%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS150+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 : n008.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 11:41:46 AM UTC 2026
% Result : Theorem 2.83s 1.28s
% Output : Refutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 19
% Syntax : Number of formulae : 112 ( 26 unt; 0 def)
% Number of atoms : 480 ( 0 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 696 ( 328 ~; 302 |; 49 &)
% ( 10 <=>; 6 =>; 0 <=; 1 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 53 ( 45 !; 8 ?)
% 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(f4,axiom,
! [X0] :
( cC12(X0)
<=> ( ~ cC2(X0)
& ~ cC10(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,axiom,
! [X0] :
( cC14(X0)
<=> ? [X1] :
( rR1(X0,X1)
& cC12(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f6,axiom,
! [X0] :
( cC16(X0)
<=> ( cC14(X0)
& cC8(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,axiom,
! [X0] :
( cC18(X0)
<=> ( cTOP(X0)
& cC16(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f9,axiom,
! [X0] :
( cC6(X0)
<=> ( ~ cC2(X0)
& ~ cC4(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f10,axiom,
! [X0] :
( cC8(X0)
<=> ? [X1] :
( rR1(X0,X1)
& cC6(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f12,axiom,
cTOP(iV16560),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f14,axiom,
cowlThing(iV16560),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f15,axiom,
rR1(iV16560,iV16562),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f16,axiom,
rR1(iV16560,iV16561),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
fof(f17,axiom,
~ cC4(iV16561),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
fof(f18,axiom,
cowlThing(iV16561),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f20,axiom,
~ cC2(iV16561),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f21,axiom,
~ cC10(iV16562),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(f22,axiom,
~ cC2(iV16562),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
fof(f23,axiom,
cowlThing(iV16562),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
fof(f25,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cC18(iV16560)
& cC16(iV16560)
& cowlThing(iV16560)
& cC14(iV16560)
& cC8(iV16560)
& cowlThing(iV16561)
& cC6(iV16561)
& cowlThing(iV16562)
& cC12(iV16562) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f26,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cC18(iV16560)
& cC16(iV16560)
& cowlThing(iV16560)
& cC14(iV16560)
& cC8(iV16560)
& cowlThing(iV16561)
& cC6(iV16561)
& cowlThing(iV16562)
& cC12(iV16562) ),
inference(negated_conjecture,[status(cth)],[f25]) ).
fof(f27,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC18(iV16560)
& cC16(iV16560)
& cowlThing(iV16560)
& cC14(iV16560)
& cC8(iV16560)
& cowlThing(iV16561)
& cC6(iV16561)
& cowlThing(iV16562)
& cC12(iV16562) ),
inference(rectify,[],[f26]) ).
fof(f28,plain,
! [X0] :
( ( cTOP(X0)
& cC16(X0) )
=> cC18(X0) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f29,plain,
! [X0] :
( ( cC14(X0)
& cC8(X0) )
=> cC16(X0) ),
inference(unused_predicate_definition_removal,[],[f6]) ).
fof(f30,plain,
! [X0] :
( ? [X1] :
( rR1(X0,X1)
& cC12(X1) )
=> cC14(X0) ),
inference(unused_predicate_definition_removal,[],[f5]) ).
fof(f31,plain,
! [X0] :
( ( ~ cC2(X0)
& ~ cC10(X0) )
=> cC12(X0) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f32,plain,
! [X0] :
( ? [X1] :
( rR1(X0,X1)
& cC6(X1) )
=> cC8(X0) ),
inference(unused_predicate_definition_removal,[],[f10]) ).
fof(f33,plain,
! [X0] :
( ( ~ cC2(X0)
& ~ cC4(X0) )
=> cC6(X0) ),
inference(unused_predicate_definition_removal,[],[f9]) ).
fof(f34,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16562)
| ~ cC12(iV16562) ),
inference(ennf_transformation,[],[f27]) ).
fof(f37,plain,
! [X0] :
( cC14(X0)
| ! [X1] :
( ~ rR1(X0,X1)
| ~ cC12(X1) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f38,plain,
! [X0] :
( cC12(X0)
| cC2(X0)
| cC10(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f39,plain,
! [X0] :
( cC12(X0)
| cC2(X0)
| cC10(X0) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
! [X0] :
( cC16(X0)
| ~ cC14(X0)
| ~ cC8(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f41,plain,
! [X0] :
( cC16(X0)
| ~ cC14(X0)
| ~ cC8(X0) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
! [X0] :
( cC18(X0)
| ~ cTOP(X0)
| ~ cC16(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f43,plain,
! [X0] :
( cC18(X0)
| ~ cTOP(X0)
| ~ cC16(X0) ),
inference(flattening,[],[f42]) ).
fof(f44,plain,
! [X0] :
( cC8(X0)
| ! [X1] :
( ~ rR1(X0,X1)
| ~ cC6(X1) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f45,plain,
! [X0] :
( cC6(X0)
| cC2(X0)
| cC4(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f46,plain,
! [X0] :
( cC6(X0)
| cC2(X0)
| cC4(X0) ),
inference(flattening,[],[f45]) ).
fof(f47,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16562)
| ~ cC12(iV16562) ),
inference(nnf_transformation,[],[f34]) ).
fof(f48,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ( ( xsd_integer(sK1)
| ~ xsd_string(sK1) )
& ( ~ xsd_integer(sK1)
| xsd_string(sK1) ) )
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16562)
| ~ cC12(iV16562) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f47]) ).
fof(f49,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f56,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16562)
| ~ cC12(iV16562) ),
inference(cnf_transformation,[],[f48]) ).
fof(f57,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16562)
| ~ cC12(iV16562) ),
inference(cnf_transformation,[],[f48]) ).
fof(f58,plain,
rR1(iV16560,iV16561),
inference(cnf_transformation,[],[f16]) ).
fof(f59,plain,
rR1(iV16560,iV16562),
inference(cnf_transformation,[],[f15]) ).
fof(f60,plain,
cowlThing(iV16562),
inference(cnf_transformation,[],[f23]) ).
fof(f61,plain,
cowlThing(iV16561),
inference(cnf_transformation,[],[f18]) ).
fof(f62,plain,
cowlThing(iV16560),
inference(cnf_transformation,[],[f14]) ).
fof(f64,plain,
~ cC2(iV16562),
inference(cnf_transformation,[],[f22]) ).
fof(f65,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f66,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f67,plain,
~ cC2(iV16561),
inference(cnf_transformation,[],[f20]) ).
fof(f69,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f70,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f71,plain,
! [X0,X1] :
( ~ rR1(X0,X1)
| cC14(X0)
| ~ cC12(X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f72,plain,
! [X0] :
( cC12(X0)
| cC2(X0)
| cC10(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f73,plain,
! [X0] :
( cC16(X0)
| ~ cC14(X0)
| ~ cC8(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f74,plain,
! [X0] :
( cC18(X0)
| ~ cTOP(X0)
| ~ cC16(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f75,plain,
! [X0,X1] :
( ~ rR1(X0,X1)
| cC8(X0)
| ~ cC6(X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f76,plain,
! [X0] :
( cC6(X0)
| cC2(X0)
| cC4(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f77,plain,
~ cC10(iV16562),
inference(cnf_transformation,[],[f21]) ).
fof(f81,plain,
cTOP(iV16560),
inference(cnf_transformation,[],[f12]) ).
fof(f82,plain,
~ cC4(iV16561),
inference(cnf_transformation,[],[f17]) ).
fof(f86,plain,
( cowlNothing(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16562)
| ~ cC12(iV16562) ),
inference(forward_subsumption_resolution,[],[f56,f66]) ).
fof(f87,plain,
( ~ xsd_integer(sK1)
| xsd_string(sK1)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16562)
| ~ cC12(iV16562) ),
inference(forward_subsumption_resolution,[],[f86,f65]) ).
fof(f88,plain,
( ~ xsd_integer(sK1)
| xsd_string(sK1)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16562)
| ~ cC12(iV16562) ),
inference(forward_subsumption_resolution,[],[f87,f62]) ).
fof(f89,plain,
( ~ xsd_integer(sK1)
| xsd_string(sK1)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC6(iV16561)
| ~ cowlThing(iV16562)
| ~ cC12(iV16562) ),
inference(forward_subsumption_resolution,[],[f88,f61]) ).
fof(f90,plain,
( xsd_string(sK1)
| ~ xsd_integer(sK1)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC6(iV16561)
| ~ cC12(iV16562) ),
inference(forward_subsumption_resolution,[],[f89,f60]) ).
fof(f91,plain,
( cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16562)
| ~ cC12(iV16562) ),
inference(forward_subsumption_resolution,[],[f57,f66]) ).
fof(f92,plain,
( xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16562)
| ~ cC12(iV16562) ),
inference(forward_subsumption_resolution,[],[f91,f65]) ).
fof(f93,plain,
( xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16562)
| ~ cC12(iV16562) ),
inference(forward_subsumption_resolution,[],[f92,f62]) ).
fof(f94,plain,
( xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC6(iV16561)
| ~ cowlThing(iV16562)
| ~ cC12(iV16562) ),
inference(forward_subsumption_resolution,[],[f93,f61]) ).
fof(f95,plain,
( xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC6(iV16561)
| ~ cC12(iV16562) ),
inference(forward_subsumption_resolution,[],[f94,f60]) ).
fof(f96,plain,
( ~ xsd_string(sK1)
| ~ xsd_string(sK1)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC6(iV16561)
| ~ cC12(iV16562) ),
inference(resolution,[],[f69,f95]) ).
fof(f97,plain,
( ~ cC6(iV16561)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ xsd_string(sK1)
| ~ cC12(iV16562) ),
inference(duplicate_literal_removal,[],[f96]) ).
fof(f99,plain,
( cC2(iV16561)
| cC4(iV16561)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ xsd_string(sK1)
| ~ cC12(iV16562) ),
inference(resolution,[],[f76,f97]) ).
fof(f100,plain,
( cC4(iV16561)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ xsd_string(sK1)
| ~ cC12(iV16562) ),
inference(forward_subsumption_resolution,[],[f99,f67]) ).
fof(f101,plain,
( ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ xsd_string(sK1)
| ~ cC12(iV16562) ),
inference(forward_subsumption_resolution,[],[f100,f82]) ).
fof(f102,plain,
( ~ cC18(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ xsd_string(sK1)
| ~ cC12(iV16562) ),
inference(forward_subsumption_resolution,[],[f101,f73]) ).
fof(f103,plain,
( ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ xsd_string(sK1)
| ~ cC12(iV16562)
| ~ cTOP(iV16560)
| ~ cC16(iV16560) ),
inference(resolution,[],[f102,f74]) ).
fof(f104,plain,
( ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ xsd_string(sK1)
| ~ cC12(iV16562)
| ~ cC16(iV16560) ),
inference(forward_subsumption_resolution,[],[f103,f81]) ).
fof(f105,plain,
( ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ xsd_string(sK1)
| ~ cC12(iV16562) ),
inference(forward_subsumption_resolution,[],[f104,f73]) ).
fof(f113,plain,
( cC14(iV16560)
| ~ cC12(iV16562) ),
inference(resolution,[],[f71,f59]) ).
fof(f116,plain,
( cC8(iV16560)
| ~ cC6(iV16561) ),
inference(resolution,[],[f75,f58]) ).
fof(f120,plain,
( ~ cC6(iV16561)
| ~ cC14(iV16560)
| ~ xsd_string(sK1)
| ~ cC12(iV16562) ),
inference(resolution,[],[f116,f105]) ).
fof(f121,plain,
( ~ cC6(iV16561)
| ~ xsd_string(sK1)
| ~ cC12(iV16562) ),
inference(forward_subsumption_resolution,[],[f120,f113]) ).
fof(f129,plain,
( ~ xsd_string(sK1)
| ~ cC12(iV16562)
| cC2(iV16561)
| cC4(iV16561) ),
inference(resolution,[],[f121,f76]) ).
fof(f130,plain,
( ~ xsd_string(sK1)
| ~ cC12(iV16562)
| cC4(iV16561) ),
inference(forward_subsumption_resolution,[],[f129,f67]) ).
fof(f131,plain,
( ~ cC12(iV16562)
| ~ xsd_string(sK1) ),
inference(forward_subsumption_resolution,[],[f130,f82]) ).
fof(f132,plain,
( ~ xsd_string(sK1)
| cC2(iV16562)
| cC10(iV16562) ),
inference(resolution,[],[f131,f72]) ).
fof(f133,plain,
( ~ xsd_string(sK1)
| cC10(iV16562) ),
inference(forward_subsumption_resolution,[],[f132,f64]) ).
fof(f134,plain,
~ xsd_string(sK1),
inference(forward_subsumption_resolution,[],[f133,f77]) ).
fof(f142,plain,
( ~ xsd_integer(sK1)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC6(iV16561)
| ~ cC12(iV16562) ),
inference(resolution,[],[f134,f90]) ).
fof(f143,plain,
( ~ xsd_integer(sK1)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC6(iV16561)
| ~ cC12(iV16562) ),
inference(forward_subsumption_resolution,[],[f142,f113]) ).
fof(f144,plain,
( ~ cC6(iV16561)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ xsd_integer(sK1)
| ~ cC12(iV16562) ),
inference(forward_subsumption_resolution,[],[f143,f116]) ).
fof(f145,plain,
( ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ xsd_integer(sK1)
| ~ cC12(iV16562)
| cC2(iV16561)
| cC4(iV16561) ),
inference(resolution,[],[f144,f76]) ).
fof(f146,plain,
( ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ xsd_integer(sK1)
| ~ cC12(iV16562)
| cC4(iV16561) ),
inference(forward_subsumption_resolution,[],[f145,f67]) ).
fof(f147,plain,
( ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ xsd_integer(sK1)
| ~ cC12(iV16562) ),
inference(forward_subsumption_resolution,[],[f146,f82]) ).
fof(f148,plain,
( ~ cC16(iV16560)
| ~ xsd_integer(sK1)
| ~ cC12(iV16562)
| ~ cTOP(iV16560)
| ~ cC16(iV16560) ),
inference(resolution,[],[f147,f74]) ).
fof(f149,plain,
( ~ cC16(iV16560)
| ~ xsd_integer(sK1)
| ~ cC12(iV16562)
| ~ cTOP(iV16560) ),
inference(duplicate_literal_removal,[],[f148]) ).
fof(f150,plain,
( ~ cC16(iV16560)
| ~ xsd_integer(sK1)
| ~ cC12(iV16562) ),
inference(forward_subsumption_resolution,[],[f149,f81]) ).
fof(f151,plain,
( ~ xsd_integer(sK1)
| ~ cC12(iV16562)
| ~ cC14(iV16560)
| ~ cC8(iV16560) ),
inference(resolution,[],[f150,f73]) ).
fof(f152,plain,
( ~ cC8(iV16560)
| ~ cC12(iV16562)
| ~ xsd_integer(sK1) ),
inference(forward_subsumption_resolution,[],[f151,f113]) ).
fof(f153,plain,
( ~ cC6(iV16561)
| ~ xsd_integer(sK1)
| ~ cC12(iV16562) ),
inference(resolution,[],[f152,f116]) ).
fof(f154,plain,
( ~ xsd_integer(sK1)
| ~ cC12(iV16562)
| cC2(iV16561)
| cC4(iV16561) ),
inference(resolution,[],[f153,f76]) ).
fof(f155,plain,
( ~ xsd_integer(sK1)
| ~ cC12(iV16562)
| cC4(iV16561) ),
inference(forward_subsumption_resolution,[],[f154,f67]) ).
fof(f156,plain,
( ~ cC12(iV16562)
| ~ xsd_integer(sK1) ),
inference(forward_subsumption_resolution,[],[f155,f82]) ).
fof(f157,plain,
( ~ xsd_integer(sK1)
| cC2(iV16562)
| cC10(iV16562) ),
inference(resolution,[],[f156,f72]) ).
fof(f158,plain,
( ~ xsd_integer(sK1)
| cC10(iV16562) ),
inference(forward_subsumption_resolution,[],[f157,f64]) ).
fof(f159,plain,
~ xsd_integer(sK1),
inference(forward_subsumption_resolution,[],[f158,f77]) ).
fof(f163,plain,
xsd_string(sK1),
inference(resolution,[],[f159,f70]) ).
fof(f164,plain,
$false,
inference(forward_subsumption_resolution,[],[f163,f134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS150+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n008.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 13:30:24 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 2.83/1.28 % (1227757)Detected formulas, will run a generic FOF schedule.
% 2.83/1.28 % (1227765)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1276998622:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.83/1.28 % (1227765)Refutation not found, incomplete strategy
% 2.83/1.28 % (1227765)------------------------------
% 2.83/1.28 % (1227765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.83/1.28 % (1227765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.28 % (1227765)CaDiCaL version: 2.1.3
% 2.83/1.28 % (1227765)Termination reason: Refutation not found, incomplete strategy
% 2.83/1.28 % (1227765)Time elapsed: 0.001 s
% 2.83/1.28 % (1227765)Peak memory usage: 87 MB
% 2.83/1.28 % (1227768)dis-21_1_sil=8000:lcm=predicate:random_seed=700576376: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)
% 2.83/1.28 % (1227764)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=2420962878:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.83/1.28 % (1227766)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1718965672:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.83/1.28 % (1227762)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=1978969639:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.83/1.28 % (1227763)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=1592003908:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.83/1.28 % (1227767)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3994210242:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.83/1.28 % (1227766)First to succeed.
% 2.83/1.28 % (1227767)Also succeeded, but the first one will report.
% 2.83/1.28 % (1227768)Also succeeded, but the first one will report.
% 2.83/1.28 % (1227766)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1227757"
% 2.83/1.28 % (1227765)------------------------------
% 2.83/1.28 % (1227765)------------------------------
% 2.83/1.28 % (1227776)lrs+10_1_sil=8000:sp=occurrence:random_seed=1202472308:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.83/1.28 % (1227776)Also succeeded, but the first one will report.
% 2.83/1.28 % (1227766)Refutation found. Thanks to Tanya!
% 2.83/1.28 % SZS status Theorem for theBenchmark
% 2.83/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.65/1.48 % (1227766)------------------------------
% 3.65/1.48 % (1227766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.48 % (1227766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.48 % (1227766)CaDiCaL version: 2.1.3
% 3.65/1.48 % (1227766)Termination reason: Refutation
% 3.65/1.48 % (1227766)Time elapsed: 0.004 s
% 3.65/1.48 % (1227766)Peak memory usage: 88 MB
% 3.65/1.48 % (1227766)Instructions burned: 5 (million)
% 3.65/1.48 % (1227766)------------------------------
% 3.65/1.48 % (1227766)------------------------------
% 3.65/1.48 % (1227757)Success in time 0.434 s
% 3.65/1.48 % Vampire exiting
%------------------------------------------------------------------------------