%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO025-2 : 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 : n018.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 09:51:14 AM UTC 2026
% Result : Unsatisfiable 3.71s 1.61s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 30
% Syntax : Number of formulae : 120 ( 34 unt; 15 def)
% Number of atoms : 284 ( 24 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 306 ( 142 ~; 149 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 16 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-5 aty)
% Number of variables : 77 ( 0 sgn 77 !; 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(f19,axiom,
equidistant(u,v,u1,v1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_v_equals_u1_to_v1) ).
fof(f20,axiom,
equidistant(v,w,v1,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_to_w_equals_v1_to_w1) ).
fof(f21,axiom,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f22,axiom,
between(u1,v1,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1_between_u1_and_w1) ).
fof(f23,negated_conjecture,
~ equidistant(u,w,u1,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equal_sums) ).
fof(f25,definition,
( spl0_1
<=> equidistant(u,w,u1,w1) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f27,plain,
( ~ equidistant(u,w,u1,w1)
| spl0_1 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f28,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f23,f25]) ).
fof(f30,definition,
( spl0_2
<=> between(u1,v1,w1) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f32,plain,
( between(u1,v1,w1)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f33,plain,
spl0_2,
inference(avatar_split_clause,[],[f22,f30]) ).
fof(f35,definition,
( spl0_3
<=> between(u,v,w) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f37,plain,
( between(u,v,w)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f38,plain,
spl0_3,
inference(avatar_split_clause,[],[f21,f35]) ).
fof(f40,definition,
( spl0_4
<=> equidistant(v,w,v1,w1) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f42,plain,
( equidistant(v,w,v1,w1)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f43,plain,
spl0_4,
inference(avatar_split_clause,[],[f20,f40]) ).
fof(f45,definition,
( spl0_5
<=> equidistant(u,v,u1,v1) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f47,plain,
( equidistant(u,v,u1,v1)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f48,plain,
spl0_5,
inference(avatar_split_clause,[],[f19,f45]) ).
fof(f65,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f5,f3]) ).
fof(f66,plain,
( ! [X0,X1] :
( ~ equidistant(v,w,X0,X1)
| equidistant(X0,X1,v1,w1) )
| ~ spl0_4 ),
inference(resolution,[],[f2,f42]) ).
fof(f68,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X1,X0) ),
inference(resolution,[],[f2,f1]) ).
fof(f70,plain,
! [X2,X0] : equidistant(X0,X0,X2,X2),
inference(superposition,[],[f5,f65]) ).
fof(f71,plain,
! [X0,X1] : between(X1,X0,X0),
inference(superposition,[],[f4,f65]) ).
fof(f72,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(f125,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(v,X0,v1,X1)
| ~ equidistant(X2,w,X3,w1)
| ~ equidistant(X2,v,X3,v1)
| ~ between(X2,v,X0)
| ~ between(X3,v1,X1)
| v = X2
| equidistant(X0,w,X1,w1) )
| ~ spl0_4 ),
inference(resolution,[],[f6,f42]) ).
fof(f133,plain,
! [X2,X3,X0,X1] : equidistant(X0,X1,extension(X2,X3,X0,X1),X3),
inference(resolution,[],[f68,f5]) ).
fof(f135,plain,
( equidistant(u1,v1,v,u)
| ~ spl0_5 ),
inference(resolution,[],[f68,f47]) ).
fof(f136,plain,
( equidistant(v1,w1,w,v)
| ~ spl0_4 ),
inference(resolution,[],[f68,f42]) ).
fof(f152,definition,
( spl0_15
<=> equidistant(v1,w1,w,v) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f154,plain,
( equidistant(v1,w1,w,v)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f155,plain,
( spl0_15
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f136,f40,f152]) ).
fof(f157,definition,
( spl0_16
<=> equidistant(u1,v1,v,u) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f159,plain,
( equidistant(u1,v1,v,u)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f160,plain,
( spl0_16
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f135,f45,f157]) ).
fof(f165,plain,
( equidistant(w,v,w1,v1)
| ~ spl0_15 ),
inference(resolution,[],[f154,f68]) ).
fof(f169,definition,
( spl0_17
<=> equidistant(w,v,w1,v1) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f171,plain,
( equidistant(w,v,w1,v1)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f172,plain,
( spl0_17
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f165,f152,f169]) ).
fof(f180,plain,
( ! [X0] :
( ~ between(v,X0,w)
| v = inner_pasch(u,v,w,X0,v) )
| ~ spl0_3 ),
inference(resolution,[],[f72,f37]) ).
fof(f181,plain,
( ! [X0] :
( ~ between(v1,X0,w1)
| v1 = inner_pasch(u1,v1,w1,X0,v1) )
| ~ spl0_2 ),
inference(resolution,[],[f72,f32]) ).
fof(f182,plain,
( equidistant(v,u,v1,u1)
| ~ spl0_16 ),
inference(resolution,[],[f159,f68]) ).
fof(f186,definition,
( spl0_18
<=> equidistant(v,u,v1,u1) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f188,plain,
( equidistant(v,u,v1,u1)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f189,plain,
( spl0_18
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f182,f157,f186]) ).
fof(f399,plain,
( ! [X0,X1] :
( ~ equidistant(X0,w,X1,w1)
| ~ equidistant(X0,v,X1,v1)
| ~ between(X0,v,u)
| ~ between(X1,v1,u1)
| v = X0
| equidistant(u,w,u1,w1) )
| ~ spl0_4
| ~ spl0_18 ),
inference(resolution,[],[f188,f125]) ).
fof(f417,plain,
( ! [X0,X1] :
( ~ equidistant(X0,w,X1,w1)
| ~ equidistant(X0,v,X1,v1)
| ~ between(X0,v,u)
| ~ between(X1,v1,u1)
| v = X0 )
| spl0_1
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f399,f27]) ).
fof(f425,plain,
( ~ equidistant(w,v,w1,v1)
| ~ between(w,v,u)
| ~ between(w1,v1,u1)
| v = w
| spl0_1
| ~ spl0_4
| ~ spl0_18 ),
inference(resolution,[],[f417,f70]) ).
fof(f427,plain,
( ~ between(w,v,u)
| ~ between(w1,v1,u1)
| v = w
| spl0_1
| ~ spl0_4
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f425,f171]) ).
fof(f442,definition,
( spl0_55
<=> v = w ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
fof(f444,plain,
( v = w
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f446,definition,
( spl0_56
<=> between(w1,v1,u1) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f448,plain,
( ~ between(w1,v1,u1)
| spl0_56 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f450,definition,
( spl0_57
<=> between(w,v,u) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f452,plain,
( ~ between(w,v,u)
| spl0_57 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f453,plain,
( spl0_55
| ~ spl0_56
| ~ spl0_57
| spl0_1
| ~ spl0_4
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f427,f186,f169,f40,f25,f450,f446,f442]) ).
fof(f463,plain,
( ! [X0,X1] : equidistant(extension(X0,X1,v,w),X1,v1,w1)
| ~ spl0_4 ),
inference(resolution,[],[f133,f66]) ).
fof(f474,plain,
( v = inner_pasch(u,v,w,w,v)
| ~ spl0_3 ),
inference(resolution,[],[f180,f71]) ).
fof(f479,definition,
( spl0_58
<=> v = inner_pasch(u,v,w,w,v) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
fof(f481,plain,
( v = inner_pasch(u,v,w,w,v)
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f482,plain,
( spl0_58
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f474,f35,f479]) ).
fof(f484,plain,
( v1 = inner_pasch(u1,v1,w1,w1,v1)
| ~ spl0_2 ),
inference(resolution,[],[f181,f71]) ).
fof(f489,definition,
( spl0_59
<=> v1 = inner_pasch(u1,v1,w1,w1,v1) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f491,plain,
( v1 = inner_pasch(u1,v1,w1,w1,v1)
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f492,plain,
( spl0_59
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f484,f30,f489]) ).
fof(f1059,plain,
( between(w,v,u)
| ~ between(v,w,w)
| ~ between(u,v,w)
| ~ spl0_58 ),
inference(superposition,[],[f9,f481]) ).
fof(f1061,plain,
( ~ between(v,w,w)
| ~ between(u,v,w)
| spl0_57
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[],[f1059,f452]) ).
fof(f1063,plain,
( ~ between(u,v,w)
| spl0_57
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[],[f1061,f71]) ).
fof(f1065,plain,
( $false
| ~ spl0_3
| spl0_57
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[],[f1063,f37]) ).
fof(f1066,plain,
( ~ spl0_3
| spl0_57
| ~ spl0_58 ),
inference(avatar_contradiction_clause,[],[f1065]) ).
fof(f1309,plain,
( between(w1,v1,u1)
| ~ between(v1,w1,w1)
| ~ between(u1,v1,w1)
| ~ spl0_59 ),
inference(superposition,[],[f9,f491]) ).
fof(f1311,plain,
( ~ between(v1,w1,w1)
| ~ between(u1,v1,w1)
| spl0_56
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f1309,f448]) ).
fof(f1313,plain,
( ~ between(u1,v1,w1)
| spl0_56
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f1311,f71]) ).
fof(f1315,plain,
( $false
| ~ spl0_2
| spl0_56
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f1313,f32]) ).
fof(f1316,plain,
( ~ spl0_2
| spl0_56
| ~ spl0_59 ),
inference(avatar_contradiction_clause,[],[f1315]) ).
fof(f1452,plain,
( ! [X0,X1] : equidistant(v1,w1,X0,extension(X1,X0,v,w))
| ~ spl0_4 ),
inference(resolution,[],[f463,f68]) ).
fof(f1463,plain,
( ! [X0,X1] : equidistant(v1,w1,X0,extension(X1,X0,v,v))
| ~ spl0_4
| ~ spl0_55 ),
inference(forward_demodulation,[],[f1452,f444]) ).
fof(f1469,plain,
( ! [X0] : equidistant(v1,w1,X0,X0)
| ~ spl0_4
| ~ spl0_55 ),
inference(forward_demodulation,[],[f1463,f65]) ).
fof(f1506,plain,
( v1 = w1
| ~ spl0_4
| ~ spl0_55 ),
inference(resolution,[],[f1469,f3]) ).
fof(f1518,definition,
( spl0_139
<=> v1 = w1 ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
fof(f1525,plain,
( spl0_139
| ~ spl0_4
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f1506,f442,f40,f1518]) ).
fof(f1526,plain,
( v != w
| v1 != w1
| ~ equidistant(u,v,u1,v1)
| equidistant(u,w,u1,w1) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
cnf(s1,plain,
~ spl0_1,
inference(sat_conversion,[],[f28]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f33]) ).
cnf(s3,plain,
spl0_3,
inference(sat_conversion,[],[f38]) ).
cnf(s4,plain,
spl0_4,
inference(sat_conversion,[],[f43]) ).
cnf(s5,plain,
spl0_5,
inference(sat_conversion,[],[f48]) ).
cnf(s15,plain,
( ~ spl0_4
| spl0_15 ),
inference(sat_conversion,[],[f155]) ).
cnf(s16,plain,
( ~ spl0_5
| spl0_16 ),
inference(sat_conversion,[],[f160]) ).
cnf(s17,plain,
( ~ spl0_15
| spl0_17 ),
inference(sat_conversion,[],[f172]) ).
cnf(s18,plain,
( ~ spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f189]) ).
cnf(s36,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_17
| ~ spl0_18
| spl0_55
| ~ spl0_56
| ~ spl0_57 ),
inference(sat_conversion,[],[f453]) ).
cnf(s37,plain,
( ~ spl0_3
| spl0_58 ),
inference(sat_conversion,[],[f482]) ).
cnf(s38,plain,
( ~ spl0_2
| spl0_59 ),
inference(sat_conversion,[],[f492]) ).
cnf(s96,plain,
( ~ spl0_3
| spl0_57
| ~ spl0_58 ),
inference(sat_conversion,[],[f1066]) ).
cnf(s102,plain,
( ~ spl0_2
| spl0_56
| ~ spl0_59 ),
inference(sat_conversion,[],[f1316]) ).
cnf(s128,plain,
( ~ spl0_4
| ~ spl0_55
| spl0_139 ),
inference(sat_conversion,[],[f1525]) ).
cnf(s129,plain,
( spl0_1
| ~ spl0_5
| ~ spl0_55
| ~ spl0_139 ),
inference(sat_conversion,[],[f1526]) ).
cnf(s130,plain,
spl0_16,
inference(rat,[],[s16,s5]) ).
cnf(s133,plain,
spl0_18,
inference(rat,[],[s18,s130]) ).
cnf(s138,plain,
spl0_15,
inference(rat,[],[s15,s4]) ).
cnf(s141,plain,
spl0_17,
inference(rat,[],[s17,s138]) ).
cnf(s146,plain,
spl0_58,
inference(rat,[],[s37,s3]) ).
cnf(s147,plain,
spl0_57,
inference(rat,[],[s96,s3,s146]) ).
cnf(s153,plain,
spl0_59,
inference(rat,[],[s38,s2]) ).
cnf(s154,plain,
spl0_56,
inference(rat,[],[s102,s2,s153]) ).
cnf(s155,plain,
spl0_55,
inference(rat,[],[s36,s147,s154,s141,s133,s4,s1]) ).
cnf(s156,plain,
spl0_139,
inference(rat,[],[s128,s4,s155]) ).
cnf(s165,plain,
$false,
inference(rat,[],[s129,s1,s5,s156,s155]) ).
fof(f1527,plain,
$false,
inference(avatar_sat_refutation,[],[s165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO025-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n018.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 06:39:09 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 3.71/1.61 % (1970665)Input is clausal, will run a generic CNF schedule.
% 3.71/1.61 % (1970675)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4155597243:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.71/1.61 % (1970676)dis-21_1_sil=8000:lcm=predicate:random_seed=834457270: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)
% 3.71/1.61 % (1970671)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=643468082:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.71/1.61 % (1970670)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=3267148373:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.71/1.61 % (1970673)lrs+10_1_sil=8000:sp=occurrence:random_seed=2513957329:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.71/1.61 % (1970674)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1693797960:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.71/1.61 % (1970672)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1469130967:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.71/1.61 % (1970673)Refutation not found, incomplete strategy
% 3.71/1.61 % (1970673)------------------------------
% 3.71/1.61 % (1970673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.61 % (1970673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.61 % (1970673)CaDiCaL version: 2.1.3
% 3.71/1.61 % (1970673)Termination reason: Refutation not found, incomplete strategy
% 3.71/1.61 % (1970673)Time elapsed: 0.002 s
% 3.71/1.61 % (1970673)Peak memory usage: 87 MB
% 3.71/1.61 % (1970673)Instructions burned: 2 (million)
% 3.71/1.61 % (1970674)Instruction limit reached!
% 3.71/1.61 % (1970674)------------------------------
% 3.71/1.61 % (1970674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.61 % (1970674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.61 % (1970674)CaDiCaL version: 2.1.3
% 3.71/1.61 % (1970674)Termination reason: Instruction limit
% 3.71/1.61 % (1970674)Termination phase: Saturation
% 3.71/1.61 % (1970674)Time elapsed: 0.045 s
% 3.71/1.61 % (1970674)Peak memory usage: 87 MB
% 3.71/1.61 % (1970674)Instructions burned: 116 (million)
% 3.71/1.61 % (1970676)Instruction limit reached!
% 3.71/1.61 % (1970676)------------------------------
% 3.71/1.61 % (1970676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.61 % (1970676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.61 % (1970676)CaDiCaL version: 2.1.3
% 3.71/1.61 % (1970676)Termination reason: Instruction limit
% 3.71/1.61 % (1970676)Termination phase: Saturation
% 3.71/1.61 % (1970676)Time elapsed: 0.065 s
% 3.71/1.61 % (1970676)Peak memory usage: 88 MB
% 3.71/1.61 % (1970676)Instructions burned: 119 (million)
% 3.71/1.61 % (1970675)Instruction limit reached!
% 3.71/1.61 % (1970675)------------------------------
% 3.71/1.61 % (1970675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.61 % (1970675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.61 % (1970675)CaDiCaL version: 2.1.3
% 3.71/1.61 % (1970675)Termination reason: Instruction limit
% 3.71/1.61 % (1970675)Termination phase: Saturation
% 3.71/1.61 % (1970675)Time elapsed: 0.118 s
% 3.71/1.61 % (1970675)Peak memory usage: 89 MB
% 3.71/1.61 % (1970675)Instructions burned: 180 (million)
% 3.71/1.61 % (1970684)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=1498276116:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.71/1.61 % (1970685)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3101749422: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)
% 3.71/1.61 % (1970673)------------------------------
% 3.71/1.61 % (1970673)------------------------------
% 3.71/1.61 % (1970686)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2690923662:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.71/1.61 % (1970684)Instruction limit reached!
% 3.71/1.61 % (1970684)------------------------------
% 3.71/1.61 % (1970684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.61 % (1970684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.61 % (1970684)CaDiCaL version: 2.1.3
% 3.71/1.61 % (1970684)Termination reason: Instruction limit
% 3.71/1.61 % (1970684)Termination phase: Saturation
% 3.71/1.61 % (1970684)Time elapsed: 0.104 s
% 3.71/1.61 % (1970684)Peak memory usage: 89 MB
% 3.71/1.61 % (1970684)Instructions burned: 144 (million)
% 3.71/1.61 % (1970685)Instruction limit reached!
% 3.71/1.61 % (1970685)------------------------------
% 3.71/1.61 % (1970685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.61 % (1970685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.61 % (1970685)CaDiCaL version: 2.1.3
% 3.71/1.61 % (1970685)Termination reason: Instruction limit
% 3.71/1.61 % (1970685)Termination phase: Saturation
% 3.71/1.61 % (1970685)Time elapsed: 0.107 s
% 3.71/1.61 % (1970685)Peak memory usage: 89 MB
% 3.71/1.61 % (1970685)Instructions burned: 190 (million)
% 3.71/1.61 % (1970686)Instruction limit reached!
% 3.71/1.61 % (1970686)------------------------------
% 3.71/1.61 % (1970686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.61 % (1970686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.61 % (1970686)CaDiCaL version: 2.1.3
% 3.71/1.61 % (1970686)Termination reason: Instruction limit
% 3.71/1.61 % (1970686)Termination phase: Saturation
% 3.71/1.61 % (1970686)Time elapsed: 0.067 s
% 3.71/1.61 % (1970686)Peak memory usage: 89 MB
% 3.71/1.61 % (1970686)Instructions burned: 221 (million)
% 3.71/1.61 % (1970689)lrs+10_64_to=lpo:sil=8000:random_seed=695240751:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 3.71/1.61 % (1970693)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=182124211:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 3.71/1.61 % (1970691)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3810256415:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 3.71/1.61 % (1970692)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1723365555:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 3.71/1.61 % (1970689)Instruction limit reached!
% 3.71/1.61 % (1970689)------------------------------
% 3.71/1.61 % (1970689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.61 % (1970689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.61 % (1970689)CaDiCaL version: 2.1.3
% 3.71/1.61 % (1970689)Termination reason: Instruction limit
% 3.71/1.61 % (1970689)Termination phase: Saturation
% 3.71/1.61 % (1970689)Time elapsed: 0.082 s
% 3.71/1.61 % (1970689)Peak memory usage: 89 MB
% 3.71/1.61 % (1970689)Instructions burned: 128 (million)
% 3.71/1.61 % (1970691)Instruction limit reached!
% 3.71/1.61 % (1970691)------------------------------
% 3.71/1.61 % (1970691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.61 % (1970691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.61 % (1970691)CaDiCaL version: 2.1.3
% 3.71/1.61 % (1970691)Termination reason: Instruction limit
% 3.71/1.61 % (1970691)Termination phase: Saturation
% 3.71/1.61 % (1970691)Time elapsed: 0.111 s
% 3.71/1.61 % (1970691)Peak memory usage: 88 MB
% 3.71/1.61 % (1970691)Instructions burned: 194 (million)
% 3.71/1.61 % (1970692)First to succeed.
% 3.71/1.61 % (1970692)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1970665"
% 3.71/1.61 % (1970698)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=3195195497:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 3.71/1.61 % (1970670)Also succeeded, but the first one will report.
% 3.71/1.61 % (1970699)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2007673691:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 3.71/1.61 % (1970698)Instruction limit reached!
% 3.71/1.61 % (1970698)------------------------------
% 3.71/1.61 % (1970698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.61 % (1970698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.61 % (1970698)CaDiCaL version: 2.1.3
% 3.71/1.61 % (1970698)Termination reason: Instruction limit
% 3.71/1.61 % (1970698)Termination phase: Saturation
% 3.71/1.61 % (1970698)Time elapsed: 0.060 s
% 3.71/1.61 % (1970698)Peak memory usage: 88 MB
% 3.71/1.61 % (1970698)Instructions burned: 106 (million)
% 3.71/1.61 % (1970671)Also succeeded, but the first one will report.
% 3.71/1.61 % (1970699)Instruction limit reached!
% 3.71/1.61 % (1970699)------------------------------
% 3.71/1.61 % (1970699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.61 % (1970699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.61 % (1970699)CaDiCaL version: 2.1.3
% 3.71/1.61 % (1970699)Termination reason: Instruction limit
% 3.71/1.61 % (1970699)Termination phase: Saturation
% 3.71/1.61 % (1970699)Time elapsed: 0.072 s
% 3.71/1.61 % (1970699)Peak memory usage: 89 MB
% 3.71/1.61 % (1970699)Instructions burned: 108 (million)
% 3.71/1.61 % (1970692)Refutation found. Thanks to Tanya!
% 3.71/1.61 % SZS status Unsatisfiable for theBenchmark
% 3.71/1.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.80 % (1970692)------------------------------
% 0.17/1.80 % (1970692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.80 % (1970692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.80 % (1970692)CaDiCaL version: 2.1.3
% 0.17/1.80 % (1970692)Termination reason: Refutation
% 0.17/1.80 % (1970692)Time elapsed: 0.078 s
% 0.17/1.80 % (1970692)Peak memory usage: 91 MB
% 0.17/1.80 % (1970692)Instructions burned: 112 (million)
% 0.17/1.80 % (1970692)------------------------------
% 0.17/1.80 % (1970692)------------------------------
% 0.17/1.80 % (1970665)Success in time 0.981 s
% 0.17/1.80 % Vampire exiting
%------------------------------------------------------------------------------