%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS147+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 11:42:23 AM UTC 2026
% Result : Theorem 0.10s 0.46s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 50
% Syntax : Number of formulae : 226 ( 74 unt; 19 def)
% Number of atoms : 723 ( 0 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 835 ( 338 ~; 342 |; 115 &)
% ( 35 <=>; 4 =>; 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 : 130 ( 0 sgn 102 !; 28 ?)
% 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(f3,axiom,
! [X0] :
( cC10(X0)
<=> ( cC4(X0)
& cC8(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f5,axiom,
! [X0] :
( cC14(X0)
<=> ? [X1] :
( rR1(X0,X1)
& cTOP(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f8,axiom,
! [X0] :
( cC20(X0)
<=> ? [X1] :
( rR1(X0,X1)
& ~ cC2(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f15,axiom,
! [X0] :
( cC34(X0)
<=> ? [X1] :
( rR1(X0,X1)
& ~ cC32(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f18,axiom,
! [X0] :
( cC4(X0)
<=> ? [X1] :
( rR1(X0,X1)
& ~ cC2(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f23,axiom,
! [X0] :
( cC48(X0)
<=> ? [X1] :
( rR1(X0,X1)
& ~ cC2(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
fof(f28,axiom,
! [X0] :
( cC58(X0)
<=> ? [X1] :
( rR1(X0,X1)
& cC2(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).
fof(f30,axiom,
! [X0] :
( cC60(X0)
<=> ( cC58(X0)
& ~ cC2(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).
fof(f31,axiom,
! [X0] :
( cC62(X0)
<=> ? [X1] :
( rR1(X0,X1)
& cC60(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).
fof(f40,axiom,
! [X0] :
( cC8(X0)
<=> ? [X1] :
( rR1(X0,X1)
& ~ cC6(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_39) ).
fof(f41,axiom,
! [X0] :
( cC80(X0)
<=> ( ~ cC2(X0)
& ~ cC78(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_40) ).
fof(f42,axiom,
! [X0] :
( cC82(X0)
<=> ? [X1] :
( rR1(X0,X1)
& cC80(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_41) ).
fof(f53,axiom,
cowlThing(iV8467),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_52) ).
fof(f56,axiom,
rR1(iV8467,iV8471),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_55) ).
fof(f59,axiom,
rR1(iV8467,iV8469),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_58) ).
fof(f61,axiom,
rR1(iV8467,iV8472),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_60) ).
fof(f62,axiom,
rR1(iV8467,iV8474),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).
fof(f63,axiom,
rR1(iV8467,iV8470),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_62) ).
fof(f66,axiom,
~ cC6(iV8469),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_65) ).
fof(f69,axiom,
cTOP(iV8470),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_68) ).
fof(f71,axiom,
~ cC2(iV8471),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_70) ).
fof(f72,axiom,
~ cC78(iV8471),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_71) ).
fof(f73,axiom,
cowlThing(iV8471),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_72) ).
fof(f75,axiom,
~ cC2(iV8472),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_74) ).
fof(f76,axiom,
cowlThing(iV8472),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_75) ).
fof(f77,axiom,
rR1(iV8472,iV8476),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_76) ).
fof(f81,axiom,
~ cC32(iV8474),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_80) ).
fof(f85,axiom,
cC2(iV8476),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_84) ).
fof(f87,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cC10(iV8467)
& cC48(iV8467)
& cC4(iV8467)
& cC82(iV8467)
& cC14(iV8467)
& cC8(iV8467)
& cC20(iV8467)
& cowlThing(iV8467)
& cC62(iV8467)
& cC34(iV8467)
& cowlThing(iV8471)
& cC80(iV8471)
& cC60(iV8472)
& cowlThing(iV8472)
& cC58(iV8472) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f88,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cC10(iV8467)
& cC48(iV8467)
& cC4(iV8467)
& cC82(iV8467)
& cC14(iV8467)
& cC8(iV8467)
& cC20(iV8467)
& cowlThing(iV8467)
& cC62(iV8467)
& cC34(iV8467)
& cowlThing(iV8471)
& cC80(iV8471)
& cC60(iV8472)
& cowlThing(iV8472)
& cC58(iV8472) ),
inference(negated_conjecture,[status(cth)],[f87]) ).
fof(f89,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC10(iV8467)
& cC48(iV8467)
& cC4(iV8467)
& cC82(iV8467)
& cC14(iV8467)
& cC8(iV8467)
& cC20(iV8467)
& cowlThing(iV8467)
& cC62(iV8467)
& cC34(iV8467)
& cowlThing(iV8471)
& cC80(iV8471)
& cC60(iV8472)
& cowlThing(iV8472)
& cC58(iV8472) ),
inference(rectify,[],[f88]) ).
fof(f106,plain,
! [X0] :
( ? [X1] :
( rR1(X0,X1)
& cTOP(X1) )
=> cC14(X0) ),
inference(unused_predicate_definition_removal,[],[f5]) ).
fof(f107,plain,
! [X0] :
( ( cC4(X0)
& cC8(X0) )
=> cC10(X0) ),
inference(unused_predicate_definition_removal,[],[f3]) ).
fof(f108,plain,
! [X0] :
( ? [X1] :
( rR1(X0,X1)
& ~ cC2(X1) )
=> cC4(X0) ),
inference(unused_predicate_definition_removal,[],[f18]) ).
fof(f109,plain,
! [X0] :
( ? [X1] :
( rR1(X0,X1)
& ~ cC6(X1) )
=> cC8(X0) ),
inference(unused_predicate_definition_removal,[],[f40]) ).
fof(f113,plain,
! [X0] :
( cC10(X0)
| ~ cC4(X0)
| ~ cC8(X0) ),
inference(ennf_transformation,[],[f107]) ).
fof(f114,plain,
! [X0] :
( cC10(X0)
| ~ cC4(X0)
| ~ cC8(X0) ),
inference(flattening,[],[f113]) ).
fof(f115,plain,
! [X0] :
( cC14(X0)
| ! [X1] :
( ~ rR1(X0,X1)
| ~ cTOP(X1) ) ),
inference(ennf_transformation,[],[f106]) ).
fof(f122,plain,
! [X0] :
( cC4(X0)
| ! [X1] :
( ~ rR1(X0,X1)
| cC2(X1) ) ),
inference(ennf_transformation,[],[f108]) ).
fof(f136,plain,
! [X0] :
( cC8(X0)
| ! [X1] :
( ~ rR1(X0,X1)
| cC6(X1) ) ),
inference(ennf_transformation,[],[f109]) ).
fof(f147,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ~ cC10(iV8467)
| ~ cC48(iV8467)
| ~ cC4(iV8467)
| ~ cC82(iV8467)
| ~ cC14(iV8467)
| ~ cC8(iV8467)
| ~ cC20(iV8467)
| ~ cowlThing(iV8467)
| ~ cC62(iV8467)
| ~ cC34(iV8467)
| ~ cowlThing(iV8471)
| ~ cC80(iV8471)
| ~ cC60(iV8472)
| ~ cowlThing(iV8472)
| ~ cC58(iV8472) ),
inference(ennf_transformation,[],[f89]) ).
fof(f148,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f149,plain,
! [X0] :
( ( cC20(X0)
| ! [X1] :
( ~ rR1(X0,X1)
| cC2(X1) ) )
& ( ? [X1] :
( rR1(X0,X1)
& ~ cC2(X1) )
| ~ cC20(X0) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f150,plain,
! [X0] :
( ( cC20(X0)
| ! [X1] :
( ~ rR1(X0,X1)
| cC2(X1) ) )
& ( ? [X2] :
( rR1(X0,X2)
& ~ cC2(X2) )
| ~ cC20(X0) ) ),
inference(rectify,[],[f149]) ).
fof(f151,plain,
! [X0] :
( ( cC20(X0)
| ! [X1] :
( ~ rR1(X0,X1)
| cC2(X1) ) )
& ( ( rR1(X0,sK0(X0))
& ~ cC2(sK0(X0)) )
| ~ cC20(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0))],[f150]) ).
fof(f155,plain,
! [X0] :
( ( cC34(X0)
| ! [X1] :
( ~ rR1(X0,X1)
| cC32(X1) ) )
& ( ? [X1] :
( rR1(X0,X1)
& ~ cC32(X1) )
| ~ cC34(X0) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f156,plain,
! [X0] :
( ( cC34(X0)
| ! [X1] :
( ~ rR1(X0,X1)
| cC32(X1) ) )
& ( ? [X2] :
( rR1(X0,X2)
& ~ cC32(X2) )
| ~ cC34(X0) ) ),
inference(rectify,[],[f155]) ).
fof(f157,plain,
! [X0] :
( ( cC34(X0)
| ! [X1] :
( ~ rR1(X0,X1)
| cC32(X1) ) )
& ( ( rR1(X0,sK2(X0))
& ~ cC32(sK2(X0)) )
| ~ cC34(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0))],[f156]) ).
fof(f159,plain,
! [X0] :
( ( cC48(X0)
| ! [X1] :
( ~ rR1(X0,X1)
| cC2(X1) ) )
& ( ? [X1] :
( rR1(X0,X1)
& ~ cC2(X1) )
| ~ cC48(X0) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f160,plain,
! [X0] :
( ( cC48(X0)
| ! [X1] :
( ~ rR1(X0,X1)
| cC2(X1) ) )
& ( ? [X2] :
( rR1(X0,X2)
& ~ cC2(X2) )
| ~ cC48(X0) ) ),
inference(rectify,[],[f159]) ).
fof(f161,plain,
! [X0] :
( ( cC48(X0)
| ! [X1] :
( ~ rR1(X0,X1)
| cC2(X1) ) )
& ( ( rR1(X0,sK4(X0))
& ~ cC2(sK4(X0)) )
| ~ cC48(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0))],[f160]) ).
fof(f163,plain,
! [X0] :
( ( cC58(X0)
| ! [X1] :
( ~ rR1(X0,X1)
| ~ cC2(X1) ) )
& ( ? [X1] :
( rR1(X0,X1)
& cC2(X1) )
| ~ cC58(X0) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f164,plain,
! [X0] :
( ( cC58(X0)
| ! [X1] :
( ~ rR1(X0,X1)
| ~ cC2(X1) ) )
& ( ? [X2] :
( rR1(X0,X2)
& cC2(X2) )
| ~ cC58(X0) ) ),
inference(rectify,[],[f163]) ).
fof(f165,plain,
! [X0] :
( ( cC58(X0)
| ! [X1] :
( ~ rR1(X0,X1)
| ~ cC2(X1) ) )
& ( ( rR1(X0,sK6(X0))
& cC2(sK6(X0)) )
| ~ cC58(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0))],[f164]) ).
fof(f169,plain,
! [X0] :
( ( cC60(X0)
| ~ cC58(X0)
| cC2(X0) )
& ( ( cC58(X0)
& ~ cC2(X0) )
| ~ cC60(X0) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f170,plain,
! [X0] :
( ( cC60(X0)
| ~ cC58(X0)
| cC2(X0) )
& ( ( cC58(X0)
& ~ cC2(X0) )
| ~ cC60(X0) ) ),
inference(flattening,[],[f169]) ).
fof(f171,plain,
! [X0] :
( ( cC62(X0)
| ! [X1] :
( ~ rR1(X0,X1)
| ~ cC60(X1) ) )
& ( ? [X1] :
( rR1(X0,X1)
& cC60(X1) )
| ~ cC62(X0) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f172,plain,
! [X0] :
( ( cC62(X0)
| ! [X1] :
( ~ rR1(X0,X1)
| ~ cC60(X1) ) )
& ( ? [X2] :
( rR1(X0,X2)
& cC60(X2) )
| ~ cC62(X0) ) ),
inference(rectify,[],[f171]) ).
fof(f173,plain,
! [X0] :
( ( cC62(X0)
| ! [X1] :
( ~ rR1(X0,X1)
| ~ cC60(X1) ) )
& ( ( rR1(X0,sK8(X0))
& cC60(sK8(X0)) )
| ~ cC62(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X2,sK8(X0))],[f172]) ).
fof(f177,plain,
! [X0] :
( ( cC80(X0)
| cC2(X0)
| cC78(X0) )
& ( ( ~ cC2(X0)
& ~ cC78(X0) )
| ~ cC80(X0) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f178,plain,
! [X0] :
( ( cC80(X0)
| cC2(X0)
| cC78(X0) )
& ( ( ~ cC2(X0)
& ~ cC78(X0) )
| ~ cC80(X0) ) ),
inference(flattening,[],[f177]) ).
fof(f179,plain,
! [X0] :
( ( cC82(X0)
| ! [X1] :
( ~ rR1(X0,X1)
| ~ cC80(X1) ) )
& ( ? [X1] :
( rR1(X0,X1)
& cC80(X1) )
| ~ cC82(X0) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f180,plain,
! [X0] :
( ( cC82(X0)
| ! [X1] :
( ~ rR1(X0,X1)
| ~ cC80(X1) ) )
& ( ? [X2] :
( rR1(X0,X2)
& cC80(X2) )
| ~ cC82(X0) ) ),
inference(rectify,[],[f179]) ).
fof(f181,plain,
! [X0] :
( ( cC82(X0)
| ! [X1] :
( ~ rR1(X0,X1)
| ~ cC80(X1) ) )
& ( ( rR1(X0,sK10(X0))
& cC80(sK10(X0)) )
| ~ cC82(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0))],[f180]) ).
fof(f183,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ~ cC10(iV8467)
| ~ cC48(iV8467)
| ~ cC4(iV8467)
| ~ cC82(iV8467)
| ~ cC14(iV8467)
| ~ cC8(iV8467)
| ~ cC20(iV8467)
| ~ cowlThing(iV8467)
| ~ cC62(iV8467)
| ~ cC34(iV8467)
| ~ cowlThing(iV8471)
| ~ cC80(iV8471)
| ~ cC60(iV8472)
| ~ cowlThing(iV8472)
| ~ cC58(iV8472) ),
inference(nnf_transformation,[],[f147]) ).
fof(f184,plain,
( ~ cowlThing(sK12)
| cowlNothing(sK12)
| ( ( xsd_integer(sK13)
| ~ xsd_string(sK13) )
& ( ~ xsd_integer(sK13)
| xsd_string(sK13) ) )
| ~ cC10(iV8467)
| ~ cC48(iV8467)
| ~ cC4(iV8467)
| ~ cC82(iV8467)
| ~ cC14(iV8467)
| ~ cC8(iV8467)
| ~ cC20(iV8467)
| ~ cowlThing(iV8467)
| ~ cC62(iV8467)
| ~ cC34(iV8467)
| ~ cowlThing(iV8471)
| ~ cC80(iV8471)
| ~ cC60(iV8472)
| ~ cowlThing(iV8472)
| ~ cC58(iV8472) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X0,sK12),skolemize(X1,sK13)],[f183]) ).
fof(f185,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f186,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f187,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f188,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f189,plain,
! [X0] :
( ~ cC8(X0)
| ~ cC4(X0)
| cC10(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f190,plain,
! [X0,X1] :
( ~ cTOP(X1)
| ~ rR1(X0,X1)
| cC14(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f193,plain,
! [X0,X1] :
( ~ rR1(X0,X1)
| cC20(X0)
| cC2(X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f202,plain,
! [X0,X1] :
( ~ rR1(X0,X1)
| cC34(X0)
| cC32(X1) ),
inference(cnf_transformation,[],[f157]) ).
fof(f206,plain,
! [X0,X1] :
( ~ rR1(X0,X1)
| cC4(X0)
| cC2(X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f211,plain,
! [X0,X1] :
( ~ rR1(X0,X1)
| cC48(X0)
| cC2(X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f217,plain,
! [X0,X1] :
( ~ cC2(X1)
| ~ rR1(X0,X1)
| cC58(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f223,plain,
! [X0] :
( ~ cC58(X0)
| cC60(X0)
| cC2(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f226,plain,
! [X0,X1] :
( ~ cC60(X1)
| ~ rR1(X0,X1)
| cC62(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f235,plain,
! [X0,X1] :
( ~ rR1(X0,X1)
| cC8(X0)
| cC6(X1) ),
inference(cnf_transformation,[],[f136]) ).
fof(f238,plain,
! [X0] :
( cC80(X0)
| cC2(X0)
| cC78(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f241,plain,
! [X0,X1] :
( ~ cC80(X1)
| ~ rR1(X0,X1)
| cC82(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f251,plain,
cowlThing(iV8467),
inference(cnf_transformation,[],[f53]) ).
fof(f254,plain,
rR1(iV8467,iV8471),
inference(cnf_transformation,[],[f56]) ).
fof(f257,plain,
rR1(iV8467,iV8469),
inference(cnf_transformation,[],[f59]) ).
fof(f259,plain,
rR1(iV8467,iV8472),
inference(cnf_transformation,[],[f61]) ).
fof(f260,plain,
rR1(iV8467,iV8474),
inference(cnf_transformation,[],[f62]) ).
fof(f261,plain,
rR1(iV8467,iV8470),
inference(cnf_transformation,[],[f63]) ).
fof(f264,plain,
~ cC6(iV8469),
inference(cnf_transformation,[],[f66]) ).
fof(f267,plain,
cTOP(iV8470),
inference(cnf_transformation,[],[f69]) ).
fof(f269,plain,
~ cC2(iV8471),
inference(cnf_transformation,[],[f71]) ).
fof(f270,plain,
~ cC78(iV8471),
inference(cnf_transformation,[],[f72]) ).
fof(f271,plain,
cowlThing(iV8471),
inference(cnf_transformation,[],[f73]) ).
fof(f273,plain,
~ cC2(iV8472),
inference(cnf_transformation,[],[f75]) ).
fof(f274,plain,
cowlThing(iV8472),
inference(cnf_transformation,[],[f76]) ).
fof(f275,plain,
rR1(iV8472,iV8476),
inference(cnf_transformation,[],[f77]) ).
fof(f279,plain,
~ cC32(iV8474),
inference(cnf_transformation,[],[f81]) ).
fof(f283,plain,
cC2(iV8476),
inference(cnf_transformation,[],[f85]) ).
fof(f285,plain,
( ~ cowlThing(sK12)
| cowlNothing(sK12)
| ~ xsd_integer(sK13)
| xsd_string(sK13)
| ~ cC10(iV8467)
| ~ cC48(iV8467)
| ~ cC4(iV8467)
| ~ cC82(iV8467)
| ~ cC14(iV8467)
| ~ cC8(iV8467)
| ~ cC20(iV8467)
| ~ cowlThing(iV8467)
| ~ cC62(iV8467)
| ~ cC34(iV8467)
| ~ cowlThing(iV8471)
| ~ cC80(iV8471)
| ~ cC60(iV8472)
| ~ cowlThing(iV8472)
| ~ cC58(iV8472) ),
inference(cnf_transformation,[],[f184]) ).
fof(f286,plain,
( ~ cowlThing(sK12)
| cowlNothing(sK12)
| xsd_integer(sK13)
| ~ xsd_string(sK13)
| ~ cC10(iV8467)
| ~ cC48(iV8467)
| ~ cC4(iV8467)
| ~ cC82(iV8467)
| ~ cC14(iV8467)
| ~ cC8(iV8467)
| ~ cC20(iV8467)
| ~ cowlThing(iV8467)
| ~ cC62(iV8467)
| ~ cC34(iV8467)
| ~ cowlThing(iV8471)
| ~ cC80(iV8471)
| ~ cC60(iV8472)
| ~ cowlThing(iV8472)
| ~ cC58(iV8472) ),
inference(cnf_transformation,[],[f184]) ).
fof(f288,definition,
( spl14_1
<=> cC58(iV8472) ),
introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition]) ).
fof(f289,plain,
( cC58(iV8472)
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f290,plain,
( ~ cC58(iV8472)
| spl14_1 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f292,definition,
( spl14_2
<=> cowlThing(iV8472) ),
introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition]) ).
fof(f296,definition,
( spl14_3
<=> cC60(iV8472) ),
introduced(definition,[new_symbols(definition,[spl14_3])],[avatar_definition]) ).
fof(f297,plain,
( cC60(iV8472)
| ~ spl14_3 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f298,plain,
( ~ cC60(iV8472)
| spl14_3 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f300,definition,
( spl14_4
<=> cC80(iV8471) ),
introduced(definition,[new_symbols(definition,[spl14_4])],[avatar_definition]) ).
fof(f301,plain,
( cC80(iV8471)
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f302,plain,
( ~ cC80(iV8471)
| spl14_4 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f304,definition,
( spl14_5
<=> cowlThing(iV8471) ),
introduced(definition,[new_symbols(definition,[spl14_5])],[avatar_definition]) ).
fof(f308,definition,
( spl14_6
<=> cC34(iV8467) ),
introduced(definition,[new_symbols(definition,[spl14_6])],[avatar_definition]) ).
fof(f312,definition,
( spl14_7
<=> cC62(iV8467) ),
introduced(definition,[new_symbols(definition,[spl14_7])],[avatar_definition]) ).
fof(f314,plain,
( ~ cC62(iV8467)
| spl14_7 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f316,definition,
( spl14_8
<=> cowlThing(iV8467) ),
introduced(definition,[new_symbols(definition,[spl14_8])],[avatar_definition]) ).
fof(f320,definition,
( spl14_9
<=> cC20(iV8467) ),
introduced(definition,[new_symbols(definition,[spl14_9])],[avatar_definition]) ).
fof(f324,definition,
( spl14_10
<=> cC8(iV8467) ),
introduced(definition,[new_symbols(definition,[spl14_10])],[avatar_definition]) ).
fof(f325,plain,
( cC8(iV8467)
| ~ spl14_10 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f328,definition,
( spl14_11
<=> cC14(iV8467) ),
introduced(definition,[new_symbols(definition,[spl14_11])],[avatar_definition]) ).
fof(f332,definition,
( spl14_12
<=> cC82(iV8467) ),
introduced(definition,[new_symbols(definition,[spl14_12])],[avatar_definition]) ).
fof(f334,plain,
( ~ cC82(iV8467)
| spl14_12 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f336,definition,
( spl14_13
<=> cC4(iV8467) ),
introduced(definition,[new_symbols(definition,[spl14_13])],[avatar_definition]) ).
fof(f337,plain,
( cC4(iV8467)
| ~ spl14_13 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f340,definition,
( spl14_14
<=> cC48(iV8467) ),
introduced(definition,[new_symbols(definition,[spl14_14])],[avatar_definition]) ).
fof(f342,plain,
( ~ cC48(iV8467)
| spl14_14 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f344,definition,
( spl14_15
<=> cC10(iV8467) ),
introduced(definition,[new_symbols(definition,[spl14_15])],[avatar_definition]) ).
fof(f348,definition,
( spl14_16
<=> xsd_string(sK13) ),
introduced(definition,[new_symbols(definition,[spl14_16])],[avatar_definition]) ).
fof(f349,plain,
( ~ xsd_string(sK13)
| spl14_16 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f350,plain,
( xsd_string(sK13)
| ~ spl14_16 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f352,definition,
( spl14_17
<=> xsd_integer(sK13) ),
introduced(definition,[new_symbols(definition,[spl14_17])],[avatar_definition]) ).
fof(f353,plain,
( xsd_integer(sK13)
| ~ spl14_17 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f354,plain,
( ~ xsd_integer(sK13)
| spl14_17 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f356,definition,
( spl14_18
<=> cowlNothing(sK12) ),
introduced(definition,[new_symbols(definition,[spl14_18])],[avatar_definition]) ).
fof(f358,plain,
( cowlNothing(sK12)
| ~ spl14_18 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f360,definition,
( spl14_19
<=> cowlThing(sK12) ),
introduced(definition,[new_symbols(definition,[spl14_19])],[avatar_definition]) ).
fof(f362,plain,
( ~ cowlThing(sK12)
| spl14_19 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f363,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,[],[f285,f360,f356,f352,f348,f344,f340,f336,f332,f328,f324,f320,f316,f312,f308,f304,f300,f296,f292,f288]) ).
fof(f364,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,[],[f286,f360,f356,f352,f348,f344,f340,f336,f332,f328,f324,f320,f316,f312,f308,f304,f300,f296,f292,f288]) ).
fof(f365,plain,
spl14_2,
inference(avatar_split_clause,[],[f274,f292]) ).
fof(f366,plain,
spl14_5,
inference(avatar_split_clause,[],[f271,f304]) ).
fof(f367,plain,
spl14_8,
inference(avatar_split_clause,[],[f251,f316]) ).
fof(f380,plain,
! [X0] :
( ~ rR1(X0,iV8470)
| cC14(X0) ),
inference(resolution,[],[f190,f267]) ).
fof(f381,plain,
cC14(iV8467),
inference(resolution,[],[f380,f261]) ).
fof(f382,plain,
spl14_11,
inference(avatar_split_clause,[],[f381,f328]) ).
fof(f388,plain,
( cC20(iV8467)
| cC2(iV8472) ),
inference(resolution,[],[f193,f259]) ).
fof(f404,plain,
cC20(iV8467),
inference(forward_subsumption_resolution,[],[f388,f273]) ).
fof(f415,plain,
spl14_9,
inference(avatar_split_clause,[],[f404,f320]) ).
fof(f458,plain,
( cC34(iV8467)
| cC32(iV8474) ),
inference(resolution,[],[f202,f260]) ).
fof(f487,plain,
cC34(iV8467),
inference(forward_subsumption_resolution,[],[f458,f279]) ).
fof(f513,plain,
spl14_6,
inference(avatar_split_clause,[],[f487,f308]) ).
fof(f595,plain,
( cC4(iV8467)
| cC2(iV8472) ),
inference(resolution,[],[f206,f259]) ).
fof(f605,plain,
cC4(iV8467),
inference(forward_subsumption_resolution,[],[f595,f273]) ).
fof(f612,plain,
spl14_13,
inference(avatar_split_clause,[],[f605,f336]) ).
fof(f614,plain,
( cC48(iV8467)
| cC2(iV8471) ),
inference(resolution,[],[f211,f254]) ).
fof(f631,plain,
! [X0] :
( ~ rR1(X0,iV8476)
| cC58(X0) ),
inference(resolution,[],[f217,f283]) ).
fof(f716,plain,
( cC8(iV8467)
| cC6(iV8469) ),
inference(resolution,[],[f235,f257]) ).
fof(f775,plain,
cC8(iV8467),
inference(forward_subsumption_resolution,[],[f716,f264]) ).
fof(f791,plain,
spl14_10,
inference(avatar_split_clause,[],[f775,f324]) ).
fof(f792,plain,
( ~ cC4(iV8467)
| cC10(iV8467)
| ~ spl14_10 ),
inference(resolution,[],[f325,f189]) ).
fof(f793,plain,
( cC10(iV8467)
| ~ spl14_10
| ~ spl14_13 ),
inference(forward_subsumption_resolution,[],[f792,f337]) ).
fof(f794,plain,
( spl14_15
| ~ spl14_10
| ~ spl14_13 ),
inference(avatar_split_clause,[],[f793,f336,f324,f344]) ).
fof(f810,plain,
cC58(iV8472),
inference(resolution,[],[f631,f275]) ).
fof(f811,plain,
( $false
| spl14_1 ),
inference(forward_subsumption_resolution,[],[f810,f290]) ).
fof(f812,plain,
spl14_1,
inference(avatar_contradiction_clause,[],[f811]) ).
fof(f813,plain,
( cC60(iV8472)
| cC2(iV8472)
| ~ spl14_1 ),
inference(resolution,[],[f289,f223]) ).
fof(f816,plain,
( cC2(iV8472)
| ~ spl14_1
| spl14_3 ),
inference(forward_subsumption_resolution,[],[f813,f298]) ).
fof(f817,plain,
( $false
| ~ spl14_1
| spl14_3 ),
inference(forward_subsumption_resolution,[],[f816,f273]) ).
fof(f818,plain,
( ~ spl14_1
| spl14_3 ),
inference(avatar_contradiction_clause,[],[f817]) ).
fof(f819,plain,
( ! [X0] :
( ~ rR1(X0,iV8472)
| cC62(X0) )
| ~ spl14_3 ),
inference(resolution,[],[f297,f226]) ).
fof(f822,plain,
( cC2(iV8471)
| cC78(iV8471)
| spl14_4 ),
inference(resolution,[],[f302,f238]) ).
fof(f823,plain,
( cC78(iV8471)
| spl14_4 ),
inference(forward_subsumption_resolution,[],[f822,f269]) ).
fof(f824,plain,
( $false
| spl14_4 ),
inference(forward_subsumption_resolution,[],[f823,f270]) ).
fof(f825,plain,
spl14_4,
inference(avatar_contradiction_clause,[],[f824]) ).
fof(f826,plain,
( ! [X0] :
( ~ rR1(X0,iV8471)
| cC82(X0) )
| ~ spl14_4 ),
inference(resolution,[],[f301,f241]) ).
fof(f857,plain,
( cC62(iV8467)
| ~ spl14_3 ),
inference(resolution,[],[f819,f259]) ).
fof(f858,plain,
( $false
| ~ spl14_3
| spl14_7 ),
inference(forward_subsumption_resolution,[],[f857,f314]) ).
fof(f859,plain,
( ~ spl14_3
| spl14_7 ),
inference(avatar_contradiction_clause,[],[f858]) ).
fof(f877,plain,
( cC82(iV8467)
| ~ spl14_4 ),
inference(resolution,[],[f826,f254]) ).
fof(f878,plain,
( $false
| ~ spl14_4
| spl14_12 ),
inference(forward_subsumption_resolution,[],[f877,f334]) ).
fof(f879,plain,
( ~ spl14_4
| spl14_12 ),
inference(avatar_contradiction_clause,[],[f878]) ).
fof(f880,plain,
( $false
| spl14_19 ),
inference(forward_subsumption_resolution,[],[f362,f186]) ).
fof(f881,plain,
spl14_19,
inference(avatar_contradiction_clause,[],[f880]) ).
fof(f884,plain,
( xsd_string(sK13)
| spl14_17 ),
inference(resolution,[],[f354,f188]) ).
fof(f885,plain,
( $false
| spl14_16
| spl14_17 ),
inference(forward_subsumption_resolution,[],[f884,f349]) ).
fof(f886,plain,
( spl14_16
| spl14_17 ),
inference(avatar_contradiction_clause,[],[f885]) ).
fof(f887,plain,
( $false
| ~ spl14_18 ),
inference(forward_subsumption_resolution,[],[f358,f185]) ).
fof(f888,plain,
~ spl14_18,
inference(avatar_contradiction_clause,[],[f887]) ).
fof(f889,plain,
( ~ xsd_string(sK13)
| ~ spl14_17 ),
inference(resolution,[],[f353,f187]) ).
fof(f890,plain,
( $false
| ~ spl14_16
| ~ spl14_17 ),
inference(forward_subsumption_resolution,[],[f889,f350]) ).
fof(f891,plain,
( ~ spl14_16
| ~ spl14_17 ),
inference(avatar_contradiction_clause,[],[f890]) ).
fof(f900,plain,
( cC2(iV8471)
| spl14_14 ),
inference(forward_subsumption_resolution,[],[f614,f342]) ).
fof(f917,plain,
( $false
| spl14_14 ),
inference(forward_subsumption_resolution,[],[f900,f269]) ).
fof(f918,plain,
spl14_14,
inference(avatar_contradiction_clause,[],[f917]) ).
cnf(s1,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(sat_conversion,[],[f363]) ).
cnf(s2,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(sat_conversion,[],[f364]) ).
cnf(s3,plain,
spl14_2,
inference(sat_conversion,[],[f365]) ).
cnf(s4,plain,
spl14_5,
inference(sat_conversion,[],[f366]) ).
cnf(s5,plain,
spl14_8,
inference(sat_conversion,[],[f367]) ).
cnf(s7,plain,
spl14_11,
inference(sat_conversion,[],[f382]) ).
cnf(s12,plain,
spl14_9,
inference(sat_conversion,[],[f415]) ).
cnf(s36,plain,
spl14_6,
inference(sat_conversion,[],[f513]) ).
cnf(s53,plain,
spl14_13,
inference(sat_conversion,[],[f612]) ).
cnf(s93,plain,
spl14_10,
inference(sat_conversion,[],[f791]) ).
cnf(s94,plain,
( ~ spl14_10
| ~ spl14_13
| spl14_15 ),
inference(sat_conversion,[],[f794]) ).
cnf(s95,plain,
spl14_1,
inference(sat_conversion,[],[f812]) ).
cnf(s96,plain,
( ~ spl14_1
| spl14_3 ),
inference(sat_conversion,[],[f818]) ).
cnf(s97,plain,
spl14_4,
inference(sat_conversion,[],[f825]) ).
cnf(s101,plain,
( ~ spl14_3
| spl14_7 ),
inference(sat_conversion,[],[f859]) ).
cnf(s102,plain,
( ~ spl14_4
| spl14_12 ),
inference(sat_conversion,[],[f879]) ).
cnf(s103,plain,
spl14_19,
inference(sat_conversion,[],[f881]) ).
cnf(s104,plain,
( spl14_16
| spl14_17 ),
inference(sat_conversion,[],[f886]) ).
cnf(s105,plain,
~ spl14_18,
inference(sat_conversion,[],[f888]) ).
cnf(s106,plain,
( ~ spl14_16
| ~ spl14_17 ),
inference(sat_conversion,[],[f891]) ).
cnf(s115,plain,
spl14_14,
inference(sat_conversion,[],[f918]) ).
cnf(s120,plain,
spl14_12,
inference(rat,[],[s102,s97]) ).
cnf(s121,plain,
spl14_3,
inference(rat,[],[s96,s95]) ).
cnf(s122,plain,
spl14_7,
inference(rat,[],[s101,s121]) ).
cnf(s123,plain,
spl14_15,
inference(rat,[],[s94,s93,s53]) ).
cnf(s125,plain,
( ~ spl14_16
| spl14_17 ),
inference(rat,[],[s2,s103,s105,s123,s115,s53,s120,s7,s93,s12,s5,s122,s36,s4,s97,s121,s3,s95]) ).
cnf(s126,plain,
( spl14_16
| ~ spl14_17 ),
inference(rat,[],[s1,s103,s105,s123,s115,s53,s120,s7,s93,s12,s5,s122,s36,s4,s97,s121,s3,s95]) ).
cnf(s127,plain,
spl14_16,
inference(rat,[],[s126,s104]) ).
cnf(s128,plain,
~ spl14_17,
inference(rat,[],[s106,s127]) ).
cnf(s129,plain,
$false,
inference(rat,[],[s125,s128,s127]) ).
fof(f926,plain,
$false,
inference(avatar_sat_refutation,[],[s129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS147+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 13:30:18 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.46 % (3100255)Will run a generic schedule for satisfiability detection.
% 0.10/0.46 % (3100264)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4124657876:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.46 % (3100260)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=311107365_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.46 % (3100262)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3775335957:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.46 % (3100266)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4132329502:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.46 % (3100263)dis+10_1_sil=32000:sp=arity:random_seed=2106725045:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.46 % (3100265)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3230555267:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.46 % (3100261)% WARNING: option uhcvi not known.
% 0.10/0.46 % TRYING [1]
% 0.10/0.46 % TRYING [2]
% 0.10/0.46 % TRYING [3]
% 0.10/0.46 % (3100265) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3100255-3100265"...
% 0.10/0.46 % TRYING [4]
% 0.10/0.46 % (3100261)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3142716017:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.46 % (3100263) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3100255-3100263"...
% 0.10/0.46 % (3100265)...printing done.
% 0.10/0.46 % TRYING [5]
% 0.10/0.46 % (3100265)Refutation found. Thanks to Tanya!
% 0.10/0.46 % SZS status Theorem for theBenchmark
% 0.10/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.46 % (3100265)------------------------------
% 0.10/0.46 % (3100265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.46 % (3100265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.46 % (3100265)CaDiCaL version: 2.1.3
% 0.10/0.46 % (3100265)Termination reason: Refutation
% 0.10/0.46 % (3100265)Time elapsed: 0.009 s
% 0.10/0.46 % (3100265)Peak memory usage: 12 MB
% 0.10/0.46 % (3100265)Instructions burned: 12 (million)
% 0.10/0.46 % (3100255)Success in time 0.044 s
% 0.10/0.46 % Vampire exiting
%------------------------------------------------------------------------------