%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP405-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 10:13:52 AM UTC 2026
% Result : Unsatisfiable 12.61s 2.69s
% Output : Refutation 13.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 2
% Syntax : Number of formulae : 52 ( 52 unt; 0 def)
% Number of atoms : 52 ( 51 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 152 ( 152 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(X1,multiply(inverse(X1),X1)))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f4,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X0)),inverse(multiply(X3,multiply(inverse(X3),X3))))) = multiply(X1,inverse(multiply(inverse(X0),inverse(multiply(X2,multiply(inverse(X2),X2)))))),
inference(superposition,[],[f1,f1]) ).
fof(f22,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X2)),multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(X2,multiply(inverse(X2),X2))))))) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f26,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(multiply(X0,X1)),X3))),inverse(multiply(X2,multiply(inverse(X2),X2))))) = X3,
inference(superposition,[],[f1,f4]) ).
fof(f52,plain,
! [X0,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(X0,X4)),multiply(X0,X5))),inverse(multiply(X4,multiply(inverse(X4),X4))))) = X5,
inference(superposition,[],[f26,f26]) ).
fof(f94,plain,
! [X2,X0,X1] : inverse(multiply(X2,multiply(inverse(X2),X2))) = multiply(inverse(multiply(X1,X2)),inverse(multiply(X0,inverse(multiply(multiply(X1,X0),multiply(inverse(multiply(X1,X0)),multiply(X1,X0))))))),
inference(superposition,[],[f1,f52]) ).
fof(f96,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,X2)),multiply(X1,X0)) = multiply(inverse(multiply(X3,X2)),multiply(X3,X0)),
inference(superposition,[],[f22,f52]) ).
fof(f126,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),X0)),inverse(multiply(X3,multiply(inverse(X3),X3))))))),multiply(X1,X4)) = multiply(inverse(X0),multiply(X2,X4)),
inference(superposition,[],[f96,f1]) ).
fof(f133,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(inverse(X2),X2))))),multiply(X1,X3)) = multiply(X0,multiply(inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,X0))),X3)),
inference(superposition,[],[f96,f52]) ).
fof(f497,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(X0,multiply(inverse(X0),X0)))) = X2,
inference(superposition,[],[f22,f94]) ).
fof(f565,plain,
! [X2,X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(inverse(X2),X2))))),multiply(X1,inverse(multiply(X2,multiply(inverse(X2),X2))))),
inference(superposition,[],[f133,f497]) ).
fof(f617,plain,
! [X0,X1] : multiply(inverse(X1),X1) = multiply(inverse(X0),X0),
inference(superposition,[],[f565,f565]) ).
fof(f836,plain,
! [X3,X0] : inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(X3,multiply(inverse(X3),X3))))) = X3,
inference(superposition,[],[f26,f617]) ).
fof(f852,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X2),X3)),
inference(superposition,[],[f96,f617]) ).
fof(f853,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(inverse(X3),X2)),multiply(inverse(X0),X0)),
inference(superposition,[],[f96,f617]) ).
fof(f893,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(X2,multiply(inverse(X0),X0))))) = X2,
inference(superposition,[],[f836,f617]) ).
fof(f901,plain,
! [X0,X1] : inverse(multiply(X0,multiply(inverse(X0),X0))) = multiply(inverse(X1),inverse(multiply(X0,inverse(multiply(X1,multiply(inverse(X1),X1)))))),
inference(superposition,[],[f1,f836]) ).
fof(f1154,plain,
! [X2,X0,X1] : multiply(inverse(X2),X2) = multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X1)),
inference(superposition,[],[f617,f852]) ).
fof(f2417,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X0),multiply(inverse(X4),X4)) = multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),X3)),X0)),inverse(multiply(X3,multiply(inverse(X3),X3))))))),multiply(X1,X2)),
inference(superposition,[],[f853,f1]) ).
fof(f2651,plain,
! [X2,X0,X4] : multiply(inverse(X0),multiply(inverse(X4),X4)) = multiply(inverse(X0),multiply(inverse(X2),X2)),
inference(forward_demodulation,[],[f2417,f126]) ).
fof(f3334,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X0),X0)) = multiply(inverse(X2),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(X2,multiply(inverse(X2),X2)))))),
inference(superposition,[],[f901,f1154]) ).
fof(f3529,plain,
! [X2,X0] : multiply(inverse(X2),X2) = inverse(multiply(inverse(X0),X0)),
inference(forward_demodulation,[],[f3334,f836]) ).
fof(f3537,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X2),X2)) = multiply(multiply(inverse(X0),X0),multiply(inverse(X1),X1)),
inference(superposition,[],[f3529,f3529]) ).
fof(f3572,plain,
! [X2,X0,X1] : multiply(inverse(X1),X1) = inverse(multiply(multiply(inverse(X0),X0),multiply(inverse(X2),X2))),
inference(superposition,[],[f3529,f3529]) ).
fof(f3577,plain,
! [X0,X1] : multiply(inverse(X1),X1) = inverse(inverse(multiply(inverse(X0),X0))),
inference(superposition,[],[f3529,f3529]) ).
fof(f3708,plain,
! [X2,X0] : multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X2),multiply(inverse(inverse(X2)),inverse(X2))))) = X2,
inference(superposition,[],[f497,f3529]) ).
fof(f3719,plain,
! [X2,X3,X0] : inverse(multiply(multiply(inverse(X0),X0),inverse(multiply(X2,multiply(inverse(X3),X3))))) = X2,
inference(superposition,[],[f893,f3529]) ).
fof(f5292,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X3),inverse(multiply(multiply(inverse(X0),X0),multiply(inverse(X1),X1)))))) = X3,
inference(superposition,[],[f3708,f3572]) ).
fof(f6966,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(multiply(inverse(X0),X0))),multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X3),inverse(multiply(multiply(inverse(X2),X2),multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))))))) = X3,
inference(superposition,[],[f22,f3537]) ).
fof(f6992,plain,
! [X3,X0] : multiply(inverse(inverse(multiply(inverse(X0),X0))),X3) = X3,
inference(forward_demodulation,[],[f6966,f5292]) ).
fof(f7052,plain,
! [X2,X0] : multiply(inverse(multiply(inverse(X0),X0)),X2) = X2,
inference(superposition,[],[f6992,f3529]) ).
fof(f7055,plain,
! [X2,X0] : multiply(multiply(inverse(X0),X0),X2) = X2,
inference(superposition,[],[f6992,f3577]) ).
fof(f7159,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,X2)),multiply(X1,X0)) = multiply(inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),X2)),X0),
inference(superposition,[],[f96,f6992]) ).
fof(f7216,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,X2)),multiply(X1,X0)) = multiply(inverse(X2),X0),
inference(forward_demodulation,[],[f7159,f6992]) ).
fof(f7338,plain,
! [X0,X1] : inverse(inverse(multiply(X0,multiply(inverse(X1),X1)))) = X0,
inference(superposition,[],[f3719,f7055]) ).
fof(f7378,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X4,inverse(multiply(X1,multiply(inverse(X1),X1))))),multiply(X4,X3)) = multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(inverse(X2),X2)))),X3),
inference(superposition,[],[f133,f7055]) ).
fof(f7400,plain,
! [X2,X3,X1,X4] : multiply(inverse(multiply(X4,inverse(multiply(X1,multiply(inverse(X1),X1))))),multiply(X4,X3)) = multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),X2))),X3),
inference(forward_demodulation,[],[f7378,f7216]) ).
fof(f7460,plain,
! [X2,X3,X1] : multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),X2))),X3) = multiply(inverse(inverse(multiply(X1,multiply(inverse(X1),X1)))),X3),
inference(forward_demodulation,[],[f7400,f7216]) ).
fof(f7465,plain,
! [X2,X3,X1] : multiply(X1,X3) = multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),X2))),X3),
inference(forward_demodulation,[],[f7460,f7338]) ).
fof(f7500,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(X2),X2)),X3) = multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),X1))),multiply(inverse(X0),X3)),
inference(superposition,[],[f7216,f2651]) ).
fof(f7826,plain,
! [X2,X3,X0] : multiply(inverse(multiply(inverse(X2),X2)),X3) = multiply(X0,multiply(inverse(X0),X3)),
inference(forward_demodulation,[],[f7500,f7465]) ).
fof(f7867,plain,
! [X3,X0] : multiply(X0,multiply(inverse(X0),X3)) = X3,
inference(forward_demodulation,[],[f7826,f7052]) ).
fof(f7908,plain,
! [X2,X0,X1] : multiply(X1,inverse(multiply(inverse(X0),inverse(multiply(X2,multiply(inverse(X2),X2)))))) = multiply(multiply(X1,X2),X0),
inference(superposition,[],[f7867,f22]) ).
fof(f7928,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f7867,f7867]) ).
fof(f8009,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(multiply(X2,X1)),multiply(X2,X0)),
inference(superposition,[],[f853,f7867]) ).
fof(f8048,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(forward_demodulation,[],[f8009,f7216]) ).
fof(f8121,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),X0) = multiply(X1,inverse(multiply(inverse(X0),inverse(X2)))),
inference(forward_demodulation,[],[f7908,f7867]) ).
fof(f8187,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),X0) = multiply(X1,multiply(inverse(inverse(X2)),X0)),
inference(forward_demodulation,[],[f8121,f8048]) ).
fof(f8223,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,X0)) = multiply(multiply(X1,X2),X0),
inference(forward_demodulation,[],[f8187,f7928]) ).
fof(f8399,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f2,f8223]) ).
fof(f8457,plain,
$false,
inference(trivial_inequality_removal,[],[f8399]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP405-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n005.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 10:02:02 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 12.61/2.69 % (3756381)Detected a unit-equality problem, will run specialized UEQ schedule.
% 12.61/2.69 % (3756386)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=3124909271:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 12.61/2.69 % (3756392)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3141056759:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 12.61/2.69 % (3756390)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2642923585:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 12.61/2.69 % (3756388)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2194125146:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 12.61/2.69 % (3756387)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=8356406:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 12.61/2.69 % (3756389)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2018097782:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 12.61/2.69 % (3756391)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3022653190:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 12.61/2.69 % (3756389)Instruction limit reached!
% 12.61/2.69 % (3756389)------------------------------
% 12.61/2.69 % (3756389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.61/2.69 % (3756389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.69 % (3756389)CaDiCaL version: 2.1.3
% 12.61/2.69 % (3756389)Termination reason: Instruction limit
% 12.61/2.69 % (3756389)Termination phase: Saturation
% 12.61/2.69 % (3756389)Time elapsed: 0.075 s
% 12.61/2.69 % (3756389)Peak memory usage: 89 MB
% 12.61/2.69 % (3756389)Instructions burned: 137 (million)
% 12.61/2.69 % (3756390)Instruction limit reached!
% 12.61/2.69 % (3756390)------------------------------
% 12.61/2.69 % (3756390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.61/2.69 % (3756390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.69 % (3756390)CaDiCaL version: 2.1.3
% 12.61/2.69 % (3756390)Termination reason: Instruction limit
% 12.61/2.69 % (3756390)Termination phase: Saturation
% 12.61/2.69 % (3756390)Time elapsed: 0.098 s
% 12.61/2.69 % (3756390)Peak memory usage: 89 MB
% 12.61/2.69 % (3756390)Instructions burned: 183 (million)
% 12.61/2.69 % (3756391)Instruction limit reached!
% 12.61/2.69 % (3756391)------------------------------
% 12.61/2.69 % (3756391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.61/2.69 % (3756391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.69 % (3756391)CaDiCaL version: 2.1.3
% 12.61/2.69 % (3756391)Termination reason: Instruction limit
% 12.61/2.69 % (3756391)Termination phase: Saturation
% 12.61/2.69 % (3756391)Time elapsed: 0.153 s
% 12.61/2.69 % (3756391)Peak memory usage: 90 MB
% 12.61/2.69 % (3756391)Instructions burned: 258 (million)
% 12.61/2.69 % (3756400)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=668619419:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 12.61/2.69 % (3756401)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3411543715:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 12.61/2.69 % (3756402)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2254750310:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 12.61/2.69 % (3756402)Instruction limit reached!
% 12.61/2.69 % (3756402)------------------------------
% 12.61/2.69 % (3756402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.61/2.69 % (3756402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.69 % (3756402)CaDiCaL version: 2.1.3
% 12.61/2.69 % (3756402)Termination reason: Instruction limit
% 12.61/2.69 % (3756402)Termination phase: Saturation
% 12.61/2.69 % (3756402)Time elapsed: 0.120 s
% 12.61/2.69 % (3756402)Peak memory usage: 89 MB
% 12.61/2.69 % (3756402)Instructions burned: 216 (million)
% 12.61/2.69 % (3756406)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=1401099293:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 12.61/2.69 % (3756392)Instruction limit reached!
% 12.61/2.69 % (3756392)------------------------------
% 12.61/2.69 % (3756392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.61/2.69 % (3756392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.69 % (3756392)CaDiCaL version: 2.1.3
% 12.61/2.69 % (3756392)Termination reason: Instruction limit
% 12.61/2.69 % (3756392)Termination phase: Saturation
% 12.61/2.69 % (3756392)Time elapsed: 0.601 s
% 12.61/2.69 % (3756392)Peak memory usage: 96 MB
% 12.61/2.69 % (3756392)Instructions burned: 1189 (million)
% 12.61/2.69 % (3756406)Instruction limit reached!
% 12.61/2.69 % (3756406)------------------------------
% 12.61/2.69 % (3756406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.61/2.69 % (3756406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.69 % (3756406)CaDiCaL version: 2.1.3
% 12.61/2.69 % (3756406)Termination reason: Instruction limit
% 12.61/2.69 % (3756406)Termination phase: Saturation
% 12.61/2.69 % (3756406)Time elapsed: 0.142 s
% 12.61/2.69 % (3756406)Peak memory usage: 89 MB
% 12.61/2.69 % (3756406)Instructions burned: 318 (million)
% 12.61/2.69 % (3756408)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=1542161372:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 12.61/2.69 % (3756409)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2872582454:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 12.61/2.69 % (3756387)First to succeed.
% 12.61/2.69 % (3756387)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3756381"
% 12.61/2.69 % (3756400)Instruction limit reached!
% 12.61/2.69 % (3756400)------------------------------
% 12.61/2.69 % (3756400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.61/2.69 % (3756400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.69 % (3756400)CaDiCaL version: 2.1.3
% 12.61/2.69 % (3756400)Termination reason: Instruction limit
% 12.61/2.69 % (3756400)Termination phase: Saturation
% 12.61/2.69 % (3756400)Time elapsed: 1.232 s
% 12.61/2.69 % (3756400)Peak memory usage: 139 MB
% 12.61/2.69 % (3756400)Instructions burned: 2052 (million)
% 12.61/2.69 % (3756412)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=3017575197:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2984 on theBenchmark for (2984ds/14534Mi)
% 12.61/2.69 % (3756387)Refutation found. Thanks to Tanya!
% 12.61/2.69 % SZS status Unsatisfiable for theBenchmark
% 12.61/2.69 % SZS output start Proof for theBenchmark
% See solution above
% 13.55/2.89 % (3756387)------------------------------
% 13.55/2.89 % (3756387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.55/2.89 % (3756387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.55/2.89 % (3756387)CaDiCaL version: 2.1.3
% 13.55/2.89 % (3756387)Termination reason: Refutation
% 13.55/2.89 % (3756387)Time elapsed: 1.429 s
% 13.55/2.89 % (3756387)Peak memory usage: 142 MB
% 13.55/2.89 % (3756387)Instructions burned: 2432 (million)
% 13.55/2.89 % (3756387)------------------------------
% 13.55/2.89 % (3756387)------------------------------
% 13.55/2.89 % (3756381)Success in time 1.836 s
% 13.55/2.89 % Vampire exiting
%------------------------------------------------------------------------------