TSTP Solution File: REL012+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : REL012+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 12:32:18 EDT 2023
% Result : Theorem 5.68s 1.12s
% Output : CNFRefutation 5.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 56
% Number of leaves : 12
% Syntax : Number of formulae : 173 ( 173 unt; 0 def)
% Number of atoms : 173 ( 172 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 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 : 264 (; 262 !; 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] : join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)) = complement(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
~ ! [X0,X1] : join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)) = complement(X0),
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] : join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)) != complement(X0),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f30,plain,
join(composition(complement(composition(sk0_0,sk0_1)),converse(sk0_1)),complement(sk0_0)) != complement(sk0_0),
inference(skolemization,[status(esa)],[f29]) ).
fof(f31,plain,
join(composition(complement(composition(sk0_0,sk0_1)),converse(sk0_1)),complement(sk0_0)) != complement(sk0_0),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f32,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f16,f18]) ).
fof(f33,plain,
! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f16,f26]) ).
fof(f34,plain,
join(complement(sk0_0),composition(complement(composition(sk0_0,sk0_1)),converse(sk0_1))) != complement(sk0_0),
inference(forward_demodulation,[status(thm)],[f16,f31]) ).
fof(f35,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f19,f32]) ).
fof(f36,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f16,f35]) ).
fof(f41,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f23,f25]) ).
fof(f43,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(paramodulation,[status(thm)],[f16,f17]) ).
fof(f48,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(paramodulation,[status(thm)],[f16,f17]) ).
fof(f49,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(forward_demodulation,[status(thm)],[f17,f48]) ).
fof(f71,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f23,f24]) ).
fof(f198,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(X1,complement(X0)))),
inference(paramodulation,[status(thm)],[f16,f36]) ).
fof(f426,plain,
! [X0,X1] : join(complement(X0),composition(X1,complement(composition(converse(X1),X0)))) = complement(X0),
inference(paramodulation,[status(thm)],[f23,f33]) ).
fof(f444,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f21,f41]) ).
fof(f445,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f23,f444]) ).
fof(f453,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(paramodulation,[status(thm)],[f17,f27]) ).
fof(f454,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(paramodulation,[status(thm)],[f27,f71]) ).
fof(f456,plain,
! [X0] : X0 = join(meet(X0,complement(complement(X0))),complement(top)),
inference(paramodulation,[status(thm)],[f27,f36]) ).
fof(f457,plain,
! [X0] : X0 = join(complement(top),meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f16,f456]) ).
fof(f460,plain,
! [X0,X1] : join(X0,join(X1,complement(X0))) = join(X1,top),
inference(paramodulation,[status(thm)],[f27,f49]) ).
fof(f468,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f21,f445]) ).
fof(f476,plain,
! [X0] : join(complement(X0),composition(converse(converse(one)),complement(X0))) = complement(X0),
inference(paramodulation,[status(thm)],[f445,f33]) ).
fof(f477,plain,
! [X0] : join(complement(X0),composition(one,complement(X0))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f23,f476]) ).
fof(f484,plain,
! [X0] : X0 = composition(one,X0),
inference(backward_demodulation,[status(thm)],[f468,f445]) ).
fof(f485,plain,
! [X0] : join(complement(X0),complement(X0)) = complement(X0),
inference(backward_demodulation,[status(thm)],[f484,f477]) ).
fof(f522,plain,
! [X0] : X0 = join(meet(X0,complement(X0)),complement(complement(X0))),
inference(paramodulation,[status(thm)],[f485,f36]) ).
fof(f523,plain,
! [X0] : X0 = join(complement(complement(X0)),meet(X0,complement(X0))),
inference(forward_demodulation,[status(thm)],[f16,f522]) ).
fof(f524,plain,
! [X0] : X0 = join(complement(complement(X0)),zero),
inference(forward_demodulation,[status(thm)],[f28,f523]) ).
fof(f525,plain,
! [X0] : X0 = join(zero,complement(complement(X0))),
inference(forward_demodulation,[status(thm)],[f16,f524]) ).
fof(f545,plain,
! [X0] : meet(X0,X0) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f485,f19]) ).
fof(f546,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(paramodulation,[status(thm)],[f27,f19]) ).
fof(f547,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f28,f546]) ).
fof(f548,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f16,f19]) ).
fof(f549,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f19,f548]) ).
fof(f553,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(f554,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f19,f36]) ).
fof(f555,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f16,f554]) ).
fof(f556,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X1,X0)),
inference(paramodulation,[status(thm)],[f19,f198]) ).
fof(f557,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f16,f556]) ).
fof(f559,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),meet(X0,X1)) = complement(join(complement(X0),complement(X1))),
inference(paramodulation,[status(thm)],[f19,f485]) ).
fof(f560,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),complement(X1)))) = complement(join(complement(X0),complement(X1))),
inference(forward_demodulation,[status(thm)],[f16,f559]) ).
fof(f561,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = complement(join(complement(X0),complement(X1))),
inference(forward_demodulation,[status(thm)],[f19,f560]) ).
fof(f562,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f19,f561]) ).
fof(f584,plain,
! [X0] : X0 = join(zero,meet(X0,complement(complement(X0)))),
inference(backward_demodulation,[status(thm)],[f547,f457]) ).
fof(f585,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(paramodulation,[status(thm)],[f547,f19]) ).
fof(f586,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[status(thm)],[f16,f585]) ).
fof(f590,plain,
join(complement(top),zero) = complement(top),
inference(paramodulation,[status(thm)],[f547,f485]) ).
fof(f591,plain,
join(zero,complement(top)) = complement(top),
inference(forward_demodulation,[status(thm)],[f16,f590]) ).
fof(f592,plain,
join(zero,zero) = complement(top),
inference(forward_demodulation,[status(thm)],[f547,f591]) ).
fof(f593,plain,
join(zero,zero) = zero,
inference(forward_demodulation,[status(thm)],[f547,f592]) ).
fof(f609,plain,
! [X0] : join(zero,join(zero,X0)) = join(X0,zero),
inference(paramodulation,[status(thm)],[f593,f43]) ).
fof(f882,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,f584]) ).
fof(f883,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)],[f549,f882]) ).
fof(f884,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)],[f553,f883]) ).
fof(f885,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,f884]) ).
fof(f924,plain,
! [X0] : X0 = join(meet(X0,converse(complement(converse(complement(X0))))),complement(converse(top))),
inference(paramodulation,[status(thm)],[f454,f36]) ).
fof(f925,plain,
! [X0] : X0 = join(complement(converse(top)),meet(X0,converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f16,f924]) ).
fof(f1004,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f549,f555]) ).
fof(f1031,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f549,f557]) ).
fof(f1158,plain,
! [X0] : complement(complement(X0)) = join(meet(complement(complement(X0)),X0),zero),
inference(paramodulation,[status(thm)],[f28,f1004]) ).
fof(f1159,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(complement(complement(X0)),X0)),
inference(forward_demodulation,[status(thm)],[f16,f1158]) ).
fof(f1160,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f549,f1159]) ).
fof(f1161,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f584,f1160]) ).
fof(f1162,plain,
! [X0] : complement(X0) = join(meet(complement(X0),X0),complement(complement(complement(X0)))),
inference(paramodulation,[status(thm)],[f545,f1004]) ).
fof(f1163,plain,
! [X0] : complement(X0) = join(complement(complement(complement(X0))),meet(complement(X0),X0)),
inference(forward_demodulation,[status(thm)],[f16,f1162]) ).
fof(f1164,plain,
! [X0] : complement(X0) = join(complement(X0),meet(complement(X0),X0)),
inference(forward_demodulation,[status(thm)],[f1161,f1163]) ).
fof(f1165,plain,
! [X0] : complement(X0) = join(complement(X0),meet(X0,complement(X0))),
inference(forward_demodulation,[status(thm)],[f549,f1164]) ).
fof(f1166,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(forward_demodulation,[status(thm)],[f28,f1165]) ).
fof(f1167,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[status(thm)],[f16,f1166]) ).
fof(f1185,plain,
! [X0] : X0 = join(zero,X0),
inference(backward_demodulation,[status(thm)],[f1161,f525]) ).
fof(f1186,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),meet(X0,X1)))),
inference(backward_demodulation,[status(thm)],[f1161,f885]) ).
fof(f1187,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(join(meet(X0,X1),meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f1167,f1186]) ).
fof(f1188,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f562,f1187]) ).
fof(f1201,plain,
! [X0] : meet(X0,top) = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f1167,f586]) ).
fof(f1202,plain,
! [X0] : meet(X0,top) = X0,
inference(forward_demodulation,[status(thm)],[f1161,f1201]) ).
fof(f1205,plain,
! [X0] : join(zero,X0) = join(X0,zero),
inference(backward_demodulation,[status(thm)],[f1185,f609]) ).
fof(f1206,plain,
! [X0] : X0 = join(X0,zero),
inference(forward_demodulation,[status(thm)],[f1185,f1205]) ).
fof(f1259,plain,
! [X0] : meet(top,X0) = X0,
inference(paramodulation,[status(thm)],[f549,f1202]) ).
fof(f1877,plain,
! [X0] : join(X0,meet(top,X0)) = meet(top,X0),
inference(paramodulation,[status(thm)],[f1259,f562]) ).
fof(f1878,plain,
! [X0] : join(X0,X0) = meet(top,X0),
inference(forward_demodulation,[status(thm)],[f1259,f1877]) ).
fof(f1879,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f1259,f1878]) ).
fof(f1884,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,X0)) = meet(X1,X0),
inference(paramodulation,[status(thm)],[f549,f562]) ).
fof(f2102,plain,
! [X0,X1] : join(X0,complement(X1)) = complement(meet(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f1161,f1188]) ).
fof(f2107,plain,
! [X0,X1] : join(complement(X0),X1) = complement(meet(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f1161,f1188]) ).
fof(f2387,plain,
! [X0,X1] : join(X0,composition(X1,complement(composition(converse(X1),complement(X0))))) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f1161,f426]) ).
fof(f2388,plain,
! [X0,X1] : join(X0,composition(X1,complement(composition(converse(X1),complement(X0))))) = X0,
inference(forward_demodulation,[status(thm)],[f1161,f2387]) ).
fof(f2546,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(X2,meet(X1,X0))) = join(X2,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f1884,f49]) ).
fof(f2549,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = join(meet(X1,X2),join(X0,meet(X2,X1))),
inference(paramodulation,[status(thm)],[f1884,f43]) ).
fof(f2550,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = join(X0,meet(X2,X1)),
inference(forward_demodulation,[status(thm)],[f2546,f2549]) ).
fof(f2670,plain,
! [X0,X1] : complement(join(X0,complement(X1))) = meet(complement(X0),X1),
inference(paramodulation,[status(thm)],[f2102,f1161]) ).
fof(f2807,plain,
! [X0,X1] : complement(join(complement(X0),X1)) = meet(X0,complement(X1)),
inference(paramodulation,[status(thm)],[f2107,f1161]) ).
fof(f3047,plain,
! [X0,X1,X2,X3] : join(X0,join(X1,meet(X2,X3))) = join(join(X0,X1),meet(X3,X2)),
inference(paramodulation,[status(thm)],[f17,f2550]) ).
fof(f3048,plain,
! [X0,X1,X2,X3] : join(X0,join(X1,meet(X2,X3))) = join(X0,join(X1,meet(X3,X2))),
inference(forward_demodulation,[status(thm)],[f17,f3047]) ).
fof(f3051,plain,
! [X0,X1,X2] : join(meet(X0,X1),X2) = join(X2,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f16,f2550]) ).
fof(f3162,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(X0),complement(X1)),
inference(paramodulation,[status(thm)],[f1161,f2670]) ).
fof(f3303,plain,
! [X0,X1,X2,X3] : join(X0,join(meet(X1,X2),X3)) = join(join(X0,X3),meet(X2,X1)),
inference(paramodulation,[status(thm)],[f49,f3051]) ).
fof(f3304,plain,
! [X0,X1,X2,X3] : join(X0,join(meet(X1,X2),X3)) = join(X0,join(X3,meet(X2,X1))),
inference(forward_demodulation,[status(thm)],[f17,f3303]) ).
fof(f3334,plain,
! [X0,X1,X2] : join(meet(X0,X1),X2) = join(meet(X1,X0),X2),
inference(paramodulation,[status(thm)],[f16,f3051]) ).
fof(f4122,plain,
! [X0] : top = join(X0,join(X0,complement(X0))),
inference(paramodulation,[status(thm)],[f1879,f453]) ).
fof(f4123,plain,
! [X0] : top = join(X0,top),
inference(forward_demodulation,[status(thm)],[f460,f4122]) ).
fof(f4155,plain,
! [X0,X1,X2] : join(X0,join(join(X1,complement(join(X0,X1))),X2)) = join(X2,top),
inference(paramodulation,[status(thm)],[f453,f43]) ).
fof(f4156,plain,
! [X0,X1,X2] : join(X0,join(X1,join(complement(join(X0,X1)),X2))) = join(X2,top),
inference(forward_demodulation,[status(thm)],[f17,f4155]) ).
fof(f4157,plain,
! [X0,X1,X2] : join(X0,join(X1,join(complement(join(X0,X1)),X2))) = top,
inference(forward_demodulation,[status(thm)],[f4123,f4156]) ).
fof(f4162,plain,
! [X0,X1,X2] : join(X0,join(join(X1,complement(join(X0,X1))),X2)) = join(top,X2),
inference(paramodulation,[status(thm)],[f453,f17]) ).
fof(f4163,plain,
! [X0,X1,X2] : join(X0,join(X1,join(complement(join(X0,X1)),X2))) = join(top,X2),
inference(forward_demodulation,[status(thm)],[f17,f4162]) ).
fof(f4164,plain,
! [X0] : top = join(top,X0),
inference(forward_demodulation,[status(thm)],[f4157,f4163]) ).
fof(f4395,plain,
top = converse(top),
inference(paramodulation,[status(thm)],[f454,f4164]) ).
fof(f4491,plain,
! [X0] : X0 = join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))),
inference(backward_demodulation,[status(thm)],[f4395,f925]) ).
fof(f4492,plain,
! [X0] : X0 = join(zero,meet(X0,converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f547,f4491]) ).
fof(f4493,plain,
! [X0] : X0 = meet(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f1185,f4492]) ).
fof(f4578,plain,
! [X0] : join(X0,complement(converse(complement(converse(complement(complement(X0))))))) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f4493,f2102]) ).
fof(f4579,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = complement(complement(X0)),
inference(forward_demodulation,[status(thm)],[f1161,f4578]) ).
fof(f4580,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[status(thm)],[f1161,f4579]) ).
fof(f4581,plain,
! [X0] : converse(complement(converse(complement(complement(X0))))) = join(meet(X0,converse(complement(converse(complement(complement(X0)))))),complement(X0)),
inference(paramodulation,[status(thm)],[f4493,f1031]) ).
fof(f4582,plain,
! [X0] : converse(complement(converse(X0))) = join(meet(X0,converse(complement(converse(complement(complement(X0)))))),complement(X0)),
inference(forward_demodulation,[status(thm)],[f1161,f4581]) ).
fof(f4583,plain,
! [X0] : converse(complement(converse(X0))) = join(complement(X0),meet(converse(complement(converse(complement(complement(X0))))),X0)),
inference(forward_demodulation,[status(thm)],[f3051,f4582]) ).
fof(f4584,plain,
! [X0] : converse(complement(converse(X0))) = join(complement(X0),meet(X0,converse(complement(converse(complement(complement(X0))))))),
inference(forward_demodulation,[status(thm)],[f2550,f4583]) ).
fof(f4585,plain,
! [X0] : converse(complement(converse(X0))) = join(complement(X0),meet(X0,converse(complement(converse(X0))))),
inference(forward_demodulation,[status(thm)],[f1161,f4584]) ).
fof(f4662,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(paramodulation,[status(thm)],[f4580,f71]) ).
fof(f4663,plain,
! [X0] : X0 = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(forward_demodulation,[status(thm)],[f23,f4662]) ).
fof(f4664,plain,
! [X0] : X0 = join(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f23,f4663]) ).
fof(f4727,plain,
! [X0] : complement(complement(X0)) = meet(X0,complement(converse(complement(converse(complement(complement(X0))))))),
inference(paramodulation,[status(thm)],[f4664,f2807]) ).
fof(f4728,plain,
! [X0] : X0 = meet(X0,complement(converse(complement(converse(complement(complement(X0))))))),
inference(forward_demodulation,[status(thm)],[f1161,f4727]) ).
fof(f4729,plain,
! [X0] : X0 = meet(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[status(thm)],[f1161,f4728]) ).
fof(f4781,plain,
! [X0] : X0 = join(meet(converse(complement(converse(X0))),X0),X0),
inference(paramodulation,[status(thm)],[f4729,f557]) ).
fof(f4782,plain,
! [X0] : X0 = join(meet(X0,converse(complement(converse(X0)))),X0),
inference(forward_demodulation,[status(thm)],[f3334,f4781]) ).
fof(f4783,plain,
! [X0] : X0 = join(X0,meet(converse(complement(converse(X0))),X0)),
inference(forward_demodulation,[status(thm)],[f3051,f4782]) ).
fof(f4784,plain,
! [X0] : X0 = join(X0,meet(X0,converse(complement(converse(X0))))),
inference(forward_demodulation,[status(thm)],[f2550,f4783]) ).
fof(f4805,plain,
! [X0] : complement(converse(complement(converse(X0)))) = join(X0,meet(complement(X0),complement(converse(complement(converse(X0)))))),
inference(paramodulation,[status(thm)],[f4729,f1031]) ).
fof(f4806,plain,
! [X0] : complement(converse(complement(converse(X0)))) = join(X0,complement(join(X0,converse(complement(converse(X0)))))),
inference(forward_demodulation,[status(thm)],[f3162,f4805]) ).
fof(f4976,plain,
! [X0] : top = join(X0,join(meet(X0,converse(complement(converse(X0)))),complement(X0))),
inference(paramodulation,[status(thm)],[f4784,f453]) ).
fof(f4977,plain,
! [X0] : top = join(X0,join(complement(X0),meet(converse(complement(converse(X0))),X0))),
inference(forward_demodulation,[status(thm)],[f3304,f4976]) ).
fof(f4978,plain,
! [X0] : top = join(X0,join(complement(X0),meet(X0,converse(complement(converse(X0)))))),
inference(forward_demodulation,[status(thm)],[f3048,f4977]) ).
fof(f4979,plain,
! [X0] : top = join(X0,converse(complement(converse(X0)))),
inference(forward_demodulation,[status(thm)],[f4585,f4978]) ).
fof(f4987,plain,
! [X0] : complement(converse(complement(converse(X0)))) = join(X0,complement(top)),
inference(backward_demodulation,[status(thm)],[f4979,f4806]) ).
fof(f4988,plain,
! [X0] : complement(converse(complement(converse(X0)))) = join(X0,zero),
inference(forward_demodulation,[status(thm)],[f547,f4987]) ).
fof(f4989,plain,
! [X0] : complement(converse(complement(converse(X0)))) = X0,
inference(forward_demodulation,[status(thm)],[f1206,f4988]) ).
fof(f5288,plain,
! [X0] : complement(X0) = converse(complement(converse(X0))),
inference(paramodulation,[status(thm)],[f4989,f1161]) ).
fof(f5498,plain,
! [X0,X1] : converse(composition(complement(X0),X1)) = composition(converse(X1),complement(converse(X0))),
inference(paramodulation,[status(thm)],[f5288,f41]) ).
fof(f5500,plain,
! [X0,X1] : converse(composition(X0,complement(converse(X1)))) = composition(complement(X1),converse(X0)),
inference(paramodulation,[status(thm)],[f5288,f25]) ).
fof(f10241,plain,
! [X0,X1] : converse(converse(X0)) = join(X0,converse(composition(X1,complement(composition(converse(X1),complement(converse(X0))))))),
inference(paramodulation,[status(thm)],[f2388,f71]) ).
fof(f10242,plain,
! [X0,X1] : X0 = join(X0,converse(composition(X1,complement(composition(converse(X1),complement(converse(X0))))))),
inference(forward_demodulation,[status(thm)],[f23,f10241]) ).
fof(f10243,plain,
! [X0,X1] : X0 = join(X0,converse(composition(X1,complement(converse(composition(complement(X0),X1)))))),
inference(forward_demodulation,[status(thm)],[f5498,f10242]) ).
fof(f10244,plain,
! [X0,X1] : X0 = join(X0,composition(complement(composition(complement(X0),X1)),converse(X1))),
inference(forward_demodulation,[status(thm)],[f5500,f10243]) ).
fof(f14009,plain,
! [X0,X1] : complement(X0) = join(complement(X0),composition(complement(composition(X0,X1)),converse(X1))),
inference(paramodulation,[status(thm)],[f1161,f10244]) ).
fof(f14116,plain,
complement(sk0_0) != complement(sk0_0),
inference(backward_demodulation,[status(thm)],[f14009,f34]) ).
fof(f14117,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f14116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : REL012+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 09:50:32 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 5.68/1.12 % Refutation found
% 5.68/1.12 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.68/1.12 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.68/1.16 % Elapsed time: 0.802580 seconds
% 5.68/1.16 % CPU time: 6.226942 seconds
% 5.68/1.16 % Memory used: 105.171 MB
%------------------------------------------------------------------------------