TSTP Solution File: REL024-2 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : REL024-2 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 13:59:04 EDT 2024
% Result : Unsatisfiable 1.98s 0.61s
% Output : Refutation 1.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 13
% Syntax : Number of formulae : 56 ( 56 unt; 0 def)
% Number of atoms : 56 ( 55 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 9 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 71 ( 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3653,plain,
$false,
inference(subsumption_resolution,[],[f3652,f52]) ).
fof(f52,plain,
! [X0,X1] : composition(X0,X1) = converse(composition(converse(X1),converse(X0))),
inference(superposition,[],[f8,f10]) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3652,plain,
composition(complement(join(complement(sk1),complement(converse(sk2)))),sk3) != converse(composition(converse(sk3),converse(complement(join(complement(sk1),complement(converse(sk2))))))),
inference(forward_demodulation,[],[f3651,f1765]) ).
fof(f1765,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f1736,f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1736,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = X0,
inference(superposition,[],[f875,f172]) ).
fof(f172,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f3,axiom,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f875,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f2,f752]) ).
fof(f752,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f154,f607]) ).
fof(f607,plain,
! [X0] : complement(complement(X0)) = X0,
inference(superposition,[],[f550,f181]) ).
fof(f181,plain,
! [X0] : join(zero,complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f180,f23]) ).
fof(f23,plain,
zero = complement(top),
inference(forward_demodulation,[],[f22,f12]) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f22,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f13,f4]) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f180,plain,
! [X0] : join(complement(top),complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f179,f1]) ).
fof(f179,plain,
! [X0] : join(complement(complement(X0)),complement(top)) = X0,
inference(forward_demodulation,[],[f178,f12]) ).
fof(f178,plain,
! [X0] : join(complement(complement(X0)),complement(join(X0,complement(X0)))) = X0,
inference(forward_demodulation,[],[f162,f1]) ).
fof(f162,plain,
! [X0] : join(complement(complement(X0)),complement(join(complement(X0),X0))) = X0,
inference(superposition,[],[f3,f154]) ).
fof(f550,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f190,f181]) ).
fof(f190,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(superposition,[],[f2,f159]) ).
fof(f159,plain,
zero = join(zero,zero),
inference(superposition,[],[f154,f23]) ).
fof(f154,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f153,f86]) ).
fof(f86,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f58,f76]) ).
fof(f76,plain,
one = converse(one),
inference(superposition,[],[f58,f6]) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f58,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(superposition,[],[f44,f8]) ).
fof(f44,plain,
! [X0] : converse(X0) = composition(converse(one),converse(X0)),
inference(superposition,[],[f10,f6]) ).
fof(f153,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(forward_demodulation,[],[f152,f86]) ).
fof(f152,plain,
! [X0] : complement(X0) = join(complement(X0),composition(one,complement(composition(one,X0)))),
inference(forward_demodulation,[],[f141,f1]) ).
fof(f141,plain,
! [X0] : complement(X0) = join(composition(one,complement(composition(one,X0))),complement(X0)),
inference(superposition,[],[f11,f76]) ).
fof(f11,axiom,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3651,plain,
composition(complement(join(complement(sk1),complement(converse(sk2)))),sk3) != converse(composition(converse(join(sk3,complement(join(complement(sk3),join(complement(sk3),complement(sk2)))))),converse(complement(join(complement(sk1),complement(converse(sk2))))))),
inference(forward_demodulation,[],[f3650,f9]) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3650,plain,
composition(complement(join(complement(sk1),complement(converse(sk2)))),sk3) != converse(composition(join(converse(sk3),converse(complement(join(complement(sk3),join(complement(sk3),complement(sk2)))))),converse(complement(join(complement(sk1),complement(converse(sk2))))))),
inference(forward_demodulation,[],[f3649,f7]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3649,plain,
composition(complement(join(complement(sk1),complement(converse(sk2)))),sk3) != converse(join(composition(converse(sk3),converse(complement(join(complement(sk1),complement(converse(sk2)))))),composition(converse(complement(join(complement(sk3),join(complement(sk3),complement(sk2))))),converse(complement(join(complement(sk1),complement(converse(sk2)))))))),
inference(forward_demodulation,[],[f3648,f38]) ).
fof(f38,plain,
! [X0,X1] : converse(join(X0,X1)) = converse(join(X1,X0)),
inference(forward_demodulation,[],[f37,f8]) ).
fof(f37,plain,
! [X0,X1] : converse(join(X0,X1)) = converse(join(X1,converse(converse(X0)))),
inference(forward_demodulation,[],[f34,f33]) ).
fof(f33,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f9,f8]) ).
fof(f34,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(superposition,[],[f9,f1]) ).
fof(f3648,plain,
composition(complement(join(complement(sk1),complement(converse(sk2)))),sk3) != converse(join(composition(converse(complement(join(complement(sk3),join(complement(sk3),complement(sk2))))),converse(complement(join(complement(sk1),complement(converse(sk2)))))),composition(converse(sk3),converse(complement(join(complement(sk1),complement(converse(sk2)))))))),
inference(forward_demodulation,[],[f3647,f694]) ).
fof(f694,plain,
! [X2,X0,X1] : converse(join(X2,composition(converse(X0),converse(X1)))) = converse(join(X2,converse(composition(X1,X0)))),
inference(forward_demodulation,[],[f654,f33]) ).
fof(f654,plain,
! [X2,X0,X1] : converse(join(X2,composition(converse(X0),converse(X1)))) = join(converse(X2),composition(X1,X0)),
inference(superposition,[],[f9,f52]) ).
fof(f3647,plain,
composition(complement(join(complement(sk1),complement(converse(sk2)))),sk3) != converse(join(composition(converse(complement(join(complement(sk3),join(complement(sk3),complement(sk2))))),converse(complement(join(complement(sk1),complement(converse(sk2)))))),converse(composition(complement(join(complement(sk1),complement(converse(sk2)))),sk3)))),
inference(forward_demodulation,[],[f3556,f657]) ).
fof(f657,plain,
! [X2,X0,X1] : join(composition(X1,X0),X2) = converse(join(composition(converse(X0),converse(X1)),converse(X2))),
inference(superposition,[],[f33,f52]) ).
fof(f3556,plain,
composition(complement(join(complement(sk1),complement(converse(sk2)))),sk3) != join(composition(complement(join(complement(sk1),complement(converse(sk2)))),complement(join(complement(sk3),join(complement(sk3),complement(sk2))))),composition(complement(join(complement(sk1),complement(converse(sk2)))),sk3)),
inference(superposition,[],[f18,f877]) ).
fof(f877,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X0,X1)),
inference(superposition,[],[f66,f752]) ).
fof(f66,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f2,f1]) ).
fof(f18,plain,
composition(complement(join(complement(sk1),complement(converse(sk2)))),sk3) != join(composition(complement(join(complement(sk1),complement(converse(sk2)))),complement(join(complement(sk2),complement(sk3)))),composition(complement(join(complement(sk1),complement(converse(sk2)))),sk3)),
inference(definition_unfolding,[],[f17,f4,f4,f4,f4]) ).
fof(f17,axiom,
composition(meet(sk1,converse(sk2)),sk3) != join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(meet(sk1,converse(sk2)),sk3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : REL024-2 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.11 % Command : run_vampire %s %d THM
% 0.10/0.30 % Computer : n025.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sun Jun 23 05:30:54 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.32 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.16/0.33 Running first-order theorem proving
% 0.16/0.33 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.38 % (29163)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (29164)dis+10_28091:1048576_to=lpo:drc=encompass:sil=128000:tgt=full:erd=off:cond=on:i=107869:doe=on:ins=2:av=off:dpc=on:irc=eager:s2pl=on:s2agt=5:s2at=4.0:foolp=on_0 on theBenchmark for (2999ds/107869Mi)
% 0.16/0.38 % (29163)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (29167)lrs+10_3:107_sil=64000:i=143:ss=axioms:sgt=16:rawr=on:to=lpo:drc=encompass_0 on theBenchmark for (2999ds/143Mi)
% 0.16/0.38 % (29163)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (29168)lrs+10_2:1_to=lpo:drc=encompass:sil=4000:tgt=full:sp=const_min:urr=on:nwc=5.0:i=129:rawr=on_0 on theBenchmark for (2999ds/129Mi)
% 0.16/0.38 % (29163)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (29165)lrs+10_1:1_drc=encompass:sil=256000:tgt=ground:sp=unary_first:sos=on:i=220312:kws=precedence:lwlo=on:irc=lazy_0 on theBenchmark for (2999ds/220312Mi)
% 0.16/0.38 % (29163)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (29169)lrs+10_1:12_drc=encompass:sil=256000:tgt=full:spb=intro:i=735:kws=precedence:awrs=converge:awrsf=500:irc=lazy_0 on theBenchmark for (2999ds/735Mi)
% 0.16/0.38 % (29163)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (29166)lrs+10_16:1_sfv=off:sil=2000:sp=reverse_frequency:urr=ec_only:br=off:i=126:doe=on:irc=lazy:to=lpo:fd=preordered:bd=preordered:fsd=on:drc=encompass_0 on theBenchmark for (2999ds/126Mi)
% 0.16/0.38 % (29163)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (29170)dis+10_577:524288_drc=encompass:sil=256000:sp=const_frequency:spb=units:i=214:doe=on:bd=off:av=off:dpc=on:irc=eager:uhcvi=on:ss=included:rawr=on:to=lpo:slsq=on:slsqr=8,31:s2agt=5:s2at=4.0:fdi=2_0 on theBenchmark for (2999ds/214Mi)
% 0.16/0.39 % (29165)Refutation not found, incomplete strategy% (29165)------------------------------
% 0.16/0.39 % (29165)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.16/0.39 % (29165)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.16/0.39 % (29165)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.39
% 0.16/0.39 % (29165)Memory used [KB]: 844
% 0.16/0.39 % (29165)Time elapsed: 0.004 s
% 0.16/0.39 % (29165)Instructions burned: 5 (million)
% 0.16/0.39 % (29165)------------------------------
% 0.16/0.39 % (29165)------------------------------
% 0.16/0.43 % (29166)Instruction limit reached!
% 0.16/0.43 % (29166)------------------------------
% 0.16/0.43 % (29166)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.16/0.43 % (29166)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.16/0.43 % (29166)Termination reason: Time limit
% 0.16/0.43 % (29166)Termination phase: Saturation
% 0.16/0.43
% 0.16/0.43 % (29166)Memory used [KB]: 2685
% 0.16/0.43 % (29166)Time elapsed: 0.051 s
% 0.16/0.43 % (29166)Instructions burned: 128 (million)
% 0.16/0.44 % (29163)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.44 % (29171)lrs+10_1:64_sil=8000:tgt=full:spb=non_intro:i=204:kws=precedence:plsq=on:awrs=converge:awrsf=30:sp=weighted_frequency:drc=encompass:irc=eager_0 on theBenchmark for (2999ds/204Mi)
% 0.16/0.45 % (29168)Instruction limit reached!
% 0.16/0.45 % (29168)------------------------------
% 0.16/0.45 % (29168)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.16/0.45 % (29168)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.16/0.45 % (29168)Termination reason: Time limit
% 0.16/0.45 % (29168)Termination phase: Saturation
% 0.16/0.45
% 0.16/0.45 % (29168)Memory used [KB]: 2412
% 0.16/0.45 % (29168)Time elapsed: 0.068 s
% 0.16/0.45 % (29168)Instructions burned: 129 (million)
% 0.16/0.45 % (29167)Instruction limit reached!
% 0.16/0.45 % (29167)------------------------------
% 0.16/0.45 % (29167)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.16/0.45 % (29167)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.16/0.45 % (29167)Termination reason: Time limit
% 0.16/0.45 % (29167)Termination phase: Saturation
% 0.16/0.45
% 0.16/0.45 % (29167)Memory used [KB]: 1517
% 0.16/0.45 % (29167)Time elapsed: 0.071 s
% 0.16/0.45 % (29167)Instructions burned: 145 (million)
% 0.16/0.48 % (29163)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.48 % (29172)lrs+10_1:1_to=lpo:drc=encompass:sil=2000:fde=unused:sp=const_min:i=444:fd=preordered:irc=eager:bd=preordered:ss=axioms_0 on theBenchmark for (2998ds/444Mi)
% 0.16/0.48 % (29170)Instruction limit reached!
% 0.16/0.48 % (29170)------------------------------
% 0.16/0.48 % (29170)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.16/0.48 % (29170)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.16/0.48 % (29170)Termination reason: Time limit
% 0.16/0.48 % (29170)Termination phase: Saturation
% 0.16/0.48
% 0.16/0.48 % (29170)Memory used [KB]: 2678
% 0.16/0.48 % (29170)Time elapsed: 0.101 s
% 0.16/0.48 % (29170)Instructions burned: 215 (million)
% 0.16/0.49 % (29163)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.49 % (29174)lrs+10_3:4_to=lpo:drc=encompass:sil=4000:sp=reverse_frequency:i=390:ss=axioms:sgt=16:s2a=on:s2at=3.0:irc=lazy:bd=off_0 on theBenchmark for (2998ds/390Mi)
% 0.16/0.51 % (29163)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.51 % (29173)lrs+10_3:58_drc=encompass:sil=256000:tgt=full:bsd=on:sp=reverse_arity:lwlo=on:s2a=on:i=365:s2at=2.0:kws=precedence:bsr=on:irw=on:dpc=on:fibus=on:doe=on:bs=on:br=off:erd=off:s2agt=20:nwc=8.95214440448525:cond=fast:foolp=on:spb=non_intro:sfv=off:irc=lazy:fde=unused:ins=3_0 on theBenchmark for (2998ds/365Mi)
% 0.16/0.54 % (29171)Instruction limit reached!
% 0.16/0.54 % (29171)------------------------------
% 0.16/0.54 % (29171)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.16/0.54 % (29171)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.16/0.54 % (29171)Termination reason: Time limit
% 0.16/0.54 % (29171)Termination phase: Saturation
% 0.16/0.54
% 0.16/0.54 % (29171)Memory used [KB]: 3287
% 0.16/0.54 % (29171)Time elapsed: 0.094 s
% 0.16/0.54 % (29171)Instructions burned: 204 (million)
% 0.16/0.54 % (29163)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.54 % (29175)lrs+10_1:4_to=lpo:drc=encompass:sil=4000:tgt=full:i=2789:bd=preordered:fd=preordered_0 on theBenchmark for (2998ds/2789Mi)
% 0.16/0.58 % (29163)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.58 % (29176)lrs+10_1:3_drc=encompass:sil=256000:tgt=ground:sp=unary_first:i=975:ss=axioms:sgt=10:rawr=on:urr=on:ins=1:plsq=on:dpc=on:spb=intro:sd=4:fsr=off:bs=on:kws=inv_arity:irc=lazy:nwc=5.0_0 on theBenchmark for (2997ds/975Mi)
% 0.16/0.60 % (29174)First to succeed.
% 0.16/0.60 % (29174)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29163"
% 1.98/0.61 % (29163)Running in auto input_syntax mode. Trying TPTP
% 1.98/0.61 % (29174)Refutation found. Thanks to Tanya!
% 1.98/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.98/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.98/0.61 % (29174)------------------------------
% 1.98/0.61 % (29174)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.98/0.61 % (29174)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.98/0.61 % (29174)Termination reason: Refutation
% 1.98/0.61
% 1.98/0.61 % (29174)Memory used [KB]: 3631
% 1.98/0.61 % (29174)Time elapsed: 0.118 s
% 1.98/0.61 % (29174)Instructions burned: 254 (million)
% 1.98/0.61 % (29174)------------------------------
% 1.98/0.61 % (29174)------------------------------
% 1.98/0.61 % (29163)Success in time 0.272 s
%------------------------------------------------------------------------------