TSTP Solution File: REL005-3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : REL005-3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 20:37:20 EDT 2024
% Result : Unsatisfiable 9.27s 1.63s
% Output : CNFRefutation 10.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 14
% Syntax : Number of formulae : 211 ( 211 unt; 0 def)
% Number of atoms : 211 ( 210 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 364 ( 364 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : join(A,B) = join(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : join(A,join(B,C)) = join(join(A,B),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : meet(A,B) = complement(join(complement(A),complement(B))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : composition(A,composition(B,C)) = composition(composition(A,B),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : composition(A,one) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] : converse(converse(A)) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] : converse(join(A,B)) = join(converse(A),converse(B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B] : converse(composition(A,B)) = composition(converse(B),converse(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A,B] : join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A] : top = join(A,complement(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A] : zero = meet(A,complement(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [A,B,C] : join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)) = meet(composition(A,meet(B,composition(converse(A),C))),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
converse(meet(sk1,sk2)) != meet(converse(sk1),converse(sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f19,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f20,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f21,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f22,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f23,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f25,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f26,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f27,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f28,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f29,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f30,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f32,plain,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f34,plain,
converse(meet(sk1,sk2)) != meet(converse(sk1),converse(sk2)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f35,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f18,f20]) ).
fof(f36,plain,
! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f18,f28]) ).
fof(f37,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f21,f35]) ).
fof(f38,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f18,f37]) ).
fof(f40,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f25,f27]) ).
fof(f41,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(paramodulation,[status(thm)],[f18,f19]) ).
fof(f46,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(paramodulation,[status(thm)],[f18,f19]) ).
fof(f47,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(forward_demodulation,[status(thm)],[f19,f46]) ).
fof(f52,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f18,f21]) ).
fof(f53,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f21,f52]) ).
fof(f56,plain,
! [X0,X1,X2] : meet(join(complement(X0),complement(X1)),X2) = complement(join(meet(X0,X1),complement(X2))),
inference(paramodulation,[status(thm)],[f21,f21]) ).
fof(f58,plain,
! [X0,X1] : zero = meet(join(complement(X0),complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f21,f30]) ).
fof(f59,plain,
! [X0,X1] : zero = complement(join(meet(X0,X1),complement(meet(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f56,f58]) ).
fof(f60,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f29,f59]) ).
fof(f66,plain,
! [X0,X1] : composition(X0,composition(one,X1)) = composition(X0,X1),
inference(paramodulation,[status(thm)],[f23,f22]) ).
fof(f116,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f25,f26]) ).
fof(f150,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f23,f40]) ).
fof(f151,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f25,f150]) ).
fof(f203,plain,
! [X0] : X0 = join(zero,complement(join(complement(X0),complement(X0)))),
inference(paramodulation,[status(thm)],[f30,f38]) ).
fof(f204,plain,
! [X0] : X0 = join(zero,meet(X0,X0)),
inference(forward_demodulation,[status(thm)],[f21,f203]) ).
fof(f207,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f21,f38]) ).
fof(f208,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f18,f207]) ).
fof(f211,plain,
! [X0,X1,X2] : join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X2),complement(join(meet(X0,X1),X2))),
inference(paramodulation,[status(thm)],[f21,f38]) ).
fof(f212,plain,
! [X0,X1,X2] : join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X2)),meet(join(complement(X0),complement(X1)),X2)),
inference(forward_demodulation,[status(thm)],[f18,f211]) ).
fof(f213,plain,
! [X0,X1,X2] : join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X2)),complement(join(meet(X0,X1),complement(X2)))),
inference(forward_demodulation,[status(thm)],[f56,f212]) ).
fof(f227,plain,
! [X0,X1] : join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = complement(converse(X0)),
inference(paramodulation,[status(thm)],[f27,f36]) ).
fof(f228,plain,
! [X0,X1] : join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)),
inference(forward_demodulation,[status(thm)],[f25,f227]) ).
fof(f234,plain,
! [X0] : X0 = join(zero,meet(X0,complement(complement(X0)))),
inference(paramodulation,[status(thm)],[f30,f208]) ).
fof(f235,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f53,f208]) ).
fof(f239,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f53,f208]) ).
fof(f255,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f53,f235]) ).
fof(f265,plain,
! [X0] : complement(complement(X0)) = join(meet(complement(complement(X0)),X0),zero),
inference(paramodulation,[status(thm)],[f30,f239]) ).
fof(f266,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(complement(complement(X0)),X0)),
inference(forward_demodulation,[status(thm)],[f18,f265]) ).
fof(f267,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f53,f266]) ).
fof(f268,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f234,f267]) ).
fof(f279,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X0),complement(X1)),
inference(paramodulation,[status(thm)],[f21,f268]) ).
fof(f286,plain,
! [X0,X1] : join(X0,composition(converse(X1),complement(composition(X1,complement(X0))))) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f268,f36]) ).
fof(f287,plain,
! [X0,X1] : join(X0,composition(converse(X1),complement(composition(X1,complement(X0))))) = X0,
inference(forward_demodulation,[status(thm)],[f268,f286]) ).
fof(f290,plain,
! [X0,X1] : meet(X0,complement(X1)) = complement(join(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f268,f21]) ).
fof(f291,plain,
! [X0,X1] : meet(complement(X0),X1) = complement(join(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f268,f21]) ).
fof(f295,plain,
! [X0,X1,X2] : join(complement(X0),complement(X1)) = complement(meet(join(meet(X0,X1),X2),join(meet(X0,X1),complement(X2)))),
inference(backward_demodulation,[status(thm)],[f279,f213]) ).
fof(f296,plain,
! [X0,X1,X2] : complement(meet(X0,X1)) = complement(meet(join(meet(X0,X1),X2),join(meet(X0,X1),complement(X2)))),
inference(forward_demodulation,[status(thm)],[f279,f295]) ).
fof(f311,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(paramodulation,[status(thm)],[f29,f19]) ).
fof(f334,plain,
! [X0,X1] : meet(complement(X0),complement(X1)) = complement(join(X0,X1)),
inference(paramodulation,[status(thm)],[f268,f290]) ).
fof(f338,plain,
! [X0,X1] : complement(meet(X0,complement(X1))) = join(complement(X0),X1),
inference(paramodulation,[status(thm)],[f290,f268]) ).
fof(f344,plain,
! [X0,X1] : zero = meet(join(complement(X0),X1),meet(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f290,f30]) ).
fof(f345,plain,
! [X0] : complement(zero) = join(complement(X0),X0),
inference(paramodulation,[status(thm)],[f30,f338]) ).
fof(f346,plain,
! [X0] : complement(zero) = join(X0,complement(X0)),
inference(forward_demodulation,[status(thm)],[f18,f345]) ).
fof(f347,plain,
complement(zero) = top,
inference(forward_demodulation,[status(thm)],[f29,f346]) ).
fof(f348,plain,
! [X0,X1] : complement(meet(complement(X0),X1)) = join(complement(X1),X0),
inference(paramodulation,[status(thm)],[f53,f338]) ).
fof(f350,plain,
! [X0,X1,X2] : complement(meet(X0,join(complement(X1),X2))) = join(complement(X0),meet(X1,complement(X2))),
inference(paramodulation,[status(thm)],[f338,f338]) ).
fof(f388,plain,
! [X0,X1] : meet(X0,complement(join(complement(complement(X0)),X1))) = complement(join(top,X1)),
inference(paramodulation,[status(thm)],[f311,f290]) ).
fof(f389,plain,
! [X0,X1] : meet(X0,meet(complement(X0),complement(X1))) = complement(join(top,X1)),
inference(forward_demodulation,[status(thm)],[f290,f388]) ).
fof(f390,plain,
! [X0,X1] : meet(X0,complement(join(X0,X1))) = complement(join(top,X1)),
inference(forward_demodulation,[status(thm)],[f334,f389]) ).
fof(f435,plain,
! [X0,X1] : zero = meet(meet(complement(X0),X1),join(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f348,f30]) ).
fof(f436,plain,
! [X0,X1] : zero = meet(join(complement(X0),X1),meet(complement(X1),X0)),
inference(forward_demodulation,[status(thm)],[f53,f435]) ).
fof(f523,plain,
! [X0,X1,X2] : meet(complement(join(X0,X1)),X2) = complement(join(X0,join(X1,complement(X2)))),
inference(paramodulation,[status(thm)],[f19,f291]) ).
fof(f531,plain,
! [X0,X1,X2] : meet(complement(X0),meet(complement(X1),X2)) = complement(join(X0,join(complement(X2),X1))),
inference(paramodulation,[status(thm)],[f348,f291]) ).
fof(f566,plain,
! [X0] : X0 = join(meet(top,X0),meet(zero,X0)),
inference(paramodulation,[status(thm)],[f60,f255]) ).
fof(f605,plain,
! [X0] : X0 = join(meet(X0,zero),meet(top,X0)),
inference(paramodulation,[status(thm)],[f347,f239]) ).
fof(f742,plain,
! [X0] : zero = meet(join(complement(X0),top),meet(X0,zero)),
inference(paramodulation,[status(thm)],[f60,f344]) ).
fof(f743,plain,
! [X0] : zero = meet(meet(X0,zero),join(complement(X0),top)),
inference(forward_demodulation,[status(thm)],[f53,f742]) ).
fof(f744,plain,
! [X0] : zero = meet(meet(X0,zero),join(top,complement(X0))),
inference(forward_demodulation,[status(thm)],[f18,f743]) ).
fof(f947,plain,
! [X0,X1] : join(X0,composition(X1,complement(composition(converse(X1),complement(X0))))) = X0,
inference(paramodulation,[status(thm)],[f25,f287]) ).
fof(f992,plain,
! [X0,X1,X2] : join(meet(X0,complement(X1)),composition(X2,complement(composition(converse(X2),join(complement(X0),X1))))) = meet(X0,complement(X1)),
inference(paramodulation,[status(thm)],[f338,f947]) ).
fof(f1022,plain,
! [X0] : composition(one,X0) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f66,f151]) ).
fof(f1023,plain,
! [X0] : composition(one,X0) = X0,
inference(forward_demodulation,[status(thm)],[f151,f1022]) ).
fof(f1025,plain,
! [X0] : join(X0,complement(composition(one,complement(X0)))) = X0,
inference(paramodulation,[status(thm)],[f151,f287]) ).
fof(f1026,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(forward_demodulation,[status(thm)],[f1023,f1025]) ).
fof(f1027,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f268,f1026]) ).
fof(f1035,plain,
! [X0,X1] : join(meet(composition(one,X0),X1),meet(composition(one,meet(X0,X1)),X1)) = meet(composition(one,meet(X0,composition(converse(one),X1))),X1),
inference(paramodulation,[status(thm)],[f151,f32]) ).
fof(f1036,plain,
! [X0,X1] : join(meet(X0,X1),meet(composition(one,meet(X0,X1)),X1)) = meet(composition(one,meet(X0,composition(converse(one),X1))),X1),
inference(forward_demodulation,[status(thm)],[f1023,f1035]) ).
fof(f1037,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,composition(one,meet(X0,X1)))) = meet(composition(one,meet(X0,composition(converse(one),X1))),X1),
inference(forward_demodulation,[status(thm)],[f53,f1036]) ).
fof(f1038,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,meet(X0,X1))) = meet(composition(one,meet(X0,composition(converse(one),X1))),X1),
inference(forward_demodulation,[status(thm)],[f1023,f1037]) ).
fof(f1039,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,meet(X0,X1))) = meet(X1,composition(one,meet(X0,composition(converse(one),X1)))),
inference(forward_demodulation,[status(thm)],[f53,f1038]) ).
fof(f1040,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,meet(X0,X1))) = meet(X1,meet(X0,composition(converse(one),X1))),
inference(forward_demodulation,[status(thm)],[f1023,f1039]) ).
fof(f1041,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,meet(X0,X1))) = meet(X1,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f151,f1040]) ).
fof(f1150,plain,
! [X0] : zero = meet(complement(X0),meet(complement(complement(X0)),X0)),
inference(paramodulation,[status(thm)],[f1027,f436]) ).
fof(f1151,plain,
! [X0] : zero = complement(join(X0,join(complement(X0),complement(X0)))),
inference(forward_demodulation,[status(thm)],[f531,f1150]) ).
fof(f1152,plain,
! [X0] : zero = meet(complement(join(X0,complement(X0))),X0),
inference(forward_demodulation,[status(thm)],[f523,f1151]) ).
fof(f1153,plain,
! [X0] : zero = meet(X0,complement(join(X0,complement(X0)))),
inference(forward_demodulation,[status(thm)],[f53,f1152]) ).
fof(f1154,plain,
! [X0] : zero = complement(join(top,complement(X0))),
inference(forward_demodulation,[status(thm)],[f390,f1153]) ).
fof(f1155,plain,
! [X0] : zero = meet(complement(top),X0),
inference(forward_demodulation,[status(thm)],[f291,f1154]) ).
fof(f1156,plain,
! [X0] : zero = meet(zero,X0),
inference(forward_demodulation,[status(thm)],[f60,f1155]) ).
fof(f1164,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(paramodulation,[status(thm)],[f1027,f311]) ).
fof(f1165,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[status(thm)],[f29,f1164]) ).
fof(f1166,plain,
! [X0] : meet(X0,complement(complement(X0))) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f1027,f290]) ).
fof(f1167,plain,
! [X0] : meet(X0,X0) = complement(complement(X0)),
inference(forward_demodulation,[status(thm)],[f268,f1166]) ).
fof(f1168,plain,
! [X0] : meet(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f268,f1167]) ).
fof(f1180,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f1027,f19]) ).
fof(f1186,plain,
! [X0] : X0 = join(meet(top,X0),zero),
inference(backward_demodulation,[status(thm)],[f1156,f566]) ).
fof(f1187,plain,
! [X0] : X0 = join(zero,meet(top,X0)),
inference(forward_demodulation,[status(thm)],[f18,f1186]) ).
fof(f1190,plain,
! [X0] : zero = meet(meet(X0,zero),top),
inference(backward_demodulation,[status(thm)],[f1165,f744]) ).
fof(f1191,plain,
! [X0] : zero = meet(top,meet(X0,zero)),
inference(forward_demodulation,[status(thm)],[f53,f1190]) ).
fof(f1194,plain,
! [X0] : X0 = join(zero,X0),
inference(backward_demodulation,[status(thm)],[f1168,f204]) ).
fof(f1208,plain,
! [X0] : X0 = meet(top,X0),
inference(backward_demodulation,[status(thm)],[f1194,f1187]) ).
fof(f1216,plain,
! [X0] : zero = meet(X0,zero),
inference(backward_demodulation,[status(thm)],[f1208,f1191]) ).
fof(f1220,plain,
! [X0] : X0 = join(meet(X0,zero),X0),
inference(backward_demodulation,[status(thm)],[f1208,f605]) ).
fof(f1221,plain,
! [X0] : X0 = join(X0,meet(X0,zero)),
inference(forward_demodulation,[status(thm)],[f18,f1220]) ).
fof(f1222,plain,
! [X0] : X0 = join(X0,zero),
inference(forward_demodulation,[status(thm)],[f1216,f1221]) ).
fof(f1356,plain,
! [X0,X1,X2] : meet(X0,complement(join(X1,X2))) = complement(join(X2,join(complement(X0),X1))),
inference(paramodulation,[status(thm)],[f41,f290]) ).
fof(f1599,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(zero)),
inference(paramodulation,[status(thm)],[f1222,f116]) ).
fof(f1600,plain,
! [X0] : X0 = join(X0,converse(zero)),
inference(forward_demodulation,[status(thm)],[f25,f1599]) ).
fof(f1767,plain,
! [X0,X1,X2] : meet(X0,complement(join(X1,X2))) = complement(join(X1,join(complement(X0),X2))),
inference(paramodulation,[status(thm)],[f47,f290]) ).
fof(f1768,plain,
! [X0,X1,X2] : meet(X0,complement(join(X1,X2))) = meet(X0,complement(join(X2,X1))),
inference(forward_demodulation,[status(thm)],[f1356,f1767]) ).
fof(f2119,plain,
! [X0,X1] : join(meet(X0,X1),X1) = join(meet(X0,X1),meet(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f255,f1180]) ).
fof(f2120,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = join(meet(X1,X0),meet(complement(X1),X0)),
inference(forward_demodulation,[status(thm)],[f18,f2119]) ).
fof(f2121,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f255,f2120]) ).
fof(f2122,plain,
! [X0,X1] : join(meet(X0,X1),X0) = join(meet(X0,X1),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f239,f1180]) ).
fof(f2123,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = join(meet(X0,X1),meet(complement(X1),X0)),
inference(forward_demodulation,[status(thm)],[f18,f2122]) ).
fof(f2124,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f239,f2123]) ).
fof(f2191,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f2121,f1041]) ).
fof(f2215,plain,
! [X0,X1] : meet(X0,complement(meet(X1,complement(X0)))) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f2121,f290]) ).
fof(f2216,plain,
! [X0,X1] : meet(X0,join(complement(X1),X0)) = complement(complement(X0)),
inference(forward_demodulation,[status(thm)],[f338,f2215]) ).
fof(f2217,plain,
! [X0,X1] : meet(X0,join(complement(X1),X0)) = X0,
inference(forward_demodulation,[status(thm)],[f268,f2216]) ).
fof(f2246,plain,
! [X0,X1] : converse(converse(X0)) = join(X0,converse(meet(converse(X0),X1))),
inference(paramodulation,[status(thm)],[f2124,f116]) ).
fof(f2247,plain,
! [X0,X1] : X0 = join(X0,converse(meet(converse(X0),X1))),
inference(forward_demodulation,[status(thm)],[f25,f2246]) ).
fof(f2284,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f53,f2191]) ).
fof(f2362,plain,
! [X0,X1] : meet(X0,meet(X0,X1)) = meet(meet(X0,X1),meet(X1,X0)),
inference(paramodulation,[status(thm)],[f2284,f2191]) ).
fof(f2363,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X1,X0),meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f2284,f2362]) ).
fof(f2365,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,X0)) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f2284,f2121]) ).
fof(f2508,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f268,f2217]) ).
fof(f2572,plain,
! [X0,X1] : meet(converse(X0),converse(join(X1,X0))) = converse(X0),
inference(paramodulation,[status(thm)],[f26,f2508]) ).
fof(f2593,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(paramodulation,[status(thm)],[f18,f2508]) ).
fof(f3220,plain,
! [X0,X1] : meet(converse(meet(X0,X1)),converse(meet(X1,X0))) = converse(meet(X0,X1)),
inference(paramodulation,[status(thm)],[f2365,f2572]) ).
fof(f3233,plain,
! [X0,X1] : meet(converse(meet(X0,X1)),converse(X0)) = converse(meet(X0,X1)),
inference(paramodulation,[status(thm)],[f2124,f2572]) ).
fof(f3234,plain,
! [X0,X1] : meet(converse(X0),converse(meet(X0,X1))) = converse(meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f53,f3233]) ).
fof(f3235,plain,
! [X0,X1] : meet(converse(meet(X0,X1)),converse(X1)) = converse(meet(X0,X1)),
inference(paramodulation,[status(thm)],[f2121,f2572]) ).
fof(f3236,plain,
! [X0,X1] : meet(converse(X0),converse(meet(X1,X0))) = converse(meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f53,f3235]) ).
fof(f5070,plain,
! [X0,X1] : meet(converse(meet(X0,X1)),converse(meet(X1,X0))) = converse(meet(meet(X0,X1),meet(X1,X0))),
inference(paramodulation,[status(thm)],[f2363,f3234]) ).
fof(f5071,plain,
! [X0,X1] : converse(meet(X0,X1)) = converse(meet(meet(X0,X1),meet(X1,X0))),
inference(forward_demodulation,[status(thm)],[f3220,f5070]) ).
fof(f5072,plain,
! [X0,X1] : converse(meet(X0,X1)) = converse(meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f2363,f5071]) ).
fof(f5297,plain,
zero = converse(zero),
inference(paramodulation,[status(thm)],[f1194,f1600]) ).
fof(f10872,plain,
! [X0,X1] : complement(meet(X0,X1)) = complement(meet(X1,join(meet(X0,X1),complement(meet(complement(X0),X1))))),
inference(paramodulation,[status(thm)],[f255,f296]) ).
fof(f10873,plain,
! [X0,X1] : complement(meet(X0,X1)) = complement(meet(X1,join(meet(X0,X1),join(complement(X1),X0)))),
inference(forward_demodulation,[status(thm)],[f348,f10872]) ).
fof(f10874,plain,
! [X0,X1] : complement(meet(X0,X1)) = complement(meet(X1,join(complement(X1),join(meet(X0,X1),X0)))),
inference(forward_demodulation,[status(thm)],[f47,f10873]) ).
fof(f10875,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X1),meet(X1,complement(join(meet(X0,X1),X0)))),
inference(forward_demodulation,[status(thm)],[f350,f10874]) ).
fof(f10876,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X1),meet(X1,complement(join(X0,meet(X0,X1))))),
inference(forward_demodulation,[status(thm)],[f1768,f10875]) ).
fof(f10877,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X1),meet(X1,complement(X0))),
inference(forward_demodulation,[status(thm)],[f2124,f10876]) ).
fof(f11428,plain,
! [X0,X1] : meet(X0,complement(meet(X0,complement(X1)))) = complement(complement(meet(X1,X0))),
inference(paramodulation,[status(thm)],[f10877,f290]) ).
fof(f11429,plain,
! [X0,X1] : meet(X0,join(complement(X0),X1)) = complement(complement(meet(X1,X0))),
inference(forward_demodulation,[status(thm)],[f338,f11428]) ).
fof(f11430,plain,
! [X0,X1] : meet(X0,join(complement(X0),X1)) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f268,f11429]) ).
fof(f11528,plain,
! [X0,X1] : meet(X0,complement(X0)) = meet(converse(meet(converse(complement(X0)),X1)),X0),
inference(paramodulation,[status(thm)],[f2247,f11430]) ).
fof(f11529,plain,
! [X0,X1] : zero = meet(converse(meet(converse(complement(X0)),X1)),X0),
inference(forward_demodulation,[status(thm)],[f30,f11528]) ).
fof(f11530,plain,
! [X0,X1] : zero = meet(X0,converse(meet(converse(complement(X0)),X1))),
inference(forward_demodulation,[status(thm)],[f53,f11529]) ).
fof(f11626,plain,
! [X0,X1] : join(complement(complement(X0)),X1) = join(meet(X0,join(complement(complement(X0)),X1)),meet(X1,complement(X0))),
inference(paramodulation,[status(thm)],[f11430,f255]) ).
fof(f11627,plain,
! [X0,X1] : join(X0,X1) = join(meet(X0,join(complement(complement(X0)),X1)),meet(X1,complement(X0))),
inference(forward_demodulation,[status(thm)],[f268,f11626]) ).
fof(f11628,plain,
! [X0,X1] : join(X0,X1) = join(meet(X1,complement(X0)),meet(X0,join(complement(complement(X0)),X1))),
inference(forward_demodulation,[status(thm)],[f18,f11627]) ).
fof(f11629,plain,
! [X0,X1] : join(X0,X1) = join(meet(X1,complement(X0)),meet(X0,join(X0,X1))),
inference(forward_demodulation,[status(thm)],[f268,f11628]) ).
fof(f11630,plain,
! [X0,X1] : join(X0,X1) = join(meet(X1,complement(X0)),X0),
inference(forward_demodulation,[status(thm)],[f2593,f11629]) ).
fof(f11631,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(X1,complement(X0))),
inference(forward_demodulation,[status(thm)],[f18,f11630]) ).
fof(f12404,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f53,f11631]) ).
fof(f13642,plain,
! [X0] : zero = converse(meet(converse(complement(converse(X0))),X0)),
inference(paramodulation,[status(thm)],[f3236,f11530]) ).
fof(f13643,plain,
! [X0] : zero = converse(meet(X0,converse(complement(converse(X0))))),
inference(forward_demodulation,[status(thm)],[f5072,f13642]) ).
fof(f13954,plain,
! [X0] : converse(zero) = meet(X0,converse(complement(converse(X0)))),
inference(paramodulation,[status(thm)],[f13643,f25]) ).
fof(f13955,plain,
! [X0] : zero = meet(X0,converse(complement(converse(X0)))),
inference(forward_demodulation,[status(thm)],[f5297,f13954]) ).
fof(f13995,plain,
! [X0] : zero = meet(converse(X0),converse(complement(X0))),
inference(paramodulation,[status(thm)],[f25,f13955]) ).
fof(f14008,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = join(X0,zero),
inference(paramodulation,[status(thm)],[f13955,f12404]) ).
fof(f14009,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[status(thm)],[f1222,f14008]) ).
fof(f14129,plain,
! [X0] : converse(X0) = join(zero,meet(complement(converse(complement(X0))),converse(X0))),
inference(paramodulation,[status(thm)],[f13995,f239]) ).
fof(f14130,plain,
! [X0] : converse(X0) = meet(complement(converse(complement(X0))),converse(X0)),
inference(forward_demodulation,[status(thm)],[f1194,f14129]) ).
fof(f14131,plain,
! [X0] : converse(X0) = meet(converse(X0),complement(converse(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f53,f14130]) ).
fof(f14667,plain,
! [X0] : meet(converse(converse(complement(converse(complement(X0))))),converse(X0)) = converse(converse(complement(converse(complement(X0))))),
inference(paramodulation,[status(thm)],[f14009,f2572]) ).
fof(f14668,plain,
! [X0] : meet(converse(X0),converse(converse(complement(converse(complement(X0)))))) = converse(converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f53,f14667]) ).
fof(f14669,plain,
! [X0] : meet(converse(X0),complement(converse(complement(X0)))) = converse(converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f25,f14668]) ).
fof(f14670,plain,
! [X0] : converse(X0) = converse(converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f14131,f14669]) ).
fof(f14671,plain,
! [X0] : converse(X0) = complement(converse(complement(X0))),
inference(forward_demodulation,[status(thm)],[f25,f14670]) ).
fof(f14742,plain,
! [X0,X1] : converse(meet(complement(X0),X1)) = complement(converse(join(complement(X1),X0))),
inference(paramodulation,[status(thm)],[f348,f14671]) ).
fof(f14747,plain,
! [X0] : converse(complement(X0)) = complement(converse(X0)),
inference(paramodulation,[status(thm)],[f268,f14671]) ).
fof(f15129,plain,
! [X0,X1] : converse(join(complement(converse(X0)),X1)) = join(complement(X0),converse(X1)),
inference(paramodulation,[status(thm)],[f14747,f116]) ).
fof(f21242,plain,
! [X0,X1,X2] : join(complement(join(complement(X0),converse(X1))),composition(X2,complement(converse(composition(join(complement(converse(X0)),X1),X2))))) = complement(converse(join(complement(converse(X0)),X1))),
inference(paramodulation,[status(thm)],[f15129,f228]) ).
fof(f21243,plain,
! [X0,X1,X2] : join(meet(X0,complement(converse(X1))),composition(X2,complement(converse(composition(join(complement(converse(X0)),X1),X2))))) = complement(converse(join(complement(converse(X0)),X1))),
inference(forward_demodulation,[status(thm)],[f290,f21242]) ).
fof(f21244,plain,
! [X0,X1,X2] : join(meet(X0,complement(converse(X1))),composition(X2,complement(converse(composition(join(complement(converse(X0)),X1),X2))))) = converse(meet(complement(X1),converse(X0))),
inference(forward_demodulation,[status(thm)],[f14742,f21243]) ).
fof(f21306,plain,
! [X0,X1,X2] : converse(composition(join(complement(converse(X0)),X1),X2)) = composition(converse(X2),join(complement(X0),converse(X1))),
inference(paramodulation,[status(thm)],[f15129,f27]) ).
fof(f21316,plain,
! [X0,X1,X2] : join(meet(X0,complement(converse(X1))),composition(X2,complement(composition(converse(X2),join(complement(X0),converse(X1)))))) = converse(meet(complement(X1),converse(X0))),
inference(backward_demodulation,[status(thm)],[f21306,f21244]) ).
fof(f21317,plain,
! [X0,X1] : meet(X0,complement(converse(X1))) = converse(meet(complement(X1),converse(X0))),
inference(forward_demodulation,[status(thm)],[f992,f21316]) ).
fof(f24585,plain,
! [X0,X1] : meet(X0,complement(converse(complement(X1)))) = converse(meet(X1,converse(X0))),
inference(paramodulation,[status(thm)],[f268,f21317]) ).
fof(f24586,plain,
! [X0,X1] : meet(X0,complement(complement(converse(X1)))) = converse(meet(X1,converse(X0))),
inference(forward_demodulation,[status(thm)],[f14747,f24585]) ).
fof(f24587,plain,
! [X0,X1] : meet(X0,converse(X1)) = converse(meet(X1,converse(X0))),
inference(forward_demodulation,[status(thm)],[f268,f24586]) ).
fof(f24858,plain,
! [X0,X1] : meet(converse(X0),converse(X1)) = converse(meet(X1,X0)),
inference(paramodulation,[status(thm)],[f25,f24587]) ).
fof(f25017,plain,
converse(meet(sk1,sk2)) != converse(meet(sk2,sk1)),
inference(backward_demodulation,[status(thm)],[f24858,f34]) ).
fof(f25018,plain,
converse(meet(sk1,sk2)) != converse(meet(sk1,sk2)),
inference(forward_demodulation,[status(thm)],[f5072,f25017]) ).
fof(f25019,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f25018]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : REL005-3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35 % Computer : n020.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 : Mon Apr 29 21:00:02 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % Drodi V3.6.0
% 9.27/1.63 % Refutation found
% 9.27/1.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.27/1.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 10.37/1.69 % Elapsed time: 1.324378 seconds
% 10.37/1.69 % CPU time: 10.300638 seconds
% 10.37/1.69 % Total memory used: 258.548 MB
% 10.37/1.69 % Net memory used: 255.498 MB
%------------------------------------------------------------------------------