%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS167+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 11:41:49 AM UTC 2026
% Result : Theorem 2.41s 1.16s
% Output : Refutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 5
% Syntax : Number of formulae : 87 ( 8 unt; 0 def)
% Number of atoms : 396 ( 36 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 527 ( 218 ~; 229 |; 59 &)
% ( 15 <=>; 4 =>; 0 <=; 2 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-1 aty)
% Number of variables : 174 ( 142 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f10,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f11,axiom,
! [X0] :
( cc1(X0)
<=> ( ? [X1] : rp(X0,X1)
& ! [X1,X2] :
( ( rp(X0,X1)
& rp(X0,X2) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f12,axiom,
! [X0] :
( cc2(X0)
<=> ( ? [X1] : rp(X0,X1)
& ! [X1,X2] :
( ( rp(X0,X1)
& rp(X0,X2) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f13,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( cc1(X0)
<=> cc2(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f14,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( cc1(X0)
<=> cc2(X0) ) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f15,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X2] :
( cc1(X2)
<=> cc2(X2) ) ),
inference(rectify,[],[f14]) ).
fof(f16,plain,
! [X0] :
( cc1(X0)
<=> ( ? [X1] : rp(X0,X1)
& ! [X2,X3] :
( ( rp(X0,X2)
& rp(X0,X3) )
=> X2 = X3 ) ) ),
inference(rectify,[],[f11]) ).
fof(f17,plain,
! [X0] :
( cc2(X0)
<=> ( ? [X1] : rp(X0,X1)
& ! [X2,X3] :
( ( rp(X0,X2)
& rp(X0,X3) )
=> X2 = X3 ) ) ),
inference(rectify,[],[f12]) ).
fof(f18,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X2] :
( cc1(X2)
<~> cc2(X2) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f19,plain,
! [X0] :
( cc1(X0)
<=> ( ? [X1] : rp(X0,X1)
& ! [X2,X3] :
( X2 = X3
| ~ rp(X0,X2)
| ~ rp(X0,X3) ) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f20,plain,
! [X0] :
( cc1(X0)
<=> ( ? [X1] : rp(X0,X1)
& ! [X2,X3] :
( X2 = X3
| ~ rp(X0,X2)
| ~ rp(X0,X3) ) ) ),
inference(flattening,[],[f19]) ).
fof(f23,plain,
! [X0] :
( cc2(X0)
<=> ( ? [X1] : rp(X0,X1)
& ! [X2,X3] :
( X2 = X3
| ~ rp(X0,X2)
| ~ rp(X0,X3) ) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f24,plain,
! [X0] :
( cc2(X0)
<=> ( ? [X1] : rp(X0,X1)
& ! [X2,X3] :
( X2 = X3
| ~ rp(X0,X2)
| ~ rp(X0,X3) ) ) ),
inference(flattening,[],[f23]) ).
fof(f39,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ? [X2] :
( ( ~ cc2(X2)
| ~ cc1(X2) )
& ( cc2(X2)
| cc1(X2) ) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f40,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ( ( xsd_integer(sK1)
| ~ xsd_string(sK1) )
& ( ~ xsd_integer(sK1)
| xsd_string(sK1) ) )
| ( ( ~ cc2(sK2)
| ~ cc1(sK2) )
& ( cc2(sK2)
| cc1(sK2) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f39]) ).
fof(f41,plain,
! [X0] :
( ( cc1(X0)
| ! [X1] : ~ rp(X0,X1)
| ? [X2,X3] :
( X2 != X3
& rp(X0,X2)
& rp(X0,X3) ) )
& ( ( ? [X1] : rp(X0,X1)
& ! [X2,X3] :
( X2 = X3
| ~ rp(X0,X2)
| ~ rp(X0,X3) ) )
| ~ cc1(X0) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f42,plain,
! [X0] :
( ( cc1(X0)
| ! [X1] : ~ rp(X0,X1)
| ? [X2,X3] :
( X2 != X3
& rp(X0,X2)
& rp(X0,X3) ) )
& ( ( ? [X1] : rp(X0,X1)
& ! [X2,X3] :
( X2 = X3
| ~ rp(X0,X2)
| ~ rp(X0,X3) ) )
| ~ cc1(X0) ) ),
inference(flattening,[],[f41]) ).
fof(f43,plain,
! [X0] :
( ( cc1(X0)
| ! [X1] : ~ rp(X0,X1)
| ? [X2,X3] :
( X2 != X3
& rp(X0,X2)
& rp(X0,X3) ) )
& ( ( ? [X4] : rp(X0,X4)
& ! [X5,X6] :
( X5 = X6
| ~ rp(X0,X5)
| ~ rp(X0,X6) ) )
| ~ cc1(X0) ) ),
inference(rectify,[],[f42]) ).
fof(f44,plain,
! [X0] :
( ( cc1(X0)
| ! [X1] : ~ rp(X0,X1)
| ( sK3(X0) != sK4(X0)
& rp(X0,sK3(X0))
& rp(X0,sK4(X0)) ) )
& ( ( rp(X0,sK5(X0))
& ! [X5,X6] :
( X5 = X6
| ~ rp(X0,X5)
| ~ rp(X0,X6) ) )
| ~ cc1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X2,sK3(X0)),skolemize(X3,sK4(X0)),skolemize(X4,sK5(X0))],[f43]) ).
fof(f45,plain,
! [X0] :
( ( cc2(X0)
| ! [X1] : ~ rp(X0,X1)
| ? [X2,X3] :
( X2 != X3
& rp(X0,X2)
& rp(X0,X3) ) )
& ( ( ? [X1] : rp(X0,X1)
& ! [X2,X3] :
( X2 = X3
| ~ rp(X0,X2)
| ~ rp(X0,X3) ) )
| ~ cc2(X0) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f46,plain,
! [X0] :
( ( cc2(X0)
| ! [X1] : ~ rp(X0,X1)
| ? [X2,X3] :
( X2 != X3
& rp(X0,X2)
& rp(X0,X3) ) )
& ( ( ? [X1] : rp(X0,X1)
& ! [X2,X3] :
( X2 = X3
| ~ rp(X0,X2)
| ~ rp(X0,X3) ) )
| ~ cc2(X0) ) ),
inference(flattening,[],[f45]) ).
fof(f47,plain,
! [X0] :
( ( cc2(X0)
| ! [X1] : ~ rp(X0,X1)
| ? [X2,X3] :
( X2 != X3
& rp(X0,X2)
& rp(X0,X3) ) )
& ( ( ? [X4] : rp(X0,X4)
& ! [X5,X6] :
( X5 = X6
| ~ rp(X0,X5)
| ~ rp(X0,X6) ) )
| ~ cc2(X0) ) ),
inference(rectify,[],[f46]) ).
fof(f48,plain,
! [X0] :
( ( cc2(X0)
| ! [X1] : ~ rp(X0,X1)
| ( sK6(X0) != sK7(X0)
& rp(X0,sK6(X0))
& rp(X0,sK7(X0)) ) )
& ( ( rp(X0,sK8(X0))
& ! [X5,X6] :
( X5 = X6
| ~ rp(X0,X5)
| ~ rp(X0,X6) ) )
| ~ cc2(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X2,sK6(X0)),skolemize(X3,sK7(X0)),skolemize(X4,sK8(X0))],[f47]) ).
fof(f49,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f50,plain,
( xsd_string(sK1)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| cc2(sK2)
| cc1(sK2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f51,plain,
( xsd_string(sK1)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| ~ cc2(sK2)
| ~ cc1(sK2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f52,plain,
( xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0)
| ~ xsd_string(sK1)
| cc2(sK2)
| cc1(sK2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f53,plain,
( xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0)
| ~ xsd_string(sK1)
| ~ cc2(sK2)
| ~ cc1(sK2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f54,plain,
! [X0,X6,X5] :
( ~ rp(X0,X6)
| ~ rp(X0,X5)
| X5 = X6
| ~ cc1(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f55,plain,
! [X0] :
( rp(X0,sK5(X0))
| ~ cc1(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f56,plain,
! [X0,X1] :
( rp(X0,sK4(X0))
| ~ rp(X0,X1)
| cc1(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f57,plain,
! [X0,X1] :
( rp(X0,sK3(X0))
| ~ rp(X0,X1)
| cc1(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f58,plain,
! [X0,X1] :
( sK3(X0) != sK4(X0)
| ~ rp(X0,X1)
| cc1(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f60,plain,
! [X0,X6,X5] :
( ~ rp(X0,X6)
| ~ rp(X0,X5)
| X5 = X6
| ~ cc2(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f61,plain,
! [X0] :
( rp(X0,sK8(X0))
| ~ cc2(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f62,plain,
! [X0,X1] :
( rp(X0,sK7(X0))
| ~ rp(X0,X1)
| cc2(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f63,plain,
! [X0,X1] :
( rp(X0,sK6(X0))
| ~ rp(X0,X1)
| cc2(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f64,plain,
! [X0,X1] :
( sK6(X0) != sK7(X0)
| ~ rp(X0,X1)
| cc2(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f66,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f9]) ).
fof(f67,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f9]) ).
fof(f70,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f71,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f84,plain,
( ~ xsd_integer(sK1)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| ~ cc2(sK2)
| ~ cc1(sK2) ),
inference(resolution,[],[f70,f51]) ).
fof(f85,plain,
( ~ xsd_integer(sK1)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| cc2(sK2)
| cc1(sK2) ),
inference(resolution,[],[f70,f50]) ).
fof(f86,plain,
( ~ xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0)
| cc2(sK2)
| cc1(sK2) ),
inference(duplicate_literal_removal,[],[f85]) ).
fof(f87,plain,
( ~ xsd_integer(sK1)
| cowlNothing(sK0)
| ~ cowlThing(sK0)
| ~ cc2(sK2)
| ~ cc1(sK2) ),
inference(duplicate_literal_removal,[],[f84]) ).
fof(f88,plain,
( ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| cc2(sK2)
| cc1(sK2) ),
inference(forward_subsumption_resolution,[],[f86,f66]) ).
fof(f89,plain,
( ~ xsd_integer(sK1)
| ~ cowlThing(sK0)
| ~ cc2(sK2)
| ~ cc1(sK2) ),
inference(forward_subsumption_resolution,[],[f87,f66]) ).
fof(f90,plain,
( cc2(sK2)
| ~ xsd_integer(sK1)
| cc1(sK2) ),
inference(forward_subsumption_resolution,[],[f88,f67]) ).
fof(f91,plain,
( ~ xsd_integer(sK1)
| ~ cc2(sK2)
| ~ cc1(sK2) ),
inference(forward_subsumption_resolution,[],[f89,f67]) ).
fof(f93,plain,
( ~ cc2(sK2)
| ~ cc1(sK2)
| cowlNothing(sK0)
| ~ cowlThing(sK0)
| ~ xsd_string(sK1)
| ~ cc2(sK2)
| ~ cc1(sK2) ),
inference(resolution,[],[f91,f53]) ).
fof(f95,plain,
( ~ cc2(sK2)
| ~ cc1(sK2)
| cowlNothing(sK0)
| ~ cowlThing(sK0)
| ~ xsd_string(sK1) ),
inference(duplicate_literal_removal,[],[f93]) ).
fof(f96,plain,
( ~ cc2(sK2)
| ~ cc1(sK2)
| ~ cowlThing(sK0)
| ~ xsd_string(sK1) ),
inference(forward_subsumption_resolution,[],[f95,f66]) ).
fof(f97,plain,
( ~ xsd_string(sK1)
| ~ cc1(sK2)
| ~ cc2(sK2) ),
inference(forward_subsumption_resolution,[],[f96,f67]) ).
fof(f100,plain,
( ~ cc1(sK2)
| ~ cc2(sK2)
| xsd_integer(sK1) ),
inference(resolution,[],[f97,f71]) ).
fof(f102,plain,
( ~ cc2(sK2)
| ~ cc1(sK2) ),
inference(forward_subsumption_resolution,[],[f100,f91]) ).
fof(f107,plain,
! [X2,X0,X1] :
( sK6(X0) = X1
| ~ rp(X0,X1)
| ~ cc1(X0)
| ~ rp(X0,X2)
| cc2(X0) ),
inference(resolution,[],[f54,f63]) ).
fof(f108,plain,
! [X2,X0,X1] :
( sK7(X0) = X1
| ~ rp(X0,X1)
| ~ cc1(X0)
| ~ rp(X0,X2)
| cc2(X0) ),
inference(resolution,[],[f54,f62]) ).
fof(f112,plain,
! [X2,X0,X1] :
( sK3(X0) = X1
| ~ rp(X0,X1)
| ~ cc2(X0)
| ~ rp(X0,X2)
| cc1(X0) ),
inference(resolution,[],[f60,f57]) ).
fof(f113,plain,
! [X2,X0,X1] :
( sK4(X0) = X1
| ~ rp(X0,X1)
| ~ cc2(X0)
| ~ rp(X0,X2)
| cc1(X0) ),
inference(resolution,[],[f60,f56]) ).
fof(f133,plain,
! [X2,X3,X0,X1] :
( sK6(X1) != X0
| ~ rp(X1,X2)
| cc2(X1)
| ~ rp(X1,X0)
| ~ cc1(X1)
| ~ rp(X1,X3)
| cc2(X1) ),
inference(superposition,[],[f64,f108]) ).
fof(f136,plain,
! [X2,X3,X0,X1] :
( sK6(X1) != X0
| ~ rp(X1,X2)
| cc2(X1)
| ~ rp(X1,X0)
| ~ cc1(X1)
| ~ rp(X1,X3) ),
inference(duplicate_literal_removal,[],[f133]) ).
fof(f138,plain,
! [X2,X3,X0,X1] :
( ~ rp(X1,X3)
| cc2(X1)
| ~ rp(X1,X0)
| ~ cc1(X1)
| ~ rp(X1,X2) ),
inference(forward_subsumption_resolution,[],[f136,f107]) ).
fof(f149,plain,
! [X2,X0,X1] :
( ~ rp(X0,X2)
| cc2(X0)
| ~ cc1(X0)
| ~ rp(X0,X1) ),
inference(factoring,[],[f138]) ).
fof(f160,plain,
! [X0,X1] :
( ~ rp(X0,X1)
| cc2(X0)
| ~ cc1(X0) ),
inference(factoring,[],[f149]) ).
fof(f165,plain,
! [X2,X3,X0,X1] :
( sK3(X1) != X0
| ~ rp(X1,X2)
| cc1(X1)
| ~ rp(X1,X0)
| ~ cc2(X1)
| ~ rp(X1,X3)
| cc1(X1) ),
inference(superposition,[],[f58,f113]) ).
fof(f168,plain,
! [X2,X3,X0,X1] :
( sK3(X1) != X0
| ~ rp(X1,X2)
| cc1(X1)
| ~ rp(X1,X0)
| ~ cc2(X1)
| ~ rp(X1,X3) ),
inference(duplicate_literal_removal,[],[f165]) ).
fof(f170,plain,
! [X2,X3,X0,X1] :
( ~ rp(X1,X3)
| cc1(X1)
| ~ rp(X1,X0)
| ~ cc2(X1)
| ~ rp(X1,X2) ),
inference(forward_subsumption_resolution,[],[f168,f112]) ).
fof(f173,plain,
! [X0] :
( cc2(X0)
| ~ cc1(X0)
| ~ cc1(X0) ),
inference(resolution,[],[f160,f55]) ).
fof(f179,plain,
! [X0] :
( cc2(X0)
| ~ cc1(X0) ),
inference(duplicate_literal_removal,[],[f173]) ).
fof(f186,plain,
! [X2,X0,X1] :
( ~ rp(X0,X2)
| cc1(X0)
| ~ cc2(X0)
| ~ rp(X0,X1) ),
inference(factoring,[],[f170]) ).
fof(f191,plain,
( ~ cc1(sK2)
| ~ cc1(sK2) ),
inference(resolution,[],[f179,f102]) ).
fof(f192,plain,
~ cc1(sK2),
inference(duplicate_literal_removal,[],[f191]) ).
fof(f199,plain,
! [X0,X1] :
( ~ rp(X0,X1)
| cc1(X0)
| ~ cc2(X0) ),
inference(factoring,[],[f186]) ).
fof(f208,plain,
! [X0] :
( cc1(X0)
| ~ cc2(X0)
| ~ cc2(X0) ),
inference(resolution,[],[f199,f61]) ).
fof(f209,plain,
! [X0] :
( cc1(X0)
| ~ cc2(X0) ),
inference(duplicate_literal_removal,[],[f208]) ).
fof(f212,plain,
~ cc2(sK2),
inference(resolution,[],[f209,f192]) ).
fof(f213,plain,
( ~ xsd_integer(sK1)
| cc1(sK2) ),
inference(resolution,[],[f212,f90]) ).
fof(f215,plain,
~ xsd_integer(sK1),
inference(forward_subsumption_resolution,[],[f213,f192]) ).
fof(f217,plain,
( cowlNothing(sK0)
| ~ cowlThing(sK0)
| ~ xsd_string(sK1)
| cc2(sK2)
| cc1(sK2) ),
inference(resolution,[],[f215,f52]) ).
fof(f218,plain,
( cowlNothing(sK0)
| ~ cowlThing(sK0)
| ~ xsd_string(sK1)
| cc2(sK2) ),
inference(forward_subsumption_resolution,[],[f217,f179]) ).
fof(f219,plain,
( ~ cowlThing(sK0)
| ~ xsd_string(sK1)
| cc2(sK2) ),
inference(forward_subsumption_resolution,[],[f218,f66]) ).
fof(f220,plain,
( ~ xsd_string(sK1)
| cc2(sK2) ),
inference(forward_subsumption_resolution,[],[f219,f67]) ).
fof(f221,plain,
~ xsd_string(sK1),
inference(forward_subsumption_resolution,[],[f220,f212]) ).
fof(f224,plain,
xsd_integer(sK1),
inference(resolution,[],[f221,f71]) ).
fof(f225,plain,
$false,
inference(forward_subsumption_resolution,[],[f224,f215]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS167+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 13:38:02 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.41/1.16 % (2656994)Detected formulas, will run a generic FOF schedule.
% 2.41/1.16 % (2657003)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1674038139:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.41/1.16 % (2657003)First to succeed.
% 2.41/1.16 % (2657003)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2656994"
% 2.41/1.16 % (2657002)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1435013637:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.41/1.16 % (2656999)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=470545050:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.41/1.16 % (2657001)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=946979796:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.41/1.16 % (2657000)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=358780018:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.41/1.16 % (2657005)dis-21_1_sil=8000:lcm=predicate:random_seed=680542370: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)
% 2.41/1.16 % (2657004)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1095822205:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.41/1.16 % (2657002)Refutation not found, incomplete strategy
% 2.41/1.16 % (2657002)------------------------------
% 2.41/1.16 % (2657002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.41/1.16 % (2657002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/1.16 % (2657002)CaDiCaL version: 2.1.3
% 2.41/1.16 % (2657002)Termination reason: Refutation not found, incomplete strategy
% 2.41/1.16 % (2657002)Time elapsed: 0.002 s
% 2.41/1.16 % (2657002)Peak memory usage: 88 MB
% 2.41/1.16 % (2657002)Instructions burned: 1 (million)
% 2.41/1.16 % (2657005)Also succeeded, but the first one will report.
% 2.41/1.16 % (2657004)Also succeeded, but the first one will report.
% 2.41/1.16 % (2657003)Refutation found. Thanks to Tanya!
% 2.41/1.16 % SZS status Theorem for theBenchmark
% 2.41/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.69/1.27 % (2657003)------------------------------
% 2.69/1.27 % (2657003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.27 % (2657003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.27 % (2657003)CaDiCaL version: 2.1.3
% 2.69/1.27 % (2657003)Termination reason: Refutation
% 2.69/1.27 % (2657003)Time elapsed: 0.003 s
% 2.69/1.27 % (2657003)Peak memory usage: 88 MB
% 2.69/1.27 % (2657003)Instructions burned: 6 (million)
% 2.69/1.27 % (2657003)------------------------------
% 2.69/1.27 % (2657003)------------------------------
% 2.69/1.27 % (2656994)Success in time 0.31 s
% 2.69/1.27 % Vampire exiting
%------------------------------------------------------------------------------