%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR106+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 09:43:05 AM UTC 2026
% Result : ContradictoryAxioms 15.43s 3.43s
% Output : Refutation 19.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 6
% Syntax : Number of formulae : 61 ( 7 unt; 3 def)
% Number of atoms : 229 ( 36 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 265 ( 97 ~; 114 |; 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 : 159 ( 0 sgn 152 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f501,axiom,
! [X0] : s__instance(X0,s__Entity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_502) ).
fof(f3484,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/sandbox/benchmark/theBenchmark.p',kb_SUMO_3496) ).
fof(f3520,axiom,
! [X0] :
( s__instance(X0,s__SetOrClass)
=> ( s__instance(X0,s__NullSet)
=> ~ ? [X1] : s__instance(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_3533) ).
fof(f11183,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,[],[f3484]) ).
fof(f11184,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,[],[f11183]) ).
fof(f11185,plain,
! [X0] :
( ! [X1] : ~ s__instance(X1,X0)
| ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) ),
inference(ennf_transformation,[],[f3520]) ).
fof(f11186,plain,
! [X0] :
( ! [X1] : ~ s__instance(X1,X0)
| ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) ),
inference(flattening,[],[f11185]) ).
fof(f12435,definition,
! [X1,X2,X0] :
( sP10(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,[sP10])],[predicate_definition_introduction]) ).
fof(f12436,plain,
! [X0,X1,X2] :
( X1 = s__UnionFn(X2,X0)
<=> sP10(X1,X2,X0) ),
inference(definition_folding,[],[f11184,f12435]) ).
fof(f12656,plain,
! [X1,X2,X0] :
( ( sP10(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) )
| ~ sP10(X1,X2,X0) ) ),
inference(nnf_transformation,[],[f12435]) ).
fof(f12657,plain,
! [X0,X1,X2] :
( ( sP10(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) )
| ~ sP10(X0,X1,X2) ) ),
inference(rectify,[],[f12656]) ).
fof(f12658,plain,
! [X0,X1,X2] :
( ( sP10(X0,X1,X2)
| ( ( ~ s__instance(sK155(X0,X1,X2),X0)
| ~ s__instance(sK156(X0,X1,X2),X0)
| ( ~ s__instance(sK157(X0,X1,X2),X1)
& ~ s__instance(sK157(X0,X1,X2),X2) ) )
& s__instance(sK155(X0,X1,X2),X1)
& s__instance(sK156(X0,X1,X2),X2)
& s__instance(sK157(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) )
| ~ sP10(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK155,sK156,sK157]),skolemize(X3,sK155(X0,X1,X2)),skolemize(X4,sK156(X0,X1,X2)),skolemize(X5,sK157(X0,X1,X2))],[f12657]) ).
fof(f12659,plain,
! [X0,X1,X2] :
( ( X1 = s__UnionFn(X2,X0)
| ~ sP10(X1,X2,X0) )
& ( sP10(X1,X2,X0)
| s__UnionFn(X2,X0) != X1 ) ),
inference(nnf_transformation,[],[f12436]) ).
fof(f14822,plain,
! [X0] : s__instance(X0,s__Entity),
inference(cnf_transformation,[],[f501]) ).
fof(f18047,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| s__instance(X2,s__SetOrClass) ),
inference(cnf_transformation,[],[f12658]) ).
fof(f18048,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[],[f12658]) ).
fof(f18049,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| s__instance(X1,s__SetOrClass) ),
inference(cnf_transformation,[],[f12658]) ).
fof(f18050,plain,
! [X2,X0,X1] :
( s__instance(sK157(X0,X1,X2),X0)
| sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f12658]) ).
fof(f18051,plain,
! [X2,X0,X1] :
( s__instance(sK156(X0,X1,X2),X2)
| sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f12658]) ).
fof(f18052,plain,
! [X2,X0,X1] :
( s__instance(sK155(X0,X1,X2),X1)
| sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f12658]) ).
fof(f18056,plain,
! [X2,X0,X1] :
( ~ sP10(X1,X2,X0)
| s__UnionFn(X2,X0) = X1 ),
inference(cnf_transformation,[],[f12659]) ).
fof(f18092,plain,
! [X0,X1] :
( ~ s__instance(X1,X0)
| ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[],[f11186]) ).
fof(f23265,plain,
! [X2,X0,X1] :
( ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass)
| sP10(X1,X0,X2) ),
inference(resolution,[],[f18092,f18052]) ).
fof(f23266,plain,
! [X2,X0,X1] :
( ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass)
| sP10(X1,X2,X0) ),
inference(resolution,[],[f18092,f18051]) ).
fof(f23277,plain,
! [X2,X0,X1] :
( sP10(X1,X2,X0)
| ~ s__instance(X0,s__NullSet) ),
inference(forward_subsumption_resolution,[],[f23266,f18047]) ).
fof(f23278,plain,
! [X2,X0,X1] :
( sP10(X1,X0,X2)
| ~ s__instance(X0,s__NullSet) ),
inference(forward_subsumption_resolution,[],[f23265,f18049]) ).
fof(f23279,plain,
! [X2,X0,X1] :
( ~ s__instance(X0,s__NullSet)
| s__UnionFn(X1,X0) = X2 ),
inference(resolution,[],[f23277,f18056]) ).
fof(f23285,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) ),
inference(resolution,[],[f18050,f18092]) ).
fof(f23287,plain,
! [X2,X3,X0,X1] :
( sP10(s__NullSet,X0,X1)
| s__UnionFn(X2,sK157(s__NullSet,X0,X1)) = X3 ),
inference(resolution,[],[f18050,f23279]) ).
fof(f23288,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| ~ s__instance(X0,s__NullSet) ),
inference(forward_subsumption_resolution,[],[f23285,f18048]) ).
fof(f23289,plain,
! [X2,X0,X1] :
( ~ s__instance(X0,s__NullSet)
| s__UnionFn(X1,X2) = X0 ),
inference(resolution,[],[f23288,f18056]) ).
fof(f23290,plain,
! [X2,X3,X0,X1] :
( sP10(X2,s__NullSet,X3)
| s__UnionFn(X0,X1) = sK155(X2,s__NullSet,X3) ),
inference(resolution,[],[f23289,f18052]) ).
fof(f23293,plain,
! [X2,X3,X0,X1] :
( s__UnionFn(X0,sK157(s__NullSet,X1,X2)) = X3
| s__NullSet = s__UnionFn(X1,X2) ),
inference(resolution,[],[f23287,f18056]) ).
fof(f23295,plain,
! [X2,X3,X0,X4] :
( X0 = X4
| s__NullSet = s__UnionFn(X2,X3)
| s__NullSet = s__UnionFn(X2,X3) ),
inference(superposition,[],[f23293,f23293]) ).
fof(f23300,plain,
! [X2,X3,X0,X4] :
( X0 = X4
| s__NullSet = s__UnionFn(X2,X3) ),
inference(duplicate_literal_removal,[],[f23295]) ).
fof(f23302,definition,
( spl504_69
<=> ! [X2,X3] : s__NullSet = s__UnionFn(X2,X3) ),
introduced(definition,[new_symbols(definition,[spl504_69])],[avatar_definition]) ).
fof(f23303,plain,
( ! [X2,X3] : s__NullSet = s__UnionFn(X2,X3)
| ~ spl504_69 ),
inference(avatar_component_clause,[],[f23302]) ).
fof(f23305,definition,
( spl504_70
<=> ! [X4,X0] : X0 = X4 ),
introduced(definition,[new_symbols(definition,[spl504_70])],[avatar_definition]) ).
fof(f23306,plain,
( ! [X0,X4] : X0 = X4
| ~ spl504_70 ),
inference(avatar_component_clause,[],[f23305]) ).
fof(f23307,plain,
( spl504_69
| spl504_70 ),
inference(avatar_split_clause,[],[f23300,f23305,f23302]) ).
fof(f23315,plain,
! [X2,X3,X0,X1] :
( s__UnionFn(X0,X1) = sK155(X2,s__NullSet,X3)
| s__UnionFn(s__NullSet,X3) = X2 ),
inference(resolution,[],[f23290,f18056]) ).
fof(f23316,plain,
( ! [X2,X3] :
( s__NullSet = sK155(X2,s__NullSet,X3)
| s__UnionFn(s__NullSet,X3) = X2 )
| ~ spl504_69 ),
inference(forward_demodulation,[],[f23315,f23303]) ).
fof(f23317,plain,
( ! [X2,X3] :
( s__NullSet = sK155(X2,s__NullSet,X3)
| s__NullSet = X2 )
| ~ spl504_69 ),
inference(forward_demodulation,[],[f23316,f23303]) ).
fof(f23319,plain,
( ! [X0,X1] :
( s__instance(s__NullSet,s__NullSet)
| sP10(X0,s__NullSet,X1)
| s__NullSet = X0 )
| ~ spl504_69 ),
inference(superposition,[],[f18052,f23317]) ).
fof(f23320,plain,
( ! [X0,X1] :
( sP10(X0,s__NullSet,X1)
| s__NullSet = X0 )
| ~ spl504_69 ),
inference(forward_subsumption_resolution,[],[f23319,f23278]) ).
fof(f23321,plain,
( ! [X0,X1] :
( s__NullSet = X0
| s__UnionFn(s__NullSet,X1) = X0 )
| ~ spl504_69 ),
inference(resolution,[],[f23320,f18056]) ).
fof(f23322,plain,
( ! [X0] :
( s__NullSet = X0
| s__NullSet = X0 )
| ~ spl504_69 ),
inference(forward_demodulation,[],[f23321,f23303]) ).
fof(f23323,plain,
( ! [X0] : s__NullSet = X0
| ~ spl504_69 ),
inference(duplicate_literal_removal,[],[f23322]) ).
fof(f23324,plain,
( ! [X0,X1] : X0 = X1
| ~ spl504_69 ),
inference(superposition,[],[f23323,f23323]) ).
fof(f23344,plain,
( spl504_70
| ~ spl504_69 ),
inference(avatar_split_clause,[],[f23324,f23302,f23305]) ).
fof(f23362,plain,
( ! [X0,X1] : s__instance(X1,X0)
| ~ spl504_70 ),
inference(superposition,[],[f14822,f23306]) ).
fof(f23379,plain,
( ! [X0] :
( ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) )
| ~ spl504_70 ),
inference(resolution,[],[f23362,f18092]) ).
fof(f23383,plain,
( ! [X0] : ~ s__instance(X0,s__NullSet)
| ~ spl504_70 ),
inference(forward_subsumption_resolution,[],[f23379,f23362]) ).
fof(f23384,plain,
( $false
| ~ spl504_70 ),
inference(forward_subsumption_resolution,[],[f23383,f23362]) ).
fof(f23385,plain,
~ spl504_70,
inference(avatar_contradiction_clause,[],[f23384]) ).
cnf(s40,plain,
( spl504_69
| spl504_70 ),
inference(sat_conversion,[],[f23307]) ).
cnf(s42,plain,
( ~ spl504_69
| spl504_70 ),
inference(sat_conversion,[],[f23344]) ).
cnf(s43,plain,
~ spl504_70,
inference(sat_conversion,[],[f23385]) ).
cnf(s44,plain,
~ spl504_69,
inference(rat,[],[s42,s43]) ).
cnf(s46,plain,
$false,
inference(rat,[],[s40,s43,s44]) ).
fof(f23386,plain,
$false,
inference(avatar_sat_refutation,[],[s46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR106+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n005.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 22:56:16 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 12.56/2.60 % (1265669)Detected formulas, will run a generic FOF schedule.
% 12.56/2.60 % (1265676)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=2723482344:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 12.56/2.60 % (1265679)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=203596917:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 12.56/2.60 % (1265675)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=2205627721:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 12.56/2.60 % (1265674)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=15655483:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 12.56/2.60 % (1265678)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1780672280:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 12.56/2.60 % (1265677)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=159909047:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 12.56/2.60 % (1265680)dis-21_1_sil=8000:lcm=predicate:random_seed=2543795187:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 12.56/2.60 % (1265677)Refutation not found, incomplete strategy
% 12.56/2.60 % (1265677)------------------------------
% 12.56/2.60 % (1265677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.56/2.60 % (1265677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.60 % (1265677)CaDiCaL version: 2.1.3
% 12.56/2.60 % (1265677)Termination reason: Refutation not found, incomplete strategy
% 12.56/2.60 % (1265677)Time elapsed: 0.038 s
% 12.56/2.60 % (1265677)Peak memory usage: 94 MB
% 12.56/2.60 % (1265677)Instructions burned: 38 (million)
% 12.56/2.60 % (1265678)Instruction limit reached!
% 12.56/2.60 % (1265678)------------------------------
% 12.56/2.60 % (1265678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.56/2.60 % (1265678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.60 % (1265678)CaDiCaL version: 2.1.3
% 12.56/2.60 % (1265678)Termination reason: Instruction limit
% 12.56/2.60 % (1265678)Termination phase: Saturation
% 12.56/2.60 % (1265678)Time elapsed: 0.055 s
% 12.56/2.60 % (1265678)Peak memory usage: 94 MB
% 12.56/2.60 % (1265678)Instructions burned: 120 (million)
% 12.56/2.60 % (1265679)Instruction limit reached!
% 12.56/2.60 % (1265679)------------------------------
% 12.56/2.60 % (1265679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.56/2.60 % (1265679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.60 % (1265679)CaDiCaL version: 2.1.3
% 12.56/2.60 % (1265679)Termination reason: Instruction limit
% 12.56/2.60 % (1265679)Termination phase: Preprocessing 3
% 12.56/2.60 % (1265679)Time elapsed: 0.076 s
% 12.56/2.60 % (1265679)Peak memory usage: 94 MB
% 12.56/2.60 % (1265679)Instructions burned: 141 (million)
% 12.56/2.60 % (1265680)Instruction limit reached!
% 12.56/2.60 % (1265680)------------------------------
% 12.56/2.60 % (1265680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.56/2.60 % (1265680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.60 % (1265680)CaDiCaL version: 2.1.3
% 12.56/2.60 % (1265680)Termination reason: Instruction limit
% 12.56/2.60 % (1265680)Termination phase: Property scanning
% 12.56/2.60 % (1265680)Time elapsed: 0.072 s
% 12.56/2.60 % (1265680)Peak memory usage: 94 MB
% 12.56/2.60 % (1265680)Instructions burned: 131 (million)
% 12.56/2.60 % (1265688)lrs+10_1_sil=8000:sp=occurrence:random_seed=95030382:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 12.56/2.60 % (1265689)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4191528741:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 12.56/2.60 % (1265690)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1383923130:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 12.56/2.60 % (1265689)Refutation not found, incomplete strategy
% 12.56/2.60 % (1265689)------------------------------
% 12.56/2.60 % (1265689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.56/2.60 % (1265689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.43 % (1265689)CaDiCaL version: 2.1.3
% 15.43/3.43 % (1265689)Termination reason: Refutation not found, incomplete strategy
% 15.43/3.43 % (1265689)Time elapsed: 0.039 s
% 15.43/3.43 % (1265689)Peak memory usage: 95 MB
% 15.43/3.43 % (1265689)Instructions burned: 83 (million)
% 15.43/3.43 % (1265677)------------------------------
% 15.43/3.43 % (1265677)------------------------------
% 15.43/3.43 % (1265690)Instruction limit reached!
% 15.43/3.43 % (1265690)------------------------------
% 15.43/3.43 % (1265690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.43/3.43 % (1265690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.43 % (1265690)CaDiCaL version: 2.1.3
% 15.43/3.43 % (1265690)Termination reason: Instruction limit
% 15.43/3.43 % (1265690)Termination phase: Saturation
% 15.43/3.43 % (1265690)Time elapsed: 0.131 s
% 15.43/3.43 % (1265690)Peak memory usage: 95 MB
% 15.43/3.43 % (1265690)Instructions burned: 328 (million)
% 15.43/3.43 % (1265688)Instruction limit reached!
% 15.43/3.43 % (1265688)------------------------------
% 15.43/3.43 % (1265688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.43/3.43 % (1265688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.43 % (1265688)CaDiCaL version: 2.1.3
% 15.43/3.43 % (1265688)Termination reason: Instruction limit
% 15.43/3.43 % (1265688)Termination phase: Saturation
% 15.43/3.43 % (1265688)Time elapsed: 0.180 s
% 15.43/3.43 % (1265688)Peak memory usage: 97 MB
% 15.43/3.43 % (1265688)Instructions burned: 287 (million)
% 15.43/3.43 % (1265694)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=2910395584:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 15.43/3.43 % (1265695)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2051969262:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 15.43/3.43 % (1265696)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2366824502:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 15.43/3.43 % (1265689)------------------------------
% 15.43/3.43 % (1265689)------------------------------
% 15.43/3.43 % (1265695)Refutation not found, incomplete strategy
% 15.43/3.43 % (1265695)------------------------------
% 15.43/3.43 % (1265695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.43/3.43 % (1265695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.43 % (1265695)CaDiCaL version: 2.1.3
% 15.43/3.43 % (1265695)Termination reason: Refutation not found, incomplete strategy
% 15.43/3.43 % (1265695)Time elapsed: 0.034 s
% 15.43/3.43 % (1265695)Peak memory usage: 95 MB
% 15.43/3.43 % (1265695)Instructions burned: 63 (million)
% 15.43/3.43 % (1265694)Instruction limit reached!
% 15.43/3.43 % (1265694)------------------------------
% 15.43/3.43 % (1265694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.43/3.43 % (1265694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.43 % (1265694)CaDiCaL version: 2.1.3
% 15.43/3.43 % (1265694)Termination reason: Instruction limit
% 15.43/3.43 % (1265694)Termination phase: Saturation
% 15.43/3.43 % (1265694)Time elapsed: 0.127 s
% 15.43/3.43 % (1265694)Peak memory usage: 99 MB
% 15.43/3.43 % (1265694)Instructions burned: 250 (million)
% 15.43/3.43 % (1265700)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2545308590:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 15.43/3.43 % (1265700)Instruction limit reached!
% 15.43/3.43 % (1265700)------------------------------
% 15.43/3.43 % (1265700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.43/3.43 % (1265700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.43 % (1265700)CaDiCaL version: 2.1.3
% 15.43/3.43 % (1265700)Termination reason: Instruction limit
% 15.43/3.43 % (1265700)Termination phase: Saturation
% 15.43/3.43 % (1265700)Time elapsed: 0.065 s
% 15.43/3.43 % (1265700)Peak memory usage: 96 MB
% 15.43/3.43 % (1265700)Instructions burned: 114 (million)
% 15.43/3.43 % (1265701)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3795152215:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 15.43/3.43 % (1265695)------------------------------
% 15.43/3.43 % (1265695)------------------------------
% 15.43/3.43 % (1265701)Instruction limit reached!
% 15.43/3.43 % (1265701)------------------------------
% 15.43/3.43 % (1265701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.43/3.43 % (1265701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.43 % (1265701)CaDiCaL version: 2.1.3
% 15.43/3.43 % (1265701)Termination reason: Instruction limit
% 15.43/3.43 % (1265701)Termination phase: Property scanning
% 15.43/3.43 % (1265701)Time elapsed: 0.078 s
% 15.43/3.43 % (1265701)Peak memory usage: 96 MB
% 15.43/3.43 % (1265701)Instructions burned: 128 (million)
% 15.43/3.43 % (1265704)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1932147958:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 15.43/3.43 % (1265705)lrs+10_1_sil=8000:sp=occurrence:random_seed=1521083263:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 15.43/3.43 % (1265704)Instruction limit reached!
% 15.43/3.43 % (1265704)------------------------------
% 15.43/3.43 % (1265704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.43/3.43 % (1265704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.43 % (1265704)CaDiCaL version: 2.1.3
% 15.43/3.43 % (1265704)Termination reason: Instruction limit
% 15.43/3.43 % (1265704)Termination phase: SInE selection
% 15.43/3.43 % (1265704)Time elapsed: 0.054 s
% 15.43/3.43 % (1265704)Peak memory usage: 91 MB
% 15.43/3.43 % (1265704)Instructions burned: 115 (million)
% 15.43/3.43 % (1265706)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=154053943:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 15.43/3.43 % (1265706)Refutation not found, incomplete strategy
% 15.43/3.43 % (1265706)------------------------------
% 15.43/3.43 % (1265706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.43/3.43 % (1265706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.43 % (1265706)CaDiCaL version: 2.1.3
% 15.43/3.43 % (1265706)Termination reason: Refutation not found, incomplete strategy
% 15.43/3.43 % (1265706)Time elapsed: 0.031 s
% 15.43/3.43 % (1265706)Peak memory usage: 95 MB
% 15.43/3.43 % (1265706)Instructions burned: 56 (million)
% 15.43/3.43 % (1265709)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4015988357:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 15.43/3.43 % (1265706)------------------------------
% 15.43/3.43 % (1265706)------------------------------
% 15.43/3.43 % (1265712)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=908490903:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 15.43/3.43 % (1265712)Instruction limit reached!
% 15.43/3.43 % (1265712)------------------------------
% 15.43/3.43 % (1265712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.43/3.43 % (1265712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.43 % (1265712)CaDiCaL version: 2.1.3
% 15.43/3.43 % (1265712)Termination reason: Instruction limit
% 15.43/3.43 % (1265712)Termination phase: Saturation
% 15.43/3.43 % (1265712)Time elapsed: 0.070 s
% 15.43/3.43 % (1265712)Peak memory usage: 96 MB
% 15.43/3.43 % (1265712)Instructions burned: 134 (million)
% 15.43/3.43 % (1265705)Instruction limit reached!
% 15.43/3.43 % (1265705)------------------------------
% 15.43/3.43 % (1265705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.43/3.43 % (1265705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.43 % (1265705)CaDiCaL version: 2.1.3
% 15.43/3.43 % (1265705)Termination reason: Instruction limit
% 15.43/3.43 % (1265705)Termination phase: Saturation
% 15.43/3.43 % (1265705)Time elapsed: 0.528 s
% 15.43/3.43 % (1265705)Peak memory usage: 102 MB
% 15.43/3.43 % (1265705)Instructions burned: 907 (million)
% 15.43/3.43 % (1265714)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1604636508:st=8:i=592:sd=3:ep=RST:ss=axioms_2982 on theBenchmark for (2982ds/592Mi)
% 15.43/3.43 % (1265715)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3969509422:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 15.43/3.43 % (1265714)Refutation not found, incomplete strategy
% 15.43/3.43 % (1265714)------------------------------
% 15.43/3.43 % (1265714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.43/3.43 % (1265714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.43 % (1265714)CaDiCaL version: 2.1.3
% 15.43/3.43 % (1265714)Termination reason: Refutation not found, incomplete strategy
% 15.43/3.43 % (1265714)Time elapsed: 0.090 s
% 15.43/3.43 % (1265714)Peak memory usage: 97 MB
% 15.43/3.43 % (1265714)Instructions burned: 169 (million)
% 15.43/3.43 % (1265714)------------------------------
% 15.43/3.43 % (1265714)------------------------------
% 15.43/3.43 % (1265696)Instruction limit reached!
% 15.43/3.43 % (1265696)------------------------------
% 15.43/3.43 % (1265696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.43/3.43 % (1265696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.43 % (1265696)CaDiCaL version: 2.1.3
% 15.43/3.43 % (1265696)Termination reason: Instruction limit
% 15.43/3.43 % (1265696)Termination phase: Saturation
% 15.43/3.43 % (1265696)Time elapsed: 1.393 s
% 15.43/3.43 % (1265696)Peak memory usage: 172 MB
% 15.43/3.43 % (1265696)Instructions burned: 2351 (million)
% 15.43/3.43 % (1265718)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=976040077:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/125Mi)
% 15.43/3.43 % (1265718)Instruction limit reached!
% 15.43/3.43 % (1265718)------------------------------
% 15.43/3.43 % (1265718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.43/3.43 % (1265718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.43 % (1265718)CaDiCaL version: 2.1.3
% 15.43/3.43 % (1265718)Termination reason: Instruction limit
% 15.43/3.43 % (1265718)Termination phase: Saturation
% 15.43/3.43 % (1265718)Time elapsed: 0.063 s
% 15.43/3.43 % (1265718)Peak memory usage: 95 MB
% 15.43/3.43 % (1265718)Instructions burned: 125 (million)
% 15.43/3.43 % (1265719)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2070553943:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 15.43/3.43 % (1265719)Instruction limit reached!
% 15.43/3.43 % (1265719)------------------------------
% 15.43/3.43 % (1265719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.43/3.43 % (1265719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.43 % (1265719)CaDiCaL version: 2.1.3
% 15.43/3.43 % (1265719)Termination reason: Instruction limit
% 15.43/3.43 % (1265719)Termination phase: SInE selection
% 15.43/3.43 % (1265719)Time elapsed: 0.063 s
% 15.43/3.43 % (1265719)Peak memory usage: 92 MB
% 15.43/3.43 % (1265719)Instructions burned: 134 (million)
% 15.43/3.43 % (1265674)First to succeed.
% 15.43/3.43 % (1265674)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1265669"
% 15.43/3.43 % (1265721)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3384092242:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/141Mi)
% 15.43/3.43 % (1265721)Refutation not found, incomplete strategy
% 15.43/3.43 % (1265721)------------------------------
% 15.43/3.43 % (1265721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.43/3.43 % (1265721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.43 % (1265721)CaDiCaL version: 2.1.3
% 15.43/3.43 % (1265721)Termination reason: Refutation not found, incomplete strategy
% 15.43/3.43 % (1265721)Time elapsed: 0.022 s
% 15.43/3.43 % (1265721)Peak memory usage: 94 MB
% 15.43/3.43 % (1265721)Instructions burned: 37 (million)
% 15.43/3.43 % (1265723)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=8270608:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 15.43/3.43 % (1265674)Refutation found. Thanks to Tanya!
% 15.43/3.43 % SZS status ContradictoryAxioms for theBenchmark
% 15.43/3.43 % SZS output start Proof for theBenchmark
% See solution above
% 19.01/3.67 % (1265674)------------------------------
% 19.01/3.67 % (1265674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.01/3.67 % (1265674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.01/3.67 % (1265674)CaDiCaL version: 2.1.3
% 19.01/3.67 % (1265674)Termination reason: Refutation
% 19.01/3.67 % (1265674)Time elapsed: 2.166 s
% 19.01/3.67 % (1265674)Peak memory usage: 198 MB
% 19.01/3.67 % (1265674)Instructions burned: 3767 (million)
% 19.01/3.67 % (1265674)------------------------------
% 19.01/3.67 % (1265674)------------------------------
% 19.01/3.67 % (1265669)Success in time 2.764 s
% 19.01/3.67 % Vampire exiting
%------------------------------------------------------------------------------