%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO061-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 09:51:23 AM UTC 2026
% Result : Unsatisfiable 23.73s 7.91s
% Output : Refutation 50.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 28
% Syntax : Number of formulae : 217 ( 36 unt; 14 def)
% Number of atoms : 635 ( 91 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 762 ( 344 ~; 406 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 13 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-5 aty)
% Number of variables : 295 ( 0 sgn 295 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',transitivity_for_equidistance) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_equidistance) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction1) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',outer_five_segment) ).
fof(f7,axiom,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',inner_pasch2) ).
fof(f10,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension1) ).
fof(f19,axiom,
! [X2,X3,X0,X1] : insertion(X0,X1,X2,X3) = extension(extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),X0,X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',insertion) ).
fof(f20,negated_conjecture,
( ~ equidistant(u,v,u1,insertion(u1,w1,u,v))
| between(u,v,w) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_1) ).
fof(f21,negated_conjecture,
( ~ equidistant(u,v,u1,insertion(u1,w1,u,v))
| equidistant(u,w,u1,w1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_2) ).
fof(f22,negated_conjecture,
( ~ equidistant(u,v,u1,insertion(u1,w1,u,v))
| ~ between(u1,insertion(u1,w1,u,v),w1)
| ~ equidistant(v,w,insertion(u1,w1,u,v),w1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_3) ).
fof(f23,plain,
( ~ equidistant(u,v,u1,extension(extension(w1,u1,lower_dimension_point_1,lower_dimension_point_2),u1,u,v))
| between(u,v,w) ),
inference(definition_unfolding,[],[f20,f19]) ).
fof(f24,plain,
( ~ equidistant(u,v,u1,extension(extension(w1,u1,lower_dimension_point_1,lower_dimension_point_2),u1,u,v))
| equidistant(u,w,u1,w1) ),
inference(definition_unfolding,[],[f21,f19]) ).
fof(f25,plain,
( ~ equidistant(u,v,u1,extension(extension(w1,u1,lower_dimension_point_1,lower_dimension_point_2),u1,u,v))
| ~ between(u1,extension(extension(w1,u1,lower_dimension_point_1,lower_dimension_point_2),u1,u,v),w1)
| ~ equidistant(v,w,extension(extension(w1,u1,lower_dimension_point_1,lower_dimension_point_2),u1,u,v),w1) ),
inference(definition_unfolding,[],[f22,f19,f19,f19]) ).
fof(f26,definition,
sF0 = extension(w1,u1,lower_dimension_point_1,lower_dimension_point_2),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f27,plain,
extension(w1,u1,lower_dimension_point_1,lower_dimension_point_2) = sF0,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF1 = extension(sF0,u1,u,v),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f29,plain,
extension(sF0,u1,u,v) = sF1,
inference(reorient_equations,[],[f28]) ).
fof(f30,plain,
( ~ equidistant(u,v,u1,sF1)
| between(u,v,w) ),
inference(definition_folding,[],[f23,f29,f27]) ).
fof(f31,plain,
( ~ equidistant(u,v,u1,sF1)
| equidistant(u,w,u1,w1) ),
inference(definition_folding,[],[f24,f29,f27]) ).
fof(f32,plain,
( ~ equidistant(u,v,u1,sF1)
| ~ between(u1,sF1,w1)
| ~ equidistant(v,w,sF1,w1) ),
inference(definition_folding,[],[f25,f29,f27,f29,f27,f29,f27]) ).
fof(f34,definition,
( spl2_1
<=> equidistant(v,w,sF1,w1) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f35,plain,
( equidistant(v,w,sF1,w1)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f36,plain,
( ~ equidistant(v,w,sF1,w1)
| spl2_1 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f38,definition,
( spl2_2
<=> between(u1,sF1,w1) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f40,plain,
( ~ between(u1,sF1,w1)
| spl2_2 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f42,definition,
( spl2_3
<=> equidistant(u,v,u1,sF1) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f43,plain,
( equidistant(u,v,u1,sF1)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f44,plain,
( ~ equidistant(u,v,u1,sF1)
| spl2_3 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f45,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f32,f42,f38,f34]) ).
fof(f47,definition,
( spl2_4
<=> between(u,v,w) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
fof(f49,plain,
( between(u,v,w)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f50,plain,
( spl2_4
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f30,f42,f47]) ).
fof(f54,plain,
between(w1,u1,sF0),
inference(superposition,[],[f4,f27]) ).
fof(f55,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,extension(X1,X0,X2,X3),X4,X5)
| equidistant(X4,X5,X2,X3) ),
inference(resolution,[],[f2,f5]) ).
fof(f56,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X1,X0) ),
inference(resolution,[],[f2,f1]) ).
fof(f58,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f3,f5]) ).
fof(f60,plain,
! [X2,X0] : equidistant(X0,X0,X2,X2),
inference(superposition,[],[f5,f58]) ).
fof(f61,plain,
! [X0,X1] : between(X1,X0,X0),
inference(superposition,[],[f4,f58]) ).
fof(f62,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X0,X1,X2)
| equidistant(X1,X2,X3,X3) ),
inference(resolution,[],[f60,f2]) ).
fof(f64,plain,
! [X2,X3,X0,X1] : equidistant(X0,X1,extension(X2,X3,X0,X1),X3),
inference(resolution,[],[f56,f5]) ).
fof(f65,plain,
! [X0,X1] : equidistant(X0,X1,X0,X1),
inference(resolution,[],[f56,f1]) ).
fof(f73,plain,
! [X2,X3,X0,X1] : equidistant(extension(X0,X1,X2,X3),X1,X3,X2),
inference(resolution,[],[f64,f56]) ).
fof(f85,plain,
! [X2,X3,X0,X1] : equidistant(extension(X0,X1,X2,X3),X1,X2,X3),
inference(resolution,[],[f55,f1]) ).
fof(f89,plain,
! [X0,X1] :
( ~ equidistant(u1,sF0,X0,X1)
| equidistant(X0,X1,lower_dimension_point_1,lower_dimension_point_2) ),
inference(superposition,[],[f55,f27]) ).
fof(f91,plain,
! [X2,X3,X0,X1] : equidistant(X0,X1,X2,extension(X3,X2,X0,X1)),
inference(resolution,[],[f85,f56]) ).
fof(f98,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X2,X3,X4,extension(X5,X4,X0,X1))
| ~ equidistant(X0,X1,X2,X3) ),
inference(resolution,[],[f91,f2]) ).
fof(f100,plain,
equidistant(u,v,u1,sF1),
inference(superposition,[],[f91,f29]) ).
fof(f103,plain,
( $false
| spl2_3 ),
inference(forward_subsumption_resolution,[],[f100,f44]) ).
fof(f104,plain,
spl2_3,
inference(avatar_contradiction_clause,[],[f103]) ).
fof(f105,plain,
( equidistant(u,w,u1,w1)
| ~ spl2_3 ),
inference(forward_subsumption_resolution,[],[f31,f43]) ).
fof(f106,plain,
( equidistant(u1,w1,w,u)
| ~ spl2_3 ),
inference(resolution,[],[f105,f56]) ).
fof(f107,plain,
( ! [X0,X1] :
( ~ equidistant(u,w,X0,X1)
| equidistant(X0,X1,u1,w1) )
| ~ spl2_3 ),
inference(resolution,[],[f105,f2]) ).
fof(f108,plain,
( equidistant(u1,sF1,v,u)
| ~ spl2_3 ),
inference(resolution,[],[f43,f56]) ).
fof(f110,plain,
( equidistant(v,u,sF1,u1)
| ~ spl2_3 ),
inference(resolution,[],[f108,f56]) ).
fof(f120,plain,
( equidistant(w,u,w1,u1)
| ~ spl2_3 ),
inference(resolution,[],[f106,f56]) ).
fof(f122,plain,
( equidistant(w1,u1,u,w)
| ~ spl2_3 ),
inference(resolution,[],[f120,f56]) ).
fof(f125,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X2,X3,X4,X5)
| ~ equidistant(X0,X1,X2,X3)
| equidistant(X4,X5,X6,extension(X7,X6,X0,X1)) ),
inference(resolution,[],[f98,f2]) ).
fof(f142,plain,
( ! [X0,X1] : equidistant(X0,extension(X1,X0,u,w),u1,w1)
| ~ spl2_3 ),
inference(resolution,[],[f107,f91]) ).
fof(f158,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(f159,plain,
! [X2,X3,X0,X1] :
( ~ between(X3,X0,X2)
| inner_pasch(X0,X1,X2,X0,X3) = X0
| ~ between(X0,X1,X2) ),
inference(resolution,[],[f7,f9]) ).
fof(f183,plain,
! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,extension(X2,X0,X3,X4))
| inner_pasch(X0,X1,extension(X2,X0,X3,X4),X0,X2) = X0 ),
inference(resolution,[],[f159,f4]) ).
fof(f187,plain,
( ! [X0] :
( ~ between(v,X0,w)
| v = inner_pasch(v,X0,w,v,u) )
| ~ spl2_4 ),
inference(resolution,[],[f159,f49]) ).
fof(f190,plain,
( v = inner_pasch(v,w,w,v,u)
| ~ spl2_4 ),
inference(resolution,[],[f187,f61]) ).
fof(f194,plain,
( between(w,v,u)
| ~ between(u,v,w)
| ~ between(v,w,w)
| ~ spl2_4 ),
inference(superposition,[],[f8,f190]) ).
fof(f195,plain,
( between(w,v,u)
| ~ between(v,w,w)
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f194,f49]) ).
fof(f196,plain,
( between(w,v,u)
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f195,f61]) ).
fof(f209,plain,
( equidistant(u1,w1,u,w)
| ~ spl2_3 ),
inference(resolution,[],[f142,f55]) ).
fof(f212,plain,
( equidistant(u,w,w1,u1)
| ~ spl2_3 ),
inference(resolution,[],[f209,f56]) ).
fof(f220,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,f65]) ).
fof(f231,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(u,X0,u1,X1)
| ~ equidistant(X2,v,X3,sF1)
| ~ equidistant(X2,u,X3,u1)
| ~ between(X2,u,X0)
| ~ between(X3,u1,X1)
| u = X2
| equidistant(X0,v,X1,sF1) )
| ~ spl2_3 ),
inference(resolution,[],[f6,f43]) ).
fof(f257,plain,
( ! [X0,X1] :
( ~ equidistant(X0,v,X1,sF1)
| ~ equidistant(X0,u,X1,u1)
| ~ between(X0,u,w)
| ~ between(X1,u1,w1)
| u = X0
| equidistant(w,v,w1,sF1) )
| ~ spl2_3 ),
inference(resolution,[],[f231,f105]) ).
fof(f260,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,u,extension(X2,u,u1,X3))
| ~ equidistant(X0,u,X1,u1)
| ~ equidistant(X0,v,X1,sF1)
| ~ between(X1,u1,X3)
| u = X0
| equidistant(extension(X2,u,u1,X3),v,X3,sF1) )
| ~ spl2_3 ),
inference(resolution,[],[f231,f5]) ).
fof(f266,definition,
( spl2_5
<=> equidistant(w,v,w1,sF1) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
fof(f268,plain,
( equidistant(w,v,w1,sF1)
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f270,definition,
( spl2_6
<=> ! [X0,X1] :
( ~ equidistant(X0,v,X1,sF1)
| u = X0
| ~ between(X1,u1,w1)
| ~ between(X0,u,w)
| ~ equidistant(X0,u,X1,u1) ) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
fof(f271,plain,
( ! [X0,X1] :
( ~ equidistant(X0,v,X1,sF1)
| u = X0
| ~ between(X1,u1,w1)
| ~ between(X0,u,w)
| ~ equidistant(X0,u,X1,u1) )
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f272,plain,
( spl2_5
| spl2_6
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f257,f42,f270,f266]) ).
fof(f294,definition,
( spl2_7
<=> u = v ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
fof(f295,plain,
( u != v
| spl2_7 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f296,plain,
( u = v
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f301,plain,
( sF1 = extension(sF0,u1,u,u)
| ~ spl2_7 ),
inference(backward_demodulation,[],[f29,f296]) ).
fof(f414,plain,
( u1 = sF1
| ~ spl2_7 ),
inference(forward_demodulation,[],[f301,f58]) ).
fof(f429,plain,
( ~ between(sF1,sF1,w1)
| spl2_2
| ~ spl2_7 ),
inference(backward_demodulation,[],[f40,f414]) ).
fof(f438,plain,
( equidistant(u,w,sF1,w1)
| ~ spl2_3
| ~ spl2_7 ),
inference(backward_demodulation,[],[f105,f414]) ).
fof(f727,plain,
! [X2,X3,X0,X1] : inner_pasch(X0,extension(X1,X0,X2,X3),extension(X1,X0,X2,X3),X0,X1) = X0,
inference(resolution,[],[f183,f61]) ).
fof(f801,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,[],[f220,f65]) ).
fof(f814,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,[],[f801,f65]) ).
fof(f815,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,[],[f814,f5]) ).
fof(f821,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ between(X0,X1,extension(X3,X1,X4,X5))
| ~ between(X0,X1,X2)
| X0 = X1
| equidistant(X2,X6,extension(X3,X1,X4,X5),X6)
| ~ equidistant(X4,X5,X1,X2) ),
inference(resolution,[],[f814,f98]) ).
fof(f827,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X2,X3,extension(X0,X1,X4,X5),X3)
| X0 = X1
| ~ between(X0,X1,X2)
| ~ equidistant(X4,X5,X1,X2) ),
inference(resolution,[],[f821,f4]) ).
fof(f837,plain,
! [X2,X3,X0,X1,X4] :
( ~ equidistant(X3,X4,X1,X2)
| ~ between(X0,X1,X2)
| X0 = X1
| extension(X0,X1,X3,X4) = X2 ),
inference(resolution,[],[f827,f3]) ).
fof(f847,plain,
! [X2,X3,X0,X1] :
( equidistant(extension(X0,X1,X1,X2),X3,X2,X3)
| X0 = X1
| ~ between(X0,X1,X2) ),
inference(resolution,[],[f815,f4]) ).
fof(f857,plain,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| X0 = X1
| extension(X0,X1,X1,X2) = X2 ),
inference(resolution,[],[f847,f3]) ).
fof(f986,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ between(X0,X1,extension(X2,X1,X3,X4))
| X0 = X1
| extension(X2,X1,X3,X4) = extension(X0,X1,X5,X6)
| ~ equidistant(X3,X4,X5,X6) ),
inference(resolution,[],[f837,f98]) ).
fof(f992,plain,
! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,X2)
| X0 = X1
| extension(X0,X1,extension(X3,X4,X1,X2),X4) = X2 ),
inference(resolution,[],[f837,f85]) ).
fof(f1069,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,f727]) ).
fof(f1070,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,[],[f1069,f4]) ).
fof(f1071,plain,
! [X2,X3,X0,X1] : between(extension(X1,X0,X2,X3),X0,X1),
inference(forward_subsumption_resolution,[],[f1070,f61]) ).
fof(f1078,plain,
! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,X2)
| inner_pasch(extension(X2,X0,X3,X4),X0,X2,X1,X0) = X0 ),
inference(resolution,[],[f1071,f158]) ).
fof(f1083,plain,
! [X0,X1] : between(X0,X0,X1),
inference(superposition,[],[f1071,f58]) ).
fof(f1088,plain,
( $false
| spl2_2
| ~ spl2_7 ),
inference(backward_subsumption_resolution,[],[f429,f1083]) ).
fof(f1089,plain,
( spl2_2
| ~ spl2_7 ),
inference(avatar_contradiction_clause,[],[f1088]) ).
fof(f1093,plain,
( ! [X2,X3,X0,X1] :
( equidistant(u1,w1,X2,extension(X3,X2,X0,X1))
| ~ equidistant(X0,X1,u,w) )
| ~ spl2_3 ),
inference(resolution,[],[f105,f125]) ).
fof(f1124,plain,
between(sF1,u1,sF0),
inference(superposition,[],[f1071,f29]) ).
fof(f1158,plain,
between(sF0,u1,w1),
inference(superposition,[],[f1071,f27]) ).
fof(f1512,plain,
( ! [X2,X0] :
( equidistant(u1,w1,X0,X0)
| ~ equidistant(X2,X2,u,w) )
| ~ spl2_3 ),
inference(superposition,[],[f1093,f58]) ).
fof(f1567,definition,
( spl2_15
<=> ! [X2] : ~ equidistant(X2,X2,u,w) ),
introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition]) ).
fof(f1568,plain,
( ! [X2] : ~ equidistant(X2,X2,u,w)
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f1567]) ).
fof(f1570,definition,
( spl2_16
<=> ! [X0] : equidistant(u1,w1,X0,X0) ),
introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition]) ).
fof(f1571,plain,
( ! [X0] : equidistant(u1,w1,X0,X0)
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f1570]) ).
fof(f1572,plain,
( spl2_15
| spl2_16
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f1512,f42,f1570,f1567]) ).
fof(f1613,definition,
( spl2_17
<=> u1 = sF0 ),
introduced(definition,[new_symbols(definition,[spl2_17])],[avatar_definition]) ).
fof(f1614,plain,
( u1 != sF0
| spl2_17 ),
inference(avatar_component_clause,[],[f1613]) ).
fof(f1615,plain,
( u1 = sF0
| ~ spl2_17 ),
inference(avatar_component_clause,[],[f1613]) ).
fof(f3687,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(v,X0,sF1,X1)
| ~ equidistant(X2,w,X3,w1)
| ~ equidistant(X2,v,X3,sF1)
| ~ between(X2,v,X0)
| ~ between(X3,sF1,X1)
| v = X2
| equidistant(X0,w,X1,w1) )
| ~ spl2_1 ),
inference(resolution,[],[f35,f6]) ).
fof(f3719,plain,
( equidistant(w1,sF1,v,w)
| ~ spl2_5 ),
inference(resolution,[],[f268,f56]) ).
fof(f3771,definition,
( spl2_25
<=> u = w ),
introduced(definition,[new_symbols(definition,[spl2_25])],[avatar_definition]) ).
fof(f3772,plain,
( u != w
| spl2_25 ),
inference(avatar_component_clause,[],[f3771]) ).
fof(f3773,plain,
( u = w
| ~ spl2_25 ),
inference(avatar_component_clause,[],[f3771]) ).
fof(f3821,plain,
( between(w,v,w)
| ~ spl2_4
| ~ spl2_25 ),
inference(backward_demodulation,[],[f196,f3773]) ).
fof(f3868,plain,
( v != w
| spl2_7
| ~ spl2_25 ),
inference(backward_demodulation,[],[f295,f3773]) ).
fof(f8482,plain,
( equidistant(v,w,sF1,w1)
| ~ spl2_5 ),
inference(resolution,[],[f56,f3719]) ).
fof(f8562,plain,
( v = w
| ~ spl2_4
| ~ spl2_25 ),
inference(resolution,[],[f7,f3821]) ).
fof(f8563,plain,
( $false
| ~ spl2_4
| spl2_7
| ~ spl2_25 ),
inference(forward_subsumption_resolution,[],[f8562,f3868]) ).
fof(f8564,plain,
( ~ spl2_4
| spl2_7
| ~ spl2_25 ),
inference(avatar_contradiction_clause,[],[f8563]) ).
fof(f8618,plain,
( u1 = w1
| ~ spl2_16 ),
inference(resolution,[],[f1571,f3]) ).
fof(f8680,plain,
( equidistant(u,w,w1,w1)
| ~ spl2_3
| ~ spl2_16 ),
inference(backward_demodulation,[],[f212,f8618]) ).
fof(f9343,plain,
( u = w
| ~ spl2_3
| ~ spl2_16 ),
inference(resolution,[],[f8680,f3]) ).
fof(f9344,plain,
( $false
| ~ spl2_3
| ~ spl2_16
| spl2_25 ),
inference(forward_subsumption_resolution,[],[f9343,f3772]) ).
fof(f9345,plain,
( ~ spl2_3
| ~ spl2_16
| spl2_25 ),
inference(avatar_contradiction_clause,[],[f9344]) ).
fof(f10247,definition,
( spl2_35
<=> u1 = w1 ),
introduced(definition,[new_symbols(definition,[spl2_35])],[avatar_definition]) ).
fof(f10248,plain,
( u1 != w1
| spl2_35 ),
inference(avatar_component_clause,[],[f10247]) ).
fof(f10249,plain,
( u1 = w1
| ~ spl2_35 ),
inference(avatar_component_clause,[],[f10247]) ).
fof(f10286,plain,
( equidistant(w1,w1,u,w)
| ~ spl2_3
| ~ spl2_35 ),
inference(backward_demodulation,[],[f122,f10249]) ).
fof(f10833,plain,
( $false
| ~ spl2_3
| ~ spl2_15
| ~ spl2_35 ),
inference(forward_subsumption_resolution,[],[f10286,f1568]) ).
fof(f10834,plain,
( ~ spl2_3
| ~ spl2_15
| ~ spl2_35 ),
inference(avatar_contradiction_clause,[],[f10833]) ).
fof(f11639,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X1,sF1,extension(X3,sF1,v,X2))
| ~ equidistant(X0,v,X1,sF1)
| ~ between(X0,v,X2)
| ~ equidistant(X0,w,X1,w1)
| v = X0
| equidistant(X2,w,extension(X3,sF1,v,X2),w1) )
| ~ spl2_1 ),
inference(resolution,[],[f3687,f91]) ).
fof(f11998,plain,
( ! [X2,X0,X1] :
( ~ equidistant(X0,w,X1,w1)
| ~ between(X0,v,X2)
| ~ equidistant(X0,v,X1,sF1)
| v = X0
| equidistant(X2,w,extension(X1,sF1,v,X2),w1) )
| ~ spl2_1 ),
inference(resolution,[],[f11639,f4]) ).
fof(f12014,plain,
( ! [X0] :
( ~ between(u,v,X0)
| ~ equidistant(u,v,u1,sF1)
| u = v
| equidistant(X0,w,extension(u1,sF1,v,X0),w1) )
| ~ spl2_1
| ~ spl2_3 ),
inference(resolution,[],[f11998,f105]) ).
fof(f12016,plain,
( ! [X0] :
( ~ between(u,v,X0)
| u = v
| equidistant(X0,w,extension(u1,sF1,v,X0),w1) )
| ~ spl2_1
| ~ spl2_3 ),
inference(forward_subsumption_resolution,[],[f12014,f43]) ).
fof(f12021,plain,
( ! [X0] :
( equidistant(X0,w,extension(u1,sF1,v,X0),w1)
| ~ between(u,v,X0) )
| ~ spl2_1
| ~ spl2_3
| spl2_7 ),
inference(forward_subsumption_resolution,[],[f12016,f295]) ).
fof(f12024,plain,
( ! [X0] :
( ~ between(u,v,w)
| equidistant(extension(u1,sF1,v,w),w1,X0,X0) )
| ~ spl2_1
| ~ spl2_3
| spl2_7 ),
inference(resolution,[],[f12021,f62]) ).
fof(f12039,plain,
( ! [X0] : equidistant(extension(u1,sF1,v,w),w1,X0,X0)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_4
| spl2_7 ),
inference(forward_subsumption_resolution,[],[f12024,f49]) ).
fof(f12050,plain,
( w1 = extension(u1,sF1,v,w)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_4
| spl2_7 ),
inference(resolution,[],[f12039,f3]) ).
fof(f12102,plain,
( between(u1,sF1,w1)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_4
| spl2_7 ),
inference(superposition,[],[f4,f12050]) ).
fof(f12129,plain,
( $false
| ~ spl2_1
| spl2_2
| ~ spl2_3
| ~ spl2_4
| spl2_7 ),
inference(forward_subsumption_resolution,[],[f12102,f40]) ).
fof(f12130,plain,
( ~ spl2_1
| spl2_2
| ~ spl2_3
| ~ spl2_4
| spl2_7 ),
inference(avatar_contradiction_clause,[],[f12129]) ).
fof(f13644,plain,
! [X0,X1] : equidistant(extension(X0,X1,u1,sF0),X1,lower_dimension_point_1,lower_dimension_point_2),
inference(resolution,[],[f89,f64]) ).
fof(f13662,plain,
! [X0,X1] : equidistant(lower_dimension_point_1,lower_dimension_point_2,X0,extension(X1,X0,u1,sF0)),
inference(resolution,[],[f13644,f56]) ).
fof(f13865,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X2,X3,X4,X5)
| extension(X0,X1,X2,X3) = extension(X0,X1,X4,X5)
| X0 = X1 ),
inference(resolution,[],[f986,f4]) ).
fof(f13884,plain,
! [X2,X3,X0,X1] :
( extension(X0,X1,X2,X3) = extension(X0,X1,X3,X2)
| X0 = X1 ),
inference(resolution,[],[f13865,f1]) ).
fof(f13892,plain,
! [X2,X3,X0,X1,X4,X5] :
( extension(X0,X1,X2,extension(X3,X2,X4,X5)) = extension(X0,X1,X4,X5)
| X0 = X1 ),
inference(resolution,[],[f13865,f5]) ).
fof(f15446,plain,
! [X0,X1] :
( u1 = w1
| sF0 = extension(w1,u1,extension(X0,X1,u1,sF0),X1) ),
inference(resolution,[],[f992,f54]) ).
fof(f15453,plain,
( ! [X0,X1] : sF0 = extension(w1,u1,extension(X0,X1,u1,sF0),X1)
| spl2_35 ),
inference(forward_subsumption_resolution,[],[f15446,f10248]) ).
fof(f15952,plain,
( ! [X0,X1] : u = inner_pasch(extension(w,u,X0,X1),u,w,v,u)
| ~ spl2_4 ),
inference(resolution,[],[f1078,f49]) ).
fof(f15971,plain,
( ! [X0,X1] :
( between(v,u,extension(w,u,X0,X1))
| ~ between(u,v,w)
| ~ between(extension(w,u,X0,X1),u,w) )
| ~ spl2_4 ),
inference(superposition,[],[f9,f15952]) ).
fof(f15973,plain,
( ! [X0,X1] :
( between(v,u,extension(w,u,X0,X1))
| ~ between(extension(w,u,X0,X1),u,w) )
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f15971,f49]) ).
fof(f15974,plain,
( ! [X0,X1] : between(v,u,extension(w,u,X0,X1))
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f15973,f1071]) ).
fof(f15975,plain,
( ! [X0,X1] :
( ~ equidistant(v,u,X0,u1)
| ~ equidistant(v,v,X0,sF1)
| ~ between(X0,u1,X1)
| u = v
| equidistant(extension(w,u,u1,X1),v,X1,sF1) )
| ~ spl2_3
| ~ spl2_4 ),
inference(resolution,[],[f15974,f260]) ).
fof(f15986,plain,
( ! [X0,X1] :
( u = v
| extension(w,u,X0,X1) = extension(v,u,u,extension(w,u,X0,X1)) )
| ~ spl2_4 ),
inference(resolution,[],[f15974,f857]) ).
fof(f16007,plain,
( ! [X0,X1] : extension(w,u,X0,X1) = extension(v,u,u,extension(w,u,X0,X1))
| ~ spl2_4
| spl2_7 ),
inference(forward_subsumption_resolution,[],[f15986,f295]) ).
fof(f16016,plain,
( ! [X0,X1] :
( ~ equidistant(v,v,X0,sF1)
| ~ equidistant(v,u,X0,u1)
| ~ between(X0,u1,X1)
| equidistant(extension(w,u,u1,X1),v,X1,sF1) )
| ~ spl2_3
| ~ spl2_4
| spl2_7 ),
inference(forward_subsumption_resolution,[],[f15975,f295]) ).
fof(f16070,plain,
( ! [X0,X1] :
( extension(w,u,X0,X1) = extension(v,u,X0,X1)
| u = v )
| ~ spl2_4
| spl2_7 ),
inference(superposition,[],[f13892,f16007]) ).
fof(f16112,plain,
( ! [X0,X1] : extension(w,u,X0,X1) = extension(v,u,X0,X1)
| ~ spl2_4
| spl2_7 ),
inference(forward_subsumption_resolution,[],[f16070,f295]) ).
fof(f16197,plain,
( ! [X0,X1] :
( extension(w,u,X0,X1) = extension(v,u,X1,X0)
| u = v )
| ~ spl2_4
| spl2_7 ),
inference(superposition,[],[f13884,f16112]) ).
fof(f16268,plain,
( ! [X0,X1] : extension(w,u,X0,X1) = extension(v,u,X1,X0)
| ~ spl2_4
| spl2_7 ),
inference(forward_subsumption_resolution,[],[f16197,f295]) ).
fof(f16327,plain,
( ! [X0,X1] : extension(w,u,X0,X1) = extension(w,u,X1,X0)
| ~ spl2_4
| spl2_7 ),
inference(superposition,[],[f16112,f16268]) ).
fof(f16409,plain,
( sF0 = extension(w1,u1,extension(w,u,sF0,u1),u)
| ~ spl2_4
| spl2_7
| spl2_35 ),
inference(superposition,[],[f15453,f16268]) ).
fof(f16564,plain,
( ! [X0] :
( ~ equidistant(v,u,sF1,u1)
| ~ between(sF1,u1,X0)
| equidistant(extension(w,u,u1,X0),v,X0,sF1) )
| ~ spl2_3
| ~ spl2_4
| spl2_7 ),
inference(resolution,[],[f16016,f60]) ).
fof(f16569,plain,
( ! [X0] :
( equidistant(extension(w,u,u1,X0),v,X0,sF1)
| ~ between(sF1,u1,X0) )
| ~ spl2_3
| ~ spl2_4
| spl2_7 ),
inference(forward_subsumption_resolution,[],[f16564,f110]) ).
fof(f16579,plain,
( ! [X0] :
( ~ between(sF1,u1,X0)
| u = extension(w,u,u1,X0)
| ~ between(X0,u1,w1)
| ~ between(extension(w,u,u1,X0),u,w)
| ~ equidistant(extension(w,u,u1,X0),u,X0,u1) )
| ~ spl2_3
| ~ spl2_4
| ~ spl2_6
| spl2_7 ),
inference(resolution,[],[f16569,f271]) ).
fof(f16608,plain,
( ! [X0] :
( ~ between(sF1,u1,X0)
| u = extension(w,u,u1,X0)
| ~ between(X0,u1,w1)
| ~ equidistant(extension(w,u,u1,X0),u,X0,u1) )
| ~ spl2_3
| ~ spl2_4
| ~ spl2_6
| spl2_7 ),
inference(forward_subsumption_resolution,[],[f16579,f1071]) ).
fof(f16614,plain,
( ! [X0] :
( ~ between(sF1,u1,X0)
| u = extension(w,u,u1,X0)
| ~ between(X0,u1,w1) )
| ~ spl2_3
| ~ spl2_4
| ~ spl2_6
| spl2_7 ),
inference(forward_subsumption_resolution,[],[f16608,f73]) ).
fof(f16615,plain,
( u = extension(w,u,u1,sF0)
| ~ between(sF0,u1,w1)
| ~ spl2_3
| ~ spl2_4
| ~ spl2_6
| spl2_7 ),
inference(resolution,[],[f16614,f1124]) ).
fof(f16619,plain,
( u = extension(w,u,u1,sF0)
| ~ spl2_3
| ~ spl2_4
| ~ spl2_6
| spl2_7 ),
inference(forward_subsumption_resolution,[],[f16615,f1158]) ).
fof(f16620,plain,
( u = extension(w,u,sF0,u1)
| ~ spl2_3
| ~ spl2_4
| ~ spl2_6
| spl2_7 ),
inference(forward_demodulation,[],[f16619,f16327]) ).
fof(f16621,plain,
( sF0 = extension(w1,u1,u,u)
| ~ spl2_3
| ~ spl2_4
| ~ spl2_6
| spl2_7
| spl2_35 ),
inference(backward_demodulation,[],[f16409,f16620]) ).
fof(f16627,plain,
( u1 = sF0
| ~ spl2_3
| ~ spl2_4
| ~ spl2_6
| spl2_7
| spl2_35 ),
inference(forward_demodulation,[],[f16621,f58]) ).
fof(f16630,plain,
( $false
| ~ spl2_3
| ~ spl2_4
| ~ spl2_6
| spl2_7
| spl2_17
| spl2_35 ),
inference(forward_subsumption_resolution,[],[f16627,f1614]) ).
fof(f16631,plain,
( ~ spl2_3
| ~ spl2_4
| ~ spl2_6
| spl2_7
| spl2_17
| spl2_35 ),
inference(avatar_contradiction_clause,[],[f16630]) ).
fof(f17000,plain,
( ! [X0,X1] : equidistant(lower_dimension_point_1,lower_dimension_point_2,X0,extension(X1,X0,sF0,sF0))
| ~ spl2_17 ),
inference(backward_demodulation,[],[f13662,f1615]) ).
fof(f17693,plain,
( ! [X0] : equidistant(lower_dimension_point_1,lower_dimension_point_2,X0,X0)
| ~ spl2_17 ),
inference(forward_demodulation,[],[f17000,f58]) ).
fof(f18544,plain,
( lower_dimension_point_1 = lower_dimension_point_2
| ~ spl2_17 ),
inference(resolution,[],[f17693,f3]) ).
fof(f18557,plain,
( ~ between(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_3)
| ~ spl2_17 ),
inference(backward_demodulation,[],[f10,f18544]) ).
fof(f18701,plain,
( $false
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f18557,f1083]) ).
fof(f18702,plain,
~ spl2_17,
inference(avatar_contradiction_clause,[],[f18701]) ).
fof(f18754,plain,
( $false
| spl2_1
| ~ spl2_5 ),
inference(forward_subsumption_resolution,[],[f8482,f36]) ).
fof(f18755,plain,
( spl2_1
| ~ spl2_5 ),
inference(avatar_contradiction_clause,[],[f18754]) ).
fof(f22323,plain,
( ~ equidistant(u,w,sF1,w1)
| spl2_1
| ~ spl2_7 ),
inference(backward_demodulation,[],[f36,f296]) ).
fof(f23264,plain,
( $false
| spl2_1
| ~ spl2_3
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f22323,f438]) ).
fof(f23265,plain,
( spl2_1
| ~ spl2_3
| ~ spl2_7 ),
inference(avatar_contradiction_clause,[],[f23264]) ).
cnf(s1,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_3 ),
inference(sat_conversion,[],[f45]) ).
cnf(s2,plain,
( ~ spl2_3
| spl2_4 ),
inference(sat_conversion,[],[f50]) ).
cnf(s3,plain,
spl2_3,
inference(sat_conversion,[],[f104]) ).
cnf(s4,plain,
( ~ spl2_3
| spl2_5
| spl2_6 ),
inference(sat_conversion,[],[f272]) ).
cnf(s7,plain,
( spl2_2
| ~ spl2_7 ),
inference(sat_conversion,[],[f1089]) ).
cnf(s10,plain,
( ~ spl2_3
| spl2_15
| spl2_16 ),
inference(sat_conversion,[],[f1572]) ).
cnf(s44,plain,
( ~ spl2_4
| spl2_7
| ~ spl2_25 ),
inference(sat_conversion,[],[f8564]) ).
cnf(s46,plain,
( ~ spl2_3
| ~ spl2_16
| spl2_25 ),
inference(sat_conversion,[],[f9345]) ).
cnf(s53,plain,
( ~ spl2_3
| ~ spl2_15
| ~ spl2_35 ),
inference(sat_conversion,[],[f10834]) ).
cnf(s54,plain,
( ~ spl2_1
| spl2_2
| ~ spl2_3
| ~ spl2_4
| spl2_7 ),
inference(sat_conversion,[],[f12130]) ).
cnf(s70,plain,
( ~ spl2_3
| ~ spl2_4
| ~ spl2_6
| spl2_7
| spl2_17
| spl2_35 ),
inference(sat_conversion,[],[f16631]) ).
cnf(s72,plain,
~ spl2_17,
inference(sat_conversion,[],[f18702]) ).
cnf(s75,plain,
( spl2_1
| ~ spl2_5 ),
inference(sat_conversion,[],[f18755]) ).
cnf(s102,plain,
( spl2_1
| ~ spl2_3
| ~ spl2_7 ),
inference(sat_conversion,[],[f23265]) ).
cnf(s104,plain,
( ~ spl2_3
| ~ spl2_4
| ~ spl2_6
| spl2_7
| spl2_35 ),
inference(rat,[],[s70,s72]) ).
cnf(s128,plain,
spl2_4,
inference(rat,[],[s2,s3]) ).
cnf(s129,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(rat,[],[s1,s3]) ).
cnf(s130,plain,
spl2_1,
inference(rat,[],[s53,s10,s104,s46,s4,s44,s75,s102,s3,s128]) ).
cnf(s132,plain,
~ spl2_2,
inference(rat,[],[s129,s130]) ).
cnf(s134,plain,
spl2_7,
inference(rat,[],[s54,s130,s128,s3,s132]) ).
cnf(s137,plain,
$false,
inference(rat,[],[s7,s134,s132]) ).
fof(f24241,plain,
$false,
inference(avatar_sat_refutation,[],[s137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO061-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n020.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 06:47:50 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.83/2.27 % (3053831)Input is clausal, will run a generic CNF schedule.
% 9.83/2.27 % (3053841)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1878708915:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.83/2.27 % (3053839)lrs+10_1_sil=8000:sp=occurrence:random_seed=2157001883:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.83/2.27 % (3053836)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=3197411429:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.83/2.27 % (3053838)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=38035599:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.83/2.27 % (3053840)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1451760325:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.83/2.27 % (3053842)dis-21_1_sil=8000:lcm=predicate:random_seed=2273766466: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)
% 9.83/2.27 % (3053837)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1401393414:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.83/2.27 % (3053842)Refutation not found, incomplete strategy
% 9.83/2.27 % (3053842)------------------------------
% 9.83/2.27 % (3053842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.83/2.27 % (3053842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.83/2.27 % (3053842)CaDiCaL version: 2.1.3
% 9.83/2.27 % (3053842)Termination reason: Refutation not found, incomplete strategy
% 9.83/2.27 % (3053842)Time elapsed: 0.006 s
% 9.83/2.27 % (3053842)Peak memory usage: 88 MB
% 9.83/2.27 % (3053842)Instructions burned: 8 (million)
% 9.83/2.27 % (3053841)Instruction limit reached!
% 9.83/2.27 % (3053841)------------------------------
% 9.83/2.27 % (3053841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.83/2.27 % (3053841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.83/2.27 % (3053841)CaDiCaL version: 2.1.3
% 9.83/2.27 % (3053841)Termination reason: Instruction limit
% 9.83/2.27 % (3053841)Termination phase: Saturation
% 9.83/2.27 % (3053841)Time elapsed: 0.063 s
% 9.83/2.27 % (3053841)Peak memory usage: 89 MB
% 9.83/2.27 % (3053841)Instructions burned: 180 (million)
% 9.83/2.27 % (3053839)Instruction limit reached!
% 9.83/2.27 % (3053839)------------------------------
% 9.83/2.27 % (3053839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.83/2.27 % (3053839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.83/2.27 % (3053839)CaDiCaL version: 2.1.3
% 9.83/2.27 % (3053839)Termination reason: Instruction limit
% 9.83/2.27 % (3053839)Termination phase: Saturation
% 9.83/2.27 % (3053839)Time elapsed: 0.077 s
% 9.83/2.27 % (3053839)Peak memory usage: 89 MB
% 9.83/2.27 % (3053839)Instructions burned: 108 (million)
% 9.83/2.27 % (3053840)Instruction limit reached!
% 9.83/2.27 % (3053840)------------------------------
% 9.83/2.27 % (3053840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.83/2.27 % (3053840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.83/2.27 % (3053840)CaDiCaL version: 2.1.3
% 9.83/2.27 % (3053840)Termination reason: Instruction limit
% 9.83/2.27 % (3053840)Termination phase: Saturation
% 9.83/2.27 % (3053840)Time elapsed: 0.077 s
% 9.83/2.27 % (3053840)Peak memory usage: 89 MB
% 9.83/2.27 % (3053840)Instructions burned: 114 (million)
% 9.83/2.27 % (3053850)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=1885543551:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 9.83/2.27 % (3053850)Refutation not found, incomplete strategy
% 9.83/2.27 % (3053850)------------------------------
% 9.83/2.27 % (3053850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.83/2.27 % (3053850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.83/2.27 % (3053850)CaDiCaL version: 2.1.3
% 9.83/2.27 % (3053850)Termination reason: Refutation not found, incomplete strategy
% 9.83/2.27 % (3053850)Time elapsed: 0.001 s
% 9.83/2.27 % (3053850)Peak memory usage: 88 MB
% 9.83/2.27 % (3053850)Instructions burned: 1 (million)
% 9.83/2.27 % (3053851)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1397172258: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)
% 21.02/4.01 % (3053852)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3346061241:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 21.02/4.01 % (3053842)------------------------------
% 21.02/4.01 % (3053842)------------------------------
% 21.02/4.01 % (3053850)------------------------------
% 21.02/4.01 % (3053850)------------------------------
% 21.02/4.01 % (3053851)Instruction limit reached!
% 21.02/4.01 % (3053851)------------------------------
% 21.02/4.01 % (3053851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.02/4.01 % (3053851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.02/4.01 % (3053851)CaDiCaL version: 2.1.3
% 21.02/4.01 % (3053851)Termination reason: Instruction limit
% 21.02/4.01 % (3053851)Termination phase: Saturation
% 21.02/4.01 % (3053851)Time elapsed: 0.107 s
% 21.02/4.01 % (3053851)Peak memory usage: 89 MB
% 21.02/4.01 % (3053851)Instructions burned: 191 (million)
% 21.02/4.01 % (3053857)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4121036467:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 21.02/4.01 % (3053852)Instruction limit reached!
% 21.02/4.01 % (3053852)------------------------------
% 21.02/4.01 % (3053852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.02/4.01 % (3053852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.02/4.01 % (3053852)CaDiCaL version: 2.1.3
% 21.02/4.01 % (3053852)Termination reason: Instruction limit
% 21.02/4.01 % (3053852)Termination phase: Saturation
% 21.02/4.01 % (3053852)Time elapsed: 0.138 s
% 21.02/4.01 % (3053852)Peak memory usage: 89 MB
% 21.02/4.01 % (3053852)Instructions burned: 220 (million)
% 21.02/4.01 % (3053856)lrs+10_64_to=lpo:sil=8000:random_seed=2444840873:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 21.02/4.01 % (3053857)Instruction limit reached!
% 21.02/4.01 % (3053857)------------------------------
% 21.02/4.01 % (3053857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.02/4.01 % (3053857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.02/4.01 % (3053857)CaDiCaL version: 2.1.3
% 21.02/4.01 % (3053857)Termination reason: Instruction limit
% 21.02/4.01 % (3053857)Termination phase: Saturation
% 21.02/4.01 % (3053857)Time elapsed: 0.069 s
% 21.02/4.01 % (3053857)Peak memory usage: 90 MB
% 21.02/4.01 % (3053857)Instructions burned: 198 (million)
% 21.02/4.01 % (3053858)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2371199884:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 21.02/4.01 % (3053856)Instruction limit reached!
% 21.02/4.01 % (3053856)------------------------------
% 21.02/4.01 % (3053856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.02/4.01 % (3053856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.02/4.01 % (3053856)CaDiCaL version: 2.1.3
% 21.02/4.01 % (3053856)Termination reason: Instruction limit
% 21.02/4.01 % (3053856)Termination phase: Saturation
% 21.02/4.01 % (3053856)Time elapsed: 0.077 s
% 21.02/4.01 % (3053856)Peak memory usage: 89 MB
% 21.02/4.01 % (3053856)Instructions burned: 126 (million)
% 21.02/4.01 % (3053860)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2957157989:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 21.02/4.01 % (3053862)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=1383554601:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 21.02/4.01 % (3053862)Instruction limit reached!
% 21.02/4.01 % (3053862)------------------------------
% 21.02/4.01 % (3053862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.02/4.01 % (3053862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.02/4.01 % (3053862)CaDiCaL version: 2.1.3
% 21.02/4.01 % (3053862)Termination reason: Instruction limit
% 21.02/4.01 % (3053862)Termination phase: Saturation
% 21.02/4.01 % (3053862)Time elapsed: 0.053 s
% 21.02/4.01 % (3053862)Peak memory usage: 89 MB
% 21.02/4.01 % (3053862)Instructions burned: 106 (million)
% 21.02/4.01 % (3053858)Instruction limit reached!
% 21.02/4.01 % (3053858)------------------------------
% 21.02/4.01 % (3053858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.53/5.48 % (3053858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.53/5.48 % (3053858)CaDiCaL version: 2.1.3
% 32.53/5.48 % (3053858)Termination reason: Instruction limit
% 32.53/5.48 % (3053858)Termination phase: Saturation
% 32.53/5.48 % (3053858)Time elapsed: 0.108 s
% 32.53/5.48 % (3053858)Peak memory usage: 90 MB
% 32.53/5.48 % (3053858)Instructions burned: 158 (million)
% 32.53/5.48 % (3053864)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2515448655:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 32.53/5.48 % (3053864)Refutation not found, incomplete strategy
% 32.53/5.48 % (3053864)------------------------------
% 32.53/5.48 % (3053864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.53/5.48 % (3053864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.53/5.48 % (3053864)CaDiCaL version: 2.1.3
% 32.53/5.48 % (3053864)Termination reason: Refutation not found, incomplete strategy
% 32.53/5.48 % (3053864)Time elapsed: 0.002 s
% 32.53/5.48 % (3053864)Peak memory usage: 88 MB
% 32.53/5.48 % (3053864)Instructions burned: 1 (million)
% 32.53/5.48 % (3053867)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=889350431:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 32.53/5.48 % (3053868)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=759435224:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 32.53/5.48 % (3053867)Instruction limit reached!
% 32.53/5.48 % (3053867)------------------------------
% 32.53/5.48 % (3053867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.53/5.48 % (3053867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.53/5.48 % (3053867)CaDiCaL version: 2.1.3
% 32.53/5.48 % (3053867)Termination reason: Instruction limit
% 32.53/5.48 % (3053867)Termination phase: Saturation
% 32.53/5.48 % (3053867)Time elapsed: 0.144 s
% 32.53/5.48 % (3053867)Peak memory usage: 89 MB
% 32.53/5.48 % (3053867)Instructions burned: 242 (million)
% 32.53/5.48 % (3053864)------------------------------
% 32.53/5.48 % (3053864)------------------------------
% 32.53/5.48 % (3053872)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2892767341:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 32.53/5.48 % (3053873)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2390850028:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 32.53/5.48 % (3053872)Instruction limit reached!
% 32.53/5.48 % (3053872)------------------------------
% 32.53/5.48 % (3053872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.53/5.48 % (3053872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.53/5.48 % (3053872)CaDiCaL version: 2.1.3
% 32.53/5.48 % (3053872)Termination reason: Instruction limit
% 32.53/5.48 % (3053872)Termination phase: Saturation
% 32.53/5.48 % (3053872)Time elapsed: 0.102 s
% 32.53/5.48 % (3053872)Peak memory usage: 89 MB
% 32.53/5.48 % (3053872)Instructions burned: 134 (million)
% 32.53/5.48 % (3053876)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3476928947:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 32.53/5.48 % (3053873)Instruction limit reached!
% 32.53/5.48 % (3053873)------------------------------
% 32.53/5.48 % (3053873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.53/5.48 % (3053873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.53/5.48 % (3053873)CaDiCaL version: 2.1.3
% 32.53/5.48 % (3053873)Termination reason: Instruction limit
% 32.53/5.48 % (3053873)Termination phase: Saturation
% 32.53/5.48 % (3053873)Time elapsed: 0.292 s
% 32.53/5.48 % (3053873)Peak memory usage: 91 MB
% 32.53/5.48 % (3053873)Instructions burned: 500 (million)
% 32.53/5.48 % (3053876)Instruction limit reached!
% 32.53/5.48 % (3053876)------------------------------
% 32.53/5.48 % (3053876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.53/5.48 % (3053876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.53/5.48 % (3053876)CaDiCaL version: 2.1.3
% 32.53/5.48 % (3053876)Termination reason: Instruction limit
% 32.53/5.48 % (3053876)Termination phase: Saturation
% 32.53/5.48 % (3053876)Time elapsed: 0.111 s
% 32.53/5.48 % (3053876)Peak memory usage: 89 MB
% 32.53/5.48 % (3053876)Instructions burned: 192 (million)
% 23.73/7.91 % (3053878)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3687989080:i=264:kws=precedence:fsr=off_2985 on theBenchmark for (2985ds/264Mi)
% 23.73/7.91 % (3053879)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2956676131:cond=on:i=156:bs=on:gtg=exists_all:er=known_2985 on theBenchmark for (2985ds/156Mi)
% 23.73/7.91 % (3053879)Instruction limit reached!
% 23.73/7.91 % (3053879)------------------------------
% 23.73/7.91 % (3053879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.73/7.91 % (3053879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.73/7.91 % (3053879)CaDiCaL version: 2.1.3
% 23.73/7.91 % (3053879)Termination reason: Instruction limit
% 23.73/7.91 % (3053879)Termination phase: Saturation
% 23.73/7.91 % (3053879)Time elapsed: 0.103 s
% 23.73/7.91 % (3053879)Peak memory usage: 89 MB
% 23.73/7.91 % (3053879)Instructions burned: 156 (million)
% 23.73/7.91 % (3053878)Instruction limit reached!
% 23.73/7.91 % (3053878)------------------------------
% 23.73/7.91 % (3053878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.73/7.91 % (3053878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.73/7.91 % (3053878)CaDiCaL version: 2.1.3
% 23.73/7.91 % (3053878)Termination reason: Instruction limit
% 23.73/7.91 % (3053878)Termination phase: Saturation
% 23.73/7.91 % (3053878)Time elapsed: 0.159 s
% 23.73/7.91 % (3053878)Peak memory usage: 91 MB
% 23.73/7.91 % (3053878)Instructions burned: 264 (million)
% 23.73/7.91 % (3053882)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=2316940463:i=3256:kws=precedence:bd=preordered:av=off_2983 on theBenchmark for (2983ds/3256Mi)
% 23.73/7.91 % (3053883)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=1642261502:i=537:av=off:ss=included_2983 on theBenchmark for (2983ds/537Mi)
% 23.73/7.91 % (3053883)Refutation not found, incomplete strategy
% 23.73/7.91 % (3053883)------------------------------
% 23.73/7.91 % (3053883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.73/7.91 % (3053883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.73/7.91 % (3053883)CaDiCaL version: 2.1.3
% 23.73/7.91 % (3053883)Termination reason: Refutation not found, incomplete strategy
% 23.73/7.91 % (3053883)Time elapsed: 0.001 s
% 23.73/7.91 % (3053883)Peak memory usage: 87 MB
% 23.73/7.91 % (3053883)------------------------------
% 23.73/7.91 % (3053883)------------------------------
% 23.73/7.91 % (3053886)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=218799399:i=180:bd=preordered:av=off_2979 on theBenchmark for (2979ds/180Mi)
% 23.73/7.91 % (3053886)Instruction limit reached!
% 23.73/7.91 % (3053886)------------------------------
% 23.73/7.91 % (3053886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.73/7.91 % (3053886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.73/7.91 % (3053886)CaDiCaL version: 2.1.3
% 23.73/7.91 % (3053886)Termination reason: Instruction limit
% 23.73/7.91 % (3053886)Termination phase: Saturation
% 23.73/7.91 % (3053886)Time elapsed: 0.102 s
% 23.73/7.91 % (3053886)Peak memory usage: 89 MB
% 23.73/7.91 % (3053886)Instructions burned: 181 (million)
% 23.73/7.91 % (3053888)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=1115564437:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2977 on theBenchmark for (2977ds/10307Mi)
% 23.73/7.91 % (3053860)Instruction limit reached!
% 23.73/7.91 % (3053860)------------------------------
% 23.73/7.91 % (3053860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.73/7.91 % (3053860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.73/7.91 % (3053860)CaDiCaL version: 2.1.3
% 23.73/7.91 % (3053860)Termination reason: Instruction limit
% 23.73/7.91 % (3053860)Termination phase: Saturation
% 23.73/7.91 % (3053860)Time elapsed: 2.212 s
% 23.73/7.91 % (3053860)Peak memory usage: 148 MB
% 23.73/7.91 % (3053860)Instructions burned: 3394 (million)
% 23.73/7.91 % (3053890)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=563235359:i=412:gtgl=4:gtg=exists_all_2971 on theBenchmark for (2971ds/412Mi)
% 23.73/7.91 % (3053890)Instruction limit reached!
% 23.73/7.91 % (3053890)------------------------------
% 23.73/7.91 % (3053890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.73/7.91 % (3053890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.73/7.91 % (3053890)CaDiCaL version: 2.1.3
% 23.73/7.91 % (3053890)Termination reason: Instruction limit
% 23.73/7.91 % (3053890)Termination phase: Saturation
% 23.73/7.91 % (3053890)Time elapsed: 0.188 s
% 23.73/7.91 % (3053890)Peak memory usage: 90 MB
% 23.73/7.91 % (3053890)Instructions burned: 413 (million)
% 23.73/7.91 % (3053892)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=28313085:s2pl=no:i=8478:s2at=4:nm=6_2968 on theBenchmark for (2968ds/8478Mi)
% 23.73/7.91 % (3053882)Instruction limit reached!
% 23.73/7.91 % (3053882)------------------------------
% 23.73/7.91 % (3053882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.73/7.91 % (3053882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.73/7.91 % (3053882)CaDiCaL version: 2.1.3
% 23.73/7.91 % (3053882)Termination reason: Instruction limit
% 23.73/7.91 % (3053882)Termination phase: Saturation
% 23.73/7.91 % (3053882)Time elapsed: 1.858 s
% 23.73/7.91 % (3053882)Peak memory usage: 142 MB
% 23.73/7.91 % (3053882)Instructions burned: 3256 (million)
% 23.73/7.91 % (3053894)ott-1011_2_sil=32000:bsd=on:sp=reverse_frequency:erd=off:urr=on:rnwc=on:gs=on:s2agt=70:updr=off:lftc=20:random_seed=4089654322:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2963 on theBenchmark for (2963ds/303Mi)
% 23.73/7.91 % (3053894)Instruction limit reached!
% 23.73/7.91 % (3053894)------------------------------
% 23.73/7.91 % (3053894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.73/7.91 % (3053894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.73/7.91 % (3053894)CaDiCaL version: 2.1.3
% 23.73/7.91 % (3053894)Termination reason: Instruction limit
% 23.73/7.91 % (3053894)Termination phase: Saturation
% 23.73/7.91 % (3053894)Time elapsed: 0.129 s
% 23.73/7.91 % (3053894)Peak memory usage: 91 MB
% 23.73/7.91 % (3053894)Instructions burned: 305 (million)
% 23.73/7.91 % (3053896)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=4080385171:st=4:i=720:sd=3:fsr=off:ss=axioms_2960 on theBenchmark for (2960ds/720Mi)
% 23.73/7.91 % (3053868)Instruction limit reached!
% 23.73/7.91 % (3053868)------------------------------
% 23.73/7.91 % (3053868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.73/7.91 % (3053868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.73/7.91 % (3053868)CaDiCaL version: 2.1.3
% 23.73/7.91 % (3053868)Termination reason: Instruction limit
% 23.73/7.91 % (3053868)Termination phase: Saturation
% 23.73/7.91 % (3053868)Time elapsed: 3.250 s
% 23.73/7.91 % (3053868)Peak memory usage: 159 MB
% 23.73/7.91 % (3053868)Instructions burned: 5210 (million)
% 23.73/7.91 % (3053898)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=2036298396:i=598:bs=on:bd=preordered:av=off:ss=axioms_2958 on theBenchmark for (2958ds/598Mi)
% 23.73/7.91 % (3053896)Instruction limit reached!
% 23.73/7.91 % (3053896)------------------------------
% 23.73/7.91 % (3053896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.73/7.91 % (3053896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.73/7.91 % (3053896)CaDiCaL version: 2.1.3
% 23.73/7.91 % (3053896)Termination reason: Instruction limit
% 23.73/7.91 % (3053896)Termination phase: Saturation
% 23.73/7.91 % (3053896)Time elapsed: 0.399 s
% 23.73/7.91 % (3053896)Peak memory usage: 92 MB
% 23.73/7.91 % (3053896)Instructions burned: 720 (million)
% 23.73/7.91 % (3053898)Instruction limit reached!
% 23.73/7.91 % (3053898)------------------------------
% 23.73/7.91 % (3053898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.73/7.91 % (3053898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.73/7.91 % (3053898)CaDiCaL version: 2.1.3
% 23.73/7.91 % (3053898)Termination reason: Instruction limit
% 23.73/7.91 % (3053898)Termination phase: Saturation
% 23.73/7.91 % (3053898)Time elapsed: 0.265 s
% 23.73/7.91 % (3053898)Peak memory usage: 89 MB
% 23.73/7.91 % (3053898)Instructions burned: 599 (million)
% 23.73/7.91 % (3053900)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=4009696832:i=2989:sd=3:ss=axioms:sgt=60_2955 on theBenchmark for (2955ds/2989Mi)
% 23.73/7.91 % (3053901)dis+1011_1_ncem=casc2026/models/loop5.pt:sil=8000:tgt=full:npcc=on:bsd=on:sp=const_min:spb=goal_then_units:lcm=predicate:urr=ec_only:s2agt=16:random_seed=1529207776:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2954 on theBenchmark for (2954ds/1997Mi)
% 23.73/7.91 % (3053901)Instruction limit reached!
% 23.73/7.91 % (3053901)------------------------------
% 23.73/7.91 % (3053901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.73/7.91 % (3053901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.73/7.91 % (3053901)CaDiCaL version: 2.1.3
% 23.73/7.91 % (3053901)Termination reason: Instruction limit
% 23.73/7.91 % (3053901)Termination phase: Saturation
% 23.73/7.91 % (3053901)Time elapsed: 1.357 s
% 23.73/7.91 % (3053901)Peak memory usage: 136 MB
% 23.73/7.91 % (3053901)Instructions burned: 1997 (million)
% 23.73/7.91 % (3053904)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:drc=off:sp=unary_frequency:urr=ec_only:fd=preordered:random_seed=529251170:i=2088:bd=preordered:av=off_2939 on theBenchmark for (2939ds/2088Mi)
% 23.73/7.91 % (3053900)Instruction limit reached!
% 23.73/7.91 % (3053900)------------------------------
% 23.73/7.91 % (3053900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.73/7.91 % (3053900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.73/7.91 % (3053900)CaDiCaL version: 2.1.3
% 23.73/7.91 % (3053900)Termination reason: Instruction limit
% 23.73/7.91 % (3053900)Termination phase: Saturation
% 23.73/7.91 % (3053900)Time elapsed: 2.142 s
% 23.73/7.91 % (3053900)Peak memory usage: 142 MB
% 23.73/7.91 % (3053900)Instructions burned: 2990 (million)
% 23.73/7.91 % (3053888)First to succeed.
% 23.73/7.91 % (3053888)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3053831"
% 23.73/7.91 % (3053906)lrs+1010_64:1_anc=all:to=lpo:sil=16000:fde=none:sp=const_frequency:urr=full:sac=on:random_seed=3122063687:i=1098:nicw=on_2932 on theBenchmark for (2932ds/1098Mi)
% 23.73/7.91 % (3053888)Refutation found. Thanks to Tanya!
% 23.73/7.91 % SZS status Unsatisfiable for theBenchmark
% 23.73/7.91 % SZS output start Proof for theBenchmark
% See solution above
% 50.59/8.11 % (3053888)------------------------------
% 50.59/8.11 % (3053888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.59/8.11 % (3053888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.59/8.11 % (3053888)CaDiCaL version: 2.1.3
% 50.59/8.11 % (3053888)Termination reason: Refutation
% 50.59/8.11 % (3053888)Time elapsed: 4.372 s
% 50.59/8.11 % (3053888)Peak memory usage: 149 MB
% 50.59/8.11 % (3053888)Instructions burned: 7076 (million)
% 50.59/8.11 % (3053888)------------------------------
% 50.59/8.11 % (3053888)------------------------------
% 50.59/8.11 % (3053831)Success in time 7.07 s
% 50.59/8.11 % Vampire exiting
%------------------------------------------------------------------------------