%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO045-2 : 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 : n006.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 09:51:20 AM UTC 2026
% Result : Unsatisfiable 6.07s 2.00s
% Output : Refutation 6.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 43 ( 19 unt; 0 def)
% Number of atoms : 95 ( 19 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 100 ( 48 ~; 52 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-5 aty)
% Number of variables : 115 ( 115 !; 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,
between(v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_between_v_and_x) ).
fof(f21,axiom,
v != w,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_not_w) ).
fof(f22,negated_conjecture,
~ between(u,v,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_between_u_and_x) ).
fof(f23,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f5,f3]) ).
fof(f25,plain,
! [X0,X1] : between(X1,X0,X0),
inference(superposition,[],[f4,f23]) ).
fof(f28,plain,
! [X2,X3,X0,X1] :
( ~ between(X1,X0,X2)
| ~ between(X0,X3,X2)
| inner_pasch(X1,X0,X2,X3,X0) = X0 ),
inference(resolution,[],[f7,f8]) ).
fof(f40,plain,
! [X0] :
( ~ between(v,X0,w)
| v = inner_pasch(u,v,w,X0,v) ),
inference(resolution,[],[f28,f19]) ).
fof(f41,plain,
! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,extension(X2,X0,X3,X4))
| inner_pasch(X2,X0,extension(X2,X0,X3,X4),X1,X0) = X0 ),
inference(resolution,[],[f28,f4]) ).
fof(f45,plain,
v = inner_pasch(u,v,w,w,v),
inference(resolution,[],[f40,f25]) ).
fof(f48,plain,
( between(w,v,u)
| ~ between(v,w,w)
| ~ between(u,v,w) ),
inference(superposition,[],[f9,f45]) ).
fof(f50,plain,
( between(w,v,u)
| ~ between(u,v,w) ),
inference(forward_subsumption_resolution,[],[f48,f25]) ).
fof(f51,plain,
between(w,v,u),
inference(forward_subsumption_resolution,[],[f50,f19]) ).
fof(f73,plain,
! [X2,X3,X0,X1] : inner_pasch(X0,X1,extension(X0,X1,X2,X3),extension(X0,X1,X2,X3),X1) = X1,
inference(resolution,[],[f41,f25]) ).
fof(f83,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))
| ~ between(X1,X0,extension(X1,X0,X2,X3)) ),
inference(superposition,[],[f9,f73]) ).
fof(f85,plain,
! [X2,X3,X0,X1] :
( between(extension(X1,X0,X2,X3),X0,X1)
| ~ between(X1,X0,extension(X1,X0,X2,X3)) ),
inference(forward_subsumption_resolution,[],[f83,f25]) ).
fof(f86,plain,
! [X2,X3,X0,X1] : between(extension(X1,X0,X2,X3),X0,X1),
inference(forward_subsumption_resolution,[],[f85,f4]) ).
fof(f87,plain,
! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,X2)
| inner_pasch(extension(X2,X0,X3,X4),X0,X2,X1,X0) = X0 ),
inference(resolution,[],[f86,f28]) ).
fof(f117,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X1,X0) ),
inference(resolution,[],[f2,f1]) ).
fof(f120,plain,
! [X0,X1] : equidistant(X0,X1,X0,X1),
inference(resolution,[],[f117,f1]) ).
fof(f158,plain,
! [X0,X1] : v = inner_pasch(extension(x,v,X0,X1),v,x,w,v),
inference(resolution,[],[f87,f20]) ).
fof(f162,plain,
! [X0,X1] :
( between(w,v,extension(x,v,X0,X1))
| ~ between(v,w,x)
| ~ between(extension(x,v,X0,X1),v,x) ),
inference(superposition,[],[f9,f158]) ).
fof(f164,plain,
! [X0,X1] :
( between(w,v,extension(x,v,X0,X1))
| ~ between(extension(x,v,X0,X1),v,x) ),
inference(forward_subsumption_resolution,[],[f162,f20]) ).
fof(f165,plain,
! [X0,X1] : between(w,v,extension(x,v,X0,X1)),
inference(forward_subsumption_resolution,[],[f164,f86]) ).
fof(f221,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,[],[f6,f120]) ).
fof(f229,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,[],[f221,f120]) ).
fof(f237,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,[],[f229,f120]) ).
fof(f238,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,[],[f237,f5]) ).
fof(f250,plain,
! [X0,X1] :
( ~ between(w,v,X0)
| v = w
| equidistant(extension(x,v,v,X0),X1,X0,X1) ),
inference(resolution,[],[f238,f165]) ).
fof(f253,plain,
! [X0,X1] :
( equidistant(extension(x,v,v,X0),X1,X0,X1)
| ~ between(w,v,X0) ),
inference(forward_subsumption_resolution,[],[f250,f21]) ).
fof(f434,plain,
! [X0] :
( ~ between(w,v,X0)
| extension(x,v,v,X0) = X0 ),
inference(resolution,[],[f253,f3]) ).
fof(f444,plain,
u = extension(x,v,v,u),
inference(resolution,[],[f434,f51]) ).
fof(f459,plain,
between(u,v,x),
inference(superposition,[],[f86,f444]) ).
fof(f470,plain,
$false,
inference(forward_subsumption_resolution,[],[f459,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO045-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.34 % Computer : n006.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sun Sep 27 06:41:26 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.34 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 Running first-order theorem proving
% 0.12/0.38 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
% 6.07/1.91 % (2638348)Input is clausal, will run a generic CNF schedule.
% 6.07/1.91 % (2638355)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2723844130:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.07/1.91 % (2638358)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4019908571:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.07/1.91 % (2638357)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3723129090:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.07/1.91 % (2638356)lrs+10_1_sil=8000:sp=occurrence:random_seed=3888424780:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.07/1.91 % (2638354)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1837194766:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.07/1.91 % (2638353)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=2461062955:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.07/1.91 % (2638359)dis-21_1_sil=8000:lcm=predicate:random_seed=3548882554: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)
% 6.07/1.91 % (2638357)Instruction limit reached!
% 6.07/1.91 % (2638357)------------------------------
% 6.07/1.91 % (2638357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.91 % (2638357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.91 % (2638357)CaDiCaL version: 2.1.3
% 6.07/1.91 % (2638357)Termination reason: Instruction limit
% 6.07/1.91 % (2638357)Termination phase: Saturation
% 6.07/1.91 % (2638357)Time elapsed: 0.062 s
% 6.07/1.91 % (2638357)Peak memory usage: 88 MB
% 6.07/1.91 % (2638357)Instructions burned: 114 (million)
% 6.07/1.91 % (2638356)Instruction limit reached!
% 6.07/1.91 % (2638356)------------------------------
% 6.07/1.91 % (2638356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.91 % (2638356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.91 % (2638356)CaDiCaL version: 2.1.3
% 6.07/1.91 % (2638356)Termination reason: Instruction limit
% 6.07/1.91 % (2638356)Termination phase: Saturation
% 6.07/1.91 % (2638356)Time elapsed: 0.068 s
% 6.07/1.91 % (2638356)Peak memory usage: 88 MB
% 6.07/1.91 % (2638356)Instructions burned: 108 (million)
% 6.07/1.91 % (2638359)Instruction limit reached!
% 6.07/1.91 % (2638359)------------------------------
% 6.07/1.91 % (2638359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.91 % (2638359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.91 % (2638359)CaDiCaL version: 2.1.3
% 6.07/1.91 % (2638359)Termination reason: Instruction limit
% 6.07/1.91 % (2638359)Termination phase: Saturation
% 6.07/1.91 % (2638359)Time elapsed: 0.070 s
% 6.07/1.91 % (2638359)Peak memory usage: 88 MB
% 6.07/1.91 % (2638359)Instructions burned: 118 (million)
% 6.07/1.91 % (2638358)Instruction limit reached!
% 6.07/1.91 % (2638358)------------------------------
% 6.07/1.91 % (2638358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.91 % (2638358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.91 % (2638358)CaDiCaL version: 2.1.3
% 6.07/1.91 % (2638358)Termination reason: Instruction limit
% 6.07/1.91 % (2638358)Termination phase: Saturation
% 6.07/1.91 % (2638358)Time elapsed: 0.129 s
% 6.07/1.91 % (2638358)Peak memory usage: 89 MB
% 6.07/1.91 % (2638358)Instructions burned: 181 (million)
% 6.07/1.91 % (2638368)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=128826587: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)
% 6.07/1.91 % (2638367)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=3672584995:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.07/1.91 % (2638367)Refutation not found, incomplete strategy
% 6.07/1.91 % (2638367)------------------------------
% 6.07/1.91 % (2638367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.91 % (2638367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.91 % (2638367)CaDiCaL version: 2.1.3
% 6.07/1.91 % (2638367)Termination reason: Refutation not found, incomplete strategy
% 6.07/1.91 % (2638367)Time elapsed: 0.001 s
% 6.07/1.91 % (2638367)Peak memory usage: 87 MB
% 6.07/1.91 % (2638367)Instructions burned: 1 (million)
% 6.07/1.91 % (2638369)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3962692952:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.07/1.91 % (2638369)Refutation not found, incomplete strategy
% 6.07/1.91 % (2638369)------------------------------
% 6.07/1.91 % (2638369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.91 % (2638369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.91 % (2638369)CaDiCaL version: 2.1.3
% 6.07/1.91 % (2638369)Termination reason: Refutation not found, incomplete strategy
% 6.07/1.91 % (2638369)Time elapsed: 0.001 s
% 6.07/1.91 % (2638369)Peak memory usage: 87 MB
% 6.07/1.91 % (2638370)lrs+10_64_to=lpo:sil=8000:random_seed=3649062549:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.07/1.91 % (2638368)Instruction limit reached!
% 6.07/1.91 % (2638368)------------------------------
% 6.07/1.91 % (2638368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.91 % (2638368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.91 % (2638368)CaDiCaL version: 2.1.3
% 6.07/1.91 % (2638368)Termination reason: Instruction limit
% 6.07/1.91 % (2638368)Termination phase: Saturation
% 6.07/1.91 % (2638368)Time elapsed: 0.106 s
% 6.07/1.91 % (2638368)Peak memory usage: 89 MB
% 6.07/1.91 % (2638368)Instructions burned: 190 (million)
% 6.07/1.91 % (2638370)Instruction limit reached!
% 6.07/1.91 % (2638370)------------------------------
% 6.07/1.91 % (2638370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.91 % (2638370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.91 % (2638370)CaDiCaL version: 2.1.3
% 6.07/1.91 % (2638370)Termination reason: Instruction limit
% 6.07/1.91 % (2638370)Termination phase: Saturation
% 6.07/1.91 % (2638370)Time elapsed: 0.079 s
% 6.07/1.91 % (2638370)Peak memory usage: 89 MB
% 6.07/1.91 % (2638370)Instructions burned: 126 (million)
% 6.07/1.91 % (2638375)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2892876414:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.07/1.91 % (2638367)------------------------------
% 6.07/1.91 % (2638367)------------------------------
% 6.07/1.91 % (2638369)------------------------------
% 6.07/1.91 % (2638369)------------------------------
% 6.07/1.91 % (2638376)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=91759036:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.07/1.91 % (2638375)Instruction limit reached!
% 6.07/1.91 % (2638375)------------------------------
% 6.07/1.91 % (2638375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.91 % (2638375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.91 % (2638375)CaDiCaL version: 2.1.3
% 6.07/1.91 % (2638375)Termination reason: Instruction limit
% 6.07/1.91 % (2638375)Termination phase: Saturation
% 6.07/1.91 % (2638375)Time elapsed: 0.120 s
% 6.07/1.91 % (2638375)Peak memory usage: 89 MB
% 6.07/1.91 % (2638375)Instructions burned: 194 (million)
% 6.07/1.91 % (2638378)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3032280771:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 6.07/1.91 % (2638376)Instruction limit reached!
% 6.07/1.91 % (2638376)------------------------------
% 6.07/1.91 % (2638376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.91 % (2638376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.91 % (2638376)CaDiCaL version: 2.1.3
% 6.07/1.91 % (2638376)Termination reason: Instruction limit
% 6.07/1.91 % (2638376)Termination phase: Saturation
% 6.07/1.91 % (2638376)Time elapsed: 0.104 s
% 6.07/1.91 % (2638376)Peak memory usage: 90 MB
% 6.07/1.91 % (2638376)Instructions burned: 158 (million)
% 6.07/1.91 % (2638380)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=3421604873:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 6.07/1.91 % (2638380)Instruction limit reached!
% 6.07/1.91 % (2638380)------------------------------
% 6.07/1.91 % (2638380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.91 % (2638380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/2.00 % (2638380)CaDiCaL version: 2.1.3
% 6.07/2.00 % (2638380)Termination reason: Instruction limit
% 6.07/2.00 % (2638380)Termination phase: Saturation
% 6.07/2.00 % (2638380)Time elapsed: 0.061 s
% 6.07/2.00 % (2638380)Peak memory usage: 88 MB
% 6.07/2.00 % (2638380)Instructions burned: 107 (million)
% 6.07/2.00 % (2638381)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=886843990:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 6.07/2.00 % (2638381)Refutation not found, incomplete strategy
% 6.07/2.00 % (2638381)------------------------------
% 6.07/2.00 % (2638381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/2.00 % (2638381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/2.00 % (2638381)CaDiCaL version: 2.1.3
% 6.07/2.00 % (2638381)Termination reason: Refutation not found, incomplete strategy
% 6.07/2.00 % (2638381)Time elapsed: 0.001 s
% 6.07/2.00 % (2638381)Peak memory usage: 87 MB
% 6.07/2.00 % (2638353)First to succeed.
% 6.07/2.00 % (2638383)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1932112678:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 6.07/2.00 % (2638353)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2638348"
% 6.07/2.00 % (2638385)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2987306253:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 6.07/2.00 % (2638383)Instruction limit reached!
% 6.07/2.00 % (2638383)------------------------------
% 6.07/2.00 % (2638383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/2.00 % (2638383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/2.00 % (2638383)CaDiCaL version: 2.1.3
% 6.07/2.00 % (2638383)Termination reason: Instruction limit
% 6.07/2.00 % (2638383)Termination phase: Saturation
% 6.07/2.00 % (2638383)Time elapsed: 0.146 s
% 6.07/2.00 % (2638383)Peak memory usage: 89 MB
% 6.07/2.00 % (2638383)Instructions burned: 243 (million)
% 6.07/2.00 % (2638381)------------------------------
% 6.07/2.00 % (2638381)------------------------------
% 6.07/2.00 % (2638353)Refutation found. Thanks to Tanya!
% 6.07/2.00 % SZS status Unsatisfiable for theBenchmark
% 6.07/2.00 % SZS output start Proof for theBenchmark
% See solution above
% 6.07/2.00 % (2638353)------------------------------
% 6.07/2.00 % (2638353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/2.00 % (2638353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/2.00 % (2638353)CaDiCaL version: 2.1.3
% 6.07/2.00 % (2638353)Termination reason: Refutation
% 6.07/2.00 % (2638353)Time elapsed: 0.689 s
% 6.07/2.00 % (2638353)Peak memory usage: 129 MB
% 6.07/2.00 % (2638353)Instructions burned: 1024 (million)
% 6.07/2.00 % (2638353)------------------------------
% 6.07/2.00 % (2638353)------------------------------
% 6.07/2.00 % (2638348)Success in time 1.093 s
% 6.07/2.00 % Vampire exiting
%------------------------------------------------------------------------------