%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP418-1 : 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 : 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 10:13:57 AM UTC 2026
% Result : Unsatisfiable 5.09s 1.74s
% Output : Refutation 7.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 6
% Syntax : Number of formulae : 45 ( 45 unt; 4 def)
% Number of atoms : 45 ( 44 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 16 ( 4 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X0,X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
fof(f3,definition,
sF0 = inverse(a1),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f4,plain,
inverse(a1) = sF0,
inference(reorient_equations,[],[f3]) ).
fof(f5,definition,
sF1 = multiply(sF0,a1),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f6,plain,
multiply(sF0,a1) = sF1,
inference(reorient_equations,[],[f5]) ).
fof(f7,definition,
sF2 = inverse(b1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f8,plain,
inverse(b1) = sF2,
inference(reorient_equations,[],[f7]) ).
fof(f9,definition,
sF3 = multiply(sF2,b1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f10,plain,
multiply(sF2,b1) = sF3,
inference(reorient_equations,[],[f9]) ).
fof(f11,plain,
sF1 != sF3,
inference(definition_folding,[],[f2,f10,f8,f6,f4]) ).
fof(f20,plain,
! [X0] : inverse(multiply(inverse(multiply(sF0,inverse(multiply(inverse(X0),inverse(multiply(a1,inverse(multiply(inverse(a1),a1)))))))),sF1)) = X0,
inference(superposition,[],[f1,f6]) ).
fof(f21,plain,
! [X0] : inverse(multiply(inverse(multiply(sF0,inverse(multiply(inverse(X0),inverse(multiply(a1,inverse(multiply(sF0,a1)))))))),sF1)) = X0,
inference(forward_demodulation,[],[f20,f4]) ).
fof(f22,plain,
! [X0] : inverse(multiply(inverse(multiply(sF0,inverse(multiply(inverse(X0),inverse(multiply(a1,inverse(sF1))))))),sF1)) = X0,
inference(forward_demodulation,[],[f21,f6]) ).
fof(f26,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X1,X2)) = inverse(multiply(inverse(multiply(sF0,inverse(multiply(X0,inverse(multiply(a1,inverse(sF1))))))),sF1)),
inference(superposition,[],[f22,f1]) ).
fof(f27,plain,
! [X0] : multiply(inverse(multiply(sF0,inverse(multiply(inverse(X0),inverse(multiply(a1,inverse(sF1))))))),sF1) = inverse(multiply(inverse(multiply(sF0,inverse(multiply(X0,inverse(multiply(a1,inverse(sF1))))))),sF1)),
inference(superposition,[],[f22,f22]) ).
fof(f28,plain,
b1 = inverse(multiply(inverse(multiply(sF0,inverse(multiply(sF2,inverse(multiply(a1,inverse(sF1))))))),sF1)),
inference(superposition,[],[f22,f8]) ).
fof(f29,plain,
a1 = inverse(multiply(inverse(multiply(sF0,inverse(multiply(sF0,inverse(multiply(a1,inverse(sF1))))))),sF1)),
inference(superposition,[],[f22,f4]) ).
fof(f38,plain,
! [X0] : inverse(inverse(multiply(inverse(multiply(sF0,inverse(multiply(X0,inverse(multiply(a1,inverse(sF1))))))),sF1))) = X0,
inference(backward_demodulation,[],[f22,f27]) ).
fof(f92,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,inverse(multiply(X0,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X1,X2)) = inverse(multiply(inverse(multiply(sF0,inverse(multiply(inverse(multiply(inverse(multiply(sF0,inverse(multiply(X0,inverse(multiply(a1,inverse(sF1))))))),sF1)),inverse(multiply(a1,inverse(sF1))))))),sF1)),
inference(superposition,[],[f26,f38]) ).
fof(f111,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,inverse(multiply(X0,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X1,X2)) = inverse(inverse(multiply(inverse(multiply(sF0,inverse(multiply(multiply(inverse(multiply(sF0,inverse(multiply(X0,inverse(multiply(a1,inverse(sF1))))))),sF1),inverse(multiply(a1,inverse(sF1))))))),sF1))),
inference(forward_demodulation,[],[f92,f27]) ).
fof(f115,plain,
! [X2,X0,X1] : multiply(inverse(multiply(sF0,inverse(multiply(X0,inverse(multiply(a1,inverse(sF1))))))),sF1) = multiply(inverse(multiply(X1,inverse(multiply(X0,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X1,X2)),
inference(forward_demodulation,[],[f111,f38]) ).
fof(f123,plain,
! [X0,X1] : multiply(inverse(multiply(sF0,inverse(multiply(X0,inverse(multiply(a1,inverse(sF1))))))),sF1) = multiply(inverse(multiply(X1,inverse(multiply(X0,inverse(multiply(a1,inverse(multiply(sF0,a1)))))))),multiply(X1,a1)),
inference(superposition,[],[f115,f4]) ).
fof(f131,plain,
! [X0,X1] : multiply(inverse(multiply(sF0,inverse(multiply(X0,inverse(multiply(a1,inverse(sF1))))))),sF1) = multiply(inverse(multiply(X1,inverse(multiply(X0,inverse(multiply(a1,inverse(sF1))))))),multiply(X1,a1)),
inference(forward_demodulation,[],[f123,f6]) ).
fof(f142,plain,
! [X0,X1] : multiply(inverse(multiply(sF0,inverse(multiply(X1,inverse(multiply(a1,inverse(sF1))))))),sF1) = multiply(inverse(multiply(inverse(multiply(sF0,inverse(multiply(inverse(X0),inverse(multiply(a1,inverse(sF1))))))),inverse(multiply(X1,inverse(multiply(sF1,inverse(multiply(inverse(sF1),sF1)))))))),inverse(multiply(inverse(multiply(sF0,inverse(multiply(X0,inverse(multiply(a1,inverse(sF1))))))),sF1))),
inference(superposition,[],[f115,f27]) ).
fof(f195,plain,
! [X0,X1] : multiply(inverse(multiply(sF0,inverse(multiply(X1,inverse(multiply(a1,inverse(sF1))))))),sF1) = multiply(inverse(multiply(inverse(multiply(sF0,inverse(multiply(inverse(inverse(X0)),inverse(multiply(a1,inverse(sF1))))))),inverse(multiply(X1,inverse(multiply(sF1,inverse(multiply(inverse(sF1),sF1)))))))),inverse(inverse(multiply(inverse(multiply(sF0,inverse(multiply(X0,inverse(multiply(a1,inverse(sF1))))))),sF1)))),
inference(superposition,[],[f142,f27]) ).
fof(f213,plain,
! [X0,X1] : multiply(inverse(multiply(sF0,inverse(multiply(X1,inverse(multiply(a1,inverse(sF1))))))),sF1) = multiply(inverse(multiply(inverse(multiply(sF0,inverse(multiply(inverse(inverse(X0)),inverse(multiply(a1,inverse(sF1))))))),inverse(multiply(X1,inverse(multiply(sF1,inverse(multiply(inverse(sF1),sF1)))))))),X0),
inference(forward_demodulation,[],[f195,f38]) ).
fof(f250,plain,
! [X0,X1] : multiply(inverse(multiply(sF0,inverse(multiply(inverse(multiply(sF0,inverse(multiply(X0,inverse(multiply(a1,inverse(sF1))))))),sF1)))),sF1) = multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(sF0,inverse(multiply(X0,inverse(multiply(a1,inverse(sF1))))))),sF1)))),multiply(X1,a1)),
inference(superposition,[],[f131,f213]) ).
fof(f465,plain,
! [X0,X1] : multiply(inverse(multiply(sF0,inverse(inverse(multiply(inverse(multiply(sF0,inverse(multiply(X0,inverse(multiply(a1,inverse(sF1))))))),sF1))))),sF1) = multiply(inverse(multiply(X1,inverse(inverse(multiply(inverse(multiply(sF0,inverse(multiply(X0,inverse(multiply(a1,inverse(sF1))))))),sF1))))),multiply(X1,a1)),
inference(superposition,[],[f250,f27]) ).
fof(f484,plain,
! [X0,X1] : multiply(inverse(multiply(sF0,X0)),sF1) = multiply(inverse(multiply(X1,X0)),multiply(X1,a1)),
inference(forward_demodulation,[],[f465,f38]) ).
fof(f494,plain,
! [X2,X0,X1] : multiply(inverse(multiply(sF0,multiply(X1,X2))),sF1) = multiply(inverse(multiply(inverse(multiply(sF0,inverse(multiply(X0,inverse(multiply(a1,inverse(sF1))))))),sF1)),multiply(inverse(multiply(X1,inverse(multiply(X0,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),a1)),
inference(superposition,[],[f484,f115]) ).
fof(f1425,plain,
! [X2,X0,X1] : multiply(inverse(multiply(sF0,multiply(X1,X2))),sF1) = multiply(inverse(inverse(multiply(inverse(multiply(sF0,inverse(multiply(X0,inverse(multiply(a1,inverse(sF1))))))),sF1))),multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),a1)),
inference(superposition,[],[f494,f27]) ).
fof(f1469,plain,
! [X2,X0,X1] : multiply(inverse(multiply(sF0,multiply(X1,X2))),sF1) = multiply(X0,multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),a1)),
inference(forward_demodulation,[],[f1425,f38]) ).
fof(f1502,plain,
! [X0] : multiply(X0,multiply(inverse(multiply(sF0,inverse(multiply(inverse(X0),inverse(multiply(a1,inverse(sF1))))))),sF1)) = multiply(inverse(multiply(sF0,multiply(inverse(multiply(sF0,inverse(multiply(inverse(inverse(a1)),inverse(multiply(a1,inverse(sF1))))))),sF1))),sF1),
inference(superposition,[],[f1469,f213]) ).
fof(f1520,plain,
! [X0] : multiply(X0,multiply(inverse(multiply(sF0,inverse(multiply(inverse(X0),inverse(multiply(a1,inverse(sF1))))))),sF1)) = multiply(inverse(multiply(sF0,inverse(multiply(inverse(multiply(sF0,inverse(multiply(inverse(a1),inverse(multiply(a1,inverse(sF1))))))),sF1)))),sF1),
inference(forward_demodulation,[],[f1502,f27]) ).
fof(f1531,plain,
! [X0] : multiply(X0,multiply(inverse(multiply(sF0,inverse(multiply(inverse(X0),inverse(multiply(a1,inverse(sF1))))))),sF1)) = multiply(inverse(multiply(sF0,inverse(inverse(multiply(inverse(multiply(sF0,inverse(multiply(a1,inverse(multiply(a1,inverse(sF1))))))),sF1))))),sF1),
inference(forward_demodulation,[],[f1520,f27]) ).
fof(f1537,plain,
! [X0] : multiply(X0,multiply(inverse(multiply(sF0,inverse(multiply(inverse(X0),inverse(multiply(a1,inverse(sF1))))))),sF1)) = multiply(inverse(multiply(sF0,a1)),sF1),
inference(forward_demodulation,[],[f1531,f38]) ).
fof(f1538,plain,
! [X0] : multiply(X0,multiply(inverse(multiply(sF0,inverse(multiply(inverse(X0),inverse(multiply(a1,inverse(sF1))))))),sF1)) = multiply(inverse(sF1),sF1),
inference(forward_demodulation,[],[f1537,f6]) ).
fof(f1539,plain,
! [X0] : multiply(X0,inverse(multiply(inverse(multiply(sF0,inverse(multiply(X0,inverse(multiply(a1,inverse(sF1))))))),sF1))) = multiply(inverse(sF1),sF1),
inference(forward_demodulation,[],[f1538,f27]) ).
fof(f1613,plain,
multiply(sF0,a1) = multiply(inverse(sF1),sF1),
inference(superposition,[],[f1539,f29]) ).
fof(f1614,plain,
multiply(sF2,b1) = multiply(inverse(sF1),sF1),
inference(superposition,[],[f1539,f28]) ).
fof(f1642,plain,
sF3 = multiply(inverse(sF1),sF1),
inference(forward_demodulation,[],[f1614,f10]) ).
fof(f1643,plain,
sF1 = multiply(inverse(sF1),sF1),
inference(forward_demodulation,[],[f1613,f6]) ).
fof(f1769,plain,
sF1 = sF3,
inference(backward_demodulation,[],[f1642,f1643]) ).
fof(f1795,plain,
$false,
inference(forward_subsumption_resolution,[],[f1769,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP418-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n018.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 10:06:08 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 Running first-order theorem proving
% 0.11/0.39 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
% 5.09/1.74 % (2095890)Detected a unit-equality problem, will run specialized UEQ schedule.
% 5.09/1.74 % (2095897)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3106255097:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 5.09/1.74 % (2095895)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=3330893477:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 5.09/1.74 % (2095900)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1228373560:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 5.09/1.74 % (2095898)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=831593884:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 5.09/1.74 % (2095901)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2070607369:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 5.09/1.74 % (2095899)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=29246967:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 5.09/1.74 % (2095896)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=2933463971:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 5.09/1.74 % (2095898)Instruction limit reached!
% 5.09/1.74 % (2095898)------------------------------
% 5.09/1.74 % (2095898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/1.74 % (2095898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.74 % (2095898)CaDiCaL version: 2.1.3
% 5.09/1.74 % (2095898)Termination reason: Instruction limit
% 5.09/1.74 % (2095898)Termination phase: Saturation
% 5.09/1.74 % (2095898)Time elapsed: 0.071 s
% 5.09/1.74 % (2095898)Peak memory usage: 89 MB
% 5.09/1.74 % (2095898)Instructions burned: 137 (million)
% 5.09/1.74 % (2095899)Instruction limit reached!
% 5.09/1.74 % (2095899)------------------------------
% 5.09/1.74 % (2095899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/1.74 % (2095899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.74 % (2095899)CaDiCaL version: 2.1.3
% 5.09/1.74 % (2095899)Termination reason: Instruction limit
% 5.09/1.74 % (2095899)Termination phase: Saturation
% 5.09/1.74 % (2095899)Time elapsed: 0.091 s
% 5.09/1.74 % (2095899)Peak memory usage: 89 MB
% 5.09/1.74 % (2095899)Instructions burned: 182 (million)
% 5.09/1.74 % (2095900)Instruction limit reached!
% 5.09/1.74 % (2095900)------------------------------
% 5.09/1.74 % (2095900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/1.74 % (2095900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.74 % (2095900)CaDiCaL version: 2.1.3
% 5.09/1.74 % (2095900)Termination reason: Instruction limit
% 5.09/1.74 % (2095900)Termination phase: Saturation
% 5.09/1.74 % (2095900)Time elapsed: 0.140 s
% 5.09/1.74 % (2095900)Peak memory usage: 91 MB
% 5.09/1.74 % (2095900)Instructions burned: 257 (million)
% 5.09/1.74 % (2095909)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3163883050:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 5.09/1.74 % (2095910)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=986163514:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 5.09/1.74 % (2095911)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=4052573505:i=215:ep=RSTC_2997 on theBenchmark for (2997ds/215Mi)
% 5.09/1.74 % (2095911)Instruction limit reached!
% 5.09/1.74 % (2095911)------------------------------
% 5.09/1.74 % (2095911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/1.74 % (2095911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.74 % (2095911)CaDiCaL version: 2.1.3
% 5.09/1.74 % (2095911)Termination reason: Instruction limit
% 5.09/1.74 % (2095911)Termination phase: Saturation
% 5.09/1.74 % (2095911)Time elapsed: 0.127 s
% 5.09/1.74 % (2095911)Peak memory usage: 89 MB
% 5.09/1.74 % (2095911)Instructions burned: 216 (million)
% 5.09/1.74 % (2095915)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=4258544377: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)
% 5.09/1.74 % (2095901)Instruction limit reached!
% 5.09/1.74 % (2095901)------------------------------
% 5.09/1.74 % (2095901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/1.74 % (2095901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.74 % (2095901)CaDiCaL version: 2.1.3
% 5.09/1.74 % (2095901)Termination reason: Instruction limit
% 5.09/1.74 % (2095901)Termination phase: Saturation
% 5.09/1.74 % (2095901)Time elapsed: 0.580 s
% 5.09/1.74 % (2095901)Peak memory usage: 93 MB
% 5.09/1.74 % (2095901)Instructions burned: 1187 (million)
% 5.09/1.74 % (2095897)First to succeed.
% 5.09/1.74 % (2095897)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2095890"
% 5.09/1.74 % (2095915)Instruction limit reached!
% 5.09/1.74 % (2095915)------------------------------
% 5.09/1.74 % (2095915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/1.74 % (2095915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.74 % (2095915)CaDiCaL version: 2.1.3
% 5.09/1.74 % (2095915)Termination reason: Instruction limit
% 5.09/1.74 % (2095915)Termination phase: Saturation
% 5.09/1.74 % (2095915)Time elapsed: 0.163 s
% 5.09/1.74 % (2095915)Peak memory usage: 91 MB
% 5.09/1.74 % (2095915)Instructions burned: 318 (million)
% 5.09/1.74 % (2095917)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=456745033:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 5.09/1.74 % (2095897)Refutation found. Thanks to Tanya!
% 5.09/1.74 % SZS status Unsatisfiable for theBenchmark
% 5.09/1.74 % SZS output start Proof for theBenchmark
% See solution above
% 7.07/1.93 % (2095897)------------------------------
% 7.07/1.93 % (2095897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.07/1.93 % (2095897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.07/1.93 % (2095897)CaDiCaL version: 2.1.3
% 7.07/1.93 % (2095897)Termination reason: Refutation
% 7.07/1.93 % (2095897)Time elapsed: 0.645 s
% 7.07/1.93 % (2095897)Peak memory usage: 135 MB
% 7.07/1.93 % (2095897)Instructions burned: 1762 (million)
% 7.07/1.93 % (2095897)------------------------------
% 7.07/1.93 % (2095897)------------------------------
% 7.07/1.93 % (2095890)Success in time 0.918 s
% 7.07/1.93 % Vampire exiting
%------------------------------------------------------------------------------