TSTP Solution File: REL006-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : REL006-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 : Wed May 31 12:32:15 EDT 2023
% Result : Unsatisfiable 2.15s 0.70s
% Output : CNFRefutation 2.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 63
% Number of leaves : 13
% Syntax : Number of formulae : 180 ( 180 unt; 0 def)
% Number of atoms : 180 ( 179 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 213 (; 213 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : join(A,B) = join(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : join(A,join(B,C)) = join(join(A,B),C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : meet(A,B) = complement(join(complement(A),complement(B))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : composition(A,one) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] : converse(converse(A)) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] : converse(join(A,B)) = join(converse(A),converse(B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B] : converse(composition(A,B)) = composition(converse(B),converse(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A,B] : join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A] : top = join(A,complement(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A] : zero = meet(A,complement(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
meet(converse(sk1),sk2) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
meet(sk1,converse(sk2)) != zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f17,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f18,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f19,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f21,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f23,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f24,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f25,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f26,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f27,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f28,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f29,plain,
meet(converse(sk1),sk2) = zero,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f30,plain,
meet(sk1,converse(sk2)) != zero,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f31,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f16,f18]) ).
fof(f32,plain,
! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f16,f26]) ).
fof(f33,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f19,f31]) ).
fof(f34,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f16,f33]) ).
fof(f35,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f23,f24]) ).
fof(f36,plain,
! [X0,X1] : converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(paramodulation,[status(thm)],[f23,f24]) ).
fof(f37,plain,
! [X0,X1,X2] : meet(join(complement(X0),complement(X1)),X2) = complement(join(meet(X0,X1),complement(X2))),
inference(paramodulation,[status(thm)],[f19,f19]) ).
fof(f38,plain,
! [X0,X1,X2] : meet(X0,join(complement(X1),complement(X2))) = complement(join(complement(X0),meet(X1,X2))),
inference(paramodulation,[status(thm)],[f19,f19]) ).
fof(f39,plain,
! [X0,X1] : zero = meet(join(complement(X0),complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f19,f28]) ).
fof(f40,plain,
! [X0,X1] : zero = complement(join(meet(X0,X1),complement(meet(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f37,f39]) ).
fof(f41,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f27,f40]) ).
fof(f42,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(paramodulation,[status(thm)],[f41,f19]) ).
fof(f43,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[status(thm)],[f16,f42]) ).
fof(f48,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f23,f25]) ).
fof(f173,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f19,f34]) ).
fof(f174,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f16,f173]) ).
fof(f186,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f21,f48]) ).
fof(f187,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f23,f186]) ).
fof(f196,plain,
! [X0,X1] : top = join(join(complement(X0),complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f19,f27]) ).
fof(f197,plain,
! [X0,X1] : top = join(complement(X0),join(complement(X1),meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f17,f196]) ).
fof(f203,plain,
! [X0] : X0 = join(meet(X0,complement(complement(X0))),complement(top)),
inference(paramodulation,[status(thm)],[f27,f34]) ).
fof(f204,plain,
! [X0] : X0 = join(complement(top),meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f16,f203]) ).
fof(f205,plain,
! [X0] : X0 = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f41,f204]) ).
fof(f206,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(paramodulation,[status(thm)],[f27,f35]) ).
fof(f208,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f21,f187]) ).
fof(f216,plain,
! [X0] : join(complement(X0),composition(converse(converse(one)),complement(X0))) = complement(X0),
inference(paramodulation,[status(thm)],[f187,f32]) ).
fof(f217,plain,
! [X0] : join(complement(X0),composition(one,complement(X0))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f23,f216]) ).
fof(f218,plain,
! [X0] : X0 = composition(one,X0),
inference(backward_demodulation,[status(thm)],[f208,f187]) ).
fof(f219,plain,
! [X0] : join(complement(X0),complement(X0)) = complement(X0),
inference(backward_demodulation,[status(thm)],[f218,f217]) ).
fof(f249,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f16,f19]) ).
fof(f250,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f19,f249]) ).
fof(f251,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(X1,complement(X0)))),
inference(paramodulation,[status(thm)],[f16,f34]) ).
fof(f276,plain,
join(zero,complement(top)) = complement(top),
inference(paramodulation,[status(thm)],[f41,f219]) ).
fof(f277,plain,
join(zero,zero) = complement(top),
inference(forward_demodulation,[status(thm)],[f41,f276]) ).
fof(f278,plain,
join(zero,zero) = zero,
inference(forward_demodulation,[status(thm)],[f41,f277]) ).
fof(f285,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),complement(X1)))) = complement(join(complement(X0),complement(X1))),
inference(paramodulation,[status(thm)],[f19,f219]) ).
fof(f286,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = complement(join(complement(X0),complement(X1))),
inference(forward_demodulation,[status(thm)],[f19,f285]) ).
fof(f287,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f19,f286]) ).
fof(f305,plain,
! [X0] : X0 = join(meet(X0,complement(X0)),complement(complement(X0))),
inference(paramodulation,[status(thm)],[f219,f34]) ).
fof(f306,plain,
! [X0] : X0 = join(complement(complement(X0)),meet(X0,complement(X0))),
inference(forward_demodulation,[status(thm)],[f16,f305]) ).
fof(f307,plain,
! [X0] : X0 = join(complement(complement(X0)),zero),
inference(forward_demodulation,[status(thm)],[f28,f306]) ).
fof(f308,plain,
! [X0] : X0 = join(zero,complement(complement(X0))),
inference(forward_demodulation,[status(thm)],[f16,f307]) ).
fof(f335,plain,
! [X0] : meet(complement(X0),top) = complement(X0),
inference(paramodulation,[status(thm)],[f308,f43]) ).
fof(f336,plain,
! [X0] : meet(top,complement(X0)) = complement(X0),
inference(forward_demodulation,[status(thm)],[f250,f335]) ).
fof(f339,plain,
! [X0,X1] : join(X0,join(X1,complement(join(X0,X1)))) = top,
inference(paramodulation,[status(thm)],[f27,f17]) ).
fof(f340,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(paramodulation,[status(thm)],[f16,f17]) ).
fof(f346,plain,
! [X0] : join(zero,join(zero,X0)) = join(zero,X0),
inference(paramodulation,[status(thm)],[f278,f17]) ).
fof(f348,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(complement(join(complement(X0),X1)),X2)) = join(X0,X2),
inference(paramodulation,[status(thm)],[f34,f17]) ).
fof(f352,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(paramodulation,[status(thm)],[f27,f17]) ).
fof(f432,plain,
! [X0] : top = join(complement(X0),complement(join(complement(top),complement(X0)))),
inference(paramodulation,[status(thm)],[f336,f34]) ).
fof(f433,plain,
! [X0] : top = join(complement(X0),meet(top,X0)),
inference(forward_demodulation,[status(thm)],[f19,f432]) ).
fof(f452,plain,
! [X0] : top = join(complement(X0),meet(X0,top)),
inference(paramodulation,[status(thm)],[f250,f433]) ).
fof(f481,plain,
! [X0] : X0 = join(meet(X0,meet(X0,top)),complement(top)),
inference(paramodulation,[status(thm)],[f452,f34]) ).
fof(f482,plain,
! [X0] : X0 = join(complement(top),meet(X0,meet(X0,top))),
inference(forward_demodulation,[status(thm)],[f16,f481]) ).
fof(f483,plain,
! [X0] : X0 = join(zero,meet(X0,meet(X0,top))),
inference(forward_demodulation,[status(thm)],[f41,f482]) ).
fof(f509,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),
inference(paramodulation,[status(thm)],[f19,f205]) ).
fof(f510,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,meet(complement(meet(X0,X1)),join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f250,f509]) ).
fof(f511,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f38,f510]) ).
fof(f512,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),
inference(forward_demodulation,[status(thm)],[f16,f511]) ).
fof(f530,plain,
! [X0] : X0 = join(meet(X0,converse(complement(converse(complement(X0))))),complement(converse(top))),
inference(paramodulation,[status(thm)],[f206,f34]) ).
fof(f531,plain,
! [X0] : X0 = join(complement(converse(top)),meet(X0,converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f16,f530]) ).
fof(f623,plain,
! [X0] : join(zero,X0) = join(zero,meet(X0,meet(X0,top))),
inference(paramodulation,[status(thm)],[f483,f346]) ).
fof(f624,plain,
! [X0] : join(zero,X0) = X0,
inference(forward_demodulation,[status(thm)],[f483,f623]) ).
fof(f640,plain,
! [X0] : join(zero,join(X0,zero)) = join(zero,X0),
inference(paramodulation,[status(thm)],[f16,f346]) ).
fof(f641,plain,
! [X0] : join(X0,zero) = join(zero,X0),
inference(forward_demodulation,[status(thm)],[f624,f640]) ).
fof(f642,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[status(thm)],[f624,f641]) ).
fof(f653,plain,
! [X0] : X0 = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f624,f308]) ).
fof(f654,plain,
! [X0] : meet(X0,top) = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f624,f43]) ).
fof(f655,plain,
! [X0] : meet(X0,top) = X0,
inference(forward_demodulation,[status(thm)],[f653,f654]) ).
fof(f683,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))),
inference(backward_demodulation,[status(thm)],[f624,f512]) ).
fof(f684,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(join(meet(X0,X1),meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f653,f683]) ).
fof(f685,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f287,f684]) ).
fof(f807,plain,
! [X0] : meet(top,X0) = X0,
inference(paramodulation,[status(thm)],[f250,f655]) ).
fof(f815,plain,
! [X0] : X0 = join(X0,complement(join(complement(X0),top))),
inference(paramodulation,[status(thm)],[f655,f34]) ).
fof(f816,plain,
! [X0] : X0 = join(X0,complement(join(top,complement(X0)))),
inference(forward_demodulation,[status(thm)],[f16,f815]) ).
fof(f833,plain,
top = complement(zero),
inference(paramodulation,[status(thm)],[f41,f653]) ).
fof(f862,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(zero)),
inference(paramodulation,[status(thm)],[f642,f35]) ).
fof(f863,plain,
! [X0] : X0 = join(X0,converse(zero)),
inference(forward_demodulation,[status(thm)],[f23,f862]) ).
fof(f889,plain,
zero = converse(zero),
inference(paramodulation,[status(thm)],[f624,f863]) ).
fof(f1021,plain,
converse(sk1) = join(zero,meet(converse(sk1),complement(sk2))),
inference(paramodulation,[status(thm)],[f29,f174]) ).
fof(f1022,plain,
converse(sk1) = meet(converse(sk1),complement(sk2)),
inference(forward_demodulation,[status(thm)],[f624,f1021]) ).
fof(f1023,plain,
converse(sk1) = meet(complement(sk2),converse(sk1)),
inference(forward_demodulation,[status(thm)],[f250,f1022]) ).
fof(f1031,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f250,f174]) ).
fof(f1147,plain,
complement(sk2) = join(converse(sk1),complement(join(complement(complement(sk2)),converse(sk1)))),
inference(paramodulation,[status(thm)],[f1023,f34]) ).
fof(f1148,plain,
complement(sk2) = join(converse(sk1),complement(join(converse(sk1),complement(complement(sk2))))),
inference(forward_demodulation,[status(thm)],[f16,f1147]) ).
fof(f1149,plain,
complement(sk2) = join(converse(sk1),complement(join(converse(sk1),sk2))),
inference(forward_demodulation,[status(thm)],[f653,f1148]) ).
fof(f1150,plain,
complement(sk2) = join(converse(sk1),complement(join(sk2,converse(sk1)))),
inference(forward_demodulation,[status(thm)],[f16,f1149]) ).
fof(f1179,plain,
! [X0] : complement(X0) = join(complement(X0),complement(join(top,X0))),
inference(paramodulation,[status(thm)],[f653,f816]) ).
fof(f1180,plain,
! [X0] : complement(X0) = complement(meet(X0,join(top,X0))),
inference(forward_demodulation,[status(thm)],[f685,f1179]) ).
fof(f1324,plain,
! [X0] : meet(X0,join(top,X0)) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f1180,f653]) ).
fof(f1325,plain,
! [X0] : meet(X0,join(top,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f653,f1324]) ).
fof(f1366,plain,
! [X0] : meet(X0,join(X0,top)) = X0,
inference(paramodulation,[status(thm)],[f16,f1325]) ).
fof(f1398,plain,
! [X0] : top = join(complement(X0),join(complement(join(X0,top)),X0)),
inference(paramodulation,[status(thm)],[f1366,f197]) ).
fof(f1399,plain,
! [X0] : top = join(X0,join(complement(X0),complement(join(X0,top)))),
inference(forward_demodulation,[status(thm)],[f340,f1398]) ).
fof(f1400,plain,
! [X0] : top = join(top,complement(join(X0,top))),
inference(forward_demodulation,[status(thm)],[f352,f1399]) ).
fof(f1645,plain,
! [X0] : zero = join(meet(zero,X0),complement(join(X0,top))),
inference(paramodulation,[status(thm)],[f833,f251]) ).
fof(f1670,plain,
! [X0] : join(X0,meet(top,X0)) = meet(top,X0),
inference(paramodulation,[status(thm)],[f807,f287]) ).
fof(f1671,plain,
! [X0] : join(X0,X0) = meet(top,X0),
inference(forward_demodulation,[status(thm)],[f807,f1670]) ).
fof(f1672,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f807,f1671]) ).
fof(f1763,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f1672,f17]) ).
fof(f1769,plain,
! [X0] : join(X0,top) = top,
inference(paramodulation,[status(thm)],[f1400,f339]) ).
fof(f1857,plain,
! [X0] : zero = join(meet(zero,X0),complement(top)),
inference(backward_demodulation,[status(thm)],[f1769,f1645]) ).
fof(f1858,plain,
! [X0] : zero = join(complement(top),meet(zero,X0)),
inference(forward_demodulation,[status(thm)],[f16,f1857]) ).
fof(f1859,plain,
! [X0] : zero = join(zero,meet(zero,X0)),
inference(forward_demodulation,[status(thm)],[f41,f1858]) ).
fof(f1860,plain,
! [X0] : zero = meet(zero,X0),
inference(forward_demodulation,[status(thm)],[f624,f1859]) ).
fof(f1923,plain,
! [X0] : join(top,X0) = top,
inference(paramodulation,[status(thm)],[f16,f1769]) ).
fof(f2008,plain,
converse(top) = top,
inference(paramodulation,[status(thm)],[f206,f1923]) ).
fof(f2051,plain,
! [X0] : X0 = join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))),
inference(backward_demodulation,[status(thm)],[f2008,f531]) ).
fof(f2052,plain,
! [X0] : X0 = join(zero,meet(X0,converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f41,f2051]) ).
fof(f2053,plain,
! [X0] : X0 = meet(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f624,f2052]) ).
fof(f2134,plain,
! [X0,X1] : join(meet(X0,X1),X1) = join(meet(X0,X1),meet(X1,complement(X0))),
inference(paramodulation,[status(thm)],[f1031,f1763]) ).
fof(f2135,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = join(meet(X1,X0),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f16,f2134]) ).
fof(f2136,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f1031,f2135]) ).
fof(f2218,plain,
! [X0,X1] : converse(converse(X0)) = join(X0,converse(meet(X1,converse(X0)))),
inference(paramodulation,[status(thm)],[f2136,f35]) ).
fof(f2219,plain,
! [X0,X1] : X0 = join(X0,converse(meet(X1,converse(X0)))),
inference(forward_demodulation,[status(thm)],[f23,f2218]) ).
fof(f2470,plain,
! [X0,X1] : join(X0,top) = join(complement(X1),join(X0,X1)),
inference(paramodulation,[status(thm)],[f27,f340]) ).
fof(f2471,plain,
! [X0,X1] : top = join(complement(X0),join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f1769,f2470]) ).
fof(f2472,plain,
! [X0,X1] : top = join(X0,join(complement(X0),X1)),
inference(forward_demodulation,[status(thm)],[f340,f2471]) ).
fof(f2889,plain,
converse(complement(sk2)) = join(sk1,converse(complement(join(sk2,converse(sk1))))),
inference(paramodulation,[status(thm)],[f1150,f35]) ).
fof(f3028,plain,
! [X0,X1] : top = join(X0,join(X1,complement(X0))),
inference(paramodulation,[status(thm)],[f16,f2472]) ).
fof(f3056,plain,
! [X0,X1] : X0 = join(meet(X0,join(complement(complement(X0)),X1)),complement(top)),
inference(paramodulation,[status(thm)],[f2472,f34]) ).
fof(f3057,plain,
! [X0,X1] : X0 = join(complement(top),meet(X0,join(complement(complement(X0)),X1))),
inference(forward_demodulation,[status(thm)],[f16,f3056]) ).
fof(f3058,plain,
! [X0,X1] : X0 = join(zero,meet(X0,join(complement(complement(X0)),X1))),
inference(forward_demodulation,[status(thm)],[f41,f3057]) ).
fof(f3059,plain,
! [X0,X1] : X0 = meet(X0,join(complement(complement(X0)),X1)),
inference(forward_demodulation,[status(thm)],[f624,f3058]) ).
fof(f3060,plain,
! [X0,X1] : X0 = meet(X0,join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f653,f3059]) ).
fof(f3083,plain,
! [X0,X1] : top = join(X0,complement(meet(X0,X1))),
inference(paramodulation,[status(thm)],[f348,f3028]) ).
fof(f3136,plain,
! [X0,X1] : X0 = join(meet(X0,join(X1,complement(complement(X0)))),complement(top)),
inference(paramodulation,[status(thm)],[f3028,f34]) ).
fof(f3137,plain,
! [X0,X1] : X0 = join(complement(top),meet(X0,join(X1,complement(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f16,f3136]) ).
fof(f3138,plain,
! [X0,X1] : X0 = join(zero,meet(X0,join(X1,complement(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f41,f3137]) ).
fof(f3139,plain,
! [X0,X1] : X0 = meet(X0,join(X1,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f624,f3138]) ).
fof(f3140,plain,
! [X0,X1] : X0 = meet(X0,join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f653,f3139]) ).
fof(f3189,plain,
! [X0,X1] : top = join(X0,complement(meet(X1,X0))),
inference(paramodulation,[status(thm)],[f250,f3083]) ).
fof(f3385,plain,
sk1 = meet(sk1,converse(complement(sk2))),
inference(paramodulation,[status(thm)],[f2889,f3060]) ).
fof(f3554,plain,
top = join(converse(complement(sk2)),complement(sk1)),
inference(paramodulation,[status(thm)],[f3385,f3189]) ).
fof(f3555,plain,
top = join(complement(sk1),converse(complement(sk2))),
inference(forward_demodulation,[status(thm)],[f16,f3554]) ).
fof(f5663,plain,
converse(top) = join(converse(complement(sk1)),complement(sk2)),
inference(paramodulation,[status(thm)],[f3555,f36]) ).
fof(f5664,plain,
top = join(converse(complement(sk1)),complement(sk2)),
inference(forward_demodulation,[status(thm)],[f2008,f5663]) ).
fof(f5665,plain,
top = join(complement(sk2),converse(complement(sk1))),
inference(forward_demodulation,[status(thm)],[f16,f5664]) ).
fof(f5697,plain,
sk2 = join(meet(sk2,converse(complement(sk1))),complement(top)),
inference(paramodulation,[status(thm)],[f5665,f34]) ).
fof(f5698,plain,
sk2 = join(complement(top),meet(sk2,converse(complement(sk1)))),
inference(forward_demodulation,[status(thm)],[f16,f5697]) ).
fof(f5699,plain,
sk2 = join(zero,meet(sk2,converse(complement(sk1)))),
inference(forward_demodulation,[status(thm)],[f41,f5698]) ).
fof(f5700,plain,
sk2 = meet(sk2,converse(complement(sk1))),
inference(forward_demodulation,[status(thm)],[f624,f5699]) ).
fof(f5728,plain,
complement(sk1) = join(complement(sk1),converse(sk2)),
inference(paramodulation,[status(thm)],[f5700,f2219]) ).
fof(f5764,plain,
converse(sk2) = meet(converse(sk2),complement(sk1)),
inference(paramodulation,[status(thm)],[f5728,f3140]) ).
fof(f5765,plain,
converse(sk2) = meet(complement(sk1),converse(sk2)),
inference(forward_demodulation,[status(thm)],[f250,f5764]) ).
fof(f5789,plain,
top = join(complement(sk1),complement(converse(sk2))),
inference(paramodulation,[status(thm)],[f5765,f3083]) ).
fof(f5790,plain,
top = complement(meet(sk1,converse(sk2))),
inference(forward_demodulation,[status(thm)],[f685,f5789]) ).
fof(f5951,plain,
meet(sk1,converse(sk2)) = meet(meet(sk1,converse(sk2)),converse(complement(converse(top)))),
inference(paramodulation,[status(thm)],[f5790,f2053]) ).
fof(f5952,plain,
meet(sk1,converse(sk2)) = meet(meet(sk1,converse(sk2)),converse(complement(top))),
inference(forward_demodulation,[status(thm)],[f2008,f5951]) ).
fof(f5953,plain,
meet(sk1,converse(sk2)) = meet(converse(complement(top)),meet(sk1,converse(sk2))),
inference(forward_demodulation,[status(thm)],[f250,f5952]) ).
fof(f5954,plain,
meet(sk1,converse(sk2)) = meet(converse(zero),meet(sk1,converse(sk2))),
inference(forward_demodulation,[status(thm)],[f41,f5953]) ).
fof(f5955,plain,
meet(sk1,converse(sk2)) = meet(zero,meet(sk1,converse(sk2))),
inference(forward_demodulation,[status(thm)],[f889,f5954]) ).
fof(f5956,plain,
meet(sk1,converse(sk2)) = zero,
inference(forward_demodulation,[status(thm)],[f1860,f5955]) ).
fof(f5957,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f5956,f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : REL006-1 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n004.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue May 30 09:58:07 EDT 2023
% 0.17/0.32 % CPUTime :
% 0.17/0.33 % Drodi V3.5.1
% 2.15/0.70 % Refutation found
% 2.15/0.70 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.15/0.70 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.39/0.73 % Elapsed time: 0.402098 seconds
% 2.39/0.73 % CPU time: 2.443979 seconds
% 2.39/0.73 % Memory used: 38.584 MB
%------------------------------------------------------------------------------