%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS114+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 : 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 11:41:41 AM UTC 2026
% Result : Unsatisfiable 2.82s 1.29s
% Output : Refutation 3.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 12
% Syntax : Number of formulae : 89 ( 9 unt; 4 def)
% Number of atoms : 317 ( 20 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 379 ( 151 ~; 143 |; 67 &)
% ( 16 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 5 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-1 aty)
% Number of variables : 134 ( 0 sgn 104 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rr(X0,X1)
& ca_Ax4(X1) )
& ? [X1] :
( rs(X0,X1)
& ca_Ax3(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f26,axiom,
! [X0] :
( cp(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f27,axiom,
! [X0] :
( cpxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f30,axiom,
! [X0] :
( ca_Ax3(X0)
<=> ( cqxcomp(X0)
& cpxcomp(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f31,axiom,
! [X0] :
( ca_Ax4(X0)
<=> ( ! [X1,X2] :
( ( rinvR(X0,X1)
& rinvR(X0,X2) )
=> X1 = X2 )
& ? [X3] :
( rinvR(X0,X3)
& ca_Vx5(X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f32,axiom,
! [X0] :
( ca_Vx5(X0)
<=> ! [X1] :
( rs(X0,X1)
=> cp(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f33,axiom,
! [X0,X1] :
( rinvR(X0,X1)
<=> rr(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f34,axiom,
cUnsatisfiable(i2003_11_14_17_21_262),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f35,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rr(X0,X1)
& ca_Ax4(X1) )
& ? [X2] :
( rs(X0,X2)
& ca_Ax3(X2) ) ) ),
inference(rectify,[],[f25]) ).
fof(f80,plain,
! [X0] :
( cp(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f82,plain,
! [X0] :
( ca_Ax4(X0)
<=> ( ! [X1,X2] :
( X1 = X2
| ~ rinvR(X0,X1)
| ~ rinvR(X0,X2) )
& ? [X3] :
( rinvR(X0,X3)
& ca_Vx5(X3) ) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f83,plain,
! [X0] :
( ca_Ax4(X0)
<=> ( ! [X1,X2] :
( X1 = X2
| ~ rinvR(X0,X1)
| ~ rinvR(X0,X2) )
& ? [X3] :
( rinvR(X0,X3)
& ca_Vx5(X3) ) ) ),
inference(flattening,[],[f82]) ).
fof(f84,plain,
! [X0] :
( ca_Vx5(X0)
<=> ! [X1] :
( cp(X1)
| ~ rs(X0,X1) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f86,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ ca_Ax4(X1) )
| ! [X2] :
( ~ rs(X0,X2)
| ~ ca_Ax3(X2) ) )
& ( ( ? [X1] :
( rr(X0,X1)
& ca_Ax4(X1) )
& ? [X2] :
( rs(X0,X2)
& ca_Ax3(X2) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f87,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ ca_Ax4(X1) )
| ! [X2] :
( ~ rs(X0,X2)
| ~ ca_Ax3(X2) ) )
& ( ( ? [X1] :
( rr(X0,X1)
& ca_Ax4(X1) )
& ? [X2] :
( rs(X0,X2)
& ca_Ax3(X2) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f86]) ).
fof(f88,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ ca_Ax4(X1) )
| ! [X2] :
( ~ rs(X0,X2)
| ~ ca_Ax3(X2) ) )
& ( ( ? [X3] :
( rr(X0,X3)
& ca_Ax4(X3) )
& ? [X4] :
( rs(X0,X4)
& ca_Ax3(X4) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f87]) ).
fof(f89,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ ca_Ax4(X1) )
| ! [X2] :
( ~ rs(X0,X2)
| ~ ca_Ax3(X2) ) )
& ( ( rr(X0,sK0(X0))
& ca_Ax4(sK0(X0))
& rs(X0,sK1(X0))
& ca_Ax3(sK1(X0)) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X3,sK0(X0)),skolemize(X4,sK1(X0))],[f88]) ).
fof(f90,plain,
! [X0] :
( ( cp(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cp(X0) ) ),
inference(nnf_transformation,[],[f80]) ).
fof(f91,plain,
! [X0] :
( ( cp(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cp(X0) ) ),
inference(rectify,[],[f90]) ).
fof(f92,plain,
! [X0] :
( ( cp(X0)
| ra_Px1(X0,sK2(X0)) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cp(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f91]) ).
fof(f93,plain,
! [X0] :
( ( cpxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X1] : ra_Px1(X0,X1)
| ~ cpxcomp(X0) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f94,plain,
! [X0] :
( ( cpxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X2] : ra_Px1(X0,X2)
| ~ cpxcomp(X0) ) ),
inference(rectify,[],[f93]) ).
fof(f95,plain,
! [X0] :
( ( cpxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ra_Px1(X0,sK3(X0))
| ~ cpxcomp(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0))],[f94]) ).
fof(f102,plain,
! [X0] :
( ( ca_Ax3(X0)
| ~ cqxcomp(X0)
| ~ cpxcomp(X0) )
& ( ( cqxcomp(X0)
& cpxcomp(X0) )
| ~ ca_Ax3(X0) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f103,plain,
! [X0] :
( ( ca_Ax3(X0)
| ~ cqxcomp(X0)
| ~ cpxcomp(X0) )
& ( ( cqxcomp(X0)
& cpxcomp(X0) )
| ~ ca_Ax3(X0) ) ),
inference(flattening,[],[f102]) ).
fof(f104,plain,
! [X0] :
( ( ca_Ax4(X0)
| ? [X1,X2] :
( X1 != X2
& rinvR(X0,X1)
& rinvR(X0,X2) )
| ! [X3] :
( ~ rinvR(X0,X3)
| ~ ca_Vx5(X3) ) )
& ( ( ! [X1,X2] :
( X1 = X2
| ~ rinvR(X0,X1)
| ~ rinvR(X0,X2) )
& ? [X3] :
( rinvR(X0,X3)
& ca_Vx5(X3) ) )
| ~ ca_Ax4(X0) ) ),
inference(nnf_transformation,[],[f83]) ).
fof(f105,plain,
! [X0] :
( ( ca_Ax4(X0)
| ? [X1,X2] :
( X1 != X2
& rinvR(X0,X1)
& rinvR(X0,X2) )
| ! [X3] :
( ~ rinvR(X0,X3)
| ~ ca_Vx5(X3) ) )
& ( ( ! [X1,X2] :
( X1 = X2
| ~ rinvR(X0,X1)
| ~ rinvR(X0,X2) )
& ? [X3] :
( rinvR(X0,X3)
& ca_Vx5(X3) ) )
| ~ ca_Ax4(X0) ) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0] :
( ( ca_Ax4(X0)
| ? [X1,X2] :
( X1 != X2
& rinvR(X0,X1)
& rinvR(X0,X2) )
| ! [X3] :
( ~ rinvR(X0,X3)
| ~ ca_Vx5(X3) ) )
& ( ( ! [X4,X5] :
( X4 = X5
| ~ rinvR(X0,X4)
| ~ rinvR(X0,X5) )
& ? [X6] :
( rinvR(X0,X6)
& ca_Vx5(X6) ) )
| ~ ca_Ax4(X0) ) ),
inference(rectify,[],[f105]) ).
fof(f107,plain,
! [X0] :
( ( ca_Ax4(X0)
| ( sK6(X0) != sK7(X0)
& rinvR(X0,sK6(X0))
& rinvR(X0,sK7(X0)) )
| ! [X3] :
( ~ rinvR(X0,X3)
| ~ ca_Vx5(X3) ) )
& ( ( ! [X4,X5] :
( X4 = X5
| ~ rinvR(X0,X4)
| ~ rinvR(X0,X5) )
& rinvR(X0,sK8(X0))
& ca_Vx5(sK8(X0)) )
| ~ ca_Ax4(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X1,sK6(X0)),skolemize(X2,sK7(X0)),skolemize(X6,sK8(X0))],[f106]) ).
fof(f108,plain,
! [X0] :
( ( ca_Vx5(X0)
| ? [X1] :
( ~ cp(X1)
& rs(X0,X1) ) )
& ( ! [X1] :
( cp(X1)
| ~ rs(X0,X1) )
| ~ ca_Vx5(X0) ) ),
inference(nnf_transformation,[],[f84]) ).
fof(f109,plain,
! [X0] :
( ( ca_Vx5(X0)
| ? [X1] :
( ~ cp(X1)
& rs(X0,X1) ) )
& ( ! [X2] :
( cp(X2)
| ~ rs(X0,X2) )
| ~ ca_Vx5(X0) ) ),
inference(rectify,[],[f108]) ).
fof(f110,plain,
! [X0] :
( ( ca_Vx5(X0)
| ( ~ cp(sK9(X0))
& rs(X0,sK9(X0)) ) )
& ( ! [X2] :
( cp(X2)
| ~ rs(X0,X2) )
| ~ ca_Vx5(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X1,sK9(X0))],[f109]) ).
fof(f111,plain,
! [X0,X1] :
( ( rinvR(X0,X1)
| ~ rr(X1,X0) )
& ( rr(X1,X0)
| ~ rinvR(X0,X1) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f138,plain,
! [X0] :
( ca_Ax3(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f139,plain,
! [X0] :
( rs(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f140,plain,
! [X0] :
( ca_Ax4(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f141,plain,
! [X0] :
( rr(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f143,plain,
! [X2,X0] :
( ~ cp(X0)
| ~ ra_Px1(X0,X2) ),
inference(cnf_transformation,[],[f92]) ).
fof(f145,plain,
! [X0] :
( ra_Px1(X0,sK3(X0))
| ~ cpxcomp(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f151,plain,
! [X0] :
( cpxcomp(X0)
| ~ ca_Ax3(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f154,plain,
! [X0] :
( ca_Vx5(sK8(X0))
| ~ ca_Ax4(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f155,plain,
! [X0] :
( rinvR(X0,sK8(X0))
| ~ ca_Ax4(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f156,plain,
! [X0,X4,X5] :
( ~ ca_Ax4(X0)
| ~ rinvR(X0,X4)
| ~ rinvR(X0,X5)
| X4 = X5 ),
inference(cnf_transformation,[],[f107]) ).
fof(f160,plain,
! [X2,X0] :
( ~ ca_Vx5(X0)
| ~ rs(X0,X2)
| cp(X2) ),
inference(cnf_transformation,[],[f110]) ).
fof(f164,plain,
! [X0,X1] :
( rinvR(X0,X1)
| ~ rr(X1,X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f165,plain,
cUnsatisfiable(i2003_11_14_17_21_262),
inference(cnf_transformation,[],[f34]) ).
fof(f194,plain,
! [X0,X1] :
( ~ ca_Ax4(X0)
| cp(X1)
| ~ rs(sK8(X0),X1) ),
inference(resolution,[],[f160,f154]) ).
fof(f196,plain,
! [X2,X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ rinvR(sK0(X0),X2)
| X1 = X2
| ~ rinvR(sK0(X0),X1) ),
inference(resolution,[],[f156,f140]) ).
fof(f202,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X1)
| ~ rs(sK8(sK0(X1)),X0)
| cp(X0) ),
inference(resolution,[],[f194,f140]) ).
fof(f203,plain,
! [X0] :
( ~ rs(sK8(sK0(i2003_11_14_17_21_262)),X0)
| cp(X0) ),
inference(resolution,[],[f202,f165]) ).
fof(f204,plain,
! [X0,X1] :
( ~ rinvR(sK0(i2003_11_14_17_21_262),X0)
| X0 = X1
| ~ rinvR(sK0(i2003_11_14_17_21_262),X1) ),
inference(resolution,[],[f196,f165]) ).
fof(f205,plain,
( cp(sK1(sK8(sK0(i2003_11_14_17_21_262))))
| ~ cUnsatisfiable(sK8(sK0(i2003_11_14_17_21_262))) ),
inference(resolution,[],[f203,f139]) ).
fof(f209,definition,
( spl10_1
<=> cUnsatisfiable(sK8(sK0(i2003_11_14_17_21_262))) ),
introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).
fof(f211,plain,
( ~ cUnsatisfiable(sK8(sK0(i2003_11_14_17_21_262)))
| spl10_1 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f213,definition,
( spl10_2
<=> cp(sK1(sK8(sK0(i2003_11_14_17_21_262)))) ),
introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition]) ).
fof(f215,plain,
( cp(sK1(sK8(sK0(i2003_11_14_17_21_262))))
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f216,plain,
( ~ spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f205,f213,f209]) ).
fof(f222,plain,
! [X0] :
( sK8(sK0(i2003_11_14_17_21_262)) = X0
| ~ rinvR(sK0(i2003_11_14_17_21_262),X0)
| ~ ca_Ax4(sK0(i2003_11_14_17_21_262)) ),
inference(resolution,[],[f204,f155]) ).
fof(f225,definition,
( spl10_3
<=> ca_Ax4(sK0(i2003_11_14_17_21_262)) ),
introduced(definition,[new_symbols(definition,[spl10_3])],[avatar_definition]) ).
fof(f227,plain,
( ~ ca_Ax4(sK0(i2003_11_14_17_21_262))
| spl10_3 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f229,definition,
( spl10_4
<=> ! [X0] :
( sK8(sK0(i2003_11_14_17_21_262)) = X0
| ~ rinvR(sK0(i2003_11_14_17_21_262),X0) ) ),
introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition]) ).
fof(f230,plain,
( ! [X0] :
( ~ rinvR(sK0(i2003_11_14_17_21_262),X0)
| sK8(sK0(i2003_11_14_17_21_262)) = X0 )
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f231,plain,
( ~ spl10_3
| spl10_4 ),
inference(avatar_split_clause,[],[f222,f229,f225]) ).
fof(f248,plain,
( ! [X0] :
( ~ rr(X0,sK0(i2003_11_14_17_21_262))
| sK8(sK0(i2003_11_14_17_21_262)) = X0 )
| ~ spl10_4 ),
inference(resolution,[],[f230,f164]) ).
fof(f252,plain,
( i2003_11_14_17_21_262 = sK8(sK0(i2003_11_14_17_21_262))
| ~ cUnsatisfiable(i2003_11_14_17_21_262)
| ~ spl10_4 ),
inference(resolution,[],[f248,f141]) ).
fof(f254,plain,
( i2003_11_14_17_21_262 = sK8(sK0(i2003_11_14_17_21_262))
| ~ spl10_4 ),
inference(forward_subsumption_resolution,[],[f252,f165]) ).
fof(f258,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_262)
| spl10_1
| ~ spl10_4 ),
inference(superposition,[],[f211,f254]) ).
fof(f265,plain,
( $false
| spl10_1
| ~ spl10_4 ),
inference(forward_subsumption_resolution,[],[f258,f165]) ).
fof(f266,plain,
( spl10_1
| ~ spl10_4 ),
inference(avatar_contradiction_clause,[],[f265]) ).
fof(f268,plain,
( cp(sK1(i2003_11_14_17_21_262))
| ~ spl10_2
| ~ spl10_4 ),
inference(forward_demodulation,[],[f215,f254]) ).
fof(f272,plain,
( ! [X0] : ~ ra_Px1(sK1(i2003_11_14_17_21_262),X0)
| ~ spl10_2
| ~ spl10_4 ),
inference(resolution,[],[f268,f143]) ).
fof(f278,plain,
( ~ cpxcomp(sK1(i2003_11_14_17_21_262))
| ~ spl10_2
| ~ spl10_4 ),
inference(resolution,[],[f272,f145]) ).
fof(f280,plain,
( ~ ca_Ax3(sK1(i2003_11_14_17_21_262))
| ~ spl10_2
| ~ spl10_4 ),
inference(resolution,[],[f278,f151]) ).
fof(f282,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_262)
| ~ spl10_2
| ~ spl10_4 ),
inference(resolution,[],[f280,f138]) ).
fof(f284,plain,
( $false
| ~ spl10_2
| ~ spl10_4 ),
inference(forward_subsumption_resolution,[],[f282,f165]) ).
fof(f285,plain,
( ~ spl10_2
| ~ spl10_4 ),
inference(avatar_contradiction_clause,[],[f284]) ).
fof(f301,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_262)
| spl10_3 ),
inference(resolution,[],[f227,f140]) ).
fof(f302,plain,
( $false
| spl10_3 ),
inference(forward_subsumption_resolution,[],[f301,f165]) ).
fof(f303,plain,
spl10_3,
inference(avatar_contradiction_clause,[],[f302]) ).
cnf(s1,plain,
( ~ spl10_1
| spl10_2 ),
inference(sat_conversion,[],[f216]) ).
cnf(s2,plain,
( ~ spl10_3
| spl10_4 ),
inference(sat_conversion,[],[f231]) ).
cnf(s5,plain,
( spl10_1
| ~ spl10_4 ),
inference(sat_conversion,[],[f266]) ).
cnf(s6,plain,
( ~ spl10_2
| ~ spl10_4 ),
inference(sat_conversion,[],[f285]) ).
cnf(s10,plain,
spl10_3,
inference(sat_conversion,[],[f303]) ).
cnf(s12,plain,
spl10_4,
inference(rat,[],[s2,s10]) ).
cnf(s13,plain,
~ spl10_2,
inference(rat,[],[s6,s12]) ).
cnf(s14,plain,
spl10_1,
inference(rat,[],[s5,s12]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s1,s13,s14]) ).
fof(f304,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS114+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 : n008.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 13:26:54 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
% 2.82/1.29 % (1225702)Detected formulas, will run a generic FOF schedule.
% 2.82/1.29 % (1225710)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2569065679:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.82/1.29 % (1225710)Refutation not found, incomplete strategy
% 2.82/1.29 % (1225710)------------------------------
% 2.82/1.29 % (1225710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.29 % (1225710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.29 % (1225710)CaDiCaL version: 2.1.3
% 2.82/1.29 % (1225710)Termination reason: Refutation not found, incomplete strategy
% 2.82/1.29 % (1225710)Time elapsed: 0.0000 s
% 2.82/1.29 % (1225710)Peak memory usage: 86 MB
% 2.82/1.29 % (1225707)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=514850192:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.82/1.29 % (1225712)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3609591027:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.82/1.29 % (1225708)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=2328526597:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.82/1.29 % (1225713)dis-21_1_sil=8000:lcm=predicate:random_seed=892193394: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)
% 2.82/1.29 % (1225709)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=1135262641:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.82/1.29 % (1225711)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3104421635:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.82/1.29 % (1225711)Refutation not found, incomplete strategy
% 2.82/1.29 % (1225711)------------------------------
% 2.82/1.29 % (1225711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.29 % (1225711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.29 % (1225711)CaDiCaL version: 2.1.3
% 2.82/1.29 % (1225711)Termination reason: Refutation not found, incomplete strategy
% 2.82/1.29 % (1225711)Time elapsed: 0.001 s
% 2.82/1.29 % (1225711)Peak memory usage: 86 MB
% 2.82/1.29 % (1225713)Refutation not found, incomplete strategy
% 2.82/1.29 % (1225713)------------------------------
% 2.82/1.29 % (1225713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.29 % (1225713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.29 % (1225713)CaDiCaL version: 2.1.3
% 2.82/1.29 % (1225713)Termination reason: Refutation not found, incomplete strategy
% 2.82/1.29 % (1225713)Time elapsed: 0.003 s
% 2.82/1.29 % (1225713)Peak memory usage: 88 MB
% 2.82/1.29 % (1225713)Instructions burned: 3 (million)
% 2.82/1.29 % (1225712)First to succeed.
% 2.82/1.29 % (1225712)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1225702"
% 2.82/1.29 % (1225710)------------------------------
% 2.82/1.29 % (1225710)------------------------------
% 2.82/1.29 % (1225713)------------------------------
% 2.82/1.29 % (1225713)------------------------------
% 2.82/1.29 % (1225711)------------------------------
% 2.82/1.29 % (1225711)------------------------------
% 2.82/1.29 % (1225721)lrs+10_1_sil=8000:sp=occurrence:random_seed=2951016711:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.82/1.29 % (1225721)Refutation not found, incomplete strategy
% 2.82/1.29 % (1225721)------------------------------
% 2.82/1.29 % (1225721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.29 % (1225721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.29 % (1225721)CaDiCaL version: 2.1.3
% 2.82/1.29 % (1225721)Termination reason: Refutation not found, incomplete strategy
% 2.82/1.29 % (1225721)Time elapsed: 0.0000 s
% 2.82/1.29 % (1225721)Peak memory usage: 86 MB
% 2.82/1.29 % (1225712)Refutation found. Thanks to Tanya!
% 2.82/1.29 % SZS status Unsatisfiable for theBenchmark
% 2.82/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.63/1.49 % (1225712)------------------------------
% 3.63/1.49 % (1225712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.49 % (1225712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.49 % (1225712)CaDiCaL version: 2.1.3
% 3.63/1.49 % (1225712)Termination reason: Refutation
% 3.63/1.49 % (1225712)Time elapsed: 0.007 s
% 3.63/1.49 % (1225712)Peak memory usage: 90 MB
% 3.63/1.49 % (1225712)Instructions burned: 7 (million)
% 3.63/1.49 % (1225712)------------------------------
% 3.63/1.49 % (1225712)------------------------------
% 3.63/1.49 % (1225702)Success in time 0.432 s
% 3.63/1.49 % Vampire exiting
%------------------------------------------------------------------------------