%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP039-4 : 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 10:12:12 AM UTC 2026
% Result : Unsatisfiable 6.80s 2.14s
% Output : Refutation 6.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 19
% Syntax : Number of formulae : 71 ( 17 unt; 4 def)
% Number of atoms : 168 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 186 ( 89 ~; 94 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
fof(f3,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
fof(f7,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/sandbox/benchmark/theBenchmark.p',associativity1) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( product(X2,X3,X5)
| ~ product(X1,X3,X4)
| ~ product(X0,X4,X5)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity2) ).
fof(f9,axiom,
! [X0] :
( subgroup_member(inverse(X0))
| ~ subgroup_member(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_inverse) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| ~ subgroup_member(X1)
| ~ subgroup_member(X0)
| subgroup_member(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_product) ).
fof(f11,axiom,
subgroup_member(identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_is_in_subgroup) ).
fof(f12,axiom,
! [X0,X1] :
( subgroup_member(element_in_O2(X0,X1))
| subgroup_member(X1)
| subgroup_member(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',an_element_in_O2) ).
fof(f13,axiom,
! [X0,X1] :
( product(X0,element_in_O2(X0,X1),X1)
| subgroup_member(X1)
| subgroup_member(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_O2) ).
fof(f14,negated_conjecture,
subgroup_member(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_in_subgroup) ).
fof(f15,negated_conjecture,
product(b,inverse(a),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_times_a_inverse_is_c) ).
fof(f16,negated_conjecture,
product(a,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_c_is_d) ).
fof(f17,negated_conjecture,
~ subgroup_member(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_d_is_in_subgroup) ).
fof(f18,definition,
sF0 = inverse(a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f19,plain,
inverse(a) = sF0,
inference(reorient_equations,[],[f18]) ).
fof(f20,plain,
product(b,sF0,c),
inference(definition_folding,[],[f15,f19]) ).
fof(f23,plain,
( ~ subgroup_member(c)
| ~ subgroup_member(a)
| subgroup_member(d) ),
inference(resolution,[],[f16,f10]) ).
fof(f24,plain,
( ~ subgroup_member(c)
| ~ subgroup_member(a) ),
inference(forward_subsumption_resolution,[],[f23,f17]) ).
fof(f26,definition,
( spl1_1
<=> subgroup_member(a) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f28,plain,
( ~ subgroup_member(a)
| spl1_1 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f30,definition,
( spl1_2
<=> subgroup_member(c) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f31,plain,
( subgroup_member(c)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f32,plain,
( ~ subgroup_member(c)
| spl1_2 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f33,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f24,f30,f26]) ).
fof(f34,plain,
( ~ subgroup_member(sF0)
| ~ subgroup_member(b)
| subgroup_member(c) ),
inference(resolution,[],[f20,f10]) ).
fof(f35,plain,
( ~ subgroup_member(sF0)
| subgroup_member(c) ),
inference(forward_subsumption_resolution,[],[f34,f14]) ).
fof(f37,definition,
( spl1_3
<=> subgroup_member(sF0) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f38,plain,
( subgroup_member(sF0)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f39,plain,
( ~ subgroup_member(sF0)
| spl1_3 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f40,plain,
( spl1_2
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f35,f37,f30]) ).
fof(f47,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,[],[f7,f10]) ).
fof(f48,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X3,X2,X4)
| ~ product(X0,X1,X2)
| ~ product(X3,X0,X5)
| ~ subgroup_member(X1)
| ~ subgroup_member(X5)
| subgroup_member(X4) ),
inference(resolution,[],[f8,f10]) ).
fof(f64,plain,
! [X2,X3,X0,X1] :
( ~ product(X2,X0,X3)
| ~ product(X0,X1,identity)
| ~ subgroup_member(X1)
| ~ subgroup_member(X3)
| subgroup_member(X2) ),
inference(resolution,[],[f48,f2]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,c)
| ~ product(a,X0,X2)
| ~ subgroup_member(X1)
| ~ subgroup_member(X2)
| subgroup_member(d) ),
inference(resolution,[],[f48,f16]) ).
fof(f72,plain,
! [X2,X0,X1] :
( ~ product(a,X0,X2)
| ~ product(X0,X1,c)
| ~ subgroup_member(X1)
| ~ subgroup_member(X2) ),
inference(forward_subsumption_resolution,[],[f70,f17]) ).
fof(f82,plain,
! [X0] :
( ~ product(inverse(a),X0,c)
| ~ subgroup_member(X0)
| ~ subgroup_member(identity) ),
inference(resolution,[],[f72,f4]) ).
fof(f84,plain,
! [X0] :
( ~ product(inverse(a),X0,c)
| ~ subgroup_member(X0) ),
inference(forward_subsumption_resolution,[],[f82,f11]) ).
fof(f85,plain,
! [X0] :
( ~ product(sF0,X0,c)
| ~ subgroup_member(X0) ),
inference(forward_demodulation,[],[f84,f19]) ).
fof(f88,plain,
( ~ subgroup_member(element_in_O2(sF0,c))
| subgroup_member(c)
| subgroup_member(sF0) ),
inference(resolution,[],[f85,f13]) ).
fof(f96,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,[],[f47,f3]) ).
fof(f299,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| ~ subgroup_member(X2)
| ~ subgroup_member(inverse(X0))
| subgroup_member(X1) ),
inference(resolution,[],[f96,f1]) ).
fof(f368,plain,
! [X0,X1] :
( ~ product(inverse(X0),X1,identity)
| ~ subgroup_member(X1)
| ~ subgroup_member(identity)
| subgroup_member(X0) ),
inference(resolution,[],[f64,f4]) ).
fof(f380,plain,
! [X0,X1] :
( ~ product(inverse(X0),X1,identity)
| ~ subgroup_member(X1)
| subgroup_member(X0) ),
inference(forward_subsumption_resolution,[],[f368,f11]) ).
fof(f386,plain,
! [X0] :
( ~ subgroup_member(inverse(inverse(X0)))
| subgroup_member(X0) ),
inference(resolution,[],[f380,f4]) ).
fof(f389,plain,
! [X0] :
( ~ subgroup_member(inverse(X0))
| subgroup_member(X0) ),
inference(resolution,[],[f386,f9]) ).
fof(f413,plain,
( ~ subgroup_member(sF0)
| subgroup_member(a) ),
inference(superposition,[],[f389,f19]) ).
fof(f684,plain,
( ~ subgroup_member(c)
| ~ subgroup_member(inverse(b))
| subgroup_member(sF0) ),
inference(resolution,[],[f299,f20]) ).
fof(f689,plain,
( ~ subgroup_member(inverse(b))
| subgroup_member(sF0)
| ~ spl1_2 ),
inference(forward_subsumption_resolution,[],[f684,f31]) ).
fof(f691,plain,
( ~ subgroup_member(inverse(b))
| ~ spl1_2
| spl1_3 ),
inference(forward_subsumption_resolution,[],[f689,f39]) ).
fof(f693,plain,
( ~ subgroup_member(b)
| ~ spl1_2
| spl1_3 ),
inference(resolution,[],[f691,f9]) ).
fof(f694,plain,
( $false
| ~ spl1_2
| spl1_3 ),
inference(forward_subsumption_resolution,[],[f693,f14]) ).
fof(f695,plain,
( ~ spl1_2
| spl1_3 ),
inference(avatar_contradiction_clause,[],[f694]) ).
fof(f696,plain,
( subgroup_member(c)
| subgroup_member(sF0) ),
inference(forward_subsumption_resolution,[],[f88,f12]) ).
fof(f700,plain,
( subgroup_member(sF0)
| spl1_2 ),
inference(forward_subsumption_resolution,[],[f696,f32]) ).
fof(f702,plain,
( $false
| spl1_2
| spl1_3 ),
inference(forward_subsumption_resolution,[],[f700,f39]) ).
fof(f703,plain,
( spl1_2
| spl1_3 ),
inference(avatar_contradiction_clause,[],[f702]) ).
fof(f708,plain,
( subgroup_member(a)
| ~ spl1_3 ),
inference(forward_subsumption_resolution,[],[f413,f38]) ).
fof(f714,plain,
( $false
| spl1_1
| ~ spl1_3 ),
inference(forward_subsumption_resolution,[],[f708,f28]) ).
fof(f715,plain,
( spl1_1
| ~ spl1_3 ),
inference(avatar_contradiction_clause,[],[f714]) ).
cnf(s1,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f33]) ).
cnf(s2,plain,
( spl1_2
| ~ spl1_3 ),
inference(sat_conversion,[],[f40]) ).
cnf(s13,plain,
( ~ spl1_2
| spl1_3 ),
inference(sat_conversion,[],[f695]) ).
cnf(s14,plain,
( spl1_2
| spl1_3 ),
inference(sat_conversion,[],[f703]) ).
cnf(s16,plain,
( spl1_1
| ~ spl1_3 ),
inference(sat_conversion,[],[f715]) ).
cnf(s19,plain,
spl1_3,
inference(rat,[],[s13,s14]) ).
cnf(s20,plain,
spl1_1,
inference(rat,[],[s16,s19]) ).
cnf(s21,plain,
spl1_2,
inference(rat,[],[s2,s19]) ).
cnf(s22,plain,
$false,
inference(rat,[],[s1,s21,s20]) ).
fof(f716,plain,
$false,
inference(avatar_sat_refutation,[],[s22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP039-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n004.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 09:15:52 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 3.36/1.95 % (3236375)Input is clausal, will run a generic CNF schedule.
% 3.36/1.95 % (3236400)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=875019118:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.36/1.95 % (3236399)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3414064250:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.36/1.95 % (3236401)lrs+10_1_sil=8000:sp=occurrence:random_seed=2286540304:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.36/1.95 % (3236398)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=2867140886:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.36/1.95 % (3236403)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2365272680:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.36/1.95 % (3236404)dis-21_1_sil=8000:lcm=predicate:random_seed=1219892992: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)
% 3.36/1.95 % (3236402)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3950108932:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.36/1.95 % (3236404)Instruction limit reached!
% 3.36/1.95 % (3236404)------------------------------
% 3.36/1.95 % (3236404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.95 % (3236404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.95 % (3236404)CaDiCaL version: 2.1.3
% 3.36/1.95 % (3236404)Termination reason: Instruction limit
% 3.36/1.95 % (3236404)Termination phase: Saturation
% 3.36/1.95 % (3236404)Time elapsed: 0.054 s
% 3.36/1.95 % (3236404)Peak memory usage: 87 MB
% 3.36/1.95 % (3236404)Instructions burned: 118 (million)
% 3.36/1.95 % (3236402)Instruction limit reached!
% 3.36/1.95 % (3236402)------------------------------
% 3.36/1.95 % (3236402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.95 % (3236402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.95 % (3236402)CaDiCaL version: 2.1.3
% 3.36/1.95 % (3236402)Termination reason: Instruction limit
% 3.36/1.95 % (3236402)Termination phase: Saturation
% 3.36/1.95 % (3236402)Time elapsed: 0.062 s
% 3.36/1.95 % (3236402)Peak memory usage: 88 MB
% 3.36/1.95 % (3236402)Instructions burned: 114 (million)
% 3.36/1.95 % (3236401)Instruction limit reached!
% 3.36/1.95 % (3236401)------------------------------
% 3.36/1.95 % (3236401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.95 % (3236401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.95 % (3236401)CaDiCaL version: 2.1.3
% 3.36/1.95 % (3236401)Termination reason: Instruction limit
% 3.36/1.95 % (3236401)Termination phase: Saturation
% 3.36/1.95 % (3236401)Time elapsed: 0.069 s
% 3.36/1.95 % (3236401)Peak memory usage: 88 MB
% 3.36/1.95 % (3236401)Instructions burned: 107 (million)
% 3.36/1.95 % (3236403)Instruction limit reached!
% 3.36/1.95 % (3236403)------------------------------
% 3.36/1.95 % (3236403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.95 % (3236403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.95 % (3236403)CaDiCaL version: 2.1.3
% 3.36/1.95 % (3236403)Termination reason: Instruction limit
% 3.36/1.95 % (3236403)Termination phase: Saturation
% 3.36/1.95 % (3236403)Time elapsed: 0.116 s
% 3.36/1.95 % (3236403)Peak memory usage: 89 MB
% 3.36/1.95 % (3236403)Instructions burned: 181 (million)
% 3.36/1.95 % (3236413)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=3061382525:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.36/1.95 % (3236414)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=593471020:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 3.36/1.95 % (3236415)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3694403605:st=4:i=219:sd=3:ss=axioms_2998 on theBenchmark for (2998ds/219Mi)
% 3.36/1.95 % (3236415)Refutation not found, incomplete strategy
% 3.36/1.95 % (3236415)------------------------------
% 3.36/1.95 % (3236415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.95 % (3236415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.95 % (3236415)CaDiCaL version: 2.1.3
% 3.36/1.95 % (3236415)Termination reason: Refutation not found, incomplete strategy
% 3.36/1.95 % (3236415)Time elapsed: 0.001 s
% 3.36/1.95 % (3236415)Peak memory usage: 88 MB
% 3.36/1.95 % (3236416)lrs+10_64_to=lpo:sil=8000:random_seed=3614224199:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 3.36/1.95 % (3236413)Instruction limit reached!
% 3.36/1.95 % (3236413)------------------------------
% 3.36/1.95 % (3236413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.95 % (3236413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.95 % (3236413)CaDiCaL version: 2.1.3
% 3.36/1.95 % (3236413)Termination reason: Instruction limit
% 3.36/1.95 % (3236413)Termination phase: Saturation
% 3.36/1.95 % (3236413)Time elapsed: 0.098 s
% 3.36/1.95 % (3236413)Peak memory usage: 89 MB
% 3.36/1.95 % (3236413)Instructions burned: 144 (million)
% 3.36/1.95 % (3236414)Instruction limit reached!
% 3.36/1.95 % (3236414)------------------------------
% 3.36/1.95 % (3236414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.95 % (3236414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.95 % (3236414)CaDiCaL version: 2.1.3
% 3.36/1.95 % (3236414)Termination reason: Instruction limit
% 3.36/1.95 % (3236414)Termination phase: Saturation
% 3.36/1.95 % (3236414)Time elapsed: 0.102 s
% 3.36/1.95 % (3236414)Peak memory usage: 89 MB
% 3.36/1.95 % (3236414)Instructions burned: 190 (million)
% 3.36/1.95 % (3236416)Instruction limit reached!
% 3.36/1.95 % (3236416)------------------------------
% 3.36/1.95 % (3236416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.95 % (3236416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.95 % (3236416)CaDiCaL version: 2.1.3
% 3.36/1.95 % (3236416)Termination reason: Instruction limit
% 3.36/1.95 % (3236416)Termination phase: Saturation
% 3.36/1.95 % (3236416)Time elapsed: 0.084 s
% 3.36/1.95 % (3236416)Peak memory usage: 89 MB
% 3.36/1.95 % (3236416)Instructions burned: 127 (million)
% 3.36/1.95 % (3236457)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3998422212:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 3.36/1.95 % (3236461)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4202467666:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 3.36/1.95 % (3236415)------------------------------
% 3.36/1.95 % (3236415)------------------------------
% 3.36/1.95 % (3236400)First to succeed.
% 3.36/1.95 % (3236400)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3236375"
% 3.36/1.95 % (3236462)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2115422408:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 3.36/1.95 % (3236461)Instruction limit reached!
% 3.36/1.95 % (3236461)------------------------------
% 3.36/1.95 % (3236461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.95 % (3236461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.95 % (3236461)CaDiCaL version: 2.1.3
% 3.36/1.95 % (3236461)Termination reason: Instruction limit
% 3.36/1.95 % (3236461)Termination phase: Saturation
% 3.36/1.95 % (3236461)Time elapsed: 0.109 s
% 3.36/1.95 % (3236461)Peak memory usage: 90 MB
% 3.36/1.95 % (3236461)Instructions burned: 157 (million)
% 3.36/1.95 % (3236457)Instruction limit reached!
% 3.36/1.95 % (3236457)------------------------------
% 3.36/1.95 % (3236457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.95 % (3236457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.95 % (3236457)CaDiCaL version: 2.1.3
% 3.36/1.95 % (3236457)Termination reason: Instruction limit
% 3.36/1.95 % (3236457)Termination phase: Saturation
% 3.36/1.95 % (3236457)Time elapsed: 0.131 s
% 3.36/1.95 % (3236457)Peak memory usage: 89 MB
% 3.36/1.95 % (3236457)Instructions burned: 194 (million)
% 3.36/1.95 % (3236465)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=2264460916:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 3.36/1.95 % (3236398)Also succeeded, but the first one will report.
% 3.36/1.95 % (3236465)Instruction limit reached!
% 3.36/1.95 % (3236465)------------------------------
% 3.36/1.95 % (3236465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/2.14 % (3236465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/2.14 % (3236465)CaDiCaL version: 2.1.3
% 6.80/2.14 % (3236465)Termination reason: Instruction limit
% 6.80/2.14 % (3236465)Termination phase: Saturation
% 6.80/2.14 % (3236465)Time elapsed: 0.055 s
% 6.80/2.14 % (3236465)Peak memory usage: 89 MB
% 6.80/2.14 % (3236465)Instructions burned: 107 (million)
% 6.80/2.14 % (3236468)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=533414436:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 6.80/2.14 % (3236467)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2726918731:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 6.80/2.14 % (3236400)Refutation found. Thanks to Tanya!
% 6.80/2.14 % SZS status Unsatisfiable for theBenchmark
% 6.80/2.14 % SZS output start Proof for theBenchmark
% See solution above
% 6.80/2.14 % (3236400)------------------------------
% 6.80/2.14 % (3236400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/2.14 % (3236400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/2.14 % (3236400)CaDiCaL version: 2.1.3
% 6.80/2.14 % (3236400)Termination reason: Refutation
% 6.80/2.14 % (3236400)Time elapsed: 0.471 s
% 6.80/2.14 % (3236400)Peak memory usage: 130 MB
% 6.80/2.14 % (3236400)Instructions burned: 1045 (million)
% 6.80/2.14 % (3236400)------------------------------
% 6.80/2.14 % (3236400)------------------------------
% 6.80/2.14 % (3236375)Success in time 0.827 s
% 6.80/2.14 % Vampire exiting
%------------------------------------------------------------------------------