%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP039-6 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 10:12:13 AM UTC 2026
% Result : Unsatisfiable 5.93s 1.90s
% Output : Refutation 5.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of formulae : 69 ( 17 unt; 4 def)
% Number of atoms : 155 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 155 ( 69 ~; 83 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ equalish(X0,X1)
| ~ subgroup_member(X0)
| subgroup_member(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subgroup_member_substitution) ).
fof(f5,axiom,
! [X0] :
( subgroup_member(inverse(X0))
| ~ subgroup_member(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_inverse) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| ~ subgroup_member(X1)
| ~ subgroup_member(X0)
| subgroup_member(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_product) ).
fof(f7,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f9,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f10,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X4,X5] :
( product(X0,X4,X5)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity1) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X3,X2)
| ~ product(X0,X1,X2)
| equalish(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f17,axiom,
! [X0,X1] :
( subgroup_member(element_in_O2(X0,X1))
| subgroup_member(X1)
| subgroup_member(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',an_element_in_O2) ).
fof(f18,axiom,
! [X0,X1] :
( product(X0,element_in_O2(X0,X1),X1)
| subgroup_member(X1)
| subgroup_member(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_O2) ).
fof(f19,negated_conjecture,
subgroup_member(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_in_subgroup) ).
fof(f20,negated_conjecture,
product(b,inverse(a),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_times_a_inverse_is_c) ).
fof(f21,negated_conjecture,
product(a,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_c_is_d) ).
fof(f22,negated_conjecture,
~ subgroup_member(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_d_is_in_subgroup) ).
fof(f23,definition,
sF0 = inverse(a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f24,plain,
inverse(a) = sF0,
inference(reorient_equations,[],[f23]) ).
fof(f25,plain,
product(b,sF0,c),
inference(definition_folding,[],[f20,f24]) ).
fof(f26,plain,
product(b,inverse(a),c),
inference(backward_demodulation,[],[f25,f24]) ).
fof(f27,plain,
( ~ subgroup_member(c)
| ~ subgroup_member(a)
| subgroup_member(d) ),
inference(resolution,[],[f6,f21]) ).
fof(f28,plain,
( ~ subgroup_member(c)
| ~ subgroup_member(a) ),
inference(forward_subsumption_resolution,[],[f27,f22]) ).
fof(f30,definition,
( spl1_1
<=> subgroup_member(a) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f31,plain,
( subgroup_member(a)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f32,plain,
( ~ subgroup_member(a)
| spl1_1 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f34,definition,
( spl1_2
<=> subgroup_member(c) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f35,plain,
( subgroup_member(c)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f37,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f28,f34,f30]) ).
fof(f39,plain,
( ~ subgroup_member(inverse(a))
| ~ subgroup_member(b)
| subgroup_member(c) ),
inference(resolution,[],[f26,f6]) ).
fof(f40,plain,
( ~ subgroup_member(inverse(a))
| subgroup_member(c) ),
inference(forward_subsumption_resolution,[],[f39,f19]) ).
fof(f42,definition,
( spl1_3
<=> subgroup_member(inverse(a)) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f43,plain,
( subgroup_member(inverse(a))
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f44,plain,
( ~ subgroup_member(inverse(a))
| spl1_3 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f45,plain,
( spl1_2
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f40,f42,f34]) ).
fof(f51,plain,
! [X2,X0,X1] :
( equalish(element_in_O2(X0,X2),X1)
| ~ product(X0,X1,X2)
| subgroup_member(X2)
| subgroup_member(X0) ),
inference(resolution,[],[f15,f18]) ).
fof(f53,plain,
! [X0,X1] :
( ~ product(X0,X1,identity)
| equalish(inverse(X0),X1) ),
inference(resolution,[],[f15,f10]) ).
fof(f75,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X5,X0,X3)
| ~ product(X3,X1,X4)
| ~ product(X0,X1,X2)
| ~ subgroup_member(X2)
| ~ subgroup_member(X5)
| subgroup_member(X4) ),
inference(resolution,[],[f11,f6]) ).
fof(f80,plain,
( ~ subgroup_member(a)
| spl1_3 ),
inference(resolution,[],[f44,f5]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| subgroup_member(X2)
| subgroup_member(X0)
| ~ subgroup_member(element_in_O2(X0,X2))
| subgroup_member(X1) ),
inference(resolution,[],[f51,f1]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| subgroup_member(X2)
| subgroup_member(X0)
| subgroup_member(X1) ),
inference(forward_subsumption_resolution,[],[f121,f17]) ).
fof(f132,plain,
( subgroup_member(d)
| subgroup_member(a)
| subgroup_member(c) ),
inference(resolution,[],[f122,f21]) ).
fof(f136,plain,
( subgroup_member(a)
| subgroup_member(c) ),
inference(forward_subsumption_resolution,[],[f132,f22]) ).
fof(f137,plain,
( subgroup_member(c)
| spl1_1 ),
inference(forward_subsumption_resolution,[],[f136,f32]) ).
fof(f138,plain,
( spl1_2
| spl1_1 ),
inference(avatar_split_clause,[],[f137,f30,f34]) ).
fof(f139,plain,
( $false
| ~ spl1_1
| spl1_3 ),
inference(forward_subsumption_resolution,[],[f80,f31]) ).
fof(f140,plain,
( ~ spl1_1
| spl1_3 ),
inference(avatar_contradiction_clause,[],[f139]) ).
fof(f176,plain,
! [X2,X3,X0,X1] :
( ~ product(identity,X0,X1)
| ~ product(X2,X0,X3)
| ~ subgroup_member(X3)
| ~ subgroup_member(inverse(X2))
| subgroup_member(X1) ),
inference(resolution,[],[f75,f9]) ).
fof(f443,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| ~ subgroup_member(X2)
| ~ subgroup_member(inverse(X0))
| subgroup_member(X1) ),
inference(resolution,[],[f176,f7]) ).
fof(f600,plain,
! [X0] : equalish(inverse(inverse(X0)),X0),
inference(resolution,[],[f53,f9]) ).
fof(f603,plain,
! [X0] :
( ~ subgroup_member(inverse(inverse(X0)))
| subgroup_member(X0) ),
inference(resolution,[],[f600,f1]) ).
fof(f605,plain,
! [X0] :
( ~ subgroup_member(inverse(X0))
| subgroup_member(X0) ),
inference(resolution,[],[f603,f5]) ).
fof(f607,plain,
( subgroup_member(a)
| ~ spl1_3 ),
inference(resolution,[],[f605,f43]) ).
fof(f608,plain,
( $false
| spl1_1
| ~ spl1_3 ),
inference(forward_subsumption_resolution,[],[f607,f32]) ).
fof(f609,plain,
( spl1_1
| ~ spl1_3 ),
inference(avatar_contradiction_clause,[],[f608]) ).
fof(f1261,plain,
( ~ subgroup_member(c)
| ~ subgroup_member(inverse(b))
| subgroup_member(inverse(a)) ),
inference(resolution,[],[f443,f26]) ).
fof(f1263,plain,
( ~ subgroup_member(inverse(b))
| subgroup_member(inverse(a))
| ~ spl1_2 ),
inference(forward_subsumption_resolution,[],[f1261,f35]) ).
fof(f1264,plain,
( ~ subgroup_member(inverse(b))
| ~ spl1_2
| spl1_3 ),
inference(forward_subsumption_resolution,[],[f1263,f44]) ).
fof(f1265,plain,
( ~ subgroup_member(b)
| ~ spl1_2
| spl1_3 ),
inference(resolution,[],[f1264,f5]) ).
fof(f1266,plain,
( $false
| ~ spl1_2
| spl1_3 ),
inference(forward_subsumption_resolution,[],[f1265,f19]) ).
fof(f1267,plain,
( ~ spl1_2
| spl1_3 ),
inference(avatar_contradiction_clause,[],[f1266]) ).
cnf(s1,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f37]) ).
cnf(s2,plain,
( spl1_2
| ~ spl1_3 ),
inference(sat_conversion,[],[f45]) ).
cnf(s8,plain,
( spl1_1
| spl1_2 ),
inference(sat_conversion,[],[f138]) ).
cnf(s9,plain,
( ~ spl1_1
| spl1_3 ),
inference(sat_conversion,[],[f140]) ).
cnf(s30,plain,
( spl1_1
| ~ spl1_3 ),
inference(sat_conversion,[],[f609]) ).
cnf(s41,plain,
( ~ spl1_2
| spl1_3 ),
inference(sat_conversion,[],[f1267]) ).
cnf(s49,plain,
spl1_1,
inference(rat,[],[s41,s8,s30]) ).
cnf(s50,plain,
spl1_3,
inference(rat,[],[s9,s49]) ).
cnf(s51,plain,
~ spl1_2,
inference(rat,[],[s1,s49]) ).
cnf(s55,plain,
$false,
inference(rat,[],[s2,s50,s51]) ).
fof(f1268,plain,
$false,
inference(avatar_sat_refutation,[],[s55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP039-6 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n005.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 09:15:47 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.29/1.70 % (3716607)Input is clausal, will run a generic CNF schedule.
% 4.29/1.70 % (3716632)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4184409625:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.29/1.70 % (3716631)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=233816770:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.29/1.70 % (3716636)dis-21_1_sil=8000:lcm=predicate:random_seed=2168133651: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)
% 4.29/1.70 % (3716635)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3004885205:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.29/1.70 % (3716633)lrs+10_1_sil=8000:sp=occurrence:random_seed=3615519185:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.29/1.70 % (3716630)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=3097040032:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.29/1.70 % (3716634)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1218912584:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.29/1.70 % (3716636)Instruction limit reached!
% 4.29/1.70 % (3716636)------------------------------
% 4.29/1.70 % (3716636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.29/1.70 % (3716636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.70 % (3716636)CaDiCaL version: 2.1.3
% 4.29/1.70 % (3716636)Termination reason: Instruction limit
% 4.29/1.70 % (3716636)Termination phase: Saturation
% 4.29/1.70 % (3716636)Time elapsed: 0.061 s
% 4.29/1.70 % (3716636)Peak memory usage: 88 MB
% 4.29/1.70 % (3716636)Instructions burned: 118 (million)
% 4.29/1.70 % (3716633)Instruction limit reached!
% 4.29/1.70 % (3716633)------------------------------
% 4.29/1.70 % (3716633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.29/1.70 % (3716633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.70 % (3716633)CaDiCaL version: 2.1.3
% 4.29/1.70 % (3716633)Termination reason: Instruction limit
% 4.29/1.70 % (3716633)Termination phase: Saturation
% 4.29/1.70 % (3716633)Time elapsed: 0.072 s
% 4.29/1.70 % (3716633)Peak memory usage: 88 MB
% 4.29/1.70 % (3716633)Instructions burned: 108 (million)
% 4.29/1.70 % (3716635)Instruction limit reached!
% 4.29/1.70 % (3716635)------------------------------
% 4.29/1.70 % (3716635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.29/1.70 % (3716635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.70 % (3716635)CaDiCaL version: 2.1.3
% 4.29/1.70 % (3716635)Termination reason: Instruction limit
% 4.29/1.70 % (3716635)Termination phase: Saturation
% 4.29/1.70 % (3716635)Time elapsed: 0.101 s
% 4.29/1.70 % (3716635)Peak memory usage: 88 MB
% 4.29/1.70 % (3716635)Instructions burned: 181 (million)
% 4.29/1.70 % (3716634)Instruction limit reached!
% 4.29/1.70 % (3716634)------------------------------
% 4.29/1.70 % (3716634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.29/1.70 % (3716634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.70 % (3716634)CaDiCaL version: 2.1.3
% 4.29/1.70 % (3716634)Termination reason: Instruction limit
% 4.29/1.70 % (3716634)Termination phase: Saturation
% 4.29/1.70 % (3716634)Time elapsed: 0.067 s
% 4.29/1.70 % (3716634)Peak memory usage: 88 MB
% 4.29/1.70 % (3716634)Instructions burned: 114 (million)
% 4.29/1.70 % (3716644)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=1772098216:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 4.29/1.70 % (3716645)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3502846549: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)
% 4.29/1.70 % (3716647)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=445739834:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.29/1.70 % (3716648)lrs+10_64_to=lpo:sil=8000:random_seed=488656942:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 4.29/1.70 % (3716644)Instruction limit reached!
% 4.29/1.70 % (3716644)------------------------------
% 4.29/1.70 % (3716644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.29/1.70 % (3716644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.70 % (3716644)CaDiCaL version: 2.1.3
% 4.29/1.70 % (3716644)Termination reason: Instruction limit
% 4.29/1.70 % (3716644)Termination phase: Saturation
% 4.29/1.70 % (3716644)Time elapsed: 0.089 s
% 4.29/1.70 % (3716644)Peak memory usage: 89 MB
% 4.29/1.70 % (3716644)Instructions burned: 144 (million)
% 4.29/1.70 % (3716645)Instruction limit reached!
% 4.29/1.70 % (3716645)------------------------------
% 4.29/1.70 % (3716645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.29/1.70 % (3716645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.70 % (3716645)CaDiCaL version: 2.1.3
% 4.29/1.70 % (3716645)Termination reason: Instruction limit
% 4.29/1.70 % (3716645)Termination phase: Saturation
% 4.29/1.70 % (3716645)Time elapsed: 0.092 s
% 4.29/1.70 % (3716645)Peak memory usage: 87 MB
% 4.29/1.70 % (3716645)Instructions burned: 190 (million)
% 4.29/1.70 % (3716648)Instruction limit reached!
% 4.29/1.70 % (3716648)------------------------------
% 4.29/1.70 % (3716648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.29/1.70 % (3716648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.70 % (3716648)CaDiCaL version: 2.1.3
% 4.29/1.70 % (3716648)Termination reason: Instruction limit
% 4.29/1.70 % (3716648)Termination phase: Saturation
% 4.29/1.70 % (3716648)Time elapsed: 0.081 s
% 4.29/1.70 % (3716648)Peak memory usage: 89 MB
% 4.29/1.70 % (3716648)Instructions burned: 127 (million)
% 4.29/1.70 % (3716647)Instruction limit reached!
% 4.29/1.70 % (3716647)------------------------------
% 4.29/1.70 % (3716647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.29/1.70 % (3716647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.70 % (3716647)CaDiCaL version: 2.1.3
% 4.29/1.70 % (3716647)Termination reason: Instruction limit
% 4.29/1.70 % (3716647)Termination phase: Saturation
% 4.29/1.70 % (3716647)Time elapsed: 0.132 s
% 4.29/1.70 % (3716647)Peak memory usage: 89 MB
% 4.29/1.70 % (3716647)Instructions burned: 219 (million)
% 4.29/1.70 % (3716666)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3300785769:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 4.29/1.70 % (3716672)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=547474431:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 4.29/1.70 % (3716680)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1871040620:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 4.29/1.70 % (3716632)First to succeed.
% 4.29/1.70 % (3716632)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3716607"
% 4.29/1.70 % (3716695)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=56869645:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 4.29/1.70 % (3716666)Instruction limit reached!
% 4.29/1.70 % (3716666)------------------------------
% 4.29/1.70 % (3716666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.29/1.70 % (3716666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.70 % (3716666)CaDiCaL version: 2.1.3
% 4.29/1.70 % (3716666)Termination reason: Instruction limit
% 4.29/1.70 % (3716666)Termination phase: Saturation
% 4.29/1.70 % (3716666)Time elapsed: 0.121 s
% 4.29/1.70 % (3716666)Peak memory usage: 89 MB
% 4.29/1.70 % (3716666)Instructions burned: 195 (million)
% 4.29/1.70 % (3716672)Instruction limit reached!
% 4.29/1.70 % (3716672)------------------------------
% 4.29/1.70 % (3716672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.29/1.70 % (3716672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.70 % (3716672)CaDiCaL version: 2.1.3
% 4.29/1.70 % (3716672)Termination reason: Instruction limit
% 4.29/1.70 % (3716672)Termination phase: Saturation
% 4.29/1.70 % (3716672)Time elapsed: 0.112 s
% 4.29/1.70 % (3716672)Peak memory usage: 90 MB
% 4.29/1.70 % (3716672)Instructions burned: 158 (million)
% 4.29/1.70 % (3716695)Instruction limit reached!
% 4.29/1.70 % (3716695)------------------------------
% 4.29/1.70 % (3716695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.29/1.70 % (3716695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.90 % (3716695)CaDiCaL version: 2.1.3
% 5.93/1.90 % (3716695)Termination reason: Instruction limit
% 5.93/1.90 % (3716695)Termination phase: Saturation
% 5.93/1.90 % (3716695)Time elapsed: 0.054 s
% 5.93/1.90 % (3716695)Peak memory usage: 89 MB
% 5.93/1.90 % (3716695)Instructions burned: 106 (million)
% 5.93/1.90 % (3716632)Refutation found. Thanks to Tanya!
% 5.93/1.90 % SZS status Unsatisfiable for theBenchmark
% 5.93/1.90 % SZS output start Proof for theBenchmark
% See solution above
% 5.93/1.90 % (3716632)------------------------------
% 5.93/1.90 % (3716632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.90 % (3716632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.90 % (3716632)CaDiCaL version: 2.1.3
% 5.93/1.90 % (3716632)Termination reason: Refutation
% 5.93/1.90 % (3716632)Time elapsed: 0.493 s
% 5.93/1.90 % (3716632)Peak memory usage: 131 MB
% 5.93/1.90 % (3716632)Instructions burned: 1214 (million)
% 5.93/1.90 % (3716632)------------------------------
% 5.93/1.90 % (3716632)------------------------------
% 5.93/1.90 % (3716607)Success in time 0.745 s
% 5.93/1.90 % Vampire exiting
%------------------------------------------------------------------------------