%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP617-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 10:14:59 AM UTC 2026
% Result : Unsatisfiable 11.03s 2.50s
% Output : Refutation 12.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 21
% Syntax : Number of formulae : 98 ( 47 unt; 4 def)
% Number of atoms : 173 ( 41 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 151 ( 76 ~; 73 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 111 ( 0 sgn 111 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
fof(f3,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
fof(f5,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function1) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function2) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X2,X3,X5)
| ~ product(X1,X3,X4)
| ~ product(X0,X1,X2)
| product(X0,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity1) ).
fof(f9,axiom,
! [X0] :
( subgroup1_member(inverse(X0))
| ~ subgroup1_member(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_inverse1) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| ~ subgroup1_member(X1)
| ~ subgroup1_member(X0)
| subgroup1_member(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_product1) ).
fof(f11,axiom,
! [X0] :
( subgroup2_member(inverse(X0))
| ~ subgroup2_member(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_inverse2) ).
fof(f12,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| ~ subgroup2_member(X1)
| ~ subgroup2_member(X0)
| subgroup2_member(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_product2) ).
fof(f13,axiom,
! [X0,X1] :
( subgroup1_member(multiply(X1,multiply(X0,inverse(X1))))
| ~ subgroup1_member(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',normality1) ).
fof(f14,axiom,
! [X0,X1] :
( subgroup2_member(multiply(X1,multiply(X0,inverse(X1))))
| ~ subgroup2_member(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',normality2) ).
fof(f15,axiom,
! [X0] :
( ~ subgroup1_member(X0)
| ~ subgroup2_member(X0)
| X0 = identity ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trivial_intersection) ).
fof(f16,plain,
! [X0] :
( ~ subgroup2_member(X0)
| ~ subgroup1_member(X0)
| identity = X0 ),
inference(reorient_equations,[],[f15]) ).
fof(f17,axiom,
subgroup1_member(v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_in_G1) ).
fof(f18,axiom,
subgroup2_member(u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_in_G2) ).
fof(f19,negated_conjecture,
multiply(v,u) != multiply(u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_vu_equals_uv) ).
fof(f20,definition,
sF0 = multiply(v,u),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f21,plain,
multiply(v,u) = sF0,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF1 = multiply(u,v),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f23,plain,
multiply(u,v) = sF1,
inference(reorient_equations,[],[f22]) ).
fof(f24,plain,
sF0 != sF1,
inference(definition_folding,[],[f19,f23,f21]) ).
fof(f25,plain,
product(u,v,sF1),
inference(superposition,[],[f5,f23]) ).
fof(f26,plain,
product(v,u,sF0),
inference(superposition,[],[f5,f21]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| multiply(X0,X1) = X2 ),
inference(resolution,[],[f6,f5]) ).
fof(f59,plain,
! [X0,X1] :
( subgroup1_member(multiply(X1,X0))
| ~ subgroup1_member(X1)
| ~ subgroup1_member(X0) ),
inference(resolution,[],[f10,f5]) ).
fof(f90,plain,
! [X0] : multiply(X0,identity) = X0,
inference(resolution,[],[f27,f2]) ).
fof(f91,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(resolution,[],[f27,f4]) ).
fof(f92,plain,
! [X0] : multiply(identity,X0) = X0,
inference(resolution,[],[f27,f1]) ).
fof(f96,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(resolution,[],[f3,f27]) ).
fof(f118,plain,
identity = inverse(identity),
inference(superposition,[],[f92,f91]) ).
fof(f146,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X3,X0,X4)
| ~ product(X0,X1,X2)
| product(X3,X2,multiply(X4,X1)) ),
inference(resolution,[],[f7,f5]) ).
fof(f153,plain,
! [X2,X3,X0,X1] :
( product(X3,X2,multiply(multiply(X3,X0),X1))
| ~ product(X0,X1,X2) ),
inference(resolution,[],[f146,f5]) ).
fof(f158,plain,
! [X0,X1] :
( product(v,X1,multiply(sF0,X0))
| ~ product(u,X0,X1) ),
inference(resolution,[],[f146,f26]) ).
fof(f159,plain,
! [X0,X1] :
( product(u,X1,multiply(sF1,X0))
| ~ product(v,X0,X1) ),
inference(resolution,[],[f146,f25]) ).
fof(f164,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| multiply(multiply(X3,X0),X1) = multiply(X3,X2) ),
inference(resolution,[],[f153,f27]) ).
fof(f181,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(resolution,[],[f164,f5]) ).
fof(f188,plain,
! [X0] : multiply(multiply(X0,u),v) = multiply(X0,sF1),
inference(resolution,[],[f164,f25]) ).
fof(f195,plain,
! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
inference(superposition,[],[f181,f91]) ).
fof(f198,plain,
! [X0,X1] : multiply(identity,X1) = multiply(inverse(X0),multiply(X0,X1)),
inference(superposition,[],[f181,f96]) ).
fof(f212,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
inference(superposition,[],[f91,f181]) ).
fof(f217,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f198,f92]) ).
fof(f218,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f195,f92]) ).
fof(f224,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f217,f96]) ).
fof(f226,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[],[f217,f181]) ).
fof(f237,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f224,f90]) ).
fof(f299,plain,
! [X0,X1] : product(X1,multiply(inverse(X1),X0),X0),
inference(superposition,[],[f5,f218]) ).
fof(f319,plain,
! [X0] :
( subgroup1_member(multiply(X0,sF1))
| ~ subgroup1_member(multiply(X0,u))
| ~ subgroup1_member(v) ),
inference(superposition,[],[f59,f188]) ).
fof(f322,plain,
! [X0] :
( ~ subgroup1_member(multiply(X0,u))
| subgroup1_member(multiply(X0,sF1)) ),
inference(forward_subsumption_resolution,[],[f319,f17]) ).
fof(f557,plain,
! [X0,X1] : multiply(X1,inverse(multiply(X0,X1))) = multiply(inverse(X0),identity),
inference(superposition,[],[f217,f212]) ).
fof(f560,plain,
! [X0,X1] : multiply(X0,identity) = multiply(X1,inverse(multiply(inverse(X0),X1))),
inference(superposition,[],[f218,f212]) ).
fof(f575,plain,
! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
inference(forward_demodulation,[],[f560,f90]) ).
fof(f578,plain,
! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
inference(forward_demodulation,[],[f557,f90]) ).
fof(f633,plain,
inverse(v) = multiply(u,inverse(sF0)),
inference(superposition,[],[f578,f21]) ).
fof(f1060,definition,
( spl2_15
<=> subgroup2_member(inverse(u)) ),
introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition]) ).
fof(f1061,plain,
( subgroup2_member(inverse(u))
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f1060]) ).
fof(f1062,plain,
( ~ subgroup2_member(inverse(u))
| spl2_15 ),
inference(avatar_component_clause,[],[f1060]) ).
fof(f1169,definition,
( spl2_20
<=> subgroup1_member(inverse(v)) ),
introduced(definition,[new_symbols(definition,[spl2_20])],[avatar_definition]) ).
fof(f1170,plain,
( subgroup1_member(inverse(v))
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f1171,plain,
( ~ subgroup1_member(inverse(v))
| spl2_20 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f1208,plain,
! [X0,X1] : multiply(inverse(X1),X0) = inverse(multiply(inverse(X0),X1)),
inference(superposition,[],[f217,f575]) ).
fof(f1309,plain,
! [X2,X0,X1] : multiply(X2,inverse(multiply(X1,X2))) = multiply(inverse(multiply(X0,X1)),multiply(X0,identity)),
inference(superposition,[],[f226,f212]) ).
fof(f1379,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),X0) = multiply(X2,inverse(multiply(X1,X2))),
inference(forward_demodulation,[],[f1309,f90]) ).
fof(f1424,plain,
! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
inference(forward_demodulation,[],[f1379,f578]) ).
fof(f1506,plain,
! [X0,X1] :
( subgroup1_member(multiply(X1,inverse(X0)))
| ~ subgroup1_member(inverse(multiply(inverse(X1),X0))) ),
inference(superposition,[],[f13,f1424]) ).
fof(f1517,plain,
! [X0,X1] :
( ~ subgroup1_member(multiply(inverse(X0),X1))
| subgroup1_member(multiply(X1,inverse(X0))) ),
inference(forward_demodulation,[],[f1506,f1208]) ).
fof(f2649,plain,
! [X0,X1] :
( ~ product(v,X0,X1)
| ~ subgroup2_member(X1)
| ~ subgroup2_member(u)
| subgroup2_member(multiply(sF1,X0)) ),
inference(resolution,[],[f159,f12]) ).
fof(f2686,plain,
! [X0,X1] :
( ~ product(v,X0,X1)
| ~ subgroup2_member(X1)
| subgroup2_member(multiply(sF1,X0)) ),
inference(forward_subsumption_resolution,[],[f2649,f18]) ).
fof(f2943,plain,
! [X0,X1] :
( ~ subgroup2_member(multiply(sF0,X0))
| ~ product(u,X0,X1)
| subgroup2_member(multiply(sF1,X1)) ),
inference(resolution,[],[f158,f2686]) ).
fof(f4126,plain,
( ~ subgroup2_member(u)
| spl2_15 ),
inference(resolution,[],[f1062,f11]) ).
fof(f4127,plain,
( $false
| spl2_15 ),
inference(forward_subsumption_resolution,[],[f4126,f18]) ).
fof(f4128,plain,
spl2_15,
inference(avatar_contradiction_clause,[],[f4127]) ).
fof(f4892,plain,
! [X0,X1] :
( ~ subgroup1_member(multiply(X0,X1))
| subgroup1_member(multiply(X1,X0)) ),
inference(superposition,[],[f1517,f237]) ).
fof(f4981,plain,
( ~ subgroup1_member(inverse(v))
| subgroup1_member(multiply(inverse(sF0),u)) ),
inference(superposition,[],[f4892,f633]) ).
fof(f5728,plain,
! [X0,X1] :
( ~ product(u,multiply(X0,inverse(sF0)),X1)
| subgroup2_member(multiply(sF1,X1))
| ~ subgroup2_member(X0) ),
inference(resolution,[],[f2943,f14]) ).
fof(f7433,plain,
( ~ subgroup1_member(v)
| spl2_20 ),
inference(resolution,[],[f1171,f9]) ).
fof(f7434,plain,
( $false
| spl2_20 ),
inference(forward_subsumption_resolution,[],[f7433,f17]) ).
fof(f7435,plain,
spl2_20,
inference(avatar_contradiction_clause,[],[f7434]) ).
fof(f7436,plain,
( subgroup1_member(multiply(inverse(sF0),u))
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f4981,f1170]) ).
fof(f7449,plain,
( subgroup1_member(multiply(inverse(sF0),sF1))
| ~ spl2_20 ),
inference(resolution,[],[f7436,f322]) ).
fof(f7455,plain,
( subgroup1_member(multiply(sF1,inverse(sF0)))
| ~ spl2_20 ),
inference(resolution,[],[f7449,f4892]) ).
fof(f8428,plain,
( subgroup2_member(multiply(sF1,inverse(sF0)))
| ~ subgroup2_member(inverse(u)) ),
inference(resolution,[],[f5728,f299]) ).
fof(f8450,plain,
( subgroup2_member(multiply(sF1,inverse(sF0)))
| ~ spl2_15 ),
inference(forward_subsumption_resolution,[],[f8428,f1061]) ).
fof(f8458,plain,
( ~ subgroup1_member(multiply(sF1,inverse(sF0)))
| identity = multiply(sF1,inverse(sF0))
| ~ spl2_15 ),
inference(resolution,[],[f8450,f16]) ).
fof(f8459,plain,
( identity = multiply(sF1,inverse(sF0))
| ~ spl2_15
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f8458,f7455]) ).
fof(f8516,plain,
( inverse(inverse(sF0)) = multiply(inverse(identity),sF1)
| ~ spl2_15
| ~ spl2_20 ),
inference(superposition,[],[f1424,f8459]) ).
fof(f8523,plain,
( multiply(identity,sF1) = inverse(inverse(sF0))
| ~ spl2_15
| ~ spl2_20 ),
inference(forward_demodulation,[],[f8516,f118]) ).
fof(f8541,plain,
( sF0 = multiply(identity,sF1)
| ~ spl2_15
| ~ spl2_20 ),
inference(forward_demodulation,[],[f8523,f237]) ).
fof(f8551,plain,
( sF0 = sF1
| ~ spl2_15
| ~ spl2_20 ),
inference(forward_demodulation,[],[f8541,f92]) ).
fof(f8553,plain,
( $false
| ~ spl2_15
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f8551,f24]) ).
fof(f8554,plain,
( ~ spl2_15
| ~ spl2_20 ),
inference(avatar_contradiction_clause,[],[f8553]) ).
cnf(s26,plain,
spl2_15,
inference(sat_conversion,[],[f4128]) ).
cnf(s39,plain,
spl2_20,
inference(sat_conversion,[],[f7435]) ).
cnf(s49,plain,
( ~ spl2_15
| ~ spl2_20 ),
inference(sat_conversion,[],[f8554]) ).
cnf(s50,plain,
~ spl2_15,
inference(rat,[],[s49,s39]) ).
cnf(s52,plain,
$false,
inference(rat,[],[s26,s50]) ).
fof(f8555,plain,
$false,
inference(avatar_sat_refutation,[],[s52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP617-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n004.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 10:09:22 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 9.78/2.22 % (3282734)Input is clausal, will run a generic CNF schedule.
% 9.78/2.22 % (3282743)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3412528632:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.78/2.22 % (3282740)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3910278150:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.78/2.22 % (3282741)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2340106267:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.78/2.22 % (3282745)dis-21_1_sil=8000:lcm=predicate:random_seed=1180888731: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)
% 9.78/2.22 % (3282739)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=55255085:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.78/2.22 % (3282742)lrs+10_1_sil=8000:sp=occurrence:random_seed=3081681595:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.78/2.22 % (3282744)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2278732355:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.78/2.22 % (3282743)Instruction limit reached!
% 9.78/2.22 % (3282743)------------------------------
% 9.78/2.22 % (3282743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.78/2.22 % (3282743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.78/2.22 % (3282743)CaDiCaL version: 2.1.3
% 9.78/2.22 % (3282743)Termination reason: Instruction limit
% 9.78/2.22 % (3282743)Termination phase: Saturation
% 9.78/2.22 % (3282743)Time elapsed: 0.042 s
% 9.78/2.22 % (3282743)Peak memory usage: 88 MB
% 9.78/2.22 % (3282743)Instructions burned: 116 (million)
% 9.78/2.22 % (3282745)Instruction limit reached!
% 9.78/2.22 % (3282745)------------------------------
% 9.78/2.22 % (3282745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.78/2.22 % (3282745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.78/2.22 % (3282745)CaDiCaL version: 2.1.3
% 9.78/2.22 % (3282745)Termination reason: Instruction limit
% 9.78/2.22 % (3282745)Termination phase: Saturation
% 9.78/2.22 % (3282745)Time elapsed: 0.067 s
% 9.78/2.22 % (3282745)Peak memory usage: 88 MB
% 9.78/2.22 % (3282745)Instructions burned: 118 (million)
% 9.78/2.22 % (3282742)Instruction limit reached!
% 9.78/2.22 % (3282742)------------------------------
% 9.78/2.22 % (3282742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.78/2.22 % (3282742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.78/2.22 % (3282742)CaDiCaL version: 2.1.3
% 9.78/2.22 % (3282742)Termination reason: Instruction limit
% 9.78/2.22 % (3282742)Termination phase: Saturation
% 9.78/2.22 % (3282742)Time elapsed: 0.072 s
% 9.78/2.22 % (3282742)Peak memory usage: 88 MB
% 9.78/2.22 % (3282742)Instructions burned: 108 (million)
% 9.78/2.22 % (3282744)Instruction limit reached!
% 9.78/2.22 % (3282744)------------------------------
% 9.78/2.22 % (3282744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.78/2.22 % (3282744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.78/2.22 % (3282744)CaDiCaL version: 2.1.3
% 9.78/2.22 % (3282744)Termination reason: Instruction limit
% 9.78/2.22 % (3282744)Termination phase: Saturation
% 9.78/2.22 % (3282744)Time elapsed: 0.117 s
% 9.78/2.22 % (3282744)Peak memory usage: 89 MB
% 9.78/2.22 % (3282744)Instructions burned: 180 (million)
% 9.78/2.22 % (3282753)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=3318871519:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 9.78/2.22 % (3282753)Refutation not found, incomplete strategy
% 9.78/2.22 % (3282753)------------------------------
% 9.78/2.22 % (3282753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.78/2.22 % (3282753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.78/2.22 % (3282753)CaDiCaL version: 2.1.3
% 9.78/2.22 % (3282753)Termination reason: Refutation not found, incomplete strategy
% 9.78/2.22 % (3282753)Time elapsed: 0.003 s
% 9.78/2.22 % (3282753)Peak memory usage: 88 MB
% 9.78/2.22 % (3282753)Instructions burned: 6 (million)
% 9.78/2.22 % (3282754)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1120736894: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)
% 11.03/2.49 % (3282755)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2426639754:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 11.03/2.49 % (3282753)------------------------------
% 11.03/2.49 % (3282753)------------------------------
% 11.03/2.49 % (3282757)lrs+10_64_to=lpo:sil=8000:random_seed=3359914928:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 11.03/2.49 % (3282754)Instruction limit reached!
% 11.03/2.49 % (3282754)------------------------------
% 11.03/2.49 % (3282754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.49 % (3282754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.49 % (3282754)CaDiCaL version: 2.1.3
% 11.03/2.49 % (3282754)Termination reason: Instruction limit
% 11.03/2.49 % (3282754)Termination phase: Saturation
% 11.03/2.49 % (3282754)Time elapsed: 0.107 s
% 11.03/2.49 % (3282754)Peak memory usage: 89 MB
% 11.03/2.49 % (3282754)Instructions burned: 189 (million)
% 11.03/2.49 % (3282755)Instruction limit reached!
% 11.03/2.49 % (3282755)------------------------------
% 11.03/2.49 % (3282755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.49 % (3282755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.49 % (3282755)CaDiCaL version: 2.1.3
% 11.03/2.49 % (3282755)Termination reason: Instruction limit
% 11.03/2.49 % (3282755)Termination phase: Saturation
% 11.03/2.49 % (3282755)Time elapsed: 0.114 s
% 11.03/2.49 % (3282755)Peak memory usage: 88 MB
% 11.03/2.49 % (3282755)Instructions burned: 222 (million)
% 11.03/2.49 % (3282757)Instruction limit reached!
% 11.03/2.49 % (3282757)------------------------------
% 11.03/2.49 % (3282757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.49 % (3282757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.49 % (3282757)CaDiCaL version: 2.1.3
% 11.03/2.49 % (3282757)Termination reason: Instruction limit
% 11.03/2.49 % (3282757)Termination phase: Saturation
% 11.03/2.49 % (3282757)Time elapsed: 0.071 s
% 11.03/2.49 % (3282757)Peak memory usage: 89 MB
% 11.03/2.49 % (3282757)Instructions burned: 126 (million)
% 11.03/2.49 % (3282761)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1588755404:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 11.03/2.49 % (3282761)Instruction limit reached!
% 11.03/2.49 % (3282761)------------------------------
% 11.03/2.49 % (3282761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.49 % (3282761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.49 % (3282761)CaDiCaL version: 2.1.3
% 11.03/2.49 % (3282761)Termination reason: Instruction limit
% 11.03/2.49 % (3282761)Termination phase: Saturation
% 11.03/2.49 % (3282761)Time elapsed: 0.077 s
% 11.03/2.49 % (3282761)Peak memory usage: 90 MB
% 11.03/2.49 % (3282761)Instructions burned: 194 (million)
% 11.03/2.49 % (3282763)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4095965154:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 11.03/2.49 % (3282762)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3076692219:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 11.03/2.49 % (3282764)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=3579869265:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 11.03/2.49 % (3282764)Instruction limit reached!
% 11.03/2.49 % (3282764)------------------------------
% 11.03/2.49 % (3282764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.49 % (3282764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.49 % (3282764)CaDiCaL version: 2.1.3
% 11.03/2.49 % (3282764)Termination reason: Instruction limit
% 11.03/2.49 % (3282764)Termination phase: Saturation
% 11.03/2.49 % (3282764)Time elapsed: 0.057 s
% 11.03/2.49 % (3282764)Peak memory usage: 89 MB
% 11.03/2.49 % (3282764)Instructions burned: 106 (million)
% 11.03/2.49 % (3282762)Instruction limit reached!
% 11.03/2.49 % (3282762)------------------------------
% 11.03/2.49 % (3282762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.49 % (3282762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.49 % (3282762)CaDiCaL version: 2.1.3
% 11.03/2.49 % (3282762)Termination reason: Instruction limit
% 11.03/2.49 % (3282762)Termination phase: Saturation
% 11.03/2.49 % (3282762)Time elapsed: 0.109 s
% 11.03/2.49 % (3282762)Peak memory usage: 89 MB
% 11.03/2.49 % (3282762)Instructions burned: 158 (million)
% 11.03/2.49 % (3282766)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2448043213:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 11.03/2.49 % (3282766)Instruction limit reached!
% 11.03/2.49 % (3282766)------------------------------
% 11.03/2.49 % (3282766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.49 % (3282766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.49 % (3282766)CaDiCaL version: 2.1.3
% 11.03/2.49 % (3282766)Termination reason: Instruction limit
% 11.03/2.49 % (3282766)Termination phase: Saturation
% 11.03/2.49 % (3282766)Time elapsed: 0.034 s
% 11.03/2.49 % (3282766)Peak memory usage: 88 MB
% 11.03/2.49 % (3282766)Instructions burned: 109 (million)
% 11.03/2.49 % (3282770)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3404477342:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 11.03/2.49 % (3282771)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1829062755:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 11.03/2.49 % (3282773)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2872382668:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 11.03/2.49 % (3282773)Instruction limit reached!
% 11.03/2.49 % (3282773)------------------------------
% 11.03/2.49 % (3282773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.49 % (3282773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.49 % (3282773)CaDiCaL version: 2.1.3
% 11.03/2.49 % (3282773)Termination reason: Instruction limit
% 11.03/2.49 % (3282773)Termination phase: Saturation
% 11.03/2.49 % (3282773)Time elapsed: 0.045 s
% 11.03/2.49 % (3282773)Peak memory usage: 89 MB
% 11.03/2.49 % (3282773)Instructions burned: 137 (million)
% 11.03/2.49 % (3282770)Instruction limit reached!
% 11.03/2.49 % (3282770)------------------------------
% 11.03/2.49 % (3282770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.49 % (3282770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.49 % (3282770)CaDiCaL version: 2.1.3
% 11.03/2.49 % (3282770)Termination reason: Instruction limit
% 11.03/2.49 % (3282770)Termination phase: Saturation
% 11.03/2.49 % (3282770)Time elapsed: 0.162 s
% 11.03/2.49 % (3282770)Peak memory usage: 89 MB
% 11.03/2.49 % (3282770)Instructions burned: 243 (million)
% 11.03/2.49 % (3282777)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3162184761:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 11.03/2.49 % (3282778)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3006832275:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 11.03/2.49 % (3282777)Instruction limit reached!
% 11.03/2.49 % (3282777)------------------------------
% 11.03/2.49 % (3282777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.50 % (3282777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.50 % (3282777)CaDiCaL version: 2.1.3
% 11.03/2.50 % (3282777)Termination reason: Instruction limit
% 11.03/2.50 % (3282777)Termination phase: Saturation
% 11.03/2.50 % (3282777)Time elapsed: 0.148 s
% 11.03/2.50 % (3282777)Peak memory usage: 92 MB
% 11.03/2.50 % (3282777)Instructions burned: 500 (million)
% 11.03/2.50 % (3282778)Instruction limit reached!
% 11.03/2.50 % (3282778)------------------------------
% 11.03/2.50 % (3282778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.50 % (3282778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.50 % (3282778)CaDiCaL version: 2.1.3
% 11.03/2.50 % (3282778)Termination reason: Instruction limit
% 11.03/2.50 % (3282778)Termination phase: Saturation
% 11.03/2.50 % (3282778)Time elapsed: 0.128 s
% 11.03/2.50 % (3282778)Peak memory usage: 90 MB
% 11.03/2.50 % (3282778)Instructions burned: 191 (million)
% 11.03/2.50 % (3282781)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1182330111:i=264:kws=precedence:fsr=off_2987 on theBenchmark for (2987ds/264Mi)
% 11.03/2.50 % (3282739)First to succeed.
% 11.03/2.50 % (3282739)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3282734"
% 11.03/2.50 % (3282781)Instruction limit reached!
% 11.03/2.50 % (3282781)------------------------------
% 11.03/2.50 % (3282781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.50 % (3282781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.50 % (3282781)CaDiCaL version: 2.1.3
% 11.03/2.50 % (3282781)Termination reason: Instruction limit
% 11.03/2.50 % (3282781)Termination phase: Saturation
% 11.03/2.50 % (3282781)Time elapsed: 0.098 s
% 11.03/2.50 % (3282781)Peak memory usage: 91 MB
% 11.03/2.50 % (3282781)Instructions burned: 266 (million)
% 11.03/2.50 % (3282782)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3582262627:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 11.03/2.50 % (3282784)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=3899477252:i=3256:kws=precedence:bd=preordered:av=off_2985 on theBenchmark for (2985ds/3256Mi)
% 11.03/2.50 % (3282782)Instruction limit reached!
% 11.03/2.50 % (3282782)------------------------------
% 11.03/2.50 % (3282782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.50 % (3282782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.50 % (3282782)CaDiCaL version: 2.1.3
% 11.03/2.50 % (3282782)Termination reason: Instruction limit
% 11.03/2.50 % (3282782)Termination phase: Saturation
% 11.03/2.50 % (3282782)Time elapsed: 0.107 s
% 11.03/2.50 % (3282782)Peak memory usage: 89 MB
% 11.03/2.50 % (3282782)Instructions burned: 157 (million)
% 11.03/2.50 % (3282739)Refutation found. Thanks to Tanya!
% 11.03/2.50 % SZS status Unsatisfiable for theBenchmark
% 11.03/2.50 % SZS output start Proof for theBenchmark
% See solution above
% 12.02/2.59 % (3282739)------------------------------
% 12.02/2.59 % (3282739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.02/2.59 % (3282739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/2.59 % (3282739)CaDiCaL version: 2.1.3
% 12.02/2.59 % (3282739)Termination reason: Refutation
% 12.02/2.59 % (3282739)Time elapsed: 1.201 s
% 12.02/2.59 % (3282739)Peak memory usage: 135 MB
% 12.02/2.59 % (3282739)Instructions burned: 1799 (million)
% 12.02/2.59 % (3282739)------------------------------
% 12.02/2.59 % (3282739)------------------------------
% 12.02/2.59 % (3282734)Success in time 1.633 s
% 12.02/2.59 % Vampire exiting
%------------------------------------------------------------------------------