%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG194+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 09:18:50 AM UTC 2026
% Result : Theorem 0.81s 0.96s
% Output : Refutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 89 ( 10 unt; 10 def)
% Number of atoms : 318 ( 148 equ)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 372 ( 143 ~; 160 |; 60 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 10 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,conjecture,
( ( op(e0,e0) != e0
& op(e1,e1) != e1
& op(e2,e2) != e2
& op(e3,e3) != e3
& op(e4,e4) != e4
& op(e5,e5) != e5
& op(e6,e6) != e6 )
| ( op(e0,e0) = e0
& op(e1,e1) = e1
& op(e2,e2) = e2
& op(e3,e3) = e3
& op(e4,e4) = e4
& op(e5,e5) = e5
& op(e6,e6) = e6 )
| ( ( op(e0,e0) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2
| op(e3,e3) = e3
| op(e4,e4) = e4
| op(e5,e5) = e5
| op(e6,e6) = e6 )
& ( op(e0,e0) != e0
| op(e1,e1) != e1
| op(e2,e2) != e2
| op(e3,e3) != e3
| op(e4,e4) != e4
| op(e5,e5) != e5
| op(e6,e6) != e6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f7,negated_conjecture,
~ ( ( op(e0,e0) != e0
& op(e1,e1) != e1
& op(e2,e2) != e2
& op(e3,e3) != e3
& op(e4,e4) != e4
& op(e5,e5) != e5
& op(e6,e6) != e6 )
| ( op(e0,e0) = e0
& op(e1,e1) = e1
& op(e2,e2) = e2
& op(e3,e3) = e3
& op(e4,e4) = e4
& op(e5,e5) = e5
& op(e6,e6) = e6 )
| ( ( op(e0,e0) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2
| op(e3,e3) = e3
| op(e4,e4) = e4
| op(e5,e5) = e5
| op(e6,e6) = e6 )
& ( op(e0,e0) != e0
| op(e1,e1) != e1
| op(e2,e2) != e2
| op(e3,e3) != e3
| op(e4,e4) != e4
| op(e5,e5) != e5
| op(e6,e6) != e6 ) ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
( ( e0 = op(e0,e0)
| e1 = op(e1,e1)
| e2 = op(e2,e2)
| e3 = op(e3,e3)
| e4 = op(e4,e4)
| e5 = op(e5,e5)
| e6 = op(e6,e6) )
& ( e0 != op(e0,e0)
| e1 != op(e1,e1)
| e2 != op(e2,e2)
| e3 != op(e3,e3)
| e4 != op(e4,e4)
| e5 != op(e5,e5)
| e6 != op(e6,e6) )
& ( ( e0 != op(e0,e0)
& e1 != op(e1,e1)
& e2 != op(e2,e2)
& e3 != op(e3,e3)
& e4 != op(e4,e4)
& e5 != op(e5,e5)
& e6 != op(e6,e6) )
| ( e0 = op(e0,e0)
& e1 = op(e1,e1)
& e2 = op(e2,e2)
& e3 = op(e3,e3)
& e4 = op(e4,e4)
& e5 = op(e5,e5)
& e6 = op(e6,e6) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,definition,
( ( e0 = op(e0,e0)
& e1 = op(e1,e1)
& e2 = op(e2,e2)
& e3 = op(e3,e3)
& e4 = op(e4,e4)
& e5 = op(e5,e5)
& e6 = op(e6,e6) )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f10,plain,
( ( e0 = op(e0,e0)
| e1 = op(e1,e1)
| e2 = op(e2,e2)
| e3 = op(e3,e3)
| e4 = op(e4,e4)
| e5 = op(e5,e5)
| e6 = op(e6,e6) )
& ( e0 != op(e0,e0)
| e1 != op(e1,e1)
| e2 != op(e2,e2)
| e3 != op(e3,e3)
| e4 != op(e4,e4)
| e5 != op(e5,e5)
| e6 != op(e6,e6) )
& ( ( e0 != op(e0,e0)
& e1 != op(e1,e1)
& e2 != op(e2,e2)
& e3 != op(e3,e3)
& e4 != op(e4,e4)
& e5 != op(e5,e5)
& e6 != op(e6,e6) )
| sP0 ) ),
inference(definition_folding,[],[f8,f9]) ).
fof(f11,plain,
( ( e0 = op(e0,e0)
& e1 = op(e1,e1)
& e2 = op(e2,e2)
& e3 = op(e3,e3)
& e4 = op(e4,e4)
& e5 = op(e5,e5)
& e6 = op(e6,e6) )
| ~ sP0 ),
inference(nnf_transformation,[],[f9]) ).
fof(f523,plain,
( e6 = op(e6,e6)
| ~ sP0 ),
inference(cnf_transformation,[],[f11]) ).
fof(f524,plain,
( e5 = op(e5,e5)
| ~ sP0 ),
inference(cnf_transformation,[],[f11]) ).
fof(f525,plain,
( e4 = op(e4,e4)
| ~ sP0 ),
inference(cnf_transformation,[],[f11]) ).
fof(f526,plain,
( e3 = op(e3,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f11]) ).
fof(f527,plain,
( e2 = op(e2,e2)
| ~ sP0 ),
inference(cnf_transformation,[],[f11]) ).
fof(f528,plain,
( e1 = op(e1,e1)
| ~ sP0 ),
inference(cnf_transformation,[],[f11]) ).
fof(f529,plain,
( e0 = op(e0,e0)
| ~ sP0 ),
inference(cnf_transformation,[],[f11]) ).
fof(f530,plain,
( e6 != op(e6,e6)
| sP0 ),
inference(cnf_transformation,[],[f10]) ).
fof(f531,plain,
( e5 != op(e5,e5)
| sP0 ),
inference(cnf_transformation,[],[f10]) ).
fof(f532,plain,
( e4 != op(e4,e4)
| sP0 ),
inference(cnf_transformation,[],[f10]) ).
fof(f533,plain,
( e3 != op(e3,e3)
| sP0 ),
inference(cnf_transformation,[],[f10]) ).
fof(f534,plain,
( e2 != op(e2,e2)
| sP0 ),
inference(cnf_transformation,[],[f10]) ).
fof(f535,plain,
( e1 != op(e1,e1)
| sP0 ),
inference(cnf_transformation,[],[f10]) ).
fof(f536,plain,
( e0 != op(e0,e0)
| sP0 ),
inference(cnf_transformation,[],[f10]) ).
fof(f537,plain,
( e0 != op(e0,e0)
| e1 != op(e1,e1)
| e2 != op(e2,e2)
| e3 != op(e3,e3)
| e4 != op(e4,e4)
| e5 != op(e5,e5)
| e6 != op(e6,e6) ),
inference(cnf_transformation,[],[f10]) ).
fof(f538,plain,
( e0 = op(e0,e0)
| e1 = op(e1,e1)
| e2 = op(e2,e2)
| e3 = op(e3,e3)
| e4 = op(e4,e4)
| e5 = op(e5,e5)
| e6 = op(e6,e6) ),
inference(cnf_transformation,[],[f10]) ).
fof(f539,definition,
! [X0,X1] :
( sQ1_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ1_eqProxy])],[equality_proxy_definition]) ).
fof(f1051,plain,
( sQ1_eqProxy(e0,op(e0,e0))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f529,f539]) ).
fof(f1052,plain,
( sQ1_eqProxy(e1,op(e1,e1))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f528,f539]) ).
fof(f1053,plain,
( sQ1_eqProxy(e2,op(e2,e2))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f527,f539]) ).
fof(f1054,plain,
( sQ1_eqProxy(e3,op(e3,e3))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f526,f539]) ).
fof(f1055,plain,
( sQ1_eqProxy(e4,op(e4,e4))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f525,f539]) ).
fof(f1056,plain,
( sQ1_eqProxy(e5,op(e5,e5))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f524,f539]) ).
fof(f1057,plain,
( sQ1_eqProxy(e6,op(e6,e6))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f523,f539]) ).
fof(f1058,plain,
( sQ1_eqProxy(e0,op(e0,e0))
| sQ1_eqProxy(e1,op(e1,e1))
| sQ1_eqProxy(e2,op(e2,e2))
| sQ1_eqProxy(e3,op(e3,e3))
| sQ1_eqProxy(e4,op(e4,e4))
| sQ1_eqProxy(e5,op(e5,e5))
| sQ1_eqProxy(e6,op(e6,e6)) ),
inference(equality_proxy_replacement,[],[f538,f539,f539,f539,f539,f539,f539,f539]) ).
fof(f1059,plain,
( ~ sQ1_eqProxy(e0,op(e0,e0))
| ~ sQ1_eqProxy(e1,op(e1,e1))
| ~ sQ1_eqProxy(e2,op(e2,e2))
| ~ sQ1_eqProxy(e3,op(e3,e3))
| ~ sQ1_eqProxy(e4,op(e4,e4))
| ~ sQ1_eqProxy(e5,op(e5,e5))
| ~ sQ1_eqProxy(e6,op(e6,e6)) ),
inference(equality_proxy_replacement,[],[f537,f539,f539,f539,f539,f539,f539,f539]) ).
fof(f1060,plain,
( ~ sQ1_eqProxy(e0,op(e0,e0))
| sP0 ),
inference(equality_proxy_replacement,[],[f536,f539]) ).
fof(f1061,plain,
( ~ sQ1_eqProxy(e1,op(e1,e1))
| sP0 ),
inference(equality_proxy_replacement,[],[f535,f539]) ).
fof(f1062,plain,
( ~ sQ1_eqProxy(e2,op(e2,e2))
| sP0 ),
inference(equality_proxy_replacement,[],[f534,f539]) ).
fof(f1063,plain,
( ~ sQ1_eqProxy(e3,op(e3,e3))
| sP0 ),
inference(equality_proxy_replacement,[],[f533,f539]) ).
fof(f1064,plain,
( ~ sQ1_eqProxy(e4,op(e4,e4))
| sP0 ),
inference(equality_proxy_replacement,[],[f532,f539]) ).
fof(f1065,plain,
( ~ sQ1_eqProxy(e5,op(e5,e5))
| sP0 ),
inference(equality_proxy_replacement,[],[f531,f539]) ).
fof(f1066,plain,
( ~ sQ1_eqProxy(e6,op(e6,e6))
| sP0 ),
inference(equality_proxy_replacement,[],[f530,f539]) ).
fof(f1070,definition,
( spl2_1
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f1073,definition,
( spl2_2
<=> sQ1_eqProxy(e6,op(e6,e6)) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f1075,plain,
( spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f1066,f1073,f1070]) ).
fof(f1077,definition,
( spl2_3
<=> sQ1_eqProxy(e5,op(e5,e5)) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f1079,plain,
( spl2_1
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f1065,f1077,f1070]) ).
fof(f1081,definition,
( spl2_4
<=> sQ1_eqProxy(e4,op(e4,e4)) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
fof(f1083,plain,
( spl2_1
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f1064,f1081,f1070]) ).
fof(f1085,definition,
( spl2_5
<=> sQ1_eqProxy(e3,op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
fof(f1087,plain,
( spl2_1
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f1063,f1085,f1070]) ).
fof(f1089,definition,
( spl2_6
<=> sQ1_eqProxy(e2,op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
fof(f1091,plain,
( spl2_1
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f1062,f1089,f1070]) ).
fof(f1093,definition,
( spl2_7
<=> sQ1_eqProxy(e1,op(e1,e1)) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
fof(f1095,plain,
( spl2_1
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f1061,f1093,f1070]) ).
fof(f1097,definition,
( spl2_8
<=> sQ1_eqProxy(e0,op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
fof(f1099,plain,
( spl2_1
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f1060,f1097,f1070]) ).
fof(f1100,plain,
( ~ spl2_2
| ~ spl2_3
| ~ spl2_4
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f1059,f1097,f1093,f1089,f1085,f1081,f1077,f1073]) ).
fof(f1108,plain,
( spl2_2
| spl2_3
| spl2_4
| spl2_5
| spl2_6
| spl2_7
| spl2_8 ),
inference(avatar_split_clause,[],[f1058,f1097,f1093,f1089,f1085,f1081,f1077,f1073]) ).
fof(f1110,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f1057,f1073,f1070]) ).
fof(f1111,plain,
( ~ spl2_1
| spl2_3 ),
inference(avatar_split_clause,[],[f1056,f1077,f1070]) ).
fof(f1112,plain,
( ~ spl2_1
| spl2_4 ),
inference(avatar_split_clause,[],[f1055,f1081,f1070]) ).
fof(f1113,plain,
( ~ spl2_1
| spl2_5 ),
inference(avatar_split_clause,[],[f1054,f1085,f1070]) ).
fof(f1114,plain,
( ~ spl2_1
| spl2_6 ),
inference(avatar_split_clause,[],[f1053,f1089,f1070]) ).
fof(f1115,plain,
( ~ spl2_1
| spl2_7 ),
inference(avatar_split_clause,[],[f1052,f1093,f1070]) ).
fof(f1116,plain,
( ~ spl2_1
| spl2_8 ),
inference(avatar_split_clause,[],[f1051,f1097,f1070]) ).
cnf(s1,plain,
( spl2_1
| ~ spl2_2 ),
inference(sat_conversion,[],[f1075]) ).
cnf(s2,plain,
( spl2_1
| ~ spl2_3 ),
inference(sat_conversion,[],[f1079]) ).
cnf(s3,plain,
( spl2_1
| ~ spl2_4 ),
inference(sat_conversion,[],[f1083]) ).
cnf(s4,plain,
( spl2_1
| ~ spl2_5 ),
inference(sat_conversion,[],[f1087]) ).
cnf(s5,plain,
( spl2_1
| ~ spl2_6 ),
inference(sat_conversion,[],[f1091]) ).
cnf(s6,plain,
( spl2_1
| ~ spl2_7 ),
inference(sat_conversion,[],[f1095]) ).
cnf(s7,plain,
( spl2_1
| ~ spl2_8 ),
inference(sat_conversion,[],[f1099]) ).
cnf(s8,plain,
( ~ spl2_2
| ~ spl2_3
| ~ spl2_4
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_8 ),
inference(sat_conversion,[],[f1100]) ).
cnf(s9,plain,
( spl2_2
| spl2_3
| spl2_4
| spl2_5
| spl2_6
| spl2_7
| spl2_8 ),
inference(sat_conversion,[],[f1108]) ).
cnf(s10,plain,
( ~ spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f1110]) ).
cnf(s11,plain,
( ~ spl2_1
| spl2_3 ),
inference(sat_conversion,[],[f1111]) ).
cnf(s12,plain,
( ~ spl2_1
| spl2_4 ),
inference(sat_conversion,[],[f1112]) ).
cnf(s13,plain,
( ~ spl2_1
| spl2_5 ),
inference(sat_conversion,[],[f1113]) ).
cnf(s14,plain,
( ~ spl2_1
| spl2_6 ),
inference(sat_conversion,[],[f1114]) ).
cnf(s15,plain,
( ~ spl2_1
| spl2_7 ),
inference(sat_conversion,[],[f1115]) ).
cnf(s16,plain,
( ~ spl2_1
| spl2_8 ),
inference(sat_conversion,[],[f1116]) ).
cnf(s164,plain,
spl2_1,
inference(rat,[],[s9,s1,s2,s3,s4,s5,s6,s7]) ).
cnf(s165,plain,
spl2_8,
inference(rat,[],[s16,s164]) ).
cnf(s166,plain,
spl2_7,
inference(rat,[],[s15,s164]) ).
cnf(s167,plain,
spl2_6,
inference(rat,[],[s14,s164]) ).
cnf(s168,plain,
spl2_5,
inference(rat,[],[s13,s164]) ).
cnf(s169,plain,
spl2_4,
inference(rat,[],[s12,s164]) ).
cnf(s170,plain,
spl2_3,
inference(rat,[],[s11,s164]) ).
cnf(s171,plain,
spl2_2,
inference(rat,[],[s10,s164]) ).
cnf(s172,plain,
$false,
inference(rat,[],[s8,s165,s166,s167,s168,s171,s169,s170]) ).
fof(f2272,plain,
$false,
inference(avatar_sat_refutation,[],[s172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG194+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n015.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 19:44:47 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 0.81/0.96 % (2940305)Detected formulas, will run a generic FOF schedule.
% 0.81/0.96 % (2940316)dis-21_1_sil=8000:lcm=predicate:random_seed=845354853: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)
% 0.81/0.96 % (2940316)First to succeed.
% 0.81/0.96 % (2940316)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2940305"
% 0.81/0.96 % (2940310)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=2692373861:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.81/0.96 % (2940311)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=2396101609:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.81/0.96 % (2940313)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3279990277:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.81/0.96 % (2940312)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=3394744194:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.81/0.96 % (2940315)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1870342772:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.81/0.96 % (2940314)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2063753417:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.81/0.96 % (2940315)Also succeeded, but the first one will report.
% 0.81/0.96 % (2940314)Also succeeded, but the first one will report.
% 0.81/0.96 % (2940313)Instruction limit reached!
% 0.81/0.96 % (2940313)------------------------------
% 0.81/0.96 % (2940313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.81/0.96 % (2940313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.96 % (2940313)CaDiCaL version: 2.1.3
% 0.81/0.96 % (2940313)Termination reason: Instruction limit
% 0.81/0.96 % (2940313)Termination phase: Saturation
% 0.81/0.96 % (2940313)Time elapsed: 0.051 s
% 0.81/0.96 % (2940313)Peak memory usage: 91 MB
% 0.81/0.96 % (2940313)Instructions burned: 110 (million)
% 0.81/0.96 % (2940316)Refutation found. Thanks to Tanya!
% 0.81/0.96 % SZS status Theorem for theBenchmark
% 0.81/0.96 % SZS output start Proof for theBenchmark
% See solution above
% 2.72/1.16 % (2940316)------------------------------
% 2.72/1.16 % (2940316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.16 % (2940316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.16 % (2940316)CaDiCaL version: 2.1.3
% 2.72/1.16 % (2940316)Termination reason: Refutation
% 2.72/1.16 % (2940316)Time elapsed: 0.009 s
% 2.72/1.16 % (2940316)Peak memory usage: 90 MB
% 2.72/1.16 % (2940316)Instructions burned: 32 (million)
% 2.72/1.16 % (2940316)------------------------------
% 2.72/1.16 % (2940316)------------------------------
% 2.72/1.16 % (2940305)Success in time 0.306 s
% 2.72/1.16 % Vampire exiting
%------------------------------------------------------------------------------