%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP416-1 : 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 : n017.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 5.52s 3.31s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 2
% Syntax : Number of formulae : 54 ( 54 unt; 0 def)
% Number of atoms : 54 ( 53 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 148 ( 148 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0)))))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f3,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(reorient_equations,[],[f2]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(X0)))),inverse(multiply(inverse(X3),X3))))) = inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X0))),inverse(multiply(inverse(X1),X1)))))),
inference(superposition,[],[f1,f1]) ).
fof(f25,plain,
! [X2,X0,X1] : inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),inverse(multiply(inverse(X0),X0))))))) = X2,
inference(superposition,[],[f1,f5]) ).
fof(f28,plain,
! [X2,X0,X1] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(inverse(X2))))),inverse(multiply(inverse(X0),X0))))) = X2,
inference(superposition,[],[f1,f5]) ).
fof(f48,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(inverse(X0))))),inverse(multiply(inverse(X2),X2))) = inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),X0)),inverse(multiply(inverse(X1),X1)))))),
inference(superposition,[],[f1,f28]) ).
fof(f115,plain,
! [X2,X0,X1] : multiply(X1,inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),inverse(multiply(inverse(X0),X0)))))))) = X2,
inference(superposition,[],[f28,f48]) ).
fof(f129,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,inverse(X2))))))),inverse(multiply(inverse(X1),X1))) = X2,
inference(superposition,[],[f1,f48]) ).
fof(f130,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,X2)))))),inverse(multiply(inverse(X1),X1)))) = X2,
inference(superposition,[],[f25,f48]) ).
fof(f234,plain,
! [X2,X3,X0,X1] : multiply(inverse(X3),X3) = inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(multiply(X3,inverse(X0))))))),X1)),X0)),inverse(multiply(inverse(X1),X1)))))),
inference(superposition,[],[f1,f129]) ).
fof(f336,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(X1,X2)))),multiply(X3,inverse(X0)))),inverse(multiply(inverse(inverse(multiply(X1,X2))),inverse(multiply(X1,X2)))))) = multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(X0,inverse(multiply(inverse(X2),X2)))))))),
inference(superposition,[],[f115,f1]) ).
fof(f416,plain,
! [X0,X1] : multiply(inverse(X1),X1) = inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))),
inference(superposition,[],[f234,f130]) ).
fof(f512,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X1),X1)))))))))) = X2,
inference(superposition,[],[f1,f336]) ).
fof(f513,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1))))))))) = X2,
inference(superposition,[],[f28,f336]) ).
fof(f597,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X0))) = inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X0))),
inference(superposition,[],[f512,f25]) ).
fof(f809,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X5,X1)),multiply(X5,X2)) = multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(inverse(multiply(X4,inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))))))))),inverse(multiply(inverse(X4),X4))),
inference(superposition,[],[f129,f597]) ).
fof(f817,plain,
! [X2,X0,X1,X5] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(X5,X1)),multiply(X5,X2)),
inference(forward_demodulation,[],[f809,f129]) ).
fof(f863,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X0)))),inverse(multiply(inverse(X3),X3)))))),multiply(X1,X4)) = multiply(X0,multiply(X3,X4)),
inference(superposition,[],[f817,f1]) ).
fof(f1668,plain,
! [X2,X0,X1] : multiply(inverse(X2),X2) = multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X0)))),multiply(X1,inverse(multiply(inverse(X0),X0)))),
inference(superposition,[],[f513,f416]) ).
fof(f1775,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[],[f1668,f1668]) ).
fof(f2088,plain,
! [X2,X3,X0,X1] : inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X0),X0)))))) = X3,
inference(superposition,[],[f1,f1775]) ).
fof(f2117,plain,
! [X0,X1] : inverse(multiply(inverse(X1),inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(inverse(X1)),inverse(X1))))))) = X1,
inference(superposition,[],[f1,f1775]) ).
fof(f2124,plain,
! [X2,X3,X0] : inverse(multiply(inverse(X0),X0)) = inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X2))),
inference(superposition,[],[f597,f1775]) ).
fof(f2132,plain,
! [X2,X0,X1] : multiply(inverse(X1),X1) = inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X0),X0)))))),
inference(superposition,[],[f416,f1775]) ).
fof(f2134,plain,
! [X0] : a2 != multiply(multiply(inverse(X0),X0),a2),
inference(superposition,[],[f3,f1775]) ).
fof(f2254,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X1),inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X0),X0)))))) = X1,
inference(superposition,[],[f2117,f1775]) ).
fof(f2405,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X0)) = inverse(multiply(inverse(X1),X1)),
inference(superposition,[],[f2124,f2124]) ).
fof(f3446,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(X2),inverse(multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),X1)))))))) = X2,
inference(superposition,[],[f2254,f2254]) ).
fof(f3502,plain,
! [X2,X3,X0] : multiply(X2,multiply(inverse(X2),X3)) = multiply(X0,multiply(inverse(X0),X3)),
inference(superposition,[],[f863,f2254]) ).
fof(f3615,plain,
! [X2,X3] : inverse(multiply(inverse(X2),multiply(inverse(X3),X3))) = X2,
inference(forward_demodulation,[],[f3446,f2132]) ).
fof(f3866,plain,
! [X0,X1] : inverse(multiply(X0,multiply(inverse(X0),inverse(X1)))) = X1,
inference(superposition,[],[f3615,f3502]) ).
fof(f3888,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(multiply(X0,inverse(multiply(X1,inverse(multiply(inverse(X0),X0)))))))),X0) = X1,
inference(superposition,[],[f512,f3615]) ).
fof(f3890,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X0))) = multiply(inverse(X0),X1),
inference(superposition,[],[f597,f3615]) ).
fof(f3924,plain,
! [X0,X1] : multiply(inverse(X0),X0) = inverse(multiply(inverse(X1),X1)),
inference(superposition,[],[f2405,f3615]) ).
fof(f3949,plain,
! [X2,X0,X1] : inverse(multiply(X0,multiply(inverse(X0),inverse(inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1))))))))))) = X2,
inference(superposition,[],[f512,f3615]) ).
fof(f4011,plain,
! [X2,X0,X1] : inverse(multiply(X0,multiply(inverse(X0),inverse(inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(X2,multiply(inverse(X1),X1))))))))) = X2,
inference(forward_demodulation,[],[f3949,f3615]) ).
fof(f4081,plain,
! [X2,X1] : inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(X2,multiply(inverse(X1),X1))))) = X2,
inference(forward_demodulation,[],[f4011,f3866]) ).
fof(f4149,plain,
! [X2,X3,X0,X1] : multiply(inverse(X3),X2) = inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X1))),multiply(inverse(X2),X3))),
inference(superposition,[],[f3890,f2124]) ).
fof(f4390,plain,
! [X2,X3,X1] : multiply(inverse(X3),X2) = inverse(multiply(multiply(inverse(X1),X1),multiply(inverse(X2),X3))),
inference(forward_demodulation,[],[f4149,f3890]) ).
fof(f4581,plain,
! [X0] : a2 != multiply(inverse(multiply(inverse(X0),X0)),a2),
inference(superposition,[],[f2134,f3924]) ).
fof(f4596,plain,
! [X3,X0,X1] : inverse(multiply(inverse(X1),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X3),X3)))))) = X1,
inference(superposition,[],[f2088,f3924]) ).
fof(f4677,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1)))))))),X1)),inverse(multiply(inverse(X0),X0))) = X2,
inference(superposition,[],[f513,f3924]) ).
fof(f4771,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(multiply(X2,multiply(inverse(X1),X1))),multiply(X2,inverse(X3)))),inverse(multiply(multiply(inverse(X0),X0),multiply(inverse(X1),X1))))))) = X3,
inference(superposition,[],[f1,f3924]) ).
fof(f4860,plain,
! [X2,X3,X1] : inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(multiply(X2,multiply(inverse(X1),X1))),multiply(X2,inverse(X3)))),multiply(inverse(X1),X1))))) = X3,
inference(forward_demodulation,[],[f4771,f4390]) ).
fof(f4925,plain,
! [X2,X0] : multiply(inverse(inverse(X2)),inverse(multiply(inverse(X0),X0))) = X2,
inference(forward_demodulation,[],[f4677,f3888]) ).
fof(f5052,plain,
! [X2,X3,X1] : inverse(multiply(inverse(multiply(X2,multiply(inverse(X1),X1))),multiply(X2,inverse(X3)))) = X3,
inference(forward_demodulation,[],[f4860,f4081]) ).
fof(f5117,plain,
! [X3,X1] : multiply(inverse(inverse(X3)),multiply(inverse(X1),X1)) = X3,
inference(forward_demodulation,[],[f5052,f3890]) ).
fof(f5192,plain,
! [X0,X1] : multiply(X1,multiply(inverse(X1),inverse(inverse(X0)))) = X0,
inference(superposition,[],[f3502,f5117]) ).
fof(f5539,plain,
! [X2,X0,X1] : multiply(inverse(X0),multiply(inverse(inverse(X0)),inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))))))))) = X2,
inference(superposition,[],[f513,f4925]) ).
fof(f5563,plain,
! [X2,X1] : multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))))) = X2,
inference(forward_demodulation,[],[f5539,f5192]) ).
fof(f5642,plain,
! [X2,X1] : multiply(inverse(multiply(inverse(X1),X1)),X2) = X2,
inference(forward_demodulation,[],[f5563,f4596]) ).
fof(f5850,plain,
a2 != a2,
inference(superposition,[],[f4581,f5642]) ).
fof(f5927,plain,
$false,
inference(trivial_inequality_removal,[],[f5850]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP416-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n017.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % 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 09:59:20 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 5.52/3.31 % (2303761)Detected a unit-equality problem, will run specialized UEQ schedule.
% 5.52/3.31 % (2303770)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=928031870:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 5.52/3.31 % (2303769)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=538673354:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 5.52/3.31 % (2303768)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=910339248:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 5.52/3.31 % (2303767)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=4218378516:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 5.52/3.31 % (2303766)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=3818942042:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 5.52/3.31 % (2303771)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3998608786:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 5.52/3.31 % (2303772)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1622856702:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 5.52/3.31 % (2303770)Instruction limit reached!
% 5.52/3.31 % (2303770)------------------------------
% 5.52/3.31 % (2303770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/3.31 % (2303770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/3.31 % (2303770)CaDiCaL version: 2.1.3
% 5.52/3.31 % (2303770)Termination reason: Instruction limit
% 5.52/3.31 % (2303770)Termination phase: Saturation
% 5.52/3.31 % (2303770)Time elapsed: 0.052 s
% 5.52/3.31 % (2303770)Peak memory usage: 89 MB
% 5.52/3.31 % (2303770)Instructions burned: 183 (million)
% 5.52/3.31 % (2303769)Instruction limit reached!
% 5.52/3.31 % (2303769)------------------------------
% 5.52/3.31 % (2303769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/3.31 % (2303769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/3.31 % (2303769)CaDiCaL version: 2.1.3
% 5.52/3.31 % (2303769)Termination reason: Instruction limit
% 5.52/3.31 % (2303769)Termination phase: Saturation
% 5.52/3.31 % (2303769)Time elapsed: 0.072 s
% 5.52/3.31 % (2303769)Peak memory usage: 89 MB
% 5.52/3.31 % (2303769)Instructions burned: 136 (million)
% 5.52/3.31 % (2303780)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1647612334:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 5.52/3.31 % (2303771)Instruction limit reached!
% 5.52/3.31 % (2303771)------------------------------
% 5.52/3.31 % (2303771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/3.31 % (2303771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/3.31 % (2303771)CaDiCaL version: 2.1.3
% 5.52/3.31 % (2303771)Termination reason: Instruction limit
% 5.52/3.31 % (2303771)Termination phase: Saturation
% 5.52/3.31 % (2303771)Time elapsed: 0.144 s
% 5.52/3.31 % (2303771)Peak memory usage: 91 MB
% 5.52/3.31 % (2303771)Instructions burned: 258 (million)
% 5.52/3.31 % (2303781)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2721502787:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 5.52/3.31 % (2303783)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3824387823:i=215:ep=RSTC_2997 on theBenchmark for (2997ds/215Mi)
% 5.52/3.31 % (2303783)Instruction limit reached!
% 5.52/3.31 % (2303783)------------------------------
% 5.52/3.31 % (2303783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/3.31 % (2303783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/3.31 % (2303783)CaDiCaL version: 2.1.3
% 5.52/3.31 % (2303783)Termination reason: Instruction limit
% 5.52/3.31 % (2303783)Termination phase: Saturation
% 5.52/3.31 % (2303783)Time elapsed: 0.135 s
% 5.52/3.31 % (2303783)Peak memory usage: 90 MB
% 5.52/3.31 % (2303783)Instructions burned: 215 (million)
% 5.52/3.31 % (2303786)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=2946576174: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)
% 5.52/3.31 % (2303772)Instruction limit reached!
% 5.52/3.31 % (2303772)------------------------------
% 5.52/3.31 % (2303772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/3.31 % (2303772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/3.31 % (2303772)CaDiCaL version: 2.1.3
% 5.52/3.31 % (2303772)Termination reason: Instruction limit
% 5.52/3.31 % (2303772)Termination phase: Saturation
% 5.52/3.31 % (2303772)Time elapsed: 0.579 s
% 5.52/3.31 % (2303772)Peak memory usage: 95 MB
% 5.52/3.31 % (2303772)Instructions burned: 1187 (million)
% 5.52/3.31 % (2303786)Instruction limit reached!
% 5.52/3.31 % (2303786)------------------------------
% 5.52/3.31 % (2303786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/3.31 % (2303786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/3.31 % (2303786)CaDiCaL version: 2.1.3
% 5.52/3.31 % (2303786)Termination reason: Instruction limit
% 5.52/3.31 % (2303786)Termination phase: Saturation
% 5.52/3.31 % (2303786)Time elapsed: 0.154 s
% 5.52/3.31 % (2303786)Peak memory usage: 92 MB
% 5.52/3.31 % (2303786)Instructions burned: 318 (million)
% 5.52/3.31 % (2303788)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=2972563370:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 5.52/3.31 % (2303780)Instruction limit reached!
% 5.52/3.31 % (2303780)------------------------------
% 5.52/3.31 % (2303780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/3.31 % (2303780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/3.31 % (2303780)CaDiCaL version: 2.1.3
% 5.52/3.31 % (2303780)Termination reason: Instruction limit
% 5.52/3.31 % (2303780)Termination phase: Saturation
% 5.52/3.31 % (2303780)Time elapsed: 0.674 s
% 5.52/3.31 % (2303780)Peak memory usage: 140 MB
% 5.52/3.31 % (2303780)Instructions burned: 2053 (million)
% 5.52/3.31 % (2303789)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1423597447:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 5.52/3.31 % (2303791)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=883330114:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2990 on theBenchmark for (2990ds/14534Mi)
% 5.52/3.31 % (2303781)First to succeed.
% 5.52/3.31 % (2303781)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2303761"
% 5.52/3.31 % (2303791)Also succeeded, but the first one will report.
% 5.52/3.31 % (2303781)Refutation found. Thanks to Tanya!
% 5.52/3.31 % SZS status Unsatisfiable for theBenchmark
% 5.52/3.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/3.51 % (2303781)------------------------------
% 0.16/3.51 % (2303781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/3.51 % (2303781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/3.51 % (2303781)CaDiCaL version: 2.1.3
% 0.16/3.51 % (2303781)Termination reason: Refutation
% 0.16/3.51 % (2303781)Time elapsed: 1.824 s
% 0.16/3.51 % (2303781)Peak memory usage: 151 MB
% 0.16/3.51 % (2303781)Instructions burned: 3186 (million)
% 0.16/3.51 % (2303781)------------------------------
% 0.16/3.51 % (2303781)------------------------------
% 0.16/3.51 % (2303761)Success in time 2.459 s
% 0.16/3.51 % Vampire exiting
%------------------------------------------------------------------------------