%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO063-2 : 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 : n004.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 6.46s 1.80s
% Output : Refutation 8.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 21
% Syntax : Number of formulae : 99 ( 42 unt; 8 def)
% Number of atoms : 198 ( 35 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 193 ( 94 ~; 94 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-4 aty)
% Number of functors : 15 ( 15 usr; 12 con; 0-5 aty)
% Number of variables : 160 ( 0 sgn 160 !; 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,
equidistant(w,x,y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_to_x_equals_y_to_z) ).
fof(f21,negated_conjecture,
insertion(u,v,w,x) != insertion(u,v,y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equality_of_insertions) ).
fof(f22,plain,
extension(extension(v,u,lower_dimension_point_1,lower_dimension_point_2),u,w,x) != extension(extension(v,u,lower_dimension_point_1,lower_dimension_point_2),u,y,z),
inference(definition_unfolding,[],[f21,f19,f19]) ).
fof(f23,definition,
sF0 = extension(v,u,lower_dimension_point_1,lower_dimension_point_2),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f24,plain,
extension(v,u,lower_dimension_point_1,lower_dimension_point_2) = sF0,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF1 = extension(sF0,u,w,x),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f26,plain,
extension(sF0,u,w,x) = sF1,
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF2 = extension(sF0,u,y,z),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f28,plain,
extension(sF0,u,y,z) = sF2,
inference(reorient_equations,[],[f27]) ).
fof(f29,plain,
sF1 != sF2,
inference(definition_folding,[],[f22,f28,f24,f26,f24]) ).
fof(f31,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f5,f3]) ).
fof(f33,plain,
equidistant(u,sF2,y,z),
inference(superposition,[],[f5,f28]) ).
fof(f34,plain,
equidistant(u,sF0,lower_dimension_point_1,lower_dimension_point_2),
inference(superposition,[],[f5,f24]) ).
fof(f36,plain,
between(sF0,u,sF1),
inference(superposition,[],[f4,f26]) ).
fof(f37,plain,
between(sF0,u,sF2),
inference(superposition,[],[f4,f28]) ).
fof(f39,plain,
! [X0,X1] : between(X1,X0,X0),
inference(superposition,[],[f4,f31]) ).
fof(f41,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X1,X0) ),
inference(resolution,[],[f2,f1]) ).
fof(f42,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(f43,plain,
! [X0,X1] :
( ~ equidistant(u,sF0,X0,X1)
| equidistant(X0,X1,lower_dimension_point_1,lower_dimension_point_2) ),
inference(resolution,[],[f2,f34]) ).
fof(f49,plain,
! [X0,X1] : equidistant(X0,X1,X0,X1),
inference(resolution,[],[f41,f1]) ).
fof(f50,plain,
! [X2,X3,X0,X1] : equidistant(X0,X1,extension(X2,X3,X0,X1),X3),
inference(resolution,[],[f41,f5]) ).
fof(f54,plain,
equidistant(y,z,sF2,u),
inference(resolution,[],[f41,f33]) ).
fof(f73,plain,
! [X2,X3,X0,X1] : equidistant(extension(X0,X1,X2,X3),X1,X2,X3),
inference(resolution,[],[f42,f1]) ).
fof(f81,plain,
! [X2,X3,X0,X1] : equidistant(X0,X1,X2,extension(X3,X2,X0,X1)),
inference(resolution,[],[f73,f41]) ).
fof(f108,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,f49]) ).
fof(f137,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,[],[f108,f49]) ).
fof(f143,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,[],[f137,f49]) ).
fof(f174,definition,
( spl3_4
<=> u = sF0 ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f175,plain,
( u != sF0
| spl3_4 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f176,plain,
( u = sF0
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f238,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X2,X3,X4,extension(X5,X4,X0,X1))
| ~ equidistant(X0,X1,X2,X3) ),
inference(resolution,[],[f81,f2]) ).
fof(f281,plain,
! [X0,X1] :
( ~ equidistant(w,x,X0,X1)
| equidistant(X0,X1,u,sF1) ),
inference(superposition,[],[f238,f26]) ).
fof(f296,plain,
! [X0,X1] : equidistant(extension(X0,X1,u,sF0),X1,lower_dimension_point_1,lower_dimension_point_2),
inference(resolution,[],[f43,f50]) ).
fof(f300,plain,
( ! [X0,X1] : equidistant(extension(X0,X1,sF0,sF0),X1,lower_dimension_point_1,lower_dimension_point_2)
| ~ spl3_4 ),
inference(forward_demodulation,[],[f296,f176]) ).
fof(f304,plain,
( ! [X1] : equidistant(X1,X1,lower_dimension_point_1,lower_dimension_point_2)
| ~ spl3_4 ),
inference(forward_demodulation,[],[f300,f31]) ).
fof(f310,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) )
| ~ spl3_4 ),
inference(resolution,[],[f304,f143]) ).
fof(f312,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) )
| ~ spl3_4 ),
inference(forward_subsumption_resolution,[],[f310,f39]) ).
fof(f314,definition,
( spl3_8
<=> ! [X1] : equidistant(lower_dimension_point_1,X1,lower_dimension_point_2,X1) ),
introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).
fof(f315,plain,
( ! [X1] : equidistant(lower_dimension_point_1,X1,lower_dimension_point_2,X1)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f317,definition,
( spl3_9
<=> ! [X0] :
( ~ between(X0,lower_dimension_point_1,lower_dimension_point_2)
| lower_dimension_point_1 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl3_9])],[avatar_definition]) ).
fof(f318,plain,
( ! [X0] :
( ~ between(X0,lower_dimension_point_1,lower_dimension_point_2)
| lower_dimension_point_1 = X0 )
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f319,plain,
( spl3_8
| spl3_9
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f312,f174,f317,f314]) ).
fof(f377,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(f380,plain,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| inner_pasch(X1,X2,X2,X1,X0) = X1 ),
inference(resolution,[],[f377,f39]) ).
fof(f385,plain,
! [X2,X3,X0,X1] : inner_pasch(X0,extension(X1,X0,X2,X3),extension(X1,X0,X2,X3),X0,X1) = X0,
inference(resolution,[],[f380,f4]) ).
fof(f404,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,f385]) ).
fof(f405,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,[],[f404,f4]) ).
fof(f406,plain,
! [X2,X3,X0,X1] : between(extension(X1,X0,X2,X3),X0,X1),
inference(forward_subsumption_resolution,[],[f405,f39]) ).
fof(f678,plain,
equidistant(y,z,u,sF1),
inference(resolution,[],[f281,f20]) ).
fof(f688,plain,
! [X0,X1] :
( ~ equidistant(y,z,X0,X1)
| equidistant(X0,X1,u,sF1) ),
inference(resolution,[],[f678,f2]) ).
fof(f695,plain,
equidistant(sF2,u,u,sF1),
inference(resolution,[],[f688,f54]) ).
fof(f711,plain,
equidistant(u,sF1,u,sF2),
inference(resolution,[],[f695,f41]) ).
fof(f716,plain,
! [X0,X1] :
( ~ between(X0,u,sF1)
| ~ between(X0,u,sF2)
| u = X0
| equidistant(sF1,X1,sF2,X1) ),
inference(resolution,[],[f711,f143]) ).
fof(f718,definition,
( spl3_17
<=> ! [X1] : equidistant(sF1,X1,sF2,X1) ),
introduced(definition,[new_symbols(definition,[spl3_17])],[avatar_definition]) ).
fof(f719,plain,
( ! [X1] : equidistant(sF1,X1,sF2,X1)
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f721,definition,
( spl3_18
<=> ! [X0] :
( ~ between(X0,u,sF1)
| u = X0
| ~ between(X0,u,sF2) ) ),
introduced(definition,[new_symbols(definition,[spl3_18])],[avatar_definition]) ).
fof(f722,plain,
( ! [X0] :
( ~ between(X0,u,sF2)
| u = X0
| ~ between(X0,u,sF1) )
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f723,plain,
( spl3_17
| spl3_18 ),
inference(avatar_split_clause,[],[f716,f721,f718]) ).
fof(f724,plain,
( sF1 = sF2
| ~ spl3_17 ),
inference(resolution,[],[f719,f3]) ).
fof(f732,plain,
( $false
| ~ spl3_17 ),
inference(forward_subsumption_resolution,[],[f724,f29]) ).
fof(f733,plain,
~ spl3_17,
inference(avatar_contradiction_clause,[],[f732]) ).
fof(f736,plain,
( u = sF0
| ~ between(sF0,u,sF1)
| ~ spl3_18 ),
inference(resolution,[],[f722,f37]) ).
fof(f737,plain,
( ~ between(sF0,u,sF1)
| spl3_4
| ~ spl3_18 ),
inference(forward_subsumption_resolution,[],[f736,f175]) ).
fof(f738,plain,
( $false
| spl3_4
| ~ spl3_18 ),
inference(forward_subsumption_resolution,[],[f737,f36]) ).
fof(f739,plain,
( spl3_4
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f738]) ).
fof(f820,plain,
( lower_dimension_point_1 = lower_dimension_point_2
| ~ spl3_8 ),
inference(resolution,[],[f315,f3]) ).
fof(f829,plain,
( ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1)
| ~ spl3_8 ),
inference(superposition,[],[f12,f820]) ).
fof(f846,plain,
( $false
| ~ spl3_8 ),
inference(forward_subsumption_resolution,[],[f829,f39]) ).
fof(f847,plain,
~ spl3_8,
inference(avatar_contradiction_clause,[],[f846]) ).
fof(f851,plain,
( ! [X0,X1] : lower_dimension_point_1 = extension(lower_dimension_point_2,lower_dimension_point_1,X0,X1)
| ~ spl3_9 ),
inference(resolution,[],[f318,f406]) ).
fof(f861,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(lower_dimension_point_1,lower_dimension_point_1,X2,X3)
| equidistant(X2,X3,X0,X1) )
| ~ spl3_9 ),
inference(superposition,[],[f42,f851]) ).
fof(f864,plain,
( ! [X0,X1] : equidistant(lower_dimension_point_1,lower_dimension_point_1,X0,X1)
| ~ spl3_9 ),
inference(superposition,[],[f73,f851]) ).
fof(f873,plain,
( ! [X2,X3,X0,X1] : equidistant(X2,X3,X0,X1)
| ~ spl3_9 ),
inference(forward_subsumption_resolution,[],[f861,f864]) ).
fof(f889,plain,
( ! [X0,X1] : X0 = X1
| ~ spl3_9 ),
inference(resolution,[],[f873,f3]) ).
fof(f958,plain,
( ! [X0] : ~ between(lower_dimension_point_3,X0,lower_dimension_point_2)
| ~ spl3_9 ),
inference(superposition,[],[f12,f889]) ).
fof(f1177,plain,
( ! [X2,X0,X1] : between(X0,X2,X1)
| ~ spl3_9 ),
inference(superposition,[],[f406,f889]) ).
fof(f1452,plain,
( $false
| ~ spl3_9 ),
inference(forward_subsumption_resolution,[],[f958,f1177]) ).
fof(f1453,plain,
~ spl3_9,
inference(avatar_contradiction_clause,[],[f1452]) ).
cnf(s5,plain,
( ~ spl3_4
| spl3_8
| spl3_9 ),
inference(sat_conversion,[],[f319]) ).
cnf(s11,plain,
( spl3_17
| spl3_18 ),
inference(sat_conversion,[],[f723]) ).
cnf(s12,plain,
~ spl3_17,
inference(sat_conversion,[],[f733]) ).
cnf(s13,plain,
( spl3_4
| ~ spl3_18 ),
inference(sat_conversion,[],[f739]) ).
cnf(s14,plain,
~ spl3_8,
inference(sat_conversion,[],[f847]) ).
cnf(s20,plain,
~ spl3_9,
inference(sat_conversion,[],[f1453]) ).
cnf(s23,plain,
spl3_18,
inference(rat,[],[s11,s12]) ).
cnf(s24,plain,
spl3_4,
inference(rat,[],[s13,s23]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s5,s20,s14,s24]) ).
fof(f1458,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO063-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 % Computer : n004.cluster.edu
% 0.12/0.42 % Model : x86_64 x86_64
% 0.12/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.42 % Memory : 8046.5625MB
% 0.12/0.42 % OS : Linux 6.8.0-71-generic
% 0.12/0.42 % CPULimit : 300
% 0.12/0.42 % WCLimit : 300
% 0.12/0.42 % DateTime : Sun Sep 27 06:47:22 UTC 2026
% 0.12/0.43 % CPUTime :
% 0.12/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.46 Running first-order theorem proving
% 0.16/0.46 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
% 6.46/1.79 % (3151978)Input is clausal, will run a generic CNF schedule.
% 6.46/1.79 % (3151988)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=20433783:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.46/1.79 % (3151986)lrs+10_1_sil=8000:sp=occurrence:random_seed=1412069475:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.46/1.79 % (3151984)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3135433303:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.46/1.79 % (3151987)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=707052939:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.46/1.79 % (3151983)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=3930978028:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.46/1.79 % (3151985)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=13055326:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.46/1.79 % (3151989)dis-21_1_sil=8000:lcm=predicate:random_seed=2512770225:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 6.46/1.79 % (3151989)Instruction limit reached!
% 6.46/1.79 % (3151989)------------------------------
% 6.46/1.79 % (3151989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.79 % (3151989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.79 % (3151989)CaDiCaL version: 2.1.3
% 6.46/1.79 % (3151989)Termination reason: Instruction limit
% 6.46/1.79 % (3151989)Termination phase: Saturation
% 6.46/1.79 % (3151989)Time elapsed: 0.065 s
% 6.46/1.79 % (3151989)Peak memory usage: 88 MB
% 6.46/1.79 % (3151989)Instructions burned: 118 (million)
% 6.46/1.79 % (3151987)Instruction limit reached!
% 6.46/1.79 % (3151987)------------------------------
% 6.46/1.79 % (3151987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.79 % (3151987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.79 % (3151987)CaDiCaL version: 2.1.3
% 6.46/1.79 % (3151987)Termination reason: Instruction limit
% 6.46/1.79 % (3151987)Termination phase: Saturation
% 6.46/1.79 % (3151987)Time elapsed: 0.070 s
% 6.46/1.79 % (3151987)Peak memory usage: 89 MB
% 6.46/1.79 % (3151987)Instructions burned: 116 (million)
% 6.46/1.79 % (3151986)Instruction limit reached!
% 6.46/1.79 % (3151986)------------------------------
% 6.46/1.79 % (3151986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.79 % (3151986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.79 % (3151986)CaDiCaL version: 2.1.3
% 6.46/1.79 % (3151986)Termination reason: Instruction limit
% 6.46/1.79 % (3151986)Termination phase: Saturation
% 6.46/1.79 % (3151986)Time elapsed: 0.073 s
% 6.46/1.79 % (3151986)Peak memory usage: 89 MB
% 6.46/1.79 % (3151986)Instructions burned: 108 (million)
% 6.46/1.79 % (3151988)Instruction limit reached!
% 6.46/1.79 % (3151988)------------------------------
% 6.46/1.79 % (3151988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.79 % (3151988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.80 % (3151988)CaDiCaL version: 2.1.3
% 6.46/1.80 % (3151988)Termination reason: Instruction limit
% 6.46/1.80 % (3151988)Termination phase: Saturation
% 6.46/1.80 % (3151988)Time elapsed: 0.106 s
% 6.46/1.80 % (3151988)Peak memory usage: 89 MB
% 6.46/1.80 % (3151988)Instructions burned: 180 (million)
% 6.46/1.80 % (3151997)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=216212427:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.46/1.80 % (3151998)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1563901566:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 6.46/1.80 % (3151999)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3471556189:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.46/1.80 % (3151999)Refutation not found, incomplete strategy
% 6.46/1.80 % (3151999)------------------------------
% 6.46/1.80 % (3151999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.80 % (3151999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.80 % (3151999)CaDiCaL version: 2.1.3
% 6.46/1.80 % (3151999)Termination reason: Refutation not found, incomplete strategy
% 6.46/1.80 % (3151999)Time elapsed: 0.001 s
% 6.46/1.80 % (3151999)Peak memory usage: 88 MB
% 6.46/1.80 % (3152000)lrs+10_64_to=lpo:sil=8000:random_seed=1170292433:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.46/1.80 % (3151997)Instruction limit reached!
% 6.46/1.80 % (3151997)------------------------------
% 6.46/1.80 % (3151997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.80 % (3151997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.80 % (3151997)CaDiCaL version: 2.1.3
% 6.46/1.80 % (3151997)Termination reason: Instruction limit
% 6.46/1.80 % (3151997)Termination phase: Saturation
% 6.46/1.80 % (3151997)Time elapsed: 0.095 s
% 6.46/1.80 % (3151997)Peak memory usage: 89 MB
% 6.46/1.80 % (3151997)Instructions burned: 144 (million)
% 6.46/1.80 % (3152000)Instruction limit reached!
% 6.46/1.80 % (3152000)------------------------------
% 6.46/1.80 % (3152000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.80 % (3152000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.80 % (3152000)CaDiCaL version: 2.1.3
% 6.46/1.80 % (3152000)Termination reason: Instruction limit
% 6.46/1.80 % (3152000)Termination phase: Saturation
% 6.46/1.80 % (3152000)Time elapsed: 0.040 s
% 6.46/1.80 % (3152000)Peak memory usage: 88 MB
% 6.46/1.80 % (3152000)Instructions burned: 128 (million)
% 6.46/1.80 % (3151998)Instruction limit reached!
% 6.46/1.80 % (3151998)------------------------------
% 6.46/1.80 % (3151998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.80 % (3151998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.80 % (3151998)CaDiCaL version: 2.1.3
% 6.46/1.80 % (3151998)Termination reason: Instruction limit
% 6.46/1.80 % (3151998)Termination phase: Saturation
% 6.46/1.80 % (3151998)Time elapsed: 0.109 s
% 6.46/1.80 % (3151998)Peak memory usage: 89 MB
% 6.46/1.80 % (3151998)Instructions burned: 190 (million)
% 6.46/1.80 % (3152005)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2560388799:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.46/1.80 % (3152006)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1671626682:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.46/1.80 % (3152005)Instruction limit reached!
% 6.46/1.80 % (3152005)------------------------------
% 6.46/1.80 % (3152005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.80 % (3152005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.80 % (3152005)CaDiCaL version: 2.1.3
% 6.46/1.80 % (3152005)Termination reason: Instruction limit
% 6.46/1.80 % (3152005)Termination phase: Saturation
% 6.46/1.80 % (3152005)Time elapsed: 0.063 s
% 6.46/1.80 % (3152005)Peak memory usage: 89 MB
% 6.46/1.80 % (3152005)Instructions burned: 196 (million)
% 6.46/1.80 % (3151999)------------------------------
% 6.46/1.80 % (3151999)------------------------------
% 6.46/1.80 % (3152007)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=997357969:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 6.46/1.80 % (3152010)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=3209058508:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 6.46/1.80 % (3152006)Instruction limit reached!
% 6.46/1.80 % (3152006)------------------------------
% 6.46/1.80 % (3152006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.80 % (3152006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.80 % (3152006)CaDiCaL version: 2.1.3
% 6.46/1.80 % (3152006)Termination reason: Instruction limit
% 6.46/1.80 % (3152006)Termination phase: Saturation
% 6.46/1.80 % (3152006)Time elapsed: 0.110 s
% 6.46/1.80 % (3152006)Peak memory usage: 90 MB
% 6.46/1.80 % (3152006)Instructions burned: 157 (million)
% 6.46/1.80 % (3152010)Instruction limit reached!
% 6.46/1.80 % (3152010)------------------------------
% 6.46/1.80 % (3152010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.80 % (3152010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.80 % (3152010)CaDiCaL version: 2.1.3
% 6.46/1.80 % (3152010)Termination reason: Instruction limit
% 6.46/1.80 % (3152010)Termination phase: Saturation
% 6.46/1.80 % (3152010)Time elapsed: 0.031 s
% 6.46/1.80 % (3152010)Peak memory usage: 88 MB
% 6.46/1.80 % (3152010)Instructions burned: 108 (million)
% 6.46/1.80 % (3152012)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2957229529:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 6.46/1.80 % (3152015)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=522833397:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 6.46/1.80 % (3152014)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2390731842:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 6.46/1.80 % (3152012)Instruction limit reached!
% 6.46/1.80 % (3152012)------------------------------
% 6.46/1.80 % (3152012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.80 % (3152012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.80 % (3152012)CaDiCaL version: 2.1.3
% 6.46/1.80 % (3152012)Termination reason: Instruction limit
% 6.46/1.80 % (3152012)Termination phase: Saturation
% 6.46/1.80 % (3152012)Time elapsed: 0.071 s
% 6.46/1.80 % (3152012)Peak memory usage: 89 MB
% 6.46/1.80 % (3152012)Instructions burned: 108 (million)
% 6.46/1.80 % (3151983)First to succeed.
% 6.46/1.80 % (3151983)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3151978"
% 6.46/1.80 % (3152019)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=729617364:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 6.46/1.80 % (3152014)Instruction limit reached!
% 6.46/1.80 % (3152014)------------------------------
% 6.46/1.80 % (3152014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.80 % (3152014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.80 % (3152014)CaDiCaL version: 2.1.3
% 6.46/1.80 % (3152014)Termination reason: Instruction limit
% 6.46/1.80 % (3152014)Termination phase: Saturation
% 6.46/1.80 % (3152014)Time elapsed: 0.151 s
% 6.46/1.80 % (3152014)Peak memory usage: 89 MB
% 6.46/1.80 % (3152014)Instructions burned: 242 (million)
% 6.46/1.80 % (3152019)Instruction limit reached!
% 6.46/1.80 % (3152019)------------------------------
% 6.46/1.80 % (3152019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.80 % (3152019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.80 % (3152019)CaDiCaL version: 2.1.3
% 6.46/1.80 % (3152019)Termination reason: Instruction limit
% 6.46/1.80 % (3152019)Termination phase: Saturation
% 6.46/1.80 % (3152019)Time elapsed: 0.090 s
% 6.46/1.80 % (3152019)Peak memory usage: 90 MB
% 6.46/1.80 % (3152019)Instructions burned: 136 (million)
% 6.46/1.80 % (3152021)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2783657103:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 6.46/1.80 % (3151983)Refutation found. Thanks to Tanya!
% 6.46/1.80 % SZS status Unsatisfiable for theBenchmark
% 6.46/1.80 % SZS output start Proof for theBenchmark
% See solution above
% 8.33/1.99 % (3151983)------------------------------
% 8.33/1.99 % (3151983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.33/1.99 % (3151983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.33/1.99 % (3151983)CaDiCaL version: 2.1.3
% 8.33/1.99 % (3151983)Termination reason: Refutation
% 8.33/1.99 % (3151983)Time elapsed: 0.744 s
% 8.33/1.99 % (3151983)Peak memory usage: 131 MB
% 8.33/1.99 % (3151983)Instructions burned: 1103 (million)
% 8.33/1.99 % (3151983)------------------------------
% 8.33/1.99 % (3151983)------------------------------
% 8.33/1.99 % (3151978)Success in time 1.132 s
% 8.33/1.99 % Vampire exiting
%------------------------------------------------------------------------------