%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET012+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 12:42:34 PM UTC 2026
% Result : Theorem 0.08s 15.94s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 14
% Syntax : Number of formulae : 115 ( 16 unt; 8 def)
% Number of atoms : 276 ( 4 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 278 ( 117 ~; 122 |; 23 &)
% ( 12 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 109 ( 0 sgn 102 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).
fof(f2,axiom,
! [X0,X1] :
( equal_set(X0,X1)
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',equal_set) ).
fof(f3,axiom,
! [X0,X1] :
( member(X0,power_set(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',power_set) ).
fof(f7,axiom,
! [X0,X1,X2] :
( member(X0,difference(X2,X1))
<=> ( member(X0,X2)
& ~ member(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',difference) ).
fof(f10,axiom,
! [X0,X1] :
( member(X0,sum(X1))
<=> ? [X2] :
( member(X2,X1)
& member(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',sum) ).
fof(f12,conjecture,
! [X0,X1] :
( subset(X0,X1)
=> equal_set(difference(X1,difference(X1,X0)),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI23) ).
fof(f13,negated_conjecture,
~ ! [X0,X1] :
( subset(X0,X1)
=> equal_set(difference(X1,difference(X1,X0)),X0) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
! [X0,X1] :
( ( subset(X0,X1)
& subset(X1,X0) )
=> equal_set(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f15,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f16,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f17,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(flattening,[],[f16]) ).
fof(f19,plain,
? [X0,X1] :
( ~ equal_set(difference(X1,difference(X1,X0)),X0)
& subset(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f20,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f21,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f20]) ).
fof(f22,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( ( member(X0,power_set(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ member(X0,power_set(X1)) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ( member(X0,difference(X2,X1))
| ~ member(X0,X2)
| member(X0,X1) )
& ( ( member(X0,X2)
& ~ member(X0,X1) )
| ~ member(X0,difference(X2,X1)) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( member(X0,difference(X2,X1))
| ~ member(X0,X2)
| member(X0,X1) )
& ( ( member(X0,X2)
& ~ member(X0,X1) )
| ~ member(X0,difference(X2,X1)) ) ),
inference(flattening,[],[f28]) ).
fof(f33,plain,
! [X0,X1] :
( ( member(X0,sum(X1))
| ! [X2] :
( ~ member(X2,X1)
| ~ member(X0,X2) ) )
& ( ? [X2] :
( member(X2,X1)
& member(X0,X2) )
| ~ member(X0,sum(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f34,plain,
! [X0,X1] :
( ( member(X0,sum(X1))
| ! [X2] :
( ~ member(X2,X1)
| ~ member(X0,X2) ) )
& ( ? [X3] :
( member(X3,X1)
& member(X0,X3) )
| ~ member(X0,sum(X1)) ) ),
inference(rectify,[],[f33]) ).
fof(f35,plain,
! [X0,X1] :
( ( member(X0,sum(X1))
| ! [X2] :
( ~ member(X2,X1)
| ~ member(X0,X2) ) )
& ( ( member(sK1(X0,X1),X1)
& member(X0,sK1(X0,X1)) )
| ~ member(X0,sum(X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1))],[f34]) ).
fof(f39,plain,
( ~ equal_set(difference(sK4,difference(sK4,sK3)),sK3)
& subset(sK3,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X0,sK3),skolemize(X1,sK4)],[f19]) ).
fof(f40,plain,
! [X3,X0,X1] :
( ~ member(X3,X0)
| member(X3,X1)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f41,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f42,plain,
! [X0,X1] :
( ~ member(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f43,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f44,plain,
! [X0,X1] :
( ~ member(X0,power_set(X1))
| subset(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f45,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| member(X0,power_set(X1)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ member(X0,difference(X2,X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ member(X0,difference(X2,X1))
| member(X0,X2) ),
inference(cnf_transformation,[],[f29]) ).
fof(f55,plain,
! [X2,X0,X1] :
( member(X0,difference(X2,X1))
| ~ member(X0,X2)
| member(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f61,plain,
! [X0,X1] :
( member(X0,sK1(X0,X1))
| ~ member(X0,sum(X1)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f62,plain,
! [X0,X1] :
( member(sK1(X0,X1),X1)
| ~ member(X0,sum(X1)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ member(X2,X1)
| member(X0,sum(X1))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f67,plain,
subset(sK3,sK4),
inference(cnf_transformation,[],[f39]) ).
fof(f68,plain,
~ equal_set(difference(sK4,difference(sK4,sK3)),sK3),
inference(cnf_transformation,[],[f39]) ).
fof(f72,definition,
sF5 = difference(sK4,sK3),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f73,plain,
difference(sK4,sK3) = sF5,
inference(reorient_equations,[],[f72]) ).
fof(f74,definition,
sF6 = difference(sK4,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f75,plain,
difference(sK4,sF5) = sF6,
inference(reorient_equations,[],[f74]) ).
fof(f76,plain,
~ equal_set(sF6,sK3),
inference(definition_folding,[],[f68,f75,f73]) ).
fof(f77,plain,
member(sK3,power_set(sK4)),
inference(resolution,[],[f45,f67]) ).
fof(f80,plain,
! [X0,X1] :
( member(sK0(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(resolution,[],[f41,f45]) ).
fof(f83,plain,
! [X0] :
( ~ member(X0,sF5)
| ~ member(X0,sK3) ),
inference(superposition,[],[f53,f73]) ).
fof(f84,plain,
! [X0] :
( ~ member(X0,sF6)
| ~ member(X0,sF5) ),
inference(superposition,[],[f53,f75]) ).
fof(f86,plain,
! [X0] :
( ~ member(X0,sF6)
| member(X0,sK4) ),
inference(superposition,[],[f54,f75]) ).
fof(f95,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| equal_set(X0,X1)
| member(sK0(X1,X0),X1) ),
inference(resolution,[],[f43,f41]) ).
fof(f106,plain,
! [X2,X0,X1] :
( ~ subset(sK1(X0,X1),X2)
| member(X0,X2)
| ~ member(X0,sum(X1)) ),
inference(resolution,[],[f61,f40]) ).
fof(f109,plain,
! [X0,X1] :
( subset(sK1(X0,power_set(X1)),X1)
| ~ member(X0,sum(power_set(X1))) ),
inference(resolution,[],[f62,f44]) ).
fof(f142,plain,
! [X0] :
( member(X0,sum(power_set(sK4)))
| ~ member(X0,sK3) ),
inference(resolution,[],[f63,f77]) ).
fof(f188,plain,
! [X0] :
( ~ member(X0,sK4)
| member(X0,sF5)
| member(X0,sK3) ),
inference(superposition,[],[f55,f73]) ).
fof(f189,plain,
! [X0] :
( ~ member(X0,sK4)
| member(X0,sF6)
| member(X0,sF5) ),
inference(superposition,[],[f55,f75]) ).
fof(f427,plain,
! [X0,X1] :
( equal_set(X0,X1)
| member(sK0(X1,X0),X1)
| member(sK0(X0,X1),X0) ),
inference(resolution,[],[f95,f41]) ).
fof(f503,plain,
! [X0,X1] :
( member(X0,X1)
| ~ member(X0,sum(power_set(X1)))
| ~ member(X0,sum(power_set(X1))) ),
inference(resolution,[],[f106,f109]) ).
fof(f505,plain,
! [X0,X1] :
( ~ member(X0,sum(power_set(X1)))
| member(X0,X1) ),
inference(duplicate_literal_removal,[],[f503]) ).
fof(f2149,plain,
! [X0] :
( ~ member(X0,sK3)
| member(X0,sK4) ),
inference(resolution,[],[f505,f142]) ).
fof(f4192,plain,
( member(sK0(sK3,sF6),sK3)
| member(sK0(sF6,sK3),sF6) ),
inference(resolution,[],[f427,f76]) ).
fof(f4194,definition,
( spl7_59
<=> member(sK0(sF6,sK3),sF6) ),
introduced(definition,[new_symbols(definition,[spl7_59])],[avatar_definition]) ).
fof(f4195,plain,
( ~ member(sK0(sF6,sK3),sF6)
| spl7_59 ),
inference(avatar_component_clause,[],[f4194]) ).
fof(f4196,plain,
( member(sK0(sF6,sK3),sF6)
| ~ spl7_59 ),
inference(avatar_component_clause,[],[f4194]) ).
fof(f4198,definition,
( spl7_60
<=> member(sK0(sK3,sF6),sK3) ),
introduced(definition,[new_symbols(definition,[spl7_60])],[avatar_definition]) ).
fof(f4199,plain,
( ~ member(sK0(sK3,sF6),sK3)
| spl7_60 ),
inference(avatar_component_clause,[],[f4198]) ).
fof(f4200,plain,
( member(sK0(sK3,sF6),sK3)
| ~ spl7_60 ),
inference(avatar_component_clause,[],[f4198]) ).
fof(f4201,plain,
( spl7_59
| spl7_60 ),
inference(avatar_split_clause,[],[f4192,f4198,f4194]) ).
fof(f4202,plain,
( member(sK0(sF6,sK3),sK4)
| ~ spl7_59 ),
inference(resolution,[],[f4196,f86]) ).
fof(f4203,plain,
( ~ member(sK0(sF6,sK3),sF5)
| ~ spl7_59 ),
inference(resolution,[],[f4196,f84]) ).
fof(f4240,plain,
( member(sK0(sF6,sK3),sF5)
| member(sK0(sF6,sK3),sK3)
| ~ spl7_59 ),
inference(resolution,[],[f4202,f188]) ).
fof(f4256,plain,
( member(sK0(sF6,sK3),sK3)
| ~ spl7_59 ),
inference(forward_subsumption_resolution,[],[f4240,f4203]) ).
fof(f4261,definition,
( spl7_62
<=> member(sK0(sF6,sK3),sK3) ),
introduced(definition,[new_symbols(definition,[spl7_62])],[avatar_definition]) ).
fof(f4263,plain,
( member(sK0(sF6,sK3),sK3)
| ~ spl7_62 ),
inference(avatar_component_clause,[],[f4261]) ).
fof(f4265,plain,
( spl7_62
| ~ spl7_59 ),
inference(avatar_split_clause,[],[f4256,f4194,f4261]) ).
fof(f4282,plain,
( member(sF6,power_set(sK3))
| spl7_59 ),
inference(resolution,[],[f4195,f80]) ).
fof(f4302,plain,
( subset(sF6,sK3)
| spl7_59 ),
inference(resolution,[],[f4282,f44]) ).
fof(f4331,definition,
( spl7_64
<=> subset(sK3,sF6) ),
introduced(definition,[new_symbols(definition,[spl7_64])],[avatar_definition]) ).
fof(f4332,plain,
( subset(sK3,sF6)
| ~ spl7_64 ),
inference(avatar_component_clause,[],[f4331]) ).
fof(f4333,plain,
( ~ subset(sK3,sF6)
| spl7_64 ),
inference(avatar_component_clause,[],[f4331]) ).
fof(f4355,plain,
( member(sK0(sK3,sF6),sK3)
| spl7_64 ),
inference(resolution,[],[f4333,f41]) ).
fof(f4358,plain,
( member(sK0(sK3,sF6),sK4)
| ~ spl7_60 ),
inference(resolution,[],[f4200,f2149]) ).
fof(f4395,plain,
( member(sK0(sK3,sF6),sF6)
| member(sK0(sK3,sF6),sF5)
| ~ spl7_60 ),
inference(resolution,[],[f4358,f189]) ).
fof(f4413,definition,
( spl7_65
<=> member(sK0(sK3,sF6),sF5) ),
introduced(definition,[new_symbols(definition,[spl7_65])],[avatar_definition]) ).
fof(f4415,plain,
( member(sK0(sK3,sF6),sF5)
| ~ spl7_65 ),
inference(avatar_component_clause,[],[f4413]) ).
fof(f4417,definition,
( spl7_66
<=> member(sK0(sK3,sF6),sF6) ),
introduced(definition,[new_symbols(definition,[spl7_66])],[avatar_definition]) ).
fof(f4419,plain,
( member(sK0(sK3,sF6),sF6)
| ~ spl7_66 ),
inference(avatar_component_clause,[],[f4417]) ).
fof(f4420,plain,
( spl7_65
| spl7_66
| ~ spl7_60 ),
inference(avatar_split_clause,[],[f4395,f4198,f4417,f4413]) ).
fof(f4428,plain,
( ~ member(sK0(sK3,sF6),sK3)
| ~ spl7_65 ),
inference(resolution,[],[f4415,f83]) ).
fof(f4444,plain,
( $false
| ~ spl7_60
| ~ spl7_65 ),
inference(forward_subsumption_resolution,[],[f4428,f4200]) ).
fof(f4445,plain,
( ~ spl7_60
| ~ spl7_65 ),
inference(avatar_contradiction_clause,[],[f4444]) ).
fof(f4446,plain,
( $false
| spl7_60
| spl7_64 ),
inference(forward_subsumption_resolution,[],[f4355,f4199]) ).
fof(f4447,plain,
( spl7_60
| spl7_64 ),
inference(avatar_contradiction_clause,[],[f4446]) ).
fof(f4473,plain,
( ~ subset(sF6,sK3)
| equal_set(sF6,sK3)
| ~ spl7_64 ),
inference(resolution,[],[f4332,f43]) ).
fof(f4475,plain,
( ~ subset(sF6,sK3)
| ~ spl7_64 ),
inference(forward_subsumption_resolution,[],[f4473,f76]) ).
fof(f4598,plain,
( subset(sF6,sK3)
| ~ spl7_62 ),
inference(resolution,[],[f4263,f42]) ).
fof(f4615,plain,
( $false
| ~ spl7_62
| ~ spl7_64 ),
inference(forward_subsumption_resolution,[],[f4598,f4475]) ).
fof(f4616,plain,
( ~ spl7_62
| ~ spl7_64 ),
inference(avatar_contradiction_clause,[],[f4615]) ).
fof(f4767,plain,
( subset(sK3,sF6)
| ~ spl7_66 ),
inference(resolution,[],[f4419,f42]) ).
fof(f4785,plain,
( $false
| spl7_64
| ~ spl7_66 ),
inference(forward_subsumption_resolution,[],[f4767,f4333]) ).
fof(f4786,plain,
( spl7_64
| ~ spl7_66 ),
inference(avatar_contradiction_clause,[],[f4785]) ).
fof(f4787,plain,
( $false
| spl7_59
| ~ spl7_64 ),
inference(forward_subsumption_resolution,[],[f4475,f4302]) ).
fof(f4788,plain,
( spl7_59
| ~ spl7_64 ),
inference(avatar_contradiction_clause,[],[f4787]) ).
cnf(s56,plain,
( spl7_59
| spl7_60 ),
inference(sat_conversion,[],[f4201]) ).
cnf(s58,plain,
( ~ spl7_59
| spl7_62 ),
inference(sat_conversion,[],[f4265]) ).
cnf(s60,plain,
( ~ spl7_60
| spl7_65
| spl7_66 ),
inference(sat_conversion,[],[f4420]) ).
cnf(s62,plain,
( ~ spl7_60
| ~ spl7_65 ),
inference(sat_conversion,[],[f4445]) ).
cnf(s64,plain,
( spl7_60
| spl7_64 ),
inference(sat_conversion,[],[f4447]) ).
cnf(s65,plain,
( ~ spl7_62
| ~ spl7_64 ),
inference(sat_conversion,[],[f4616]) ).
cnf(s66,plain,
( spl7_64
| ~ spl7_66 ),
inference(sat_conversion,[],[f4786]) ).
cnf(s67,plain,
( spl7_59
| ~ spl7_64 ),
inference(sat_conversion,[],[f4788]) ).
cnf(s68,plain,
spl7_59,
inference(rat,[],[s60,s62,s66,s56,s67]) ).
cnf(s69,plain,
spl7_62,
inference(rat,[],[s58,s68]) ).
cnf(s70,plain,
~ spl7_64,
inference(rat,[],[s65,s69]) ).
cnf(s71,plain,
~ spl7_66,
inference(rat,[],[s66,s70]) ).
cnf(s72,plain,
spl7_60,
inference(rat,[],[s64,s70]) ).
cnf(s73,plain,
~ spl7_65,
inference(rat,[],[s62,s72]) ).
cnf(s74,plain,
$false,
inference(rat,[],[s60,s71,s73,s72]) ).
fof(f4789,plain,
$false,
inference(avatar_sat_refutation,[],[s74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET012+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/15.55 % Computer : n012.cluster.edu
% 0.04/15.55 % Model : x86_64 x86_64
% 0.04/15.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/15.55 % Memory : 8046.5625MB
% 0.04/15.55 % OS : Linux 6.8.0-71-generic
% 0.04/15.55 % CPULimit : 300
% 0.04/15.55 % WCLimit : 300
% 0.04/15.55 % DateTime : Mon Sep 28 00:03:22 UTC 2026
% 0.04/15.55 % CPUTime :
% 0.04/15.55 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/15.57 Running first-order model finding
% 0.04/15.57 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
% 0.08/15.94 % (2891971)Will run a generic schedule for satisfiability detection.
% 0.08/15.94 % (2891977)% WARNING: option uhcvi not known.
% 0.08/15.94 % (2891978)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=770314115:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/15.94 % (2891977)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2763800027:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/15.94 % (2891976)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1056756165_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/15.94 % (2891979)dis+10_1_sil=32000:sp=arity:random_seed=114105695:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/15.94 % (2891980)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3503447847:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/15.94 % (2891981)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=360574168:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/15.94 % (2891982)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2408049891:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/15.94 % TRYING [1]
% 0.08/15.94 % TRYING [2]
% 0.08/15.94 % TRYING [3]
% 0.08/15.94 % TRYING [4]
% 0.08/15.94 % TRYING [5]
% 0.08/15.94 % TRYING [6]
% 0.08/15.94 % TRYING [7]
% 0.08/15.94 % (2891979)Instruction limit reached!
% 0.08/15.94 % (2891979)------------------------------
% 0.08/15.94 % (2891979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/15.94 % (2891979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/15.94 % (2891979)CaDiCaL version: 2.1.3
% 0.08/15.94 % (2891979)Termination reason: Instruction limit
% 0.08/15.94 % (2891979)Termination phase: Saturation
% 0.08/15.94 % (2891979)Time elapsed: 0.035 s
% 0.08/15.94 % (2891979)Peak memory usage: 12 MB
% 0.08/15.94 % (2891979)Instructions burned: 106 (million)
% 0.08/15.94 % (2891980)Instruction limit reached!
% 0.08/15.94 % (2891980)------------------------------
% 0.08/15.94 % (2891980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/15.94 % (2891980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/15.94 % (2891980)CaDiCaL version: 2.1.3
% 0.08/15.94 % (2891980)Termination reason: Instruction limit
% 0.08/15.94 % (2891980)Termination phase: Saturation
% 0.08/15.94 % (2891980)Time elapsed: 0.037 s
% 0.08/15.94 % (2891980)Peak memory usage: 12 MB
% 0.08/15.94 % (2891980)Instructions burned: 118 (million)
% 0.08/15.94 % (2891981)Instruction limit reached!
% 0.08/15.94 % (2891981)------------------------------
% 0.08/15.94 % (2891981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/15.94 % (2891981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/15.94 % (2891981)CaDiCaL version: 2.1.3
% 0.08/15.94 % (2891981)Termination reason: Instruction limit
% 0.08/15.94 % (2891981)Termination phase: Saturation
% 0.08/15.94 % (2891981)Time elapsed: 0.046 s
% 0.08/15.94 % (2891981)Peak memory usage: 14 MB
% 0.08/15.94 % (2891981)Instructions burned: 132 (million)
% 0.08/15.94 % (2891990)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1808876660:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.08/15.94 % (2891991)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1520223755:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/15.94 % TRYING [1]
% 0.08/15.94 % TRYING [2]
% 0.08/15.94 % TRYING [3]
% 0.08/15.94 % TRYING [4]
% 0.08/15.94 % (2891982)Instruction limit reached!
% 0.08/15.94 % (2891982)------------------------------
% 0.08/15.94 % (2891982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/15.94 % (2891982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/15.94 % (2891982)CaDiCaL version: 2.1.3
% 0.08/15.94 % (2891982)Termination reason: Instruction limit
% 0.08/15.94 % (2891982)Termination phase: Saturation
% 0.08/15.94 % (2891982)Time elapsed: 0.054 s
% 0.08/15.94 % (2891982)Peak memory usage: 14 MB
% 0.08/15.94 % (2891982)Instructions burned: 159 (million)
% 0.08/15.94 % TRYING [5]
% 0.08/15.94 % (2891992)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3107171329:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.08/15.94 % TRYING [6]
% 0.08/15.94 % (2891995)ott-21_1_sil=16000:fs=off:random_seed=719605716:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.08/15.94 % TRYING [8]
% 0.08/15.94 % TRYING [7]
% 0.08/15.94 % (2891991)Instruction limit reached!
% 0.08/15.94 % (2891991)------------------------------
% 0.08/15.94 % (2891991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/15.94 % (2891991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/15.94 % (2891991)CaDiCaL version: 2.1.3
% 0.08/15.94 % (2891991)Termination reason: Instruction limit
% 0.08/15.94 % (2891991)Termination phase: Saturation
% 0.08/15.94 % (2891991)Time elapsed: 0.047 s
% 0.08/15.94 % (2891991)Peak memory usage: 14 MB
% 0.08/15.94 % (2891991)Instructions burned: 133 (million)
% 0.08/15.94 % (2891998)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3681477786:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.08/15.94 % (2891995)Instruction limit reached!
% 0.08/15.94 % (2891995)------------------------------
% 0.08/15.94 % (2891995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/15.94 % (2891995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/15.94 % (2891995)CaDiCaL version: 2.1.3
% 0.08/15.94 % (2891995)Termination reason: Instruction limit
% 0.08/15.94 % (2891995)Termination phase: Saturation
% 0.08/15.94 % (2891995)Time elapsed: 0.053 s
% 0.08/15.94 % (2891995)Peak memory usage: 13 MB
% 0.08/15.94 % (2891995)Instructions burned: 184 (million)
% 0.08/15.94 % (2892000)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3240983587:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 0.08/15.94 % TRYING [1]
% 0.08/15.94 % TRYING [2]
% 0.08/15.94 % TRYING [3]
% 0.08/15.94 % TRYING [4]
% 0.08/15.94 % TRYING [5]
% 0.08/15.94 % TRYING [6]
% 0.08/15.94 % TRYING [7]
% 0.08/15.94 % TRYING [8]
% 0.08/15.94 % TRYING [9]
% 0.08/15.94 % TRYING [8]
% 0.08/15.94 % (2891990)Instruction limit reached!
% 0.08/15.94 % (2891990)------------------------------
% 0.08/15.94 % (2891990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/15.94 % (2891990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/15.94 % (2891990)CaDiCaL version: 2.1.3
% 0.08/15.94 % (2891990)Termination reason: Instruction limit
% 0.08/15.94 % (2891990)Termination phase: Finite model building SAT solving
% 0.08/15.94 % (2891990)Time elapsed: 0.193 s
% 0.08/15.94 % (2891990)Peak memory usage: 20 MB
% 0.08/15.94 % (2891990)Instructions burned: 714 (million)
% 0.08/15.94 % (2892002)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1326611905:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 0.08/15.94 % (2891992)Instruction limit reached!
% 0.08/15.94 % (2891992)------------------------------
% 0.08/15.94 % (2891992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/15.94 % (2891992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/15.94 % (2891992)CaDiCaL version: 2.1.3
% 0.08/15.94 % (2891992)Termination reason: Instruction limit
% 0.08/15.94 % (2891992)Termination phase: Saturation
% 0.08/15.94 % (2891992)Time elapsed: 0.213 s
% 0.08/15.94 % (2891992)Peak memory usage: 18 MB
% 0.08/15.94 % (2891992)Instructions burned: 684 (million)
% 0.08/15.94 % (2891998)Instruction limit reached!
% 0.08/15.94 % (2891998)------------------------------
% 0.08/15.94 % (2891998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/15.94 % (2891998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/15.94 % (2891998)CaDiCaL version: 2.1.3
% 0.08/15.94 % (2891998)Termination reason: Instruction limit
% 0.08/15.94 % (2891998)Termination phase: Saturation
% 0.08/15.94 % (2891998)Time elapsed: 0.163 s
% 0.08/15.94 % (2891998)Peak memory usage: 14 MB
% 0.08/15.94 % (2891998)Instructions burned: 480 (million)
% 0.08/15.94 % (2892004)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1896220397:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 0.08/15.94 % (2892005)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3498698798:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 0.08/15.94 % TRYING [14]
% 0.08/15.94 % (2892000)Instruction limit reached!
% 0.08/15.94 % (2892000)------------------------------
% 0.08/15.94 % (2892000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/15.94 % (2892000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/15.94 % (2892000)CaDiCaL version: 2.1.3
% 0.08/15.94 % (2892000)Termination reason: Instruction limit
% 0.08/15.94 % (2892000)Termination phase: Finite model building SAT solving
% 0.08/15.94 % (2892000)Time elapsed: 0.186 s
% 0.08/15.94 % (2892000)Peak memory usage: 17 MB
% 0.08/15.94 % (2892000)Instructions burned: 867 (million)
% 0.08/15.94 % (2892008)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2007033975:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 0.08/15.94 % (2892002) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2891971-2892002"...
% 0.08/15.94 % (2892002)...printing done.
% 0.08/15.94 % (2892002)Refutation found. Thanks to Tanya!
% 0.08/15.94 % SZS status Theorem for theBenchmark
% 0.08/15.94 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/15.94 % (2892002)------------------------------
% 0.08/15.94 % (2892002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/15.94 % (2892002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/15.94 % (2892002)CaDiCaL version: 2.1.3
% 0.08/15.94 % (2892002)Termination reason: Refutation
% 0.08/15.94 % (2892002)Time elapsed: 0.081 s
% 0.08/15.94 % (2892002)Peak memory usage: 15 MB
% 0.08/15.94 % (2892002)Instructions burned: 233 (million)
% 0.08/15.94 % (2891971)Success in time 0.371 s
% 0.08/15.94 % Vampire exiting
%------------------------------------------------------------------------------