%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS162+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 : n009.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 11:42:25 AM UTC 2026
% Result : Theorem 0.10s 0.45s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 22
% Syntax : Number of formulae : 131 ( 3 unt; 2 def)
% Number of atoms : 584 ( 199 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 731 ( 278 ~; 281 |; 146 &)
% ( 4 <=>; 19 =>; 0 <=; 3 <~>)
% Maximal formula depth : 26 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 315 ( 247 !; 68 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ( X0 = X1
& cA(X0) )
=> cA(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cA_substitution_1) ).
fof(f2,axiom,
! [X0,X1] :
( ( X0 = X1
& cB(X0) )
=> cB(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cB_substitution_1) ).
fof(f3,axiom,
! [X0,X1] :
( ( X0 = X1
& cowlNothing(X0) )
=> cowlNothing(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlNothing_substitution_1) ).
fof(f4,axiom,
! [X0,X1] :
( ( X0 = X1
& cowlThing(X0) )
=> cowlThing(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlThing_substitution_1) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( X0 = X1
& rp(X0,X2) )
=> rp(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rp_substitution_1) ).
fof(f6,axiom,
! [X0,X1,X2] :
( ( X0 = X1
& rp(X2,X0) )
=> rp(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rp_substitution_2) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( X0 = X1
& rq(X0,X2) )
=> rq(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rq_substitution_1) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( X0 = X1
& rq(X2,X0) )
=> rq(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rq_substitution_2) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ( X0 = X1
& rr(X0,X2) )
=> rr(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr_substitution_1) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( X0 = X1
& rr(X2,X0) )
=> rr(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr_substitution_2) ).
fof(f11,axiom,
! [X0,X1] :
( ( X0 = X1
& xsd_integer(X0) )
=> xsd_integer(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xsd_integer_substitution_1) ).
fof(f12,axiom,
! [X0,X1] :
( ( X0 = X1
& xsd_string(X0) )
=> xsd_string(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xsd_string_substitution_1) ).
fof(f13,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f14,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f15,axiom,
! [X0,X1] :
( rp(X0,X1)
=> cA(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f16,axiom,
! [X0,X1] :
( rq(X0,X1)
=> cB(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f17,axiom,
! [X0] :
~ ( cB(X0)
& cA(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f18,axiom,
! [X0,X1] :
( rq(X0,X1)
=> rr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f19,axiom,
! [X0,X1] :
( rp(X0,X1)
=> rr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f20,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ( ? [X1,X2] :
( rp(X0,X1)
& rp(X0,X2)
& X1 != X2 )
& ? [X1,X2,X3] :
( rq(X0,X1)
& rq(X0,X2)
& rq(X0,X3)
& X1 != X2
& X1 != X3
& X2 != X3 ) )
=> ? [X1,X2,X3,X4,X5] :
( rr(X0,X1)
& rr(X0,X2)
& rr(X0,X3)
& rr(X0,X4)
& rr(X0,X5)
& X1 != X2
& X1 != X3
& X1 != X4
& X1 != X5
& X2 != X3
& X2 != X4
& X2 != X5
& X3 != X4
& X3 != X5
& X4 != X5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f21,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ( ? [X1,X2] :
( rp(X0,X1)
& rp(X0,X2)
& X1 != X2 )
& ? [X1,X2,X3] :
( rq(X0,X1)
& rq(X0,X2)
& rq(X0,X3)
& X1 != X2
& X1 != X3
& X2 != X3 ) )
=> ? [X1,X2,X3,X4,X5] :
( rr(X0,X1)
& rr(X0,X2)
& rr(X0,X3)
& rr(X0,X4)
& rr(X0,X5)
& X1 != X2
& X1 != X3
& X1 != X4
& X1 != X5
& X2 != X3
& X2 != X4
& X2 != X5
& X3 != X4
& X3 != X5
& X4 != X5 ) ) ),
inference(negated_conjecture,[status(cth)],[f20]) ).
fof(f22,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X2] :
( ( ? [X3,X4] :
( rp(X2,X3)
& rp(X2,X4)
& X3 != X4 )
& ? [X5,X6,X7] :
( rq(X2,X5)
& rq(X2,X6)
& rq(X2,X7)
& X5 != X6
& X5 != X7
& X6 != X7 ) )
=> ? [X8,X9,X10,X11,X12] :
( rr(X2,X8)
& rr(X2,X9)
& rr(X2,X10)
& rr(X2,X11)
& rr(X2,X12)
& X8 != X9
& X8 != X10
& X8 != X11
& X8 != X12
& X9 != X10
& X9 != X11
& X9 != X12
& X10 != X11
& X10 != X12
& X11 != X12 ) ) ),
inference(rectify,[],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( cA(X1)
| X0 != X1
| ~ cA(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f24,plain,
! [X0,X1] :
( cA(X1)
| X0 != X1
| ~ cA(X0) ),
inference(flattening,[],[f23]) ).
fof(f25,plain,
! [X0,X1] :
( cB(X1)
| X0 != X1
| ~ cB(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f26,plain,
! [X0,X1] :
( cB(X1)
| X0 != X1
| ~ cB(X0) ),
inference(flattening,[],[f25]) ).
fof(f27,plain,
! [X0,X1] :
( cowlNothing(X1)
| X0 != X1
| ~ cowlNothing(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f28,plain,
! [X0,X1] :
( cowlNothing(X1)
| X0 != X1
| ~ cowlNothing(X0) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( cowlThing(X1)
| X0 != X1
| ~ cowlThing(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f30,plain,
! [X0,X1] :
( cowlThing(X1)
| X0 != X1
| ~ cowlThing(X0) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] :
( rp(X1,X2)
| X0 != X1
| ~ rp(X0,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f32,plain,
! [X0,X1,X2] :
( rp(X1,X2)
| X0 != X1
| ~ rp(X0,X2) ),
inference(flattening,[],[f31]) ).
fof(f33,plain,
! [X0,X1,X2] :
( rp(X2,X1)
| X0 != X1
| ~ rp(X2,X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f34,plain,
! [X0,X1,X2] :
( rp(X2,X1)
| X0 != X1
| ~ rp(X2,X0) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
! [X0,X1,X2] :
( rq(X1,X2)
| X0 != X1
| ~ rq(X0,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f36,plain,
! [X0,X1,X2] :
( rq(X1,X2)
| X0 != X1
| ~ rq(X0,X2) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
! [X0,X1,X2] :
( rq(X2,X1)
| X0 != X1
| ~ rq(X2,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f38,plain,
! [X0,X1,X2] :
( rq(X2,X1)
| X0 != X1
| ~ rq(X2,X0) ),
inference(flattening,[],[f37]) ).
fof(f39,plain,
! [X0,X1,X2] :
( rr(X1,X2)
| X0 != X1
| ~ rr(X0,X2) ),
inference(ennf_transformation,[],[f9]) ).
fof(f40,plain,
! [X0,X1,X2] :
( rr(X1,X2)
| X0 != X1
| ~ rr(X0,X2) ),
inference(flattening,[],[f39]) ).
fof(f41,plain,
! [X0,X1,X2] :
( rr(X2,X1)
| X0 != X1
| ~ rr(X2,X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f42,plain,
! [X0,X1,X2] :
( rr(X2,X1)
| X0 != X1
| ~ rr(X2,X0) ),
inference(flattening,[],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( xsd_integer(X1)
| X0 != X1
| ~ xsd_integer(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f44,plain,
! [X0,X1] :
( xsd_integer(X1)
| X0 != X1
| ~ xsd_integer(X0) ),
inference(flattening,[],[f43]) ).
fof(f45,plain,
! [X0,X1] :
( xsd_string(X1)
| X0 != X1
| ~ xsd_string(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f46,plain,
! [X0,X1] :
( xsd_string(X1)
| X0 != X1
| ~ xsd_string(X0) ),
inference(flattening,[],[f45]) ).
fof(f47,plain,
! [X0,X1] :
( cA(X1)
| ~ rp(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f48,plain,
! [X0,X1] :
( cB(X1)
| ~ rq(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f49,plain,
! [X0] :
( ~ cB(X0)
| ~ cA(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f50,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rq(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f51,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rp(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f52,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X2] :
( ! [X8,X9,X10,X11,X12] :
( ~ rr(X2,X8)
| ~ rr(X2,X9)
| ~ rr(X2,X10)
| ~ rr(X2,X11)
| ~ rr(X2,X12)
| X8 = X9
| X8 = X10
| X8 = X11
| X8 = X12
| X9 = X10
| X9 = X11
| X9 = X12
| X10 = X11
| X10 = X12
| X11 = X12 )
& ? [X3,X4] :
( rp(X2,X3)
& rp(X2,X4)
& X3 != X4 )
& ? [X5,X6,X7] :
( rq(X2,X5)
& rq(X2,X6)
& rq(X2,X7)
& X5 != X6
& X5 != X7
& X6 != X7 ) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f53,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X2] :
( ! [X8,X9,X10,X11,X12] :
( ~ rr(X2,X8)
| ~ rr(X2,X9)
| ~ rr(X2,X10)
| ~ rr(X2,X11)
| ~ rr(X2,X12)
| X8 = X9
| X8 = X10
| X8 = X11
| X8 = X12
| X9 = X10
| X9 = X11
| X9 = X12
| X10 = X11
| X10 = X12
| X11 = X12 )
& ? [X3,X4] :
( rp(X2,X3)
& rp(X2,X4)
& X3 != X4 )
& ? [X5,X6,X7] :
( rq(X2,X5)
& rq(X2,X6)
& rq(X2,X7)
& X5 != X6
& X5 != X7
& X6 != X7 ) ) ),
inference(flattening,[],[f52]) ).
fof(f54,definition,
! [X2] :
( ? [X5,X6,X7] :
( rq(X2,X5)
& rq(X2,X6)
& rq(X2,X7)
& X5 != X6
& X5 != X7
& X6 != X7 )
| ~ sP0(X2) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f55,definition,
( ? [X2] :
( ! [X8,X9,X10,X11,X12] :
( ~ rr(X2,X8)
| ~ rr(X2,X9)
| ~ rr(X2,X10)
| ~ rr(X2,X11)
| ~ rr(X2,X12)
| X8 = X9
| X8 = X10
| X8 = X11
| X8 = X12
| X9 = X10
| X9 = X11
| X9 = X12
| X10 = X11
| X10 = X12
| X11 = X12 )
& ? [X3,X4] :
( rp(X2,X3)
& rp(X2,X4)
& X3 != X4 )
& sP0(X2) )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f56,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| sP1 ),
inference(definition_folding,[],[f53,f55,f54]) ).
fof(f57,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f58,plain,
( ? [X2] :
( ! [X8,X9,X10,X11,X12] :
( ~ rr(X2,X8)
| ~ rr(X2,X9)
| ~ rr(X2,X10)
| ~ rr(X2,X11)
| ~ rr(X2,X12)
| X8 = X9
| X8 = X10
| X8 = X11
| X8 = X12
| X9 = X10
| X9 = X11
| X9 = X12
| X10 = X11
| X10 = X12
| X11 = X12 )
& ? [X3,X4] :
( rp(X2,X3)
& rp(X2,X4)
& X3 != X4 )
& sP0(X2) )
| ~ sP1 ),
inference(nnf_transformation,[],[f55]) ).
fof(f59,plain,
( ? [X0] :
( ! [X1,X2,X3,X4,X5] :
( ~ rr(X0,X1)
| ~ rr(X0,X2)
| ~ rr(X0,X3)
| ~ rr(X0,X4)
| ~ rr(X0,X5)
| X1 = X2
| X1 = X3
| X1 = X4
| X1 = X5
| X2 = X3
| X2 = X4
| X2 = X5
| X3 = X4
| X3 = X5
| X4 = X5 )
& ? [X6,X7] :
( rp(X0,X6)
& rp(X0,X7)
& X6 != X7 )
& sP0(X0) )
| ~ sP1 ),
inference(rectify,[],[f58]) ).
fof(f60,plain,
( ( ! [X1,X2,X3,X4,X5] :
( ~ rr(sK2,X1)
| ~ rr(sK2,X2)
| ~ rr(sK2,X3)
| ~ rr(sK2,X4)
| ~ rr(sK2,X5)
| X1 = X2
| X1 = X3
| X1 = X4
| X1 = X5
| X2 = X3
| X2 = X4
| X2 = X5
| X3 = X4
| X3 = X5
| X4 = X5 )
& rp(sK2,sK3)
& rp(sK2,sK4)
& sK3 != sK4
& sP0(sK2) )
| ~ sP1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X6,sK3),skolemize(X7,sK4)],[f59]) ).
fof(f61,plain,
! [X2] :
( ? [X5,X6,X7] :
( rq(X2,X5)
& rq(X2,X6)
& rq(X2,X7)
& X5 != X6
& X5 != X7
& X6 != X7 )
| ~ sP0(X2) ),
inference(nnf_transformation,[],[f54]) ).
fof(f62,plain,
! [X0] :
( ? [X1,X2,X3] :
( rq(X0,X1)
& rq(X0,X2)
& rq(X0,X3)
& X1 != X2
& X1 != X3
& X2 != X3 )
| ~ sP0(X0) ),
inference(rectify,[],[f61]) ).
fof(f63,plain,
! [X0] :
( ( rq(X0,sK5(X0))
& rq(X0,sK6(X0))
& rq(X0,sK7(X0))
& sK5(X0) != sK6(X0)
& sK5(X0) != sK7(X0)
& sK6(X0) != sK7(X0) )
| ~ sP0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7]),skolemize(X1,sK5(X0)),skolemize(X2,sK6(X0)),skolemize(X3,sK7(X0))],[f62]) ).
fof(f64,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| sP1 ),
inference(nnf_transformation,[],[f56]) ).
fof(f65,plain,
( ~ cowlThing(sK8)
| cowlNothing(sK8)
| ( ( xsd_integer(sK9)
| ~ xsd_string(sK9) )
& ( ~ xsd_integer(sK9)
| xsd_string(sK9) ) )
| sP1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X0,sK8),skolemize(X1,sK9)],[f64]) ).
fof(f66,plain,
! [X0,X1] :
( cA(X1)
| X0 != X1
| ~ cA(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f67,plain,
! [X0,X1] :
( cB(X1)
| X0 != X1
| ~ cB(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f68,plain,
! [X0,X1] :
( cowlNothing(X1)
| X0 != X1
| ~ cowlNothing(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f69,plain,
! [X0,X1] :
( cowlThing(X1)
| X0 != X1
| ~ cowlThing(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f70,plain,
! [X2,X0,X1] :
( rp(X1,X2)
| X0 != X1
| ~ rp(X0,X2) ),
inference(cnf_transformation,[],[f32]) ).
fof(f71,plain,
! [X2,X0,X1] :
( rp(X2,X1)
| X0 != X1
| ~ rp(X2,X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f72,plain,
! [X2,X0,X1] :
( rq(X1,X2)
| X0 != X1
| ~ rq(X0,X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f73,plain,
! [X2,X0,X1] :
( rq(X2,X1)
| X0 != X1
| ~ rq(X2,X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f74,plain,
! [X2,X0,X1] :
( rr(X1,X2)
| X0 != X1
| ~ rr(X0,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f75,plain,
! [X2,X0,X1] :
( rr(X2,X1)
| X0 != X1
| ~ rr(X2,X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f76,plain,
! [X0,X1] :
( xsd_integer(X1)
| X0 != X1
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f77,plain,
! [X0,X1] :
( xsd_string(X1)
| X0 != X1
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f78,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f13]) ).
fof(f79,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f13]) ).
fof(f80,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f81,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f82,plain,
! [X0,X1] :
( cA(X0)
| ~ rp(X1,X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f83,plain,
! [X0,X1] :
( cB(X1)
| ~ rq(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f84,plain,
! [X0] :
( ~ cB(X0)
| ~ cA(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f85,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rq(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f86,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rp(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f87,plain,
( sP0(sK2)
| ~ sP1 ),
inference(cnf_transformation,[],[f60]) ).
fof(f88,plain,
( sK3 != sK4
| ~ sP1 ),
inference(cnf_transformation,[],[f60]) ).
fof(f89,plain,
( rp(sK2,sK4)
| ~ sP1 ),
inference(cnf_transformation,[],[f60]) ).
fof(f90,plain,
( rp(sK2,sK3)
| ~ sP1 ),
inference(cnf_transformation,[],[f60]) ).
fof(f91,plain,
! [X2,X3,X1,X4,X5] :
( ~ rr(sK2,X1)
| ~ rr(sK2,X2)
| ~ rr(sK2,X3)
| ~ rr(sK2,X4)
| ~ rr(sK2,X5)
| X1 = X2
| X1 = X3
| X1 = X4
| X1 = X5
| X2 = X3
| X2 = X4
| X2 = X5
| X3 = X4
| X3 = X5
| X4 = X5
| ~ sP1 ),
inference(cnf_transformation,[],[f60]) ).
fof(f92,plain,
! [X0] :
( sK6(X0) != sK7(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f93,plain,
! [X0] :
( sK5(X0) != sK7(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f94,plain,
! [X0] :
( sK5(X0) != sK6(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f95,plain,
! [X0] :
( rq(X0,sK7(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f96,plain,
! [X0] :
( rq(X0,sK6(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f97,plain,
! [X0] :
( rq(X0,sK5(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f98,plain,
( ~ cowlThing(sK8)
| cowlNothing(sK8)
| ~ xsd_integer(sK9)
| xsd_string(sK9)
| sP1 ),
inference(cnf_transformation,[],[f65]) ).
fof(f99,plain,
( ~ cowlThing(sK8)
| cowlNothing(sK8)
| xsd_integer(sK9)
| ~ xsd_string(sK9)
| sP1 ),
inference(cnf_transformation,[],[f65]) ).
fof(f100,plain,
! [X0] :
( cA(X0)
| ~ cA(X0) ),
inference(equality_resolution,[],[f66]) ).
fof(f101,plain,
! [X1] :
( cB(X1)
| ~ cB(X1) ),
inference(equality_resolution,[],[f67]) ).
fof(f102,plain,
! [X0] :
( cowlNothing(X0)
| ~ cowlNothing(X0) ),
inference(equality_resolution,[],[f68]) ).
fof(f103,plain,
! [X0] :
( cowlThing(X0)
| ~ cowlThing(X0) ),
inference(equality_resolution,[],[f69]) ).
fof(f104,plain,
! [X0,X1] :
( rp(X0,X1)
| ~ rp(X0,X1) ),
inference(equality_resolution,[],[f70]) ).
fof(f105,plain,
! [X0,X1] :
( rp(X0,X1)
| ~ rp(X0,X1) ),
inference(equality_resolution,[],[f71]) ).
fof(f106,plain,
! [X2,X1] :
( rq(X1,X2)
| ~ rq(X1,X2) ),
inference(equality_resolution,[],[f72]) ).
fof(f107,plain,
! [X2,X1] :
( rq(X2,X1)
| ~ rq(X2,X1) ),
inference(equality_resolution,[],[f73]) ).
fof(f108,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rr(X0,X1) ),
inference(equality_resolution,[],[f74]) ).
fof(f109,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rr(X0,X1) ),
inference(equality_resolution,[],[f75]) ).
fof(f110,plain,
! [X1] :
( xsd_integer(X1)
| ~ xsd_integer(X1) ),
inference(equality_resolution,[],[f76]) ).
fof(f111,plain,
! [X0] :
( xsd_string(X0)
| ~ xsd_string(X0) ),
inference(equality_resolution,[],[f77]) ).
fof(f112,plain,
! [X0] :
( ~ cB(X0)
| cB(X0) ),
inference(consistent_polarity_flipping,[],[f101]) ).
fof(f113,plain,
! [X0,X1] :
( ~ rq(X0,X1)
| rq(X0,X1) ),
inference(consistent_polarity_flipping,[],[f106]) ).
fof(f114,plain,
! [X0,X1] :
( ~ rq(X0,X1)
| rq(X0,X1) ),
inference(consistent_polarity_flipping,[],[f107]) ).
fof(f115,plain,
! [X0] :
( ~ xsd_integer(X0)
| xsd_integer(X0) ),
inference(consistent_polarity_flipping,[],[f110]) ).
fof(f116,plain,
! [X0] :
( xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(consistent_polarity_flipping,[],[f81]) ).
fof(f117,plain,
! [X0] :
( xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(consistent_polarity_flipping,[],[f80]) ).
fof(f118,plain,
! [X0,X1] :
( ~ cB(X0)
| rq(X1,X0) ),
inference(consistent_polarity_flipping,[],[f83]) ).
fof(f119,plain,
! [X0] :
( cB(X0)
| ~ cA(X0) ),
inference(consistent_polarity_flipping,[],[f84]) ).
fof(f120,plain,
! [X0,X1] :
( rr(X0,X1)
| rq(X0,X1) ),
inference(consistent_polarity_flipping,[],[f85]) ).
fof(f121,plain,
! [X2,X3,X1,X4,X5] :
( ~ rr(sK2,X1)
| ~ rr(sK2,X2)
| ~ rr(sK2,X3)
| ~ rr(sK2,X4)
| ~ rr(sK2,X5)
| X1 = X2
| X1 = X3
| X1 = X4
| X1 = X5
| X2 = X3
| X2 = X4
| X2 = X5
| X3 = X4
| X3 = X5
| X4 = X5
| sP1 ),
inference(consistent_polarity_flipping,[],[f91]) ).
fof(f122,plain,
( rp(sK2,sK3)
| sP1 ),
inference(consistent_polarity_flipping,[],[f90]) ).
fof(f123,plain,
( rp(sK2,sK4)
| sP1 ),
inference(consistent_polarity_flipping,[],[f89]) ).
fof(f124,plain,
( sK3 != sK4
| sP1 ),
inference(consistent_polarity_flipping,[],[f88]) ).
fof(f125,plain,
( sP0(sK2)
| sP1 ),
inference(consistent_polarity_flipping,[],[f87]) ).
fof(f126,plain,
! [X0] :
( ~ rq(X0,sK5(X0))
| ~ sP0(X0) ),
inference(consistent_polarity_flipping,[],[f97]) ).
fof(f127,plain,
! [X0] :
( ~ rq(X0,sK6(X0))
| ~ sP0(X0) ),
inference(consistent_polarity_flipping,[],[f96]) ).
fof(f128,plain,
! [X0] :
( ~ rq(X0,sK7(X0))
| ~ sP0(X0) ),
inference(consistent_polarity_flipping,[],[f95]) ).
fof(f129,plain,
( ~ cowlThing(sK8)
| cowlNothing(sK8)
| ~ xsd_integer(sK9)
| ~ xsd_string(sK9)
| ~ sP1 ),
inference(consistent_polarity_flipping,[],[f99]) ).
fof(f130,plain,
( ~ cowlThing(sK8)
| cowlNothing(sK8)
| xsd_integer(sK9)
| xsd_string(sK9)
| ~ sP1 ),
inference(consistent_polarity_flipping,[],[f98]) ).
fof(f166,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f100,f112,f102,f103,f104,f105,f113,f114,f108,f109,f115,f111,f79,f78,f116,f117,f82,f118,f119,f120,f86,f121,f122,f123,f124,f125,f126,f127,f128,f94,f93,f92,f129,f130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS162+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n009.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 13:32:45 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
% 0.10/0.45 % (2039138)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (2039144)% WARNING: option uhcvi not known.
% 0.10/0.45 % (2039144)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1331167900:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.45 % (2039143)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=566794212_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.45 % (2039145)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3284346438:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.45 % (2039149)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1532945382:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.45 % (2039146)dis+10_1_sil=32000:sp=arity:random_seed=211491573:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.45 % (2039147)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1914487063:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.45 % (2039148)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=289134775:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.45 % TRYING [1]
% 0.10/0.45 % TRYING [2]
% 0.10/0.45 % TRYING [3]
% 0.10/0.45 % TRYING [4]
% 0.10/0.45 % TRYING [5]
% 0.10/0.45 % (2039143) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2039138-2039143"...
% 0.10/0.45 % (2039143)...printing done.
% 0.10/0.45 % (2039143)Refutation found. Thanks to Tanya!
% 0.10/0.45 % SZS status Theorem for theBenchmark
% 0.10/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.46 % (2039143)------------------------------
% 0.10/0.46 % (2039143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.46 % (2039143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.46 % (2039143)CaDiCaL version: 2.1.3
% 0.10/0.46 % (2039143)Termination reason: Refutation
% 0.10/0.46 % (2039143)Time elapsed: 0.007 s
% 0.10/0.46 % (2039143)Peak memory usage: 11 MB
% 0.10/0.46 % (2039143)Instructions burned: 10 (million)
% 0.10/0.46 % (2039138)Success in time 0.044 s
% 0.10/0.46 % Vampire exiting
%------------------------------------------------------------------------------