ~ cC2xcomp(X0)
| ~ cC78xcomp(X0) )
& ( ( cC2xcomp(X0)
& cC78xcomp(X0) )
| ~ cC80(X0) ) ),
inference(flattening,[],[f406]) ).
fof(f406,plain,
! [X0] :
( ( cC80(X0)
| ~ cC2xcomp(X0)
| ~ cC78xcomp(X0) )
& ( ( cC2xcomp(X0)
& cC78xcomp(X0) )
| ~ cC80(X0) ) ),
inference(nnf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( cC80(X0)
<=> ( cC2xcomp(X0)
& cC78xcomp(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_80) ).
fof(f804,plain,
spl69_1,
inference(avatar_contradiction_clause,[],[f803]) ).
fof(f803,plain,
( $false
| spl69_1 ),
inference(resolution,[],[f522,f725]) ).
fof(f725,plain,
( ~ cowlThing(sK1)
| spl69_1 ),
inference(avatar_component_clause,[],[f723]) ).
fof(f723,plain,
( spl69_1
<=> cowlThing(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_1])]) ).
fof(f522,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f802,plain,
spl69_13,
inference(avatar_split_clause,[],[f512,f771]) ).
fof(f771,plain,
( spl69_13
<=> cowlThing(iV8467) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_13])]) ).
fof(f512,plain,
cowlThing(iV8467),
inference(cnf_transformation,[],[f103]) ).
fof(f103,axiom,
cowlThing(iV8467),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_102) ).
fof(f801,plain,
spl69_15,
inference(avatar_split_clause,[],[f511,f779]) ).
fof(f779,plain,
( spl69_15
<=> cowlThing(iV8471) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_15])]) ).
fof(f511,plain,
cowlThing(iV8471),
inference(cnf_transformation,[],[f121]) ).
fof(f121,axiom,
cowlThing(iV8471),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_120) ).
fof(f800,plain,
spl69_19,
inference(avatar_split_clause,[],[f510,f795]) ).
fof(f795,plain,
( spl69_19
<=> cowlThing(iV8472) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_19])]) ).
fof(f510,plain,
cowlThing(iV8472),
inference(cnf_transformation,[],[f124]) ).
fof(f124,axiom,
cowlThing(iV8472),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_123) ).
fof(f799,plain,
( ~ spl69_1
| spl69_2
| spl69_3
| ~ spl69_4
| ~ spl69_5
| ~ spl69_6
| ~ spl69_7
| ~ spl69_8
| ~ spl69_9
| ~ spl69_10
| ~ spl69_11
| ~ spl69_12
| ~ spl69_13
| ~ spl69_14
| ~ spl69_15
| ~ spl69_16
| ~ spl69_17
| ~ spl69_18
| ~ spl69_19 ),
inference(avatar_split_clause,[],[f486,f795,f791,f787,f783,f779,f775,f771,f767,f763,f759,f755,f751,f747,f743,f739,f735,f731,f727,f723]) ).
fof(f486,plain,
( ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC48(iV8467)
| ~ cowlThing(iV8467)
| ~ cC10(iV8467)
| ~ cC34(iV8467)
| ~ cC14(iV8467)
| ~ cC62(iV8467)
| ~ cC82(iV8467)
| ~ cC8(iV8467)
| ~ cC4(iV8467)
| ~ cC20(iV8467)
| ~ xsd_integer(sK0)
| xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
( ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC48(iV8467)
| ~ cowlThing(iV8467)
| ~ cC10(iV8467)
| ~ cC34(iV8467)
| ~ cC14(iV8467)
| ~ cC62(iV8467)
| ~ cC82(iV8467)
| ~ cC8(iV8467)
| ~ cC4(iV8467)
| ~ cC20(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])],[f199,f201,f200]) ).
fof(f200,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(f201,plain,
( ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) )
=> ( cowlNothing(sK1)
| ~ cowlThing(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f199,plain,
( ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC48(iV8467)
| ~ cowlThing(iV8467)
| ~ cC10(iV8467)
| ~ cC34(iV8467)
| ~ cC14(iV8467)
| ~ cC62(iV8467)
| ~ cC82(iV8467)
| ~ cC8(iV8467)
| ~ cC4(iV8467)
| ~ cC20(iV8467)
| ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) ) ),
inference(nnf_transformation,[],[f170]) ).
fof(f170,plain,
( ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC48(iV8467)
| ~ cowlThing(iV8467)
| ~ cC10(iV8467)
| ~ cC34(iV8467)
| ~ cC14(iV8467)
| ~ cC62(iV8467)
| ~ cC82(iV8467)
| ~ cC8(iV8467)
| ~ cC4(iV8467)
| ~ cC20(iV8467)
| ? [X0] :
( xsd_string(X0)
<~> ~ xsd_integer(X0) )
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) ) ),
inference(ennf_transformation,[],[f137]) ).
fof(f137,plain,
~ ( cowlThing(iV8472)
& cC60(iV8472)
& cC58(iV8472)
& cC80(iV8471)
& cowlThing(iV8471)
& cC48(iV8467)
& cowlThing(iV8467)
& cC10(iV8467)
& cC34(iV8467)
& cC14(iV8467)
& cC62(iV8467)
& cC82(iV8467)
& cC8(iV8467)
& cC4(iV8467)
& cC20(iV8467)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
inference(rectify,[],[f136]) ).
fof(f136,negated_conjecture,
~ ( cowlThing(iV8472)
& cC60(iV8472)
& cC58(iV8472)
& cC80(iV8471)
& cowlThing(iV8471)
& cC48(iV8467)
& cowlThing(iV8467)
& cC10(iV8467)
& cC34(iV8467)
& cC14(iV8467)
& cC62(iV8467)
& cC82(iV8467)
& cC8(iV8467)
& cC4(iV8467)
& cC20(iV8467)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[],[f135]) ).
fof(f135,conjecture,
( cowlThing(iV8472)
& cC60(iV8472)
& cC58(iV8472)
& cC80(iV8471)
& cowlThing(iV8471)
& cC48(iV8467)
& cowlThing(iV8467)
& cC10(iV8467)
& cC34(iV8467)
& cC14(iV8467)
& cC62(iV8467)
& cC82(iV8467)
& cC8(iV8467)
& cC4(iV8467)
& cC20(iV8467)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f798,plain,
( ~ spl69_1
| spl69_2
| ~ spl69_3
| spl69_4
| ~ spl69_5
| ~ spl69_6
| ~ spl69_7
| ~ spl69_8
| ~ spl69_9
| ~ spl69_10
| ~ spl69_11
| ~ spl69_12
| ~ spl69_13
| ~ spl69_14
| ~ spl69_15
| ~ spl69_16
| ~ spl69_17
| ~ spl69_18
| ~ spl69_19 ),
inference(avatar_split_clause,[],[f487,f795,f791,f787,f783,f779,f775,f771,f767,f763,f759,f755,f751,f747,f743,f739,f735,f731,f727,f723]) ).
fof(f487,plain,
( ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC48(iV8467)
| ~ cowlThing(iV8467)
| ~ cC10(iV8467)
| ~ cC34(iV8467)
| ~ cC14(iV8467)
| ~ cC62(iV8467)
| ~ cC82(iV8467)
| ~ cC8(iV8467)
| ~ cC4(iV8467)
| ~ cC20(iV8467)
| xsd_integer(sK0)
| ~ xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f202]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KRS155+1 : TPTP v8.2.0. Released v3.1.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 22:22:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (25694)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (25695)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (25697)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)
% 0.14/0.38 % (25696)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (25698)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 % (25699)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (25700)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (25701)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)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.39 Detected maximum model sizes of [max,1,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.39 Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.39 Detected maximum model sizes of [max,1,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max]
% 0.14/0.39 TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.39 TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.39 TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.39 % (25700)First to succeed.
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 % (25700)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25694"
% 0.14/0.39 % (25700)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40 % (25700)------------------------------
% 0.14/0.40 % (25700)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.40 % (25700)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (25700)Memory used [KB]: 1298
% 0.14/0.40 % (25700)Time elapsed: 0.016 s
% 0.14/0.40 % (25700)Instructions burned: 25 (million)
% 0.14/0.40 % (25694)Success in time 0.036 s
%------------------------------------------------------------------------------