TSTP Solution File: REL002+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : REL002+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 : n011.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 : Sun May 5 08:52:50 EDT 2024
% Result : Theorem 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 60 ( 59 unt; 0 def)
% Number of atoms : 61 ( 60 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 75 ( 73 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2160,plain,
$false,
inference(trivial_inequality_removal,[],[f2147]) ).
fof(f2147,plain,
top != top,
inference(superposition,[],[f33,f2122]) ).
fof(f2122,plain,
! [X0] : top = join(top,X0),
inference(forward_demodulation,[],[f2102,f949]) ).
fof(f949,plain,
! [X0] : meet(X0,top) = X0,
inference(forward_demodulation,[],[f553,f590]) ).
fof(f590,plain,
! [X0] : complement(complement(X0)) = X0,
inference(superposition,[],[f547,f243]) ).
fof(f243,plain,
! [X0] : complement(complement(X0)) = meet(X0,X0),
inference(superposition,[],[f27,f236]) ).
fof(f236,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f235,f184]) ).
fof(f184,plain,
! [X0] : composition(one,X0) = X0,
inference(forward_demodulation,[],[f177,f167]) ).
fof(f167,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f153,f20]) ).
fof(f20,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(f153,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f36,f21]) ).
fof(f21,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(f36,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f25,f20]) ).
fof(f25,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(f177,plain,
! [X0] : composition(one,X0) = composition(converse(one),X0),
inference(superposition,[],[f167,f56]) ).
fof(f56,plain,
! [X0,X1] : composition(X0,X1) = composition(X0,composition(one,X1)),
inference(superposition,[],[f30,f21]) ).
fof(f30,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_associativity) ).
fof(f235,plain,
! [X0] : complement(X0) = join(composition(one,complement(X0)),complement(X0)),
inference(forward_demodulation,[],[f214,f20]) ).
fof(f214,plain,
! [X0] : complement(X0) = join(composition(converse(converse(one)),complement(X0)),complement(X0)),
inference(superposition,[],[f28,f167]) ).
fof(f28,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(f27,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(f547,plain,
! [X0] : meet(X0,X0) = X0,
inference(superposition,[],[f543,f506]) ).
fof(f506,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f483,f27]) ).
fof(f483,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f378,f22]) ).
fof(f22,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(f378,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f29,f27]) ).
fof(f29,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(f543,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f248,f506]) ).
fof(f248,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(superposition,[],[f31,f242]) ).
fof(f242,plain,
zero = join(zero,zero),
inference(superposition,[],[f236,f50]) ).
fof(f50,plain,
zero = complement(top),
inference(forward_demodulation,[],[f45,f22]) ).
fof(f45,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(superposition,[],[f27,f23]) ).
fof(f23,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(f31,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(f553,plain,
! [X0] : complement(complement(X0)) = meet(X0,top),
inference(superposition,[],[f55,f543]) ).
fof(f55,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f51,f24]) ).
fof(f24,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(f51,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f27,f50]) ).
fof(f2102,plain,
! [X0] : top = join(top,meet(X0,top)),
inference(superposition,[],[f2077,f55]) ).
fof(f2077,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f2034,f23]) ).
fof(f2034,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[],[f115,f236]) ).
fof(f115,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f31,f23]) ).
fof(f33,plain,
top != join(top,sK0),
inference(superposition,[],[f19,f24]) ).
fof(f19,plain,
top != join(sK0,top),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
top != join(sK0,top),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).
fof(f17,plain,
( ? [X0] : top != join(X0,top)
=> top != join(sK0,top) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0] : top != join(X0,top),
inference(ennf_transformation,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X0] : top = join(X0,top),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X0] : top = join(X0,top),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : REL002+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n011.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 15:34:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (18496)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (18501)WARNING: value z3 for option sas not known
% 0.15/0.38 % (18499)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (18501)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)
% 0.15/0.38 % (18503)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)
% 0.15/0.38 % (18502)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (18504)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)
% 0.15/0.38 % (18505)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)
% 0.15/0.38 % (18500)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [2]
% 0.15/0.40 TRYING [4]
% 0.15/0.40 TRYING [3]
% 0.22/0.43 TRYING [4]
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 % (18501)First to succeed.
% 0.22/0.44 % (18501)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18496"
% 0.22/0.44 % (18501)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Theorem for theBenchmark
% 0.22/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.44 % (18501)------------------------------
% 0.22/0.44 % (18501)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.44 % (18501)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (18501)Memory used [KB]: 1451
% 0.22/0.44 % (18501)Time elapsed: 0.061 s
% 0.22/0.44 % (18501)Instructions burned: 109 (million)
% 0.22/0.44 % (18496)Success in time 0.077 s
%------------------------------------------------------------------------------