%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR088+5 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 09:42:50 AM UTC 2026
% Result : ContradictoryAxioms 35.18s 6.17s
% Output : Refutation 35.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 54 ( 8 unt; 3 def)
% Number of atoms : 207 ( 19 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 249 ( 96 ~; 99 |; 43 &)
% ( 7 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 138 ( 0 sgn 131 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f605,axiom,
! [X0] : s__instance(X0,s__Entity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_606) ).
fof(f4670,axiom,
! [X0,X1,X2] :
( X1 = s__UnionFn(X2,X0)
<=> ! [X3,X4,X5] :
( ( s__instance(X2,s__SetOrClass)
& s__instance(X1,s__SetOrClass)
& s__instance(X0,s__SetOrClass) )
=> ( ( s__instance(X3,X2)
& s__instance(X4,X0)
& s__instance(X5,X1) )
=> ( s__instance(X3,X1)
& s__instance(X4,X1)
& ( s__instance(X5,X2)
| s__instance(X5,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_4682) ).
fof(f4706,axiom,
! [X0] :
( s__instance(X0,s__SetOrClass)
=> ( s__instance(X0,s__NullSet)
=> ~ ? [X1] : s__instance(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_4719) ).
fof(f23164,plain,
! [X0,X1,X2] :
( X1 = s__UnionFn(X2,X0)
<=> ! [X3,X4,X5] :
( ( s__instance(X3,X1)
& s__instance(X4,X1)
& ( s__instance(X5,X2)
| s__instance(X5,X0) ) )
| ~ s__instance(X3,X2)
| ~ s__instance(X4,X0)
| ~ s__instance(X5,X1)
| ~ s__instance(X2,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass) ) ),
inference(ennf_transformation,[],[f4670]) ).
fof(f23165,plain,
! [X0,X1,X2] :
( X1 = s__UnionFn(X2,X0)
<=> ! [X3,X4,X5] :
( ( s__instance(X3,X1)
& s__instance(X4,X1)
& ( s__instance(X5,X2)
| s__instance(X5,X0) ) )
| ~ s__instance(X3,X2)
| ~ s__instance(X4,X0)
| ~ s__instance(X5,X1)
| ~ s__instance(X2,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass) ) ),
inference(flattening,[],[f23164]) ).
fof(f23166,plain,
! [X0] :
( ! [X1] : ~ s__instance(X1,X0)
| ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) ),
inference(ennf_transformation,[],[f4706]) ).
fof(f23167,plain,
! [X0] :
( ! [X1] : ~ s__instance(X1,X0)
| ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) ),
inference(flattening,[],[f23166]) ).
fof(f27152,definition,
! [X1,X2,X0] :
( sP15(X1,X2,X0)
<=> ! [X3,X4,X5] :
( ( s__instance(X3,X1)
& s__instance(X4,X1)
& ( s__instance(X5,X2)
| s__instance(X5,X0) ) )
| ~ s__instance(X3,X2)
| ~ s__instance(X4,X0)
| ~ s__instance(X5,X1)
| ~ s__instance(X2,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass) ) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f27153,plain,
! [X0,X1,X2] :
( X1 = s__UnionFn(X2,X0)
<=> sP15(X1,X2,X0) ),
inference(definition_folding,[],[f23165,f27152]) ).
fof(f27475,plain,
! [X1,X2,X0] :
( ( sP15(X1,X2,X0)
| ? [X3,X4,X5] :
( ( ~ s__instance(X3,X1)
| ~ s__instance(X4,X1)
| ( ~ s__instance(X5,X2)
& ~ s__instance(X5,X0) ) )
& s__instance(X3,X2)
& s__instance(X4,X0)
& s__instance(X5,X1)
& s__instance(X2,s__SetOrClass)
& s__instance(X1,s__SetOrClass)
& s__instance(X0,s__SetOrClass) ) )
& ( ! [X3,X4,X5] :
( ( s__instance(X3,X1)
& s__instance(X4,X1)
& ( s__instance(X5,X2)
| s__instance(X5,X0) ) )
| ~ s__instance(X3,X2)
| ~ s__instance(X4,X0)
| ~ s__instance(X5,X1)
| ~ s__instance(X2,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass) )
| ~ sP15(X1,X2,X0) ) ),
inference(nnf_transformation,[],[f27152]) ).
fof(f27476,plain,
! [X0,X1,X2] :
( ( sP15(X0,X1,X2)
| ? [X3,X4,X5] :
( ( ~ s__instance(X3,X0)
| ~ s__instance(X4,X0)
| ( ~ s__instance(X5,X1)
& ~ s__instance(X5,X2) ) )
& s__instance(X3,X1)
& s__instance(X4,X2)
& s__instance(X5,X0)
& s__instance(X1,s__SetOrClass)
& s__instance(X0,s__SetOrClass)
& s__instance(X2,s__SetOrClass) ) )
& ( ! [X6,X7,X8] :
( ( s__instance(X6,X0)
& s__instance(X7,X0)
& ( s__instance(X8,X1)
| s__instance(X8,X2) ) )
| ~ s__instance(X6,X1)
| ~ s__instance(X7,X2)
| ~ s__instance(X8,X0)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass)
| ~ s__instance(X2,s__SetOrClass) )
| ~ sP15(X0,X1,X2) ) ),
inference(rectify,[],[f27475]) ).
fof(f27477,plain,
! [X0,X1,X2] :
( ( sP15(X0,X1,X2)
| ( ( ~ s__instance(sK225(X0,X1,X2),X0)
| ~ s__instance(sK226(X0,X1,X2),X0)
| ( ~ s__instance(sK227(X0,X1,X2),X1)
& ~ s__instance(sK227(X0,X1,X2),X2) ) )
& s__instance(sK225(X0,X1,X2),X1)
& s__instance(sK226(X0,X1,X2),X2)
& s__instance(sK227(X0,X1,X2),X0)
& s__instance(X1,s__SetOrClass)
& s__instance(X0,s__SetOrClass)
& s__instance(X2,s__SetOrClass) ) )
& ( ! [X6,X7,X8] :
( ( s__instance(X6,X0)
& s__instance(X7,X0)
& ( s__instance(X8,X1)
| s__instance(X8,X2) ) )
| ~ s__instance(X6,X1)
| ~ s__instance(X7,X2)
| ~ s__instance(X8,X0)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass)
| ~ s__instance(X2,s__SetOrClass) )
| ~ sP15(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK225,sK226,sK227]),skolemize(X3,sK225(X0,X1,X2)),skolemize(X4,sK226(X0,X1,X2)),skolemize(X5,sK227(X0,X1,X2))],[f27476]) ).
fof(f27478,plain,
! [X0,X1,X2] :
( ( X1 = s__UnionFn(X2,X0)
| ~ sP15(X1,X2,X0) )
& ( sP15(X1,X2,X0)
| s__UnionFn(X2,X0) != X1 ) ),
inference(nnf_transformation,[],[f27153]) ).
fof(f29268,plain,
! [X0] : s__instance(X0,s__Entity),
inference(cnf_transformation,[],[f605]) ).
fof(f33577,plain,
! [X2,X0,X1] :
( sP15(X0,X1,X2)
| s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[],[f27477]) ).
fof(f33578,plain,
! [X2,X0,X1] :
( sP15(X0,X1,X2)
| s__instance(X1,s__SetOrClass) ),
inference(cnf_transformation,[],[f27477]) ).
fof(f33579,plain,
! [X2,X0,X1] :
( s__instance(sK227(X0,X1,X2),X0)
| sP15(X0,X1,X2) ),
inference(cnf_transformation,[],[f27477]) ).
fof(f33581,plain,
! [X2,X0,X1] :
( s__instance(sK225(X0,X1,X2),X1)
| sP15(X0,X1,X2) ),
inference(cnf_transformation,[],[f27477]) ).
fof(f33585,plain,
! [X2,X0,X1] :
( ~ sP15(X1,X2,X0)
| s__UnionFn(X2,X0) = X1 ),
inference(cnf_transformation,[],[f27478]) ).
fof(f33621,plain,
! [X0,X1] :
( ~ s__instance(X1,X0)
| ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[],[f23167]) ).
fof(f50196,plain,
! [X2,X0,X1] :
( ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass)
| sP15(X1,X0,X2) ),
inference(resolution,[],[f33621,f33581]) ).
fof(f50207,plain,
! [X2,X0,X1] :
( sP15(X1,X0,X2)
| ~ s__instance(X0,s__NullSet) ),
inference(forward_subsumption_resolution,[],[f50196,f33578]) ).
fof(f50208,plain,
! [X2,X0,X1] :
( ~ s__instance(X0,s__NullSet)
| s__UnionFn(X0,X1) = X2 ),
inference(resolution,[],[f50207,f33585]) ).
fof(f50214,plain,
! [X2,X0,X1] :
( sP15(X0,X1,X2)
| ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) ),
inference(resolution,[],[f33579,f33621]) ).
fof(f50216,plain,
! [X2,X0,X1] :
( sP15(X0,X1,X2)
| ~ s__instance(X0,s__NullSet) ),
inference(forward_subsumption_resolution,[],[f50214,f33577]) ).
fof(f50217,plain,
! [X2,X0,X1] :
( ~ s__instance(X0,s__NullSet)
| s__UnionFn(X1,X2) = X0 ),
inference(resolution,[],[f50216,f33585]) ).
fof(f50218,plain,
! [X2,X3,X0,X1] :
( sP15(X2,s__NullSet,X3)
| s__UnionFn(X0,X1) = sK225(X2,s__NullSet,X3) ),
inference(resolution,[],[f50217,f33581]) ).
fof(f50221,plain,
! [X2,X3,X0,X1] :
( s__UnionFn(X0,X1) = sK225(X2,s__NullSet,X3)
| s__UnionFn(s__NullSet,X3) = X2 ),
inference(resolution,[],[f50218,f33585]) ).
fof(f50224,plain,
! [X2,X3,X0,X1] :
( s__instance(s__UnionFn(X0,X1),s__NullSet)
| sP15(X2,s__NullSet,X3)
| s__UnionFn(s__NullSet,X3) = X2 ),
inference(superposition,[],[f33581,f50221]) ).
fof(f50226,plain,
! [X2,X3,X0,X1] :
( s__instance(s__UnionFn(X0,X1),s__NullSet)
| s__UnionFn(s__NullSet,X3) = X2 ),
inference(forward_subsumption_resolution,[],[f50224,f33585]) ).
fof(f50228,definition,
( spl1514_268
<=> ! [X4,X5] : s__UnionFn(s__NullSet,X5) = X4 ),
introduced(definition,[new_symbols(definition,[spl1514_268])],[avatar_definition]) ).
fof(f50229,plain,
( ! [X4,X5] : s__UnionFn(s__NullSet,X5) = X4
| ~ spl1514_268 ),
inference(avatar_component_clause,[],[f50228]) ).
fof(f50235,definition,
( spl1514_270
<=> ! [X0,X1] : s__instance(s__UnionFn(X0,X1),s__NullSet) ),
introduced(definition,[new_symbols(definition,[spl1514_270])],[avatar_definition]) ).
fof(f50236,plain,
( ! [X0,X1] : s__instance(s__UnionFn(X0,X1),s__NullSet)
| ~ spl1514_270 ),
inference(avatar_component_clause,[],[f50235]) ).
fof(f50237,plain,
( spl1514_268
| spl1514_270 ),
inference(avatar_split_clause,[],[f50226,f50235,f50228]) ).
fof(f50238,plain,
( ! [X2,X0] : X0 = X2
| ~ spl1514_268 ),
inference(superposition,[],[f50229,f50229]) ).
fof(f50259,plain,
( ! [X0,X1] : s__instance(X1,X0)
| ~ spl1514_268 ),
inference(superposition,[],[f29268,f50238]) ).
fof(f50271,plain,
( ! [X0] :
( ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) )
| ~ spl1514_268 ),
inference(resolution,[],[f50259,f33621]) ).
fof(f50274,plain,
( ! [X0] : ~ s__instance(X0,s__NullSet)
| ~ spl1514_268 ),
inference(forward_subsumption_resolution,[],[f50271,f50259]) ).
fof(f50275,plain,
( $false
| ~ spl1514_268 ),
inference(forward_subsumption_resolution,[],[f50274,f50259]) ).
fof(f50276,plain,
~ spl1514_268,
inference(avatar_contradiction_clause,[],[f50275]) ).
fof(f50300,plain,
( ! [X2,X3,X0,X1] : s__UnionFn(s__UnionFn(X0,X1),X2) = X3
| ~ spl1514_270 ),
inference(resolution,[],[f50208,f50236]) ).
fof(f50309,plain,
( ! [X0,X4] : X0 = X4
| ~ spl1514_270 ),
inference(superposition,[],[f50300,f50300]) ).
fof(f50316,plain,
( ! [X0] : s__instance(X0,s__NullSet)
| ~ spl1514_270 ),
inference(superposition,[],[f50236,f50300]) ).
fof(f50343,plain,
( ! [X0,X1] : s__instance(X1,X0)
| ~ spl1514_270 ),
inference(superposition,[],[f29268,f50309]) ).
fof(f50360,plain,
( ! [X0] :
( ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) )
| ~ spl1514_270 ),
inference(resolution,[],[f50343,f33621]) ).
fof(f50364,plain,
( ! [X0] : ~ s__instance(X0,s__SetOrClass)
| ~ spl1514_270 ),
inference(forward_subsumption_resolution,[],[f50360,f50316]) ).
fof(f50365,plain,
( $false
| ~ spl1514_270 ),
inference(forward_subsumption_resolution,[],[f50364,f50343]) ).
fof(f50366,plain,
~ spl1514_270,
inference(avatar_contradiction_clause,[],[f50365]) ).
cnf(s173,plain,
( spl1514_268
| spl1514_270 ),
inference(sat_conversion,[],[f50237]) ).
cnf(s174,plain,
~ spl1514_268,
inference(sat_conversion,[],[f50276]) ).
cnf(s176,plain,
~ spl1514_270,
inference(sat_conversion,[],[f50366]) ).
cnf(s177,plain,
$false,
inference(rat,[],[s173,s176,s174]) ).
fof(f50367,plain,
$false,
inference(avatar_sat_refutation,[],[s177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR088+5 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n026.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 22:41:12 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 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
% 11.85/3.01 % (167578)Detected formulas, will run a generic FOF schedule.
% 11.85/3.01 % (167587)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2362405272:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 11.85/3.01 % (167587)Instruction limit reached!
% 11.85/3.01 % (167587)------------------------------
% 11.85/3.01 % (167587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.85/3.01 % (167587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.85/3.01 % (167587)CaDiCaL version: 2.1.3
% 11.85/3.01 % (167587)Termination reason: Instruction limit
% 11.85/3.01 % (167587)Termination phase: Saturation
% 11.85/3.01 % (167587)Time elapsed: 0.045 s
% 11.85/3.01 % (167587)Peak memory usage: 102 MB
% 11.85/3.01 % (167587)Instructions burned: 122 (million)
% 11.85/3.01 % (167586)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3130236109:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 11.85/3.01 % (167585)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=2423662180:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 11.85/3.01 % (167583)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=3393873283:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 11.85/3.01 % (167584)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=3432296871:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 11.85/3.01 % (167588)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1598090040:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 11.85/3.01 % (167589)dis-21_1_sil=8000:lcm=predicate:random_seed=3860914408:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2995 on theBenchmark for (2995ds/129Mi)
% 11.85/3.01 % (167586)Refutation not found, incomplete strategy
% 11.85/3.01 % (167586)------------------------------
% 11.85/3.01 % (167586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.85/3.01 % (167586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.85/3.01 % (167586)CaDiCaL version: 2.1.3
% 11.85/3.01 % (167586)Termination reason: Refutation not found, incomplete strategy
% 11.85/3.01 % (167586)Time elapsed: 0.042 s
% 11.85/3.01 % (167586)Peak memory usage: 102 MB
% 11.85/3.01 % (167586)Instructions burned: 60 (million)
% 11.85/3.01 % (167588)Instruction limit reached!
% 11.85/3.01 % (167588)------------------------------
% 11.85/3.01 % (167588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.85/3.01 % (167588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.85/3.01 % (167588)CaDiCaL version: 2.1.3
% 11.85/3.01 % (167588)Termination reason: Instruction limit
% 11.85/3.01 % (167588)Termination phase: SInE selection
% 11.85/3.01 % (167588)Time elapsed: 0.076 s
% 11.85/3.01 % (167588)Peak memory usage: 99 MB
% 11.85/3.01 % (167588)Instructions burned: 139 (million)
% 11.85/3.01 % (167595)lrs+10_1_sil=8000:sp=occurrence:random_seed=1061099967:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 11.85/3.01 % (167589)Instruction limit reached!
% 11.85/3.01 % (167589)------------------------------
% 11.85/3.01 % (167589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.85/3.01 % (167589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.85/3.01 % (167589)CaDiCaL version: 2.1.3
% 11.85/3.01 % (167589)Termination reason: Instruction limit
% 11.85/3.01 % (167589)Termination phase: Property scanning
% 11.85/3.01 % (167589)Time elapsed: 0.093 s
% 11.85/3.01 % (167589)Peak memory usage: 101 MB
% 11.85/3.01 % (167589)Instructions burned: 130 (million)
% 11.85/3.01 % (167595)Instruction limit reached!
% 11.85/3.01 % (167595)------------------------------
% 11.85/3.01 % (167595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.85/3.01 % (167595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.85/3.01 % (167595)CaDiCaL version: 2.1.3
% 11.85/3.01 % (167595)Termination reason: Instruction limit
% 11.85/3.01 % (167595)Termination phase: Saturation
% 11.85/3.01 % (167595)Time elapsed: 0.101 s
% 11.85/3.01 % (167595)Peak memory usage: 105 MB
% 11.85/3.01 % (167595)Instructions burned: 285 (million)
% 11.85/3.01 % (167598)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2801964027:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 21.53/4.09 % (167600)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3906091726:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 21.53/4.09 % (167600)Refutation not found, incomplete strategy
% 21.53/4.09 % (167600)------------------------------
% 21.53/4.09 % (167600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.53/4.09 % (167600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.53/4.09 % (167600)CaDiCaL version: 2.1.3
% 21.53/4.09 % (167600)Termination reason: Refutation not found, incomplete strategy
% 21.53/4.09 % (167600)Time elapsed: 0.041 s
% 21.53/4.09 % (167600)Peak memory usage: 103 MB
% 21.53/4.09 % (167600)Instructions burned: 50 (million)
% 21.53/4.09 % (167601)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=1121911729:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 21.53/4.09 % (167586)------------------------------
% 21.53/4.09 % (167586)------------------------------
% 21.53/4.09 % (167598)Instruction limit reached!
% 21.53/4.09 % (167598)------------------------------
% 21.53/4.09 % (167598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.53/4.09 % (167598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.53/4.09 % (167598)CaDiCaL version: 2.1.3
% 21.53/4.09 % (167598)Termination reason: Instruction limit
% 21.53/4.09 % (167598)Termination phase: Saturation
% 21.53/4.09 % (167598)Time elapsed: 0.084 s
% 21.53/4.09 % (167598)Peak memory usage: 102 MB
% 21.53/4.09 % (167598)Instructions burned: 158 (million)
% 21.53/4.09 % (167601)Instruction limit reached!
% 21.53/4.09 % (167601)------------------------------
% 21.53/4.09 % (167601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.53/4.09 % (167601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.53/4.09 % (167601)CaDiCaL version: 2.1.3
% 21.53/4.09 % (167601)Termination reason: Instruction limit
% 21.53/4.09 % (167601)Termination phase: Preprocessing 3
% 21.53/4.09 % (167601)Time elapsed: 0.089 s
% 21.53/4.09 % (167601)Peak memory usage: 104 MB
% 21.53/4.09 % (167601)Instructions burned: 251 (million)
% 21.53/4.09 % (167605)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3422290439:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 21.53/4.09 % (167606)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1548297892:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 21.53/4.09 % (167607)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2232800967:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 21.53/4.09 % (167605)Refutation not found, incomplete strategy
% 21.53/4.09 % (167605)------------------------------
% 21.53/4.09 % (167605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.53/4.09 % (167605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.53/4.09 % (167605)CaDiCaL version: 2.1.3
% 21.53/4.09 % (167605)Termination reason: Refutation not found, incomplete strategy
% 21.53/4.09 % (167605)Time elapsed: 0.061 s
% 21.53/4.09 % (167605)Peak memory usage: 103 MB
% 21.53/4.09 % (167605)Instructions burned: 93 (million)
% 21.53/4.09 % (167607)Instruction limit reached!
% 21.53/4.09 % (167607)------------------------------
% 21.53/4.09 % (167607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.53/4.09 % (167607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.53/4.09 % (167607)CaDiCaL version: 2.1.3
% 21.53/4.09 % (167607)Termination reason: Instruction limit
% 21.53/4.09 % (167607)Termination phase: Saturation
% 21.53/4.09 % (167607)Time elapsed: 0.044 s
% 21.53/4.09 % (167607)Peak memory usage: 104 MB
% 21.53/4.09 % (167607)Instructions burned: 114 (million)
% 21.53/4.09 % (167600)------------------------------
% 21.53/4.09 % (167600)------------------------------
% 21.53/4.09 % (167611)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2455986393:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 21.53/4.09 % (167611)Instruction limit reached!
% 21.53/4.09 % (167611)------------------------------
% 21.53/4.09 % (167611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.53/4.09 % (167611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.53/4.09 % (167611)CaDiCaL version: 2.1.3
% 17.48/5.92 % (167611)Termination reason: Instruction limit
% 17.48/5.92 % (167611)Termination phase: Preprocessing 3
% 17.48/5.92 % (167611)Time elapsed: 0.054 s
% 17.48/5.92 % (167611)Peak memory usage: 104 MB
% 17.48/5.92 % (167611)Instructions burned: 129 (million)
% 17.48/5.92 % (167612)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=16411216:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 17.48/5.92 % (167605)------------------------------
% 17.48/5.92 % (167605)------------------------------
% 17.48/5.92 % (167612)Instruction limit reached!
% 17.48/5.92 % (167612)------------------------------
% 17.48/5.92 % (167612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.48/5.92 % (167612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.48/5.92 % (167612)CaDiCaL version: 2.1.3
% 17.48/5.92 % (167612)Termination reason: Instruction limit
% 17.48/5.92 % (167612)Termination phase: Initialization
% 17.48/5.92 % (167612)Time elapsed: 0.060 s
% 17.48/5.92 % (167612)Peak memory usage: 98 MB
% 17.48/5.92 % (167612)Instructions burned: 114 (million)
% 17.48/5.92 % (167614)lrs+10_1_sil=8000:sp=occurrence:random_seed=3570271091:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 17.48/5.92 % (167617)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3964819649:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 17.48/5.92 % (167616)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1140167532:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 17.48/5.92 % (167616)Refutation not found, incomplete strategy
% 17.48/5.92 % (167616)------------------------------
% 17.48/5.92 % (167616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.48/5.92 % (167616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.48/5.92 % (167616)CaDiCaL version: 2.1.3
% 17.48/5.92 % (167616)Termination reason: Refutation not found, incomplete strategy
% 17.48/5.92 % (167616)Time elapsed: 0.039 s
% 17.48/5.92 % (167616)Peak memory usage: 102 MB
% 17.48/5.92 % (167616)Instructions burned: 48 (million)
% 17.48/5.92 % (167614)Instruction limit reached!
% 17.48/5.92 % (167614)------------------------------
% 17.48/5.92 % (167614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.48/5.92 % (167614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.48/5.92 % (167614)CaDiCaL version: 2.1.3
% 17.48/5.92 % (167614)Termination reason: Instruction limit
% 17.48/5.92 % (167614)Termination phase: Saturation
% 17.48/5.92 % (167614)Time elapsed: 0.299 s
% 17.48/5.92 % (167614)Peak memory usage: 111 MB
% 17.48/5.92 % (167614)Instructions burned: 910 (million)
% 17.48/5.92 % (167616)------------------------------
% 17.48/5.92 % (167616)------------------------------
% 17.48/5.92 % (167621)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1069083375:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2983 on theBenchmark for (2983ds/134Mi)
% 17.48/5.92 % (167621)Instruction limit reached!
% 17.48/5.92 % (167621)------------------------------
% 17.48/5.92 % (167621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.48/5.92 % (167621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.48/5.92 % (167621)CaDiCaL version: 2.1.3
% 17.48/5.92 % (167621)Termination reason: Instruction limit
% 17.48/5.92 % (167621)Termination phase: Saturation
% 17.48/5.92 % (167621)Time elapsed: 0.065 s
% 17.48/5.92 % (167621)Peak memory usage: 103 MB
% 17.48/5.92 % (167621)Instructions burned: 136 (million)
% 17.48/5.92 % (167622)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2599692299:st=8:i=592:sd=3:ep=RST:ss=axioms_2982 on theBenchmark for (2982ds/592Mi)
% 17.48/5.92 % (167624)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=471093467:st=3:i=13193:sd=3:ss=axioms_2981 on theBenchmark for (2981ds/13193Mi)
% 17.48/5.92 % (167622)Refutation not found, incomplete strategy
% 17.48/5.92 % (167622)------------------------------
% 17.48/5.92 % (167622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.48/5.92 % (167622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.48/5.92 % (167622)CaDiCaL version: 2.1.3
% 17.48/5.92 % (167622)Termination reason: Refutation not found, incomplete strategy
% 17.48/5.92 % (167622)Time elapsed: 0.182 s
% 17.48/5.92 % (167622)Peak memory usage: 107 MB
% 17.48/5.92 % (167622)Instructions burned: 291 (million)
% 17.48/5.92 % (167622)------------------------------
% 17.48/5.92 % (167622)------------------------------
% 17.48/5.92 % (167627)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2515234502:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/125Mi)
% 17.48/5.92 % (167627)Instruction limit reached!
% 17.48/5.92 % (167627)------------------------------
% 17.48/5.92 % (167627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.48/5.92 % (167627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.48/5.92 % (167627)CaDiCaL version: 2.1.3
% 17.48/5.92 % (167627)Termination reason: Instruction limit
% 17.48/5.92 % (167627)Termination phase: SInE selection
% 17.48/5.92 % (167627)Time elapsed: 0.064 s
% 17.48/5.92 % (167627)Peak memory usage: 99 MB
% 17.48/5.92 % (167627)Instructions burned: 125 (million)
% 17.48/5.92 % (167606)Instruction limit reached!
% 17.48/5.92 % (167606)------------------------------
% 17.48/5.92 % (167606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.48/5.92 % (167606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.48/5.92 % (167606)CaDiCaL version: 2.1.3
% 17.48/5.92 % (167606)Termination reason: Instruction limit
% 17.48/5.92 % (167606)Termination phase: Saturation
% 17.48/5.92 % (167606)Time elapsed: 1.631 s
% 17.48/5.92 % (167606)Peak memory usage: 273 MB
% 17.48/5.92 % (167606)Instructions burned: 2351 (million)
% 17.48/5.92 % (167629)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4231270053:i=134:gtgl=5:slsql=off:gtg=exists_sym_2974 on theBenchmark for (2974ds/134Mi)
% 17.48/5.92 % (167629)Instruction limit reached!
% 17.48/5.92 % (167629)------------------------------
% 17.48/5.92 % (167629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.48/5.92 % (167629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.48/5.92 % (167629)CaDiCaL version: 2.1.3
% 17.48/5.92 % (167629)Termination reason: Instruction limit
% 17.48/5.92 % (167629)Termination phase: Property scanning
% 17.48/5.92 % (167629)Time elapsed: 0.067 s
% 17.48/5.92 % (167629)Peak memory usage: 98 MB
% 17.48/5.92 % (167629)Instructions burned: 134 (million)
% 17.48/5.92 % (167631)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1359961795:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/141Mi)
% 17.48/5.92 % (167632)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=786784888:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2972 on theBenchmark for (2972ds/431Mi)
% 17.48/5.92 % (167631)Instruction limit reached!
% 17.48/5.92 % (167631)------------------------------
% 17.48/5.92 % (167631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.48/5.92 % (167631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.48/5.92 % (167631)CaDiCaL version: 2.1.3
% 17.48/5.92 % (167631)Termination reason: Instruction limit
% 17.48/5.92 % (167631)Termination phase: Saturation
% 17.48/5.92 % (167631)Time elapsed: 0.084 s
% 17.48/5.92 % (167631)Peak memory usage: 104 MB
% 17.48/5.92 % (167631)Instructions burned: 143 (million)
% 17.48/5.92 % (167632)Refutation not found, incomplete strategy
% 17.48/5.92 % (167632)------------------------------
% 17.48/5.92 % (167632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.48/5.92 % (167632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.48/5.92 % (167632)CaDiCaL version: 2.1.3
% 17.48/5.92 % (167632)Termination reason: Refutation not found, incomplete strategy
% 17.48/5.92 % (167632)Time elapsed: 0.041 s
% 17.48/5.92 % (167632)Peak memory usage: 103 MB
% 17.48/5.92 % (167632)Instructions burned: 49 (million)
% 17.48/5.92 % (167635)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2718485788:i=6060:aac=none:ins=25_2970 on theBenchmark for (2970ds/6060Mi)
% 17.48/5.92 % (167632)------------------------------
% 17.48/5.92 % (167632)------------------------------
% 17.48/5.92 % (167637)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=921557421:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2968 on theBenchmark for (2968ds/150Mi)
% 17.48/5.92 % (167637)Instruction limit reached!
% 17.48/5.92 % (167637)------------------------------
% 17.48/5.92 % (167637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.18/6.17 % (167637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.18/6.17 % (167637)CaDiCaL version: 2.1.3
% 35.18/6.17 % (167637)Termination reason: Instruction limit
% 35.18/6.17 % (167637)Termination phase: Preprocessing 3
% 35.18/6.17 % (167637)Time elapsed: 0.100 s
% 35.18/6.17 % (167637)Peak memory usage: 104 MB
% 35.18/6.17 % (167637)Instructions burned: 151 (million)
% 35.18/6.17 % (167641)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=287562646:i=14155:bd=all_2965 on theBenchmark for (2965ds/14155Mi)
% 35.18/6.17 % (167583)First to succeed.
% 35.18/6.17 % (167583)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-167578"
% 35.18/6.17 % (167617)Instruction limit reached!
% 35.18/6.17 % (167617)------------------------------
% 35.18/6.17 % (167617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.18/6.17 % (167617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.18/6.17 % (167617)CaDiCaL version: 2.1.3
% 35.18/6.17 % (167617)Termination reason: Instruction limit
% 35.18/6.17 % (167617)Termination phase: Saturation
% 35.18/6.17 % (167617)Time elapsed: 3.577 s
% 35.18/6.17 % (167617)Peak memory usage: 177 MB
% 35.18/6.17 % (167617)Instructions burned: 5203 (million)
% 35.18/6.17 % (167643)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=29992579:i=667:av=off:fsr=off_2949 on theBenchmark for (2949ds/667Mi)
% 35.18/6.17 % (167583)Refutation found. Thanks to Tanya!
% 35.18/6.17 % SZS status ContradictoryAxioms for theBenchmark
% 35.18/6.17 % SZS output start Proof for theBenchmark
% See solution above
% 35.18/6.17 % (167583)------------------------------
% 35.18/6.17 % (167583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.18/6.17 % (167583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.18/6.17 % (167583)CaDiCaL version: 2.1.3
% 35.18/6.17 % (167583)Termination reason: Refutation
% 35.18/6.17 % (167583)Time elapsed: 4.349 s
% 35.18/6.17 % (167583)Peak memory usage: 302 MB
% 35.18/6.17 % (167583)Instructions burned: 7157 (million)
% 35.18/6.17 % (167583)------------------------------
% 35.18/6.17 % (167583)------------------------------
% 35.18/6.17 % (167578)Success in time 5.24 s
% 35.18/6.17 % Vampire exiting
%------------------------------------------------------------------------------