%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP002-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 10:12:04 AM UTC 2026
% Result : Unsatisfiable 4.51s 1.67s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 8
% Syntax : Number of formulae : 83 ( 83 unt; 0 def)
% Number of atoms : 83 ( 82 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 157 ( 157 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f5,axiom,
! [X0] : multiply(X0,identity) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
fof(f6,axiom,
! [X0] : multiply(X0,inverse(X0)) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
fof(f7,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(reorient_equations,[],[f6]) ).
fof(f8,axiom,
! [X0,X1] : commutator(X0,X1) = multiply(X0,multiply(X1,multiply(inverse(X0),inverse(X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutator) ).
fof(f9,axiom,
! [X0] : multiply(X0,multiply(X0,X0)) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_cubed_is_identity) ).
fof(f10,plain,
! [X0] : identity = multiply(X0,multiply(X0,X0)),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
commutator(commutator(a,b),b) != identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutator) ).
fof(f12,plain,
identity != commutator(commutator(a,b),b),
inference(reorient_equations,[],[f11]) ).
fof(f24,plain,
! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
inference(superposition,[],[f4,f7]) ).
fof(f25,plain,
! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(multiply(X0,X0),X1)),
inference(superposition,[],[f4,f10]) ).
fof(f28,plain,
! [X0,X1] : multiply(identity,X1) = multiply(inverse(X0),multiply(X0,X1)),
inference(superposition,[],[f4,f3]) ).
fof(f30,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
inference(superposition,[],[f4,f7]) ).
fof(f34,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,multiply(multiply(X0,X1),multiply(X0,X1)))),
inference(superposition,[],[f10,f4]) ).
fof(f36,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X0,X1))))),
inference(forward_demodulation,[],[f34,f4]) ).
fof(f39,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f28,f1]) ).
fof(f41,plain,
! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(X0,multiply(X0,X1))),
inference(forward_demodulation,[],[f25,f4]) ).
fof(f42,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f24,f1]) ).
fof(f44,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(X0,X1))) = X1,
inference(forward_demodulation,[],[f41,f1]) ).
fof(f50,plain,
! [X2,X0,X1] : commutator(X2,multiply(X0,X1)) = multiply(X2,multiply(X0,multiply(X1,multiply(inverse(X2),inverse(multiply(X0,X1)))))),
inference(superposition,[],[f8,f4]) ).
fof(f52,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(X2,multiply(inverse(multiply(X0,X1)),inverse(X2))))) = commutator(multiply(X0,X1),X2),
inference(superposition,[],[f8,f4]) ).
fof(f53,plain,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,multiply(inverse(X0),inverse(X1))),X2)) = multiply(commutator(X0,X1),X2),
inference(superposition,[],[f4,f8]) ).
fof(f57,plain,
! [X2,X0,X1] : multiply(commutator(X0,X1),X2) = multiply(X0,multiply(X1,multiply(multiply(inverse(X0),inverse(X1)),X2))),
inference(forward_demodulation,[],[f53,f4]) ).
fof(f65,plain,
! [X2,X0,X1] : multiply(commutator(X0,X1),X2) = multiply(X0,multiply(X1,multiply(inverse(X0),multiply(inverse(X1),X2)))),
inference(forward_demodulation,[],[f57,f4]) ).
fof(f82,plain,
! [X0] : multiply(X0,X0) = multiply(inverse(X0),identity),
inference(superposition,[],[f39,f10]) ).
fof(f85,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[],[f39,f4]) ).
fof(f86,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f39,f3]) ).
fof(f95,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f86,f5]) ).
fof(f97,plain,
! [X0] : inverse(X0) = multiply(X0,X0),
inference(forward_demodulation,[],[f82,f5]) ).
fof(f153,plain,
! [X0,X1] : multiply(inverse(X1),X0) = multiply(X1,multiply(X1,X0)),
inference(superposition,[],[f44,f42]) ).
fof(f211,plain,
! [X0,X1] : multiply(X1,inverse(multiply(X0,X1))) = multiply(X0,multiply(X0,identity)),
inference(superposition,[],[f44,f30]) ).
fof(f224,plain,
! [X0,X1] : multiply(X0,X0) = multiply(X1,inverse(multiply(X0,X1))),
inference(forward_demodulation,[],[f211,f5]) ).
fof(f245,plain,
! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
inference(forward_demodulation,[],[f224,f97]) ).
fof(f273,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
inference(superposition,[],[f39,f245]) ).
fof(f277,plain,
! [X0,X1] : commutator(X1,multiply(X0,inverse(X1))) = multiply(X1,multiply(multiply(X0,inverse(X1)),inverse(X0))),
inference(superposition,[],[f8,f245]) ).
fof(f278,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
inference(superposition,[],[f42,f245]) ).
fof(f279,plain,
! [X0,X1] : commutator(X1,multiply(X0,inverse(X1))) = multiply(X1,multiply(X0,multiply(inverse(X1),inverse(X0)))),
inference(forward_demodulation,[],[f277,f4]) ).
fof(f292,plain,
! [X0,X1] : commutator(X1,multiply(X0,inverse(X1))) = commutator(X1,X0),
inference(forward_demodulation,[],[f279,f8]) ).
fof(f468,plain,
! [X0,X1] : multiply(X1,multiply(X0,multiply(X1,multiply(X0,X1)))) = multiply(inverse(X0),identity),
inference(superposition,[],[f39,f36]) ).
fof(f485,plain,
! [X0,X1] : inverse(X0) = multiply(X1,multiply(X0,multiply(X1,multiply(X0,X1)))),
inference(forward_demodulation,[],[f468,f5]) ).
fof(f1142,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(X0),identity))) = multiply(commutator(X0,X1),multiply(X2,inverse(multiply(inverse(X1),X2)))),
inference(superposition,[],[f65,f30]) ).
fof(f1228,plain,
! [X0,X1] : multiply(X0,multiply(X1,multiply(inverse(X0),identity))) = multiply(commutator(X0,X1),inverse(inverse(X1))),
inference(forward_demodulation,[],[f1142,f245]) ).
fof(f1276,plain,
! [X0,X1] : multiply(commutator(X0,X1),X1) = multiply(X0,multiply(X1,multiply(inverse(X0),identity))),
inference(forward_demodulation,[],[f1228,f95]) ).
fof(f1304,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X0))) = multiply(commutator(X0,X1),X1),
inference(forward_demodulation,[],[f1276,f5]) ).
fof(f1798,plain,
! [X2,X0,X1] : commutator(X2,multiply(X0,X1)) = multiply(X2,multiply(X0,multiply(X1,inverse(multiply(multiply(X0,X1),X2))))),
inference(forward_demodulation,[],[f50,f273]) ).
fof(f1799,plain,
! [X2,X0,X1] : commutator(X2,multiply(X0,X1)) = multiply(X2,multiply(X0,multiply(X1,inverse(multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f1798,f4]) ).
fof(f1854,plain,
! [X0,X1] : multiply(X1,multiply(X0,X1)) = multiply(inverse(multiply(X1,X0)),inverse(X0)),
inference(superposition,[],[f85,f485]) ).
fof(f1907,plain,
! [X0,X1] : multiply(X1,multiply(X0,X1)) = inverse(multiply(X0,multiply(X1,X0))),
inference(forward_demodulation,[],[f1854,f273]) ).
fof(f2537,plain,
! [X0,X1] : commutator(multiply(X1,X0),multiply(X1,X1)) = multiply(multiply(X1,X0),multiply(X1,multiply(X1,inverse(X0)))),
inference(superposition,[],[f1799,f44]) ).
fof(f2546,plain,
! [X0,X1] : commutator(inverse(X0),multiply(X0,X1)) = multiply(inverse(X0),multiply(X0,multiply(X1,inverse(multiply(commutator(X0,X1),X1))))),
inference(superposition,[],[f1799,f1304]) ).
fof(f2564,plain,
! [X0,X1] : commutator(X1,multiply(identity,X0)) = multiply(X1,multiply(X0,inverse(multiply(identity,multiply(X0,X1))))),
inference(superposition,[],[f1799,f1]) ).
fof(f2635,plain,
! [X0,X1] : multiply(X1,multiply(X0,inverse(multiply(X0,X1)))) = commutator(X1,multiply(identity,X0)),
inference(forward_demodulation,[],[f2564,f1]) ).
fof(f2652,plain,
! [X0,X1] : multiply(X1,inverse(multiply(commutator(X0,X1),X1))) = commutator(inverse(X0),multiply(X0,X1)),
inference(forward_demodulation,[],[f2546,f39]) ).
fof(f2661,plain,
! [X0,X1] : commutator(multiply(X1,X0),multiply(X1,X1)) = multiply(X1,multiply(X0,multiply(X1,multiply(X1,inverse(X0))))),
inference(forward_demodulation,[],[f2537,f4]) ).
fof(f2708,plain,
! [X0,X1] : commutator(X1,X0) = multiply(X1,multiply(X0,inverse(multiply(X0,X1)))),
inference(forward_demodulation,[],[f2635,f1]) ).
fof(f2722,plain,
! [X0,X1] : inverse(commutator(X0,X1)) = commutator(inverse(X0),multiply(X0,X1)),
inference(forward_demodulation,[],[f2652,f245]) ).
fof(f2729,plain,
! [X0,X1] : multiply(X1,multiply(X0,multiply(inverse(X1),inverse(X0)))) = commutator(multiply(X1,X0),multiply(X1,X1)),
inference(forward_demodulation,[],[f2661,f153]) ).
fof(f2772,plain,
! [X0,X1] : multiply(X1,multiply(X0,multiply(inverse(X1),inverse(X0)))) = commutator(multiply(X1,X0),inverse(X1)),
inference(forward_demodulation,[],[f2729,f97]) ).
fof(f2799,plain,
! [X0,X1] : commutator(X1,X0) = commutator(multiply(X1,X0),inverse(X1)),
inference(forward_demodulation,[],[f2772,f8]) ).
fof(f2838,plain,
! [X0,X1] : commutator(inverse(X1),multiply(X1,X0)) = commutator(X0,inverse(inverse(X1))),
inference(superposition,[],[f2799,f39]) ).
fof(f2858,plain,
! [X0,X1] : commutator(X0,X1) = commutator(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[],[f2838,f95]) ).
fof(f2947,plain,
! [X0,X1] : inverse(commutator(X0,X1)) = commutator(X1,X0),
inference(forward_demodulation,[],[f2722,f2858]) ).
fof(f2950,plain,
! [X0,X1] : inverse(commutator(X0,X1)) = commutator(multiply(X1,inverse(X0)),X0),
inference(superposition,[],[f2947,f292]) ).
fof(f2961,plain,
! [X0,X1] : identity = multiply(commutator(X0,X1),commutator(X1,X0)),
inference(superposition,[],[f3,f2947]) ).
fof(f2996,plain,
! [X0,X1] : commutator(X1,X0) = commutator(multiply(X1,inverse(X0)),X0),
inference(forward_demodulation,[],[f2950,f2947]) ).
fof(f3147,plain,
! [X2,X0,X1] : commutator(multiply(X0,X1),X2) = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X2,multiply(X0,X1)))))),
inference(forward_demodulation,[],[f52,f273]) ).
fof(f3313,plain,
! [X0,X1] : commutator(multiply(X1,inverse(X0)),X0) = multiply(X1,inverse(multiply(X0,multiply(X1,inverse(X0))))),
inference(superposition,[],[f3147,f39]) ).
fof(f3402,plain,
! [X0,X1] : commutator(X1,X0) = multiply(X1,inverse(multiply(X0,multiply(X1,inverse(X0))))),
inference(forward_demodulation,[],[f3313,f2996]) ).
fof(f5374,plain,
! [X0,X1] : multiply(X1,multiply(multiply(X0,X1),X1)) = inverse(multiply(multiply(X0,X1),inverse(multiply(X0,multiply(X1,X0))))),
inference(superposition,[],[f1907,f1907]) ).
fof(f5572,plain,
! [X0,X1] : multiply(X1,multiply(multiply(X0,X1),X1)) = multiply(multiply(X0,multiply(X1,X0)),inverse(multiply(X0,X1))),
inference(forward_demodulation,[],[f5374,f278]) ).
fof(f5682,plain,
! [X0,X1] : multiply(X1,multiply(multiply(X0,X1),X1)) = multiply(X0,multiply(multiply(X1,X0),inverse(multiply(X0,X1)))),
inference(forward_demodulation,[],[f5572,f4]) ).
fof(f5759,plain,
! [X0,X1] : multiply(X1,multiply(multiply(X0,X1),X1)) = multiply(X0,multiply(X1,multiply(X0,inverse(multiply(X0,X1))))),
inference(forward_demodulation,[],[f5682,f4]) ).
fof(f5816,plain,
! [X0,X1] : multiply(X1,multiply(multiply(X0,X1),X1)) = multiply(X0,commutator(X1,X0)),
inference(forward_demodulation,[],[f5759,f2708]) ).
fof(f5855,plain,
! [X0,X1] : multiply(X1,multiply(X0,multiply(X1,X1))) = multiply(X0,commutator(X1,X0)),
inference(forward_demodulation,[],[f5816,f4]) ).
fof(f5879,plain,
! [X0,X1] : multiply(X1,multiply(X0,inverse(X1))) = multiply(X0,commutator(X1,X0)),
inference(forward_demodulation,[],[f5855,f97]) ).
fof(f8235,plain,
! [X0,X1] : multiply(commutator(X0,X1),multiply(X1,inverse(multiply(X0,multiply(X1,inverse(X0)))))) = commutator(commutator(X0,X1),X1),
inference(superposition,[],[f2708,f5879]) ).
fof(f8267,plain,
! [X0,X1] : commutator(commutator(X0,X1),X1) = multiply(commutator(X0,X1),commutator(X1,X0)),
inference(forward_demodulation,[],[f8235,f3402]) ).
fof(f8351,plain,
! [X0,X1] : identity = commutator(commutator(X0,X1),X1),
inference(forward_demodulation,[],[f8267,f2961]) ).
fof(f8466,plain,
identity != identity,
inference(superposition,[],[f12,f8351]) ).
fof(f8467,plain,
$false,
inference(trivial_inequality_removal,[],[f8466]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP002-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n011.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 09:13:00 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 4.51/1.67 % (2133404)Detected a unit-equality problem, will run specialized UEQ schedule.
% 4.51/1.67 % (2133512)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=253997557:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 4.51/1.67 % (2133511)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=1655135104:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 4.51/1.67 % (2133510)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=206969299:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 4.51/1.67 % (2133513)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1154195319:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 4.51/1.67 % (2133515)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1211999661:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 4.51/1.67 % (2133516)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3049138233:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 4.51/1.67 % (2133514)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=354645600:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 4.51/1.67 % (2133513)Instruction limit reached!
% 4.51/1.67 % (2133513)------------------------------
% 4.51/1.67 % (2133513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.67 % (2133513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.67 % (2133513)CaDiCaL version: 2.1.3
% 4.51/1.67 % (2133513)Termination reason: Instruction limit
% 4.51/1.67 % (2133513)Termination phase: Saturation
% 4.51/1.67 % (2133513)Time elapsed: 0.122 s
% 4.51/1.67 % (2133513)Peak memory usage: 88 MB
% 4.51/1.67 % (2133513)Instructions burned: 137 (million)
% 4.51/1.67 % (2133514)Instruction limit reached!
% 4.51/1.67 % (2133514)------------------------------
% 4.51/1.67 % (2133514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.67 % (2133514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.67 % (2133514)CaDiCaL version: 2.1.3
% 4.51/1.67 % (2133514)Termination reason: Instruction limit
% 4.51/1.67 % (2133514)Termination phase: Saturation
% 4.51/1.67 % (2133514)Time elapsed: 0.166 s
% 4.51/1.67 % (2133514)Peak memory usage: 89 MB
% 4.51/1.67 % (2133514)Instructions burned: 182 (million)
% 4.51/1.67 % (2133516)First to succeed.
% 4.51/1.67 % (2133516)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2133404"
% 4.51/1.67 % (2133515)Instruction limit reached!
% 4.51/1.67 % (2133515)------------------------------
% 4.51/1.67 % (2133515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.67 % (2133515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.67 % (2133515)CaDiCaL version: 2.1.3
% 4.51/1.67 % (2133515)Termination reason: Instruction limit
% 4.51/1.67 % (2133515)Termination phase: Saturation
% 4.51/1.67 % (2133515)Time elapsed: 0.253 s
% 4.51/1.67 % (2133515)Peak memory usage: 91 MB
% 4.51/1.67 % (2133515)Instructions burned: 257 (million)
% 4.51/1.67 % (2133552)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1963115311:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 4.51/1.67 % (2133559)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=260070984:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 4.51/1.67 % (2133561)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3159653991:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 4.51/1.67 % (2133516)Refutation found. Thanks to Tanya!
% 4.51/1.67 % SZS status Unsatisfiable for theBenchmark
% 4.51/1.67 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.90 % (2133516)------------------------------
% 0.19/1.90 % (2133516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.90 % (2133516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.90 % (2133516)CaDiCaL version: 2.1.3
% 0.19/1.90 % (2133516)Termination reason: Refutation
% 0.19/1.90 % (2133516)Time elapsed: 0.212 s
% 0.19/1.90 % (2133516)Peak memory usage: 91 MB
% 0.19/1.90 % (2133516)Instructions burned: 248 (million)
% 0.19/1.90 % (2133516)------------------------------
% 0.19/1.90 % (2133516)------------------------------
% 0.19/1.90 % (2133404)Success in time 0.796 s
% 0.19/1.90 % Vampire exiting
%------------------------------------------------------------------------------