%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX033+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 01:45:43 PM UTC 2026
% Result : Theorem 6.74s 1.87s
% Output : Refutation 7.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 14
% Syntax : Number of formulae : 88 ( 21 unt; 9 def)
% Number of atoms : 264 ( 125 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 287 ( 111 ~; 129 |; 24 &)
% ( 7 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 8 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 104 ( 0 sgn 88 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( s(X0) = s(X1)
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',id2) ).
fof(f45,axiom,
! [X0] : '@+'('0',X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','corollary-(plus:zero)') ).
fof(f46,axiom,
! [X0,X1] :
( nat_succeeds(X0)
=> '@+'(s(X0),X1) = s('@+'(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','corollary-(plus:successor)') ).
fof(f52,axiom,
( ! [X0] :
( ( ? [X1] :
( X0 = s(X1)
& nat_succeeds(X1)
& ! [X2,X3] :
( '@+'(X1,X2) = '@+'(X1,X3)
=> X2 = X3 ) )
| X0 = '0' )
=> ! [X2,X3] :
( '@+'(X0,X2) = '@+'(X0,X3)
=> X2 = X3 ) )
=> ! [X0] :
( nat_succeeds(X0)
=> ! [X2,X3] :
( '@+'(X0,X2) = '@+'(X0,X3)
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',induction) ).
fof(f53,conjecture,
! [X0,X1,X2] :
( ( nat_succeeds(X0)
& '@+'(X0,X1) = '@+'(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma-(plus:injective:second)') ).
fof(f54,negated_conjecture,
~ ! [X0,X1,X2] :
( ( nat_succeeds(X0)
& '@+'(X0,X1) = '@+'(X0,X2) )
=> X1 = X2 ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f64,plain,
( ! [X0] :
( ( ? [X1] :
( X0 = s(X1)
& nat_succeeds(X1)
& ! [X2,X3] :
( '@+'(X1,X2) = '@+'(X1,X3)
=> X2 = X3 ) )
| X0 = '0' )
=> ! [X4,X5] :
( '@+'(X0,X4) = '@+'(X0,X5)
=> X4 = X5 ) )
=> ! [X6] :
( nat_succeeds(X6)
=> ! [X7,X8] :
( '@+'(X6,X7) = '@+'(X6,X8)
=> X7 = X8 ) ) ),
inference(rectify,[],[f52]) ).
fof(f65,plain,
! [X0,X1] :
( X0 = X1
| s(X0) != s(X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f102,plain,
! [X0,X1] :
( '@+'(s(X0),X1) = s('@+'(X0,X1))
| ~ nat_succeeds(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f112,plain,
( ! [X6] :
( ! [X7,X8] :
( X7 = X8
| '@+'(X6,X7) != '@+'(X6,X8) )
| ~ nat_succeeds(X6) )
| ? [X0] :
( ? [X4,X5] :
( X4 != X5
& '@+'(X0,X4) = '@+'(X0,X5) )
& ( ? [X1] :
( X0 = s(X1)
& nat_succeeds(X1)
& ! [X2,X3] :
( X2 = X3
| '@+'(X1,X2) != '@+'(X1,X3) ) )
| X0 = '0' ) ) ),
inference(ennf_transformation,[],[f64]) ).
fof(f113,plain,
? [X0,X1,X2] :
( X1 != X2
& nat_succeeds(X0)
& '@+'(X0,X1) = '@+'(X0,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f114,plain,
? [X0,X1,X2] :
( X1 != X2
& nat_succeeds(X0)
& '@+'(X0,X1) = '@+'(X0,X2) ),
inference(flattening,[],[f113]) ).
fof(f174,plain,
( ! [X0] :
( ! [X1,X2] :
( X1 = X2
| '@+'(X0,X1) != '@+'(X0,X2) )
| ~ nat_succeeds(X0) )
| ? [X3] :
( ? [X4,X5] :
( X4 != X5
& '@+'(X3,X4) = '@+'(X3,X5) )
& ( ? [X6] :
( s(X6) = X3
& nat_succeeds(X6)
& ! [X7,X8] :
( X7 = X8
| '@+'(X6,X7) != '@+'(X6,X8) ) )
| '0' = X3 ) ) ),
inference(rectify,[],[f112]) ).
fof(f175,plain,
( ! [X0] :
( ! [X1,X2] :
( X1 = X2
| '@+'(X0,X1) != '@+'(X0,X2) )
| ~ nat_succeeds(X0) )
| ( sK31 != sK32
& '@+'(sK30,sK31) = '@+'(sK30,sK32)
& ( ( sK30 = s(sK33)
& nat_succeeds(sK33)
& ! [X7,X8] :
( X7 = X8
| '@+'(sK33,X7) != '@+'(sK33,X8) ) )
| '0' = sK30 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30,sK31,sK32,sK33]),skolemize(X3,sK30),skolemize(X4,sK31),skolemize(X5,sK32),skolemize(X6,sK33)],[f174]) ).
fof(f176,plain,
( sK35 != sK36
& nat_succeeds(sK34)
& '@+'(sK34,sK35) = '@+'(sK34,sK36) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34,sK35,sK36]),skolemize(X0,sK34),skolemize(X1,sK35),skolemize(X2,sK36)],[f114]) ).
fof(f178,plain,
! [X0,X1] :
( s(X0) != s(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f65]) ).
fof(f295,plain,
! [X0] : '@+'('0',X0) = X0,
inference(cnf_transformation,[],[f45]) ).
fof(f296,plain,
! [X0,X1] :
( ~ nat_succeeds(X0)
| '@+'(s(X0),X1) = s('@+'(X0,X1)) ),
inference(cnf_transformation,[],[f102]) ).
fof(f302,plain,
! [X2,X0,X1,X8,X7] :
( X1 = X2
| '@+'(X0,X1) != '@+'(X0,X2)
| ~ nat_succeeds(X0)
| X7 = X8
| '@+'(sK33,X7) != '@+'(sK33,X8)
| '0' = sK30 ),
inference(cnf_transformation,[],[f175]) ).
fof(f303,plain,
! [X2,X0,X1] :
( X1 = X2
| '@+'(X0,X1) != '@+'(X0,X2)
| ~ nat_succeeds(X0)
| nat_succeeds(sK33)
| '0' = sK30 ),
inference(cnf_transformation,[],[f175]) ).
fof(f304,plain,
! [X2,X0,X1] :
( X1 = X2
| '@+'(X0,X1) != '@+'(X0,X2)
| ~ nat_succeeds(X0)
| sK30 = s(sK33)
| '0' = sK30 ),
inference(cnf_transformation,[],[f175]) ).
fof(f305,plain,
! [X2,X0,X1] :
( X1 = X2
| '@+'(X0,X1) != '@+'(X0,X2)
| ~ nat_succeeds(X0)
| '@+'(sK30,sK31) = '@+'(sK30,sK32) ),
inference(cnf_transformation,[],[f175]) ).
fof(f306,plain,
! [X2,X0,X1] :
( X1 = X2
| '@+'(X0,X1) != '@+'(X0,X2)
| ~ nat_succeeds(X0)
| sK31 != sK32 ),
inference(cnf_transformation,[],[f175]) ).
fof(f307,plain,
'@+'(sK34,sK35) = '@+'(sK34,sK36),
inference(cnf_transformation,[],[f176]) ).
fof(f308,plain,
nat_succeeds(sK34),
inference(cnf_transformation,[],[f176]) ).
fof(f309,plain,
sK35 != sK36,
inference(cnf_transformation,[],[f176]) ).
fof(f353,definition,
sF37 = '@+'(sK34,sK35),
introduced(definition,[new_symbols(definition,[sF37])],[function_definition]) ).
fof(f354,plain,
'@+'(sK34,sK35) = sF37,
inference(reorient_equations,[],[f353]) ).
fof(f355,definition,
sF38 = '@+'(sK34,sK36),
introduced(definition,[new_symbols(definition,[sF38])],[function_definition]) ).
fof(f356,plain,
'@+'(sK34,sK36) = sF38,
inference(reorient_equations,[],[f355]) ).
fof(f357,plain,
sF37 = sF38,
inference(definition_folding,[],[f307,f356,f354]) ).
fof(f359,definition,
( spl39_1
<=> '0' = sK30 ),
introduced(definition,[new_symbols(definition,[spl39_1])],[avatar_definition]) ).
fof(f361,plain,
( '0' = sK30
| ~ spl39_1 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f363,definition,
( spl39_2
<=> ! [X8,X7] :
( X7 = X8
| '@+'(sK33,X7) != '@+'(sK33,X8) ) ),
introduced(definition,[new_symbols(definition,[spl39_2])],[avatar_definition]) ).
fof(f364,plain,
( ! [X8,X7] :
( '@+'(sK33,X7) != '@+'(sK33,X8)
| X7 = X8 )
| ~ spl39_2 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f366,definition,
( spl39_3
<=> ! [X2,X0,X1] :
( X1 = X2
| ~ nat_succeeds(X0)
| '@+'(X0,X1) != '@+'(X0,X2) ) ),
introduced(definition,[new_symbols(definition,[spl39_3])],[avatar_definition]) ).
fof(f367,plain,
( ! [X2,X0,X1] :
( '@+'(X0,X1) != '@+'(X0,X2)
| ~ nat_succeeds(X0)
| X1 = X2 )
| ~ spl39_3 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f368,plain,
( spl39_1
| spl39_2
| spl39_3 ),
inference(avatar_split_clause,[],[f302,f366,f363,f359]) ).
fof(f370,definition,
( spl39_4
<=> nat_succeeds(sK33) ),
introduced(definition,[new_symbols(definition,[spl39_4])],[avatar_definition]) ).
fof(f372,plain,
( nat_succeeds(sK33)
| ~ spl39_4 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f373,plain,
( spl39_1
| spl39_4
| spl39_3 ),
inference(avatar_split_clause,[],[f303,f366,f370,f359]) ).
fof(f375,definition,
( spl39_5
<=> sK30 = s(sK33) ),
introduced(definition,[new_symbols(definition,[spl39_5])],[avatar_definition]) ).
fof(f377,plain,
( sK30 = s(sK33)
| ~ spl39_5 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f378,plain,
( spl39_1
| spl39_5
| spl39_3 ),
inference(avatar_split_clause,[],[f304,f366,f375,f359]) ).
fof(f380,definition,
( spl39_6
<=> '@+'(sK30,sK31) = '@+'(sK30,sK32) ),
introduced(definition,[new_symbols(definition,[spl39_6])],[avatar_definition]) ).
fof(f382,plain,
( '@+'(sK30,sK31) = '@+'(sK30,sK32)
| ~ spl39_6 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f383,plain,
( spl39_6
| spl39_3 ),
inference(avatar_split_clause,[],[f305,f366,f380]) ).
fof(f385,definition,
( spl39_7
<=> sK31 = sK32 ),
introduced(definition,[new_symbols(definition,[spl39_7])],[avatar_definition]) ).
fof(f387,plain,
( sK31 != sK32
| spl39_7 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f388,plain,
( ~ spl39_7
| spl39_3 ),
inference(avatar_split_clause,[],[f306,f366,f385]) ).
fof(f390,plain,
'@+'(sK34,sK36) = sF37,
inference(forward_demodulation,[],[f356,f357]) ).
fof(f395,plain,
( ! [X0] :
( sF37 != '@+'(sK34,X0)
| ~ nat_succeeds(sK34)
| sK36 = X0 )
| ~ spl39_3 ),
inference(superposition,[],[f367,f390]) ).
fof(f397,plain,
( ! [X0] :
( sF37 != '@+'(sK34,X0)
| sK36 = X0 )
| ~ spl39_3 ),
inference(forward_subsumption_resolution,[],[f395,f308]) ).
fof(f401,plain,
( sF37 != sF37
| sK35 = sK36
| ~ spl39_3 ),
inference(superposition,[],[f397,f354]) ).
fof(f402,plain,
( sK35 = sK36
| ~ spl39_3 ),
inference(trivial_inequality_removal,[],[f401]) ).
fof(f403,plain,
( $false
| ~ spl39_3 ),
inference(forward_subsumption_resolution,[],[f402,f309]) ).
fof(f404,plain,
~ spl39_3,
inference(avatar_contradiction_clause,[],[f403]) ).
fof(f405,plain,
( '@+'('0',sK31) = '@+'('0',sK32)
| ~ spl39_1
| ~ spl39_6 ),
inference(forward_demodulation,[],[f382,f361]) ).
fof(f406,plain,
( sK32 = '@+'('0',sK31)
| ~ spl39_1
| ~ spl39_6 ),
inference(forward_demodulation,[],[f405,f295]) ).
fof(f407,plain,
( sK31 = sK32
| ~ spl39_1
| ~ spl39_6 ),
inference(forward_demodulation,[],[f406,f295]) ).
fof(f408,plain,
( $false
| ~ spl39_1
| ~ spl39_6
| spl39_7 ),
inference(forward_subsumption_resolution,[],[f407,f387]) ).
fof(f409,plain,
( ~ spl39_1
| ~ spl39_6
| spl39_7 ),
inference(avatar_contradiction_clause,[],[f408]) ).
fof(f411,plain,
( ! [X0] : '@+'(s(sK33),X0) = s('@+'(sK33,X0))
| ~ spl39_4 ),
inference(resolution,[],[f372,f296]) ).
fof(f412,plain,
( ! [X0] : s('@+'(sK33,X0)) = '@+'(sK30,X0)
| ~ spl39_4
| ~ spl39_5 ),
inference(forward_demodulation,[],[f411,f377]) ).
fof(f414,plain,
( ! [X0,X1] :
( s(X1) != '@+'(sK30,X0)
| '@+'(sK33,X0) = X1 )
| ~ spl39_4
| ~ spl39_5 ),
inference(superposition,[],[f178,f412]) ).
fof(f416,plain,
( ! [X0,X1] :
( '@+'(sK30,X0) != '@+'(sK30,X1)
| '@+'(sK33,X0) = '@+'(sK33,X1) )
| ~ spl39_4
| ~ spl39_5 ),
inference(superposition,[],[f414,f412]) ).
fof(f419,plain,
( ! [X0] :
( '@+'(sK30,sK31) != '@+'(sK30,X0)
| '@+'(sK33,X0) = '@+'(sK33,sK32) )
| ~ spl39_4
| ~ spl39_5
| ~ spl39_6 ),
inference(superposition,[],[f416,f382]) ).
fof(f421,plain,
( '@+'(sK33,sK32) = '@+'(sK33,sK31)
| ~ spl39_4
| ~ spl39_5
| ~ spl39_6 ),
inference(equality_resolution,[],[f419]) ).
fof(f424,plain,
( ! [X0] :
( '@+'(sK33,X0) != '@+'(sK33,sK31)
| sK32 = X0 )
| ~ spl39_2
| ~ spl39_4
| ~ spl39_5
| ~ spl39_6 ),
inference(superposition,[],[f364,f421]) ).
fof(f433,plain,
( sK31 = sK32
| ~ spl39_2
| ~ spl39_4
| ~ spl39_5
| ~ spl39_6 ),
inference(equality_resolution,[],[f424]) ).
fof(f434,plain,
( $false
| ~ spl39_2
| ~ spl39_4
| ~ spl39_5
| ~ spl39_6
| spl39_7 ),
inference(forward_subsumption_resolution,[],[f433,f387]) ).
fof(f435,plain,
( ~ spl39_2
| ~ spl39_4
| ~ spl39_5
| ~ spl39_6
| spl39_7 ),
inference(avatar_contradiction_clause,[],[f434]) ).
cnf(s1,plain,
( spl39_1
| spl39_2
| spl39_3 ),
inference(sat_conversion,[],[f368]) ).
cnf(s2,plain,
( spl39_1
| spl39_3
| spl39_4 ),
inference(sat_conversion,[],[f373]) ).
cnf(s3,plain,
( spl39_1
| spl39_3
| spl39_5 ),
inference(sat_conversion,[],[f378]) ).
cnf(s4,plain,
( spl39_3
| spl39_6 ),
inference(sat_conversion,[],[f383]) ).
cnf(s5,plain,
( spl39_3
| ~ spl39_7 ),
inference(sat_conversion,[],[f388]) ).
cnf(s6,plain,
~ spl39_3,
inference(sat_conversion,[],[f404]) ).
cnf(s7,plain,
( ~ spl39_1
| ~ spl39_6
| spl39_7 ),
inference(sat_conversion,[],[f409]) ).
cnf(s8,plain,
( ~ spl39_2
| ~ spl39_4
| ~ spl39_5
| ~ spl39_6
| spl39_7 ),
inference(sat_conversion,[],[f435]) ).
cnf(s9,plain,
~ spl39_7,
inference(rat,[],[s5,s6]) ).
cnf(s10,plain,
spl39_6,
inference(rat,[],[s4,s6]) ).
cnf(s11,plain,
~ spl39_1,
inference(rat,[],[s7,s9,s10]) ).
cnf(s12,plain,
spl39_5,
inference(rat,[],[s3,s6,s11]) ).
cnf(s13,plain,
spl39_4,
inference(rat,[],[s2,s6,s11]) ).
cnf(s14,plain,
~ spl39_2,
inference(rat,[],[s8,s9,s10,s12,s13]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s1,s6,s14,s11]) ).
fof(f436,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX033+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.25 % Computer : n010.cluster.edu
% 0.10/0.25 % Model : x86_64 x86_64
% 0.10/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.25 % Memory : 8046.5625MB
% 0.10/0.25 % OS : Linux 6.8.0-71-generic
% 0.10/0.25 % CPULimit : 300
% 0.10/0.25 % WCLimit : 300
% 0.10/0.25 % DateTime : Mon Sep 28 14:54:59 UTC 2026
% 0.10/0.26 % CPUTime :
% 0.10/0.26 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.30 Running first-order theorem proving
% 0.24/0.30 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
% 6.74/1.87 % (1981923)Detected formulas, will run a generic FOF schedule.
% 6.74/1.87 % (1981946)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=2948092153:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.74/1.87 % (1981949)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2738392633:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.74/1.87 % (1981950)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3474194230:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.74/1.87 % (1981947)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=608683651:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.74/1.87 % (1981952)dis-21_1_sil=8000:lcm=predicate:random_seed=375407047: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)
% 6.74/1.87 % (1981948)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=4250675465:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.74/1.87 % (1981951)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3781855890:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.74/1.87 % (1981949)Instruction limit reached!
% 6.74/1.87 % (1981949)------------------------------
% 6.74/1.87 % (1981949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.87 % (1981949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.87 % (1981949)CaDiCaL version: 2.1.3
% 6.74/1.87 % (1981949)Termination reason: Instruction limit
% 6.74/1.87 % (1981949)Termination phase: Saturation
% 6.74/1.87 % (1981949)Time elapsed: 0.102 s
% 6.74/1.87 % (1981949)Peak memory usage: 89 MB
% 6.74/1.87 % (1981949)Instructions burned: 109 (million)
% 6.74/1.87 % (1981950)Instruction limit reached!
% 6.74/1.87 % (1981950)------------------------------
% 6.74/1.87 % (1981950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.87 % (1981950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.87 % (1981950)CaDiCaL version: 2.1.3
% 6.74/1.87 % (1981950)Termination reason: Instruction limit
% 6.74/1.87 % (1981950)Termination phase: Saturation
% 6.74/1.87 % (1981950)Time elapsed: 0.113 s
% 6.74/1.87 % (1981950)Peak memory usage: 88 MB
% 6.74/1.87 % (1981950)Instructions burned: 120 (million)
% 6.74/1.87 % (1981952)Instruction limit reached!
% 6.74/1.87 % (1981952)------------------------------
% 6.74/1.87 % (1981952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.87 % (1981952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.87 % (1981952)CaDiCaL version: 2.1.3
% 6.74/1.87 % (1981952)Termination reason: Instruction limit
% 6.74/1.87 % (1981952)Termination phase: Saturation
% 6.74/1.87 % (1981952)Time elapsed: 0.130 s
% 6.74/1.87 % (1981952)Peak memory usage: 89 MB
% 6.74/1.87 % (1981952)Instructions burned: 129 (million)
% 6.74/1.87 % (1981951)Instruction limit reached!
% 6.74/1.87 % (1981951)------------------------------
% 6.74/1.87 % (1981951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.87 % (1981951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.87 % (1981951)CaDiCaL version: 2.1.3
% 6.74/1.87 % (1981951)Termination reason: Instruction limit
% 6.74/1.87 % (1981951)Termination phase: Saturation
% 6.74/1.87 % (1981951)Time elapsed: 0.153 s
% 6.74/1.87 % (1981951)Peak memory usage: 90 MB
% 6.74/1.87 % (1981951)Instructions burned: 140 (million)
% 6.74/1.87 % (1981962)lrs+10_1_sil=8000:sp=occurrence:random_seed=414282696:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 6.74/1.87 % (1981963)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2154204285:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 6.74/1.87 % (1981964)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1227558413:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 6.74/1.87 % (1981963)Instruction limit reached!
% 6.74/1.87 % (1981963)------------------------------
% 6.74/1.87 % (1981963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.87 % (1981963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.87 % (1981963)CaDiCaL version: 2.1.3
% 6.74/1.87 % (1981963)Termination reason: Instruction limit
% 6.74/1.87 % (1981963)Termination phase: Saturation
% 6.74/1.87 % (1981963)Time elapsed: 0.072 s
% 6.74/1.87 % (1981963)Peak memory usage: 90 MB
% 6.74/1.87 % (1981963)Instructions burned: 158 (million)
% 6.74/1.87 % (1981965)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=1001991556:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.74/1.87 % (1981962)Instruction limit reached!
% 6.74/1.87 % (1981962)------------------------------
% 6.74/1.87 % (1981962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.87 % (1981962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.87 % (1981962)CaDiCaL version: 2.1.3
% 6.74/1.87 % (1981962)Termination reason: Instruction limit
% 6.74/1.87 % (1981962)Termination phase: Saturation
% 6.74/1.87 % (1981962)Time elapsed: 0.171 s
% 6.74/1.87 % (1981962)Peak memory usage: 92 MB
% 6.74/1.87 % (1981962)Instructions burned: 286 (million)
% 6.74/1.87 % (1981946)First to succeed.
% 6.74/1.87 % (1981946)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1981923"
% 6.74/1.87 % (1981969)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1374441854:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 6.74/1.87 % (1981964)Instruction limit reached!
% 6.74/1.87 % (1981964)------------------------------
% 6.74/1.87 % (1981964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.87 % (1981964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.87 % (1981964)CaDiCaL version: 2.1.3
% 6.74/1.87 % (1981964)Termination reason: Instruction limit
% 6.74/1.87 % (1981964)Termination phase: Saturation
% 6.74/1.87 % (1981964)Time elapsed: 0.195 s
% 6.74/1.87 % (1981964)Peak memory usage: 93 MB
% 6.74/1.87 % (1981964)Instructions burned: 327 (million)
% 6.74/1.87 % (1981965)Instruction limit reached!
% 6.74/1.87 % (1981965)------------------------------
% 6.74/1.87 % (1981965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.87 % (1981965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.87 % (1981965)CaDiCaL version: 2.1.3
% 6.74/1.87 % (1981965)Termination reason: Instruction limit
% 6.74/1.87 % (1981965)Termination phase: Saturation
% 6.74/1.87 % (1981965)Time elapsed: 0.125 s
% 6.74/1.87 % (1981965)Peak memory usage: 94 MB
% 6.74/1.87 % (1981965)Instructions burned: 248 (million)
% 6.74/1.87 % (1981971)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1454573023:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 6.74/1.87 % (1981973)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2317698382:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.74/1.87 % (1981973)Instruction limit reached!
% 6.74/1.87 % (1981973)------------------------------
% 6.74/1.87 % (1981973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.87 % (1981973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.87 % (1981973)CaDiCaL version: 2.1.3
% 6.74/1.87 % (1981973)Termination reason: Instruction limit
% 6.74/1.87 % (1981973)Termination phase: Saturation
% 6.74/1.87 % (1981973)Time elapsed: 0.040 s
% 6.74/1.87 % (1981973)Peak memory usage: 90 MB
% 6.74/1.87 % (1981973)Instructions burned: 114 (million)
% 6.74/1.87 % (1981974)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2687039077:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.74/1.87 % (1981969)Instruction limit reached!
% 6.74/1.87 % (1981969)------------------------------
% 6.74/1.87 % (1981969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.87 % (1981969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.87 % (1981969)CaDiCaL version: 2.1.3
% 6.74/1.87 % (1981969)Termination reason: Instruction limit
% 6.74/1.87 % (1981969)Termination phase: Saturation
% 6.74/1.87 % (1981969)Time elapsed: 0.182 s
% 6.74/1.87 % (1981969)Peak memory usage: 90 MB
% 6.74/1.87 % (1981969)Instructions burned: 295 (million)
% 6.74/1.87 % (1981974)Instruction limit reached!
% 6.74/1.87 % (1981974)------------------------------
% 6.74/1.87 % (1981974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.87 % (1981974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.87 % (1981974)CaDiCaL version: 2.1.3
% 6.74/1.87 % (1981974)Termination reason: Instruction limit
% 6.74/1.87 % (1981974)Termination phase: Saturation
% 6.74/1.87 % (1981974)Time elapsed: 0.064 s
% 6.74/1.87 % (1981974)Peak memory usage: 89 MB
% 6.74/1.87 % (1981974)Instructions burned: 127 (million)
% 6.74/1.87 % (1981978)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2177875974:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 6.74/1.87 % (1981947)Also succeeded, but the first one will report.
% 6.74/1.87 % (1981978)Instruction limit reached!
% 6.74/1.87 % (1981978)------------------------------
% 6.74/1.87 % (1981978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.87 % (1981978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.87 % (1981978)CaDiCaL version: 2.1.3
% 6.74/1.87 % (1981978)Termination reason: Instruction limit
% 6.74/1.87 % (1981978)Termination phase: Saturation
% 6.74/1.87 % (1981978)Time elapsed: 0.038 s
% 6.74/1.87 % (1981978)Peak memory usage: 89 MB
% 6.74/1.87 % (1981978)Instructions burned: 116 (million)
% 6.74/1.87 % (1981946)Refutation found. Thanks to Tanya!
% 6.74/1.87 % SZS status Theorem for theBenchmark
% 6.74/1.87 % SZS output start Proof for theBenchmark
% See solution above
% 7.84/2.07 % (1981946)------------------------------
% 7.84/2.07 % (1981946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.84/2.07 % (1981946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.84/2.07 % (1981946)CaDiCaL version: 2.1.3
% 7.84/2.07 % (1981946)Termination reason: Refutation
% 7.84/2.07 % (1981946)Time elapsed: 0.526 s
% 7.84/2.07 % (1981946)Peak memory usage: 131 MB
% 7.84/2.07 % (1981946)Instructions burned: 956 (million)
% 7.84/2.07 % (1981946)------------------------------
% 7.84/2.07 % (1981946)------------------------------
% 7.84/2.07 % (1981923)Success in time 0.99 s
% 7.84/2.07 % Vampire exiting
%------------------------------------------------------------------------------