%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET159+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 12:40:20 PM UTC 2026
% Result : Theorem 3.93s 1.57s
% Output : Refutation 5.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 14
% Syntax : Number of formulae : 100 ( 13 unt; 10 def)
% Number of atoms : 234 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 223 ( 89 ~; 106 |; 12 &)
% ( 14 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 14 ( 13 usr; 11 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 58 ( 0 sgn 53 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
fof(f2,axiom,
! [X0,X1] :
( equal_set(X0,X1)
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_set) ).
fof(f5,axiom,
! [X0,X1,X2] :
( member(X0,union(X1,X2))
<=> ( member(X0,X1)
| member(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
fof(f12,conjecture,
! [X0,X1,X2] : equal_set(union(union(X0,X1),X2),union(X0,union(X1,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI09) ).
fof(f13,negated_conjecture,
~ ! [X0,X1,X2] : equal_set(union(union(X0,X1),X2),union(X0,union(X1,X2))),
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,X2] : ~ equal_set(union(union(X0,X1),X2),union(X0,union(X1,X2))),
inference(ennf_transformation,[],[f13]) ).
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(f18,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f19,plain,
~ equal_set(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f15]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ( member(X0,union(X1,X2))
| ( ~ member(X0,X1)
& ~ member(X0,X2) ) )
& ( member(X0,X1)
| member(X0,X2)
| ~ member(X0,union(X1,X2)) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ( member(X0,union(X1,X2))
| ( ~ member(X0,X1)
& ~ member(X0,X2) ) )
& ( member(X0,X1)
| member(X0,X2)
| ~ member(X0,union(X1,X2)) ) ),
inference(flattening,[],[f20]) ).
fof(f22,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,[],[f18]) ).
fof(f23,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,[],[f22]) ).
fof(f24,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK3(X0,X1),X1)
& member(sK3(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f23]) ).
fof(f26,plain,
~ equal_set(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),
inference(cnf_transformation,[],[f19]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ member(X0,union(X1,X2))
| member(X0,X2)
| member(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f28,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f21]) ).
fof(f29,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f30,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f33,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f39,plain,
( ~ subset(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2)))
| ~ subset(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)) ),
inference(resolution,[],[f30,f26]) ).
fof(f41,definition,
( spl4_1
<=> subset(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f42,plain,
( ~ subset(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2))
| spl4_1 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f44,definition,
( spl4_2
<=> subset(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f45,plain,
( ~ subset(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2)))
| spl4_2 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f46,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f39,f44,f41]) ).
fof(f61,definition,
( spl4_3
<=> member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),sK0) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f62,plain,
( member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),sK0)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f64,definition,
( spl4_4
<=> member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),union(sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f65,plain,
( member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),union(sK1,sK2))
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f67,plain,
( ~ member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),union(sK0,union(sK1,sK2)))
| spl4_2 ),
inference(resolution,[],[f45,f33]) ).
fof(f68,plain,
( member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),union(union(sK0,sK1),sK2))
| spl4_2 ),
inference(resolution,[],[f45,f32]) ).
fof(f70,plain,
( ~ member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),sK0)
| spl4_2 ),
inference(resolution,[],[f67,f29]) ).
fof(f71,plain,
( ~ member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),union(sK1,sK2))
| spl4_2 ),
inference(resolution,[],[f67,f28]) ).
fof(f72,plain,
( member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),sK2)
| member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),union(sK0,sK1))
| spl4_2 ),
inference(resolution,[],[f68,f27]) ).
fof(f74,definition,
( spl4_5
<=> member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),union(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f75,plain,
( member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),union(sK0,sK1))
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f77,definition,
( spl4_6
<=> member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),sK2) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f78,plain,
( member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),sK2)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f79,plain,
( spl4_5
| spl4_6
| spl4_2 ),
inference(avatar_split_clause,[],[f72,f44,f77,f74]) ).
fof(f81,plain,
( ~ member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),sK2)
| spl4_2 ),
inference(resolution,[],[f71,f28]) ).
fof(f84,definition,
( spl4_7
<=> member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),sK0) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f85,plain,
( member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),sK0)
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f87,definition,
( spl4_8
<=> member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),sK1) ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
fof(f88,plain,
( member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),sK1)
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f90,plain,
( $false
| spl4_2
| ~ spl4_6 ),
inference(resolution,[],[f81,f78]) ).
fof(f91,plain,
( spl4_2
| ~ spl4_6 ),
inference(avatar_contradiction_clause,[],[f90]) ).
fof(f92,plain,
( $false
| spl4_2
| ~ spl4_7 ),
inference(resolution,[],[f85,f70]) ).
fof(f93,plain,
( spl4_2
| ~ spl4_7 ),
inference(avatar_contradiction_clause,[],[f92]) ).
fof(f94,plain,
( ~ member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),union(union(sK0,sK1),sK2))
| spl4_1 ),
inference(resolution,[],[f42,f33]) ).
fof(f97,plain,
( ~ member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),union(sK0,sK1))
| spl4_1 ),
inference(resolution,[],[f94,f29]) ).
fof(f101,plain,
( member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),sK1)
| member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),sK0)
| ~ spl4_5 ),
inference(resolution,[],[f75,f27]) ).
fof(f102,plain,
( ~ member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),sK0)
| spl4_1 ),
inference(resolution,[],[f97,f29]) ).
fof(f104,plain,
( $false
| spl4_1
| ~ spl4_3 ),
inference(resolution,[],[f102,f62]) ).
fof(f105,plain,
( spl4_1
| ~ spl4_3 ),
inference(avatar_contradiction_clause,[],[f104]) ).
fof(f109,definition,
( spl4_9
<=> member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),sK1) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f110,plain,
( member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),sK1)
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f112,definition,
( spl4_10
<=> member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),sK2) ),
introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).
fof(f113,plain,
( member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),sK2)
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f115,plain,
( spl4_7
| spl4_8
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f101,f74,f87,f84]) ).
fof(f116,plain,
( ~ member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),union(sK0,union(sK1,sK2)))
| spl4_2 ),
inference(resolution,[],[f45,f33]) ).
fof(f120,plain,
( ~ member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),union(sK1,sK2))
| spl4_2 ),
inference(resolution,[],[f116,f28]) ).
fof(f122,plain,
( ~ member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),sK1)
| spl4_2 ),
inference(resolution,[],[f120,f29]) ).
fof(f124,plain,
( $false
| spl4_2
| ~ spl4_8 ),
inference(resolution,[],[f122,f88]) ).
fof(f125,plain,
( spl4_2
| ~ spl4_8 ),
inference(avatar_contradiction_clause,[],[f124]) ).
fof(f126,plain,
( ~ member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),union(union(sK0,sK1),sK2))
| spl4_1 ),
inference(resolution,[],[f42,f33]) ).
fof(f127,plain,
( member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),union(sK0,union(sK1,sK2)))
| spl4_1 ),
inference(resolution,[],[f42,f32]) ).
fof(f133,plain,
( ~ member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),union(sK0,sK1))
| spl4_1 ),
inference(resolution,[],[f126,f29]) ).
fof(f134,plain,
( ~ member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),sK2)
| spl4_1 ),
inference(resolution,[],[f126,f28]) ).
fof(f135,plain,
( member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),union(sK1,sK2))
| member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),sK0)
| spl4_1 ),
inference(resolution,[],[f127,f27]) ).
fof(f136,plain,
( spl4_3
| spl4_4
| spl4_1 ),
inference(avatar_split_clause,[],[f135,f41,f64,f61]) ).
fof(f137,plain,
( member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),sK2)
| member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),sK1)
| ~ spl4_4 ),
inference(resolution,[],[f65,f27]) ).
fof(f139,plain,
( ~ member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),sK1)
| spl4_1 ),
inference(resolution,[],[f133,f28]) ).
fof(f140,plain,
( $false
| spl4_1
| ~ spl4_9 ),
inference(resolution,[],[f139,f110]) ).
fof(f141,plain,
( spl4_1
| ~ spl4_9 ),
inference(avatar_contradiction_clause,[],[f140]) ).
fof(f142,plain,
( spl4_9
| spl4_10
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f137,f64,f112,f109]) ).
fof(f143,plain,
( $false
| spl4_1
| ~ spl4_10 ),
inference(resolution,[],[f113,f134]) ).
fof(f144,plain,
( spl4_1
| ~ spl4_10 ),
inference(avatar_contradiction_clause,[],[f143]) ).
cnf(s1,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(sat_conversion,[],[f46]) ).
cnf(s3,plain,
( spl4_2
| spl4_5
| spl4_6 ),
inference(sat_conversion,[],[f79]) ).
cnf(s5,plain,
( spl4_2
| ~ spl4_6 ),
inference(sat_conversion,[],[f91]) ).
cnf(s6,plain,
( spl4_2
| ~ spl4_7 ),
inference(sat_conversion,[],[f93]) ).
cnf(s7,plain,
( spl4_1
| ~ spl4_3 ),
inference(sat_conversion,[],[f105]) ).
cnf(s10,plain,
( ~ spl4_5
| spl4_7
| spl4_8 ),
inference(sat_conversion,[],[f115]) ).
cnf(s11,plain,
( spl4_2
| ~ spl4_8 ),
inference(sat_conversion,[],[f125]) ).
cnf(s12,plain,
( spl4_1
| spl4_3
| spl4_4 ),
inference(sat_conversion,[],[f136]) ).
cnf(s13,plain,
( spl4_1
| ~ spl4_9 ),
inference(sat_conversion,[],[f141]) ).
cnf(s14,plain,
( ~ spl4_4
| spl4_9
| spl4_10 ),
inference(sat_conversion,[],[f142]) ).
cnf(s15,plain,
( spl4_1
| ~ spl4_10 ),
inference(sat_conversion,[],[f144]) ).
cnf(s16,plain,
spl4_1,
inference(rat,[],[s12,s14,s7,s13,s15]) ).
cnf(s17,plain,
~ spl4_2,
inference(rat,[],[s1,s16]) ).
cnf(s18,plain,
~ spl4_8,
inference(rat,[],[s11,s17]) ).
cnf(s19,plain,
~ spl4_7,
inference(rat,[],[s6,s17]) ).
cnf(s20,plain,
~ spl4_6,
inference(rat,[],[s5,s17]) ).
cnf(s21,plain,
~ spl4_5,
inference(rat,[],[s10,s18,s19]) ).
cnf(s22,plain,
$false,
inference(rat,[],[s3,s17,s21,s20]) ).
fof(f145,plain,
$false,
inference(avatar_sat_refutation,[],[s22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET159+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 % Computer : n020.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 28 00:57:35 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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
% 3.93/1.57 % (3933940)Detected formulas, will run a generic FOF schedule.
% 3.93/1.57 % (3933957)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1131203829:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.93/1.57 % (3933957)Instruction limit reached!
% 3.93/1.57 % (3933957)------------------------------
% 3.93/1.57 % (3933957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.93/1.57 % (3933957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/1.57 % (3933957)CaDiCaL version: 2.1.3
% 3.93/1.57 % (3933957)Termination reason: Instruction limit
% 3.93/1.57 % (3933957)Termination phase: Saturation
% 3.93/1.57 % (3933957)Time elapsed: 0.057 s
% 3.93/1.57 % (3933957)Peak memory usage: 89 MB
% 3.93/1.57 % (3933957)Instructions burned: 119 (million)
% 3.93/1.57 % (3933959)dis-21_1_sil=8000:lcm=predicate:random_seed=3468173656: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)
% 3.93/1.57 % (3933953)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=3070816081:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.93/1.57 % (3933958)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1869365321:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.93/1.57 % (3933956)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3059078454:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.93/1.57 % (3933954)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=2446935145:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.93/1.57 % (3933956)Refutation not found, incomplete strategy
% 3.93/1.57 % (3933956)------------------------------
% 3.93/1.57 % (3933956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.93/1.57 % (3933956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/1.57 % (3933956)CaDiCaL version: 2.1.3
% 3.93/1.57 % (3933956)Termination reason: Refutation not found, incomplete strategy
% 3.93/1.57 % (3933956)Time elapsed: 0.001 s
% 3.93/1.57 % (3933956)Peak memory usage: 87 MB
% 3.93/1.57 % (3933959)First to succeed.
% 3.93/1.57 % (3933955)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=150976323:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.93/1.57 % (3933959)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3933940"
% 3.93/1.57 % (3933958)Instruction limit reached!
% 3.93/1.57 % (3933958)------------------------------
% 3.93/1.57 % (3933958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.93/1.57 % (3933958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/1.57 % (3933958)CaDiCaL version: 2.1.3
% 3.93/1.57 % (3933958)Termination reason: Instruction limit
% 3.93/1.57 % (3933958)Termination phase: Saturation
% 3.93/1.57 % (3933958)Time elapsed: 0.151 s
% 3.93/1.57 % (3933958)Peak memory usage: 89 MB
% 3.93/1.57 % (3933958)Instructions burned: 139 (million)
% 3.93/1.57 % (3933961)lrs+10_1_sil=8000:sp=occurrence:random_seed=3861994712:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.93/1.57 % (3933973)lrs+10_1_sil=32000:urr=on:br=off:random_seed=930300448:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 3.93/1.57 % (3933973)Refutation not found, incomplete strategy
% 3.93/1.57 % (3933973)------------------------------
% 3.93/1.57 % (3933973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.93/1.57 % (3933973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/1.57 % (3933973)CaDiCaL version: 2.1.3
% 3.93/1.57 % (3933973)Termination reason: Refutation not found, incomplete strategy
% 3.93/1.57 % (3933973)Time elapsed: 0.002 s
% 3.93/1.57 % (3933973)Peak memory usage: 87 MB
% 3.93/1.57 % (3933956)------------------------------
% 3.93/1.57 % (3933956)------------------------------
% 3.93/1.57 % (3933959)Refutation found. Thanks to Tanya!
% 3.93/1.57 % SZS status Theorem for theBenchmark
% 3.93/1.57 % SZS output start Proof for theBenchmark
% See solution above
% 5.20/1.80 % (3933959)------------------------------
% 5.20/1.80 % (3933959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.20/1.80 % (3933959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.80 % (3933959)CaDiCaL version: 2.1.3
% 5.20/1.80 % (3933959)Termination reason: Refutation
% 5.20/1.80 % (3933959)Time elapsed: 0.007 s
% 5.20/1.80 % (3933959)Peak memory usage: 89 MB
% 5.20/1.80 % (3933959)Instructions burned: 5 (million)
% 5.20/1.80 % (3933959)------------------------------
% 5.20/1.80 % (3933959)------------------------------
% 5.20/1.80 % (3933940)Success in time 0.633 s
% 5.20/1.80 % Vampire exiting
%------------------------------------------------------------------------------