%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP062-1 : 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 : n018.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 10:12:29 AM UTC 2026
% Result : Unsatisfiable 11.77s 2.57s
% Output : Refutation 12.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 2
% Syntax : Number of formulae : 77 ( 75 unt; 0 def)
% Number of atoms : 81 ( 80 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 272 ( 272 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : inverse(multiply(X0,multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X0,X1))))))) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f3,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(reorient_equations,[],[f2]) ).
fof(f4,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(multiply(X1,multiply(X2,multiply(multiply(multiply(X3,multiply(X4,multiply(multiply(X5,inverse(X5)),inverse(multiply(X0,multiply(X3,X4)))))),X0),inverse(multiply(X6,multiply(X1,X2))))))) = X6,
inference(superposition,[],[f1,f1]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X0,multiply(X3,X1)))),multiply(multiply(X4,inverse(X4)),X0)))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f9,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(multiply(X5,inverse(X5)),inverse(multiply(X2,multiply(X0,X4)))) = inverse(multiply(multiply(multiply(X1,inverse(X1)),X2),multiply(multiply(multiply(X3,inverse(X3)),X0),multiply(multiply(X6,inverse(X6)),X4)))),
inference(superposition,[],[f5,f5]) ).
fof(f12,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(X0,X3)))),multiply(multiply(multiply(X4,inverse(X4)),X2),multiply(multiply(X5,inverse(X5)),X0)))) = X3,
inference(superposition,[],[f1,f5]) ).
fof(f98,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,inverse(X0)),inverse(multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,X2)))) = X3,
inference(superposition,[],[f12,f9]) ).
fof(f124,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : multiply(multiply(X7,inverse(X7)),X3) = multiply(multiply(X4,inverse(X4)),inverse(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,multiply(X2,X3)))),multiply(multiply(multiply(X5,inverse(X5)),X1),multiply(multiply(X6,inverse(X6)),X2))))),
inference(superposition,[],[f98,f9]) ).
fof(f145,plain,
! [X3,X7,X4] : multiply(multiply(X4,inverse(X4)),X3) = multiply(multiply(X7,inverse(X7)),X3),
inference(forward_demodulation,[],[f124,f12]) ).
fof(f256,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : multiply(X7,inverse(X7)) = inverse(multiply(X1,multiply(X2,multiply(multiply(multiply(X3,multiply(X4,multiply(multiply(X5,inverse(X5)),inverse(multiply(X6,multiply(X3,X4)))))),X6),inverse(multiply(multiply(X0,inverse(X0)),multiply(X1,X2))))))),
inference(superposition,[],[f4,f145]) ).
fof(f268,plain,
! [X0,X7] : multiply(X0,inverse(X0)) = multiply(X7,inverse(X7)),
inference(forward_demodulation,[],[f256,f4]) ).
fof(f283,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,inverse(X1)) = multiply(multiply(X2,multiply(X3,multiply(multiply(X4,inverse(X4)),inverse(multiply(X0,multiply(X2,X3)))))),X0),
inference(superposition,[],[f268,f1]) ).
fof(f337,plain,
! [X2,X3,X0,X1] : inverse(multiply(X1,multiply(inverse(X1),multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X0,inverse(X0)))))))) = X3,
inference(superposition,[],[f1,f268]) ).
fof(f344,plain,
! [X2,X3,X0,X1] : inverse(X3) = multiply(multiply(X1,inverse(X1)),inverse(multiply(inverse(multiply(X2,multiply(X0,inverse(X0)))),multiply(X2,X3)))),
inference(superposition,[],[f98,f268]) ).
fof(f688,plain,
! [X3,X0,X1] : inverse(multiply(X3,multiply(inverse(X3),X0))) = inverse(multiply(X1,multiply(inverse(X1),X0))),
inference(superposition,[],[f337,f98]) ).
fof(f807,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(X2),multiply(X1,multiply(multiply(X3,inverse(X3)),inverse(multiply(X0,multiply(inverse(X0),X1))))))) = X2,
inference(superposition,[],[f1,f688]) ).
fof(f852,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X2,multiply(inverse(X2),X1)) = inverse(multiply(inverse(multiply(X0,multiply(inverse(X0),X1))),multiply(X3,multiply(multiply(X4,inverse(X4)),inverse(multiply(X5,multiply(inverse(X5),X3))))))),
inference(superposition,[],[f807,f688]) ).
fof(f944,plain,
! [X2,X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = multiply(X2,multiply(inverse(X2),X1)),
inference(forward_demodulation,[],[f852,f807]) ).
fof(f981,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,inverse(X0))) = multiply(X1,multiply(inverse(X1),inverse(inverse(X2)))),
inference(superposition,[],[f944,f268]) ).
fof(f1162,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X5,inverse(X5)) = multiply(X0,multiply(inverse(X0),inverse(inverse(multiply(X1,multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(multiply(multiply(X4,inverse(X4)),multiply(X1,X2)))))))))),
inference(superposition,[],[f283,f981]) ).
fof(f1185,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X4),inverse(inverse(X0))) = multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X3,multiply(X0,multiply(X1,inverse(X1))))),multiply(X3,X4)))),
inference(superposition,[],[f98,f981]) ).
fof(f1201,plain,
! [X0,X4,X5] : multiply(X5,inverse(X5)) = multiply(X0,multiply(inverse(X0),inverse(multiply(X4,inverse(X4))))),
inference(forward_demodulation,[],[f1162,f1]) ).
fof(f1333,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X1,inverse(X1)),inverse(multiply(inverse(multiply(X2,multiply(X0,inverse(X0)))),multiply(X2,X3)))) = multiply(inverse(X3),inverse(multiply(X4,inverse(X4)))),
inference(superposition,[],[f98,f1201]) ).
fof(f1348,plain,
! [X3,X4] : inverse(X3) = multiply(inverse(X3),inverse(multiply(X4,inverse(X4)))),
inference(forward_demodulation,[],[f1333,f344]) ).
fof(f1358,plain,
! [X0,X4] : multiply(X0,inverse(multiply(X4,inverse(X4)))) = X0,
inference(superposition,[],[f1348,f807]) ).
fof(f1461,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,multiply(inverse(multiply(X1,inverse(X1))),multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X0)))))) = X3,
inference(superposition,[],[f1,f1358]) ).
fof(f1569,plain,
! [X2,X3,X0,X1] : inverse(multiply(X1,multiply(X2,X0))) = inverse(multiply(multiply(X1,X2),multiply(inverse(multiply(X3,inverse(X3))),X0))),
inference(superposition,[],[f1461,f98]) ).
fof(f1757,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,X1) = inverse(multiply(inverse(multiply(X3,inverse(X3))),multiply(X2,multiply(multiply(X4,inverse(X4)),inverse(multiply(X0,multiply(X1,X2))))))),
inference(superposition,[],[f1,f1569]) ).
fof(f1797,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(multiply(X0,X1),multiply(inverse(multiply(X3,inverse(X3))),X2)) = inverse(multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X4,multiply(multiply(X5,inverse(X5)),inverse(multiply(X6,multiply(inverse(X6),X4))))))),
inference(superposition,[],[f807,f1569]) ).
fof(f1816,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),multiply(inverse(multiply(X3,inverse(X3))),X2)),
inference(forward_demodulation,[],[f1797,f807]) ).
fof(f2086,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,multiply(X2,X0))),X1) = inverse(multiply(inverse(multiply(X3,inverse(X3))),multiply(X2,X0))),
inference(superposition,[],[f1757,f98]) ).
fof(f2285,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X0,multiply(X1,X2))),X0) = multiply(inverse(multiply(X3,multiply(X1,X2))),X3),
inference(superposition,[],[f2086,f2086]) ).
fof(f2470,plain,
! [X3,X0,X1] : multiply(inverse(multiply(X1,X0)),X1) = multiply(inverse(multiply(X3,X0)),X3),
inference(superposition,[],[f2285,f1358]) ).
fof(f2658,plain,
! [X2,X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(X2))))),X1),
inference(superposition,[],[f2470,f1358]) ).
fof(f2799,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(forward_demodulation,[],[f2658,f1358]) ).
fof(f2907,plain,
! [X0,X1] : inverse(multiply(inverse(X1),multiply(inverse(X0),X0))) = X1,
inference(superposition,[],[f1461,f2799]) ).
fof(f2924,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),multiply(X1,X2)) = multiply(multiply(inverse(X0),X0),multiply(inverse(multiply(X3,inverse(X3))),X2)),
inference(superposition,[],[f1816,f2799]) ).
fof(f2943,plain,
! [X2,X0,X1] : multiply(inverse(X1),multiply(X1,X2)) = multiply(inverse(X0),multiply(X0,X2)),
inference(forward_demodulation,[],[f2924,f1816]) ).
fof(f3021,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(X1),multiply(X1,X2)) = multiply(inverse(multiply(X3,multiply(X4,multiply(multiply(X5,inverse(X5)),inverse(multiply(X2,multiply(X3,X4))))))),multiply(X0,inverse(X0))),
inference(superposition,[],[f2943,f283]) ).
fof(f3180,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,inverse(X0))) = multiply(inverse(X1),multiply(X1,X2)),
inference(forward_demodulation,[],[f3021,f1]) ).
fof(f3546,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,X0) = multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X3,multiply(X0,multiply(X1,inverse(X1))))),multiply(X3,inverse(X4))))),
inference(superposition,[],[f98,f3180]) ).
fof(f3561,plain,
! [X0,X4] : multiply(X4,X0) = multiply(inverse(inverse(X4)),inverse(inverse(X0))),
inference(forward_demodulation,[],[f3546,f1185]) ).
fof(f3759,plain,
! [X0,X1] : inverse(X1) = inverse(multiply(inverse(X0),multiply(X0,X1))),
inference(superposition,[],[f2907,f2943]) ).
fof(f3769,plain,
! [X0,X1] : multiply(X1,inverse(X1)) = inverse(multiply(X0,inverse(X0))),
inference(superposition,[],[f2907,f1201]) ).
fof(f3779,plain,
! [X0,X1] : inverse(multiply(X1,multiply(inverse(X1),inverse(X0)))) = X0,
inference(superposition,[],[f688,f2907]) ).
fof(f4040,plain,
! [X2,X3,X0,X1] : inverse(X3) = multiply(multiply(X1,inverse(X1)),inverse(multiply(inverse(multiply(X2,inverse(multiply(X0,inverse(X0))))),multiply(X2,X3)))),
inference(superposition,[],[f98,f3769]) ).
fof(f4078,plain,
! [X0,X1] : multiply(X1,multiply(X0,inverse(X0))) = X1,
inference(superposition,[],[f1358,f3769]) ).
fof(f4082,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),multiply(multiply(X0,inverse(X0)),X3)),
inference(superposition,[],[f1816,f3769]) ).
fof(f4146,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,inverse(X2))) = multiply(inverse(inverse(X1)),inverse(multiply(X0,inverse(X0)))),
inference(superposition,[],[f3561,f3769]) ).
fof(f4148,plain,
! [X2,X1] : multiply(X1,multiply(X2,inverse(X2))) = inverse(inverse(X1)),
inference(forward_demodulation,[],[f4146,f1348]) ).
fof(f4193,plain,
! [X2,X3,X1] : inverse(X3) = multiply(multiply(X1,inverse(X1)),inverse(multiply(inverse(X2),multiply(X2,X3)))),
inference(forward_demodulation,[],[f4040,f1358]) ).
fof(f4258,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(forward_demodulation,[],[f4148,f4078]) ).
fof(f4265,plain,
! [X3,X1] : inverse(X3) = multiply(multiply(X1,inverse(X1)),inverse(X3)),
inference(forward_demodulation,[],[f4193,f3759]) ).
fof(f4293,plain,
! [X2,X3,X0,X1] : inverse(X0) = multiply(X1,multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(multiply(X0,multiply(X1,X2)))))),
inference(superposition,[],[f4258,f1]) ).
fof(f4417,plain,
! [X2,X0,X1] : inverse(X0) = multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2))))),
inference(forward_demodulation,[],[f4293,f4265]) ).
fof(f4513,plain,
! [X2,X3,X0,X1] : inverse(X1) = multiply(X2,multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,multiply(X2,multiply(X3,inverse(X3))))))),
inference(superposition,[],[f4417,f145]) ).
fof(f4652,plain,
! [X2,X3,X1] : inverse(X1) = multiply(X2,inverse(multiply(X1,multiply(X2,multiply(X3,inverse(X3)))))),
inference(forward_demodulation,[],[f4513,f4265]) ).
fof(f4743,plain,
! [X2,X1] : inverse(X1) = multiply(X2,inverse(multiply(X1,X2))),
inference(forward_demodulation,[],[f4652,f4078]) ).
fof(f4819,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(inverse(multiply(X1,inverse(X1))),inverse(inverse(X0))),
inference(superposition,[],[f4743,f1348]) ).
fof(f4835,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(inverse(X1),X1),X0),
inference(superposition,[],[f4743,f2907]) ).
fof(f4843,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(X3,X0))))) = multiply(multiply(multiply(multiply(X4,inverse(X4)),X2),multiply(multiply(X5,inverse(X5)),X3)),X0),
inference(superposition,[],[f4743,f12]) ).
fof(f4880,plain,
! [X2,X0,X1] : inverse(multiply(X1,inverse(X0))) = inverse(multiply(X2,multiply(inverse(X2),inverse(multiply(X0,inverse(X1)))))),
inference(superposition,[],[f688,f4743]) ).
fof(f4881,plain,
! [X2,X3,X0,X1] : multiply(multiply(X1,X2),inverse(X0)) = multiply(X1,multiply(X2,inverse(multiply(X0,inverse(multiply(X3,inverse(X3))))))),
inference(superposition,[],[f1816,f4743]) ).
fof(f4919,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),inverse(X0)) = multiply(X1,multiply(X2,inverse(X0))),
inference(forward_demodulation,[],[f4881,f1358]) ).
fof(f4920,plain,
! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
inference(forward_demodulation,[],[f4880,f3779]) ).
fof(f4948,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(X3,X0))))) = multiply(multiply(multiply(X4,inverse(X4)),multiply(X2,X3)),X0),
inference(forward_demodulation,[],[f4843,f4082]) ).
fof(f4955,plain,
! [X0,X1] : multiply(multiply(inverse(X1),X1),X0) = X0,
inference(forward_demodulation,[],[f4835,f4258]) ).
fof(f4971,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X1))),X0) = X0,
inference(forward_demodulation,[],[f4819,f4258]) ).
fof(f5008,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(multiply(X4,inverse(X4)),multiply(X2,X3)),X0) = multiply(multiply(X2,multiply(X3,X0)),inverse(multiply(X1,inverse(X1)))),
inference(forward_demodulation,[],[f4948,f4920]) ).
fof(f5020,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X1)),X0) = X0,
inference(forward_demodulation,[],[f4971,f4920]) ).
fof(f5041,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(multiply(X4,inverse(X4)),multiply(X2,X3)),X0) = multiply(X2,multiply(multiply(X3,X0),inverse(multiply(X1,inverse(X1))))),
inference(forward_demodulation,[],[f5008,f4919]) ).
fof(f5056,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(multiply(X4,inverse(X4)),multiply(X2,X3)),X0) = multiply(X2,multiply(X3,multiply(X0,inverse(multiply(X1,inverse(X1)))))),
inference(forward_demodulation,[],[f5041,f4919]) ).
fof(f5061,plain,
! [X2,X3,X0,X4] : multiply(X2,multiply(X3,X0)) = multiply(multiply(multiply(X4,inverse(X4)),multiply(X2,X3)),X0),
inference(forward_demodulation,[],[f5056,f1358]) ).
fof(f5063,plain,
! [X2,X3,X0] : multiply(X2,multiply(X3,X0)) = multiply(multiply(X2,X3),X0),
inference(forward_demodulation,[],[f5061,f5020]) ).
fof(f5065,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(unit_resulting_resolution,[],[f3,f2799,f5063]) ).
fof(f5442,plain,
$false,
inference(forward_subsumption_resolution,[],[f5065,f4955]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP062-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n018.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 09:19:53 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 10.47/2.39 % (2065814)Input is clausal, will run a generic CNF schedule.
% 10.47/2.39 % (2065825)dis-21_1_sil=8000:lcm=predicate:random_seed=142630536: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)
% 10.47/2.39 % (2065825)Refutation not found, incomplete strategy
% 10.47/2.39 % (2065825)------------------------------
% 10.47/2.39 % (2065825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.39 % (2065825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.39 % (2065825)CaDiCaL version: 2.1.3
% 10.47/2.39 % (2065825)Termination reason: Refutation not found, incomplete strategy
% 10.47/2.39 % (2065825)Time elapsed: 0.001 s
% 10.47/2.39 % (2065825)Peak memory usage: 88 MB
% 10.47/2.39 % (2065822)lrs+10_1_sil=8000:sp=occurrence:random_seed=2147631032:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.47/2.39 % (2065823)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=848320597:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.47/2.39 % (2065821)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3395012497:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.47/2.39 % (2065820)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3042505965:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.47/2.39 % (2065819)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=2880840990:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.47/2.39 % (2065824)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=832154084:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.47/2.39 % (2065822)Instruction limit reached!
% 10.47/2.39 % (2065822)------------------------------
% 10.47/2.39 % (2065822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.39 % (2065822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.39 % (2065822)CaDiCaL version: 2.1.3
% 10.47/2.39 % (2065822)Termination reason: Instruction limit
% 10.47/2.39 % (2065822)Termination phase: Saturation
% 10.47/2.39 % (2065822)Time elapsed: 0.063 s
% 10.47/2.39 % (2065822)Peak memory usage: 89 MB
% 10.47/2.39 % (2065822)Instructions burned: 108 (million)
% 10.47/2.39 % (2065823)Instruction limit reached!
% 10.47/2.39 % (2065823)------------------------------
% 10.47/2.39 % (2065823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.39 % (2065823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.39 % (2065823)CaDiCaL version: 2.1.3
% 10.47/2.39 % (2065823)Termination reason: Instruction limit
% 10.47/2.39 % (2065823)Termination phase: Saturation
% 10.47/2.39 % (2065823)Time elapsed: 0.070 s
% 10.47/2.39 % (2065823)Peak memory usage: 89 MB
% 10.47/2.39 % (2065823)Instructions burned: 114 (million)
% 10.47/2.39 % (2065824)Instruction limit reached!
% 10.47/2.39 % (2065824)------------------------------
% 10.47/2.39 % (2065824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.39 % (2065824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.39 % (2065824)CaDiCaL version: 2.1.3
% 10.47/2.39 % (2065824)Termination reason: Instruction limit
% 10.47/2.39 % (2065824)Termination phase: Saturation
% 10.47/2.39 % (2065824)Time elapsed: 0.098 s
% 10.47/2.39 % (2065824)Peak memory usage: 90 MB
% 10.47/2.39 % (2065824)Instructions burned: 182 (million)
% 10.47/2.39 % (2065825)------------------------------
% 10.47/2.39 % (2065825)------------------------------
% 10.47/2.39 % (2065833)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=2601716397:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.47/2.39 % (2065833)Refutation not found, incomplete strategy
% 10.47/2.39 % (2065833)------------------------------
% 10.47/2.39 % (2065833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.39 % (2065833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.39 % (2065833)CaDiCaL version: 2.1.3
% 10.47/2.39 % (2065833)Termination reason: Refutation not found, incomplete strategy
% 10.47/2.39 % (2065833)Time elapsed: 0.001 s
% 10.47/2.39 % (2065833)Peak memory usage: 88 MB
% 10.47/2.39 % (2065834)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1389442123: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)
% 11.77/2.57 % (2065834)Refutation not found, incomplete strategy
% 11.77/2.57 % (2065834)------------------------------
% 11.77/2.57 % (2065834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.57 % (2065834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.57 % (2065834)CaDiCaL version: 2.1.3
% 11.77/2.57 % (2065834)Termination reason: Refutation not found, incomplete strategy
% 11.77/2.57 % (2065834)Time elapsed: 0.001 s
% 11.77/2.57 % (2065834)Peak memory usage: 88 MB
% 11.77/2.57 % (2065836)lrs+10_64_to=lpo:sil=8000:random_seed=2871624439:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 11.77/2.57 % (2065835)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=293161413:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 11.77/2.57 % (2065835)Refutation not found, incomplete strategy
% 11.77/2.57 % (2065835)------------------------------
% 11.77/2.57 % (2065835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.57 % (2065835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.57 % (2065835)CaDiCaL version: 2.1.3
% 11.77/2.57 % (2065835)Termination reason: Refutation not found, incomplete strategy
% 11.77/2.57 % (2065835)Time elapsed: 0.001 s
% 11.77/2.57 % (2065835)Peak memory usage: 88 MB
% 11.77/2.57 % (2065836)Instruction limit reached!
% 11.77/2.57 % (2065836)------------------------------
% 11.77/2.57 % (2065836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.57 % (2065836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.57 % (2065836)CaDiCaL version: 2.1.3
% 11.77/2.57 % (2065836)Termination reason: Instruction limit
% 11.77/2.57 % (2065836)Termination phase: Saturation
% 11.77/2.57 % (2065836)Time elapsed: 0.039 s
% 11.77/2.57 % (2065836)Peak memory usage: 89 MB
% 11.77/2.57 % (2065836)Instructions burned: 126 (million)
% 11.77/2.57 % (2065841)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1541544969:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 11.77/2.57 % (2065833)------------------------------
% 11.77/2.57 % (2065833)------------------------------
% 11.77/2.57 % (2065834)------------------------------
% 11.77/2.57 % (2065834)------------------------------
% 11.77/2.57 % (2065841)Instruction limit reached!
% 11.77/2.57 % (2065841)------------------------------
% 11.77/2.57 % (2065841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.57 % (2065841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.57 % (2065841)CaDiCaL version: 2.1.3
% 11.77/2.57 % (2065841)Termination reason: Instruction limit
% 11.77/2.57 % (2065841)Termination phase: Saturation
% 11.77/2.57 % (2065841)Time elapsed: 0.060 s
% 11.77/2.57 % (2065841)Peak memory usage: 90 MB
% 11.77/2.57 % (2065841)Instructions burned: 196 (million)
% 11.77/2.57 % (2065835)------------------------------
% 11.77/2.57 % (2065835)------------------------------
% 11.77/2.57 % (2065845)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=2085282377:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 11.77/2.57 % (2065843)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2488614735:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 11.77/2.57 % (2065845)Instruction limit reached!
% 11.77/2.57 % (2065845)------------------------------
% 11.77/2.57 % (2065845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.57 % (2065845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.57 % (2065845)CaDiCaL version: 2.1.3
% 11.77/2.57 % (2065845)Termination reason: Instruction limit
% 11.77/2.57 % (2065845)Termination phase: Saturation
% 11.77/2.57 % (2065845)Time elapsed: 0.034 s
% 11.77/2.57 % (2065845)Peak memory usage: 89 MB
% 11.77/2.57 % (2065845)Instructions burned: 106 (million)
% 11.77/2.57 % (2065844)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=12301549:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 11.77/2.57 % (2065846)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=198686818:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 11.77/2.57 % (2065846)Refutation not found, incomplete strategy
% 11.77/2.57 % (2065846)------------------------------
% 11.77/2.57 % (2065846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.57 % (2065846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.57 % (2065846)CaDiCaL version: 2.1.3
% 11.77/2.57 % (2065846)Termination reason: Refutation not found, incomplete strategy
% 11.77/2.57 % (2065846)Time elapsed: 0.001 s
% 11.77/2.57 % (2065846)Peak memory usage: 88 MB
% 11.77/2.57 % (2065843)Instruction limit reached!
% 11.77/2.57 % (2065843)------------------------------
% 11.77/2.57 % (2065843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.57 % (2065843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.57 % (2065843)CaDiCaL version: 2.1.3
% 11.77/2.57 % (2065843)Termination reason: Instruction limit
% 11.77/2.57 % (2065843)Termination phase: Saturation
% 11.77/2.57 % (2065843)Time elapsed: 0.086 s
% 11.77/2.57 % (2065843)Peak memory usage: 91 MB
% 11.77/2.57 % (2065843)Instructions burned: 157 (million)
% 11.77/2.57 % (2065849)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2601100697:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 11.77/2.57 % (2065849)Instruction limit reached!
% 11.77/2.57 % (2065849)------------------------------
% 11.77/2.57 % (2065849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.57 % (2065849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.57 % (2065849)CaDiCaL version: 2.1.3
% 11.77/2.57 % (2065849)Termination reason: Instruction limit
% 11.77/2.57 % (2065849)Termination phase: Saturation
% 11.77/2.57 % (2065849)Time elapsed: 0.065 s
% 11.77/2.57 % (2065849)Peak memory usage: 91 MB
% 11.77/2.57 % (2065849)Instructions burned: 245 (million)
% 11.77/2.57 % (2065852)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1288268515:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 11.77/2.57 % (2065846)------------------------------
% 11.77/2.57 % (2065846)------------------------------
% 11.77/2.57 % (2065854)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2701348248:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 11.77/2.57 % (2065854)Instruction limit reached!
% 11.77/2.57 % (2065854)------------------------------
% 11.77/2.57 % (2065854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.57 % (2065854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.57 % (2065854)CaDiCaL version: 2.1.3
% 11.77/2.57 % (2065854)Termination reason: Instruction limit
% 11.77/2.57 % (2065854)Termination phase: Saturation
% 11.77/2.57 % (2065854)Time elapsed: 0.041 s
% 11.77/2.57 % (2065854)Peak memory usage: 89 MB
% 11.77/2.57 % (2065854)Instructions burned: 135 (million)
% 11.77/2.57 % (2065856)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2140358670:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 11.77/2.57 % (2065858)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1616655718:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 11.77/2.57 % (2065858)Instruction limit reached!
% 11.77/2.57 % (2065858)------------------------------
% 11.77/2.57 % (2065858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.57 % (2065858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.57 % (2065858)CaDiCaL version: 2.1.3
% 11.77/2.57 % (2065858)Termination reason: Instruction limit
% 11.77/2.57 % (2065858)Termination phase: Saturation
% 11.77/2.57 % (2065858)Time elapsed: 0.060 s
% 11.77/2.57 % (2065858)Peak memory usage: 90 MB
% 11.77/2.57 % (2065858)Instructions burned: 193 (million)
% 11.77/2.57 % (2065820)First to succeed.
% 11.77/2.57 % (2065820)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2065814"
% 11.77/2.57 % (2065861)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1491214194:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 11.77/2.57 % (2065856)Instruction limit reached!
% 11.77/2.57 % (2065856)------------------------------
% 11.77/2.57 % (2065856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.57 % (2065856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.57 % (2065856)CaDiCaL version: 2.1.3
% 11.77/2.57 % (2065856)Termination reason: Instruction limit
% 11.77/2.57 % (2065856)Termination phase: Saturation
% 11.77/2.57 % (2065856)Time elapsed: 0.291 s
% 11.77/2.57 % (2065856)Peak memory usage: 94 MB
% 11.77/2.57 % (2065856)Instructions burned: 500 (million)
% 11.77/2.57 % (2065861)Instruction limit reached!
% 11.77/2.57 % (2065861)------------------------------
% 11.77/2.57 % (2065861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.57 % (2065861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.57 % (2065861)CaDiCaL version: 2.1.3
% 11.77/2.57 % (2065861)Termination reason: Instruction limit
% 11.77/2.57 % (2065861)Termination phase: Saturation
% 11.77/2.57 % (2065861)Time elapsed: 0.083 s
% 11.77/2.57 % (2065861)Peak memory usage: 91 MB
% 11.77/2.57 % (2065861)Instructions burned: 267 (million)
% 11.77/2.57 % (2065863)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=451172220:cond=on:i=156:bs=on:gtg=exists_all:er=known_2984 on theBenchmark for (2984ds/156Mi)
% 11.77/2.57 % (2065864)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=1611616643:i=3256:kws=precedence:bd=preordered:av=off_2984 on theBenchmark for (2984ds/3256Mi)
% 11.77/2.57 % (2065820)Refutation found. Thanks to Tanya!
% 11.77/2.57 % SZS status Unsatisfiable for theBenchmark
% 11.77/2.57 % SZS output start Proof for theBenchmark
% See solution above
% 12.59/2.78 % (2065820)------------------------------
% 12.59/2.78 % (2065820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.59/2.78 % (2065820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.78 % (2065820)CaDiCaL version: 2.1.3
% 12.59/2.78 % (2065820)Termination reason: Refutation
% 12.59/2.78 % (2065820)Time elapsed: 1.273 s
% 12.59/2.78 % (2065820)Peak memory usage: 139 MB
% 12.59/2.78 % (2065820)Instructions burned: 2096 (million)
% 12.59/2.78 % (2065820)------------------------------
% 12.59/2.78 % (2065820)------------------------------
% 12.59/2.78 % (2065814)Success in time 1.703 s
% 12.59/2.78 % Vampire exiting
%------------------------------------------------------------------------------