%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR082+1 : 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 : n011.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 09:42:45 AM UTC 2026
% Result : Theorem 19.38s 3.93s
% Output : Refutation 22.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 65 ( 19 unt; 4 def)
% Number of atoms : 141 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 147 ( 71 ~; 59 |; 6 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 49 ( 0 sgn 45 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
! [X0,X1] :
( s__subclass(X0,X1)
=> ( s__instance(X0,s__SetOrClass)
& s__instance(X1,s__SetOrClass) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_26) ).
fof(f27,axiom,
! [X0,X1,X2] :
( ( s__instance(X1,s__SetOrClass)
& s__instance(X0,s__SetOrClass) )
=> ( ( s__subclass(X0,X1)
& s__instance(X2,X0) )
=> s__instance(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_27) ).
fof(f5278,axiom,
! [X0] :
( s__instance(X0,s__Object)
=> ( s__instance(X0,s__CognitiveAgent)
=> s__capability(s__Reasoning,s__agent__m,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_5315) ).
fof(f5629,axiom,
! [X0] :
( s__instance(X0,s__Object)
=> ( s__instance(X0,s__SentientAgent)
=> s__capability(s__Perception,s__experiencer__m,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_5688) ).
fof(f6013,axiom,
s__subclass(s__Human,s__CognitiveAgent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_6087) ).
fof(f13268,axiom,
s__subclass(s__Human,s__SentientAgent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMOcache_6051) ).
fof(f13275,axiom,
s__subclass(s__Human,s__Object),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMOcache_6058) ).
fof(f14788,axiom,
s__instance(s__Jane8_1,s__Human),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_1) ).
fof(f14789,conjecture,
? [X0,X1] :
( s__capability(s__Reasoning,X0,s__Jane8_1)
& s__capability(s__Perception,X1,s__Jane8_1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_from_SUMO) ).
fof(f14790,negated_conjecture,
~ ? [X0,X1] :
( s__capability(s__Reasoning,X0,s__Jane8_1)
& s__capability(s__Perception,X1,s__Jane8_1) ),
inference(negated_conjecture,[status(cth)],[f14789]) ).
fof(f14970,plain,
! [X0,X1] :
( ~ s__capability(s__Reasoning,X0,s__Jane8_1)
| ~ s__capability(s__Perception,X1,s__Jane8_1) ),
inference(ennf_transformation,[],[f14790]) ).
fof(f14979,plain,
! [X0] :
( s__capability(s__Perception,s__experiencer__m,X0)
| ~ s__instance(X0,s__SentientAgent)
| ~ s__instance(X0,s__Object) ),
inference(ennf_transformation,[],[f5629]) ).
fof(f14980,plain,
! [X0] :
( s__capability(s__Perception,s__experiencer__m,X0)
| ~ s__instance(X0,s__SentientAgent)
| ~ s__instance(X0,s__Object) ),
inference(flattening,[],[f14979]) ).
fof(f14981,plain,
! [X0] :
( s__capability(s__Reasoning,s__agent__m,X0)
| ~ s__instance(X0,s__CognitiveAgent)
| ~ s__instance(X0,s__Object) ),
inference(ennf_transformation,[],[f5278]) ).
fof(f14982,plain,
! [X0] :
( s__capability(s__Reasoning,s__agent__m,X0)
| ~ s__instance(X0,s__CognitiveAgent)
| ~ s__instance(X0,s__Object) ),
inference(flattening,[],[f14981]) ).
fof(f15034,plain,
! [X0,X1,X2] :
( s__instance(X2,X1)
| ~ s__subclass(X0,X1)
| ~ s__instance(X2,X0)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass) ),
inference(ennf_transformation,[],[f27]) ).
fof(f15035,plain,
! [X0,X1,X2] :
( s__instance(X2,X1)
| ~ s__subclass(X0,X1)
| ~ s__instance(X2,X0)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass) ),
inference(flattening,[],[f15034]) ).
fof(f15036,plain,
! [X0,X1] :
( ( s__instance(X0,s__SetOrClass)
& s__instance(X1,s__SetOrClass) )
| ~ s__subclass(X0,X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f16159,plain,
! [X0,X1] :
( ~ s__capability(s__Reasoning,X0,s__Jane8_1)
| ~ s__capability(s__Perception,X1,s__Jane8_1) ),
inference(cnf_transformation,[],[f14970]) ).
fof(f16165,plain,
! [X0] :
( s__capability(s__Perception,s__experiencer__m,X0)
| ~ s__instance(X0,s__SentientAgent)
| ~ s__instance(X0,s__Object) ),
inference(cnf_transformation,[],[f14980]) ).
fof(f16166,plain,
! [X0] :
( s__capability(s__Reasoning,s__agent__m,X0)
| ~ s__instance(X0,s__CognitiveAgent)
| ~ s__instance(X0,s__Object) ),
inference(cnf_transformation,[],[f14982]) ).
fof(f16207,plain,
s__instance(s__Jane8_1,s__Human),
inference(cnf_transformation,[],[f14788]) ).
fof(f16287,plain,
! [X2,X0,X1] :
( s__instance(X2,X1)
| ~ s__subclass(X0,X1)
| ~ s__instance(X2,X0)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[],[f15035]) ).
fof(f16288,plain,
! [X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X1,s__SetOrClass) ),
inference(cnf_transformation,[],[f15036]) ).
fof(f16289,plain,
! [X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[],[f15036]) ).
fof(f16339,plain,
s__subclass(s__Human,s__SentientAgent),
inference(cnf_transformation,[],[f13268]) ).
fof(f16374,plain,
s__subclass(s__Human,s__CognitiveAgent),
inference(cnf_transformation,[],[f6013]) ).
fof(f16927,plain,
s__subclass(s__Human,s__Object),
inference(cnf_transformation,[],[f13275]) ).
fof(f18908,plain,
! [X2,X0,X1] :
( s__instance(X2,X1)
| ~ s__subclass(X0,X1)
| ~ s__instance(X2,X0)
| ~ s__instance(X0,s__SetOrClass) ),
inference(forward_subsumption_resolution,[],[f16287,f16288]) ).
fof(f18940,definition,
( spl198_18
<=> ! [X1] : ~ s__capability(s__Perception,X1,s__Jane8_1) ),
introduced(definition,[new_symbols(definition,[spl198_18])],[avatar_definition]) ).
fof(f18941,plain,
( ! [X1] : ~ s__capability(s__Perception,X1,s__Jane8_1)
| ~ spl198_18 ),
inference(avatar_component_clause,[],[f18940]) ).
fof(f18943,definition,
( spl198_19
<=> ! [X0] : ~ s__capability(s__Reasoning,X0,s__Jane8_1) ),
introduced(definition,[new_symbols(definition,[spl198_19])],[avatar_definition]) ).
fof(f18944,plain,
( ! [X0] : ~ s__capability(s__Reasoning,X0,s__Jane8_1)
| ~ spl198_19 ),
inference(avatar_component_clause,[],[f18943]) ).
fof(f18945,plain,
( spl198_18
| spl198_19 ),
inference(avatar_split_clause,[],[f16159,f18943,f18940]) ).
fof(f18947,plain,
! [X2,X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X2,X1)
| ~ s__instance(X2,X0) ),
inference(forward_subsumption_resolution,[],[f18908,f16289]) ).
fof(f18952,plain,
( ~ s__instance(s__Jane8_1,s__SentientAgent)
| ~ s__instance(s__Jane8_1,s__Object)
| ~ spl198_18 ),
inference(resolution,[],[f16165,f18941]) ).
fof(f18954,definition,
( spl198_20
<=> s__instance(s__Jane8_1,s__Object) ),
introduced(definition,[new_symbols(definition,[spl198_20])],[avatar_definition]) ).
fof(f18955,plain,
( s__instance(s__Jane8_1,s__Object)
| ~ spl198_20 ),
inference(avatar_component_clause,[],[f18954]) ).
fof(f18956,plain,
( ~ s__instance(s__Jane8_1,s__Object)
| spl198_20 ),
inference(avatar_component_clause,[],[f18954]) ).
fof(f18958,definition,
( spl198_21
<=> s__instance(s__Jane8_1,s__SentientAgent) ),
introduced(definition,[new_symbols(definition,[spl198_21])],[avatar_definition]) ).
fof(f18960,plain,
( ~ s__instance(s__Jane8_1,s__SentientAgent)
| spl198_21 ),
inference(avatar_component_clause,[],[f18958]) ).
fof(f18961,plain,
( ~ spl198_20
| ~ spl198_21
| ~ spl198_18 ),
inference(avatar_split_clause,[],[f18952,f18940,f18958,f18954]) ).
fof(f18962,plain,
! [X0] :
( ~ s__instance(X0,s__Human)
| s__instance(X0,s__CognitiveAgent) ),
inference(resolution,[],[f16374,f18947]) ).
fof(f18963,plain,
s__instance(s__Jane8_1,s__CognitiveAgent),
inference(resolution,[],[f18962,f16207]) ).
fof(f18964,plain,
! [X0] :
( ~ s__instance(X0,s__Human)
| s__instance(X0,s__Object) ),
inference(resolution,[],[f16927,f18947]) ).
fof(f18965,plain,
s__instance(s__Jane8_1,s__Object),
inference(resolution,[],[f18964,f16207]) ).
fof(f18966,plain,
( $false
| spl198_20 ),
inference(forward_subsumption_resolution,[],[f18965,f18956]) ).
fof(f18967,plain,
spl198_20,
inference(avatar_contradiction_clause,[],[f18966]) ).
fof(f19030,plain,
! [X0] :
( ~ s__instance(X0,s__Human)
| s__instance(X0,s__SentientAgent) ),
inference(resolution,[],[f16339,f18947]) ).
fof(f19031,plain,
s__instance(s__Jane8_1,s__SentientAgent),
inference(resolution,[],[f19030,f16207]) ).
fof(f19032,plain,
( $false
| spl198_21 ),
inference(forward_subsumption_resolution,[],[f19031,f18960]) ).
fof(f19033,plain,
spl198_21,
inference(avatar_contradiction_clause,[],[f19032]) ).
fof(f19034,plain,
( ~ s__instance(s__Jane8_1,s__CognitiveAgent)
| ~ s__instance(s__Jane8_1,s__Object)
| ~ spl198_19 ),
inference(resolution,[],[f18944,f16166]) ).
fof(f19035,plain,
( ~ s__instance(s__Jane8_1,s__Object)
| ~ spl198_19 ),
inference(forward_subsumption_resolution,[],[f19034,f18963]) ).
fof(f19036,plain,
( $false
| ~ spl198_19
| ~ spl198_20 ),
inference(forward_subsumption_resolution,[],[f19035,f18955]) ).
fof(f19037,plain,
( ~ spl198_19
| ~ spl198_20 ),
inference(avatar_contradiction_clause,[],[f19036]) ).
cnf(s12,plain,
( spl198_18
| spl198_19 ),
inference(sat_conversion,[],[f18945]) ).
cnf(s13,plain,
( ~ spl198_18
| ~ spl198_20
| ~ spl198_21 ),
inference(sat_conversion,[],[f18961]) ).
cnf(s14,plain,
spl198_20,
inference(sat_conversion,[],[f18967]) ).
cnf(s15,plain,
spl198_21,
inference(sat_conversion,[],[f19033]) ).
cnf(s16,plain,
( ~ spl198_19
| ~ spl198_20 ),
inference(sat_conversion,[],[f19037]) ).
cnf(s17,plain,
~ spl198_19,
inference(rat,[],[s16,s14]) ).
cnf(s18,plain,
~ spl198_18,
inference(rat,[],[s13,s15,s14]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s12,s17,s18]) ).
fof(f19038,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR082+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.17 % Computer : n011.cluster.edu
% 0.13/0.17 % Model : x86_64 x86_64
% 0.13/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.17 % Memory : 8046.5625MB
% 0.13/0.17 % OS : Linux 6.8.0-71-generic
% 0.13/0.17 % CPULimit : 300
% 0.13/0.17 % WCLimit : 300
% 0.13/0.17 % DateTime : Mon Sep 28 22:32:16 UTC 2026
% 0.13/0.17 % CPUTime :
% 0.13/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.20 Running first-order theorem proving
% 0.13/0.20 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
% 11.19/2.53 % (3858355)Detected formulas, will run a generic FOF schedule.
% 11.19/2.53 % (3858364)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1989402594:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 11.19/2.53 % (3858364)Instruction limit reached!
% 11.19/2.53 % (3858364)------------------------------
% 11.19/2.53 % (3858364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.19/2.53 % (3858364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.19/2.53 % (3858364)CaDiCaL version: 2.1.3
% 11.19/2.53 % (3858364)Termination reason: Instruction limit
% 11.19/2.53 % (3858364)Termination phase: Saturation
% 11.19/2.53 % (3858364)Time elapsed: 0.038 s
% 11.19/2.53 % (3858364)Peak memory usage: 97 MB
% 11.19/2.53 % (3858364)Instructions burned: 122 (million)
% 11.19/2.53 % (3858366)dis-21_1_sil=8000:lcm=predicate:random_seed=4183359941:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 11.19/2.53 % (3858365)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=843943604:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 11.19/2.53 % (3858360)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=1215146880:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 11.19/2.53 % (3858361)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=1557798925:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 11.19/2.53 % (3858362)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=2022054467:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 11.19/2.53 % (3858363)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2385477512:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 11.19/2.53 % (3858363)Refutation not found, incomplete strategy
% 11.19/2.53 % (3858363)------------------------------
% 11.19/2.53 % (3858363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.19/2.53 % (3858363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.19/2.53 % (3858363)CaDiCaL version: 2.1.3
% 11.19/2.53 % (3858363)Termination reason: Refutation not found, incomplete strategy
% 11.19/2.53 % (3858363)Time elapsed: 0.033 s
% 11.19/2.53 % (3858363)Peak memory usage: 97 MB
% 11.19/2.53 % (3858363)Instructions burned: 62 (million)
% 11.19/2.53 % (3858365)Instruction limit reached!
% 11.19/2.53 % (3858365)------------------------------
% 11.19/2.53 % (3858365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.19/2.53 % (3858365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.19/2.53 % (3858365)CaDiCaL version: 2.1.3
% 11.19/2.53 % (3858365)Termination reason: Instruction limit
% 11.19/2.53 % (3858365)Termination phase: SInE selection
% 11.19/2.53 % (3858365)Time elapsed: 0.073 s
% 11.19/2.53 % (3858365)Peak memory usage: 94 MB
% 11.19/2.53 % (3858365)Instructions burned: 140 (million)
% 11.19/2.53 % (3858366)Instruction limit reached!
% 11.19/2.53 % (3858366)------------------------------
% 11.19/2.53 % (3858366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.19/2.53 % (3858366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.19/2.53 % (3858366)CaDiCaL version: 2.1.3
% 11.19/2.53 % (3858366)Termination reason: Instruction limit
% 11.19/2.53 % (3858366)Termination phase: Preprocessing 3
% 11.19/2.53 % (3858366)Time elapsed: 0.076 s
% 11.19/2.53 % (3858366)Peak memory usage: 96 MB
% 11.19/2.53 % (3858366)Instructions burned: 131 (million)
% 11.19/2.53 % (3858368)lrs+10_1_sil=8000:sp=occurrence:random_seed=50693868:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 11.19/2.53 % (3858368)Instruction limit reached!
% 11.19/2.53 % (3858368)------------------------------
% 11.19/2.53 % (3858368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.19/2.53 % (3858368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.19/2.53 % (3858368)CaDiCaL version: 2.1.3
% 11.19/2.53 % (3858368)Termination reason: Instruction limit
% 11.19/2.53 % (3858368)Termination phase: Saturation
% 11.19/2.53 % (3858368)Time elapsed: 0.086 s
% 11.19/2.53 % (3858368)Peak memory usage: 100 MB
% 11.19/2.53 % (3858368)Instructions burned: 288 (million)
% 12.40/2.94 % (3858375)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3452980522:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/157Mi)
% 12.40/2.94 % (3858376)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4185123017:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 12.40/2.94 % (3858376)Refutation not found, incomplete strategy
% 12.40/2.94 % (3858376)------------------------------
% 12.40/2.94 % (3858376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.40/2.94 % (3858376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.40/2.94 % (3858376)CaDiCaL version: 2.1.3
% 12.40/2.94 % (3858376)Termination reason: Refutation not found, incomplete strategy
% 12.40/2.94 % (3858376)Time elapsed: 0.033 s
% 12.40/2.94 % (3858376)Peak memory usage: 97 MB
% 12.40/2.94 % (3858376)Instructions burned: 59 (million)
% 12.40/2.94 % (3858363)------------------------------
% 12.40/2.94 % (3858363)------------------------------
% 12.40/2.94 % (3858375)Refutation not found, incomplete strategy
% 12.40/2.94 % (3858375)------------------------------
% 12.40/2.94 % (3858375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.40/2.94 % (3858375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.40/2.94 % (3858375)CaDiCaL version: 2.1.3
% 12.40/2.94 % (3858375)Termination reason: Refutation not found, incomplete strategy
% 12.40/2.94 % (3858375)Time elapsed: 0.060 s
% 12.40/2.94 % (3858375)Peak memory usage: 97 MB
% 12.40/2.94 % (3858375)Instructions burned: 128 (million)
% 12.40/2.94 % (3858378)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=2275560299:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 12.40/2.94 % (3858378)Instruction limit reached!
% 12.40/2.94 % (3858378)------------------------------
% 12.40/2.94 % (3858378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.40/2.94 % (3858378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.40/2.94 % (3858378)CaDiCaL version: 2.1.3
% 12.40/2.94 % (3858378)Termination reason: Instruction limit
% 12.40/2.94 % (3858378)Termination phase: Preprocessing 3
% 12.40/2.94 % (3858378)Time elapsed: 0.071 s
% 12.40/2.94 % (3858378)Peak memory usage: 98 MB
% 12.40/2.94 % (3858378)Instructions burned: 252 (million)
% 12.40/2.94 % (3858381)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=638860032:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 12.40/2.94 % (3858383)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3028781312:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 12.40/2.94 % (3858381)Refutation not found, incomplete strategy
% 12.40/2.94 % (3858381)------------------------------
% 12.40/2.94 % (3858381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.40/2.94 % (3858381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.40/2.94 % (3858381)CaDiCaL version: 2.1.3
% 12.40/2.94 % (3858381)Termination reason: Refutation not found, incomplete strategy
% 12.40/2.94 % (3858381)Time elapsed: 0.063 s
% 12.40/2.94 % (3858381)Peak memory usage: 98 MB
% 12.40/2.94 % (3858381)Instructions burned: 119 (million)
% 12.40/2.94 % (3858376)------------------------------
% 12.40/2.94 % (3858376)------------------------------
% 12.40/2.94 % (3858375)------------------------------
% 12.40/2.94 % (3858375)------------------------------
% 12.40/2.94 % (3858386)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=633340245:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 12.40/2.94 % (3858387)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1266931819:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 12.40/2.94 % (3858386)Instruction limit reached!
% 12.40/2.94 % (3858386)------------------------------
% 12.40/2.94 % (3858386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.40/2.94 % (3858386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.40/2.94 % (3858386)CaDiCaL version: 2.1.3
% 12.40/2.94 % (3858386)Termination reason: Instruction limit
% 12.40/2.94 % (3858386)Termination phase: Saturation
% 12.40/2.94 % (3858386)Time elapsed: 0.064 s
% 12.40/2.94 % (3858386)Peak memory usage: 98 MB
% 12.40/2.94 % (3858386)Instructions burned: 115 (million)
% 12.40/2.94 % (3858362)Refutation not found, incomplete strategy
% 12.40/2.94 % (3858362)------------------------------
% 12.40/2.94 % (3858362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/3.93 % (3858362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/3.93 % (3858362)CaDiCaL version: 2.1.3
% 19.38/3.93 % (3858362)Termination reason: Refutation not found, incomplete strategy
% 19.38/3.93 % (3858362)Time elapsed: 0.768 s
% 19.38/3.93 % (3858362)Peak memory usage: 151 MB
% 19.38/3.93 % (3858362)Instructions burned: 1170 (million)
% 19.38/3.93 % (3858381)------------------------------
% 19.38/3.93 % (3858381)------------------------------
% 19.38/3.93 % (3858387)Instruction limit reached!
% 19.38/3.93 % (3858387)------------------------------
% 19.38/3.93 % (3858387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/3.93 % (3858387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/3.93 % (3858387)CaDiCaL version: 2.1.3
% 19.38/3.93 % (3858387)Termination reason: Instruction limit
% 19.38/3.93 % (3858387)Termination phase: Property scanning
% 19.38/3.93 % (3858387)Time elapsed: 0.079 s
% 19.38/3.93 % (3858387)Peak memory usage: 100 MB
% 19.38/3.93 % (3858387)Instructions burned: 129 (million)
% 19.38/3.93 % (3858390)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2772294850:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 19.38/3.93 % (3858391)lrs+10_1_sil=8000:sp=occurrence:random_seed=2941427745:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 19.38/3.93 % (3858392)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=984132776:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 19.38/3.93 % (3858390)Instruction limit reached!
% 19.38/3.93 % (3858390)------------------------------
% 19.38/3.93 % (3858390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/3.93 % (3858390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/3.93 % (3858390)CaDiCaL version: 2.1.3
% 19.38/3.93 % (3858390)Termination reason: Instruction limit
% 19.38/3.93 % (3858390)Termination phase: Property scanning
% 19.38/3.93 % (3858390)Time elapsed: 0.050 s
% 19.38/3.93 % (3858390)Peak memory usage: 93 MB
% 19.38/3.93 % (3858390)Instructions burned: 115 (million)
% 19.38/3.93 % (3858392)Refutation not found, incomplete strategy
% 19.38/3.93 % (3858392)------------------------------
% 19.38/3.93 % (3858392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/3.93 % (3858392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/3.93 % (3858392)CaDiCaL version: 2.1.3
% 19.38/3.93 % (3858392)Termination reason: Refutation not found, incomplete strategy
% 19.38/3.93 % (3858392)Time elapsed: 0.043 s
% 19.38/3.93 % (3858392)Peak memory usage: 98 MB
% 19.38/3.93 % (3858392)Instructions burned: 79 (million)
% 19.38/3.93 % (3858362)------------------------------
% 19.38/3.93 % (3858362)------------------------------
% 19.38/3.93 % (3858396)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3237484862:i=5202:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/5202Mi)
% 19.38/3.93 % (3858397)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=703611174:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 19.38/3.93 % (3858397)Instruction limit reached!
% 19.38/3.93 % (3858397)------------------------------
% 19.38/3.93 % (3858397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/3.93 % (3858397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/3.93 % (3858397)CaDiCaL version: 2.1.3
% 19.38/3.93 % (3858397)Termination reason: Instruction limit
% 19.38/3.93 % (3858397)Termination phase: Saturation
% 19.38/3.93 % (3858397)Time elapsed: 0.072 s
% 19.38/3.93 % (3858397)Peak memory usage: 98 MB
% 19.38/3.93 % (3858397)Instructions burned: 135 (million)
% 19.38/3.93 % (3858392)------------------------------
% 19.38/3.93 % (3858392)------------------------------
% 19.38/3.93 % (3858383)Instruction limit reached!
% 19.38/3.93 % (3858383)------------------------------
% 19.38/3.93 % (3858383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/3.93 % (3858383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/3.93 % (3858383)CaDiCaL version: 2.1.3
% 19.38/3.93 % (3858383)Termination reason: Instruction limit
% 19.38/3.93 % (3858383)Termination phase: Saturation
% 19.38/3.93 % (3858383)Time elapsed: 0.855 s
% 19.38/3.93 % (3858383)Peak memory usage: 222 MB
% 19.38/3.93 % (3858383)Instructions burned: 2352 (million)
% 19.38/3.93 % (3858391)Instruction limit reached!
% 19.38/3.93 % (3858391)------------------------------
% 19.38/3.93 % (3858391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/3.93 % (3858391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/3.93 % (3858391)CaDiCaL version: 2.1.3
% 19.38/3.93 % (3858391)Termination reason: Instruction limit
% 19.38/3.93 % (3858391)Termination phase: Saturation
% 19.38/3.93 % (3858391)Time elapsed: 0.479 s
% 19.38/3.93 % (3858391)Peak memory usage: 110 MB
% 19.38/3.93 % (3858391)Instructions burned: 907 (million)
% 19.38/3.93 % (3858401)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2448062039:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 19.38/3.93 % (3858400)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=567131321:st=8:i=592:sd=3:ep=RST:ss=axioms_2982 on theBenchmark for (2982ds/592Mi)
% 19.38/3.93 % (3858402)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=3383778680:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 19.38/3.93 % (3858402)Instruction limit reached!
% 19.38/3.93 % (3858402)------------------------------
% 19.38/3.93 % (3858402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/3.93 % (3858402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/3.93 % (3858402)CaDiCaL version: 2.1.3
% 19.38/3.93 % (3858402)Termination reason: Instruction limit
% 19.38/3.93 % (3858402)Termination phase: SInE selection
% 19.38/3.93 % (3858402)Time elapsed: 0.030 s
% 19.38/3.93 % (3858402)Peak memory usage: 94 MB
% 19.38/3.93 % (3858402)Instructions burned: 125 (million)
% 19.38/3.93 % (3858405)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=735740083:i=134:gtgl=5:slsql=off:gtg=exists_sym_2981 on theBenchmark for (2981ds/134Mi)
% 19.38/3.93 % (3858400)Refutation not found, incomplete strategy
% 19.38/3.93 % (3858400)------------------------------
% 19.38/3.93 % (3858400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/3.93 % (3858400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/3.93 % (3858400)CaDiCaL version: 2.1.3
% 19.38/3.93 % (3858400)Termination reason: Refutation not found, incomplete strategy
% 19.38/3.93 % (3858400)Time elapsed: 0.171 s
% 19.38/3.93 % (3858400)Peak memory usage: 103 MB
% 19.38/3.93 % (3858400)Instructions burned: 313 (million)
% 19.38/3.93 % (3858405)Instruction limit reached!
% 19.38/3.93 % (3858405)------------------------------
% 19.38/3.93 % (3858405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/3.93 % (3858405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/3.93 % (3858405)CaDiCaL version: 2.1.3
% 19.38/3.93 % (3858405)Termination reason: Instruction limit
% 19.38/3.93 % (3858405)Termination phase: Property scanning
% 19.38/3.93 % (3858405)Time elapsed: 0.059 s
% 19.38/3.93 % (3858405)Peak memory usage: 93 MB
% 19.38/3.93 % (3858405)Instructions burned: 136 (million)
% 19.38/3.93 % (3858407)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1307550951:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 19.38/3.93 % (3858407)Refutation not found, incomplete strategy
% 19.38/3.93 % (3858407)------------------------------
% 19.38/3.93 % (3858407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/3.93 % (3858407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/3.93 % (3858407)CaDiCaL version: 2.1.3
% 19.38/3.93 % (3858407)Termination reason: Refutation not found, incomplete strategy
% 19.38/3.93 % (3858407)Time elapsed: 0.018 s
% 19.38/3.93 % (3858407)Peak memory usage: 97 MB
% 19.38/3.93 % (3858407)Instructions burned: 61 (million)
% 19.38/3.93 % (3858409)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2880953145:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 19.38/3.93 % (3858407)------------------------------
% 19.38/3.93 % (3858407)------------------------------
% 19.38/3.93 % (3858409)Refutation not found, incomplete strategy
% 19.38/3.93 % (3858409)------------------------------
% 19.38/3.93 % (3858409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/3.93 % (3858409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/3.93 % (3858409)CaDiCaL version: 2.1.3
% 19.38/3.93 % (3858409)Termination reason: Refutation not found, incomplete strategy
% 19.38/3.93 % (3858409)Time elapsed: 0.032 s
% 19.38/3.93 % (3858409)Peak memory usage: 97 MB
% 19.38/3.93 % (3858409)Instructions burned: 58 (million)
% 19.38/3.93 % (3858400)------------------------------
% 19.38/3.93 % (3858400)------------------------------
% 19.38/3.93 % (3858412)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=2080214603:i=6060:aac=none:ins=25_2977 on theBenchmark for (2977ds/6060Mi)
% 19.38/3.93 % (3858413)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=3481810686:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2976 on theBenchmark for (2976ds/150Mi)
% 19.38/3.93 % (3858409)------------------------------
% 19.38/3.93 % (3858409)------------------------------
% 19.38/3.93 % (3858413)Instruction limit reached!
% 19.38/3.93 % (3858413)------------------------------
% 19.38/3.93 % (3858413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/3.93 % (3858413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/3.93 % (3858413)CaDiCaL version: 2.1.3
% 19.38/3.93 % (3858413)Termination reason: Instruction limit
% 19.38/3.93 % (3858413)Termination phase: Preprocessing 3
% 19.38/3.93 % (3858413)Time elapsed: 0.090 s
% 19.38/3.93 % (3858413)Peak memory usage: 97 MB
% 19.38/3.93 % (3858413)Instructions burned: 150 (million)
% 19.38/3.93 % (3858416)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3999126585:i=14155:bd=all_2974 on theBenchmark for (2974ds/14155Mi)
% 19.38/3.93 % (3858417)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2063846454:i=667:av=off:fsr=off_2974 on theBenchmark for (2974ds/667Mi)
% 19.38/3.93 % (3858401)First to succeed.
% 19.38/3.93 % (3858401)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3858355"
% 19.38/3.93 % (3858417)Instruction limit reached!
% 19.38/3.93 % (3858417)------------------------------
% 19.38/3.93 % (3858417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/3.93 % (3858417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/3.93 % (3858417)CaDiCaL version: 2.1.3
% 19.38/3.93 % (3858417)Termination reason: Instruction limit
% 19.38/3.93 % (3858417)Termination phase: Saturation
% 19.38/3.93 % (3858417)Time elapsed: 0.350 s
% 19.38/3.93 % (3858417)Peak memory usage: 110 MB
% 19.38/3.93 % (3858417)Instructions burned: 670 (million)
% 19.38/3.93 % (3858401)Refutation found. Thanks to Tanya!
% 19.38/3.93 % SZS status Theorem for theBenchmark
% 19.38/3.93 % SZS output start Proof for theBenchmark
% See solution above
% 22.02/4.12 % (3858401)------------------------------
% 22.02/4.12 % (3858401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.02/4.12 % (3858401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.02/4.12 % (3858401)CaDiCaL version: 2.1.3
% 22.02/4.12 % (3858401)Termination reason: Refutation
% 22.02/4.12 % (3858401)Time elapsed: 1.103 s
% 22.02/4.12 % (3858401)Peak memory usage: 167 MB
% 22.02/4.12 % (3858401)Instructions burned: 1811 (million)
% 22.02/4.12 % (3858401)------------------------------
% 22.02/4.12 % (3858401)------------------------------
% 22.02/4.12 % (3858355)Success in time 3.287 s
% 22.02/4.12 % Vampire exiting
%------------------------------------------------------------------------------