%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO062-2 : 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 : n012.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 09:51:24 AM UTC 2026
% Result : Unsatisfiable 4.53s 1.25s
% Output : Refutation 5.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 19
% Syntax : Number of formulae : 104 ( 40 unt; 6 def)
% Number of atoms : 214 ( 43 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 212 ( 102 ~; 106 |; 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 : 11 ( 11 usr; 8 con; 0-5 aty)
% Number of variables : 167 ( 0 sgn 167 !; 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(f12,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension3) ).
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,axiom,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f21,negated_conjecture,
v != insertion(u,w,u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_equals_insertion) ).
fof(f22,plain,
v != extension(extension(w,u,lower_dimension_point_1,lower_dimension_point_2),u,u,v),
inference(definition_unfolding,[],[f21,f19]) ).
fof(f23,definition,
sF0 = extension(w,u,lower_dimension_point_1,lower_dimension_point_2),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f24,plain,
extension(w,u,lower_dimension_point_1,lower_dimension_point_2) = sF0,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF1 = extension(sF0,u,u,v),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f26,plain,
extension(sF0,u,u,v) = sF1,
inference(reorient_equations,[],[f25]) ).
fof(f27,plain,
v != sF1,
inference(definition_folding,[],[f22,f26,f24]) ).
fof(f29,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f5,f3]) ).
fof(f31,plain,
equidistant(u,sF0,lower_dimension_point_1,lower_dimension_point_2),
inference(superposition,[],[f5,f24]) ).
fof(f32,plain,
between(w,u,sF0),
inference(superposition,[],[f4,f24]) ).
fof(f34,plain,
! [X0,X1] : between(X1,X0,X0),
inference(superposition,[],[f4,f29]) ).
fof(f35,plain,
! [X2,X3,X0,X1] :
( ~ between(X3,X0,X2)
| ~ between(X0,X1,X2)
| inner_pasch(X3,X0,X2,X1,X0) = X0 ),
inference(resolution,[],[f8,f7]) ).
fof(f39,plain,
! [X0] :
( ~ between(u,X0,sF0)
| u = inner_pasch(w,u,sF0,X0,u) ),
inference(resolution,[],[f35,f32]) ).
fof(f40,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(f42,plain,
! [X0] :
( ~ between(X0,u,w)
| u = inner_pasch(u,v,w,u,X0) ),
inference(resolution,[],[f40,f20]) ).
fof(f50,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(f51,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X1,X0) ),
inference(resolution,[],[f2,f1]) ).
fof(f53,plain,
! [X0,X1] :
( ~ equidistant(u,sF0,X0,X1)
| equidistant(X0,X1,lower_dimension_point_1,lower_dimension_point_2) ),
inference(resolution,[],[f2,f31]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| inner_pasch(X1,X2,X2,X1,X0) = X1 ),
inference(resolution,[],[f34,f40]) ).
fof(f59,plain,
u = inner_pasch(w,u,sF0,sF0,u),
inference(resolution,[],[f34,f39]) ).
fof(f60,plain,
( between(sF0,u,w)
| ~ between(u,sF0,sF0)
| ~ between(w,u,sF0) ),
inference(superposition,[],[f9,f59]) ).
fof(f62,plain,
( between(sF0,u,w)
| ~ between(w,u,sF0) ),
inference(forward_subsumption_resolution,[],[f60,f34]) ).
fof(f63,plain,
between(sF0,u,w),
inference(forward_subsumption_resolution,[],[f62,f32]) ).
fof(f64,plain,
u = inner_pasch(u,v,w,u,sF0),
inference(resolution,[],[f63,f42]) ).
fof(f67,plain,
! [X0,X1] : equidistant(X0,X1,X0,X1),
inference(resolution,[],[f50,f5]) ).
fof(f68,plain,
! [X2,X3,X0,X1] : equidistant(extension(X0,X1,X2,X3),X1,X2,X3),
inference(resolution,[],[f50,f1]) ).
fof(f81,plain,
( between(v,u,sF0)
| ~ between(sF0,u,w)
| ~ between(u,v,w) ),
inference(superposition,[],[f8,f64]) ).
fof(f82,plain,
( between(v,u,sF0)
| ~ between(u,v,w) ),
inference(forward_subsumption_resolution,[],[f81,f63]) ).
fof(f83,plain,
between(v,u,sF0),
inference(forward_subsumption_resolution,[],[f82,f20]) ).
fof(f85,plain,
! [X0] :
( ~ between(u,X0,sF0)
| u = inner_pasch(v,u,sF0,X0,u) ),
inference(resolution,[],[f83,f35]) ).
fof(f86,plain,
u = inner_pasch(v,u,sF0,sF0,u),
inference(resolution,[],[f85,f34]) ).
fof(f106,plain,
! [X2,X3,X0,X1] : equidistant(X0,X1,extension(X2,X3,X0,X1),X3),
inference(resolution,[],[f51,f5]) ).
fof(f112,plain,
! [X2,X3,X0,X1] : equidistant(X0,X1,X2,extension(X3,X2,X0,X1)),
inference(resolution,[],[f51,f68]) ).
fof(f115,plain,
! [X2,X3,X0,X1] : equidistant(extension(X0,X1,X2,X3),X1,X3,X2),
inference(resolution,[],[f106,f51]) ).
fof(f135,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,f67]) ).
fof(f146,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,[],[f135,f67]) ).
fof(f152,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,[],[f146,f67]) ).
fof(f154,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,[],[f152,f5]) ).
fof(f171,definition,
( spl2_3
<=> between(sF0,u,v) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f172,plain,
( between(sF0,u,v)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f173,plain,
( ~ between(sF0,u,v)
| spl2_3 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f175,definition,
( spl2_4
<=> u = sF0 ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
fof(f176,plain,
( u != sF0
| spl2_4 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f177,plain,
( u = sF0
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f179,plain,
! [X2,X3,X0,X1] :
( equidistant(extension(X0,X1,X1,X2),X3,X2,X3)
| X0 = X1
| ~ between(X0,X1,X2) ),
inference(resolution,[],[f154,f4]) ).
fof(f183,plain,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| X0 = X1
| extension(X0,X1,X1,X2) = X2 ),
inference(resolution,[],[f179,f3]) ).
fof(f432,plain,
( between(sF0,u,v)
| ~ between(u,sF0,sF0)
| ~ between(v,u,sF0) ),
inference(superposition,[],[f9,f86]) ).
fof(f434,plain,
( ~ between(u,sF0,sF0)
| ~ between(v,u,sF0)
| spl2_3 ),
inference(forward_subsumption_resolution,[],[f432,f173]) ).
fof(f435,plain,
( ~ between(v,u,sF0)
| spl2_3 ),
inference(forward_subsumption_resolution,[],[f434,f34]) ).
fof(f436,plain,
( $false
| spl2_3 ),
inference(forward_subsumption_resolution,[],[f435,f83]) ).
fof(f437,plain,
spl2_3,
inference(avatar_contradiction_clause,[],[f436]) ).
fof(f473,plain,
( u = sF0
| v = extension(sF0,u,u,v)
| ~ spl2_3 ),
inference(resolution,[],[f172,f183]) ).
fof(f501,plain,
! [X2,X3,X0,X1] : inner_pasch(X0,extension(X1,X0,X2,X3),extension(X1,X0,X2,X3),X0,X1) = X0,
inference(resolution,[],[f57,f4]) ).
fof(f595,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,f501]) ).
fof(f596,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,[],[f595,f4]) ).
fof(f606,plain,
! [X2,X3,X0,X1] : between(extension(X1,X0,X2,X3),X0,X1),
inference(forward_subsumption_resolution,[],[f596,f34]) ).
fof(f649,plain,
! [X0,X1] : equidistant(X0,extension(X1,X0,u,sF0),lower_dimension_point_1,lower_dimension_point_2),
inference(resolution,[],[f112,f53]) ).
fof(f666,plain,
( ! [X0,X1] : equidistant(X0,extension(X1,X0,sF0,sF0),lower_dimension_point_1,lower_dimension_point_2)
| ~ spl2_4 ),
inference(forward_demodulation,[],[f649,f177]) ).
fof(f667,plain,
( ! [X0] : equidistant(X0,X0,lower_dimension_point_1,lower_dimension_point_2)
| ~ spl2_4 ),
inference(forward_demodulation,[],[f666,f29]) ).
fof(f779,plain,
( ! [X0,X1] :
( ~ between(X0,lower_dimension_point_1,lower_dimension_point_1)
| ~ between(X0,lower_dimension_point_1,lower_dimension_point_2)
| lower_dimension_point_1 = X0
| equidistant(lower_dimension_point_1,X1,lower_dimension_point_2,X1) )
| ~ spl2_4 ),
inference(resolution,[],[f667,f152]) ).
fof(f780,plain,
( ! [X0,X1] :
( ~ between(X0,lower_dimension_point_1,lower_dimension_point_2)
| lower_dimension_point_1 = X0
| equidistant(lower_dimension_point_1,X1,lower_dimension_point_2,X1) )
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f779,f34]) ).
fof(f783,definition,
( spl2_16
<=> ! [X1] : equidistant(lower_dimension_point_1,X1,lower_dimension_point_2,X1) ),
introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition]) ).
fof(f784,plain,
( ! [X1] : equidistant(lower_dimension_point_1,X1,lower_dimension_point_2,X1)
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f786,definition,
( spl2_17
<=> ! [X0] :
( ~ between(X0,lower_dimension_point_1,lower_dimension_point_2)
| lower_dimension_point_1 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl2_17])],[avatar_definition]) ).
fof(f787,plain,
( ! [X0] :
( ~ between(X0,lower_dimension_point_1,lower_dimension_point_2)
| lower_dimension_point_1 = X0 )
| ~ spl2_17 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f788,plain,
( spl2_16
| spl2_17
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f780,f175,f786,f783]) ).
fof(f789,plain,
( v = extension(sF0,u,u,v)
| ~ spl2_3
| spl2_4 ),
inference(forward_subsumption_resolution,[],[f473,f176]) ).
fof(f796,plain,
( v = sF1
| ~ spl2_3
| spl2_4 ),
inference(forward_demodulation,[],[f789,f26]) ).
fof(f799,plain,
( $false
| ~ spl2_3
| spl2_4 ),
inference(forward_subsumption_resolution,[],[f796,f27]) ).
fof(f800,plain,
( ~ spl2_3
| spl2_4 ),
inference(avatar_contradiction_clause,[],[f799]) ).
fof(f930,plain,
( lower_dimension_point_1 = lower_dimension_point_2
| ~ spl2_16 ),
inference(resolution,[],[f784,f3]) ).
fof(f1092,plain,
( ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1)
| ~ spl2_16 ),
inference(superposition,[],[f12,f930]) ).
fof(f1097,plain,
( $false
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f1092,f34]) ).
fof(f1098,plain,
~ spl2_16,
inference(avatar_contradiction_clause,[],[f1097]) ).
fof(f1103,plain,
( ! [X0,X1] : lower_dimension_point_1 = extension(lower_dimension_point_2,lower_dimension_point_1,X0,X1)
| ~ spl2_17 ),
inference(resolution,[],[f787,f606]) ).
fof(f1107,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(lower_dimension_point_1,lower_dimension_point_1,X2,X3)
| equidistant(X2,X3,X0,X1) )
| ~ spl2_17 ),
inference(superposition,[],[f50,f1103]) ).
fof(f1111,plain,
( ! [X0,X1] : equidistant(lower_dimension_point_1,lower_dimension_point_1,X1,X0)
| ~ spl2_17 ),
inference(superposition,[],[f115,f1103]) ).
fof(f1141,plain,
( ! [X2,X3,X0,X1] : equidistant(X2,X3,X0,X1)
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f1107,f1111]) ).
fof(f1143,plain,
( ! [X0,X1] : X0 = X1
| ~ spl2_17 ),
inference(resolution,[],[f1141,f3]) ).
fof(f1216,plain,
( ! [X0] : ~ between(lower_dimension_point_3,X0,lower_dimension_point_2)
| ~ spl2_17 ),
inference(superposition,[],[f12,f1143]) ).
fof(f1421,plain,
( ! [X2,X0,X1] : between(X0,X2,X1)
| ~ spl2_17 ),
inference(superposition,[],[f606,f1143]) ).
fof(f1703,plain,
( $false
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f1216,f1421]) ).
fof(f1704,plain,
~ spl2_17,
inference(avatar_contradiction_clause,[],[f1703]) ).
cnf(s12,plain,
spl2_3,
inference(sat_conversion,[],[f437]) ).
cnf(s13,plain,
( ~ spl2_4
| spl2_16
| spl2_17 ),
inference(sat_conversion,[],[f788]) ).
cnf(s15,plain,
( ~ spl2_3
| spl2_4 ),
inference(sat_conversion,[],[f800]) ).
cnf(s22,plain,
~ spl2_16,
inference(sat_conversion,[],[f1098]) ).
cnf(s33,plain,
~ spl2_17,
inference(sat_conversion,[],[f1704]) ).
cnf(s36,plain,
~ spl2_4,
inference(rat,[],[s13,s33,s22]) ).
cnf(s37,plain,
~ spl2_3,
inference(rat,[],[s15,s36]) ).
cnf(s38,plain,
$false,
inference(rat,[],[s12,s37]) ).
fof(f1709,plain,
$false,
inference(avatar_sat_refutation,[],[s38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO062-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.30 % Computer : n012.cluster.edu
% 0.05/0.30 % Model : x86_64 x86_64
% 0.05/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.30 % Memory : 8046.5625MB
% 0.05/0.30 % OS : Linux 6.8.0-71-generic
% 0.05/0.30 % CPULimit : 300
% 0.05/0.30 % WCLimit : 300
% 0.05/0.30 % DateTime : Sun Sep 27 06:46:19 UTC 2026
% 0.05/0.31 % CPUTime :
% 0.05/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.33 Running first-order theorem proving
% 0.08/0.33 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
% 4.53/1.25 % (2018372)Input is clausal, will run a generic CNF schedule.
% 4.53/1.25 % (2018379)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3098139319:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.53/1.25 % (2018381)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1538726504:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.53/1.25 % (2018383)dis-21_1_sil=8000:lcm=predicate:random_seed=513197328: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)
% 4.53/1.25 % (2018377)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=2122123051:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.53/1.25 % (2018378)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3022834145:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.53/1.25 % (2018382)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2943859624:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.53/1.25 % (2018380)lrs+10_1_sil=8000:sp=occurrence:random_seed=4036139974:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.53/1.25 % (2018381)Instruction limit reached!
% 4.53/1.25 % (2018381)------------------------------
% 4.53/1.25 % (2018381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.25 % (2018381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.25 % (2018381)CaDiCaL version: 2.1.3
% 4.53/1.25 % (2018381)Termination reason: Instruction limit
% 4.53/1.25 % (2018381)Termination phase: Saturation
% 4.53/1.25 % (2018381)Time elapsed: 0.037 s
% 4.53/1.25 % (2018381)Peak memory usage: 88 MB
% 4.53/1.25 % (2018381)Instructions burned: 114 (million)
% 4.53/1.25 % (2018380)Instruction limit reached!
% 4.53/1.25 % (2018380)------------------------------
% 4.53/1.25 % (2018380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.25 % (2018380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.25 % (2018380)CaDiCaL version: 2.1.3
% 4.53/1.25 % (2018380)Termination reason: Instruction limit
% 4.53/1.25 % (2018380)Termination phase: Saturation
% 4.53/1.25 % (2018380)Time elapsed: 0.037 s
% 4.53/1.25 % (2018380)Peak memory usage: 88 MB
% 4.53/1.25 % (2018380)Instructions burned: 109 (million)
% 4.53/1.25 % (2018383)Instruction limit reached!
% 4.53/1.25 % (2018383)------------------------------
% 4.53/1.25 % (2018383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.25 % (2018383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.25 % (2018383)CaDiCaL version: 2.1.3
% 4.53/1.25 % (2018383)Termination reason: Instruction limit
% 4.53/1.25 % (2018383)Termination phase: Saturation
% 4.53/1.25 % (2018383)Time elapsed: 0.037 s
% 4.53/1.25 % (2018383)Peak memory usage: 88 MB
% 4.53/1.25 % (2018383)Instructions burned: 119 (million)
% 4.53/1.25 % (2018382)Instruction limit reached!
% 4.53/1.25 % (2018382)------------------------------
% 4.53/1.25 % (2018382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.25 % (2018382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.25 % (2018382)CaDiCaL version: 2.1.3
% 4.53/1.25 % (2018382)Termination reason: Instruction limit
% 4.53/1.25 % (2018382)Termination phase: Saturation
% 4.53/1.25 % (2018382)Time elapsed: 0.056 s
% 4.53/1.25 % (2018382)Peak memory usage: 88 MB
% 4.53/1.25 % (2018382)Instructions burned: 181 (million)
% 4.53/1.25 % (2018392)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=174082841:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 4.53/1.25 % (2018393)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3544900567:st=4:i=219:sd=3:ss=axioms_2998 on theBenchmark for (2998ds/219Mi)
% 4.53/1.25 % (2018391)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=150071410:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 4.53/1.25 % (2018393)Refutation not found, incomplete strategy
% 4.53/1.25 % (2018393)------------------------------
% 4.53/1.25 % (2018393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.25 % (2018391)Refutation not found, incomplete strategy
% 4.53/1.25 % (2018391)------------------------------
% 4.53/1.25 % (2018391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.25 % (2018393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.25 % (2018391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.25 % (2018391)CaDiCaL version: 2.1.3
% 4.53/1.25 % (2018393)CaDiCaL version: 2.1.3
% 4.53/1.25 % (2018391)Termination reason: Refutation not found, incomplete strategy
% 4.53/1.25 % (2018391)Time elapsed: 0.001 s
% 4.53/1.25 % (2018393)Termination reason: Refutation not found, incomplete strategy
% 4.53/1.25 % (2018393)Time elapsed: 0.001 s
% 4.53/1.25 % (2018393)Peak memory usage: 87 MB
% 4.53/1.25 % (2018391)Peak memory usage: 87 MB
% 4.53/1.25 % (2018391)Instructions burned: 1 (million)
% 4.53/1.25 % (2018394)lrs+10_64_to=lpo:sil=8000:random_seed=1346370402:i=126:bd=preordered_2998 on theBenchmark for (2998ds/126Mi)
% 4.53/1.25 % (2018392)Instruction limit reached!
% 4.53/1.25 % (2018392)------------------------------
% 4.53/1.25 % (2018392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.25 % (2018392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.25 % (2018392)CaDiCaL version: 2.1.3
% 4.53/1.25 % (2018392)Termination reason: Instruction limit
% 4.53/1.25 % (2018392)Termination phase: Saturation
% 4.53/1.25 % (2018392)Time elapsed: 0.061 s
% 4.53/1.25 % (2018392)Peak memory usage: 89 MB
% 4.53/1.25 % (2018392)Instructions burned: 190 (million)
% 4.53/1.25 % (2018394)Instruction limit reached!
% 4.53/1.25 % (2018394)------------------------------
% 4.53/1.25 % (2018394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.25 % (2018394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.25 % (2018394)CaDiCaL version: 2.1.3
% 4.53/1.25 % (2018394)Termination reason: Instruction limit
% 4.53/1.25 % (2018394)Termination phase: Saturation
% 4.53/1.25 % (2018394)Time elapsed: 0.045 s
% 4.53/1.25 % (2018394)Peak memory usage: 89 MB
% 4.53/1.25 % (2018394)Instructions burned: 129 (million)
% 4.53/1.25 % (2018393)------------------------------
% 4.53/1.25 % (2018393)------------------------------
% 4.53/1.25 % (2018391)------------------------------
% 4.53/1.25 % (2018391)------------------------------
% 4.53/1.25 % (2018399)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=679398494:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 4.53/1.25 % (2018400)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=995254100:i=157:gtg=all_2996 on theBenchmark for (2996ds/157Mi)
% 4.53/1.25 % (2018400)Instruction limit reached!
% 4.53/1.25 % (2018400)------------------------------
% 4.53/1.25 % (2018400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.25 % (2018400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.25 % (2018400)CaDiCaL version: 2.1.3
% 4.53/1.25 % (2018400)Termination reason: Instruction limit
% 4.53/1.25 % (2018400)Termination phase: Saturation
% 4.53/1.25 % (2018400)Time elapsed: 0.057 s
% 4.53/1.25 % (2018400)Peak memory usage: 90 MB
% 4.53/1.25 % (2018400)Instructions burned: 157 (million)
% 4.53/1.25 % (2018399)Instruction limit reached!
% 4.53/1.25 % (2018399)------------------------------
% 4.53/1.25 % (2018399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.25 % (2018399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.25 % (2018399)CaDiCaL version: 2.1.3
% 4.53/1.25 % (2018399)Termination reason: Instruction limit
% 4.53/1.25 % (2018399)Termination phase: Saturation
% 4.53/1.25 % (2018399)Time elapsed: 0.068 s
% 4.53/1.25 % (2018399)Peak memory usage: 89 MB
% 4.53/1.25 % (2018399)Instructions burned: 195 (million)
% 4.53/1.25 % (2018377)First to succeed.
% 4.53/1.25 % (2018377)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2018372"
% 4.53/1.25 % (2018401)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4112981100:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 4.53/1.25 % (2018402)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=422824307:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 4.53/1.25 % (2018402)Instruction limit reached!
% 4.53/1.25 % (2018402)------------------------------
% 4.53/1.25 % (2018402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.25 % (2018402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.25 % (2018402)CaDiCaL version: 2.1.3
% 4.53/1.25 % (2018402)Termination reason: Instruction limit
% 4.53/1.25 % (2018402)Termination phase: Saturation
% 4.53/1.25 % (2018402)Time elapsed: 0.032 s
% 4.53/1.25 % (2018402)Peak memory usage: 88 MB
% 4.53/1.25 % (2018402)Instructions burned: 109 (million)
% 4.53/1.25 % (2018405)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2972004400:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 4.53/1.25 % (2018406)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1644267496:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2994 on theBenchmark for (2994ds/242Mi)
% 4.53/1.25 % (2018405)Refutation not found, incomplete strategy
% 4.53/1.25 % (2018405)------------------------------
% 4.53/1.25 % (2018405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.25 % (2018405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.25 % (2018405)CaDiCaL version: 2.1.3
% 4.53/1.25 % (2018405)Termination reason: Refutation not found, incomplete strategy
% 4.53/1.25 % (2018405)Time elapsed: 0.001 s
% 4.53/1.25 % (2018405)Peak memory usage: 87 MB
% 4.53/1.25 % (2018405)Instructions burned: 1 (million)
% 4.53/1.25 % (2018377)Refutation found. Thanks to Tanya!
% 4.53/1.25 % SZS status Unsatisfiable for theBenchmark
% 4.53/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 5.27/1.35 % (2018377)------------------------------
% 5.27/1.35 % (2018377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.35 % (2018377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.35 % (2018377)CaDiCaL version: 2.1.3
% 5.27/1.35 % (2018377)Termination reason: Refutation
% 5.27/1.35 % (2018377)Time elapsed: 0.422 s
% 5.27/1.35 % (2018377)Peak memory usage: 128 MB
% 5.27/1.35 % (2018377)Instructions burned: 1118 (million)
% 5.27/1.35 % (2018377)------------------------------
% 5.27/1.35 % (2018377)------------------------------
% 5.27/1.35 % (2018372)Success in time 0.722 s
% 5.27/1.35 % Vampire exiting
%------------------------------------------------------------------------------