%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP432-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 10:13:59 AM UTC 2026
% Result : Unsatisfiable 5.97s 1.95s
% Output : Refutation 8.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 6
% Syntax : Number of formulae : 80 ( 80 unt; 4 def)
% Number of atoms : 80 ( 79 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 12 ( 3 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 : 249 ( 249 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X1))),X0)))) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f3,definition,
sF0 = multiply(a3,b3),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f4,plain,
multiply(a3,b3) = sF0,
inference(reorient_equations,[],[f3]) ).
fof(f5,definition,
sF1 = multiply(sF0,c3),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f6,plain,
multiply(sF0,c3) = sF1,
inference(reorient_equations,[],[f5]) ).
fof(f7,definition,
sF2 = multiply(b3,c3),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f8,plain,
multiply(b3,c3) = sF2,
inference(reorient_equations,[],[f7]) ).
fof(f9,definition,
sF3 = multiply(a3,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f10,plain,
multiply(a3,sF2) = sF3,
inference(reorient_equations,[],[f9]) ).
fof(f11,plain,
sF1 != sF3,
inference(definition_folding,[],[f2,f10,f8,f6,f4]) ).
fof(f12,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,inverse(multiply(inverse(multiply(X2,multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X0,X2))),X4))),multiply(multiply(multiply(X5,inverse(X5)),inverse(X0)),X1)))) = X4,
inference(superposition,[],[f1,f1]) ).
fof(f17,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X0,X3))),multiply(X4,inverse(X4))),multiply(X0,X1)))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f18,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X0,X1))),multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,X5)))))),inverse(multiply(X5,X0))) = X4,
inference(superposition,[],[f1,f1]) ).
fof(f49,plain,
! [X2,X0,X1] : multiply(c3,inverse(multiply(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(b3,X1))),multiply(X2,inverse(X2))),sF2))) = X1,
inference(superposition,[],[f17,f8]) ).
fof(f140,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X0,b3))),multiply(X1,inverse(X1))) = multiply(c3,inverse(multiply(multiply(X0,multiply(X3,inverse(X3))),sF2))),
inference(superposition,[],[f49,f1]) ).
fof(f300,plain,
! [X3,X0,X1] : multiply(inverse(multiply(b3,multiply(c3,inverse(multiply(multiply(X0,multiply(X1,inverse(X1))),sF2))))),inverse(multiply(inverse(X3),X0))) = X3,
inference(superposition,[],[f18,f140]) ).
fof(f305,plain,
! [X2,X0,X1] : multiply(multiply(X2,inverse(X2)),inverse(multiply(b3,multiply(c3,inverse(multiply(multiply(X0,multiply(X1,inverse(X1))),sF2)))))) = X0,
inference(superposition,[],[f1,f140]) ).
fof(f337,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(b3,multiply(c3,inverse(multiply(multiply(X0,multiply(X1,inverse(X1))),sF2))))),inverse(multiply(inverse(multiply(X2,multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(multiply(X4,inverse(X4)),X2))),X5))),X0))) = X5,
inference(superposition,[],[f12,f305]) ).
fof(f347,plain,
! [X2,X3,X4,X5] : multiply(X2,multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(multiply(X4,inverse(X4)),X2))),X5)) = X5,
inference(forward_demodulation,[],[f337,f300]) ).
fof(f360,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X0,multiply(X2,inverse(X2))))),multiply(X3,inverse(X3))),multiply(X0,X4)) = X4,
inference(superposition,[],[f347,f1]) ).
fof(f370,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,X0) = multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(multiply(X5,inverse(X5)),multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X3,inverse(X3)),X1)))))),X0),
inference(superposition,[],[f347,f347]) ).
fof(f373,plain,
! [X3,X0] : multiply(X0,inverse(X0)) = multiply(X3,inverse(X3)),
inference(superposition,[],[f1,f347]) ).
fof(f380,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(X1,inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(X0)),multiply(X6,inverse(X6))),multiply(X3,X1)))) = multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(multiply(X5,inverse(X5)),X3))),X0),
inference(superposition,[],[f17,f347]) ).
fof(f393,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : multiply(X1,inverse(multiply(inverse(multiply(X2,X0)),multiply(multiply(multiply(X7,inverse(X7)),inverse(X4)),X1)))) = multiply(multiply(multiply(X5,inverse(X5)),inverse(multiply(multiply(X6,inverse(X6)),multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,X2)))))),X0),
inference(superposition,[],[f12,f347]) ).
fof(f505,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,inverse(X1))),multiply(multiply(X0,inverse(X0)),X2)) = X2,
inference(superposition,[],[f347,f373]) ).
fof(f519,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X3,inverse(X3)),X1)))) = multiply(X1,multiply(X0,inverse(X0))),
inference(superposition,[],[f347,f373]) ).
fof(f562,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(multiply(multiply(X3,inverse(X3)),inverse(inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(multiply(X1,inverse(X1)),X2)))))),multiply(X4,inverse(X4))),multiply(X2,X5)) = X5,
inference(superposition,[],[f360,f347]) ).
fof(f563,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(inverse(multiply(X0,inverse(X0))))),multiply(X3,inverse(X3))),multiply(inverse(multiply(X2,inverse(X2))),X4)) = X4,
inference(superposition,[],[f360,f505]) ).
fof(f578,plain,
! [X2,X3,X0,X1,X4] : inverse(X2) = multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(X3,inverse(X3))))),multiply(X4,inverse(X4))),multiply(X0,inverse(X0))),
inference(superposition,[],[f360,f373]) ).
fof(f586,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : multiply(X3,X0) = multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X4,inverse(X4))))),multiply(X5,inverse(X5))),multiply(X6,inverse(X6))))),multiply(X7,inverse(X7))),X0),
inference(superposition,[],[f360,f360]) ).
fof(f606,plain,
! [X3,X0,X1,X7] : multiply(X3,X0) = multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(inverse(X3))),multiply(X7,inverse(X7))),X0),
inference(backward_demodulation,[],[f586,f578]) ).
fof(f609,plain,
! [X2,X0,X4] : multiply(multiply(X0,inverse(X0)),multiply(inverse(multiply(X2,inverse(X2))),X4)) = X4,
inference(backward_demodulation,[],[f563,f606]) ).
fof(f610,plain,
! [X2,X0,X1,X5] : multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(multiply(X1,inverse(X1)),X2))),multiply(X2,X5)) = X5,
inference(backward_demodulation,[],[f562,f606]) ).
fof(f640,plain,
! [X2,X3,X0,X1] : inverse(X3) = multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(multiply(X2,inverse(X2)),X3))),multiply(X0,inverse(X0))),
inference(superposition,[],[f610,f373]) ).
fof(f701,plain,
! [X2,X0,X1] : inverse(X2) = multiply(X1,inverse(multiply(inverse(inverse(multiply(X0,inverse(X0)))),multiply(X2,X1)))),
inference(superposition,[],[f17,f609]) ).
fof(f2032,plain,
! [X2,X0,X1] : inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(inverse(multiply(X2,inverse(X2)))))))) = X1,
inference(superposition,[],[f1,f701]) ).
fof(f2036,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(inverse(inverse(multiply(X4,inverse(X4)))),multiply(X0,X3))) = multiply(X1,inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(inverse(X0))),multiply(X5,inverse(X5))),multiply(X3,X1)))),
inference(superposition,[],[f17,f701]) ).
fof(f2041,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(inverse(multiply(X4,inverse(X4)))),multiply(X0,X3))) = multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(multiply(X2,inverse(X2)),X3))),inverse(X0)),
inference(superposition,[],[f610,f701]) ).
fof(f2070,plain,
! [X3,X0,X1,X4] : inverse(multiply(inverse(inverse(multiply(X4,inverse(X4)))),multiply(X0,X3))) = multiply(X1,inverse(multiply(X0,multiply(X3,X1)))),
inference(forward_demodulation,[],[f2036,f606]) ).
fof(f2197,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(X1)) = multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X0,inverse(inverse(multiply(X3,inverse(X3))))))),X0),
inference(superposition,[],[f373,f2032]) ).
fof(f2414,plain,
! [X2,X0,X1] : multiply(X1,inverse(multiply(inverse(inverse(multiply(X2,inverse(X2)))),multiply(X0,inverse(X0))))) = X1,
inference(superposition,[],[f1,f2197]) ).
fof(f2733,plain,
! [X2,X3,X0,X1] : multiply(X3,inverse(inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(multiply(X1,inverse(X1)),inverse(inverse(multiply(X2,inverse(X2)))))))))) = X3,
inference(superposition,[],[f2414,f347]) ).
fof(f2858,plain,
! [X3,X1] : multiply(X3,inverse(multiply(X1,inverse(X1)))) = X3,
inference(forward_demodulation,[],[f2733,f2032]) ).
fof(f3117,plain,
! [X2,X0,X1] : inverse(multiply(X2,inverse(X2))) = multiply(multiply(X1,inverse(X1)),inverse(multiply(X0,inverse(X0)))),
inference(superposition,[],[f609,f2858]) ).
fof(f3156,plain,
! [X2,X1] : multiply(X1,inverse(X1)) = inverse(multiply(X2,inverse(X2))),
inference(forward_demodulation,[],[f3117,f2858]) ).
fof(f3314,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X3,inverse(X3)),X1)))) = multiply(X1,inverse(multiply(X0,inverse(X0)))),
inference(superposition,[],[f347,f3156]) ).
fof(f3316,plain,
! [X3,X0,X1] : multiply(multiply(X1,inverse(X1)),multiply(multiply(X0,inverse(X0)),X3)) = X3,
inference(superposition,[],[f609,f3156]) ).
fof(f3323,plain,
! [X2,X0,X1] : inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,inverse(multiply(X0,inverse(X0))))))) = X2,
inference(superposition,[],[f2032,f3156]) ).
fof(f3327,plain,
! [X0,X1] : multiply(X1,multiply(X0,inverse(X0))) = X1,
inference(superposition,[],[f2858,f3156]) ).
fof(f3462,plain,
! [X2,X3,X1] : inverse(multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X3,inverse(X3)),X1)))) = X1,
inference(backward_demodulation,[],[f519,f3327]) ).
fof(f3715,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(multiply(X5,inverse(X5)),X3))),X0) = multiply(X1,inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(X0)),multiply(X3,X1)))),
inference(backward_demodulation,[],[f380,f3327]) ).
fof(f3725,plain,
! [X3,X0,X1] : multiply(X3,X0) = multiply(multiply(multiply(X1,inverse(X1)),inverse(inverse(X3))),X0),
inference(backward_demodulation,[],[f606,f3327]) ).
fof(f3788,plain,
! [X2,X3,X1] : inverse(X3) = multiply(multiply(X1,inverse(X1)),inverse(multiply(multiply(X2,inverse(X2)),X3))),
inference(backward_demodulation,[],[f640,f3327]) ).
fof(f3899,plain,
! [X2,X1] : inverse(multiply(multiply(X1,inverse(X1)),inverse(X2))) = X2,
inference(forward_demodulation,[],[f3323,f2858]) ).
fof(f3906,plain,
! [X2,X0,X1,X7,X4,X5] : multiply(X1,inverse(multiply(inverse(multiply(X2,X0)),multiply(multiply(multiply(X7,inverse(X7)),inverse(X4)),X1)))) = multiply(multiply(multiply(X5,inverse(X5)),inverse(inverse(multiply(X4,X2)))),X0),
inference(backward_demodulation,[],[f393,f3316]) ).
fof(f3910,plain,
! [X3,X0,X1,X4] : multiply(X1,X0) = multiply(multiply(multiply(X4,inverse(X4)),inverse(inverse(multiply(multiply(X3,inverse(X3)),X1)))),X0),
inference(backward_demodulation,[],[f370,f3316]) ).
fof(f3919,plain,
! [X2,X3,X1] : inverse(multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X3,inverse(X3)),X1)))) = X1,
inference(forward_demodulation,[],[f3314,f2858]) ).
fof(f4169,plain,
! [X3,X0,X4] : inverse(multiply(inverse(inverse(multiply(X4,inverse(X4)))),multiply(X0,X3))) = multiply(inverse(X3),inverse(X0)),
inference(backward_demodulation,[],[f2041,f3788]) ).
fof(f4212,plain,
! [X2,X3,X0,X1] : multiply(inverse(X3),X0) = multiply(X1,inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(X0)),multiply(X3,X1)))),
inference(forward_demodulation,[],[f3715,f3788]) ).
fof(f4380,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(forward_demodulation,[],[f3462,f3788]) ).
fof(f4432,plain,
! [X3,X0,X1] : multiply(X1,X0) = multiply(multiply(multiply(X3,inverse(X3)),X1),X0),
inference(forward_demodulation,[],[f3910,f3725]) ).
fof(f4434,plain,
! [X2,X0,X1,X7,X4] : multiply(X1,inverse(multiply(inverse(multiply(X2,X0)),multiply(multiply(multiply(X7,inverse(X7)),inverse(X4)),X1)))) = multiply(multiply(X4,X2),X0),
inference(forward_demodulation,[],[f3906,f3725]) ).
fof(f4439,plain,
! [X3,X1] : multiply(multiply(X3,inverse(X3)),X1) = X1,
inference(forward_demodulation,[],[f3919,f3899]) ).
fof(f4522,plain,
! [X3,X0,X1] : multiply(X1,inverse(multiply(X0,multiply(X3,X1)))) = multiply(inverse(X3),inverse(X0)),
inference(backward_demodulation,[],[f2070,f4169]) ).
fof(f4987,plain,
! [X3,X0,X4] : multiply(inverse(X3),inverse(X0)) = inverse(multiply(multiply(X4,inverse(X4)),multiply(X0,X3))),
inference(backward_demodulation,[],[f4169,f4380]) ).
fof(f5141,plain,
! [X3,X0,X1] : multiply(inverse(X3),X0) = multiply(X1,inverse(multiply(inverse(X0),multiply(X3,X1)))),
inference(backward_demodulation,[],[f4212,f4432]) ).
fof(f5195,plain,
! [X2,X0,X1,X4] : multiply(multiply(X4,X2),X0) = multiply(X1,inverse(multiply(inverse(multiply(X2,X0)),multiply(inverse(X4),X1)))),
inference(forward_demodulation,[],[f4434,f4432]) ).
fof(f5668,plain,
! [X3,X0] : inverse(multiply(X0,X3)) = multiply(inverse(X3),inverse(X0)),
inference(forward_demodulation,[],[f4987,f4439]) ).
fof(f5838,plain,
! [X3,X0] : multiply(inverse(X3),X0) = multiply(inverse(X3),inverse(inverse(X0))),
inference(forward_demodulation,[],[f5141,f4522]) ).
fof(f5900,plain,
! [X2,X0,X4] : multiply(multiply(X4,X2),X0) = multiply(inverse(inverse(X4)),inverse(inverse(multiply(X2,X0)))),
inference(forward_demodulation,[],[f5195,f4522]) ).
fof(f6421,plain,
! [X3,X0] : multiply(inverse(X3),X0) = inverse(multiply(inverse(X0),X3)),
inference(forward_demodulation,[],[f5838,f5668]) ).
fof(f6469,plain,
! [X2,X0,X4] : multiply(multiply(X4,X2),X0) = inverse(multiply(inverse(multiply(X2,X0)),inverse(X4))),
inference(forward_demodulation,[],[f5900,f5668]) ).
fof(f6844,plain,
! [X2,X0,X4] : multiply(multiply(X4,X2),X0) = multiply(inverse(inverse(X4)),multiply(X2,X0)),
inference(forward_demodulation,[],[f6469,f6421]) ).
fof(f7101,plain,
! [X2,X0,X4] : multiply(multiply(X4,X2),X0) = multiply(X4,multiply(X2,X0)),
inference(forward_demodulation,[],[f6844,f4380]) ).
fof(f7852,plain,
! [X0] : multiply(sF0,X0) = multiply(a3,multiply(b3,X0)),
inference(superposition,[],[f7101,f4]) ).
fof(f8242,plain,
multiply(sF0,c3) = multiply(a3,sF2),
inference(superposition,[],[f7852,f8]) ).
fof(f8260,plain,
multiply(sF0,c3) = sF3,
inference(forward_demodulation,[],[f8242,f10]) ).
fof(f8263,plain,
sF1 = sF3,
inference(forward_demodulation,[],[f8260,f6]) ).
fof(f8264,plain,
$false,
inference(forward_subsumption_resolution,[],[f8263,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP432-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n016.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 10:09:17 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 5.97/1.95 % (2392551)Detected a unit-equality problem, will run specialized UEQ schedule.
% 5.97/1.95 % (2392558)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2983368883:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 5.97/1.95 % (2392556)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=2592139409:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 5.97/1.95 % (2392557)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3315438805:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 5.97/1.95 % (2392559)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1612891383:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 5.97/1.95 % (2392560)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=882737945:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 5.97/1.95 % (2392562)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1421393724:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 5.97/1.95 % (2392561)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=238481270:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 5.97/1.95 % (2392559)Instruction limit reached!
% 5.97/1.95 % (2392559)------------------------------
% 5.97/1.95 % (2392559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/1.95 % (2392559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/1.95 % (2392559)CaDiCaL version: 2.1.3
% 5.97/1.95 % (2392559)Termination reason: Instruction limit
% 5.97/1.95 % (2392559)Termination phase: Saturation
% 5.97/1.95 % (2392559)Time elapsed: 0.079 s
% 5.97/1.95 % (2392559)Peak memory usage: 89 MB
% 5.97/1.95 % (2392559)Instructions burned: 138 (million)
% 5.97/1.95 % (2392560)Instruction limit reached!
% 5.97/1.95 % (2392560)------------------------------
% 5.97/1.95 % (2392560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/1.95 % (2392560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/1.95 % (2392560)CaDiCaL version: 2.1.3
% 5.97/1.95 % (2392560)Termination reason: Instruction limit
% 5.97/1.95 % (2392560)Termination phase: Saturation
% 5.97/1.95 % (2392560)Time elapsed: 0.097 s
% 5.97/1.95 % (2392560)Peak memory usage: 89 MB
% 5.97/1.95 % (2392560)Instructions burned: 181 (million)
% 5.97/1.95 % (2392561)Instruction limit reached!
% 5.97/1.95 % (2392561)------------------------------
% 5.97/1.95 % (2392561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/1.95 % (2392561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/1.95 % (2392561)CaDiCaL version: 2.1.3
% 5.97/1.95 % (2392561)Termination reason: Instruction limit
% 5.97/1.95 % (2392561)Termination phase: Saturation
% 5.97/1.95 % (2392561)Time elapsed: 0.157 s
% 5.97/1.95 % (2392561)Peak memory usage: 91 MB
% 5.97/1.95 % (2392561)Instructions burned: 258 (million)
% 5.97/1.95 % (2392570)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1480324079:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 5.97/1.95 % (2392571)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=336434930:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 5.97/1.95 % (2392572)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2739368345:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 5.97/1.95 % (2392572)Instruction limit reached!
% 5.97/1.95 % (2392572)------------------------------
% 5.97/1.95 % (2392572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/1.95 % (2392572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/1.95 % (2392572)CaDiCaL version: 2.1.3
% 5.97/1.95 % (2392572)Termination reason: Instruction limit
% 5.97/1.95 % (2392572)Termination phase: Saturation
% 5.97/1.95 % (2392572)Time elapsed: 0.124 s
% 5.97/1.95 % (2392572)Peak memory usage: 89 MB
% 5.97/1.95 % (2392572)Instructions burned: 215 (million)
% 5.97/1.95 % (2392576)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=4240535097:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 5.97/1.95 % (2392562)Instruction limit reached!
% 5.97/1.95 % (2392562)------------------------------
% 5.97/1.95 % (2392562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/1.95 % (2392562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/1.95 % (2392562)CaDiCaL version: 2.1.3
% 5.97/1.95 % (2392562)Termination reason: Instruction limit
% 5.97/1.95 % (2392562)Termination phase: Saturation
% 5.97/1.95 % (2392562)Time elapsed: 0.630 s
% 5.97/1.95 % (2392562)Peak memory usage: 99 MB
% 5.97/1.95 % (2392562)Instructions burned: 1187 (million)
% 5.97/1.95 % (2392576)Instruction limit reached!
% 5.97/1.95 % (2392576)------------------------------
% 5.97/1.95 % (2392576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/1.95 % (2392576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/1.95 % (2392576)CaDiCaL version: 2.1.3
% 5.97/1.95 % (2392576)Termination reason: Instruction limit
% 5.97/1.95 % (2392576)Termination phase: Saturation
% 5.97/1.95 % (2392576)Time elapsed: 0.173 s
% 5.97/1.95 % (2392576)Peak memory usage: 90 MB
% 5.97/1.95 % (2392576)Instructions burned: 318 (million)
% 5.97/1.95 % (2392558)First to succeed.
% 5.97/1.95 % (2392558)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2392551"
% 5.97/1.95 % (2392578)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=1013188046:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 5.97/1.95 % (2392579)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2454418427:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2990 on theBenchmark for (2990ds/2836Mi)
% 5.97/1.95 % (2392558)Refutation found. Thanks to Tanya!
% 5.97/1.95 % SZS status Unsatisfiable for theBenchmark
% 5.97/1.95 % SZS output start Proof for theBenchmark
% See solution above
% 8.51/2.14 % (2392558)------------------------------
% 8.51/2.14 % (2392558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.51/2.14 % (2392558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/2.14 % (2392558)CaDiCaL version: 2.1.3
% 8.51/2.14 % (2392558)Termination reason: Refutation
% 8.51/2.14 % (2392558)Time elapsed: 0.836 s
% 8.51/2.14 % (2392558)Peak memory usage: 141 MB
% 8.51/2.14 % (2392558)Instructions burned: 2470 (million)
% 8.51/2.14 % (2392558)------------------------------
% 8.51/2.14 % (2392558)------------------------------
% 8.51/2.14 % (2392551)Success in time 1.119 s
% 8.51/2.14 % Vampire exiting
%------------------------------------------------------------------------------