%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU234+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 12:47:55 PM UTC 2026
% Result : Theorem 8.56s 2.07s
% Output : Refutation 8.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 78 ( 11 unt; 6 def)
% Number of atoms : 241 ( 18 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 263 ( 100 ~; 107 |; 38 &)
% ( 11 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 7 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 60 ( 0 sgn 53 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,axiom,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( in(X1,X0)
=> subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_ordinal1) ).
fof(f33,axiom,
! [X0] :
( epsilon_connected(X0)
<=> ! [X1,X2] :
~ ( in(X1,X0)
& in(X2,X0)
& ~ in(X1,X2)
& X1 != X2
& ~ in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_ordinal1) ).
fof(f38,axiom,
! [X0] :
( ordinal(X0)
<=> ( epsilon_transitive(X0)
& epsilon_connected(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_ordinal1) ).
fof(f191,axiom,
! [X0] :
( ordinal(X0)
=> ! [X1] :
( ordinal(X1)
=> ~ ( ~ in(X0,X1)
& X0 != X1
& ~ in(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_ordinal1) ).
fof(f200,conjecture,
! [X0] :
( ! [X1] :
( in(X1,X0)
=> ( ordinal(X1)
& subset(X1,X0) ) )
=> ordinal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t31_ordinal1) ).
fof(f201,negated_conjecture,
~ ! [X0] :
( ! [X1] :
( in(X1,X0)
=> ( ordinal(X1)
& subset(X1,X0) ) )
=> ordinal(X0) ),
inference(negated_conjecture,[status(cth)],[f200]) ).
fof(f302,plain,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f27]) ).
fof(f305,plain,
! [X0] :
( epsilon_connected(X0)
<=> ! [X1,X2] :
( ~ in(X1,X0)
| ~ in(X2,X0)
| in(X1,X2)
| X1 = X2
| in(X2,X1) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f432,plain,
! [X0] :
( ! [X1] :
( in(X0,X1)
| X0 = X1
| in(X1,X0)
| ~ ordinal(X1) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f191]) ).
fof(f433,plain,
! [X0] :
( ! [X1] :
( in(X0,X1)
| X0 = X1
| in(X1,X0)
| ~ ordinal(X1) )
| ~ ordinal(X0) ),
inference(flattening,[],[f432]) ).
fof(f443,plain,
? [X0] :
( ~ ordinal(X0)
& ! [X1] :
( ( ordinal(X1)
& subset(X1,X0) )
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f201]) ).
fof(f564,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(nnf_transformation,[],[f302]) ).
fof(f565,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(rectify,[],[f564]) ).
fof(f566,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ( ~ subset(sK26(X0),X0)
& in(sK26(X0),X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(X1,sK26(X0))],[f565]) ).
fof(f582,plain,
! [X0] :
( ( epsilon_connected(X0)
| ? [X1,X2] :
( in(X1,X0)
& in(X2,X0)
& ~ in(X1,X2)
& X1 != X2
& ~ in(X2,X1) ) )
& ( ! [X1,X2] :
( ~ in(X1,X0)
| ~ in(X2,X0)
| in(X1,X2)
| X1 = X2
| in(X2,X1) )
| ~ epsilon_connected(X0) ) ),
inference(nnf_transformation,[],[f305]) ).
fof(f583,plain,
! [X0] :
( ( epsilon_connected(X0)
| ? [X1,X2] :
( in(X1,X0)
& in(X2,X0)
& ~ in(X1,X2)
& X1 != X2
& ~ in(X2,X1) ) )
& ( ! [X3,X4] :
( ~ in(X3,X0)
| ~ in(X4,X0)
| in(X3,X4)
| X3 = X4
| in(X4,X3) )
| ~ epsilon_connected(X0) ) ),
inference(rectify,[],[f582]) ).
fof(f584,plain,
! [X0] :
( ( epsilon_connected(X0)
| ( in(sK36(X0),X0)
& in(sK37(X0),X0)
& ~ in(sK36(X0),sK37(X0))
& sK36(X0) != sK37(X0)
& ~ in(sK37(X0),sK36(X0)) ) )
& ( ! [X3,X4] :
( ~ in(X3,X0)
| ~ in(X4,X0)
| in(X3,X4)
| X3 = X4
| in(X4,X3) )
| ~ epsilon_connected(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36,sK37]),skolemize(X1,sK36(X0)),skolemize(X2,sK37(X0))],[f583]) ).
fof(f596,plain,
! [X0] :
( ( ordinal(X0)
| ~ epsilon_transitive(X0)
| ~ epsilon_connected(X0) )
& ( ( epsilon_transitive(X0)
& epsilon_connected(X0) )
| ~ ordinal(X0) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f597,plain,
! [X0] :
( ( ordinal(X0)
| ~ epsilon_transitive(X0)
| ~ epsilon_connected(X0) )
& ( ( epsilon_transitive(X0)
& epsilon_connected(X0) )
| ~ ordinal(X0) ) ),
inference(flattening,[],[f596]) ).
fof(f669,plain,
( ~ ordinal(sK84)
& ! [X1] :
( ( ordinal(X1)
& subset(X1,sK84) )
| ~ in(X1,sK84) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK84]),skolemize(X0,sK84)],[f443]) ).
fof(f798,plain,
! [X0] :
( in(sK26(X0),X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f566]) ).
fof(f799,plain,
! [X0] :
( ~ subset(sK26(X0),X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f566]) ).
fof(f829,plain,
! [X0] :
( ~ in(sK37(X0),sK36(X0))
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f584]) ).
fof(f830,plain,
! [X0] :
( sK36(X0) != sK37(X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f584]) ).
fof(f831,plain,
! [X0] :
( ~ in(sK36(X0),sK37(X0))
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f584]) ).
fof(f832,plain,
! [X0] :
( in(sK37(X0),X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f584]) ).
fof(f833,plain,
! [X0] :
( in(sK36(X0),X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f584]) ).
fof(f852,plain,
! [X0] :
( ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0)
| ordinal(X0) ),
inference(cnf_transformation,[],[f597]) ).
fof(f1095,plain,
! [X0,X1] :
( ~ ordinal(X0)
| X0 = X1
| in(X1,X0)
| ~ ordinal(X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f433]) ).
fof(f1107,plain,
! [X1] :
( subset(X1,sK84)
| ~ in(X1,sK84) ),
inference(cnf_transformation,[],[f669]) ).
fof(f1108,plain,
! [X1] :
( ~ in(X1,sK84)
| ordinal(X1) ),
inference(cnf_transformation,[],[f669]) ).
fof(f1109,plain,
~ ordinal(sK84),
inference(cnf_transformation,[],[f669]) ).
fof(f1529,plain,
( epsilon_transitive(sK84)
| ~ in(sK26(sK84),sK84) ),
inference(resolution,[],[f799,f1107]) ).
fof(f1530,plain,
epsilon_transitive(sK84),
inference(forward_subsumption_resolution,[],[f1529,f798]) ).
fof(f1658,plain,
( epsilon_connected(sK84)
| ordinal(sK36(sK84)) ),
inference(resolution,[],[f833,f1108]) ).
fof(f1660,definition,
( spl96_1
<=> ordinal(sK36(sK84)) ),
introduced(definition,[new_symbols(definition,[spl96_1])],[avatar_definition]) ).
fof(f1661,plain,
( ordinal(sK36(sK84))
| ~ spl96_1 ),
inference(avatar_component_clause,[],[f1660]) ).
fof(f1663,definition,
( spl96_2
<=> epsilon_connected(sK84) ),
introduced(definition,[new_symbols(definition,[spl96_2])],[avatar_definition]) ).
fof(f1664,plain,
( epsilon_connected(sK84)
| ~ spl96_2 ),
inference(avatar_component_clause,[],[f1663]) ).
fof(f1665,plain,
( spl96_1
| spl96_2 ),
inference(avatar_split_clause,[],[f1658,f1663,f1660]) ).
fof(f1684,plain,
( ~ epsilon_transitive(sK84)
| ordinal(sK84)
| ~ spl96_2 ),
inference(resolution,[],[f1664,f852]) ).
fof(f1686,plain,
( ordinal(sK84)
| ~ spl96_2 ),
inference(forward_subsumption_resolution,[],[f1684,f1530]) ).
fof(f1687,plain,
( $false
| ~ spl96_2 ),
inference(forward_subsumption_resolution,[],[f1686,f1109]) ).
fof(f1688,plain,
~ spl96_2,
inference(avatar_contradiction_clause,[],[f1687]) ).
fof(f1693,plain,
( ! [X0] :
( ~ ordinal(X0)
| in(X0,sK36(sK84))
| sK36(sK84) = X0
| in(sK36(sK84),X0) )
| ~ spl96_1 ),
inference(resolution,[],[f1661,f1095]) ).
fof(f1871,plain,
( epsilon_connected(sK84)
| ordinal(sK37(sK84)) ),
inference(resolution,[],[f832,f1108]) ).
fof(f1873,definition,
( spl96_21
<=> ordinal(sK37(sK84)) ),
introduced(definition,[new_symbols(definition,[spl96_21])],[avatar_definition]) ).
fof(f1874,plain,
( ordinal(sK37(sK84))
| ~ spl96_21 ),
inference(avatar_component_clause,[],[f1873]) ).
fof(f1875,plain,
( spl96_21
| spl96_2 ),
inference(avatar_split_clause,[],[f1871,f1663,f1873]) ).
fof(f1899,plain,
( in(sK37(sK84),sK36(sK84))
| sK36(sK84) = sK37(sK84)
| in(sK36(sK84),sK37(sK84))
| ~ spl96_1
| ~ spl96_21 ),
inference(resolution,[],[f1874,f1693]) ).
fof(f1901,definition,
( spl96_26
<=> in(sK36(sK84),sK37(sK84)) ),
introduced(definition,[new_symbols(definition,[spl96_26])],[avatar_definition]) ).
fof(f1902,plain,
( in(sK36(sK84),sK37(sK84))
| ~ spl96_26 ),
inference(avatar_component_clause,[],[f1901]) ).
fof(f1904,definition,
( spl96_27
<=> sK36(sK84) = sK37(sK84) ),
introduced(definition,[new_symbols(definition,[spl96_27])],[avatar_definition]) ).
fof(f1905,plain,
( sK36(sK84) = sK37(sK84)
| ~ spl96_27 ),
inference(avatar_component_clause,[],[f1904]) ).
fof(f1907,definition,
( spl96_28
<=> in(sK37(sK84),sK36(sK84)) ),
introduced(definition,[new_symbols(definition,[spl96_28])],[avatar_definition]) ).
fof(f1908,plain,
( in(sK37(sK84),sK36(sK84))
| ~ spl96_28 ),
inference(avatar_component_clause,[],[f1907]) ).
fof(f1909,plain,
( spl96_26
| spl96_27
| spl96_28
| ~ spl96_1
| ~ spl96_21 ),
inference(avatar_split_clause,[],[f1899,f1873,f1660,f1907,f1904,f1901]) ).
fof(f1910,plain,
( epsilon_connected(sK84)
| ~ spl96_26 ),
inference(resolution,[],[f1902,f831]) ).
fof(f1913,plain,
( spl96_2
| ~ spl96_26 ),
inference(avatar_split_clause,[],[f1910,f1901,f1663]) ).
fof(f1918,plain,
( sK36(sK84) != sK36(sK84)
| epsilon_connected(sK84)
| ~ spl96_27 ),
inference(superposition,[],[f830,f1905]) ).
fof(f1919,plain,
( epsilon_connected(sK84)
| ~ spl96_27 ),
inference(trivial_inequality_removal,[],[f1918]) ).
fof(f1920,plain,
( spl96_2
| ~ spl96_27 ),
inference(avatar_split_clause,[],[f1919,f1904,f1663]) ).
fof(f1926,plain,
( epsilon_connected(sK84)
| ~ spl96_28 ),
inference(resolution,[],[f1908,f829]) ).
fof(f1932,plain,
( spl96_2
| ~ spl96_28 ),
inference(avatar_split_clause,[],[f1926,f1907,f1663]) ).
cnf(s1,plain,
( spl96_1
| spl96_2 ),
inference(sat_conversion,[],[f1665]) ).
cnf(s7,plain,
~ spl96_2,
inference(sat_conversion,[],[f1688]) ).
cnf(s17,plain,
( spl96_2
| spl96_21 ),
inference(sat_conversion,[],[f1875]) ).
cnf(s22,plain,
( ~ spl96_1
| ~ spl96_21
| spl96_26
| spl96_27
| spl96_28 ),
inference(sat_conversion,[],[f1909]) ).
cnf(s23,plain,
( spl96_2
| ~ spl96_26 ),
inference(sat_conversion,[],[f1913]) ).
cnf(s24,plain,
( spl96_2
| ~ spl96_27 ),
inference(sat_conversion,[],[f1920]) ).
cnf(s27,plain,
( spl96_2
| ~ spl96_28 ),
inference(sat_conversion,[],[f1932]) ).
cnf(s28,plain,
~ spl96_28,
inference(rat,[],[s27,s7]) ).
cnf(s29,plain,
~ spl96_27,
inference(rat,[],[s24,s7]) ).
cnf(s30,plain,
~ spl96_26,
inference(rat,[],[s23,s7]) ).
cnf(s35,plain,
spl96_21,
inference(rat,[],[s17,s7]) ).
cnf(s36,plain,
~ spl96_1,
inference(rat,[],[s22,s28,s29,s30,s35]) ).
cnf(s41,plain,
$false,
inference(rat,[],[s1,s7,s36]) ).
fof(f1933,plain,
$false,
inference(avatar_sat_refutation,[],[s41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU234+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 % Computer : n019.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Mon Sep 28 04:14:04 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.44 Running first-order theorem proving
% 0.14/0.44 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
% 8.56/2.07 % (3652157)Detected formulas, will run a generic FOF schedule.
% 8.56/2.07 % (3652166)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4221687694:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.56/2.07 % (3652165)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3468645134:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.56/2.07 % (3652163)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=554174275:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.56/2.07 % (3652162)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=2191730074:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.56/2.07 % (3652164)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=1321728027:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.56/2.07 % (3652167)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2120658474:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.56/2.07 % (3652166)Instruction limit reached!
% 8.56/2.07 % (3652166)------------------------------
% 8.56/2.07 % (3652166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.56/2.07 % (3652166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.56/2.07 % (3652166)CaDiCaL version: 2.1.3
% 8.56/2.07 % (3652166)Termination reason: Instruction limit
% 8.56/2.07 % (3652166)Termination phase: Saturation
% 8.56/2.07 % (3652166)Time elapsed: 0.044 s
% 8.56/2.07 % (3652166)Peak memory usage: 90 MB
% 8.56/2.07 % (3652166)Instructions burned: 119 (million)
% 8.56/2.07 % (3652168)dis-21_1_sil=8000:lcm=predicate:random_seed=2969130767: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)
% 8.56/2.07 % (3652168)Instruction limit reached!
% 8.56/2.07 % (3652168)------------------------------
% 8.56/2.07 % (3652168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.56/2.07 % (3652168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.56/2.07 % (3652168)CaDiCaL version: 2.1.3
% 8.56/2.07 % (3652168)Termination reason: Instruction limit
% 8.56/2.07 % (3652168)Termination phase: Saturation
% 8.56/2.07 % (3652168)Time elapsed: 0.056 s
% 8.56/2.07 % (3652168)Peak memory usage: 89 MB
% 8.56/2.07 % (3652168)Instructions burned: 131 (million)
% 8.56/2.07 % (3652165)Instruction limit reached!
% 8.56/2.07 % (3652165)------------------------------
% 8.56/2.07 % (3652165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.56/2.07 % (3652165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.56/2.07 % (3652165)CaDiCaL version: 2.1.3
% 8.56/2.07 % (3652165)Termination reason: Instruction limit
% 8.56/2.07 % (3652165)Termination phase: Saturation
% 8.56/2.07 % (3652165)Time elapsed: 0.069 s
% 8.56/2.07 % (3652165)Peak memory usage: 90 MB
% 8.56/2.07 % (3652165)Instructions burned: 110 (million)
% 8.56/2.07 % (3652175)lrs+10_1_sil=8000:sp=occurrence:random_seed=3513026523:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.56/2.07 % (3652167)Instruction limit reached!
% 8.56/2.07 % (3652167)------------------------------
% 8.56/2.07 % (3652167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.56/2.07 % (3652167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.56/2.07 % (3652167)CaDiCaL version: 2.1.3
% 8.56/2.07 % (3652167)Termination reason: Instruction limit
% 8.56/2.07 % (3652167)Termination phase: Saturation
% 8.56/2.07 % (3652167)Time elapsed: 0.102 s
% 8.56/2.07 % (3652167)Peak memory usage: 91 MB
% 8.56/2.07 % (3652167)Instructions burned: 140 (million)
% 8.56/2.07 % (3652178)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1661744857:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.56/2.07 % (3652177)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2564406251:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.56/2.07 % (3652175)Instruction limit reached!
% 8.56/2.07 % (3652175)------------------------------
% 8.56/2.07 % (3652175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.56/2.07 % (3652175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.56/2.07 % (3652175)CaDiCaL version: 2.1.3
% 8.56/2.07 % (3652175)Termination reason: Instruction limit
% 8.56/2.07 % (3652175)Termination phase: Saturation
% 8.56/2.07 % (3652175)Time elapsed: 0.102 s
% 8.56/2.07 % (3652175)Peak memory usage: 93 MB
% 8.56/2.07 % (3652175)Instructions burned: 287 (million)
% 8.56/2.07 % (3652177)Refutation not found, incomplete strategy
% 8.56/2.07 % (3652177)------------------------------
% 8.56/2.07 % (3652177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.56/2.07 % (3652177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.56/2.07 % (3652177)CaDiCaL version: 2.1.3
% 8.56/2.07 % (3652177)Termination reason: Refutation not found, incomplete strategy
% 8.56/2.07 % (3652177)Time elapsed: 0.003 s
% 8.56/2.07 % (3652177)Peak memory usage: 89 MB
% 8.56/2.07 % (3652177)Instructions burned: 3 (million)
% 8.56/2.07 % (3652180)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=684011852:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 8.56/2.07 % (3652183)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=695647486:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 8.56/2.07 % (3652183)Instruction limit reached!
% 8.56/2.07 % (3652183)------------------------------
% 8.56/2.07 % (3652183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.56/2.07 % (3652183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.56/2.07 % (3652183)CaDiCaL version: 2.1.3
% 8.56/2.07 % (3652183)Termination reason: Instruction limit
% 8.56/2.07 % (3652183)Termination phase: Saturation
% 8.56/2.07 % (3652183)Time elapsed: 0.100 s
% 8.56/2.07 % (3652183)Peak memory usage: 91 MB
% 8.56/2.07 % (3652183)Instructions burned: 294 (million)
% 8.56/2.07 % (3652180)Instruction limit reached!
% 8.56/2.07 % (3652180)------------------------------
% 8.56/2.07 % (3652180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.56/2.07 % (3652180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.56/2.07 % (3652180)CaDiCaL version: 2.1.3
% 8.56/2.07 % (3652180)Termination reason: Instruction limit
% 8.56/2.07 % (3652180)Termination phase: Saturation
% 8.56/2.07 % (3652180)Time elapsed: 0.141 s
% 8.56/2.07 % (3652180)Peak memory usage: 93 MB
% 8.56/2.07 % (3652180)Instructions burned: 248 (million)
% 8.56/2.07 % (3652178)Instruction limit reached!
% 8.56/2.07 % (3652178)------------------------------
% 8.56/2.07 % (3652178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.56/2.07 % (3652178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.56/2.07 % (3652178)CaDiCaL version: 2.1.3
% 8.56/2.07 % (3652178)Termination reason: Instruction limit
% 8.56/2.07 % (3652178)Termination phase: Saturation
% 8.56/2.07 % (3652178)Time elapsed: 0.220 s
% 8.56/2.07 % (3652178)Peak memory usage: 93 MB
% 8.56/2.07 % (3652178)Instructions burned: 325 (million)
% 8.56/2.07 % (3652177)------------------------------
% 8.56/2.07 % (3652177)------------------------------
% 8.56/2.07 % (3652186)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3833474431:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 8.56/2.07 % (3652187)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2617470487:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 8.56/2.07 % (3652188)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=855234704:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 8.56/2.07 % (3652189)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2999131193:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 8.56/2.07 % (3652187)Instruction limit reached!
% 8.56/2.07 % (3652187)------------------------------
% 8.56/2.07 % (3652187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.56/2.07 % (3652187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.56/2.07 % (3652187)CaDiCaL version: 2.1.3
% 8.56/2.07 % (3652187)Termination reason: Instruction limit
% 8.56/2.07 % (3652187)Termination phase: Saturation
% 8.56/2.07 % (3652187)Time elapsed: 0.070 s
% 8.56/2.07 % (3652187)Peak memory usage: 90 MB
% 8.56/2.07 % (3652187)Instructions burned: 113 (million)
% 8.56/2.07 % (3652188)Instruction limit reached!
% 8.56/2.07 % (3652188)------------------------------
% 8.56/2.07 % (3652188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.56/2.07 % (3652188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.56/2.07 % (3652188)CaDiCaL version: 2.1.3
% 8.56/2.07 % (3652188)Termination reason: Instruction limit
% 8.56/2.07 % (3652188)Termination phase: Saturation
% 8.56/2.07 % (3652188)Time elapsed: 0.069 s
% 8.56/2.07 % (3652188)Peak memory usage: 90 MB
% 8.56/2.07 % (3652188)Instructions burned: 128 (million)
% 8.56/2.07 % (3652189)Instruction limit reached!
% 8.56/2.07 % (3652189)------------------------------
% 8.56/2.07 % (3652189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.56/2.07 % (3652189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.56/2.07 % (3652189)CaDiCaL version: 2.1.3
% 8.56/2.07 % (3652189)Termination reason: Instruction limit
% 8.56/2.07 % (3652189)Termination phase: Saturation
% 8.56/2.07 % (3652189)Time elapsed: 0.069 s
% 8.56/2.07 % (3652189)Peak memory usage: 89 MB
% 8.56/2.07 % (3652189)Instructions burned: 115 (million)
% 8.56/2.07 % (3652194)lrs+10_1_sil=8000:sp=occurrence:random_seed=2953466800:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 8.56/2.07 % (3652195)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=222538341:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 8.56/2.07 % (3652196)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3450511191:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 8.56/2.07 % (3652163)First to succeed.
% 8.56/2.07 % (3652163)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3652157"
% 8.56/2.07 % (3652186)Also succeeded, but the first one will report.
% 8.56/2.07 % (3652195)Instruction limit reached!
% 8.56/2.07 % (3652195)------------------------------
% 8.56/2.07 % (3652195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.56/2.07 % (3652195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.56/2.07 % (3652195)CaDiCaL version: 2.1.3
% 8.56/2.07 % (3652195)Termination reason: Instruction limit
% 8.56/2.07 % (3652195)Termination phase: Saturation
% 8.56/2.07 % (3652195)Time elapsed: 0.260 s
% 8.56/2.07 % (3652195)Peak memory usage: 93 MB
% 8.56/2.07 % (3652195)Instructions burned: 437 (million)
% 8.56/2.07 % (3652163)Refutation found. Thanks to Tanya!
% 8.56/2.07 % SZS status Theorem for theBenchmark
% 8.56/2.07 % SZS output start Proof for theBenchmark
% See solution above
% 8.93/2.26 % (3652163)------------------------------
% 8.93/2.26 % (3652163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.93/2.26 % (3652163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/2.26 % (3652163)CaDiCaL version: 2.1.3
% 8.93/2.26 % (3652163)Termination reason: Refutation
% 8.93/2.26 % (3652163)Time elapsed: 0.780 s
% 8.93/2.26 % (3652163)Peak memory usage: 136 MB
% 8.93/2.26 % (3652163)Instructions burned: 1197 (million)
% 8.93/2.26 % (3652163)------------------------------
% 8.93/2.26 % (3652163)------------------------------
% 8.93/2.26 % (3652157)Success in time 1.186 s
% 8.93/2.26 % Vampire exiting
%------------------------------------------------------------------------------