%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP025-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 10:12:09 AM UTC 2026
% Result : Unsatisfiable 3.36s 1.32s
% Output : Refutation 3.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 23
% Syntax : Number of formulae : 126 ( 25 unt; 6 def)
% Number of atoms : 326 ( 44 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 415 ( 215 ~; 194 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-1 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2,X3)
| ~ product(X0,X1,X2,X4)
| X4 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function2) ).
fof(f10,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2,X4)
| ~ product(X0,X1,X2,X3)
| X3 = X4 ),
inference(reorient_equations,[],[f9]) ).
fof(f17,axiom,
! [X0] :
( ~ group_member(X0,g1)
| X0 = a
| X0 = b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_and_b_only_members_of_group1) ).
fof(f18,plain,
! [X0] :
( ~ group_member(X0,g1)
| a = X0
| b = X0 ),
inference(reorient_equations,[],[f17]) ).
fof(f21,axiom,
product(g1,a,a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_a_is_a) ).
fof(f22,axiom,
product(g1,a,b,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b_is_b) ).
fof(f23,axiom,
product(g1,b,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_times_a_is_b) ).
fof(f24,axiom,
product(g1,b,b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_times_b_is_a) ).
fof(f25,axiom,
product(g2,c,c,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_times_c_is_c) ).
fof(f26,axiom,
product(g2,c,d,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_times_d_is_d) ).
fof(f27,axiom,
product(g2,d,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_times_c_is_d) ).
fof(f28,axiom,
product(g2,d,d,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_times_d_is_c) ).
fof(f29,axiom,
an_isomorphism(a) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_maps_to_c) ).
fof(f30,plain,
c = an_isomorphism(a),
inference(reorient_equations,[],[f29]) ).
fof(f31,axiom,
an_isomorphism(b) = d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_maps_to_d) ).
fof(f32,plain,
d = an_isomorphism(b),
inference(reorient_equations,[],[f31]) ).
fof(f33,axiom,
group_member(d1,g1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_member_of_group1) ).
fof(f34,axiom,
group_member(d2,g1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_member_of_group1) ).
fof(f35,axiom,
group_member(d3,g1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_member_of_group1) ).
fof(f36,axiom,
product(g1,d1,d2,d3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_times_d2_is_d3) ).
fof(f37,negated_conjecture,
~ product(g2,an_isomorphism(d1),an_isomorphism(d2),an_isomorphism(d3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_product_holds_in_group2) ).
fof(f40,plain,
( a = d1
| b = d1 ),
inference(resolution,[],[f18,f33]) ).
fof(f41,plain,
( a = d2
| b = d2 ),
inference(resolution,[],[f18,f34]) ).
fof(f42,plain,
( a = d3
| b = d3 ),
inference(resolution,[],[f18,f35]) ).
fof(f44,definition,
( spl0_1
<=> b = d3 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f46,plain,
( b = d3
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f48,definition,
( spl0_2
<=> a = d3 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f49,plain,
( a != d3
| spl0_2 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f50,plain,
( a = d3
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f51,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f42,f48,f44]) ).
fof(f53,definition,
( spl0_3
<=> b = d2 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f54,plain,
( b != d2
| spl0_3 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f55,plain,
( b = d2
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f57,definition,
( spl0_4
<=> a = d2 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f59,plain,
( a = d2
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f60,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f41,f57,f53]) ).
fof(f62,definition,
( spl0_5
<=> b = d1 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f63,plain,
( b != d1
| spl0_5 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f64,plain,
( b = d1
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f66,definition,
( spl0_6
<=> a = d1 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f67,plain,
( a != d1
| spl0_6 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f68,plain,
( a = d1
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f69,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f40,f66,f62]) ).
fof(f70,plain,
( product(g1,d1,d2,a)
| ~ spl0_2 ),
inference(superposition,[],[f36,f50]) ).
fof(f72,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(d2),an_isomorphism(a))
| ~ spl0_2 ),
inference(superposition,[],[f37,f50]) ).
fof(f73,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(d2),c)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f72,f30]) ).
fof(f74,plain,
( product(g1,d1,b,a)
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f70,f55]) ).
fof(f75,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(b),c)
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f73,f55]) ).
fof(f77,plain,
( ~ product(g2,an_isomorphism(d1),d,c)
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f75,f32]) ).
fof(f78,plain,
( ~ product(g2,an_isomorphism(b),d,c)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f77,f64]) ).
fof(f79,plain,
( ~ product(g2,d,d,c)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f78,f32]) ).
fof(f80,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f79,f28]) ).
fof(f81,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f80]) ).
fof(f82,plain,
( product(g1,a,b,a)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f74,f68]) ).
fof(f87,plain,
! [X0] :
( ~ product(g1,a,a,X0)
| a = X0 ),
inference(resolution,[],[f10,f21]) ).
fof(f88,plain,
! [X0] :
( ~ product(g1,a,b,X0)
| b = X0 ),
inference(resolution,[],[f10,f22]) ).
fof(f89,plain,
! [X0] :
( ~ product(g1,b,a,X0)
| b = X0 ),
inference(resolution,[],[f10,f23]) ).
fof(f90,plain,
! [X0] :
( ~ product(g1,b,b,X0)
| a = X0 ),
inference(resolution,[],[f10,f24]) ).
fof(f133,plain,
( a != b
| spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f63,f68]) ).
fof(f134,plain,
( product(g1,a,d2,d3)
| ~ spl0_6 ),
inference(superposition,[],[f36,f68]) ).
fof(f136,plain,
( ~ product(g2,an_isomorphism(a),an_isomorphism(d2),an_isomorphism(d3))
| ~ spl0_6 ),
inference(superposition,[],[f37,f68]) ).
fof(f145,plain,
( a = b
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(resolution,[],[f82,f88]) ).
fof(f149,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f145,f133]) ).
fof(f150,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f149]) ).
fof(f151,plain,
( a != b
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f49,f46]) ).
fof(f157,plain,
( ~ product(g2,an_isomorphism(a),an_isomorphism(d2),an_isomorphism(b))
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[],[f136,f46]) ).
fof(f158,plain,
( product(g1,a,d2,b)
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[],[f134,f46]) ).
fof(f162,plain,
( ~ product(g2,an_isomorphism(a),an_isomorphism(d2),d)
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[],[f157,f32]) ).
fof(f165,plain,
( ~ product(g2,an_isomorphism(a),an_isomorphism(b),d)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f162,f55]) ).
fof(f167,plain,
( ~ product(g2,an_isomorphism(a),d,d)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f165,f32]) ).
fof(f170,plain,
( ~ product(g2,c,d,d)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f167,f30]) ).
fof(f171,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f170,f26]) ).
fof(f172,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f171]) ).
fof(f176,plain,
( product(g1,a,a,b)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f158,f59]) ).
fof(f193,plain,
( a != b
| spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f54,f59]) ).
fof(f194,plain,
( product(g1,d1,a,d3)
| ~ spl0_4 ),
inference(superposition,[],[f36,f59]) ).
fof(f196,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(a),an_isomorphism(d3))
| ~ spl0_4 ),
inference(superposition,[],[f37,f59]) ).
fof(f205,plain,
( a = b
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6 ),
inference(resolution,[],[f176,f87]) ).
fof(f212,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f205,f151]) ).
fof(f213,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f212]) ).
fof(f227,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(a),an_isomorphism(a))
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f196,f50]) ).
fof(f228,plain,
( product(g1,d1,a,a)
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f194,f50]) ).
fof(f232,plain,
( ~ product(g2,an_isomorphism(d1),c,c)
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f227,f30]) ).
fof(f235,plain,
( ~ product(g2,an_isomorphism(a),c,c)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f232,f68]) ).
fof(f237,plain,
( ~ product(g2,c,c,c)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f235,f30]) ).
fof(f240,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f237,f25]) ).
fof(f241,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f240]) ).
fof(f242,plain,
( a != b
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f67,f64]) ).
fof(f246,plain,
( product(g1,b,a,a)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f228,f64]) ).
fof(f263,plain,
( product(g1,b,d2,d3)
| ~ spl0_5 ),
inference(superposition,[],[f36,f64]) ).
fof(f274,plain,
( a = b
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f246,f89]) ).
fof(f278,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f274,f193]) ).
fof(f279,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f278]) ).
fof(f281,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(a),an_isomorphism(b))
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f196,f46]) ).
fof(f287,plain,
( product(g1,b,d2,b)
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[],[f263,f46]) ).
fof(f288,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(a),d)
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f281,f32]) ).
fof(f293,plain,
( ~ product(g2,an_isomorphism(d1),c,d)
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f288,f30]) ).
fof(f295,plain,
( ~ product(g2,an_isomorphism(b),c,d)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f293,f64]) ).
fof(f297,plain,
( ~ product(g2,d,c,d)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f295,f32]) ).
fof(f300,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f297,f27]) ).
fof(f301,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f300]) ).
fof(f306,plain,
( product(g1,b,b,b)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f287,f55]) ).
fof(f333,plain,
( a = b
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(resolution,[],[f306,f90]) ).
fof(f337,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f333,f242]) ).
fof(f338,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f337]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f51]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f60]) ).
cnf(s3,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f69]) ).
cnf(s4,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(sat_conversion,[],[f81]) ).
cnf(s5,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f150]) ).
cnf(s7,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_6 ),
inference(sat_conversion,[],[f172]) ).
cnf(s9,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(sat_conversion,[],[f213]) ).
cnf(s14,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(sat_conversion,[],[f241]) ).
cnf(s15,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f279]) ).
cnf(s17,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f301]) ).
cnf(s18,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f338]) ).
cnf(s19,plain,
( spl0_3
| ~ spl0_2 ),
inference(rat,[],[s3,s15,s14,s2]) ).
cnf(s20,plain,
( ~ spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5,s3,s4]) ).
cnf(s21,plain,
~ spl0_2,
inference(rat,[],[s20,s19]) ).
cnf(s22,plain,
spl0_1,
inference(rat,[],[s1,s21]) ).
cnf(s23,plain,
~ spl0_4,
inference(rat,[],[s3,s17,s9,s22,s21]) ).
cnf(s24,plain,
spl0_3,
inference(rat,[],[s2,s23]) ).
cnf(s25,plain,
~ spl0_6,
inference(rat,[],[s7,s22,s24]) ).
cnf(s26,plain,
~ spl0_5,
inference(rat,[],[s18,s25,s22,s24]) ).
cnf(s27,plain,
$false,
inference(rat,[],[s3,s25,s26]) ).
fof(f339,plain,
$false,
inference(avatar_sat_refutation,[],[s27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP025-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n006.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 09:13:55 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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
% 3.36/1.32 % (2721605)Input is clausal, will run a generic CNF schedule.
% 3.36/1.32 % (2721710)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2667788407:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.36/1.32 % (2721714)dis-21_1_sil=8000:lcm=predicate:random_seed=1492509300: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)
% 3.36/1.32 % (2721708)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=483882409:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.36/1.32 % (2721712)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1645545721:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.36/1.32 % (2721713)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3959190261:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.36/1.32 % (2721709)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1772730708:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.36/1.32 % (2721711)lrs+10_1_sil=8000:sp=occurrence:random_seed=2859107627:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.36/1.32 % (2721711)First to succeed.
% 3.36/1.32 % (2721711)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2721605"
% 3.36/1.32 % (2721713)Also succeeded, but the first one will report.
% 3.36/1.32 % (2721712)Instruction limit reached!
% 3.36/1.32 % (2721712)------------------------------
% 3.36/1.32 % (2721712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.32 % (2721712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.32 % (2721712)CaDiCaL version: 2.1.3
% 3.36/1.32 % (2721712)Termination reason: Instruction limit
% 3.36/1.32 % (2721712)Termination phase: Saturation
% 3.36/1.32 % (2721712)Time elapsed: 0.075 s
% 3.36/1.32 % (2721712)Peak memory usage: 89 MB
% 3.36/1.32 % (2721712)Instructions burned: 114 (million)
% 3.36/1.32 % (2721714)Instruction limit reached!
% 3.36/1.32 % (2721714)------------------------------
% 3.36/1.32 % (2721714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.32 % (2721714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.32 % (2721714)CaDiCaL version: 2.1.3
% 3.36/1.32 % (2721714)Termination reason: Instruction limit
% 3.36/1.32 % (2721714)Termination phase: Saturation
% 3.36/1.32 % (2721714)Time elapsed: 0.081 s
% 3.36/1.32 % (2721714)Peak memory usage: 88 MB
% 3.36/1.32 % (2721714)Instructions burned: 118 (million)
% 3.36/1.32 % (2721743)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=590123112: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)
% 3.36/1.32 % (2721740)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=1410205065:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.36/1.32 % (2721743)Instruction limit reached!
% 3.36/1.32 % (2721743)------------------------------
% 3.36/1.32 % (2721743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.32 % (2721743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.32 % (2721743)CaDiCaL version: 2.1.3
% 3.36/1.32 % (2721743)Termination reason: Instruction limit
% 3.36/1.32 % (2721743)Termination phase: Saturation
% 3.36/1.32 % (2721743)Time elapsed: 0.052 s
% 3.36/1.32 % (2721743)Peak memory usage: 91 MB
% 3.36/1.32 % (2721743)Instructions burned: 193 (million)
% 3.36/1.32 % (2721740)Also succeeded, but the first one will report.
% 3.36/1.32 % (2721711)Refutation found. Thanks to Tanya!
% 3.36/1.32 % SZS status Unsatisfiable for theBenchmark
% 3.36/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.90/1.52 % (2721711)------------------------------
% 3.90/1.52 % (2721711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.52 % (2721711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.52 % (2721711)CaDiCaL version: 2.1.3
% 3.90/1.52 % (2721711)Termination reason: Refutation
% 3.90/1.52 % (2721711)Time elapsed: 0.008 s
% 3.90/1.52 % (2721711)Peak memory usage: 89 MB
% 3.90/1.52 % (2721711)Instructions burned: 9 (million)
% 3.90/1.52 % (2721711)------------------------------
% 3.90/1.52 % (2721711)------------------------------
% 3.90/1.52 % (2721605)Success in time 0.462 s
% 3.90/1.52 % Vampire exiting
%------------------------------------------------------------------------------