%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS154+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:41:47 AM UTC 2026
% Result : Theorem 1.80s 1.14s
% Output : Refutation 2.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 24
% Syntax : Number of formulae : 136 ( 32 unt; 0 def)
% Number of atoms : 592 ( 0 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 890 ( 434 ~; 382 |; 53 &)
% ( 12 <=>; 8 =>; 0 <=; 1 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 57 ( 53 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f2,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f16,axiom,
! [X0] :
( cC110(X0)
<=> ( cC102xcomp(X0)
& cC108xcomp(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
fof(f22,axiom,
! [X0] :
( cC114(X0)
<=> ( cC112xcomp(X0)
& cC96xcomp(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
fof(f23,axiom,
! [X0] :
( cC116(X0)
<=> ( cC114(X0)
& cC80(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
fof(f43,axiom,
! [X0] :
( cC136(X0)
<=> ( cC134xcomp(X0)
& cC116(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_42) ).
fof(f94,axiom,
! [X0] :
( cC56(X0)
<=> ( cC4(X0)
& cC10xcomp(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_93) ).
fof(f95,axiom,
! [X0] :
( cC58(X0)
<=> ( cC34(X0)
& cC56(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_94) ).
fof(f118,axiom,
! [X0] :
( cC80(X0)
<=> ( cC78xcomp(X0)
& cC76xcomp(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_117) ).
fof(f137,axiom,
! [X0] :
( cC94(X0)
<=> ( cC86xcomp(X0)
& cC92xcomp(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_136) ).
fof(f148,axiom,
cC102xcomp(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_147) ).
fof(f149,axiom,
cC108xcomp(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_148) ).
fof(f150,axiom,
cC4(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_149) ).
fof(f152,axiom,
cC112xcomp(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_151) ).
fof(f153,axiom,
cC76xcomp(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_152) ).
fof(f154,axiom,
cC96xcomp(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_153) ).
fof(f159,axiom,
cC78xcomp(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_158) ).
fof(f161,axiom,
cC134xcomp(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_160) ).
fof(f162,axiom,
cC86xcomp(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_161) ).
fof(f163,axiom,
cC34(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_162) ).
fof(f167,axiom,
cowlThing(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_166) ).
fof(f168,axiom,
cC10xcomp(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_167) ).
fof(f169,axiom,
cC92xcomp(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_168) ).
fof(f170,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cowlThing(iV822576)
& cC94(iV822576)
& cC80(iV822576)
& cC110(iV822576)
& cC136(iV822576)
& cC56(iV822576) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f171,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cowlThing(iV822576)
& cC94(iV822576)
& cC80(iV822576)
& cC110(iV822576)
& cC136(iV822576)
& cC56(iV822576) ),
inference(negated_conjecture,[status(cth)],[f170]) ).
fof(f172,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cowlThing(iV822576)
& cC94(iV822576)
& cC80(iV822576)
& cC110(iV822576)
& cC136(iV822576)
& cC56(iV822576) ),
inference(rectify,[],[f171]) ).
fof(f173,plain,
! [X0] :
( ( cC86xcomp(X0)
& cC92xcomp(X0) )
=> cC94(X0) ),
inference(unused_predicate_definition_removal,[],[f137]) ).
fof(f174,plain,
! [X0] :
( ( cC34(X0)
& cC56(X0) )
=> cC58(X0) ),
inference(unused_predicate_definition_removal,[],[f95]) ).
fof(f175,plain,
! [X0] :
( ( cC4(X0)
& cC10xcomp(X0) )
=> cC56(X0) ),
inference(unused_predicate_definition_removal,[],[f94]) ).
fof(f176,plain,
! [X0] :
( ( cC134xcomp(X0)
& cC116(X0) )
=> cC136(X0) ),
inference(unused_predicate_definition_removal,[],[f43]) ).
fof(f177,plain,
! [X0] :
( ( cC114(X0)
& cC80(X0) )
=> cC116(X0) ),
inference(unused_predicate_definition_removal,[],[f23]) ).
fof(f178,plain,
! [X0] :
( ( cC112xcomp(X0)
& cC96xcomp(X0) )
=> cC114(X0) ),
inference(unused_predicate_definition_removal,[],[f22]) ).
fof(f179,plain,
! [X0] :
( ( cC78xcomp(X0)
& cC76xcomp(X0) )
=> cC80(X0) ),
inference(unused_predicate_definition_removal,[],[f118]) ).
fof(f180,plain,
! [X0] :
( ( cC102xcomp(X0)
& cC108xcomp(X0) )
=> cC110(X0) ),
inference(unused_predicate_definition_removal,[],[f16]) ).
fof(f181,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cowlThing(iV822576)
| ~ cC94(iV822576)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ),
inference(ennf_transformation,[],[f172]) ).
fof(f182,plain,
! [X0] :
( cC110(X0)
| ~ cC102xcomp(X0)
| ~ cC108xcomp(X0) ),
inference(ennf_transformation,[],[f180]) ).
fof(f183,plain,
! [X0] :
( cC110(X0)
| ~ cC102xcomp(X0)
| ~ cC108xcomp(X0) ),
inference(flattening,[],[f182]) ).
fof(f184,plain,
! [X0] :
( cC116(X0)
| ~ cC114(X0)
| ~ cC80(X0) ),
inference(ennf_transformation,[],[f177]) ).
fof(f185,plain,
! [X0] :
( cC116(X0)
| ~ cC114(X0)
| ~ cC80(X0) ),
inference(flattening,[],[f184]) ).
fof(f186,plain,
! [X0] :
( cC114(X0)
| ~ cC112xcomp(X0)
| ~ cC96xcomp(X0) ),
inference(ennf_transformation,[],[f178]) ).
fof(f187,plain,
! [X0] :
( cC114(X0)
| ~ cC112xcomp(X0)
| ~ cC96xcomp(X0) ),
inference(flattening,[],[f186]) ).
fof(f188,plain,
! [X0] :
( cC136(X0)
| ~ cC134xcomp(X0)
| ~ cC116(X0) ),
inference(ennf_transformation,[],[f176]) ).
fof(f189,plain,
! [X0] :
( cC136(X0)
| ~ cC134xcomp(X0)
| ~ cC116(X0) ),
inference(flattening,[],[f188]) ).
fof(f190,plain,
! [X0] :
( cC80(X0)
| ~ cC78xcomp(X0)
| ~ cC76xcomp(X0) ),
inference(ennf_transformation,[],[f179]) ).
fof(f191,plain,
! [X0] :
( cC80(X0)
| ~ cC78xcomp(X0)
| ~ cC76xcomp(X0) ),
inference(flattening,[],[f190]) ).
fof(f192,plain,
! [X0] :
( cC58(X0)
| ~ cC34(X0)
| ~ cC56(X0) ),
inference(ennf_transformation,[],[f174]) ).
fof(f193,plain,
! [X0] :
( cC58(X0)
| ~ cC34(X0)
| ~ cC56(X0) ),
inference(flattening,[],[f192]) ).
fof(f194,plain,
! [X0] :
( cC56(X0)
| ~ cC4(X0)
| ~ cC10xcomp(X0) ),
inference(ennf_transformation,[],[f175]) ).
fof(f195,plain,
! [X0] :
( cC56(X0)
| ~ cC4(X0)
| ~ cC10xcomp(X0) ),
inference(flattening,[],[f194]) ).
fof(f196,plain,
! [X0] :
( cC94(X0)
| ~ cC86xcomp(X0)
| ~ cC92xcomp(X0) ),
inference(ennf_transformation,[],[f173]) ).
fof(f197,plain,
! [X0] :
( cC94(X0)
| ~ cC86xcomp(X0)
| ~ cC92xcomp(X0) ),
inference(flattening,[],[f196]) ).
fof(f198,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cowlThing(iV822576)
| ~ cC94(iV822576)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ),
inference(nnf_transformation,[],[f181]) ).
fof(f199,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ( ( xsd_integer(sK1)
| ~ xsd_string(sK1) )
& ( ~ xsd_integer(sK1)
| xsd_string(sK1) ) )
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cowlThing(iV822576)
| ~ cC94(iV822576)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f198]) ).
fof(f200,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f201,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cowlThing(iV822576)
| ~ cC94(iV822576)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ),
inference(cnf_transformation,[],[f199]) ).
fof(f202,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cowlThing(iV822576)
| ~ cC94(iV822576)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ),
inference(cnf_transformation,[],[f199]) ).
fof(f203,plain,
cowlThing(iV822576),
inference(cnf_transformation,[],[f167]) ).
fof(f204,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f205,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f206,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f207,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f208,plain,
! [X0] :
( cC110(X0)
| ~ cC102xcomp(X0)
| ~ cC108xcomp(X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f209,plain,
! [X0] :
( cC116(X0)
| ~ cC114(X0)
| ~ cC80(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f210,plain,
! [X0] :
( cC114(X0)
| ~ cC112xcomp(X0)
| ~ cC96xcomp(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f211,plain,
! [X0] :
( cC136(X0)
| ~ cC134xcomp(X0)
| ~ cC116(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f212,plain,
! [X0] :
( cC80(X0)
| ~ cC78xcomp(X0)
| ~ cC76xcomp(X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f213,plain,
! [X0] :
( cC58(X0)
| ~ cC34(X0)
| ~ cC56(X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f214,plain,
! [X0] :
( cC56(X0)
| ~ cC4(X0)
| ~ cC10xcomp(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f215,plain,
! [X0] :
( cC94(X0)
| ~ cC86xcomp(X0)
| ~ cC92xcomp(X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f216,plain,
cC102xcomp(iV822576),
inference(cnf_transformation,[],[f148]) ).
fof(f217,plain,
cC108xcomp(iV822576),
inference(cnf_transformation,[],[f149]) ).
fof(f218,plain,
cC112xcomp(iV822576),
inference(cnf_transformation,[],[f152]) ).
fof(f219,plain,
cC96xcomp(iV822576),
inference(cnf_transformation,[],[f154]) ).
fof(f220,plain,
cC134xcomp(iV822576),
inference(cnf_transformation,[],[f161]) ).
fof(f221,plain,
cC76xcomp(iV822576),
inference(cnf_transformation,[],[f153]) ).
fof(f222,plain,
cC78xcomp(iV822576),
inference(cnf_transformation,[],[f159]) ).
fof(f223,plain,
cC34(iV822576),
inference(cnf_transformation,[],[f163]) ).
fof(f224,plain,
cC10xcomp(iV822576),
inference(cnf_transformation,[],[f168]) ).
fof(f225,plain,
cC4(iV822576),
inference(cnf_transformation,[],[f150]) ).
fof(f226,plain,
cC86xcomp(iV822576),
inference(cnf_transformation,[],[f162]) ).
fof(f227,plain,
cC92xcomp(iV822576),
inference(cnf_transformation,[],[f169]) ).
fof(f228,plain,
( cowlNothing(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cowlThing(iV822576)
| ~ cC94(iV822576)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ),
inference(forward_subsumption_resolution,[],[f201,f205]) ).
fof(f229,plain,
( ~ xsd_integer(sK1)
| xsd_string(sK1)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cowlThing(iV822576)
| ~ cC94(iV822576)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ),
inference(forward_subsumption_resolution,[],[f228,f204]) ).
fof(f230,plain,
( xsd_string(sK1)
| ~ xsd_integer(sK1)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cC94(iV822576)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ),
inference(forward_subsumption_resolution,[],[f229,f203]) ).
fof(f231,plain,
( cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cowlThing(iV822576)
| ~ cC94(iV822576)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ),
inference(forward_subsumption_resolution,[],[f202,f205]) ).
fof(f232,plain,
( xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cowlThing(iV822576)
| ~ cC94(iV822576)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ),
inference(forward_subsumption_resolution,[],[f231,f204]) ).
fof(f233,plain,
( xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cC94(iV822576)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ),
inference(forward_subsumption_resolution,[],[f232,f203]) ).
fof(f234,plain,
( ~ xsd_string(sK1)
| ~ xsd_string(sK1)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cC94(iV822576)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ),
inference(resolution,[],[f206,f233]) ).
fof(f235,plain,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ xsd_string(sK1)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ),
inference(duplicate_literal_removal,[],[f234]) ).
fof(f237,plain,
( ~ cC86xcomp(iV822576)
| ~ cC92xcomp(iV822576)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ xsd_string(sK1)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ),
inference(resolution,[],[f215,f235]) ).
fof(f238,plain,
( ~ cC92xcomp(iV822576)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ xsd_string(sK1)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ),
inference(forward_subsumption_resolution,[],[f237,f226]) ).
fof(f239,plain,
( ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ xsd_string(sK1)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ),
inference(forward_subsumption_resolution,[],[f238,f227]) ).
fof(f240,plain,
( ~ cC58(iV822576)
| ~ cC114(iV822576)
| ~ xsd_string(sK1)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ),
inference(forward_subsumption_resolution,[],[f239,f209]) ).
fof(f241,plain,
( ~ cC114(iV822576)
| ~ xsd_string(sK1)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576)
| ~ cC34(iV822576)
| ~ cC56(iV822576) ),
inference(resolution,[],[f240,f213]) ).
fof(f242,plain,
( ~ cC114(iV822576)
| ~ xsd_string(sK1)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576)
| ~ cC34(iV822576) ),
inference(duplicate_literal_removal,[],[f241]) ).
fof(f243,plain,
( ~ cC56(iV822576)
| ~ xsd_string(sK1)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC114(iV822576) ),
inference(forward_subsumption_resolution,[],[f242,f223]) ).
fof(f244,plain,
( ~ xsd_string(sK1)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC114(iV822576)
| ~ cC4(iV822576)
| ~ cC10xcomp(iV822576) ),
inference(resolution,[],[f243,f214]) ).
fof(f245,plain,
( ~ xsd_string(sK1)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC114(iV822576)
| ~ cC10xcomp(iV822576) ),
inference(forward_subsumption_resolution,[],[f244,f225]) ).
fof(f246,plain,
( ~ cC136(iV822576)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ xsd_string(sK1)
| ~ cC114(iV822576) ),
inference(forward_subsumption_resolution,[],[f245,f224]) ).
fof(f247,plain,
( ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ xsd_string(sK1)
| ~ cC114(iV822576)
| ~ cC134xcomp(iV822576)
| ~ cC116(iV822576) ),
inference(resolution,[],[f246,f211]) ).
fof(f248,plain,
( ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ xsd_string(sK1)
| ~ cC114(iV822576)
| ~ cC116(iV822576) ),
inference(forward_subsumption_resolution,[],[f247,f220]) ).
fof(f249,plain,
( ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ xsd_string(sK1)
| ~ cC114(iV822576) ),
inference(forward_subsumption_resolution,[],[f248,f209]) ).
fof(f250,plain,
( ~ cC110(iV822576)
| ~ xsd_string(sK1)
| ~ cC114(iV822576)
| ~ cC78xcomp(iV822576)
| ~ cC76xcomp(iV822576) ),
inference(resolution,[],[f249,f212]) ).
fof(f251,plain,
( ~ cC110(iV822576)
| ~ xsd_string(sK1)
| ~ cC114(iV822576)
| ~ cC76xcomp(iV822576) ),
inference(forward_subsumption_resolution,[],[f250,f222]) ).
fof(f252,plain,
( ~ cC114(iV822576)
| ~ xsd_string(sK1)
| ~ cC110(iV822576) ),
inference(forward_subsumption_resolution,[],[f251,f221]) ).
fof(f253,plain,
( ~ xsd_string(sK1)
| ~ cC110(iV822576)
| ~ cC112xcomp(iV822576)
| ~ cC96xcomp(iV822576) ),
inference(resolution,[],[f252,f210]) ).
fof(f254,plain,
( ~ xsd_string(sK1)
| ~ cC110(iV822576)
| ~ cC96xcomp(iV822576) ),
inference(forward_subsumption_resolution,[],[f253,f218]) ).
fof(f255,plain,
( ~ cC110(iV822576)
| ~ xsd_string(sK1) ),
inference(forward_subsumption_resolution,[],[f254,f219]) ).
fof(f256,plain,
( ~ xsd_string(sK1)
| ~ cC102xcomp(iV822576)
| ~ cC108xcomp(iV822576) ),
inference(resolution,[],[f255,f208]) ).
fof(f257,plain,
( ~ xsd_string(sK1)
| ~ cC108xcomp(iV822576) ),
inference(forward_subsumption_resolution,[],[f256,f216]) ).
fof(f258,plain,
~ xsd_string(sK1),
inference(forward_subsumption_resolution,[],[f257,f217]) ).
fof(f259,plain,
( ~ xsd_integer(sK1)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cC94(iV822576)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ),
inference(resolution,[],[f258,f230]) ).
fof(f260,plain,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC114(iV822576)
| ~ xsd_integer(sK1)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ),
inference(forward_subsumption_resolution,[],[f259,f209]) ).
fof(f261,plain,
( ~ cC58(iV822576)
| ~ cC114(iV822576)
| ~ xsd_integer(sK1)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576)
| ~ cC86xcomp(iV822576)
| ~ cC92xcomp(iV822576) ),
inference(resolution,[],[f260,f215]) ).
fof(f262,plain,
( ~ cC58(iV822576)
| ~ cC114(iV822576)
| ~ xsd_integer(sK1)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576)
| ~ cC92xcomp(iV822576) ),
inference(forward_subsumption_resolution,[],[f261,f226]) ).
fof(f263,plain,
( ~ cC58(iV822576)
| ~ cC114(iV822576)
| ~ xsd_integer(sK1)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ),
inference(forward_subsumption_resolution,[],[f262,f227]) ).
fof(f264,plain,
( ~ cC114(iV822576)
| ~ xsd_integer(sK1)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576)
| ~ cC34(iV822576)
| ~ cC56(iV822576) ),
inference(resolution,[],[f263,f213]) ).
fof(f265,plain,
( ~ cC114(iV822576)
| ~ xsd_integer(sK1)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576)
| ~ cC34(iV822576) ),
inference(duplicate_literal_removal,[],[f264]) ).
fof(f266,plain,
( ~ cC56(iV822576)
| ~ xsd_integer(sK1)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC114(iV822576) ),
inference(forward_subsumption_resolution,[],[f265,f223]) ).
fof(f267,plain,
( ~ xsd_integer(sK1)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC114(iV822576)
| ~ cC4(iV822576)
| ~ cC10xcomp(iV822576) ),
inference(resolution,[],[f266,f214]) ).
fof(f268,plain,
( ~ xsd_integer(sK1)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC114(iV822576)
| ~ cC10xcomp(iV822576) ),
inference(forward_subsumption_resolution,[],[f267,f225]) ).
fof(f269,plain,
( ~ cC136(iV822576)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ xsd_integer(sK1)
| ~ cC114(iV822576) ),
inference(forward_subsumption_resolution,[],[f268,f224]) ).
fof(f270,plain,
( ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ xsd_integer(sK1)
| ~ cC114(iV822576)
| ~ cC134xcomp(iV822576)
| ~ cC116(iV822576) ),
inference(resolution,[],[f269,f211]) ).
fof(f271,plain,
( ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ xsd_integer(sK1)
| ~ cC114(iV822576)
| ~ cC116(iV822576) ),
inference(forward_subsumption_resolution,[],[f270,f220]) ).
fof(f272,plain,
( ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ xsd_integer(sK1)
| ~ cC114(iV822576) ),
inference(forward_subsumption_resolution,[],[f271,f209]) ).
fof(f273,plain,
( ~ cC110(iV822576)
| ~ xsd_integer(sK1)
| ~ cC114(iV822576)
| ~ cC78xcomp(iV822576)
| ~ cC76xcomp(iV822576) ),
inference(resolution,[],[f272,f212]) ).
fof(f274,plain,
( ~ cC110(iV822576)
| ~ xsd_integer(sK1)
| ~ cC114(iV822576)
| ~ cC76xcomp(iV822576) ),
inference(forward_subsumption_resolution,[],[f273,f222]) ).
fof(f275,plain,
( ~ cC114(iV822576)
| ~ xsd_integer(sK1)
| ~ cC110(iV822576) ),
inference(forward_subsumption_resolution,[],[f274,f221]) ).
fof(f276,plain,
( ~ xsd_integer(sK1)
| ~ cC110(iV822576)
| ~ cC112xcomp(iV822576)
| ~ cC96xcomp(iV822576) ),
inference(resolution,[],[f275,f210]) ).
fof(f277,plain,
( ~ xsd_integer(sK1)
| ~ cC110(iV822576)
| ~ cC96xcomp(iV822576) ),
inference(forward_subsumption_resolution,[],[f276,f218]) ).
fof(f278,plain,
( ~ cC110(iV822576)
| ~ xsd_integer(sK1) ),
inference(forward_subsumption_resolution,[],[f277,f219]) ).
fof(f279,plain,
( ~ xsd_integer(sK1)
| ~ cC102xcomp(iV822576)
| ~ cC108xcomp(iV822576) ),
inference(resolution,[],[f278,f208]) ).
fof(f280,plain,
( ~ xsd_integer(sK1)
| ~ cC108xcomp(iV822576) ),
inference(forward_subsumption_resolution,[],[f279,f216]) ).
fof(f281,plain,
~ xsd_integer(sK1),
inference(forward_subsumption_resolution,[],[f280,f217]) ).
fof(f283,plain,
xsd_string(sK1),
inference(resolution,[],[f281,f207]) ).
fof(f284,plain,
$false,
inference(forward_subsumption_resolution,[],[f283,f258]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS154+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n015.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 13:35:12 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.80/1.14 % (1678463)Detected formulas, will run a generic FOF schedule.
% 1.80/1.14 % (1678472)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1048832498:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.80/1.14 % (1678472)First to succeed.
% 1.80/1.14 % (1678472)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1678463"
% 1.80/1.14 % (1678469)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2056521841:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.80/1.14 % (1678471)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=399422548:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.80/1.14 % (1678474)dis-21_1_sil=8000:lcm=predicate:random_seed=2150502653:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.80/1.14 % (1678470)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=307220725:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.80/1.14 % (1678468)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=326789369:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.80/1.14 % (1678473)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3243279866:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.80/1.14 % (1678471)Refutation not found, incomplete strategy
% 1.80/1.14 % (1678471)------------------------------
% 1.80/1.14 % (1678471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.80/1.14 % (1678471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.80/1.14 % (1678471)CaDiCaL version: 2.1.3
% 1.80/1.14 % (1678471)Termination reason: Refutation not found, incomplete strategy
% 1.80/1.14 % (1678471)Time elapsed: 0.001 s
% 1.80/1.14 % (1678471)Peak memory usage: 87 MB
% 1.80/1.14 % (1678474)Also succeeded, but the first one will report.
% 1.80/1.14 % (1678473)Also succeeded, but the first one will report.
% 1.80/1.14 % (1678472)Refutation found. Thanks to Tanya!
% 1.80/1.14 % SZS status Theorem for theBenchmark
% 1.80/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 2.46/1.24 % (1678472)------------------------------
% 2.46/1.24 % (1678472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.46/1.24 % (1678472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/1.24 % (1678472)CaDiCaL version: 2.1.3
% 2.46/1.24 % (1678472)Termination reason: Refutation
% 2.46/1.24 % (1678472)Time elapsed: 0.002 s
% 2.46/1.24 % (1678472)Peak memory usage: 88 MB
% 2.46/1.24 % (1678472)Instructions burned: 6 (million)
% 2.46/1.24 % (1678472)------------------------------
% 2.46/1.24 % (1678472)------------------------------
% 2.46/1.24 % (1678463)Success in time 0.282 s
% 2.46/1.24 % Vampire exiting
%------------------------------------------------------------------------------