%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP097-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 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 10:12:34 AM UTC 2026
% Result : Unsatisfiable 5.20s 1.62s
% Output : Refutation 6.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 26
% Syntax : Number of formulae : 125 ( 110 unt; 23 def)
% Number of atoms : 152 ( 123 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 54 ( 27 ~; 23 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 28 con; 0-2 aty)
% Number of variables : 88 ( 0 sgn 88 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,inverse(divide(divide(X1,X2),divide(X0,X2)))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f4,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(reorient_equations,[],[f3]) ).
fof(f5,plain,
( divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1))
| a2 != divide(divide(inverse(b2),inverse(b2)),inverse(a2))
| divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3))))
| divide(a4,inverse(b4)) != divide(b4,inverse(a4)) ),
inference(definition_unfolding,[],[f4,f2,f2,f2,f2,f2,f2,f2,f2,f2,f2]) ).
fof(f6,definition,
sF0 = inverse(a1),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f7,plain,
inverse(a1) = sF0,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF1 = divide(sF0,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f9,plain,
divide(sF0,sF0) = sF1,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF2 = inverse(b1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f11,plain,
inverse(b1) = sF2,
inference(reorient_equations,[],[f10]) ).
fof(f12,definition,
sF3 = divide(sF2,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f13,plain,
divide(sF2,sF2) = sF3,
inference(reorient_equations,[],[f12]) ).
fof(f14,definition,
sF4 = inverse(b2),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f15,plain,
inverse(b2) = sF4,
inference(reorient_equations,[],[f14]) ).
fof(f16,definition,
sF5 = divide(sF4,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f17,plain,
divide(sF4,sF4) = sF5,
inference(reorient_equations,[],[f16]) ).
fof(f18,definition,
sF6 = inverse(a2),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f19,plain,
inverse(a2) = sF6,
inference(reorient_equations,[],[f18]) ).
fof(f20,definition,
sF7 = divide(sF5,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f21,plain,
divide(sF5,sF6) = sF7,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF8 = inverse(b3),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f23,plain,
inverse(b3) = sF8,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF9 = divide(a3,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f25,plain,
divide(a3,sF8) = sF9,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF10 = inverse(c3),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f27,plain,
inverse(c3) = sF10,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF11 = divide(sF9,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f29,plain,
divide(sF9,sF10) = sF11,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF12 = divide(b3,sF10),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f31,plain,
divide(b3,sF10) = sF12,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF13 = inverse(sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f33,plain,
inverse(sF12) = sF13,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF14 = divide(a3,sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f35,plain,
divide(a3,sF13) = sF14,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF15 = inverse(b4),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f37,plain,
inverse(b4) = sF15,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF16 = divide(a4,sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f39,plain,
divide(a4,sF15) = sF16,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF17 = inverse(a4),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f41,plain,
inverse(a4) = sF17,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF18 = divide(b4,sF17),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f43,plain,
divide(b4,sF17) = sF18,
inference(reorient_equations,[],[f42]) ).
fof(f44,plain,
( sF1 != sF3
| a2 != sF7
| sF11 != sF14
| sF16 != sF18 ),
inference(definition_folding,[],[f5,f43,f41,f39,f37,f35,f33,f31,f27,f29,f27,f25,f23,f21,f19,f17,f15,f15,f13,f11,f11,f9,f7,f7]) ).
fof(f46,definition,
( spl19_1
<=> sF16 = sF18 ),
introduced(definition,[new_symbols(definition,[spl19_1])],[avatar_definition]) ).
fof(f48,plain,
( sF16 != sF18
| spl19_1 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f50,definition,
( spl19_2
<=> sF11 = sF14 ),
introduced(definition,[new_symbols(definition,[spl19_2])],[avatar_definition]) ).
fof(f54,definition,
( spl19_3
<=> a2 = sF7 ),
introduced(definition,[new_symbols(definition,[spl19_3])],[avatar_definition]) ).
fof(f58,definition,
( spl19_4
<=> sF1 = sF3 ),
introduced(definition,[new_symbols(definition,[spl19_4])],[avatar_definition]) ).
fof(f60,plain,
( sF1 != sF3
| spl19_4 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f61,plain,
( ~ spl19_1
| ~ spl19_2
| ~ spl19_3
| ~ spl19_4 ),
inference(avatar_split_clause,[],[f44,f58,f54,f50,f46]) ).
fof(f63,plain,
! [X2,X3,X0,X1] : divide(X1,inverse(divide(divide(X2,inverse(divide(divide(X0,X3),divide(X1,X3)))),X0))) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f108,plain,
! [X0,X1] : divide(X1,inverse(divide(X0,X0))) = X1,
inference(superposition,[],[f63,f1]) ).
fof(f115,plain,
! [X0,X1] : divide(X1,inverse(divide(X0,X1))) = X0,
inference(superposition,[],[f63,f108]) ).
fof(f127,plain,
! [X0,X1] : divide(inverse(divide(X1,X1)),inverse(X0)) = X0,
inference(superposition,[],[f115,f108]) ).
fof(f128,plain,
! [X0,X1] : divide(inverse(divide(X0,X1)),inverse(X0)) = X1,
inference(superposition,[],[f115,f115]) ).
fof(f168,plain,
! [X0,X1] : divide(X0,X0) = inverse(divide(X1,X1)),
inference(superposition,[],[f108,f127]) ).
fof(f173,plain,
! [X2,X0,X1] : divide(inverse(divide(X1,X1)),inverse(divide(divide(X2,inverse(X0)),X0))) = X2,
inference(superposition,[],[f1,f127]) ).
fof(f176,plain,
! [X2,X0] : divide(divide(X2,inverse(X0)),X0) = X2,
inference(forward_demodulation,[],[f173,f127]) ).
fof(f188,plain,
! [X0] : divide(X0,X0) = inverse(sF5),
inference(superposition,[],[f168,f17]) ).
fof(f189,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,X1),
inference(superposition,[],[f168,f168]) ).
fof(f256,plain,
! [X2,X3,X0,X1] : inverse(divide(divide(X2,X3),divide(X1,X3))) = divide(X1,inverse(divide(divide(X0,X0),X2))),
inference(superposition,[],[f63,f189]) ).
fof(f265,plain,
! [X0] : sF1 = divide(X0,X0),
inference(superposition,[],[f9,f189]) ).
fof(f266,plain,
! [X0] : sF3 = divide(X0,X0),
inference(superposition,[],[f13,f189]) ).
fof(f267,plain,
! [X0] : sF5 = divide(X0,X0),
inference(superposition,[],[f17,f189]) ).
fof(f268,plain,
sF5 = inverse(sF5),
inference(forward_demodulation,[],[f267,f188]) ).
fof(f269,plain,
sF3 = inverse(sF5),
inference(forward_demodulation,[],[f266,f188]) ).
fof(f270,plain,
sF1 = inverse(sF5),
inference(forward_demodulation,[],[f265,f188]) ).
fof(f272,plain,
! [X2,X3,X1] : inverse(divide(divide(X2,X3),divide(X1,X3))) = divide(X1,inverse(divide(inverse(sF5),X2))),
inference(forward_demodulation,[],[f256,f188]) ).
fof(f292,plain,
sF3 = sF5,
inference(forward_demodulation,[],[f269,f268]) ).
fof(f293,plain,
sF1 = sF5,
inference(forward_demodulation,[],[f270,f268]) ).
fof(f294,plain,
! [X2,X3,X1] : inverse(divide(divide(X2,X3),divide(X1,X3))) = divide(X1,inverse(divide(sF5,X2))),
inference(forward_demodulation,[],[f272,f268]) ).
fof(f380,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(superposition,[],[f176,f115]) ).
fof(f381,plain,
! [X0] : inverse(X0) = divide(inverse(sF5),X0),
inference(superposition,[],[f176,f188]) ).
fof(f385,plain,
! [X0,X1] : divide(X0,X1) = divide(X0,inverse(inverse(X1))),
inference(superposition,[],[f176,f176]) ).
fof(f388,plain,
! [X0,X1] : divide(X0,inverse(X1)) = divide(X1,inverse(X0)),
inference(superposition,[],[f115,f176]) ).
fof(f399,plain,
! [X0] : inverse(X0) = divide(sF5,X0),
inference(forward_demodulation,[],[f381,f268]) ).
fof(f415,plain,
sF7 = inverse(sF6),
inference(superposition,[],[f21,f399]) ).
fof(f423,plain,
! [X2,X0,X1] : inverse(inverse(divide(divide(X0,inverse(divide(divide(X1,X2),divide(sF5,X2)))),X1))) = X0,
inference(superposition,[],[f63,f399]) ).
fof(f436,plain,
! [X0,X1] : inverse(inverse(divide(divide(X0,divide(sF5,inverse(divide(sF5,X1)))),X1))) = X0,
inference(forward_demodulation,[],[f423,f294]) ).
fof(f447,plain,
! [X0,X1] : inverse(inverse(divide(divide(X0,inverse(inverse(divide(sF5,X1)))),X1))) = X0,
inference(forward_demodulation,[],[f436,f399]) ).
fof(f455,plain,
! [X0,X1] : inverse(inverse(divide(divide(X0,divide(sF5,X1)),X1))) = X0,
inference(forward_demodulation,[],[f447,f385]) ).
fof(f460,plain,
! [X0,X1] : inverse(inverse(divide(divide(X0,inverse(X1)),X1))) = X0,
inference(forward_demodulation,[],[f455,f399]) ).
fof(f462,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f460,f176]) ).
fof(f468,plain,
a2 = inverse(sF6),
inference(superposition,[],[f462,f19]) ).
fof(f471,plain,
a4 = inverse(sF17),
inference(superposition,[],[f462,f41]) ).
fof(f478,plain,
a2 = sF7,
inference(forward_demodulation,[],[f468,f415]) ).
fof(f480,plain,
spl19_3,
inference(avatar_split_clause,[],[f478,f54]) ).
fof(f493,plain,
! [X0,X1] : inverse(divide(X0,X1)) = divide(X1,X0),
inference(superposition,[],[f380,f115]) ).
fof(f695,plain,
! [X0,X1] : divide(X1,X0) = divide(inverse(X0),inverse(X1)),
inference(superposition,[],[f385,f388]) ).
fof(f838,plain,
! [X0,X1] : inverse(X1) = divide(divide(X0,X1),X0),
inference(superposition,[],[f176,f695]) ).
fof(f847,plain,
! [X0,X1] : inverse(X0) = divide(inverse(X1),divide(X0,X1)),
inference(superposition,[],[f380,f695]) ).
fof(f881,plain,
! [X2,X0,X1] : divide(X0,X2) = inverse(inverse(divide(divide(X0,X1),divide(X2,X1)))),
inference(superposition,[],[f838,f1]) ).
fof(f964,plain,
! [X2,X0,X1] : divide(X0,X2) = divide(divide(X0,X1),divide(X2,X1)),
inference(forward_demodulation,[],[f881,f462]) ).
fof(f993,plain,
! [X2,X0,X1] : divide(divide(X0,inverse(X1)),X2) = divide(X0,divide(X2,X1)),
inference(superposition,[],[f964,f176]) ).
fof(f995,plain,
! [X2,X3,X0,X1] : divide(divide(X0,X2),X3) = divide(divide(X0,X1),divide(X3,divide(X1,X2))),
inference(superposition,[],[f964,f964]) ).
fof(f999,plain,
! [X0] : divide(sF9,divide(X0,sF8)) = divide(a3,X0),
inference(superposition,[],[f964,f25]) ).
fof(f1939,plain,
inverse(sF12) = divide(sF10,b3),
inference(superposition,[],[f493,f31]) ).
fof(f1976,plain,
sF13 = divide(sF10,b3),
inference(forward_demodulation,[],[f1939,f33]) ).
fof(f2993,plain,
inverse(b4) = divide(inverse(sF17),sF18),
inference(superposition,[],[f847,f43]) ).
fof(f3048,plain,
inverse(b4) = divide(a4,sF18),
inference(forward_demodulation,[],[f2993,f471]) ).
fof(f3090,plain,
sF15 = divide(a4,sF18),
inference(forward_demodulation,[],[f3048,f37]) ).
fof(f3694,plain,
! [X0,X1] : divide(X0,divide(X1,b3)) = divide(divide(X0,sF8),X1),
inference(superposition,[],[f993,f23]) ).
fof(f4067,plain,
! [X0,X1] : divide(sF9,X1) = divide(divide(a3,X0),divide(X1,divide(X0,sF8))),
inference(superposition,[],[f964,f999]) ).
fof(f4084,plain,
! [X1] : divide(sF9,X1) = divide(divide(a3,sF8),X1),
inference(forward_demodulation,[],[f4067,f995]) ).
fof(f4111,plain,
! [X1] : divide(sF9,X1) = divide(a3,divide(X1,b3)),
inference(forward_demodulation,[],[f4084,f3694]) ).
fof(f6252,plain,
divide(sF9,sF10) = divide(a3,sF13),
inference(superposition,[],[f4111,f1976]) ).
fof(f6309,plain,
divide(sF9,sF10) = sF14,
inference(forward_demodulation,[],[f6252,f35]) ).
fof(f6340,plain,
sF11 = sF14,
inference(forward_demodulation,[],[f6309,f29]) ).
fof(f6356,plain,
spl19_2,
inference(avatar_split_clause,[],[f6340,f50]) ).
fof(f7650,plain,
sF18 = divide(inverse(sF15),inverse(a4)),
inference(superposition,[],[f128,f3090]) ).
fof(f7687,plain,
divide(a4,sF15) = sF18,
inference(forward_demodulation,[],[f7650,f695]) ).
fof(f7701,plain,
sF16 = sF18,
inference(forward_demodulation,[],[f7687,f39]) ).
fof(f7707,plain,
( $false
| spl19_1 ),
inference(forward_subsumption_resolution,[],[f7701,f48]) ).
fof(f7708,plain,
spl19_1,
inference(avatar_contradiction_clause,[],[f7707]) ).
fof(f7719,plain,
( sF1 != sF5
| spl19_4 ),
inference(forward_demodulation,[],[f60,f292]) ).
fof(f7720,plain,
( $false
| spl19_4 ),
inference(forward_subsumption_resolution,[],[f7719,f293]) ).
fof(f7721,plain,
spl19_4,
inference(avatar_contradiction_clause,[],[f7720]) ).
cnf(s1,plain,
( ~ spl19_1
| ~ spl19_2
| ~ spl19_3
| ~ spl19_4 ),
inference(sat_conversion,[],[f61]) ).
cnf(s2,plain,
spl19_3,
inference(sat_conversion,[],[f480]) ).
cnf(s3,plain,
spl19_2,
inference(sat_conversion,[],[f6356]) ).
cnf(s5,plain,
spl19_1,
inference(sat_conversion,[],[f7708]) ).
cnf(s6,plain,
spl19_4,
inference(sat_conversion,[],[f7721]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s6,s2,s3,s5]) ).
fof(f7722,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP097-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n005.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 09:18:47 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 5.20/1.62 % (3726353)Input is clausal, will run a generic CNF schedule.
% 5.20/1.62 % (3726400)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=2260982821:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.20/1.62 % (3726401)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=954089925:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.20/1.62 % (3726402)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3972822036:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.20/1.62 % (3726403)lrs+10_1_sil=8000:sp=occurrence:random_seed=3053808108:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.20/1.62 % (3726404)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=70494243:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.20/1.62 % (3726406)dis-21_1_sil=8000:lcm=predicate:random_seed=4017874439: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)
% 5.20/1.62 % (3726405)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1788931902:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.20/1.62 % (3726406)Refutation not found, incomplete strategy
% 5.20/1.62 % (3726406)------------------------------
% 5.20/1.62 % (3726406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.20/1.62 % (3726406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.62 % (3726406)CaDiCaL version: 2.1.3
% 5.20/1.62 % (3726406)Termination reason: Refutation not found, incomplete strategy
% 5.20/1.62 % (3726406)Time elapsed: 0.001 s
% 5.20/1.62 % (3726406)Peak memory usage: 88 MB
% 5.20/1.62 % (3726403)Instruction limit reached!
% 5.20/1.62 % (3726403)------------------------------
% 5.20/1.62 % (3726403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.20/1.62 % (3726403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.62 % (3726403)CaDiCaL version: 2.1.3
% 5.20/1.62 % (3726403)Termination reason: Instruction limit
% 5.20/1.62 % (3726403)Termination phase: Saturation
% 5.20/1.62 % (3726403)Time elapsed: 0.060 s
% 5.20/1.62 % (3726403)Peak memory usage: 90 MB
% 5.20/1.62 % (3726403)Instructions burned: 108 (million)
% 5.20/1.62 % (3726404)Instruction limit reached!
% 5.20/1.62 % (3726404)------------------------------
% 5.20/1.62 % (3726404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.20/1.62 % (3726404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.62 % (3726404)CaDiCaL version: 2.1.3
% 5.20/1.62 % (3726404)Termination reason: Instruction limit
% 5.20/1.62 % (3726404)Termination phase: Saturation
% 5.20/1.62 % (3726404)Time elapsed: 0.074 s
% 5.20/1.62 % (3726404)Peak memory usage: 90 MB
% 5.20/1.62 % (3726404)Instructions burned: 115 (million)
% 5.20/1.62 % (3726405)Instruction limit reached!
% 5.20/1.62 % (3726405)------------------------------
% 5.20/1.62 % (3726405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.20/1.62 % (3726405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.62 % (3726405)CaDiCaL version: 2.1.3
% 5.20/1.62 % (3726405)Termination reason: Instruction limit
% 5.20/1.62 % (3726405)Termination phase: Saturation
% 5.20/1.62 % (3726405)Time elapsed: 0.104 s
% 5.20/1.62 % (3726405)Peak memory usage: 91 MB
% 5.20/1.62 % (3726405)Instructions burned: 181 (million)
% 5.20/1.62 % (3726414)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=2044169914:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.20/1.62 % (3726414)Refutation not found, incomplete strategy
% 5.20/1.62 % (3726414)------------------------------
% 5.20/1.62 % (3726414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.20/1.62 % (3726414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.62 % (3726414)CaDiCaL version: 2.1.3
% 5.20/1.62 % (3726414)Termination reason: Refutation not found, incomplete strategy
% 5.20/1.62 % (3726414)Time elapsed: 0.001 s
% 5.20/1.62 % (3726414)Peak memory usage: 88 MB
% 5.20/1.62 % (3726415)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3058768295: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)
% 5.20/1.62 % (3726415)Refutation not found, incomplete strategy
% 5.20/1.62 % (3726415)------------------------------
% 5.20/1.62 % (3726415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.20/1.62 % (3726415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.62 % (3726415)CaDiCaL version: 2.1.3
% 5.20/1.62 % (3726415)Termination reason: Refutation not found, incomplete strategy
% 5.20/1.62 % (3726415)Time elapsed: 0.001 s
% 5.20/1.62 % (3726415)Peak memory usage: 88 MB
% 5.20/1.62 % (3726416)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3453760610:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.20/1.62 % (3726416)Refutation not found, incomplete strategy
% 5.20/1.62 % (3726416)------------------------------
% 5.20/1.62 % (3726416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.20/1.62 % (3726416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.62 % (3726416)CaDiCaL version: 2.1.3
% 5.20/1.62 % (3726416)Termination reason: Refutation not found, incomplete strategy
% 5.20/1.62 % (3726416)Time elapsed: 0.001 s
% 5.20/1.62 % (3726416)Peak memory usage: 88 MB
% 5.20/1.62 % (3726406)------------------------------
% 5.20/1.62 % (3726406)------------------------------
% 5.20/1.62 % (3726420)lrs+10_64_to=lpo:sil=8000:random_seed=3120777427:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.20/1.62 % (3726414)------------------------------
% 5.20/1.62 % (3726414)------------------------------
% 5.20/1.62 % (3726400)First to succeed.
% 5.20/1.62 % (3726400)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3726353"
% 5.20/1.62 % (3726420)Instruction limit reached!
% 5.20/1.62 % (3726420)------------------------------
% 5.20/1.62 % (3726420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.20/1.62 % (3726420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.62 % (3726420)CaDiCaL version: 2.1.3
% 5.20/1.62 % (3726420)Termination reason: Instruction limit
% 5.20/1.62 % (3726420)Termination phase: Saturation
% 5.20/1.62 % (3726420)Time elapsed: 0.077 s
% 5.20/1.62 % (3726420)Peak memory usage: 89 MB
% 5.20/1.62 % (3726420)Instructions burned: 127 (million)
% 5.20/1.62 % (3726415)------------------------------
% 5.20/1.62 % (3726415)------------------------------
% 5.20/1.62 % (3726416)------------------------------
% 5.20/1.62 % (3726416)------------------------------
% 5.20/1.62 % (3726422)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=637322793:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 5.20/1.62 % (3726423)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=583042479:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 5.20/1.62 % (3726424)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2671303387:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 5.20/1.62 % (3726422)Also succeeded, but the first one will report.
% 5.20/1.62 % (3726400)Refutation found. Thanks to Tanya!
% 5.20/1.62 % SZS status Unsatisfiable for theBenchmark
% 5.20/1.62 % SZS output start Proof for theBenchmark
% See solution above
% 6.07/1.82 % (3726400)------------------------------
% 6.07/1.82 % (3726400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.82 % (3726400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.82 % (3726400)CaDiCaL version: 2.1.3
% 6.07/1.82 % (3726400)Termination reason: Refutation
% 6.07/1.82 % (3726400)Time elapsed: 0.507 s
% 6.07/1.82 % (3726400)Peak memory usage: 133 MB
% 6.07/1.82 % (3726400)Instructions burned: 1318 (million)
% 6.07/1.82 % (3726400)------------------------------
% 6.07/1.82 % (3726400)------------------------------
% 6.07/1.82 % (3726353)Success in time 0.765 s
% 6.07/1.82 % Vampire exiting
%------------------------------------------------------------------------------