TSTP Solution File: REL006+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n031.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 : Theorem 4.01s 0.89s
% Output : CNFRefutation 4.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 12
% Syntax : Number of formulae : 174 ( 170 unt; 0 def)
% Number of atoms : 178 ( 177 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 4 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 247 ( 245 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,conjecture,
! [X0,X1] :
( meet(converse(X0),X1) = zero
=> meet(X0,converse(X1)) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
~ ! [X0,X1] :
( meet(converse(X0),X1) = zero
=> meet(X0,converse(X1)) = zero ),
inference(negated_conjecture,[status(cth)],[f14]) ).
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,
? [X0,X1] :
( meet(converse(X0),X1) = zero
& meet(X0,converse(X1)) != zero ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f30,plain,
( meet(converse(sk0_0),sk0_1) = zero
& meet(sk0_0,converse(sk0_1)) != zero ),
inference(skolemization,[status(esa)],[f29]) ).
fof(f31,plain,
meet(converse(sk0_0),sk0_1) = zero,
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f32,plain,
meet(sk0_0,converse(sk0_1)) != zero,
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f33,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f16,f18]) ).
fof(f34,plain,
! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f16,f26]) ).
fof(f35,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f19,f33]) ).
fof(f36,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f16,f35]) ).
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,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f23,f24]) ).
fof(f43,plain,
! [X0,X1] : converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(paramodulation,[status(thm)],[f23,f24]) ).
fof(f44,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(paramodulation,[status(thm)],[f41,f19]) ).
fof(f45,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[status(thm)],[f16,f44]) ).
fof(f50,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f23,f25]) ).
fof(f175,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f19,f36]) ).
fof(f176,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f16,f175]) ).
fof(f188,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f21,f50]) ).
fof(f189,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f23,f188]) ).
fof(f206,plain,
! [X0] : X0 = join(meet(X0,complement(complement(X0))),complement(top)),
inference(paramodulation,[status(thm)],[f27,f36]) ).
fof(f207,plain,
! [X0] : X0 = join(complement(top),meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f16,f206]) ).
fof(f208,plain,
! [X0] : X0 = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f41,f207]) ).
fof(f210,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f21,f189]) ).
fof(f218,plain,
! [X0] : join(complement(X0),composition(converse(converse(one)),complement(X0))) = complement(X0),
inference(paramodulation,[status(thm)],[f189,f34]) ).
fof(f219,plain,
! [X0] : join(complement(X0),composition(one,complement(X0))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f23,f218]) ).
fof(f220,plain,
! [X0] : X0 = composition(one,X0),
inference(backward_demodulation,[status(thm)],[f210,f189]) ).
fof(f221,plain,
! [X0] : join(complement(X0),complement(X0)) = complement(X0),
inference(backward_demodulation,[status(thm)],[f220,f219]) ).
fof(f255,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f16,f19]) ).
fof(f256,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f19,f255]) ).
fof(f257,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(X1,complement(X0)))),
inference(paramodulation,[status(thm)],[f16,f36]) ).
fof(f269,plain,
zero = meet(sk0_1,converse(sk0_0)),
inference(paramodulation,[status(thm)],[f31,f256]) ).
fof(f275,plain,
sk0_1 = join(zero,complement(join(complement(sk0_1),converse(sk0_0)))),
inference(paramodulation,[status(thm)],[f269,f36]) ).
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,f221]) ).
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(f304,plain,
! [X0] : meet(X0,X0) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f221,f19]) ).
fof(f305,plain,
! [X0] : X0 = join(meet(X0,complement(X0)),complement(complement(X0))),
inference(paramodulation,[status(thm)],[f221,f36]) ).
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(f333,plain,
! [X0] : meet(complement(X0),top) = complement(X0),
inference(paramodulation,[status(thm)],[f308,f45]) ).
fof(f334,plain,
! [X0] : meet(top,complement(X0)) = complement(X0),
inference(forward_demodulation,[status(thm)],[f256,f333]) ).
fof(f348,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(paramodulation,[status(thm)],[f16,f17]) ).
fof(f356,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(complement(join(complement(X0),X1)),X2)) = join(X0,X2),
inference(paramodulation,[status(thm)],[f36,f17]) ).
fof(f402,plain,
meet(join(complement(sk0_1),converse(sk0_0)),top) = complement(sk0_1),
inference(paramodulation,[status(thm)],[f275,f45]) ).
fof(f403,plain,
meet(top,join(complement(sk0_1),converse(sk0_0))) = complement(sk0_1),
inference(forward_demodulation,[status(thm)],[f256,f402]) ).
fof(f507,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,f208]) ).
fof(f508,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)],[f256,f507]) ).
fof(f509,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,f508]) ).
fof(f510,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,f509]) ).
fof(f568,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f256,f176]) ).
fof(f570,plain,
! [X0] : X0 = join(meet(X0,top),meet(X0,zero)),
inference(paramodulation,[status(thm)],[f41,f176]) ).
fof(f589,plain,
! [X0] : X0 = join(meet(X0,top),meet(zero,X0)),
inference(paramodulation,[status(thm)],[f256,f570]) ).
fof(f598,plain,
complement(zero) = join(meet(complement(zero),top),zero),
inference(paramodulation,[status(thm)],[f28,f589]) ).
fof(f599,plain,
complement(zero) = join(zero,meet(complement(zero),top)),
inference(forward_demodulation,[status(thm)],[f16,f598]) ).
fof(f600,plain,
complement(zero) = join(zero,meet(top,complement(zero))),
inference(forward_demodulation,[status(thm)],[f256,f599]) ).
fof(f601,plain,
complement(zero) = join(zero,complement(zero)),
inference(forward_demodulation,[status(thm)],[f334,f600]) ).
fof(f602,plain,
complement(zero) = top,
inference(forward_demodulation,[status(thm)],[f27,f601]) ).
fof(f628,plain,
join(complement(zero),top) = complement(zero),
inference(paramodulation,[status(thm)],[f602,f221]) ).
fof(f629,plain,
join(top,complement(zero)) = complement(zero),
inference(forward_demodulation,[status(thm)],[f16,f628]) ).
fof(f630,plain,
join(top,top) = complement(zero),
inference(forward_demodulation,[status(thm)],[f602,f629]) ).
fof(f631,plain,
join(top,top) = top,
inference(forward_demodulation,[status(thm)],[f602,f630]) ).
fof(f804,plain,
! [X0] : join(top,join(top,X0)) = join(top,X0),
inference(paramodulation,[status(thm)],[f631,f17]) ).
fof(f1076,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f256,f568]) ).
fof(f1080,plain,
! [X0] : complement(complement(X0)) = join(meet(complement(complement(X0)),X0),zero),
inference(paramodulation,[status(thm)],[f28,f568]) ).
fof(f1081,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(complement(complement(X0)),X0)),
inference(forward_demodulation,[status(thm)],[f16,f1080]) ).
fof(f1082,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f256,f1081]) ).
fof(f1083,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f208,f1082]) ).
fof(f1084,plain,
! [X0] : complement(X0) = join(meet(complement(X0),X0),complement(complement(complement(X0)))),
inference(paramodulation,[status(thm)],[f304,f568]) ).
fof(f1085,plain,
! [X0] : complement(X0) = join(complement(complement(complement(X0))),meet(complement(X0),X0)),
inference(forward_demodulation,[status(thm)],[f16,f1084]) ).
fof(f1086,plain,
! [X0] : complement(X0) = join(complement(X0),meet(complement(X0),X0)),
inference(forward_demodulation,[status(thm)],[f1083,f1085]) ).
fof(f1087,plain,
! [X0] : complement(X0) = join(complement(X0),meet(X0,complement(X0))),
inference(forward_demodulation,[status(thm)],[f256,f1086]) ).
fof(f1088,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(forward_demodulation,[status(thm)],[f28,f1087]) ).
fof(f1089,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[status(thm)],[f16,f1088]) ).
fof(f1104,plain,
! [X0] : X0 = join(zero,X0),
inference(backward_demodulation,[status(thm)],[f1083,f308]) ).
fof(f1107,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),meet(X0,X1)))),
inference(backward_demodulation,[status(thm)],[f1083,f510]) ).
fof(f1108,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(join(meet(X0,X1),meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f1089,f1107]) ).
fof(f1109,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f287,f1108]) ).
fof(f1273,plain,
! [X0] : meet(top,X0) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f1083,f334]) ).
fof(f1274,plain,
! [X0] : meet(top,X0) = X0,
inference(forward_demodulation,[status(thm)],[f1083,f1273]) ).
fof(f1284,plain,
join(complement(sk0_1),converse(sk0_0)) = complement(sk0_1),
inference(backward_demodulation,[status(thm)],[f1274,f403]) ).
fof(f1526,plain,
converse(complement(sk0_1)) = join(converse(complement(sk0_1)),sk0_0),
inference(paramodulation,[status(thm)],[f1284,f43]) ).
fof(f1527,plain,
converse(complement(sk0_1)) = join(sk0_0,converse(complement(sk0_1))),
inference(forward_demodulation,[status(thm)],[f16,f1526]) ).
fof(f1753,plain,
! [X0] : join(top,join(X0,top)) = join(top,X0),
inference(paramodulation,[status(thm)],[f16,f804]) ).
fof(f2013,plain,
! [X0] : join(X0,meet(top,X0)) = meet(top,X0),
inference(paramodulation,[status(thm)],[f1274,f287]) ).
fof(f2014,plain,
! [X0] : join(X0,X0) = meet(top,X0),
inference(forward_demodulation,[status(thm)],[f1274,f2013]) ).
fof(f2015,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f1274,f2014]) ).
fof(f2090,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f2015,f17]) ).
fof(f2104,plain,
! [X0,X1] : join(meet(X0,X1),X1) = join(meet(X0,X1),meet(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f1076,f2090]) ).
fof(f2105,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = join(meet(X1,X0),meet(complement(X1),X0)),
inference(forward_demodulation,[status(thm)],[f16,f2104]) ).
fof(f2106,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f1076,f2105]) ).
fof(f2151,plain,
! [X0] : join(X0,top) = join(X0,complement(X0)),
inference(paramodulation,[status(thm)],[f27,f2090]) ).
fof(f2152,plain,
! [X0] : join(X0,top) = top,
inference(forward_demodulation,[status(thm)],[f27,f2151]) ).
fof(f2173,plain,
! [X0] : join(top,top) = join(top,X0),
inference(backward_demodulation,[status(thm)],[f2152,f1753]) ).
fof(f2174,plain,
! [X0] : top = join(top,X0),
inference(forward_demodulation,[status(thm)],[f2015,f2173]) ).
fof(f2294,plain,
! [X0] : converse(top) = join(X0,converse(top)),
inference(paramodulation,[status(thm)],[f2152,f42]) ).
fof(f2372,plain,
! [X0,X1] : converse(converse(X0)) = join(X0,converse(meet(X1,converse(X0)))),
inference(paramodulation,[status(thm)],[f2106,f42]) ).
fof(f2373,plain,
! [X0,X1] : X0 = join(X0,converse(meet(X1,converse(X0)))),
inference(forward_demodulation,[status(thm)],[f23,f2372]) ).
fof(f2406,plain,
converse(top) = top,
inference(paramodulation,[status(thm)],[f2174,f2294]) ).
fof(f2821,plain,
! [X0,X1] : join(X0,top) = join(complement(X1),join(X0,X1)),
inference(paramodulation,[status(thm)],[f27,f348]) ).
fof(f2822,plain,
! [X0,X1] : top = join(complement(X0),join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f2152,f2821]) ).
fof(f2823,plain,
! [X0,X1] : top = join(X0,join(complement(X0),X1)),
inference(forward_demodulation,[status(thm)],[f348,f2822]) ).
fof(f3296,plain,
! [X0,X1] : top = join(X0,complement(meet(X0,X1))),
inference(paramodulation,[status(thm)],[f1109,f2823]) ).
fof(f3334,plain,
! [X0,X1] : X0 = join(meet(X0,join(complement(complement(X0)),X1)),complement(top)),
inference(paramodulation,[status(thm)],[f2823,f36]) ).
fof(f3335,plain,
! [X0,X1] : X0 = join(complement(top),meet(X0,join(complement(complement(X0)),X1))),
inference(forward_demodulation,[status(thm)],[f16,f3334]) ).
fof(f3336,plain,
! [X0,X1] : X0 = join(zero,meet(X0,join(complement(complement(X0)),X1))),
inference(forward_demodulation,[status(thm)],[f41,f3335]) ).
fof(f3337,plain,
! [X0,X1] : X0 = meet(X0,join(complement(complement(X0)),X1)),
inference(forward_demodulation,[status(thm)],[f1104,f3336]) ).
fof(f3338,plain,
! [X0,X1] : X0 = meet(X0,join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1083,f3337]) ).
fof(f3364,plain,
sk0_0 = meet(sk0_0,converse(complement(sk0_1))),
inference(paramodulation,[status(thm)],[f1527,f3338]) ).
fof(f3374,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X1),
inference(paramodulation,[status(thm)],[f1076,f3338]) ).
fof(f3375,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f256,f3374]) ).
fof(f3409,plain,
! [X0,X1] : X0 = meet(X0,join(X1,X0)),
inference(paramodulation,[status(thm)],[f16,f3338]) ).
fof(f3607,plain,
! [X0,X1] : top = complement(meet(X0,meet(complement(X0),X1))),
inference(paramodulation,[status(thm)],[f1109,f3296]) ).
fof(f3621,plain,
! [X0,X1] : top = join(X0,complement(meet(X1,X0))),
inference(paramodulation,[status(thm)],[f3375,f3296]) ).
fof(f4454,plain,
top = join(converse(complement(sk0_1)),complement(sk0_0)),
inference(paramodulation,[status(thm)],[f3364,f3621]) ).
fof(f4455,plain,
top = join(complement(sk0_0),converse(complement(sk0_1))),
inference(forward_demodulation,[status(thm)],[f16,f4454]) ).
fof(f4522,plain,
! [X0,X1,X2,X3] : join(meet(meet(X0,meet(complement(X0),X1)),X2),join(complement(join(top,X2)),X3)) = join(meet(X0,meet(complement(X0),X1)),X3),
inference(paramodulation,[status(thm)],[f3607,f356]) ).
fof(f4523,plain,
! [X0,X1,X2,X3] : join(complement(join(top,X0)),join(X1,meet(meet(X2,meet(complement(X2),X3)),X0))) = join(meet(X2,meet(complement(X2),X3)),X1),
inference(forward_demodulation,[status(thm)],[f348,f4522]) ).
fof(f4524,plain,
! [X0,X1,X2,X3] : join(complement(top),join(X0,meet(meet(X1,meet(complement(X1),X2)),X3))) = join(meet(X1,meet(complement(X1),X2)),X0),
inference(forward_demodulation,[status(thm)],[f2174,f4523]) ).
fof(f4525,plain,
! [X0,X1,X2,X3] : join(zero,join(X0,meet(meet(X1,meet(complement(X1),X2)),X3))) = join(meet(X1,meet(complement(X1),X2)),X0),
inference(forward_demodulation,[status(thm)],[f41,f4524]) ).
fof(f4526,plain,
! [X0,X1,X2,X3] : join(X0,meet(meet(X1,meet(complement(X1),X2)),X3)) = join(meet(X1,meet(complement(X1),X2)),X0),
inference(forward_demodulation,[status(thm)],[f1104,f4525]) ).
fof(f4527,plain,
! [X0,X1,X2] : X0 = join(meet(meet(X1,meet(complement(X1),X2)),X0),meet(top,X0)),
inference(paramodulation,[status(thm)],[f3607,f1076]) ).
fof(f4528,plain,
! [X0,X1,X2] : X0 = join(meet(top,X0),meet(meet(X1,meet(complement(X1),X2)),X0)),
inference(forward_demodulation,[status(thm)],[f16,f4527]) ).
fof(f4529,plain,
! [X0,X1,X2] : X0 = join(meet(X1,meet(complement(X1),X2)),meet(top,X0)),
inference(forward_demodulation,[status(thm)],[f4526,f4528]) ).
fof(f4530,plain,
! [X0,X1,X2] : X0 = join(meet(X1,meet(complement(X1),X2)),X0),
inference(forward_demodulation,[status(thm)],[f1274,f4529]) ).
fof(f4531,plain,
! [X0,X1,X2] : meet(X0,meet(complement(X0),X1)) = join(meet(meet(X0,meet(complement(X0),X1)),X2),complement(join(X2,top))),
inference(paramodulation,[status(thm)],[f3607,f257]) ).
fof(f4532,plain,
! [X0,X1,X2] : meet(X0,meet(complement(X0),X1)) = join(complement(join(X2,top)),meet(meet(X0,meet(complement(X0),X1)),X2)),
inference(forward_demodulation,[status(thm)],[f16,f4531]) ).
fof(f4533,plain,
! [X0,X1,X2] : meet(X0,meet(complement(X0),X1)) = join(meet(X0,meet(complement(X0),X1)),complement(join(X2,top))),
inference(forward_demodulation,[status(thm)],[f4526,f4532]) ).
fof(f4534,plain,
! [X0,X1,X2] : meet(X0,meet(complement(X0),X1)) = complement(join(X2,top)),
inference(forward_demodulation,[status(thm)],[f4530,f4533]) ).
fof(f4535,plain,
! [X0,X1] : meet(X0,meet(complement(X0),X1)) = complement(top),
inference(forward_demodulation,[status(thm)],[f2152,f4534]) ).
fof(f4536,plain,
! [X0,X1] : meet(X0,meet(complement(X0),X1)) = zero,
inference(forward_demodulation,[status(thm)],[f41,f4535]) ).
fof(f4584,plain,
! [X0,X1] : meet(X0,meet(X1,complement(X0))) = zero,
inference(paramodulation,[status(thm)],[f3375,f4536]) ).
fof(f4661,plain,
! [X0,X1] : meet(complement(X0),meet(X1,X0)) = zero,
inference(paramodulation,[status(thm)],[f1083,f4584]) ).
fof(f4819,plain,
! [X0,X1] : meet(complement(join(X0,X1)),X1) = zero,
inference(paramodulation,[status(thm)],[f3409,f4661]) ).
fof(f4820,plain,
! [X0,X1] : meet(X0,complement(join(X1,X0))) = zero,
inference(forward_demodulation,[status(thm)],[f256,f4819]) ).
fof(f6163,plain,
converse(top) = join(converse(complement(sk0_0)),complement(sk0_1)),
inference(paramodulation,[status(thm)],[f4455,f43]) ).
fof(f6164,plain,
top = join(converse(complement(sk0_0)),complement(sk0_1)),
inference(forward_demodulation,[status(thm)],[f2406,f6163]) ).
fof(f6165,plain,
top = join(complement(sk0_1),converse(complement(sk0_0))),
inference(forward_demodulation,[status(thm)],[f16,f6164]) ).
fof(f6205,plain,
sk0_1 = join(meet(sk0_1,converse(complement(sk0_0))),complement(top)),
inference(paramodulation,[status(thm)],[f6165,f36]) ).
fof(f6206,plain,
sk0_1 = join(complement(top),meet(sk0_1,converse(complement(sk0_0)))),
inference(forward_demodulation,[status(thm)],[f16,f6205]) ).
fof(f6207,plain,
sk0_1 = join(zero,meet(sk0_1,converse(complement(sk0_0)))),
inference(forward_demodulation,[status(thm)],[f41,f6206]) ).
fof(f6208,plain,
sk0_1 = meet(sk0_1,converse(complement(sk0_0))),
inference(forward_demodulation,[status(thm)],[f1104,f6207]) ).
fof(f6244,plain,
complement(sk0_0) = join(complement(sk0_0),converse(sk0_1)),
inference(paramodulation,[status(thm)],[f6208,f2373]) ).
fof(f10371,plain,
meet(converse(sk0_1),complement(complement(sk0_0))) = zero,
inference(paramodulation,[status(thm)],[f6244,f4820]) ).
fof(f10372,plain,
meet(converse(sk0_1),sk0_0) = zero,
inference(forward_demodulation,[status(thm)],[f1083,f10371]) ).
fof(f10373,plain,
meet(sk0_0,converse(sk0_1)) = zero,
inference(forward_demodulation,[status(thm)],[f256,f10372]) ).
fof(f10374,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f10373,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : REL006+1 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n031.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 : Mon Apr 29 21:38:58 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % Drodi V3.6.0
% 4.01/0.89 % Refutation found
% 4.01/0.89 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.01/0.89 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.72/0.93 % Elapsed time: 0.621536 seconds
% 4.72/0.93 % CPU time: 4.800883 seconds
% 4.72/0.93 % Total memory used: 89.217 MB
% 4.72/0.93 % Net memory used: 86.524 MB
%------------------------------------------------------------------------------