%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC378+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 01:03:43 PM UTC 2026
% Result : Theorem 1.06s 0.92s
% Output : Refutation 2.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 88 ( 13 unt; 4 def)
% Number of atoms : 311 ( 20 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 382 ( 159 ~; 174 |; 32 &)
% ( 6 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 60 ( 0 sgn 53 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| ! [X4] :
( ssList(X4)
=> ! [X5] :
( ~ ssList(X5)
| app(X4,X5) != X3
| app(X5,X4) != X2 ) )
| ! [X6] :
( ~ ssItem(X6)
| ( ~ memberP(X1,X6)
& ~ memberP(X0,X6) )
| ( memberP(X1,X6)
& memberP(X0,X6) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| ! [X4] :
( ssList(X4)
=> ! [X5] :
( ~ ssList(X5)
| app(X4,X5) != X3
| app(X5,X4) != X2 ) )
| ! [X6] :
( ~ ssItem(X6)
| ( ~ memberP(X1,X6)
& ~ memberP(X0,X6) )
| ( memberP(X1,X6)
& memberP(X0,X6) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& X1 = X3
& X0 = X2
& ? [X4] :
( ? [X5] :
( ssList(X5)
& app(X4,X5) = X3
& app(X5,X4) = X2 )
& ssList(X4) )
& ? [X6] :
( ssItem(X6)
& ( memberP(X1,X6)
| memberP(X0,X6) )
& ( ~ memberP(X1,X6)
| ~ memberP(X0,X6) ) ) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f114,plain,
( ssList(sK3)
& sK1 = sK3
& sK0 = sK2
& ssList(sK5)
& sK3 = app(sK4,sK5)
& sK2 = app(sK5,sK4)
& ssList(sK4)
& ssItem(sK6)
& ( memberP(sK1,sK6)
| memberP(sK0,sK6) )
& ( ~ memberP(sK1,sK6)
| ~ memberP(sK0,sK6) )
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6)],[f98]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X1,X0)
& ~ memberP(X2,X0) ) )
& ( memberP(X1,X0)
| memberP(X2,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f112]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X1,X0)
& ~ memberP(X2,X0) ) )
& ( memberP(X1,X0)
| memberP(X2,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f120]) ).
fof(f128,plain,
( ~ memberP(sK1,sK6)
| ~ memberP(sK0,sK6) ),
inference(cnf_transformation,[],[f114]) ).
fof(f129,plain,
( memberP(sK1,sK6)
| memberP(sK0,sK6) ),
inference(cnf_transformation,[],[f114]) ).
fof(f130,plain,
ssItem(sK6),
inference(cnf_transformation,[],[f114]) ).
fof(f131,plain,
ssList(sK4),
inference(cnf_transformation,[],[f114]) ).
fof(f132,plain,
sK2 = app(sK5,sK4),
inference(cnf_transformation,[],[f114]) ).
fof(f133,plain,
sK3 = app(sK4,sK5),
inference(cnf_transformation,[],[f114]) ).
fof(f134,plain,
ssList(sK5),
inference(cnf_transformation,[],[f114]) ).
fof(f135,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f114]) ).
fof(f136,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f114]) ).
fof(f156,plain,
! [X2,X0,X1] :
( ~ memberP(app(X1,X2),X0)
| memberP(X2,X0)
| memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f157,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f158,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f163,plain,
( memberP(sK3,sK6)
| memberP(sK2,sK6) ),
inference(definition_unfolding,[],[f129,f136,f135]) ).
fof(f164,plain,
( ~ memberP(sK3,sK6)
| ~ memberP(sK2,sK6) ),
inference(definition_unfolding,[],[f128,f136,f135]) ).
fof(f180,definition,
( spl16_1
<=> memberP(sK2,sK6) ),
introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).
fof(f181,plain,
( memberP(sK2,sK6)
| ~ spl16_1 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f182,plain,
( ~ memberP(sK2,sK6)
| spl16_1 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f184,definition,
( spl16_2
<=> memberP(sK3,sK6) ),
introduced(definition,[new_symbols(definition,[spl16_2])],[avatar_definition]) ).
fof(f185,plain,
( memberP(sK3,sK6)
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f186,plain,
( ~ memberP(sK3,sK6)
| spl16_2 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f187,plain,
( ~ spl16_1
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f164,f184,f180]) ).
fof(f188,plain,
( spl16_1
| spl16_2 ),
inference(avatar_split_clause,[],[f163,f184,f180]) ).
fof(f196,plain,
! [X0] :
( ~ memberP(sK2,X0)
| memberP(sK4,X0)
| memberP(sK5,X0)
| ~ ssList(sK4)
| ~ ssList(sK5)
| ~ ssItem(X0) ),
inference(superposition,[],[f156,f132]) ).
fof(f197,plain,
! [X0] :
( memberP(sK2,X0)
| ~ memberP(sK4,X0)
| ~ ssList(sK4)
| ~ ssList(sK5)
| ~ ssItem(X0) ),
inference(superposition,[],[f157,f132]) ).
fof(f198,plain,
! [X0] :
( memberP(sK2,X0)
| ~ memberP(sK5,X0)
| ~ ssList(sK4)
| ~ ssList(sK5)
| ~ ssItem(X0) ),
inference(superposition,[],[f158,f132]) ).
fof(f205,plain,
! [X0] :
( memberP(sK2,X0)
| ~ memberP(sK5,X0)
| ~ ssList(sK5)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f198,f131]) ).
fof(f206,plain,
! [X0] :
( memberP(sK2,X0)
| ~ memberP(sK4,X0)
| ~ ssList(sK5)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f197,f131]) ).
fof(f207,plain,
! [X0] :
( ~ memberP(sK2,X0)
| memberP(sK4,X0)
| memberP(sK5,X0)
| ~ ssList(sK5)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f196,f131]) ).
fof(f217,plain,
! [X0] :
( ~ memberP(sK5,X0)
| memberP(sK2,X0)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f205,f134]) ).
fof(f218,plain,
! [X0] :
( ~ memberP(sK4,X0)
| memberP(sK2,X0)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f206,f134]) ).
fof(f219,plain,
! [X0] :
( ~ memberP(sK2,X0)
| memberP(sK4,X0)
| memberP(sK5,X0)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f207,f134]) ).
fof(f272,plain,
! [X0] :
( ~ memberP(sK3,X0)
| memberP(sK5,X0)
| memberP(sK4,X0)
| ~ ssList(sK5)
| ~ ssList(sK4)
| ~ ssItem(X0) ),
inference(superposition,[],[f156,f133]) ).
fof(f273,plain,
! [X0] :
( memberP(sK3,X0)
| ~ memberP(sK5,X0)
| ~ ssList(sK5)
| ~ ssList(sK4)
| ~ ssItem(X0) ),
inference(superposition,[],[f157,f133]) ).
fof(f274,plain,
! [X0] :
( memberP(sK3,X0)
| ~ memberP(sK4,X0)
| ~ ssList(sK5)
| ~ ssList(sK4)
| ~ ssItem(X0) ),
inference(superposition,[],[f158,f133]) ).
fof(f280,plain,
! [X0] :
( memberP(sK3,X0)
| ~ memberP(sK4,X0)
| ~ ssList(sK4)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f274,f134]) ).
fof(f281,plain,
! [X0] :
( memberP(sK3,X0)
| ~ memberP(sK5,X0)
| ~ ssList(sK4)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f273,f134]) ).
fof(f282,plain,
! [X0] :
( ~ memberP(sK3,X0)
| memberP(sK5,X0)
| memberP(sK4,X0)
| ~ ssList(sK4)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f272,f134]) ).
fof(f291,plain,
! [X0] :
( ~ memberP(sK4,X0)
| memberP(sK3,X0)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f280,f131]) ).
fof(f292,plain,
! [X0] :
( ~ memberP(sK5,X0)
| memberP(sK3,X0)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f281,f131]) ).
fof(f293,plain,
! [X0] :
( ~ memberP(sK3,X0)
| memberP(sK5,X0)
| memberP(sK4,X0)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f282,f131]) ).
fof(f415,plain,
( memberP(sK5,sK6)
| memberP(sK4,sK6)
| ~ ssItem(sK6)
| ~ spl16_2 ),
inference(resolution,[],[f293,f185]) ).
fof(f416,plain,
( memberP(sK5,sK6)
| memberP(sK4,sK6)
| ~ spl16_2 ),
inference(forward_subsumption_resolution,[],[f415,f130]) ).
fof(f418,definition,
( spl16_17
<=> memberP(sK4,sK6) ),
introduced(definition,[new_symbols(definition,[spl16_17])],[avatar_definition]) ).
fof(f420,plain,
( memberP(sK4,sK6)
| ~ spl16_17 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f422,definition,
( spl16_18
<=> memberP(sK5,sK6) ),
introduced(definition,[new_symbols(definition,[spl16_18])],[avatar_definition]) ).
fof(f424,plain,
( memberP(sK5,sK6)
| ~ spl16_18 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f425,plain,
( spl16_17
| spl16_18
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f416,f184,f422,f418]) ).
fof(f426,plain,
( memberP(sK4,sK6)
| memberP(sK5,sK6)
| ~ ssItem(sK6)
| ~ spl16_1 ),
inference(resolution,[],[f181,f219]) ).
fof(f427,plain,
( memberP(sK4,sK6)
| memberP(sK5,sK6)
| ~ spl16_1 ),
inference(forward_subsumption_resolution,[],[f426,f130]) ).
fof(f428,plain,
( spl16_18
| spl16_17
| ~ spl16_1 ),
inference(avatar_split_clause,[],[f427,f180,f418,f422]) ).
fof(f466,plain,
( memberP(sK2,sK6)
| ~ ssItem(sK6)
| ~ spl16_17 ),
inference(resolution,[],[f420,f218]) ).
fof(f467,plain,
( ~ ssItem(sK6)
| spl16_1
| ~ spl16_17 ),
inference(forward_subsumption_resolution,[],[f466,f182]) ).
fof(f468,plain,
( $false
| spl16_1
| ~ spl16_17 ),
inference(forward_subsumption_resolution,[],[f467,f130]) ).
fof(f469,plain,
( spl16_1
| ~ spl16_17 ),
inference(avatar_contradiction_clause,[],[f468]) ).
fof(f470,plain,
( memberP(sK3,sK6)
| ~ ssItem(sK6)
| ~ spl16_18 ),
inference(resolution,[],[f424,f292]) ).
fof(f471,plain,
( memberP(sK2,sK6)
| ~ ssItem(sK6)
| ~ spl16_18 ),
inference(resolution,[],[f424,f217]) ).
fof(f472,plain,
( ~ ssItem(sK6)
| spl16_1
| ~ spl16_18 ),
inference(forward_subsumption_resolution,[],[f471,f182]) ).
fof(f473,plain,
( $false
| spl16_1
| ~ spl16_18 ),
inference(forward_subsumption_resolution,[],[f472,f130]) ).
fof(f474,plain,
( spl16_1
| ~ spl16_18 ),
inference(avatar_contradiction_clause,[],[f473]) ).
fof(f475,plain,
( ~ ssItem(sK6)
| spl16_2
| ~ spl16_18 ),
inference(forward_subsumption_resolution,[],[f470,f186]) ).
fof(f476,plain,
( $false
| spl16_2
| ~ spl16_18 ),
inference(forward_subsumption_resolution,[],[f475,f130]) ).
fof(f477,plain,
( spl16_2
| ~ spl16_18 ),
inference(avatar_contradiction_clause,[],[f476]) ).
fof(f479,plain,
( memberP(sK3,sK6)
| ~ ssItem(sK6)
| ~ spl16_17 ),
inference(resolution,[],[f420,f291]) ).
fof(f481,plain,
( ~ ssItem(sK6)
| spl16_2
| ~ spl16_17 ),
inference(forward_subsumption_resolution,[],[f479,f186]) ).
fof(f482,plain,
( $false
| spl16_2
| ~ spl16_17 ),
inference(forward_subsumption_resolution,[],[f481,f130]) ).
fof(f483,plain,
( spl16_2
| ~ spl16_17 ),
inference(avatar_contradiction_clause,[],[f482]) ).
cnf(s1,plain,
( ~ spl16_1
| ~ spl16_2 ),
inference(sat_conversion,[],[f187]) ).
cnf(s2,plain,
( spl16_1
| spl16_2 ),
inference(sat_conversion,[],[f188]) ).
cnf(s16,plain,
( ~ spl16_2
| spl16_17
| spl16_18 ),
inference(sat_conversion,[],[f425]) ).
cnf(s17,plain,
( ~ spl16_1
| spl16_17
| spl16_18 ),
inference(sat_conversion,[],[f428]) ).
cnf(s18,plain,
( spl16_1
| ~ spl16_17 ),
inference(sat_conversion,[],[f469]) ).
cnf(s19,plain,
( spl16_1
| ~ spl16_18 ),
inference(sat_conversion,[],[f474]) ).
cnf(s20,plain,
( spl16_2
| ~ spl16_18 ),
inference(sat_conversion,[],[f477]) ).
cnf(s21,plain,
( spl16_2
| ~ spl16_17 ),
inference(sat_conversion,[],[f483]) ).
cnf(s22,plain,
spl16_1,
inference(rat,[],[s16,s2,s18,s19]) ).
cnf(s23,plain,
~ spl16_2,
inference(rat,[],[s1,s22]) ).
cnf(s24,plain,
~ spl16_17,
inference(rat,[],[s21,s23]) ).
cnf(s25,plain,
~ spl16_18,
inference(rat,[],[s20,s23]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s17,s22,s24,s25]) ).
fof(f484,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC378+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n001.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 09:27:33 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 Running first-order theorem proving
% 0.07/0.20 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
% 1.06/0.92 % (239015)Detected formulas, will run a generic FOF schedule.
% 1.06/0.92 % (239023)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2213861361:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.06/0.92 % (239023)First to succeed.
% 1.06/0.92 % (239023)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-239015"
% 1.06/0.92 % (239024)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2069487140:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.06/0.92 % (239025)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=713713177:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.06/0.92 % (239026)dis-21_1_sil=8000:lcm=predicate:random_seed=1335721724: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)
% 1.06/0.92 % (239020)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=4089119746:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.06/0.92 % (239021)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=1277580599:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.06/0.92 % (239022)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=1486043133:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.06/0.92 % (239024)Also succeeded, but the first one will report.
% 1.06/0.92 % (239026)Instruction limit reached!
% 1.06/0.92 % (239026)------------------------------
% 1.06/0.92 % (239026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.06/0.92 % (239026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.92 % (239026)CaDiCaL version: 2.1.3
% 1.06/0.92 % (239026)Termination reason: Instruction limit
% 1.06/0.92 % (239026)Termination phase: Saturation
% 1.06/0.92 % (239026)Time elapsed: 0.071 s
% 1.06/0.92 % (239026)Peak memory usage: 90 MB
% 1.06/0.92 % (239026)Instructions burned: 131 (million)
% 1.06/0.92 % (239025)Instruction limit reached!
% 1.06/0.92 % (239025)------------------------------
% 1.06/0.92 % (239025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.06/0.92 % (239025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.92 % (239025)CaDiCaL version: 2.1.3
% 1.06/0.92 % (239025)Termination reason: Instruction limit
% 1.06/0.92 % (239025)Termination phase: Saturation
% 1.06/0.92 % (239025)Time elapsed: 0.094 s
% 1.06/0.92 % (239025)Peak memory usage: 90 MB
% 1.06/0.92 % (239025)Instructions burned: 140 (million)
% 1.06/0.92 % (239023)Refutation found. Thanks to Tanya!
% 1.06/0.92 % SZS status Theorem for theBenchmark
% 1.06/0.92 % SZS output start Proof for theBenchmark
% See solution above
% 2.50/1.11 % (239023)------------------------------
% 2.50/1.11 % (239023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/1.11 % (239023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/1.11 % (239023)CaDiCaL version: 2.1.3
% 2.50/1.11 % (239023)Termination reason: Refutation
% 2.50/1.11 % (239023)Time elapsed: 0.005 s
% 2.50/1.11 % (239023)Peak memory usage: 89 MB
% 2.50/1.11 % (239023)Instructions burned: 12 (million)
% 2.50/1.11 % (239023)------------------------------
% 2.50/1.11 % (239023)------------------------------
% 2.50/1.11 % (239015)Success in time 0.272 s
% 2.50/1.11 % Vampire exiting
%------------------------------------------------------------------------------