%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP002-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 10:12:04 AM UTC 2026
% Result : Unsatisfiable 2.64s 1.29s
% Output : Refutation 3.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 13
% Syntax : Number of formulae : 94 ( 94 unt; 1 def)
% Number of atoms : 94 ( 80 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 14 ( 14 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 17 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 76 ( 76 !; 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] : multiply(X0,multiply(X0,X0)) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_cubed_is_identity) ).
fof(f9,plain,
! [X0] : identity = multiply(X0,multiply(X0,X0)),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
multiply(a,b) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b_is_c) ).
fof(f11,negated_conjecture,
multiply(c,inverse(a)) = d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_times_inverse_a_is_d) ).
fof(f12,negated_conjecture,
multiply(d,inverse(b)) = h,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_times_inverse_b_is_h) ).
fof(f13,negated_conjecture,
multiply(h,b) = j,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_times_b_is_j) ).
fof(f14,negated_conjecture,
multiply(j,inverse(h)) = k,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',j_times_inverse_h_is_k) ).
fof(f15,negated_conjecture,
multiply(k,inverse(b)) != identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_k_times_inverse_b_is_e) ).
fof(f16,plain,
identity != multiply(k,inverse(b)),
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
~ sP0(multiply(k,inverse(b))),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f18,plain,
sP0(identity),
inference(inequality_splitting,[],[f16,f17]) ).
fof(f30,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f33,plain,
! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(multiply(X0,X0),X1)),
inference(superposition,[],[f4,f9]) ).
fof(f35,plain,
! [X0] : multiply(c,multiply(inverse(a),X0)) = multiply(d,X0),
inference(superposition,[],[f4,f11]) ).
fof(f36,plain,
! [X0] : multiply(d,multiply(inverse(b),X0)) = multiply(h,X0),
inference(superposition,[],[f4,f12]) ).
fof(f37,plain,
! [X0] : multiply(j,multiply(inverse(h),X0)) = multiply(k,X0),
inference(superposition,[],[f4,f14]) ).
fof(f38,plain,
! [X0] : multiply(a,multiply(b,X0)) = multiply(c,X0),
inference(superposition,[],[f4,f10]) ).
fof(f39,plain,
! [X0] : multiply(h,multiply(b,X0)) = multiply(j,X0),
inference(superposition,[],[f4,f13]) ).
fof(f51,plain,
! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(X0,multiply(X0,X1))),
inference(forward_demodulation,[],[f33,f4]) ).
fof(f53,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f30,f1]) ).
fof(f54,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(X0,X1))) = X1,
inference(forward_demodulation,[],[f51,f1]) ).
fof(f58,plain,
multiply(a,identity) = multiply(c,inverse(b)),
inference(superposition,[],[f38,f7]) ).
fof(f61,plain,
a = multiply(c,inverse(b)),
inference(forward_demodulation,[],[f58,f5]) ).
fof(f66,plain,
multiply(j,multiply(b,b)) = multiply(h,identity),
inference(superposition,[],[f39,f9]) ).
fof(f71,plain,
h = multiply(j,multiply(b,b)),
inference(forward_demodulation,[],[f66,f5]) ).
fof(f87,plain,
multiply(h,b) = multiply(d,identity),
inference(superposition,[],[f36,f3]) ).
fof(f96,plain,
d = multiply(h,b),
inference(forward_demodulation,[],[f87,f5]) ).
fof(f98,plain,
d = j,
inference(backward_demodulation,[],[f13,f96]) ).
fof(f99,plain,
h = multiply(d,multiply(b,b)),
inference(backward_demodulation,[],[f71,f98]) ).
fof(f101,plain,
! [X0] : multiply(k,X0) = multiply(d,multiply(inverse(h),X0)),
inference(backward_demodulation,[],[f37,f98]) ).
fof(f102,plain,
! [X0] : multiply(d,X0) = multiply(h,multiply(b,X0)),
inference(backward_demodulation,[],[f39,f98]) ).
fof(f103,plain,
k = multiply(d,inverse(h)),
inference(backward_demodulation,[],[f14,f98]) ).
fof(f160,plain,
! [X0] : multiply(h,X0) = multiply(d,multiply(multiply(b,b),X0)),
inference(superposition,[],[f4,f99]) ).
fof(f161,plain,
! [X0] : multiply(h,X0) = multiply(d,multiply(b,multiply(b,X0))),
inference(forward_demodulation,[],[f160,f4]) ).
fof(f167,plain,
! [X0] : multiply(X0,X0) = multiply(inverse(X0),identity),
inference(superposition,[],[f53,f9]) ).
fof(f171,plain,
! [X0] : multiply(inverse(h),X0) = multiply(inverse(d),multiply(k,X0)),
inference(superposition,[],[f53,f101]) ).
fof(f172,plain,
! [X0] : multiply(b,X0) = multiply(inverse(h),multiply(d,X0)),
inference(superposition,[],[f53,f102]) ).
fof(f193,plain,
! [X0] : multiply(b,X0) = multiply(inverse(d),multiply(k,multiply(d,X0))),
inference(backward_demodulation,[],[f172,f171]) ).
fof(f197,plain,
! [X0] : inverse(X0) = multiply(X0,X0),
inference(forward_demodulation,[],[f167,f5]) ).
fof(f214,plain,
! [X0] : multiply(b,X0) = multiply(a,multiply(a,multiply(c,X0))),
inference(superposition,[],[f54,f38]) ).
fof(f216,plain,
! [X0] : multiply(b,X0) = multiply(h,multiply(h,multiply(d,X0))),
inference(superposition,[],[f54,f102]) ).
fof(f221,plain,
inverse(b) = multiply(c,multiply(c,a)),
inference(superposition,[],[f54,f61]) ).
fof(f237,plain,
! [X0,X1] : multiply(inverse(X1),X0) = multiply(X1,multiply(X1,X0)),
inference(superposition,[],[f53,f54]) ).
fof(f240,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,multiply(multiply(X1,X2),multiply(multiply(X1,X2),X0)))) = X0,
inference(superposition,[],[f4,f54]) ).
fof(f241,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,multiply(X1,multiply(X2,multiply(multiply(X1,X2),X0))))) = X0,
inference(forward_demodulation,[],[f240,f4]) ).
fof(f245,plain,
! [X0] : multiply(d,X0) = multiply(c,multiply(a,multiply(a,X0))),
inference(backward_demodulation,[],[f35,f237]) ).
fof(f247,plain,
! [X0] : multiply(inverse(d),multiply(k,X0)) = multiply(h,multiply(h,X0)),
inference(backward_demodulation,[],[f171,f237]) ).
fof(f256,plain,
! [X0] : multiply(b,X0) = multiply(d,multiply(d,multiply(k,multiply(d,X0)))),
inference(backward_demodulation,[],[f193,f237]) ).
fof(f274,plain,
! [X0] : multiply(h,X0) = multiply(d,multiply(b,multiply(h,multiply(h,multiply(d,X0))))),
inference(backward_demodulation,[],[f161,f216]) ).
fof(f284,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,multiply(X1,multiply(X2,multiply(X1,multiply(X2,X0)))))) = X0,
inference(forward_demodulation,[],[f241,f4]) ).
fof(f287,plain,
! [X0] : multiply(a,multiply(a,multiply(c,X0))) = multiply(d,multiply(d,multiply(k,multiply(d,X0)))),
inference(forward_demodulation,[],[f256,f214]) ).
fof(f291,plain,
! [X0] : multiply(h,multiply(h,X0)) = multiply(d,multiply(d,multiply(k,X0))),
inference(forward_demodulation,[],[f247,f237]) ).
fof(f300,plain,
k = multiply(c,multiply(a,multiply(a,inverse(h)))),
inference(backward_demodulation,[],[f103,f245]) ).
fof(f313,plain,
! [X0] : multiply(h,X0) = multiply(c,multiply(a,multiply(a,multiply(b,multiply(h,multiply(h,multiply(d,X0))))))),
inference(forward_demodulation,[],[f274,f245]) ).
fof(f319,plain,
! [X0] : multiply(a,multiply(a,multiply(c,X0))) = multiply(c,multiply(a,multiply(a,multiply(d,multiply(k,multiply(d,X0)))))),
inference(forward_demodulation,[],[f287,f245]) ).
fof(f322,plain,
! [X0] : multiply(h,multiply(h,X0)) = multiply(c,multiply(a,multiply(a,multiply(d,multiply(k,X0))))),
inference(forward_demodulation,[],[f291,f245]) ).
fof(f333,plain,
! [X0] : multiply(h,X0) = multiply(c,multiply(a,multiply(a,multiply(a,multiply(a,multiply(c,multiply(h,multiply(h,multiply(d,X0))))))))),
inference(forward_demodulation,[],[f313,f214]) ).
fof(f336,plain,
! [X0] : multiply(a,multiply(a,multiply(c,X0))) = multiply(c,multiply(a,multiply(a,multiply(c,multiply(a,multiply(a,multiply(k,multiply(d,X0)))))))),
inference(forward_demodulation,[],[f319,f245]) ).
fof(f337,plain,
! [X0] : multiply(h,multiply(h,X0)) = multiply(c,multiply(a,multiply(a,multiply(c,multiply(a,multiply(a,multiply(k,X0))))))),
inference(forward_demodulation,[],[f322,f245]) ).
fof(f342,plain,
! [X0] : multiply(h,X0) = multiply(c,multiply(a,multiply(c,multiply(h,multiply(h,multiply(d,X0)))))),
inference(forward_demodulation,[],[f333,f54]) ).
fof(f343,plain,
! [X0] : multiply(a,multiply(a,multiply(c,X0))) = multiply(c,multiply(a,multiply(a,multiply(c,multiply(a,multiply(a,multiply(k,multiply(c,multiply(a,multiply(a,X0)))))))))),
inference(forward_demodulation,[],[f336,f245]) ).
fof(f347,plain,
! [X0] : multiply(h,X0) = multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,multiply(a,multiply(c,multiply(a,multiply(a,multiply(k,multiply(d,X0))))))))))),
inference(forward_demodulation,[],[f342,f337]) ).
fof(f349,plain,
! [X0] : multiply(h,X0) = multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,multiply(a,multiply(c,multiply(a,multiply(a,multiply(k,multiply(c,multiply(a,multiply(a,X0))))))))))))),
inference(forward_demodulation,[],[f347,f245]) ).
fof(f351,plain,
! [X0] : multiply(h,X0) = multiply(c,multiply(a,multiply(c,multiply(a,multiply(a,multiply(c,X0)))))),
inference(forward_demodulation,[],[f349,f343]) ).
fof(f380,plain,
! [X0] : multiply(k,X0) = multiply(c,multiply(multiply(a,multiply(a,inverse(h))),X0)),
inference(superposition,[],[f4,f300]) ).
fof(f381,plain,
! [X0] : multiply(k,X0) = multiply(c,multiply(a,multiply(multiply(a,inverse(h)),X0))),
inference(forward_demodulation,[],[f380,f4]) ).
fof(f382,plain,
! [X0] : multiply(k,X0) = multiply(c,multiply(a,multiply(a,multiply(inverse(h),X0)))),
inference(forward_demodulation,[],[f381,f4]) ).
fof(f383,plain,
! [X0] : multiply(k,X0) = multiply(c,multiply(a,multiply(a,multiply(h,multiply(h,X0))))),
inference(forward_demodulation,[],[f382,f237]) ).
fof(f384,plain,
! [X0] : multiply(k,X0) = multiply(c,multiply(a,multiply(a,multiply(c,multiply(a,multiply(c,multiply(a,multiply(a,multiply(c,multiply(h,X0)))))))))),
inference(forward_demodulation,[],[f383,f351]) ).
fof(f385,plain,
! [X0] : multiply(k,X0) = multiply(c,multiply(a,multiply(a,multiply(c,multiply(a,multiply(c,multiply(a,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,multiply(a,multiply(a,multiply(c,X0))))))))))))))),
inference(forward_demodulation,[],[f384,f351]) ).
fof(f390,plain,
~ sP0(multiply(c,multiply(a,multiply(a,multiply(c,multiply(a,multiply(c,multiply(a,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,multiply(a,multiply(a,multiply(c,inverse(b))))))))))))))))),
inference(backward_demodulation,[],[f17,f385]) ).
fof(f392,plain,
~ sP0(multiply(c,multiply(a,multiply(a,multiply(c,multiply(a,multiply(c,multiply(a,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,multiply(a,multiply(a,a))))))))))))))),
inference(forward_demodulation,[],[f390,f61]) ).
fof(f396,plain,
~ sP0(multiply(c,multiply(a,multiply(a,multiply(c,multiply(a,multiply(c,multiply(a,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,multiply(a,inverse(a))))))))))))))),
inference(forward_demodulation,[],[f392,f197]) ).
fof(f399,plain,
~ sP0(multiply(c,multiply(a,multiply(a,multiply(c,multiply(a,multiply(c,multiply(a,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,identity))))))))))))),
inference(forward_demodulation,[],[f396,f7]) ).
fof(f402,plain,
~ sP0(multiply(c,multiply(a,multiply(a,multiply(c,multiply(a,multiply(c,multiply(a,multiply(a,multiply(c,multiply(c,multiply(a,c)))))))))))),
inference(forward_demodulation,[],[f399,f5]) ).
fof(f412,plain,
! [X0] : multiply(inverse(b),X0) = multiply(c,multiply(multiply(c,a),X0)),
inference(superposition,[],[f4,f221]) ).
fof(f413,plain,
! [X0] : multiply(inverse(b),X0) = multiply(c,multiply(c,multiply(a,X0))),
inference(forward_demodulation,[],[f412,f4]) ).
fof(f414,plain,
! [X0] : multiply(b,multiply(b,X0)) = multiply(c,multiply(c,multiply(a,X0))),
inference(forward_demodulation,[],[f413,f237]) ).
fof(f415,plain,
! [X0] : multiply(a,multiply(a,multiply(c,multiply(b,X0)))) = multiply(c,multiply(c,multiply(a,X0))),
inference(forward_demodulation,[],[f414,f214]) ).
fof(f416,plain,
! [X0] : multiply(a,multiply(a,multiply(c,multiply(a,multiply(a,multiply(c,X0)))))) = multiply(c,multiply(c,multiply(a,X0))),
inference(forward_demodulation,[],[f415,f214]) ).
fof(f422,plain,
~ sP0(multiply(c,multiply(a,multiply(a,multiply(c,multiply(a,multiply(c,multiply(a,multiply(a,multiply(a,multiply(a,multiply(c,multiply(a,multiply(a,multiply(c,c))))))))))))))),
inference(backward_demodulation,[],[f402,f416]) ).
fof(f423,plain,
~ sP0(multiply(c,multiply(a,multiply(a,multiply(c,multiply(a,multiply(c,multiply(a,multiply(c,multiply(a,multiply(a,multiply(c,c)))))))))))),
inference(forward_demodulation,[],[f422,f54]) ).
fof(f429,plain,
~ sP0(multiply(c,multiply(a,multiply(a,multiply(a,multiply(c,c)))))),
inference(forward_demodulation,[],[f423,f284]) ).
fof(f435,plain,
~ sP0(multiply(c,multiply(c,c))),
inference(forward_demodulation,[],[f429,f54]) ).
fof(f441,plain,
~ sP0(multiply(c,inverse(c))),
inference(forward_demodulation,[],[f435,f197]) ).
fof(f447,plain,
~ sP0(identity),
inference(forward_demodulation,[],[f441,f7]) ).
fof(f450,plain,
$false,
inference(forward_subsumption_resolution,[],[f447,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP002-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 09:18:02 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 2.64/1.29 % (2350172)Detected a unit-equality problem, will run specialized UEQ schedule.
% 2.64/1.29 % (2350268)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1471843790:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 2.64/1.29 % (2350272)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3962727678:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 2.64/1.29 % (2350274)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=4044832400:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 2.64/1.29 % (2350276)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=749897814:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 2.64/1.29 % (2350267)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=1275081946:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 2.64/1.29 % (2350266)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=3515400353:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 2.64/1.29 % (2350270)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2204495680:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 2.64/1.29 % (2350270)First to succeed.
% 2.64/1.29 % (2350270)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2350172"
% 2.64/1.29 % (2350276)Also succeeded, but the first one will report.
% 2.64/1.29 % (2350272)Instruction limit reached!
% 2.64/1.29 % (2350272)------------------------------
% 2.64/1.29 % (2350272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.29 % (2350272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.29 % (2350272)CaDiCaL version: 2.1.3
% 2.64/1.29 % (2350272)Termination reason: Instruction limit
% 2.64/1.29 % (2350272)Termination phase: Saturation
% 2.64/1.29 % (2350272)Time elapsed: 0.095 s
% 2.64/1.29 % (2350272)Peak memory usage: 89 MB
% 2.64/1.29 % (2350272)Instructions burned: 181 (million)
% 2.64/1.29 % (2350274)Instruction limit reached!
% 2.64/1.29 % (2350274)------------------------------
% 2.64/1.29 % (2350274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.29 % (2350274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.29 % (2350274)CaDiCaL version: 2.1.3
% 2.64/1.29 % (2350274)Termination reason: Instruction limit
% 2.64/1.29 % (2350274)Termination phase: Saturation
% 2.64/1.29 % (2350274)Time elapsed: 0.152 s
% 2.64/1.29 % (2350274)Peak memory usage: 90 MB
% 2.64/1.29 % (2350274)Instructions burned: 257 (million)
% 2.64/1.29 % (2350347)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=81417285:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 2.64/1.29 % (2350270)Refutation found. Thanks to Tanya!
% 2.64/1.29 % SZS status Unsatisfiable for theBenchmark
% 2.64/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.41/1.38 % (2350270)------------------------------
% 3.41/1.38 % (2350270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/1.38 % (2350270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/1.38 % (2350270)CaDiCaL version: 2.1.3
% 3.41/1.38 % (2350270)Termination reason: Refutation
% 3.41/1.38 % (2350270)Time elapsed: 0.017 s
% 3.41/1.38 % (2350270)Peak memory usage: 88 MB
% 3.41/1.38 % (2350270)Instructions burned: 27 (million)
% 3.41/1.38 % (2350270)------------------------------
% 3.41/1.38 % (2350270)------------------------------
% 3.41/1.38 % (2350172)Success in time 0.428 s
% 3.41/1.38 % Vampire exiting
%------------------------------------------------------------------------------