%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO053-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 09:51:22 AM UTC 2026
% Result : Unsatisfiable 6.81s 1.99s
% Output : Refutation 8.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 15
% Syntax : Number of formulae : 74 ( 20 unt; 3 def)
% Number of atoms : 180 ( 33 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 198 ( 92 ~; 103 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 148 ( 0 sgn 148 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_for_equidistance) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X4,X5)
| ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_for_equidistance) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_equidistance) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction1) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction2) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X1,X6,X3,X7)
| ~ equidistant(X1,X4,X3,X5)
| ~ equidistant(X0,X6,X2,X7)
| ~ equidistant(X0,X1,X2,X3)
| ~ between(X0,X1,X4)
| ~ between(X2,X3,X5)
| X0 = X1
| equidistant(X4,X6,X5,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outer_five_segment) ).
fof(f7,axiom,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_betweeness) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4] :
( between(X1,inner_pasch(X0,X1,X2,X4,X3),X3)
| ~ between(X3,X4,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_pasch1) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( between(X4,inner_pasch(X0,X1,X2,X4,X3),X0)
| ~ between(X3,X4,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_pasch2) ).
fof(f19,axiom,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f20,axiom,
equidistant(u,v,u,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_u_to_w) ).
fof(f21,negated_conjecture,
v != w,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_equals_w) ).
fof(f24,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X1,X0) ),
inference(resolution,[],[f2,f1]) ).
fof(f25,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f5,f3]) ).
fof(f27,plain,
! [X2,X3,X0,X1] :
( ~ between(X1,X3,X2)
| ~ between(X0,X1,X2)
| inner_pasch(X1,X3,X2,X1,X0) = X1 ),
inference(resolution,[],[f9,f7]) ).
fof(f28,plain,
! [X0] :
( ~ between(X0,u,w)
| u = inner_pasch(u,v,w,u,X0) ),
inference(resolution,[],[f27,f19]) ).
fof(f68,plain,
! [X2,X0] : equidistant(X0,X0,X2,X2),
inference(superposition,[],[f5,f25]) ).
fof(f70,plain,
! [X0,X1] : equidistant(X0,X1,X0,X1),
inference(resolution,[],[f24,f1]) ).
fof(f74,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X3,X4,X5,X4)
| ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X3,X0,X5,X0)
| ~ between(X3,X0,X1)
| ~ between(X5,X0,X2)
| X0 = X3
| equidistant(X1,X4,X2,X4) ),
inference(resolution,[],[f70,f6]) ).
fof(f84,plain,
! [X2,X3,X0,X1,X4] :
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X3,X0,X3,X0)
| ~ between(X3,X0,X1)
| ~ between(X3,X0,X2)
| X0 = X3
| equidistant(X1,X4,X2,X4) ),
inference(resolution,[],[f74,f70]) ).
fof(f85,plain,
! [X2,X3,X0,X1,X4] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X3,X0,X1)
| ~ between(X3,X0,X2)
| X0 = X3
| equidistant(X1,X4,X2,X4) ),
inference(forward_subsumption_resolution,[],[f84,f70]) ).
fof(f87,plain,
! [X0,X1] :
( ~ between(X0,u,v)
| ~ between(X0,u,w)
| u = X0
| equidistant(v,X1,w,X1) ),
inference(resolution,[],[f85,f20]) ).
fof(f90,plain,
! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,extension(X2,X1,X1,X3))
| ~ between(X0,X1,X3)
| X0 = X1
| equidistant(extension(X2,X1,X1,X3),X4,X3,X4) ),
inference(resolution,[],[f85,f5]) ).
fof(f94,definition,
( spl0_7
<=> ! [X1] : equidistant(v,X1,w,X1) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f95,plain,
( ! [X1] : equidistant(v,X1,w,X1)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f97,definition,
( spl0_8
<=> ! [X0] :
( ~ between(X0,u,v)
| u = X0
| ~ between(X0,u,w) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f98,plain,
( ! [X0] :
( ~ between(X0,u,w)
| u = X0
| ~ between(X0,u,v) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f99,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f87,f97,f94]) ).
fof(f100,plain,
( v = w
| ~ spl0_7 ),
inference(resolution,[],[f95,f3]) ).
fof(f106,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f100,f21]) ).
fof(f107,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f106]) ).
fof(f120,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X0,X1,X2)
| equidistant(X1,X2,X3,X3) ),
inference(resolution,[],[f68,f2]) ).
fof(f130,definition,
( spl0_9
<=> u = v ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f131,plain,
( u != v
| spl0_9 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f132,plain,
( u = v
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f150,plain,
! [X0,X1] : between(X1,X0,X0),
inference(superposition,[],[f4,f25]) ).
fof(f213,plain,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| inner_pasch(X1,X2,X2,X1,X0) = X1 ),
inference(resolution,[],[f150,f27]) ).
fof(f221,plain,
! [X2,X3,X0,X1] : inner_pasch(X0,extension(X1,X0,X2,X3),extension(X1,X0,X2,X3),X0,X1) = X0,
inference(resolution,[],[f213,f4]) ).
fof(f285,plain,
! [X2,X3,X0,X1] :
( between(extension(X1,X0,X2,X3),X0,X1)
| ~ between(X1,X0,extension(X1,X0,X2,X3))
| ~ between(X0,extension(X1,X0,X2,X3),extension(X1,X0,X2,X3)) ),
inference(superposition,[],[f8,f221]) ).
fof(f287,plain,
! [X2,X3,X0,X1] :
( between(extension(X1,X0,X2,X3),X0,X1)
| ~ between(X0,extension(X1,X0,X2,X3),extension(X1,X0,X2,X3)) ),
inference(forward_subsumption_resolution,[],[f285,f4]) ).
fof(f288,plain,
! [X2,X3,X0,X1] : between(extension(X1,X0,X2,X3),X0,X1),
inference(forward_subsumption_resolution,[],[f287,f150]) ).
fof(f294,plain,
( ! [X0,X1] :
( ~ between(extension(w,u,X0,X1),u,v)
| u = extension(w,u,X0,X1) )
| ~ spl0_8 ),
inference(resolution,[],[f288,f98]) ).
fof(f295,plain,
! [X0,X1] : u = inner_pasch(u,v,w,u,extension(w,u,X0,X1)),
inference(resolution,[],[f288,f28]) ).
fof(f303,plain,
! [X0,X1] :
( between(v,u,extension(w,u,X0,X1))
| ~ between(extension(w,u,X0,X1),u,w)
| ~ between(u,v,w) ),
inference(superposition,[],[f8,f295]) ).
fof(f305,plain,
! [X0,X1] :
( between(v,u,extension(w,u,X0,X1))
| ~ between(extension(w,u,X0,X1),u,w) ),
inference(forward_subsumption_resolution,[],[f303,f19]) ).
fof(f306,plain,
! [X0,X1] : between(v,u,extension(w,u,X0,X1)),
inference(forward_subsumption_resolution,[],[f305,f288]) ).
fof(f307,plain,
! [X0,X1] :
( ~ between(v,u,X0)
| u = v
| equidistant(extension(w,u,u,X0),X1,X0,X1) ),
inference(resolution,[],[f306,f90]) ).
fof(f315,plain,
( ! [X0,X1] :
( equidistant(extension(w,u,u,X0),X1,X0,X1)
| ~ between(v,u,X0) )
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f307,f131]) ).
fof(f340,plain,
( ! [X0] :
( ~ between(v,u,X0)
| extension(w,u,u,X0) = X0 )
| spl0_9 ),
inference(resolution,[],[f315,f3]) ).
fof(f350,plain,
( ! [X0,X1] : extension(v,u,X0,X1) = extension(w,u,u,extension(v,u,X0,X1))
| spl0_9 ),
inference(resolution,[],[f340,f4]) ).
fof(f356,plain,
( ! [X0,X1] :
( ~ between(extension(v,u,X0,X1),u,v)
| u = extension(v,u,X0,X1) )
| ~ spl0_8
| spl0_9 ),
inference(superposition,[],[f294,f350]) ).
fof(f372,plain,
( ! [X0,X1] : u = extension(v,u,X0,X1)
| ~ spl0_8
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f356,f288]) ).
fof(f378,plain,
( ! [X0,X1] : equidistant(u,u,X0,X1)
| ~ spl0_8
| spl0_9 ),
inference(superposition,[],[f5,f372]) ).
fof(f409,plain,
( ! [X2,X0,X1] : equidistant(X0,X1,X2,X2)
| ~ spl0_8
| spl0_9 ),
inference(resolution,[],[f378,f120]) ).
fof(f418,plain,
( ! [X0,X1] : X0 = X1
| ~ spl0_8
| spl0_9 ),
inference(resolution,[],[f409,f3]) ).
fof(f657,plain,
( ! [X0] : v != X0
| ~ spl0_8
| spl0_9 ),
inference(superposition,[],[f21,f418]) ).
fof(f683,plain,
( $false
| ~ spl0_8
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f657,f418]) ).
fof(f684,plain,
( ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f683]) ).
fof(f720,plain,
( ! [X0,X1] :
( ~ between(extension(w,u,X0,X1),u,u)
| u = extension(w,u,X0,X1) )
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f294,f132]) ).
fof(f725,plain,
( ! [X0,X1] : u = extension(w,u,X0,X1)
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f720,f150]) ).
fof(f803,plain,
( ! [X0,X1] : equidistant(u,u,X0,X1)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f5,f725]) ).
fof(f815,plain,
( ! [X2,X0,X1] : equidistant(X0,X1,X2,X2)
| ~ spl0_8
| ~ spl0_9 ),
inference(resolution,[],[f803,f120]) ).
fof(f826,plain,
( ! [X0,X1] : X0 = X1
| ~ spl0_8
| ~ spl0_9 ),
inference(resolution,[],[f815,f3]) ).
fof(f920,plain,
( ! [X0] : v != X0
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f21,f826]) ).
fof(f1061,plain,
( $false
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f920,f826]) ).
fof(f1062,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1061]) ).
cnf(s3,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f99]) ).
cnf(s4,plain,
~ spl0_7,
inference(sat_conversion,[],[f107]) ).
cnf(s8,plain,
( ~ spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f684]) ).
cnf(s13,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f1062]) ).
cnf(s14,plain,
spl0_8,
inference(rat,[],[s3,s4]) ).
cnf(s15,plain,
~ spl0_9,
inference(rat,[],[s13,s14]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s8,s15,s14]) ).
fof(f1063,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO053-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n015.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 06:48:15 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 6.81/1.99 % (1294368)Input is clausal, will run a generic CNF schedule.
% 6.81/1.99 % (1294377)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2275691836:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.81/1.99 % (1294377)Instruction limit reached!
% 6.81/1.99 % (1294377)------------------------------
% 6.81/1.99 % (1294377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.99 % (1294377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.99 % (1294377)CaDiCaL version: 2.1.3
% 6.81/1.99 % (1294377)Termination reason: Instruction limit
% 6.81/1.99 % (1294377)Termination phase: Saturation
% 6.81/1.99 % (1294377)Time elapsed: 0.037 s
% 6.81/1.99 % (1294377)Peak memory usage: 88 MB
% 6.81/1.99 % (1294377)Instructions burned: 114 (million)
% 6.81/1.99 % (1294379)dis-21_1_sil=8000:lcm=predicate:random_seed=25130469:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 6.81/1.99 % (1294374)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1434824123:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.81/1.99 % (1294375)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=256947855:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.81/1.99 % (1294373)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=2357809168:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.81/1.99 % (1294376)lrs+10_1_sil=8000:sp=occurrence:random_seed=987765293:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.81/1.99 % (1294378)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1147668154:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.81/1.99 % (1294376)Instruction limit reached!
% 6.81/1.99 % (1294376)------------------------------
% 6.81/1.99 % (1294376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.99 % (1294376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.99 % (1294376)CaDiCaL version: 2.1.3
% 6.81/1.99 % (1294376)Termination reason: Instruction limit
% 6.81/1.99 % (1294376)Termination phase: Saturation
% 6.81/1.99 % (1294376)Time elapsed: 0.068 s
% 6.81/1.99 % (1294376)Peak memory usage: 89 MB
% 6.81/1.99 % (1294376)Instructions burned: 109 (million)
% 6.81/1.99 % (1294379)Instruction limit reached!
% 6.81/1.99 % (1294379)------------------------------
% 6.81/1.99 % (1294379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.99 % (1294379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.99 % (1294379)CaDiCaL version: 2.1.3
% 6.81/1.99 % (1294379)Termination reason: Instruction limit
% 6.81/1.99 % (1294379)Termination phase: Saturation
% 6.81/1.99 % (1294379)Time elapsed: 0.072 s
% 6.81/1.99 % (1294379)Peak memory usage: 88 MB
% 6.81/1.99 % (1294379)Instructions burned: 118 (million)
% 6.81/1.99 % (1294378)Instruction limit reached!
% 6.81/1.99 % (1294378)------------------------------
% 6.81/1.99 % (1294378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.99 % (1294378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.99 % (1294378)CaDiCaL version: 2.1.3
% 6.81/1.99 % (1294378)Termination reason: Instruction limit
% 6.81/1.99 % (1294378)Termination phase: Saturation
% 6.81/1.99 % (1294378)Time elapsed: 0.109 s
% 6.81/1.99 % (1294378)Peak memory usage: 89 MB
% 6.81/1.99 % (1294378)Instructions burned: 181 (million)
% 6.81/1.99 % (1294387)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3617152454:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.81/1.99 % (1294387)Instruction limit reached!
% 6.81/1.99 % (1294387)------------------------------
% 6.81/1.99 % (1294387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.99 % (1294387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.99 % (1294387)CaDiCaL version: 2.1.3
% 6.81/1.99 % (1294387)Termination reason: Instruction limit
% 6.81/1.99 % (1294387)Termination phase: Saturation
% 6.81/1.99 % (1294387)Time elapsed: 0.050 s
% 6.81/1.99 % (1294387)Peak memory usage: 89 MB
% 6.81/1.99 % (1294387)Instructions burned: 147 (million)
% 6.81/1.99 % (1294388)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=193600021:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 6.81/1.99 % (1294389)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1768283536:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.81/1.99 % (1294391)lrs+10_64_to=lpo:sil=8000:random_seed=3095343436:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.81/1.99 % (1294392)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2421482738:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 6.81/1.99 % (1294388)Instruction limit reached!
% 6.81/1.99 % (1294388)------------------------------
% 6.81/1.99 % (1294388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.99 % (1294388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.99 % (1294388)CaDiCaL version: 2.1.3
% 6.81/1.99 % (1294388)Termination reason: Instruction limit
% 6.81/1.99 % (1294388)Termination phase: Saturation
% 6.81/1.99 % (1294388)Time elapsed: 0.105 s
% 6.81/1.99 % (1294388)Peak memory usage: 88 MB
% 6.81/1.99 % (1294388)Instructions burned: 189 (million)
% 6.81/1.99 % (1294391)Instruction limit reached!
% 6.81/1.99 % (1294391)------------------------------
% 6.81/1.99 % (1294391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.99 % (1294391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.99 % (1294391)CaDiCaL version: 2.1.3
% 6.81/1.99 % (1294391)Termination reason: Instruction limit
% 6.81/1.99 % (1294391)Termination phase: Saturation
% 6.81/1.99 % (1294391)Time elapsed: 0.079 s
% 6.81/1.99 % (1294391)Peak memory usage: 88 MB
% 6.81/1.99 % (1294391)Instructions burned: 126 (million)
% 6.81/1.99 % (1294389)Instruction limit reached!
% 6.81/1.99 % (1294389)------------------------------
% 6.81/1.99 % (1294389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.99 % (1294389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.99 % (1294389)CaDiCaL version: 2.1.3
% 6.81/1.99 % (1294389)Termination reason: Instruction limit
% 6.81/1.99 % (1294389)Termination phase: Saturation
% 6.81/1.99 % (1294389)Time elapsed: 0.120 s
% 6.81/1.99 % (1294389)Peak memory usage: 88 MB
% 6.81/1.99 % (1294389)Instructions burned: 220 (million)
% 6.81/1.99 % (1294392)Instruction limit reached!
% 6.81/1.99 % (1294392)------------------------------
% 6.81/1.99 % (1294392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.99 % (1294392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.99 % (1294392)CaDiCaL version: 2.1.3
% 6.81/1.99 % (1294392)Termination reason: Instruction limit
% 6.81/1.99 % (1294392)Termination phase: Saturation
% 6.81/1.99 % (1294392)Time elapsed: 0.074 s
% 6.81/1.99 % (1294392)Peak memory usage: 90 MB
% 6.81/1.99 % (1294392)Instructions burned: 194 (million)
% 6.81/1.99 % (1294397)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3427270552:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.81/1.99 % (1294400)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4059884815:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 6.81/1.99 % (1294398)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1495261952:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 6.81/1.99 % (1294399)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2264797674:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 6.81/1.99 % (1294400)Instruction limit reached!
% 6.81/1.99 % (1294400)------------------------------
% 6.81/1.99 % (1294400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.99 % (1294400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.99 % (1294400)CaDiCaL version: 2.1.3
% 6.81/1.99 % (1294400)Termination reason: Instruction limit
% 6.81/1.99 % (1294400)Termination phase: Saturation
% 6.81/1.99 % (1294400)Time elapsed: 0.040 s
% 6.81/1.99 % (1294400)Peak memory usage: 89 MB
% 6.81/1.99 % (1294400)Instructions burned: 109 (million)
% 6.81/1.99 % (1294399)Instruction limit reached!
% 6.81/1.99 % (1294399)------------------------------
% 6.81/1.99 % (1294399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.99 % (1294399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.99 % (1294399)CaDiCaL version: 2.1.3
% 6.81/1.99 % (1294399)Termination reason: Instruction limit
% 6.81/1.99 % (1294399)Termination phase: Saturation
% 6.81/1.99 % (1294399)Time elapsed: 0.059 s
% 6.81/1.99 % (1294399)Peak memory usage: 88 MB
% 6.81/1.99 % (1294399)Instructions burned: 106 (million)
% 6.81/1.99 % (1294397)Instruction limit reached!
% 6.81/1.99 % (1294397)------------------------------
% 6.81/1.99 % (1294397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.99 % (1294397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.99 % (1294397)CaDiCaL version: 2.1.3
% 6.81/1.99 % (1294397)Termination reason: Instruction limit
% 6.81/1.99 % (1294397)Termination phase: Saturation
% 6.81/1.99 % (1294397)Time elapsed: 0.108 s
% 6.81/1.99 % (1294397)Peak memory usage: 90 MB
% 6.81/1.99 % (1294397)Instructions burned: 158 (million)
% 6.81/1.99 % (1294405)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=105133797:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 6.81/1.99 % (1294373)First to succeed.
% 6.81/1.99 % (1294406)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1479671855:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 6.81/1.99 % (1294373)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1294368"
% 6.81/1.99 % (1294407)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3297851860:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 6.81/1.99 % (1294405)Instruction limit reached!
% 6.81/1.99 % (1294405)------------------------------
% 6.81/1.99 % (1294405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.99 % (1294405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.99 % (1294405)CaDiCaL version: 2.1.3
% 6.81/1.99 % (1294405)Termination reason: Instruction limit
% 6.81/1.99 % (1294405)Termination phase: Saturation
% 6.81/1.99 % (1294405)Time elapsed: 0.154 s
% 6.81/1.99 % (1294405)Peak memory usage: 90 MB
% 6.81/1.99 % (1294405)Instructions burned: 243 (million)
% 6.81/1.99 % (1294407)Instruction limit reached!
% 6.81/1.99 % (1294407)------------------------------
% 6.81/1.99 % (1294407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.99 % (1294407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.99 % (1294407)CaDiCaL version: 2.1.3
% 6.81/1.99 % (1294407)Termination reason: Instruction limit
% 6.81/1.99 % (1294407)Termination phase: Saturation
% 6.81/1.99 % (1294407)Time elapsed: 0.096 s
% 6.81/1.99 % (1294407)Peak memory usage: 89 MB
% 6.81/1.99 % (1294407)Instructions burned: 135 (million)
% 6.81/1.99 % (1294373)Refutation found. Thanks to Tanya!
% 6.81/1.99 % SZS status Unsatisfiable for theBenchmark
% 6.81/1.99 % SZS output start Proof for theBenchmark
% See solution above
% 8.49/2.18 % (1294373)------------------------------
% 8.49/2.18 % (1294373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.18 % (1294373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.18 % (1294373)CaDiCaL version: 2.1.3
% 8.49/2.18 % (1294373)Termination reason: Refutation
% 8.49/2.18 % (1294373)Time elapsed: 0.695 s
% 8.49/2.18 % (1294373)Peak memory usage: 128 MB
% 8.49/2.18 % (1294373)Instructions burned: 1029 (million)
% 8.49/2.18 % (1294373)------------------------------
% 8.49/2.18 % (1294373)------------------------------
% 8.49/2.18 % (1294368)Success in time 1.117 s
% 8.49/2.18 % Vampire exiting
%------------------------------------------------------------------------------