TSTP Solution File: REL015+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : REL015+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n029.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 : Tue Apr 30 14:48:04 EDT 2024
% Result : Theorem 0.22s 0.52s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 13
% Syntax : Number of formulae : 94 ( 94 unt; 0 def)
% Number of atoms : 94 ( 93 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 118 ( 118 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5406,plain,
$false,
inference(trivial_inequality_removal,[],[f5399]) ).
fof(f5399,plain,
top != top,
inference(superposition,[],[f17,f5367]) ).
fof(f5367,plain,
top = composition(top,top),
inference(superposition,[],[f5326,f1684]) ).
fof(f1684,plain,
! [X0,X1] : top = join(join(complement(X0),X1),X0),
inference(superposition,[],[f1428,f31]) ).
fof(f31,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f27,f25]) ).
fof(f25,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f27,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
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',maddux3_a_kind_of_de_Morgan) ).
fof(f1428,plain,
! [X0,X1] : top = join(X0,join(X1,complement(X0))),
inference(backward_demodulation,[],[f1384,f1411]) ).
fof(f1411,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f1403,f22]) ).
fof(f22,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f1403,plain,
! [X0] : top = join(X0,top),
inference(forward_demodulation,[],[f1387,f1399]) ).
fof(f1399,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f1383,f21]) ).
fof(f21,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f1383,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[],[f98,f969]) ).
fof(f969,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f278,f887]) ).
fof(f887,plain,
! [X0] : complement(complement(X0)) = X0,
inference(superposition,[],[f669,f308]) ).
fof(f308,plain,
! [X0] : join(zero,complement(complement(X0))) = X0,
inference(backward_demodulation,[],[f189,f287]) ).
fof(f287,plain,
! [X0] : complement(complement(X0)) = meet(X0,X0),
inference(superposition,[],[f25,f278]) ).
fof(f189,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f173,f25]) ).
fof(f173,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f31,f20]) ).
fof(f20,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).
fof(f669,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(superposition,[],[f308,f533]) ).
fof(f533,plain,
! [X0] : complement(X0) = complement(complement(complement(X0))),
inference(superposition,[],[f504,f341]) ).
fof(f341,plain,
! [X0] : complement(X0) = meet(complement(X0),top),
inference(superposition,[],[f52,f308]) ).
fof(f52,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f48,f22]) ).
fof(f48,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f25,f47]) ).
fof(f47,plain,
zero = complement(top),
inference(forward_demodulation,[],[f42,f20]) ).
fof(f42,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(superposition,[],[f25,f21]) ).
fof(f504,plain,
! [X0,X1] : meet(X0,X1) = complement(complement(meet(X0,X1))),
inference(backward_demodulation,[],[f25,f503]) ).
fof(f503,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(forward_demodulation,[],[f502,f458]) ).
fof(f458,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f455,f22]) ).
fof(f455,plain,
! [X0] : complement(X0) = join(zero,complement(join(complement(complement(X0)),X0))),
inference(superposition,[],[f31,f445]) ).
fof(f445,plain,
! [X0] : zero = meet(complement(X0),X0),
inference(forward_demodulation,[],[f440,f47]) ).
fof(f440,plain,
! [X0] : complement(top) = meet(complement(X0),X0),
inference(superposition,[],[f25,f399]) ).
fof(f399,plain,
! [X0] : top = join(complement(complement(X0)),complement(X0)),
inference(superposition,[],[f376,f342]) ).
fof(f342,plain,
! [X0] : complement(X0) = meet(top,complement(X0)),
inference(superposition,[],[f49,f308]) ).
fof(f49,plain,
! [X0] : meet(top,X0) = complement(join(zero,complement(X0))),
inference(superposition,[],[f25,f47]) ).
fof(f376,plain,
! [X0] : top = join(complement(X0),meet(top,X0)),
inference(forward_demodulation,[],[f375,f25]) ).
fof(f375,plain,
! [X0] : top = join(complement(X0),complement(join(complement(top),complement(X0)))),
inference(superposition,[],[f31,f342]) ).
fof(f502,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f495,f40]) ).
fof(f40,plain,
! [X2,X0,X1] : meet(join(complement(X0),complement(X1)),X2) = complement(join(meet(X0,X1),complement(X2))),
inference(superposition,[],[f25,f25]) ).
fof(f495,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),
inference(superposition,[],[f464,f25]) ).
fof(f464,plain,
! [X0] : join(zero,meet(X0,complement(complement(X0)))) = X0,
inference(superposition,[],[f202,f22]) ).
fof(f202,plain,
! [X0] : join(meet(X0,complement(complement(X0))),zero) = X0,
inference(forward_demodulation,[],[f184,f47]) ).
fof(f184,plain,
! [X0] : join(meet(X0,complement(complement(X0))),complement(top)) = X0,
inference(superposition,[],[f31,f21]) ).
fof(f278,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f277,f217]) ).
fof(f217,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f165,f209]) ).
fof(f209,plain,
one = converse(one),
inference(superposition,[],[f165,f19]) ).
fof(f19,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f165,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f151,f18]) ).
fof(f18,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f151,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f33,f19]) ).
fof(f33,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f23,f18]) ).
fof(f23,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f277,plain,
! [X0] : complement(X0) = join(complement(composition(one,X0)),complement(X0)),
inference(forward_demodulation,[],[f258,f217]) ).
fof(f258,plain,
! [X0] : complement(X0) = join(composition(one,complement(composition(one,X0))),complement(X0)),
inference(superposition,[],[f26,f209]) ).
fof(f26,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f98,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f29,f21]) ).
fof(f29,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f1387,plain,
! [X0] : join(X0,top) = join(top,complement(complement(X0))),
inference(superposition,[],[f98,f21]) ).
fof(f1384,plain,
! [X0,X1] : join(top,X1) = join(X0,join(X1,complement(X0))),
inference(superposition,[],[f98,f22]) ).
fof(f5326,plain,
! [X0] : top = composition(top,join(X0,one)),
inference(forward_demodulation,[],[f5325,f1444]) ).
fof(f1444,plain,
top = converse(top),
inference(forward_demodulation,[],[f1422,f1433]) ).
fof(f1433,plain,
! [X0] : top = join(X0,converse(top)),
inference(backward_demodulation,[],[f1390,f1411]) ).
fof(f1390,plain,
! [X0] : join(X0,converse(top)) = join(top,converse(complement(converse(complement(X0))))),
inference(superposition,[],[f98,f478]) ).
fof(f478,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f34,f21]) ).
fof(f34,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f24,f18]) ).
fof(f24,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f1422,plain,
! [X0] : converse(top) = join(X0,converse(top)),
inference(superposition,[],[f34,f1403]) ).
fof(f5325,plain,
! [X0] : converse(top) = composition(top,join(X0,one)),
inference(forward_demodulation,[],[f5324,f1411]) ).
fof(f5324,plain,
! [X0] : composition(top,join(X0,one)) = converse(join(top,composition(converse(X0),top))),
inference(forward_demodulation,[],[f5277,f356]) ).
fof(f356,plain,
! [X0,X1] : composition(join(one,X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f30,f217]) ).
fof(f30,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f5277,plain,
! [X0] : composition(top,join(X0,one)) = converse(composition(join(one,converse(X0)),top)),
inference(superposition,[],[f3682,f230]) ).
fof(f230,plain,
! [X0] : join(one,converse(X0)) = converse(join(X0,one)),
inference(forward_demodulation,[],[f225,f22]) ).
fof(f225,plain,
! [X0] : converse(join(X0,one)) = join(converse(X0),one),
inference(superposition,[],[f24,f209]) ).
fof(f3682,plain,
! [X0] : composition(top,X0) = converse(composition(converse(X0),top)),
inference(superposition,[],[f18,f1469]) ).
fof(f1469,plain,
! [X0] : converse(composition(top,X0)) = composition(converse(X0),top),
inference(superposition,[],[f23,f1444]) ).
fof(f17,plain,
top != composition(top,top),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
top != composition(top,top),
inference(flattening,[],[f15]) ).
fof(f15,negated_conjecture,
top != composition(top,top),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
top = composition(top,top),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : REL015+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 00:37:05 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (19902)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (19907)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.39 % (19908)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.39 % (19905)WARNING: value z3 for option sas not known
% 0.15/0.39 % (19903)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 % (19904)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (19906)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 % (19905)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.39 % (19909)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.39 TRYING [1]
% 0.15/0.40 TRYING [2]
% 0.15/0.40 TRYING [1]
% 0.15/0.40 TRYING [3]
% 0.15/0.40 TRYING [2]
% 0.15/0.41 TRYING [3]
% 0.15/0.42 TRYING [4]
% 0.22/0.45 TRYING [4]
% 0.22/0.46 TRYING [5]
% 0.22/0.51 % (19908)First to succeed.
% 0.22/0.52 % (19908)Refutation found. Thanks to Tanya!
% 0.22/0.52 % SZS status Theorem for theBenchmark
% 0.22/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.52 % (19908)------------------------------
% 0.22/0.52 % (19908)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.52 % (19908)Termination reason: Refutation
% 0.22/0.52
% 0.22/0.52 % (19908)Memory used [KB]: 2922
% 0.22/0.52 % (19908)Time elapsed: 0.129 s
% 0.22/0.52 % (19908)Instructions burned: 304 (million)
% 0.22/0.52 % (19908)------------------------------
% 0.22/0.52 % (19908)------------------------------
% 0.22/0.52 % (19902)Success in time 0.152 s
%------------------------------------------------------------------------------