%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS145+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 11:41:45 AM UTC 2026
% Result : Theorem 2.34s 1.17s
% Output : Refutation 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 5
% Syntax : Number of formulae : 88 ( 6 unt; 1 def)
% Number of atoms : 467 ( 150 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 610 ( 231 ~; 279 |; 83 &)
% ( 4 <=>; 10 =>; 0 <=; 3 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 168 ( 126 !; 42 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f9,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f10,axiom,
! [X0] :
( cc(X0)
=> ( ! [X1,X2,X3] :
( ( rp(X0,X1)
& rp(X0,X2)
& rp(X0,X3) )
=> ( X1 = X2
| X1 = X3
| X2 = X3 ) )
& ? [X1,X2] :
( rp(X0,X1)
& rp(X0,X2)
& X1 != X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f11,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( cc(X0)
=> ( ? [X1,X2] :
( rp(X0,X1)
& rp(X0,X2)
& X1 != X2 )
& ! [X1,X2,X3] :
( ( rp(X0,X1)
& rp(X0,X2)
& rp(X0,X3) )
=> ( X1 = X2
| X1 = X3
| X2 = X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f12,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( cc(X0)
=> ( ? [X1,X2] :
( rp(X0,X1)
& rp(X0,X2)
& X1 != X2 )
& ! [X1,X2,X3] :
( ( rp(X0,X1)
& rp(X0,X2)
& rp(X0,X3) )
=> ( X1 = X2
| X1 = X3
| X2 = X3 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f11]) ).
fof(f13,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X2] :
( cc(X2)
=> ( ? [X3,X4] :
( rp(X2,X3)
& rp(X2,X4)
& X3 != X4 )
& ! [X5,X6,X7] :
( ( rp(X2,X5)
& rp(X2,X6)
& rp(X2,X7) )
=> ( X5 = X6
| X5 = X7
| X6 = X7 ) ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f14,plain,
! [X0] :
( cc(X0)
=> ( ! [X1,X2,X3] :
( ( rp(X0,X1)
& rp(X0,X2)
& rp(X0,X3) )
=> ( X1 = X2
| X1 = X3
| X2 = X3 ) )
& ? [X4,X5] :
( rp(X0,X4)
& rp(X0,X5)
& X4 != X5 ) ) ),
inference(rectify,[],[f10]) ).
fof(f15,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] :
( X5 != X6
& X5 != X7
& X6 != X7
& rp(X2,X5)
& rp(X2,X6)
& rp(X2,X7) ) )
& cc(X2) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f16,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] :
( X5 != X6
& X5 != X7
& X6 != X7
& rp(X2,X5)
& rp(X2,X6)
& rp(X2,X7) ) )
& cc(X2) ) ),
inference(flattening,[],[f15]) ).
fof(f17,plain,
! [X0] :
( ( ! [X1,X2,X3] :
( X1 = X2
| X1 = X3
| X2 = X3
| ~ rp(X0,X1)
| ~ rp(X0,X2)
| ~ rp(X0,X3) )
& ? [X4,X5] :
( rp(X0,X4)
& rp(X0,X5)
& X4 != X5 ) )
| ~ cc(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f18,plain,
! [X0] :
( ( ! [X1,X2,X3] :
( X1 = X2
| X1 = X3
| X2 = X3
| ~ rp(X0,X1)
| ~ rp(X0,X2)
| ~ rp(X0,X3) )
& ? [X4,X5] :
( rp(X0,X4)
& rp(X0,X5)
& X4 != X5 ) )
| ~ cc(X0) ),
inference(flattening,[],[f17]) ).
fof(f33,definition,
( ? [X2] :
( ( ! [X3,X4] :
( ~ rp(X2,X3)
| ~ rp(X2,X4)
| X3 = X4 )
| ? [X5,X6,X7] :
( X5 != X6
& X5 != X7
& X6 != X7
& rp(X2,X5)
& rp(X2,X6)
& rp(X2,X7) ) )
& cc(X2) )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f34,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| sP0 ),
inference(definition_folding,[],[f16,f33]) ).
fof(f35,plain,
( ? [X2] :
( ( ! [X3,X4] :
( ~ rp(X2,X3)
| ~ rp(X2,X4)
| X3 = X4 )
| ? [X5,X6,X7] :
( X5 != X6
& X5 != X7
& X6 != X7
& rp(X2,X5)
& rp(X2,X6)
& rp(X2,X7) ) )
& cc(X2) )
| ~ sP0 ),
inference(nnf_transformation,[],[f33]) ).
fof(f36,plain,
( ? [X0] :
( ( ! [X1,X2] :
( ~ rp(X0,X1)
| ~ rp(X0,X2)
| X1 = X2 )
| ? [X3,X4,X5] :
( X3 != X4
& X3 != X5
& X4 != X5
& rp(X0,X3)
& rp(X0,X4)
& rp(X0,X5) ) )
& cc(X0) )
| ~ sP0 ),
inference(rectify,[],[f35]) ).
fof(f37,plain,
( ( ( ! [X1,X2] :
( ~ rp(sK1,X1)
| ~ rp(sK1,X2)
| X1 = X2 )
| ( sK2 != sK3
& sK2 != sK4
& sK3 != sK4
& rp(sK1,sK2)
& rp(sK1,sK3)
& rp(sK1,sK4) ) )
& cc(sK1) )
| ~ sP0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4]),skolemize(X0,sK1),skolemize(X3,sK2),skolemize(X4,sK3),skolemize(X5,sK4)],[f36]) ).
fof(f38,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| sP0 ),
inference(nnf_transformation,[],[f34]) ).
fof(f39,plain,
( ~ cowlThing(sK5)
| cowlNothing(sK5)
| ( ( xsd_integer(sK6)
| ~ xsd_string(sK6) )
& ( ~ xsd_integer(sK6)
| xsd_string(sK6) ) )
| sP0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X0,sK5),skolemize(X1,sK6)],[f38]) ).
fof(f40,plain,
! [X0] :
( ( ! [X1,X2,X3] :
( X1 = X2
| X1 = X3
| X2 = X3
| ~ rp(X0,X1)
| ~ rp(X0,X2)
| ~ rp(X0,X3) )
& rp(X0,sK7(X0))
& rp(X0,sK8(X0))
& sK7(X0) != sK8(X0) )
| ~ cc(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X4,sK7(X0)),skolemize(X5,sK8(X0))],[f18]) ).
fof(f41,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f42,plain,
( cc(sK1)
| ~ sP0 ),
inference(cnf_transformation,[],[f37]) ).
fof(f43,plain,
! [X2,X1] :
( ~ rp(sK1,X1)
| ~ rp(sK1,X2)
| X1 = X2
| rp(sK1,sK4)
| ~ sP0 ),
inference(cnf_transformation,[],[f37]) ).
fof(f44,plain,
! [X2,X1] :
( ~ rp(sK1,X1)
| ~ rp(sK1,X2)
| X1 = X2
| rp(sK1,sK3)
| ~ sP0 ),
inference(cnf_transformation,[],[f37]) ).
fof(f45,plain,
! [X2,X1] :
( ~ rp(sK1,X1)
| ~ rp(sK1,X2)
| X1 = X2
| rp(sK1,sK2)
| ~ sP0 ),
inference(cnf_transformation,[],[f37]) ).
fof(f46,plain,
! [X2,X1] :
( ~ rp(sK1,X1)
| ~ rp(sK1,X2)
| X1 = X2
| sK3 != sK4
| ~ sP0 ),
inference(cnf_transformation,[],[f37]) ).
fof(f47,plain,
! [X2,X1] :
( ~ rp(sK1,X1)
| ~ rp(sK1,X2)
| X1 = X2
| sK2 != sK4
| ~ sP0 ),
inference(cnf_transformation,[],[f37]) ).
fof(f48,plain,
! [X2,X1] :
( ~ rp(sK1,X1)
| ~ rp(sK1,X2)
| X1 = X2
| sK2 != sK3
| ~ sP0 ),
inference(cnf_transformation,[],[f37]) ).
fof(f49,plain,
( xsd_string(sK6)
| cowlNothing(sK5)
| ~ xsd_integer(sK6)
| ~ cowlThing(sK5)
| sP0 ),
inference(cnf_transformation,[],[f39]) ).
fof(f50,plain,
( xsd_integer(sK6)
| cowlNothing(sK5)
| ~ cowlThing(sK5)
| ~ xsd_string(sK6)
| sP0 ),
inference(cnf_transformation,[],[f39]) ).
fof(f51,plain,
! [X0] :
( sK7(X0) != sK8(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f52,plain,
! [X0] :
( rp(X0,sK8(X0))
| ~ cc(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f53,plain,
! [X0] :
( rp(X0,sK7(X0))
| ~ cc(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f54,plain,
! [X2,X3,X0,X1] :
( ~ rp(X0,X3)
| X1 = X3
| X2 = X3
| ~ rp(X0,X1)
| ~ rp(X0,X2)
| X1 = X2
| ~ cc(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f56,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f8]) ).
fof(f57,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f8]) ).
fof(f62,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f63,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f73,plain,
( ~ xsd_integer(sK6)
| cowlNothing(sK5)
| ~ xsd_integer(sK6)
| ~ cowlThing(sK5)
| sP0 ),
inference(resolution,[],[f62,f49]) ).
fof(f74,plain,
( ~ xsd_integer(sK6)
| cowlNothing(sK5)
| ~ cowlThing(sK5)
| sP0 ),
inference(duplicate_literal_removal,[],[f73]) ).
fof(f75,plain,
( ~ xsd_integer(sK6)
| ~ cowlThing(sK5)
| sP0 ),
inference(forward_subsumption_resolution,[],[f74,f56]) ).
fof(f76,plain,
( ~ xsd_integer(sK6)
| sP0 ),
inference(forward_subsumption_resolution,[],[f75,f57]) ).
fof(f78,plain,
( sP0
| cowlNothing(sK5)
| ~ cowlThing(sK5)
| ~ xsd_string(sK6)
| sP0 ),
inference(resolution,[],[f76,f50]) ).
fof(f79,plain,
( sP0
| cowlNothing(sK5)
| ~ cowlThing(sK5)
| ~ xsd_string(sK6) ),
inference(duplicate_literal_removal,[],[f78]) ).
fof(f80,plain,
( sP0
| ~ cowlThing(sK5)
| ~ xsd_string(sK6) ),
inference(forward_subsumption_resolution,[],[f79,f56]) ).
fof(f81,plain,
( ~ xsd_string(sK6)
| sP0 ),
inference(forward_subsumption_resolution,[],[f80,f57]) ).
fof(f83,plain,
( sP0
| xsd_integer(sK6) ),
inference(resolution,[],[f81,f63]) ).
fof(f85,plain,
sP0,
inference(forward_subsumption_resolution,[],[f83,f76]) ).
fof(f86,plain,
! [X2,X1] :
( rp(sK1,sK4)
| ~ rp(sK1,X2)
| X1 = X2
| ~ rp(sK1,X1) ),
inference(forward_subsumption_resolution,[],[f43,f85]) ).
fof(f87,plain,
! [X2,X1] :
( rp(sK1,sK3)
| ~ rp(sK1,X2)
| X1 = X2
| ~ rp(sK1,X1) ),
inference(forward_subsumption_resolution,[],[f44,f85]) ).
fof(f88,plain,
! [X2,X1] :
( rp(sK1,sK2)
| ~ rp(sK1,X2)
| X1 = X2
| ~ rp(sK1,X1) ),
inference(forward_subsumption_resolution,[],[f45,f85]) ).
fof(f89,plain,
! [X2,X1] :
( sK3 != sK4
| ~ rp(sK1,X2)
| X1 = X2
| ~ rp(sK1,X1) ),
inference(forward_subsumption_resolution,[],[f46,f85]) ).
fof(f90,plain,
! [X2,X1] :
( sK2 != sK4
| ~ rp(sK1,X2)
| X1 = X2
| ~ rp(sK1,X1) ),
inference(forward_subsumption_resolution,[],[f47,f85]) ).
fof(f91,plain,
! [X2,X1] :
( sK2 != sK3
| ~ rp(sK1,X2)
| X1 = X2
| ~ rp(sK1,X1) ),
inference(forward_subsumption_resolution,[],[f48,f85]) ).
fof(f94,plain,
! [X2,X3,X0,X1] :
( ~ rp(sK1,X3)
| sK4 = X1
| ~ rp(sK1,X0)
| ~ rp(sK1,X1)
| X0 = X1
| ~ cc(sK1)
| ~ rp(sK1,X2)
| X2 = X3
| sK4 = X0 ),
inference(resolution,[],[f54,f86]) ).
fof(f95,plain,
! [X2,X3,X0,X1] :
( ~ rp(sK1,X3)
| sK3 = X1
| ~ rp(sK1,X0)
| ~ rp(sK1,X1)
| X0 = X1
| ~ cc(sK1)
| ~ rp(sK1,X2)
| X2 = X3
| sK3 = X0 ),
inference(resolution,[],[f54,f87]) ).
fof(f108,plain,
! [X2,X0,X1] :
( ~ rp(sK1,X2)
| sK4 = X1
| ~ rp(sK1,X1)
| X0 = X1
| ~ cc(sK1)
| ~ rp(sK1,X0)
| X0 = X2
| sK4 = X0 ),
inference(factoring,[],[f94]) ).
fof(f118,plain,
! [X0,X1] :
( ~ rp(sK1,X0)
| sK4 = X0
| X0 = X1
| ~ cc(sK1)
| ~ rp(sK1,X1)
| X0 = X1
| sK4 = X1 ),
inference(factoring,[],[f108]) ).
fof(f120,plain,
! [X0,X1] :
( ~ rp(sK1,X1)
| sK4 = X0
| X0 = X1
| ~ cc(sK1)
| ~ rp(sK1,X0)
| sK4 = X1 ),
inference(duplicate_literal_removal,[],[f118]) ).
fof(f129,plain,
! [X2,X0,X1] :
( ~ rp(sK1,X2)
| sK3 = X1
| ~ rp(sK1,X1)
| X0 = X1
| ~ cc(sK1)
| ~ rp(sK1,X0)
| X0 = X2
| sK3 = X0 ),
inference(factoring,[],[f95]) ).
fof(f137,plain,
! [X0] :
( sK4 = X0
| sK8(sK1) = X0
| ~ cc(sK1)
| ~ rp(sK1,X0)
| sK4 = sK8(sK1)
| ~ cc(sK1) ),
inference(resolution,[],[f120,f52]) ).
fof(f142,plain,
! [X0] :
( sK8(sK1) = X0
| sK4 = X0
| ~ cc(sK1)
| ~ rp(sK1,X0)
| sK4 = sK8(sK1) ),
inference(duplicate_literal_removal,[],[f137]) ).
fof(f163,plain,
! [X0] :
( sK7(sK1) != X0
| ~ cc(sK1)
| sK4 = X0
| ~ cc(sK1)
| ~ rp(sK1,X0)
| sK4 = sK8(sK1) ),
inference(superposition,[],[f51,f142]) ).
fof(f168,plain,
! [X0] :
( sK7(sK1) != X0
| ~ cc(sK1)
| sK4 = X0
| ~ rp(sK1,X0)
| sK4 = sK8(sK1) ),
inference(duplicate_literal_removal,[],[f163]) ).
fof(f185,plain,
( ~ cc(sK1)
| sK4 = sK7(sK1)
| ~ rp(sK1,sK7(sK1))
| sK4 = sK8(sK1) ),
inference(equality_resolution,[],[f168]) ).
fof(f188,plain,
( sK4 = sK8(sK1)
| sK4 = sK7(sK1)
| ~ cc(sK1) ),
inference(forward_subsumption_resolution,[],[f185,f53]) ).
fof(f192,plain,
( rp(sK1,sK4)
| ~ cc(sK1)
| sK4 = sK7(sK1)
| ~ cc(sK1) ),
inference(superposition,[],[f52,f188]) ).
fof(f193,plain,
( sK4 = sK7(sK1)
| ~ cc(sK1)
| rp(sK1,sK4) ),
inference(duplicate_literal_removal,[],[f192]) ).
fof(f219,plain,
( rp(sK1,sK4)
| ~ cc(sK1)
| ~ cc(sK1)
| rp(sK1,sK4) ),
inference(superposition,[],[f53,f193]) ).
fof(f220,plain,
( rp(sK1,sK4)
| ~ cc(sK1) ),
inference(duplicate_literal_removal,[],[f219]) ).
fof(f254,plain,
! [X0,X1] :
( ~ rp(sK1,X0)
| sK3 = X0
| X0 = X1
| ~ cc(sK1)
| ~ rp(sK1,X1)
| X0 = X1
| sK3 = X1 ),
inference(factoring,[],[f129]) ).
fof(f256,plain,
! [X0,X1] :
( ~ rp(sK1,X1)
| sK3 = X0
| X0 = X1
| ~ cc(sK1)
| ~ rp(sK1,X0)
| sK3 = X1 ),
inference(duplicate_literal_removal,[],[f254]) ).
fof(f261,plain,
! [X0] :
( sK3 = X0
| sK4 = X0
| ~ cc(sK1)
| ~ rp(sK1,X0)
| sK3 = sK4
| ~ cc(sK1) ),
inference(resolution,[],[f256,f220]) ).
fof(f272,plain,
! [X0] :
( ~ rp(sK1,X0)
| sK4 = X0
| ~ cc(sK1)
| sK3 = X0
| sK3 = sK4 ),
inference(duplicate_literal_removal,[],[f261]) ).
fof(f278,plain,
! [X0,X1] :
( sK2 = sK4
| ~ cc(sK1)
| sK2 = sK3
| sK3 = sK4
| ~ rp(sK1,X0)
| X0 = X1
| ~ rp(sK1,X1) ),
inference(resolution,[],[f272,f88]) ).
fof(f286,plain,
! [X0,X1] :
( ~ cc(sK1)
| sK2 = sK3
| sK3 = sK4
| ~ rp(sK1,X0)
| X0 = X1
| ~ rp(sK1,X1) ),
inference(forward_subsumption_resolution,[],[f278,f90]) ).
fof(f287,plain,
! [X0,X1] :
( ~ cc(sK1)
| sK3 = sK4
| ~ rp(sK1,X0)
| X0 = X1
| ~ rp(sK1,X1) ),
inference(forward_subsumption_resolution,[],[f286,f91]) ).
fof(f288,plain,
! [X0,X1] :
( ~ rp(sK1,X1)
| ~ rp(sK1,X0)
| X0 = X1
| ~ cc(sK1) ),
inference(forward_subsumption_resolution,[],[f287,f89]) ).
fof(f289,plain,
! [X0] :
( ~ rp(sK1,X0)
| sK4 = X0
| ~ cc(sK1)
| ~ cc(sK1) ),
inference(resolution,[],[f288,f220]) ).
fof(f298,plain,
! [X0] :
( ~ rp(sK1,X0)
| sK4 = X0
| ~ cc(sK1) ),
inference(duplicate_literal_removal,[],[f289]) ).
fof(f303,plain,
( sK4 = sK8(sK1)
| ~ cc(sK1)
| ~ cc(sK1) ),
inference(resolution,[],[f298,f52]) ).
fof(f304,plain,
( sK4 = sK7(sK1)
| ~ cc(sK1)
| ~ cc(sK1) ),
inference(resolution,[],[f298,f53]) ).
fof(f305,plain,
( sK4 = sK7(sK1)
| ~ cc(sK1) ),
inference(duplicate_literal_removal,[],[f304]) ).
fof(f306,plain,
( sK4 = sK8(sK1)
| ~ cc(sK1) ),
inference(duplicate_literal_removal,[],[f303]) ).
fof(f321,plain,
( sK4 != sK7(sK1)
| ~ cc(sK1)
| ~ cc(sK1) ),
inference(superposition,[],[f51,f306]) ).
fof(f324,plain,
( sK4 != sK7(sK1)
| ~ cc(sK1) ),
inference(duplicate_literal_removal,[],[f321]) ).
fof(f328,plain,
~ cc(sK1),
inference(forward_subsumption_resolution,[],[f324,f305]) ).
fof(f329,plain,
~ sP0,
inference(resolution,[],[f328,f42]) ).
fof(f330,plain,
$false,
inference(forward_subsumption_resolution,[],[f329,f85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS145+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n008.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 13:29:54 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 2.34/1.17 % (1226925)Detected formulas, will run a generic FOF schedule.
% 2.34/1.17 % (1226934)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4152145855:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.34/1.17 % (1226934)First to succeed.
% 2.34/1.17 % (1226934)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1226925"
% 2.34/1.17 % (1226930)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=3288477572:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.34/1.17 % (1226933)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1062661788:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.34/1.17 % (1226932)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=983714968:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.34/1.17 % (1226931)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=705905320:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.34/1.17 % (1226933)Refutation not found, incomplete strategy
% 2.34/1.17 % (1226933)------------------------------
% 2.34/1.17 % (1226933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.34/1.17 % (1226933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/1.17 % (1226933)CaDiCaL version: 2.1.3
% 2.34/1.17 % (1226933)Termination reason: Refutation not found, incomplete strategy
% 2.34/1.17 % (1226933)Time elapsed: 0.002 s
% 2.34/1.17 % (1226933)Peak memory usage: 88 MB
% 2.34/1.17 % (1226933)Instructions burned: 1 (million)
% 2.34/1.17 % (1226935)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3141874165:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.34/1.17 % (1226936)dis-21_1_sil=8000:lcm=predicate:random_seed=1026473170: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)
% 2.34/1.17 % (1226936)Also succeeded, but the first one will report.
% 2.34/1.17 % (1226935)Also succeeded, but the first one will report.
% 2.34/1.17 % (1226934)Refutation found. Thanks to Tanya!
% 2.34/1.17 % SZS status Theorem for theBenchmark
% 2.34/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.73/1.36 % (1226934)------------------------------
% 2.73/1.36 % (1226934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.36 % (1226934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.36 % (1226934)CaDiCaL version: 2.1.3
% 2.73/1.36 % (1226934)Termination reason: Refutation
% 2.73/1.36 % (1226934)Time elapsed: 0.006 s
% 2.73/1.36 % (1226934)Peak memory usage: 88 MB
% 2.73/1.36 % (1226934)Instructions burned: 18 (million)
% 2.73/1.36 % (1226934)------------------------------
% 2.73/1.36 % (1226934)------------------------------
% 2.73/1.36 % (1226925)Success in time 0.306 s
% 2.73/1.36 % Vampire exiting
%------------------------------------------------------------------------------