%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO031-3 : 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 : n017.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 09:51:16 AM UTC 2026
% Result : Unsatisfiable 10.22s 2.35s
% Output : Refutation 11.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 27
% Syntax : Number of formulae : 99 ( 29 unt; 4 def)
% Number of atoms : 222 ( 34 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 227 ( 104 ~; 119 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-5 aty)
% Number of variables : 154 ( 0 sgn 154 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(f22,axiom,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X1,X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3) ).
fof(f23,axiom,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_1) ).
fof(f24,axiom,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X1,X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_2) ).
fof(f25,axiom,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_3) ).
fof(f28,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X2,X3,X4,X5)
| ~ equidistant(X0,X1,X2,X3)
| equidistant(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5) ).
fof(f31,axiom,
! [X2,X3,X0,X1,X4] :
( X0 != extension(X1,X2,X3,X4)
| between(X1,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b0) ).
fof(f32,plain,
! [X2,X3,X0,X1,X4] :
( extension(X1,X2,X3,X4) != X0
| between(X1,X2,X0) ),
inference(reorient_equations,[],[f31]) ).
fof(f53,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
fof(f54,axiom,
! [X0,X1] : between(X0,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2) ).
fof(f56,axiom,
! [X2,X0,X1] :
( ~ between(X0,X2,X1)
| ~ between(X0,X1,X2)
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b3) ).
fof(f74,axiom,
equidistant(u,v,u1,v1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_u1_to_v1) ).
fof(f75,axiom,
equidistant(u,w,u1,w1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_w_equals_u1_to_w1) ).
fof(f76,axiom,
equidistant(u,x,u1,x1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_x_equals_u1_to_x1) ).
fof(f77,axiom,
equidistant(w,x,w1,x1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_to_x_equals_w1_to_x1) ).
fof(f78,axiom,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f79,axiom,
between(u1,v1,w1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v1_between_u1_and_w1) ).
fof(f80,negated_conjecture,
~ equidistant(v,x,v1,x1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_to_x_equals_v1_to_x1) ).
fof(f88,plain,
! [X2,X3,X1,X4] : between(X1,X2,extension(X1,X2,X3,X4)),
inference(equality_resolution,[],[f32]) ).
fof(f93,plain,
between(w,v,u),
inference(resolution,[],[f53,f78]) ).
fof(f182,plain,
equidistant(w,u,u1,w1),
inference(resolution,[],[f22,f75]) ).
fof(f198,plain,
equidistant(w,u,w1,u1),
inference(resolution,[],[f23,f182]) ).
fof(f218,plain,
equidistant(u1,v1,v,u),
inference(resolution,[],[f25,f74]) ).
fof(f535,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(u,X0,u1,X1)
| ~ equidistant(X2,x,X3,x1)
| ~ equidistant(X2,u,X3,u1)
| ~ between(X2,u,X0)
| ~ between(X3,u1,X1)
| u = X2
| equidistant(X0,x,X1,x1) ),
inference(resolution,[],[f6,f76]) ).
fof(f558,plain,
! [X0,X1] :
( ~ equidistant(X0,x,X1,x1)
| ~ equidistant(X0,u,X1,u1)
| ~ between(X0,u,v)
| ~ between(X1,u1,v1)
| u = X0
| equidistant(v,x,v1,x1) ),
inference(resolution,[],[f535,f74]) ).
fof(f567,plain,
! [X0,X1] :
( ~ equidistant(X0,x,X1,x1)
| ~ equidistant(X0,u,X1,u1)
| ~ between(X0,u,v)
| ~ between(X1,u1,v1)
| u = X0 ),
inference(forward_subsumption_resolution,[],[f558,f80]) ).
fof(f592,definition,
( spl0_53
<=> u = w ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
fof(f593,plain,
( u != w
| spl0_53 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f594,plain,
( u = w
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f600,definition,
( spl0_55
<=> between(w,u,v) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
fof(f602,plain,
( ~ between(w,u,v)
| spl0_55 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f782,definition,
( spl0_87
<=> u = v ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f783,plain,
( u != v
| spl0_87 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f784,plain,
( u = v
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f1021,plain,
! [X2,X3,X0,X1] : equidistant(extension(X0,X1,X2,X3),X1,X3,X2),
inference(resolution,[],[f5,f24]) ).
fof(f1025,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,extension(X3,X2,X4,X5))
| equidistant(X0,X1,X4,X5) ),
inference(resolution,[],[f5,f28]) ).
fof(f1031,plain,
! [X2,X3,X0,X1] :
( ~ between(X0,u,extension(X2,u,u1,X3))
| ~ equidistant(X0,u,X1,u1)
| ~ equidistant(X0,x,X1,x1)
| ~ between(X1,u1,X3)
| u = X0
| equidistant(extension(X2,u,u1,X3),x,X3,x1) ),
inference(resolution,[],[f5,f535]) ).
fof(f1108,plain,
! [X2,X3,X0,X1] : between(extension(X0,X1,X2,X3),X1,X0),
inference(resolution,[],[f88,f53]) ).
fof(f1265,definition,
( spl0_119
<=> u1 = v1 ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
fof(f1266,plain,
( u1 != v1
| spl0_119 ),
inference(avatar_component_clause,[],[f1265]) ).
fof(f1267,plain,
( u1 = v1
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f1265]) ).
fof(f1411,plain,
( ~ equidistant(u,x,v1,x1)
| ~ spl0_87 ),
inference(superposition,[],[f80,f784]) ).
fof(f1418,plain,
( equidistant(u1,v1,u,u)
| ~ spl0_87 ),
inference(superposition,[],[f218,f784]) ).
fof(f1446,plain,
( ~ equidistant(u,x,u1,x1)
| ~ spl0_87
| ~ spl0_119 ),
inference(forward_demodulation,[],[f1411,f1267]) ).
fof(f1453,plain,
( $false
| ~ spl0_87
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[],[f1446,f76]) ).
fof(f1454,plain,
( ~ spl0_87
| ~ spl0_119 ),
inference(avatar_contradiction_clause,[],[f1453]) ).
fof(f1643,plain,
( u1 = v1
| ~ spl0_87 ),
inference(resolution,[],[f1418,f3]) ).
fof(f1644,plain,
( $false
| ~ spl0_87
| spl0_119 ),
inference(forward_subsumption_resolution,[],[f1643,f1266]) ).
fof(f1645,plain,
( ~ spl0_87
| spl0_119 ),
inference(avatar_contradiction_clause,[],[f1644]) ).
fof(f1692,plain,
( ~ between(w,u,v)
| u = v ),
inference(resolution,[],[f56,f93]) ).
fof(f1694,plain,
( ~ between(w,u,v)
| spl0_87 ),
inference(forward_subsumption_resolution,[],[f1692,f783]) ).
fof(f1696,plain,
( ~ spl0_55
| spl0_87 ),
inference(avatar_split_clause,[],[f1694,f782,f600]) ).
fof(f1959,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(f1986,plain,
! [X2,X0,X1] :
( ~ equidistant(X0,x,X1,x1)
| ~ equidistant(X0,u,X1,u1)
| ~ between(X1,u1,X2)
| u = X0
| equidistant(extension(X0,u,u1,X2),x,X2,x1) ),
inference(resolution,[],[f1031,f88]) ).
fof(f2174,plain,
! [X0] :
( ~ between(X0,u,w)
| u = inner_pasch(u,v,w,u,X0) ),
inference(resolution,[],[f1959,f78]) ).
fof(f2175,plain,
! [X0] :
( ~ between(X0,u1,w1)
| u1 = inner_pasch(u1,v1,w1,u1,X0) ),
inference(resolution,[],[f1959,f79]) ).
fof(f2179,plain,
! [X0,X1] : u1 = inner_pasch(u1,v1,w1,u1,extension(w1,u1,X0,X1)),
inference(resolution,[],[f2175,f1108]) ).
fof(f2181,plain,
! [X0,X1] : u = inner_pasch(u,v,w,u,extension(w,u,X0,X1)),
inference(resolution,[],[f2174,f1108]) ).
fof(f2187,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,f2181]) ).
fof(f2189,plain,
! [X0,X1] :
( between(v,u,extension(w,u,X0,X1))
| ~ between(extension(w,u,X0,X1),u,w) ),
inference(forward_subsumption_resolution,[],[f2187,f78]) ).
fof(f2190,plain,
! [X0,X1] : between(v,u,extension(w,u,X0,X1)),
inference(forward_subsumption_resolution,[],[f2189,f1108]) ).
fof(f2192,plain,
! [X0,X1] :
( between(v1,u1,extension(w1,u1,X0,X1))
| ~ between(extension(w1,u1,X0,X1),u1,w1)
| ~ between(u1,v1,w1) ),
inference(superposition,[],[f8,f2179]) ).
fof(f2194,plain,
! [X0,X1] :
( between(v1,u1,extension(w1,u1,X0,X1))
| ~ between(extension(w1,u1,X0,X1),u1,w1) ),
inference(forward_subsumption_resolution,[],[f2192,f79]) ).
fof(f2195,plain,
! [X0,X1] : between(v1,u1,extension(w1,u1,X0,X1)),
inference(forward_subsumption_resolution,[],[f2194,f1108]) ).
fof(f2196,plain,
! [X0,X1] : between(extension(w1,u1,X0,X1),u1,v1),
inference(resolution,[],[f2195,f53]) ).
fof(f2211,plain,
! [X0,X1] : between(extension(w,u,X0,X1),u,v),
inference(resolution,[],[f2190,f53]) ).
fof(f3392,plain,
! [X0] :
( ~ equidistant(w,u,w1,u1)
| ~ between(w1,u1,X0)
| u = w
| equidistant(extension(w,u,u1,X0),x,X0,x1) ),
inference(resolution,[],[f1986,f77]) ).
fof(f3393,plain,
! [X0] :
( ~ between(w1,u1,X0)
| u = w
| equidistant(extension(w,u,u1,X0),x,X0,x1) ),
inference(forward_subsumption_resolution,[],[f3392,f198]) ).
fof(f3630,plain,
( ~ between(u,u,v)
| ~ spl0_53
| spl0_55 ),
inference(superposition,[],[f602,f594]) ).
fof(f3664,plain,
( $false
| ~ spl0_53
| spl0_55 ),
inference(forward_subsumption_resolution,[],[f3630,f54]) ).
fof(f3665,plain,
( ~ spl0_53
| spl0_55 ),
inference(avatar_contradiction_clause,[],[f3664]) ).
fof(f3688,plain,
( ! [X0] :
( equidistant(extension(w,u,u1,X0),x,X0,x1)
| ~ between(w1,u1,X0) )
| spl0_53 ),
inference(forward_subsumption_resolution,[],[f3393,f593]) ).
fof(f3923,plain,
( ! [X0] :
( ~ between(w1,u1,X0)
| ~ equidistant(extension(w,u,u1,X0),u,X0,u1)
| ~ between(extension(w,u,u1,X0),u,v)
| ~ between(X0,u1,v1)
| u = extension(w,u,u1,X0) )
| spl0_53 ),
inference(resolution,[],[f3688,f567]) ).
fof(f3952,plain,
( ! [X0] :
( ~ between(w1,u1,X0)
| ~ between(extension(w,u,u1,X0),u,v)
| ~ between(X0,u1,v1)
| u = extension(w,u,u1,X0) )
| spl0_53 ),
inference(forward_subsumption_resolution,[],[f3923,f1021]) ).
fof(f3958,plain,
( ! [X0] :
( ~ between(w1,u1,X0)
| ~ between(X0,u1,v1)
| u = extension(w,u,u1,X0) )
| spl0_53 ),
inference(forward_subsumption_resolution,[],[f3952,f2211]) ).
fof(f4134,plain,
( ! [X0,X1] :
( ~ between(extension(w1,u1,X0,X1),u1,v1)
| u = extension(w,u,u1,extension(w1,u1,X0,X1)) )
| spl0_53 ),
inference(resolution,[],[f3958,f88]) ).
fof(f4140,plain,
( ! [X0,X1] : u = extension(w,u,u1,extension(w1,u1,X0,X1))
| spl0_53 ),
inference(forward_subsumption_resolution,[],[f4134,f2196]) ).
fof(f4331,plain,
( ! [X0,X1] : equidistant(u,u,u1,extension(w1,u1,X0,X1))
| spl0_53 ),
inference(superposition,[],[f5,f4140]) ).
fof(f4852,plain,
( ! [X0,X1] : equidistant(u,u,X0,X1)
| spl0_53 ),
inference(resolution,[],[f4331,f1025]) ).
fof(f4884,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(u,u,X0,X1)
| equidistant(X0,X1,X2,X3) )
| spl0_53 ),
inference(resolution,[],[f4852,f2]) ).
fof(f4902,plain,
( ! [X2,X3,X0,X1] : equidistant(X0,X1,X2,X3)
| spl0_53 ),
inference(forward_subsumption_resolution,[],[f4884,f4852]) ).
fof(f4956,plain,
( $false
| spl0_53 ),
inference(resolution,[],[f4902,f80]) ).
fof(f4970,plain,
spl0_53,
inference(avatar_contradiction_clause,[],[f4956]) ).
cnf(s64,plain,
( ~ spl0_87
| ~ spl0_119 ),
inference(sat_conversion,[],[f1454]) ).
cnf(s74,plain,
( ~ spl0_87
| spl0_119 ),
inference(sat_conversion,[],[f1645]) ).
cnf(s79,plain,
( ~ spl0_55
| spl0_87 ),
inference(sat_conversion,[],[f1696]) ).
cnf(s135,plain,
( ~ spl0_53
| spl0_55 ),
inference(sat_conversion,[],[f3665]) ).
cnf(s163,plain,
spl0_53,
inference(sat_conversion,[],[f4970]) ).
cnf(s165,plain,
spl0_55,
inference(rat,[],[s135,s163]) ).
cnf(s169,plain,
spl0_87,
inference(rat,[],[s79,s165]) ).
cnf(s173,plain,
spl0_119,
inference(rat,[],[s74,s169]) ).
cnf(s179,plain,
$false,
inference(rat,[],[s64,s173,s169]) ).
fof(f4979,plain,
$false,
inference(avatar_sat_refutation,[],[s179]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO031-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n017.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 06:33:50 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 10.22/2.35 % (2190586)Input is clausal, will run a generic CNF schedule.
% 10.22/2.35 % (2190593)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3355100130:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.22/2.35 % (2190591)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=1504735245:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.22/2.35 % (2190595)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=395567807:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.22/2.35 % (2190597)dis-21_1_sil=8000:lcm=predicate:random_seed=3615439345: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)
% 10.22/2.35 % (2190592)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1010524259:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.22/2.35 % (2190594)lrs+10_1_sil=8000:sp=occurrence:random_seed=10823267:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.22/2.35 % (2190596)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1146939402:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.22/2.35 % (2190594)Refutation not found, incomplete strategy
% 10.22/2.35 % (2190594)------------------------------
% 10.22/2.35 % (2190594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.35 % (2190594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.35 % (2190594)CaDiCaL version: 2.1.3
% 10.22/2.35 % (2190594)Termination reason: Refutation not found, incomplete strategy
% 10.22/2.35 % (2190594)Time elapsed: 0.060 s
% 10.22/2.35 % (2190594)Peak memory usage: 89 MB
% 10.22/2.35 % (2190594)Instructions burned: 101 (million)
% 10.22/2.35 % (2190595)Instruction limit reached!
% 10.22/2.35 % (2190595)------------------------------
% 10.22/2.35 % (2190595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.35 % (2190595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.35 % (2190595)CaDiCaL version: 2.1.3
% 10.22/2.35 % (2190595)Termination reason: Instruction limit
% 10.22/2.35 % (2190595)Termination phase: Saturation
% 10.22/2.35 % (2190595)Time elapsed: 0.063 s
% 10.22/2.35 % (2190595)Peak memory usage: 88 MB
% 10.22/2.35 % (2190595)Instructions burned: 115 (million)
% 10.22/2.35 % (2190597)Instruction limit reached!
% 10.22/2.35 % (2190597)------------------------------
% 10.22/2.35 % (2190597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.35 % (2190597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.35 % (2190597)CaDiCaL version: 2.1.3
% 10.22/2.35 % (2190597)Termination reason: Instruction limit
% 10.22/2.35 % (2190597)Termination phase: Saturation
% 10.22/2.35 % (2190597)Time elapsed: 0.068 s
% 10.22/2.35 % (2190597)Peak memory usage: 88 MB
% 10.22/2.35 % (2190597)Instructions burned: 117 (million)
% 10.22/2.35 % (2190596)Instruction limit reached!
% 10.22/2.35 % (2190596)------------------------------
% 10.22/2.35 % (2190596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.35 % (2190596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.35 % (2190596)CaDiCaL version: 2.1.3
% 10.22/2.35 % (2190596)Termination reason: Instruction limit
% 10.22/2.35 % (2190596)Termination phase: Saturation
% 10.22/2.35 % (2190596)Time elapsed: 0.106 s
% 10.22/2.35 % (2190596)Peak memory usage: 89 MB
% 10.22/2.35 % (2190596)Instructions burned: 180 (million)
% 10.22/2.35 % (2190606)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=86218215: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)
% 10.22/2.35 % (2190605)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=2824957136:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.22/2.35 % (2190607)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2999306399:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 10.22/2.35 % (2190605)Refutation not found, incomplete strategy
% 10.22/2.35 % (2190605)------------------------------
% 10.22/2.35 % (2190605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.35 % (2190605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.35 % (2190605)CaDiCaL version: 2.1.3
% 10.22/2.35 % (2190605)Termination reason: Refutation not found, incomplete strategy
% 10.22/2.35 % (2190605)Time elapsed: 0.070 s
% 10.22/2.35 % (2190605)Peak memory usage: 89 MB
% 10.22/2.35 % (2190605)Instructions burned: 108 (million)
% 10.22/2.35 % (2190594)------------------------------
% 10.22/2.35 % (2190594)------------------------------
% 10.22/2.35 % (2190606)Instruction limit reached!
% 10.22/2.35 % (2190606)------------------------------
% 10.22/2.35 % (2190606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.35 % (2190606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.35 % (2190606)CaDiCaL version: 2.1.3
% 10.22/2.35 % (2190606)Termination reason: Instruction limit
% 10.22/2.35 % (2190606)Termination phase: Saturation
% 10.22/2.35 % (2190606)Time elapsed: 0.096 s
% 10.22/2.35 % (2190606)Peak memory usage: 89 MB
% 10.22/2.35 % (2190606)Instructions burned: 190 (million)
% 10.22/2.35 % (2190607)Instruction limit reached!
% 10.22/2.35 % (2190607)------------------------------
% 10.22/2.35 % (2190607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.35 % (2190607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.35 % (2190607)CaDiCaL version: 2.1.3
% 10.22/2.35 % (2190607)Termination reason: Instruction limit
% 10.22/2.35 % (2190607)Termination phase: Saturation
% 10.22/2.35 % (2190607)Time elapsed: 0.122 s
% 10.22/2.35 % (2190607)Peak memory usage: 89 MB
% 10.22/2.35 % (2190607)Instructions burned: 220 (million)
% 10.22/2.35 % (2190611)lrs+10_64_to=lpo:sil=8000:random_seed=780149289:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 10.22/2.35 % (2190612)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2356602732:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 10.22/2.35 % (2190605)------------------------------
% 10.22/2.35 % (2190605)------------------------------
% 10.22/2.35 % (2190611)Instruction limit reached!
% 10.22/2.35 % (2190611)------------------------------
% 10.22/2.35 % (2190611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.35 % (2190611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.35 % (2190611)CaDiCaL version: 2.1.3
% 10.22/2.35 % (2190611)Termination reason: Instruction limit
% 10.22/2.35 % (2190611)Termination phase: Saturation
% 10.22/2.35 % (2190611)Time elapsed: 0.078 s
% 10.22/2.35 % (2190611)Peak memory usage: 89 MB
% 10.22/2.35 % (2190611)Instructions burned: 127 (million)
% 10.22/2.35 % (2190613)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2573275430:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 10.22/2.35 % (2190612)Instruction limit reached!
% 10.22/2.35 % (2190612)------------------------------
% 10.22/2.35 % (2190612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.35 % (2190612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.35 % (2190612)CaDiCaL version: 2.1.3
% 10.22/2.35 % (2190612)Termination reason: Instruction limit
% 10.22/2.35 % (2190612)Termination phase: Saturation
% 10.22/2.35 % (2190612)Time elapsed: 0.118 s
% 10.22/2.35 % (2190612)Peak memory usage: 89 MB
% 10.22/2.35 % (2190612)Instructions burned: 195 (million)
% 10.22/2.35 % (2190613)Instruction limit reached!
% 10.22/2.35 % (2190613)------------------------------
% 10.22/2.35 % (2190613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.35 % (2190613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.35 % (2190613)CaDiCaL version: 2.1.3
% 10.22/2.35 % (2190613)Termination reason: Instruction limit
% 10.22/2.35 % (2190613)Termination phase: Saturation
% 10.22/2.35 % (2190613)Time elapsed: 0.102 s
% 10.22/2.35 % (2190613)Peak memory usage: 90 MB
% 10.22/2.35 % (2190613)Instructions burned: 158 (million)
% 10.22/2.35 % (2190616)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=597173103:i=3394:sd=4:ss=included:sgt=64_2992 on theBenchmark for (2992ds/3394Mi)
% 10.22/2.35 % (2190617)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=38853979:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 10.22/2.35 % (2190617)Refutation not found, incomplete strategy
% 10.22/2.35 % (2190617)------------------------------
% 10.22/2.35 % (2190617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.35 % (2190617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.35 % (2190617)CaDiCaL version: 2.1.3
% 10.22/2.35 % (2190617)Termination reason: Refutation not found, incomplete strategy
% 10.22/2.35 % (2190617)Time elapsed: 0.036 s
% 10.22/2.35 % (2190617)Peak memory usage: 88 MB
% 10.22/2.35 % (2190617)Instructions burned: 75 (million)
% 10.22/2.35 % (2190619)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3685897479:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 10.22/2.35 % (2190619)Instruction limit reached!
% 10.22/2.35 % (2190619)------------------------------
% 10.22/2.35 % (2190619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.35 % (2190619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.35 % (2190619)CaDiCaL version: 2.1.3
% 10.22/2.35 % (2190619)Termination reason: Instruction limit
% 10.22/2.35 % (2190619)Termination phase: Saturation
% 10.22/2.35 % (2190619)Time elapsed: 0.071 s
% 10.22/2.35 % (2190619)Peak memory usage: 89 MB
% 10.22/2.35 % (2190619)Instructions burned: 107 (million)
% 10.22/2.35 % (2190620)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3576143688:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 10.22/2.35 % (2190617)------------------------------
% 10.22/2.35 % (2190617)------------------------------
% 10.22/2.35 % (2190620)Instruction limit reached!
% 10.22/2.35 % (2190620)------------------------------
% 10.22/2.35 % (2190620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.35 % (2190620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.35 % (2190620)CaDiCaL version: 2.1.3
% 10.22/2.35 % (2190620)Termination reason: Instruction limit
% 10.22/2.35 % (2190620)Termination phase: Saturation
% 10.22/2.35 % (2190620)Time elapsed: 0.157 s
% 10.22/2.35 % (2190620)Peak memory usage: 90 MB
% 10.22/2.35 % (2190620)Instructions burned: 246 (million)
% 10.22/2.35 % (2190625)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2305415046:cond=fast:i=5208:av=off_2990 on theBenchmark for (2990ds/5208Mi)
% 10.22/2.35 % (2190591)First to succeed.
% 10.22/2.35 % (2190591)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2190586"
% 10.22/2.35 % (2190626)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=4257590665:i=134:sd=2:doe=on:ss=axioms:sgt=14_2988 on theBenchmark for (2988ds/134Mi)
% 10.22/2.35 % (2190627)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1664583258:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 10.22/2.35 % (2190626)Instruction limit reached!
% 10.22/2.35 % (2190626)------------------------------
% 10.22/2.35 % (2190626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.35 % (2190626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.35 % (2190626)CaDiCaL version: 2.1.3
% 10.22/2.35 % (2190626)Termination reason: Instruction limit
% 10.22/2.35 % (2190626)Termination phase: Saturation
% 10.22/2.35 % (2190626)Time elapsed: 0.068 s
% 10.22/2.35 % (2190626)Peak memory usage: 88 MB
% 10.22/2.35 % (2190626)Instructions burned: 135 (million)
% 10.22/2.35 % (2190591)Refutation found. Thanks to Tanya!
% 10.22/2.35 % SZS status Unsatisfiable for theBenchmark
% 10.22/2.35 % SZS output start Proof for theBenchmark
% See solution above
% 11.08/2.54 % (2190591)------------------------------
% 11.08/2.54 % (2190591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.08/2.54 % (2190591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.08/2.54 % (2190591)CaDiCaL version: 2.1.3
% 11.08/2.54 % (2190591)Termination reason: Refutation
% 11.08/2.54 % (2190591)Time elapsed: 1.065 s
% 11.08/2.54 % (2190591)Peak memory usage: 134 MB
% 11.08/2.54 % (2190591)Instructions burned: 1588 (million)
% 11.08/2.54 % (2190591)------------------------------
% 11.08/2.54 % (2190591)------------------------------
% 11.08/2.54 % (2190586)Success in time 1.486 s
% 11.08/2.54 % Vampire exiting
%------------------------------------------------------------------------------