%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PHI009+1 : TPTP v9.3.1. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 12:27:27 PM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 89 ( 10 unt; 7 def)
% Number of atoms : 390 ( 33 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 564 ( 263 ~; 252 |; 28 &)
% ( 10 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 8 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 121 ( 0 sgn 110 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( ( property(X0)
& property(X1)
& object(X2) )
=> ( ( is_the(X2,X0)
& exemplifies_property(X1,X2) )
<=> ? [X3] :
( object(X3)
& exemplifies_property(X0,X3)
& ! [X4] :
( object(X4)
=> ( exemplifies_property(X0,X4)
=> X4 = X3 ) )
& exemplifies_property(X1,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',description_axiom_schema_instance) ).
fof(f2,conjecture,
! [X0] :
( property(X0)
=> ( ? [X1] :
( object(X1)
& exemplifies_property(X0,X1)
& ! [X2] :
( object(X2)
=> ( exemplifies_property(X0,X2)
=> X2 = X1 ) ) )
=> ? [X3] :
( object(X3)
& is_the(X3,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',description_theorem_1) ).
fof(f3,negated_conjecture,
~ ! [X0] :
( property(X0)
=> ( ? [X1] :
( object(X1)
& exemplifies_property(X0,X1)
& ! [X2] :
( object(X2)
=> ( exemplifies_property(X0,X2)
=> X2 = X1 ) ) )
=> ? [X3] :
( object(X3)
& is_the(X3,X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f4,plain,
! [X0,X1,X2] :
( ( ( is_the(X2,X0)
& exemplifies_property(X1,X2) )
<=> ? [X3] :
( object(X3)
& exemplifies_property(X0,X3)
& ! [X4] :
( X4 = X3
| ~ exemplifies_property(X0,X4)
| ~ object(X4) )
& exemplifies_property(X1,X3) ) )
| ~ property(X0)
| ~ property(X1)
| ~ object(X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f5,plain,
! [X0,X1,X2] :
( ( ( is_the(X2,X0)
& exemplifies_property(X1,X2) )
<=> ? [X3] :
( object(X3)
& exemplifies_property(X0,X3)
& ! [X4] :
( X4 = X3
| ~ exemplifies_property(X0,X4)
| ~ object(X4) )
& exemplifies_property(X1,X3) ) )
| ~ property(X0)
| ~ property(X1)
| ~ object(X2) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
? [X0] :
( ! [X3] :
( ~ object(X3)
| ~ is_the(X3,X0) )
& ? [X1] :
( object(X1)
& exemplifies_property(X0,X1)
& ! [X2] :
( X2 = X1
| ~ exemplifies_property(X0,X2)
| ~ object(X2) ) )
& property(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f7,plain,
? [X0] :
( ! [X3] :
( ~ object(X3)
| ~ is_the(X3,X0) )
& ? [X1] :
( object(X1)
& exemplifies_property(X0,X1)
& ! [X2] :
( X2 = X1
| ~ exemplifies_property(X0,X2)
| ~ object(X2) ) )
& property(X0) ),
inference(flattening,[],[f6]) ).
fof(f9,plain,
! [X2,X3,X0,X1] :
( ~ property(X1)
| ~ property(X0)
| ~ object(X2)
| ~ exemplifies_property(X1,X3)
| object(sK1(X0,X3))
| ~ exemplifies_property(X0,X3)
| ~ object(X3)
| exemplifies_property(X1,X2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f10,plain,
! [X2,X3,X0,X1] :
( ~ property(X1)
| ~ property(X0)
| ~ object(X2)
| ~ exemplifies_property(X1,X3)
| exemplifies_property(X0,sK1(X0,X3))
| ~ exemplifies_property(X0,X3)
| ~ object(X3)
| exemplifies_property(X1,X2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f11,plain,
! [X2,X3,X0,X1] :
( ~ property(X1)
| ~ property(X0)
| ~ object(X2)
| ~ exemplifies_property(X1,X3)
| sK1(X0,X3) != X3
| ~ exemplifies_property(X0,X3)
| ~ object(X3)
| exemplifies_property(X1,X2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f12,plain,
! [X2,X3,X0,X1] :
( is_the(X2,X0)
| ~ property(X1)
| ~ property(X0)
| ~ exemplifies_property(X1,X3)
| object(sK1(X0,X3))
| ~ exemplifies_property(X0,X3)
| ~ object(X3)
| ~ object(X2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f14,plain,
! [X2,X3,X0,X1] :
( is_the(X2,X0)
| ~ property(X1)
| ~ property(X0)
| ~ exemplifies_property(X1,X3)
| sK1(X0,X3) != X3
| ~ exemplifies_property(X0,X3)
| ~ object(X3)
| ~ object(X2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f18,plain,
! [X2] :
( ~ object(X2)
| ~ exemplifies_property(sK2,X2)
| sK3 = X2 ),
inference(cnf_transformation,[],[f7]) ).
fof(f19,plain,
! [X3] :
( ~ is_the(X3,sK2)
| ~ object(X3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f20,plain,
exemplifies_property(sK2,sK3),
inference(cnf_transformation,[],[f7]) ).
fof(f21,plain,
object(sK3),
inference(cnf_transformation,[],[f7]) ).
fof(f22,plain,
property(sK2),
inference(cnf_transformation,[],[f7]) ).
fof(f24,plain,
! [X2,X0,X1] :
( ~ property(X0)
| ~ object(X1)
| ~ exemplifies_property(sK2,X2)
| object(sK1(X0,X2))
| ~ exemplifies_property(X0,X2)
| ~ object(X2)
| exemplifies_property(sK2,X1) ),
inference(resolution,[],[f9,f22]) ).
fof(f27,definition,
( spl4_1
<=> ! [X1] :
( ~ object(X1)
| exemplifies_property(sK2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f28,plain,
( ! [X1] :
( ~ object(X1)
| exemplifies_property(sK2,X1) )
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f30,definition,
( spl4_2
<=> ! [X2,X0] :
( ~ property(X0)
| ~ object(X2)
| ~ exemplifies_property(X0,X2)
| object(sK1(X0,X2))
| ~ exemplifies_property(sK2,X2) ) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f31,plain,
( ! [X2,X0] :
( ~ property(X0)
| ~ object(X2)
| ~ exemplifies_property(X0,X2)
| object(sK1(X0,X2))
| ~ exemplifies_property(sK2,X2) )
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f32,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f24,f30,f27]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ property(X0)
| ~ property(sK2)
| ~ exemplifies_property(X0,X1)
| object(sK1(sK2,X1))
| ~ exemplifies_property(sK2,X1)
| ~ object(X1)
| ~ object(X2)
| ~ object(X2) ),
inference(resolution,[],[f12,f19]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ property(X0)
| ~ property(sK2)
| ~ exemplifies_property(X0,X1)
| object(sK1(sK2,X1))
| ~ exemplifies_property(sK2,X1)
| ~ object(X1)
| ~ object(X2) ),
inference(duplicate_literal_removal,[],[f33]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ property(X0)
| ~ exemplifies_property(X0,X1)
| object(sK1(sK2,X1))
| ~ exemplifies_property(sK2,X1)
| ~ object(X1)
| ~ object(X2) ),
inference(forward_subsumption_resolution,[],[f40,f22]) ).
fof(f43,definition,
( spl4_3
<=> ! [X2] : ~ object(X2) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f44,plain,
( ! [X2] : ~ object(X2)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f46,definition,
( spl4_4
<=> ! [X0,X1] :
( ~ property(X0)
| ~ object(X1)
| ~ exemplifies_property(sK2,X1)
| object(sK1(sK2,X1))
| ~ exemplifies_property(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f47,plain,
( ! [X0,X1] :
( ~ property(X0)
| ~ object(X1)
| ~ exemplifies_property(sK2,X1)
| object(sK1(sK2,X1))
| ~ exemplifies_property(X0,X1) )
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f48,plain,
( spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f41,f46,f43]) ).
fof(f49,plain,
( $false
| ~ spl4_3 ),
inference(resolution,[],[f44,f21]) ).
fof(f50,plain,
~ spl4_3,
inference(avatar_contradiction_clause,[],[f49]) ).
fof(f53,plain,
( ! [X0] :
( ~ object(X0)
| ~ exemplifies_property(sK2,X0)
| object(sK1(sK2,X0))
| ~ exemplifies_property(sK2,X0) )
| ~ spl4_2 ),
inference(resolution,[],[f31,f22]) ).
fof(f54,plain,
( ! [X0] :
( object(sK1(sK2,X0))
| ~ exemplifies_property(sK2,X0)
| ~ object(X0) )
| ~ spl4_2 ),
inference(duplicate_literal_removal,[],[f53]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ property(X0)
| ~ object(X1)
| ~ exemplifies_property(X0,X2)
| exemplifies_property(sK2,sK1(sK2,X2))
| ~ exemplifies_property(sK2,X2)
| ~ object(X2)
| exemplifies_property(X0,X1) ),
inference(resolution,[],[f10,f22]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ property(X0)
| ~ object(X1)
| ~ exemplifies_property(sK2,X2)
| sK1(X0,X2) != X2
| ~ exemplifies_property(X0,X2)
| ~ object(X2)
| exemplifies_property(sK2,X1) ),
inference(resolution,[],[f11,f22]) ).
fof(f66,plain,
( ! [X0] :
( ~ object(X0)
| ~ exemplifies_property(sK2,X0)
| ~ exemplifies_property(sK2,sK1(sK2,X0))
| sK3 = sK1(sK2,X0) )
| ~ spl4_2 ),
inference(resolution,[],[f54,f18]) ).
fof(f83,plain,
! [X2,X0,X1] :
( ~ property(X0)
| ~ property(sK2)
| ~ exemplifies_property(X0,X1)
| sK1(sK2,X1) != X1
| ~ exemplifies_property(sK2,X1)
| ~ object(X1)
| ~ object(X2)
| ~ object(X2) ),
inference(resolution,[],[f14,f19]) ).
fof(f92,plain,
! [X2,X0,X1] :
( ~ property(X0)
| ~ property(sK2)
| ~ exemplifies_property(X0,X1)
| sK1(sK2,X1) != X1
| ~ exemplifies_property(sK2,X1)
| ~ object(X1)
| ~ object(X2) ),
inference(duplicate_literal_removal,[],[f83]) ).
fof(f93,plain,
( ! [X2,X0,X1] :
( ~ property(X0)
| ~ property(sK2)
| ~ exemplifies_property(X0,X1)
| sK1(sK2,X1) != X1
| ~ object(X1)
| ~ object(X2) )
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f92,f28]) ).
fof(f94,plain,
( ! [X2,X0,X1] :
( ~ property(X0)
| ~ exemplifies_property(X0,X1)
| sK1(sK2,X1) != X1
| ~ object(X1)
| ~ object(X2) )
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f93,f22]) ).
fof(f96,definition,
( spl4_6
<=> ! [X0,X1] :
( ~ property(X0)
| ~ object(X1)
| sK1(sK2,X1) != X1
| ~ exemplifies_property(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f97,plain,
( ! [X0,X1] :
( ~ property(X0)
| ~ object(X1)
| sK1(sK2,X1) != X1
| ~ exemplifies_property(X0,X1) )
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f98,plain,
( spl4_3
| spl4_6
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f94,f27,f96,f43]) ).
fof(f99,plain,
( ! [X0] :
( ~ object(X0)
| sK1(sK2,X0) != X0
| ~ exemplifies_property(sK2,X0) )
| ~ spl4_6 ),
inference(resolution,[],[f97,f22]) ).
fof(f104,plain,
( ! [X0] :
( ~ object(X0)
| ~ exemplifies_property(sK2,X0)
| object(sK1(sK2,X0))
| ~ exemplifies_property(sK2,X0) )
| ~ spl4_4 ),
inference(resolution,[],[f47,f22]) ).
fof(f105,plain,
( ! [X0] :
( ~ object(X0)
| ~ exemplifies_property(sK2,X0)
| object(sK1(sK2,X0)) )
| ~ spl4_4 ),
inference(duplicate_literal_removal,[],[f104]) ).
fof(f112,plain,
! [X0,X1] :
( ~ object(X0)
| ~ exemplifies_property(sK2,X1)
| exemplifies_property(sK2,sK1(sK2,X1))
| ~ exemplifies_property(sK2,X1)
| ~ object(X1)
| exemplifies_property(sK2,X0) ),
inference(resolution,[],[f56,f22]) ).
fof(f113,plain,
! [X0,X1] :
( ~ object(X0)
| ~ exemplifies_property(sK2,X1)
| exemplifies_property(sK2,sK1(sK2,X1))
| ~ object(X1)
| exemplifies_property(sK2,X0) ),
inference(duplicate_literal_removal,[],[f112]) ).
fof(f134,definition,
( spl4_9
<=> ! [X2,X0] :
( ~ property(X0)
| ~ object(X2)
| ~ exemplifies_property(X0,X2)
| sK1(X0,X2) != X2
| ~ exemplifies_property(sK2,X2) ) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f135,plain,
( ! [X2,X0] :
( ~ property(X0)
| ~ object(X2)
| ~ exemplifies_property(X0,X2)
| sK1(X0,X2) != X2
| ~ exemplifies_property(sK2,X2) )
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f136,plain,
( spl4_1
| spl4_9 ),
inference(avatar_split_clause,[],[f62,f134,f27]) ).
fof(f139,definition,
( spl4_10
<=> ! [X1] :
( ~ exemplifies_property(sK2,X1)
| ~ object(X1)
| exemplifies_property(sK2,sK1(sK2,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).
fof(f140,plain,
( ! [X1] :
( ~ object(X1)
| ~ exemplifies_property(sK2,X1)
| exemplifies_property(sK2,sK1(sK2,X1)) )
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f141,plain,
( spl4_10
| spl4_1 ),
inference(avatar_split_clause,[],[f113,f27,f139]) ).
fof(f150,plain,
( sK3 != sK1(sK2,sK3)
| ~ exemplifies_property(sK2,sK3)
| ~ spl4_6 ),
inference(resolution,[],[f99,f21]) ).
fof(f153,plain,
( sK3 != sK1(sK2,sK3)
| ~ spl4_6 ),
inference(forward_subsumption_resolution,[],[f150,f20]) ).
fof(f156,plain,
( ! [X0] :
( ~ object(X0)
| ~ exemplifies_property(sK2,X0)
| sK1(sK2,X0) != X0
| ~ exemplifies_property(sK2,X0) )
| ~ spl4_9 ),
inference(resolution,[],[f135,f22]) ).
fof(f157,plain,
( ! [X0] :
( ~ object(X0)
| ~ exemplifies_property(sK2,X0)
| sK1(sK2,X0) != X0 )
| ~ spl4_9 ),
inference(duplicate_literal_removal,[],[f156]) ).
fof(f158,plain,
( ~ exemplifies_property(sK2,sK3)
| exemplifies_property(sK2,sK1(sK2,sK3))
| ~ spl4_10 ),
inference(resolution,[],[f140,f21]) ).
fof(f161,plain,
( exemplifies_property(sK2,sK1(sK2,sK3))
| ~ spl4_10 ),
inference(forward_subsumption_resolution,[],[f158,f20]) ).
fof(f241,plain,
( ~ exemplifies_property(sK2,sK3)
| ~ exemplifies_property(sK2,sK1(sK2,sK3))
| sK3 = sK1(sK2,sK3)
| ~ spl4_2 ),
inference(resolution,[],[f66,f21]) ).
fof(f244,plain,
( ~ exemplifies_property(sK2,sK1(sK2,sK3))
| sK3 = sK1(sK2,sK3)
| ~ spl4_2 ),
inference(forward_subsumption_resolution,[],[f241,f20]) ).
fof(f246,plain,
( sK3 = sK1(sK2,sK3)
| ~ spl4_2
| ~ spl4_10 ),
inference(forward_subsumption_resolution,[],[f244,f161]) ).
fof(f249,plain,
( ! [X0] :
( object(sK1(sK2,X0))
| ~ object(X0) )
| ~ spl4_1
| ~ spl4_4 ),
inference(forward_subsumption_resolution,[],[f105,f28]) ).
fof(f255,plain,
( ! [X0] :
( ~ object(X0)
| ~ exemplifies_property(sK2,sK1(sK2,X0))
| sK3 = sK1(sK2,X0) )
| ~ spl4_1
| ~ spl4_4 ),
inference(resolution,[],[f249,f18]) ).
fof(f256,plain,
( ! [X0] :
( ~ object(X0)
| exemplifies_property(sK2,sK1(sK2,X0)) )
| ~ spl4_1
| ~ spl4_4 ),
inference(resolution,[],[f249,f28]) ).
fof(f259,plain,
( ! [X0] :
( ~ object(X0)
| sK3 = sK1(sK2,X0) )
| ~ spl4_1
| ~ spl4_4 ),
inference(forward_subsumption_resolution,[],[f255,f256]) ).
fof(f279,plain,
( sK3 = sK1(sK2,sK3)
| ~ spl4_1
| ~ spl4_4 ),
inference(resolution,[],[f259,f21]) ).
fof(f281,plain,
( $false
| ~ spl4_1
| ~ spl4_4
| ~ spl4_6 ),
inference(forward_subsumption_resolution,[],[f279,f153]) ).
fof(f282,plain,
( ~ spl4_1
| ~ spl4_4
| ~ spl4_6 ),
inference(avatar_contradiction_clause,[],[f281]) ).
fof(f298,plain,
( ~ exemplifies_property(sK2,sK3)
| sK3 != sK1(sK2,sK3)
| ~ spl4_9 ),
inference(resolution,[],[f157,f21]) ).
fof(f301,plain,
( sK3 != sK1(sK2,sK3)
| ~ spl4_9 ),
inference(forward_subsumption_resolution,[],[f298,f20]) ).
fof(f302,plain,
( $false
| ~ spl4_2
| ~ spl4_9
| ~ spl4_10 ),
inference(forward_subsumption_resolution,[],[f301,f246]) ).
fof(f303,plain,
( ~ spl4_2
| ~ spl4_9
| ~ spl4_10 ),
inference(avatar_contradiction_clause,[],[f302]) ).
cnf(s1,plain,
( spl4_1
| spl4_2 ),
inference(sat_conversion,[],[f32]) ).
cnf(s2,plain,
( spl4_3
| spl4_4 ),
inference(sat_conversion,[],[f48]) ).
cnf(s3,plain,
~ spl4_3,
inference(sat_conversion,[],[f50]) ).
cnf(s5,plain,
( ~ spl4_1
| spl4_3
| spl4_6 ),
inference(sat_conversion,[],[f98]) ).
cnf(s8,plain,
( spl4_1
| spl4_9 ),
inference(sat_conversion,[],[f136]) ).
cnf(s9,plain,
( spl4_1
| spl4_10 ),
inference(sat_conversion,[],[f141]) ).
cnf(s24,plain,
( ~ spl4_1
| ~ spl4_4
| ~ spl4_6 ),
inference(sat_conversion,[],[f282]) ).
cnf(s25,plain,
( ~ spl4_2
| ~ spl4_9
| ~ spl4_10 ),
inference(sat_conversion,[],[f303]) ).
cnf(s37,plain,
spl4_4,
inference(rat,[],[s2,s3]) ).
cnf(s38,plain,
spl4_1,
inference(rat,[],[s25,s1,s8,s9]) ).
cnf(s39,plain,
~ spl4_6,
inference(rat,[],[s24,s37,s38]) ).
cnf(s42,plain,
$false,
inference(rat,[],[s5,s3,s39,s38]) ).
fof(f304,plain,
$false,
inference(avatar_sat_refutation,[],[s42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI009+1 : TPTP v9.3.1. Released v7.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n020.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 22:07:49 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.45 % (3804450)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (3804459)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1982586121:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45 % (3804456)% WARNING: option uhcvi not known.
% 0.11/0.45 % (3804459) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3804450-3804459"...
% 0.11/0.45 % (3804456)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=647687672:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.45 % (3804457)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3385862808:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.45 % (3804458)dis+10_1_sil=32000:sp=arity:random_seed=888165457:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.45 % (3804460)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1202670006:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.45 % (3804461)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2087060010:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.45 % (3804459)...printing done.
% 0.11/0.45 % (3804459)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (3804459)------------------------------
% 0.11/0.45 % (3804459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (3804459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (3804459)CaDiCaL version: 2.1.3
% 0.11/0.45 % (3804459)Termination reason: Refutation
% 0.11/0.45 % (3804459)Time elapsed: 0.007 s
% 0.11/0.45 % (3804459)Peak memory usage: 12 MB
% 0.11/0.45 % (3804459)Instructions burned: 18 (million)
% 0.11/0.45 % (3804450)Success in time 0.038 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------