%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC025+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 01:04:20 PM UTC 2026
% Result : Theorem 0.36s 0.47s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 97 ( 11 unt; 8 def)
% Number of atoms : 328 ( 79 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 367 ( 136 ~; 155 |; 53 &)
% ( 10 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 9 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn 46 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax20) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax37) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax38) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ duplicatefreeP(X2)
| ? [X4] :
( ssItem(X4)
& ( ( ~ memberP(X3,X4)
& memberP(X2,X4) )
| ( ~ memberP(X2,X4)
& memberP(X3,X4) ) ) )
| ( ( nil != X1
| nil = X0 )
& ( nil != X0
| nil = X1 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ duplicatefreeP(X2)
| ? [X4] :
( ssItem(X4)
& ( ( ~ memberP(X3,X4)
& memberP(X2,X4) )
| ( ~ memberP(X2,X4)
& memberP(X3,X4) ) ) )
| ( ( nil != X1
| nil = X0 )
& ( nil != X0
| nil = X1 ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f123,plain,
! [X0] :
( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f124,plain,
! [X0] :
( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) )
| ~ ssList(X0) ),
inference(flattening,[],[f123]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f148,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& duplicatefreeP(X2)
& ! [X4] :
( ~ ssItem(X4)
| ( ( memberP(X3,X4)
| ~ memberP(X2,X4) )
& ( memberP(X2,X4)
| ~ memberP(X3,X4) ) ) )
& ( ( nil = X1
& nil != X0 )
| ( nil = X0
& nil != X1 ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& duplicatefreeP(X2)
& ! [X4] :
( ~ ssItem(X4)
| ( ( memberP(X3,X4)
| ~ memberP(X2,X4) )
& ( memberP(X2,X4)
| ~ memberP(X3,X4) ) ) )
& ( ( nil = X1
& nil != X0 )
| ( nil = X0
& nil != X1 ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f274,plain,
! [X0] :
( nil = X0
| ( ssList(sK49(X0))
& ssItem(sK50(X0))
& cons(sK50(X0),sK49(X0)) = X0 )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK49,sK50]),skolemize(X1,sK49(X0)),skolemize(X2,sK50(X0))],[f124]) ).
fof(f279,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( X0 != X1
& ~ memberP(X2,X0) ) )
& ( X0 = X1
| memberP(X2,X0)
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f147]) ).
fof(f280,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( X0 != X1
& ~ memberP(X2,X0) ) )
& ( X0 = X1
| memberP(X2,X0)
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f279]) ).
fof(f296,plain,
( sK54 = sK56
& sK53 = sK55
& duplicatefreeP(sK55)
& ! [X4] :
( ~ ssItem(X4)
| ( ( memberP(sK56,X4)
| ~ memberP(sK55,X4) )
& ( memberP(sK55,X4)
| ~ memberP(sK56,X4) ) ) )
& ( ( nil = sK54
& nil != sK53 )
| ( nil = sK53
& nil != sK54 ) )
& ssList(sK56)
& ssList(sK55)
& ssList(sK54)
& ssList(sK53) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56)],[f222]) ).
fof(f393,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK50(X0),sK49(X0)) = X0
| nil = X0 ),
inference(cnf_transformation,[],[f274]) ).
fof(f394,plain,
! [X0] :
( ssItem(sK50(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f274]) ).
fof(f395,plain,
! [X0] :
( ssList(sK49(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f274]) ).
fof(f418,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f419,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f498,plain,
ssList(sK55),
inference(cnf_transformation,[],[f296]) ).
fof(f499,plain,
ssList(sK56),
inference(cnf_transformation,[],[f296]) ).
fof(f500,plain,
( nil != sK53
| nil != sK54 ),
inference(cnf_transformation,[],[f296]) ).
fof(f503,plain,
( nil = sK54
| nil = sK53 ),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
! [X4] :
( ~ ssItem(X4)
| memberP(sK55,X4)
| ~ memberP(sK56,X4) ),
inference(cnf_transformation,[],[f296]) ).
fof(f505,plain,
! [X4] :
( ~ ssItem(X4)
| memberP(sK56,X4)
| ~ memberP(sK55,X4) ),
inference(cnf_transformation,[],[f296]) ).
fof(f507,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f508,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f509,plain,
( nil = sK56
| nil = sK55 ),
inference(definition_unfolding,[],[f503,f508,f507]) ).
fof(f512,plain,
( nil != sK55
| nil != sK56 ),
inference(definition_unfolding,[],[f500,f507,f508]) ).
fof(f530,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f418]) ).
fof(f545,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f530]) ).
fof(f550,definition,
( spl57_1
<=> nil = sK56 ),
introduced(definition,[new_symbols(definition,[spl57_1])],[avatar_definition]) ).
fof(f551,plain,
( nil = sK56
| ~ spl57_1 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f552,plain,
( nil != sK56
| spl57_1 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f554,definition,
( spl57_2
<=> nil = sK55 ),
introduced(definition,[new_symbols(definition,[spl57_2])],[avatar_definition]) ).
fof(f555,plain,
( nil = sK55
| ~ spl57_2 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f556,plain,
( nil != sK55
| spl57_2 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f557,plain,
( ~ spl57_1
| ~ spl57_2 ),
inference(avatar_split_clause,[],[f512,f554,f550]) ).
fof(f558,plain,
( spl57_2
| spl57_1 ),
inference(avatar_split_clause,[],[f509,f550,f554]) ).
fof(f1264,plain,
( sK55 = cons(sK50(sK55),sK49(sK55))
| nil = sK55 ),
inference(resolution,[],[f393,f498]) ).
fof(f1265,plain,
( sK56 = cons(sK50(sK56),sK49(sK56))
| nil = sK56 ),
inference(resolution,[],[f393,f499]) ).
fof(f1273,definition,
( spl57_18
<=> ssList(sK49(sK56)) ),
introduced(definition,[new_symbols(definition,[spl57_18])],[avatar_definition]) ).
fof(f1275,plain,
( ~ ssList(sK49(sK56))
| spl57_18 ),
inference(avatar_component_clause,[],[f1273]) ).
fof(f1277,definition,
( spl57_19
<=> ssItem(sK50(sK56)) ),
introduced(definition,[new_symbols(definition,[spl57_19])],[avatar_definition]) ).
fof(f1279,plain,
( ~ ssItem(sK50(sK56))
| spl57_19 ),
inference(avatar_component_clause,[],[f1277]) ).
fof(f1326,plain,
( nil = sK56
| ~ ssList(sK56)
| spl57_18 ),
inference(resolution,[],[f1275,f395]) ).
fof(f1350,definition,
( spl57_26
<=> sK55 = cons(sK50(sK55),sK49(sK55)) ),
introduced(definition,[new_symbols(definition,[spl57_26])],[avatar_definition]) ).
fof(f1352,plain,
( sK55 = cons(sK50(sK55),sK49(sK55))
| ~ spl57_26 ),
inference(avatar_component_clause,[],[f1350]) ).
fof(f1353,plain,
( spl57_2
| spl57_26 ),
inference(avatar_split_clause,[],[f1264,f1350,f554]) ).
fof(f1370,definition,
( spl57_30
<=> sK56 = cons(sK50(sK56),sK49(sK56)) ),
introduced(definition,[new_symbols(definition,[spl57_30])],[avatar_definition]) ).
fof(f1372,plain,
( sK56 = cons(sK50(sK56),sK49(sK56))
| ~ spl57_30 ),
inference(avatar_component_clause,[],[f1370]) ).
fof(f1373,plain,
( spl57_1
| spl57_30 ),
inference(avatar_split_clause,[],[f1265,f1370,f550]) ).
fof(f1379,plain,
( nil = sK56
| spl57_18 ),
inference(forward_subsumption_resolution,[],[f1326,f499]) ).
fof(f1380,plain,
( spl57_1
| spl57_18 ),
inference(avatar_split_clause,[],[f1379,f1273,f550]) ).
fof(f1451,plain,
( ! [X4] :
( memberP(nil,X4)
| ~ ssItem(X4)
| ~ memberP(sK55,X4) )
| ~ spl57_1 ),
inference(forward_demodulation,[],[f505,f551]) ).
fof(f1452,plain,
( ! [X4] :
( ~ memberP(sK55,X4)
| ~ ssItem(X4) )
| ~ spl57_1 ),
inference(forward_subsumption_resolution,[],[f1451,f419]) ).
fof(f1634,plain,
( memberP(sK55,sK50(sK55))
| ~ ssList(sK49(sK55))
| ~ ssItem(sK50(sK55))
| ~ spl57_26 ),
inference(superposition,[],[f545,f1352]) ).
fof(f1635,plain,
( ~ ssList(sK49(sK55))
| ~ ssItem(sK50(sK55))
| ~ spl57_1
| ~ spl57_26 ),
inference(forward_subsumption_resolution,[],[f1634,f1452]) ).
fof(f1637,definition,
( spl57_38
<=> ssItem(sK50(sK55)) ),
introduced(definition,[new_symbols(definition,[spl57_38])],[avatar_definition]) ).
fof(f1639,plain,
( ~ ssItem(sK50(sK55))
| spl57_38 ),
inference(avatar_component_clause,[],[f1637]) ).
fof(f1641,definition,
( spl57_39
<=> ssList(sK49(sK55)) ),
introduced(definition,[new_symbols(definition,[spl57_39])],[avatar_definition]) ).
fof(f1643,plain,
( ~ ssList(sK49(sK55))
| spl57_39 ),
inference(avatar_component_clause,[],[f1641]) ).
fof(f1694,plain,
( nil = sK55
| ~ ssList(sK55)
| spl57_38 ),
inference(resolution,[],[f1639,f394]) ).
fof(f1699,plain,
( nil = sK55
| spl57_38 ),
inference(forward_subsumption_resolution,[],[f1694,f498]) ).
fof(f1700,plain,
( spl57_2
| spl57_38 ),
inference(avatar_split_clause,[],[f1699,f1637,f554]) ).
fof(f2081,plain,
( ~ spl57_38
| ~ spl57_39
| ~ spl57_1
| ~ spl57_26 ),
inference(avatar_split_clause,[],[f1635,f1350,f550,f1641,f1637]) ).
fof(f2594,plain,
( nil = sK55
| ~ ssList(sK55)
| spl57_39 ),
inference(resolution,[],[f1643,f395]) ).
fof(f2595,plain,
( ~ ssList(sK55)
| spl57_2
| spl57_39 ),
inference(forward_subsumption_resolution,[],[f2594,f556]) ).
fof(f2596,plain,
( $false
| spl57_2
| spl57_39 ),
inference(forward_subsumption_resolution,[],[f2595,f498]) ).
fof(f2597,plain,
( spl57_2
| spl57_39 ),
inference(avatar_contradiction_clause,[],[f2596]) ).
fof(f2702,plain,
( ! [X4] :
( memberP(nil,X4)
| ~ ssItem(X4)
| ~ memberP(sK56,X4) )
| ~ spl57_2 ),
inference(forward_demodulation,[],[f504,f555]) ).
fof(f2703,plain,
( ! [X4] :
( ~ memberP(sK56,X4)
| ~ ssItem(X4) )
| ~ spl57_2 ),
inference(forward_subsumption_resolution,[],[f2702,f419]) ).
fof(f2744,plain,
( memberP(sK56,sK50(sK56))
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ~ spl57_30 ),
inference(superposition,[],[f545,f1372]) ).
fof(f2755,plain,
( ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ~ spl57_2
| ~ spl57_30 ),
inference(forward_subsumption_resolution,[],[f2744,f2703]) ).
fof(f2844,plain,
( ~ spl57_19
| ~ spl57_18
| ~ spl57_2
| ~ spl57_30 ),
inference(avatar_split_clause,[],[f2755,f1370,f554,f1273,f1277]) ).
fof(f3245,plain,
( nil = sK56
| ~ ssList(sK56)
| spl57_19 ),
inference(resolution,[],[f1279,f394]) ).
fof(f3246,plain,
( ~ ssList(sK56)
| spl57_1
| spl57_19 ),
inference(forward_subsumption_resolution,[],[f3245,f552]) ).
fof(f3247,plain,
( $false
| spl57_1
| spl57_19 ),
inference(forward_subsumption_resolution,[],[f3246,f499]) ).
fof(f3248,plain,
( spl57_1
| spl57_19 ),
inference(avatar_contradiction_clause,[],[f3247]) ).
cnf(s1,plain,
( ~ spl57_1
| ~ spl57_2 ),
inference(sat_conversion,[],[f557]) ).
cnf(s2,plain,
( spl57_1
| spl57_2 ),
inference(sat_conversion,[],[f558]) ).
cnf(s26,plain,
( spl57_2
| spl57_26 ),
inference(sat_conversion,[],[f1353]) ).
cnf(s30,plain,
( spl57_1
| spl57_30 ),
inference(sat_conversion,[],[f1373]) ).
cnf(s32,plain,
( spl57_1
| spl57_18 ),
inference(sat_conversion,[],[f1380]) ).
cnf(s51,plain,
( spl57_2
| spl57_38 ),
inference(sat_conversion,[],[f1700]) ).
cnf(s64,plain,
( ~ spl57_1
| ~ spl57_26
| ~ spl57_38
| ~ spl57_39 ),
inference(sat_conversion,[],[f2081]) ).
cnf(s102,plain,
( spl57_2
| spl57_39 ),
inference(sat_conversion,[],[f2597]) ).
cnf(s141,plain,
( ~ spl57_2
| ~ spl57_18
| ~ spl57_19
| ~ spl57_30 ),
inference(sat_conversion,[],[f2844]) ).
cnf(s215,plain,
( spl57_1
| spl57_19 ),
inference(sat_conversion,[],[f3248]) ).
cnf(s220,plain,
spl57_1,
inference(rat,[],[s141,s2,s30,s32,s215]) ).
cnf(s224,plain,
~ spl57_2,
inference(rat,[],[s1,s220]) ).
cnf(s228,plain,
spl57_39,
inference(rat,[],[s102,s224]) ).
cnf(s229,plain,
spl57_38,
inference(rat,[],[s51,s224]) ).
cnf(s231,plain,
spl57_26,
inference(rat,[],[s26,s224]) ).
cnf(s234,plain,
$false,
inference(rat,[],[s64,s228,s220,s229,s231]) ).
fof(f3249,plain,
$false,
inference(avatar_sat_refutation,[],[s234]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC025+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 28 07:29:37 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 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
% 0.36/0.47 % (179205)Will run a generic schedule for satisfiability detection.
% 0.36/0.47 % (179213)dis+10_1_sil=32000:sp=arity:random_seed=1131794812:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.36/0.47 % (179211)% WARNING: option uhcvi not known.
% 0.36/0.47 % (179210)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=519193487_2999 on theBenchmark for (2999ds/0Mi)
% 0.36/0.47 % (179212)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2631187504:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.36/0.47 % (179216)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2059319958:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.36/0.47 % (179214)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1172206893:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.36/0.47 % (179215)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4260669505:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.36/0.47 % (179211)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1999631114:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.36/0.47 % TRYING [1]
% 0.36/0.47 % TRYING [2]
% 0.36/0.47 % TRYING [3]
% 0.36/0.47 % (179213) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-179205-179213"...
% 0.36/0.47 % (179213)...printing done.
% 0.36/0.47 % (179213)Refutation found. Thanks to Tanya!
% 0.36/0.47 % SZS status Theorem for theBenchmark
% 0.36/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.36/0.47 % (179213)------------------------------
% 0.36/0.47 % (179213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.47 % (179213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.47 % (179213)CaDiCaL version: 2.1.3
% 0.36/0.47 % (179213)Termination reason: Refutation
% 0.36/0.47 % (179213)Time elapsed: 0.034 s
% 0.36/0.47 % (179213)Peak memory usage: 14 MB
% 0.36/0.47 % (179213)Instructions burned: 103 (million)
% 0.36/0.47 % (179205)Success in time 0.063 s
% 0.36/0.47 % Vampire exiting
%------------------------------------------------------------------------------