%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET159+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 0.75s 1.03s
% Output : Refutation 3.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 15
% Syntax : Number of formulae : 100 ( 14 unt; 11 def)
% Number of atoms : 239 ( 12 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 231 ( 92 ~; 108 |; 15 &)
% ( 15 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 11 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 60 ( 0 sgn 55 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( member(X2,union(X0,X1))
<=> ( member(X2,X0)
| member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
fof(f2,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_defn) ).
fof(f4,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
fof(f7,conjecture,
! [X0,X1,X2] : union(union(X0,X1),X2) = union(X0,union(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_associativity_of_union) ).
fof(f8,negated_conjecture,
~ ! [X0,X1,X2] : union(union(X0,X1),X2) = union(X0,union(X1,X2)),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f10,plain,
? [X0,X1,X2] : union(union(X0,X1),X2) != union(X0,union(X1,X2)),
inference(ennf_transformation,[],[f8]) ).
fof(f11,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X0)
& ~ member(X2,X1) ) )
& ( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X0,X1)) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f12,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X0)
& ~ member(X2,X1) ) )
& ( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X0,X1)) ) ),
inference(flattening,[],[f11]) ).
fof(f13,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f14,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f13]) ).
fof(f15,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,[],[f9]) ).
fof(f16,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,[],[f15]) ).
fof(f17,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))],[f16]) ).
fof(f21,plain,
union(union(sK2,sK3),sK4) != union(sK2,union(sK3,sK4)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f10]) ).
fof(f22,plain,
! [X2,X0,X1] :
( ~ member(X2,union(X0,X1))
| member(X2,X1)
| member(X2,X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f23,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f24,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f27,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f30,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f31,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f37,plain,
union(union(sK2,sK3),sK4) != union(sK2,union(sK3,sK4)),
inference(cnf_transformation,[],[f21]) ).
fof(f42,definition,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ5_eqProxy])],[equality_proxy_definition]) ).
fof(f43,plain,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(equality_proxy_replacement,[],[f27,f42]) ).
fof(f47,plain,
~ sQ5_eqProxy(union(union(sK2,sK3),sK4),union(sK2,union(sK3,sK4))),
inference(equality_proxy_replacement,[],[f37,f42]) ).
fof(f55,plain,
( ~ subset(union(union(sK2,sK3),sK4),union(sK2,union(sK3,sK4)))
| ~ subset(union(sK2,union(sK3,sK4)),union(union(sK2,sK3),sK4)) ),
inference(resolution,[],[f43,f47]) ).
fof(f58,definition,
( spl6_1
<=> subset(union(union(sK2,sK3),sK4),union(sK2,union(sK3,sK4))) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f59,plain,
( ~ subset(union(union(sK2,sK3),sK4),union(sK2,union(sK3,sK4)))
| spl6_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f61,definition,
( spl6_2
<=> subset(union(sK2,union(sK3,sK4)),union(union(sK2,sK3),sK4)) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f62,plain,
( ~ subset(union(sK2,union(sK3,sK4)),union(union(sK2,sK3),sK4))
| spl6_2 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f64,plain,
( ~ spl6_2
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f55,f58,f61]) ).
fof(f73,definition,
( spl6_3
<=> member(sK0(union(union(sK2,sK3),sK4),union(sK2,union(sK3,sK4))),union(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
fof(f74,plain,
( member(sK0(union(union(sK2,sK3),sK4),union(sK2,union(sK3,sK4))),union(sK2,sK3))
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f76,definition,
( spl6_4
<=> member(sK0(union(union(sK2,sK3),sK4),union(sK2,union(sK3,sK4))),sK4) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
fof(f77,plain,
( member(sK0(union(union(sK2,sK3),sK4),union(sK2,union(sK3,sK4))),sK4)
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f79,plain,
( ~ member(sK0(union(sK2,union(sK3,sK4)),union(union(sK2,sK3),sK4)),union(union(sK2,sK3),sK4))
| spl6_2 ),
inference(resolution,[],[f62,f31]) ).
fof(f80,plain,
( member(sK0(union(sK2,union(sK3,sK4)),union(union(sK2,sK3),sK4)),union(sK2,union(sK3,sK4)))
| spl6_2 ),
inference(resolution,[],[f62,f30]) ).
fof(f81,plain,
( ~ member(sK0(union(sK2,union(sK3,sK4)),union(union(sK2,sK3),sK4)),union(sK2,sK3))
| spl6_2 ),
inference(resolution,[],[f79,f24]) ).
fof(f83,plain,
( member(sK0(union(sK2,union(sK3,sK4)),union(union(sK2,sK3),sK4)),union(sK3,sK4))
| member(sK0(union(sK2,union(sK3,sK4)),union(union(sK2,sK3),sK4)),sK2)
| spl6_2 ),
inference(resolution,[],[f80,f22]) ).
fof(f85,definition,
( spl6_5
<=> member(sK0(union(sK2,union(sK3,sK4)),union(union(sK2,sK3),sK4)),sK2) ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
fof(f86,plain,
( member(sK0(union(sK2,union(sK3,sK4)),union(union(sK2,sK3),sK4)),sK2)
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f88,definition,
( spl6_6
<=> member(sK0(union(sK2,union(sK3,sK4)),union(union(sK2,sK3),sK4)),union(sK3,sK4)) ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
fof(f89,plain,
( member(sK0(union(sK2,union(sK3,sK4)),union(union(sK2,sK3),sK4)),union(sK3,sK4))
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f90,plain,
( spl6_5
| spl6_6
| spl6_2 ),
inference(avatar_split_clause,[],[f83,f61,f88,f85]) ).
fof(f91,plain,
( ~ member(sK0(union(sK2,union(sK3,sK4)),union(union(sK2,sK3),sK4)),sK2)
| spl6_2 ),
inference(resolution,[],[f81,f24]) ).
fof(f93,plain,
( $false
| spl6_2
| ~ spl6_5 ),
inference(resolution,[],[f91,f86]) ).
fof(f94,plain,
( spl6_2
| ~ spl6_5 ),
inference(avatar_contradiction_clause,[],[f93]) ).
fof(f97,definition,
( spl6_7
<=> member(sK0(union(sK2,union(sK3,sK4)),union(union(sK2,sK3),sK4)),sK3) ),
introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).
fof(f98,plain,
( member(sK0(union(sK2,union(sK3,sK4)),union(union(sK2,sK3),sK4)),sK3)
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f100,definition,
( spl6_8
<=> member(sK0(union(sK2,union(sK3,sK4)),union(union(sK2,sK3),sK4)),sK4) ),
introduced(definition,[new_symbols(definition,[spl6_8])],[avatar_definition]) ).
fof(f101,plain,
( member(sK0(union(sK2,union(sK3,sK4)),union(union(sK2,sK3),sK4)),sK4)
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f103,plain,
( ~ member(sK0(union(union(sK2,sK3),sK4),union(sK2,union(sK3,sK4))),union(sK2,union(sK3,sK4)))
| spl6_1 ),
inference(resolution,[],[f59,f31]) ).
fof(f104,plain,
( member(sK0(union(union(sK2,sK3),sK4),union(sK2,union(sK3,sK4))),union(union(sK2,sK3),sK4))
| spl6_1 ),
inference(resolution,[],[f59,f30]) ).
fof(f105,plain,
( ~ member(sK0(union(union(sK2,sK3),sK4),union(sK2,union(sK3,sK4))),sK2)
| spl6_1 ),
inference(resolution,[],[f103,f24]) ).
fof(f106,plain,
( ~ member(sK0(union(union(sK2,sK3),sK4),union(sK2,union(sK3,sK4))),union(sK3,sK4))
| spl6_1 ),
inference(resolution,[],[f103,f23]) ).
fof(f107,plain,
( member(sK0(union(union(sK2,sK3),sK4),union(sK2,union(sK3,sK4))),sK4)
| member(sK0(union(union(sK2,sK3),sK4),union(sK2,union(sK3,sK4))),union(sK2,sK3))
| spl6_1 ),
inference(resolution,[],[f104,f22]) ).
fof(f108,plain,
( spl6_3
| spl6_4
| spl6_1 ),
inference(avatar_split_clause,[],[f107,f58,f76,f73]) ).
fof(f109,plain,
( member(sK0(union(union(sK2,sK3),sK4),union(sK2,union(sK3,sK4))),sK3)
| member(sK0(union(union(sK2,sK3),sK4),union(sK2,union(sK3,sK4))),sK2)
| ~ spl6_3 ),
inference(resolution,[],[f74,f22]) ).
fof(f111,definition,
( spl6_9
<=> member(sK0(union(union(sK2,sK3),sK4),union(sK2,union(sK3,sK4))),sK2) ),
introduced(definition,[new_symbols(definition,[spl6_9])],[avatar_definition]) ).
fof(f112,plain,
( member(sK0(union(union(sK2,sK3),sK4),union(sK2,union(sK3,sK4))),sK2)
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f114,definition,
( spl6_10
<=> member(sK0(union(union(sK2,sK3),sK4),union(sK2,union(sK3,sK4))),sK3) ),
introduced(definition,[new_symbols(definition,[spl6_10])],[avatar_definition]) ).
fof(f115,plain,
( member(sK0(union(union(sK2,sK3),sK4),union(sK2,union(sK3,sK4))),sK3)
| ~ spl6_10 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f116,plain,
( spl6_9
| spl6_10
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f109,f73,f114,f111]) ).
fof(f117,plain,
( ~ member(sK0(union(union(sK2,sK3),sK4),union(sK2,union(sK3,sK4))),sK3)
| spl6_1 ),
inference(resolution,[],[f106,f24]) ).
fof(f118,plain,
( ~ member(sK0(union(union(sK2,sK3),sK4),union(sK2,union(sK3,sK4))),sK4)
| spl6_1 ),
inference(resolution,[],[f106,f23]) ).
fof(f141,plain,
( $false
| spl6_1
| ~ spl6_10 ),
inference(resolution,[],[f117,f115]) ).
fof(f142,plain,
( spl6_1
| ~ spl6_10 ),
inference(avatar_contradiction_clause,[],[f141]) ).
fof(f145,plain,
( $false
| spl6_1
| ~ spl6_9 ),
inference(resolution,[],[f112,f105]) ).
fof(f146,plain,
( spl6_1
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f145]) ).
fof(f147,plain,
( $false
| spl6_1
| ~ spl6_4 ),
inference(resolution,[],[f118,f77]) ).
fof(f148,plain,
( spl6_1
| ~ spl6_4 ),
inference(avatar_contradiction_clause,[],[f147]) ).
fof(f149,plain,
( ~ member(sK0(union(sK2,union(sK3,sK4)),union(union(sK2,sK3),sK4)),union(union(sK2,sK3),sK4))
| spl6_2 ),
inference(resolution,[],[f62,f31]) ).
fof(f168,plain,
( member(sK0(union(sK2,union(sK3,sK4)),union(union(sK2,sK3),sK4)),sK4)
| member(sK0(union(sK2,union(sK3,sK4)),union(union(sK2,sK3),sK4)),sK3)
| ~ spl6_6 ),
inference(resolution,[],[f89,f22]) ).
fof(f169,plain,
( ~ member(sK0(union(sK2,union(sK3,sK4)),union(union(sK2,sK3),sK4)),union(sK2,sK3))
| spl6_2 ),
inference(resolution,[],[f149,f24]) ).
fof(f170,plain,
( ~ member(sK0(union(sK2,union(sK3,sK4)),union(union(sK2,sK3),sK4)),sK4)
| spl6_2 ),
inference(resolution,[],[f149,f23]) ).
fof(f172,plain,
( $false
| spl6_2
| ~ spl6_8 ),
inference(resolution,[],[f170,f101]) ).
fof(f174,plain,
( spl6_2
| ~ spl6_8 ),
inference(avatar_contradiction_clause,[],[f172]) ).
fof(f175,plain,
( spl6_7
| spl6_8
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f168,f88,f100,f97]) ).
fof(f181,plain,
( ~ member(sK0(union(sK2,union(sK3,sK4)),union(union(sK2,sK3),sK4)),sK3)
| spl6_2 ),
inference(resolution,[],[f169,f23]) ).
fof(f190,plain,
( $false
| spl6_2
| ~ spl6_7 ),
inference(resolution,[],[f181,f98]) ).
fof(f192,plain,
( spl6_2
| ~ spl6_7 ),
inference(avatar_contradiction_clause,[],[f190]) ).
cnf(s2,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(sat_conversion,[],[f64]) ).
cnf(s4,plain,
( spl6_2
| spl6_5
| spl6_6 ),
inference(sat_conversion,[],[f90]) ).
cnf(s5,plain,
( spl6_2
| ~ spl6_5 ),
inference(sat_conversion,[],[f94]) ).
cnf(s7,plain,
( spl6_1
| spl6_3
| spl6_4 ),
inference(sat_conversion,[],[f108]) ).
cnf(s8,plain,
( ~ spl6_3
| spl6_9
| spl6_10 ),
inference(sat_conversion,[],[f116]) ).
cnf(s11,plain,
( spl6_1
| ~ spl6_10 ),
inference(sat_conversion,[],[f142]) ).
cnf(s12,plain,
( spl6_1
| ~ spl6_9 ),
inference(sat_conversion,[],[f146]) ).
cnf(s13,plain,
( spl6_1
| ~ spl6_4 ),
inference(sat_conversion,[],[f148]) ).
cnf(s14,plain,
( spl6_2
| ~ spl6_8 ),
inference(sat_conversion,[],[f174]) ).
cnf(s15,plain,
( ~ spl6_6
| spl6_7
| spl6_8 ),
inference(sat_conversion,[],[f175]) ).
cnf(s16,plain,
( spl6_2
| ~ spl6_7 ),
inference(sat_conversion,[],[f192]) ).
cnf(s17,plain,
spl6_1,
inference(rat,[],[s8,s7,s11,s12,s13]) ).
cnf(s18,plain,
~ spl6_2,
inference(rat,[],[s2,s17]) ).
cnf(s19,plain,
~ spl6_7,
inference(rat,[],[s16,s18]) ).
cnf(s20,plain,
~ spl6_8,
inference(rat,[],[s14,s18]) ).
cnf(s21,plain,
~ spl6_5,
inference(rat,[],[s5,s18]) ).
cnf(s22,plain,
~ spl6_6,
inference(rat,[],[s15,s19,s20]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s4,s18,s22,s21]) ).
fof(f193,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET159+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n005.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 00:56:32 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.75/1.03 % (337836)Detected formulas, will run a generic FOF schedule.
% 0.75/1.03 % (337846)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=461873933:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.75/1.03 % (337843)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=297500321:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.75/1.03 % (337847)dis-21_1_sil=8000:lcm=predicate:random_seed=1585202156: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)
% 0.75/1.03 % (337845)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=458036370:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.75/1.03 % (337841)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=406196794:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.75/1.03 % (337844)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=847056082:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.75/1.03 % (337842)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=3350812186:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.75/1.03 % (337844)Refutation not found, incomplete strategy
% 0.75/1.03 % (337844)------------------------------
% 0.75/1.03 % (337844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.75/1.03 % (337844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/1.03 % (337844)CaDiCaL version: 2.1.3
% 0.75/1.03 % (337844)Termination reason: Refutation not found, incomplete strategy
% 0.75/1.03 % (337844)Time elapsed: 0.001 s
% 0.75/1.03 % (337844)Peak memory usage: 88 MB
% 0.75/1.03 % (337847)First to succeed.
% 0.75/1.03 % (337847)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-337836"
% 0.75/1.03 % (337846)Instruction limit reached!
% 0.75/1.03 % (337846)------------------------------
% 0.75/1.03 % (337846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.75/1.03 % (337846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/1.03 % (337846)CaDiCaL version: 2.1.3
% 0.75/1.03 % (337846)Termination reason: Instruction limit
% 0.75/1.03 % (337846)Termination phase: Saturation
% 0.75/1.03 % (337846)Time elapsed: 0.046 s
% 0.75/1.03 % (337846)Peak memory usage: 89 MB
% 0.75/1.03 % (337846)Instructions burned: 142 (million)
% 0.75/1.03 % (337845)Instruction limit reached!
% 0.75/1.03 % (337845)------------------------------
% 0.75/1.03 % (337845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.75/1.03 % (337845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/1.03 % (337845)CaDiCaL version: 2.1.3
% 0.75/1.03 % (337845)Termination reason: Instruction limit
% 0.75/1.03 % (337845)Termination phase: Saturation
% 0.75/1.03 % (337845)Time elapsed: 0.074 s
% 0.75/1.03 % (337845)Peak memory usage: 88 MB
% 0.75/1.03 % (337845)Instructions burned: 120 (million)
% 0.75/1.03 % (337855)lrs+10_1_sil=8000:sp=occurrence:random_seed=1027370196:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 0.75/1.03 % (337856)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4152236978:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 0.75/1.03 % (337844)------------------------------
% 0.75/1.03 % (337844)------------------------------
% 0.75/1.03 % (337856)Refutation not found, incomplete strategy
% 0.75/1.03 % (337856)------------------------------
% 0.75/1.03 % (337856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.75/1.03 % (337856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/1.03 % (337856)CaDiCaL version: 2.1.3
% 0.75/1.03 % (337856)Termination reason: Refutation not found, incomplete strategy
% 0.75/1.03 % (337856)Time elapsed: 0.002 s
% 0.75/1.03 % (337856)Peak memory usage: 89 MB
% 0.75/1.03 % (337856)Instructions burned: 1 (million)
% 0.75/1.03 % (337847)Refutation found. Thanks to Tanya!
% 0.75/1.03 % SZS status Theorem for theBenchmark
% 0.75/1.03 % SZS output start Proof for theBenchmark
% See solution above
% 3.31/1.21 % (337847)------------------------------
% 3.31/1.21 % (337847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.31/1.21 % (337847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/1.21 % (337847)CaDiCaL version: 2.1.3
% 3.31/1.21 % (337847)Termination reason: Refutation
% 3.31/1.21 % (337847)Time elapsed: 0.005 s
% 3.31/1.21 % (337847)Peak memory usage: 89 MB
% 3.31/1.21 % (337847)Instructions burned: 5 (million)
% 3.31/1.21 % (337847)------------------------------
% 3.31/1.21 % (337847)------------------------------
% 3.31/1.21 % (337836)Success in time 0.409 s
% 3.31/1.21 % Vampire exiting
%------------------------------------------------------------------------------