TSTP Solution File: REL045+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : REL045+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 12:32:30 EDT 2023
% Result : Theorem 4.53s 0.99s
% Output : CNFRefutation 4.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 16
% Syntax : Number of formulae : 186 ( 186 unt; 0 def)
% Number of atoms : 186 ( 185 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 270 (; 269 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)) = meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,conjecture,
! [X0] : join(X0,composition(composition(X0,converse(X0)),X0)) = composition(composition(X0,converse(X0)),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
~ ! [X0] : join(X0,composition(composition(X0,converse(X0)),X0)) = composition(composition(X0,converse(X0)),X0),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f20,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f21,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f22,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f23,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f24,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f25,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f26,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f27,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f28,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f29,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f30,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f31,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),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f34,plain,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)) = meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f35,plain,
? [X0] : join(X0,composition(composition(X0,converse(X0)),X0)) != composition(composition(X0,converse(X0)),X0),
inference(pre_NNF_transformation,[status(esa)],[f18]) ).
fof(f36,plain,
join(sk0_0,composition(composition(sk0_0,converse(sk0_0)),sk0_0)) != composition(composition(sk0_0,converse(sk0_0)),sk0_0),
inference(skolemization,[status(esa)],[f35]) ).
fof(f37,plain,
join(sk0_0,composition(composition(sk0_0,converse(sk0_0)),sk0_0)) != composition(composition(sk0_0,converse(sk0_0)),sk0_0),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f38,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f19,f21]) ).
fof(f39,plain,
! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f19,f29]) ).
fof(f40,plain,
join(sk0_0,composition(sk0_0,composition(converse(sk0_0),sk0_0))) != composition(composition(sk0_0,converse(sk0_0)),sk0_0),
inference(forward_demodulation,[status(thm)],[f23,f37]) ).
fof(f41,plain,
join(sk0_0,composition(sk0_0,composition(converse(sk0_0),sk0_0))) != composition(sk0_0,composition(converse(sk0_0),sk0_0)),
inference(forward_demodulation,[status(thm)],[f23,f40]) ).
fof(f42,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f22,f38]) ).
fof(f43,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f19,f42]) ).
fof(f48,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f26,f28]) ).
fof(f50,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(paramodulation,[status(thm)],[f19,f20]) ).
fof(f55,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(paramodulation,[status(thm)],[f19,f20]) ).
fof(f56,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(forward_demodulation,[status(thm)],[f20,f55]) ).
fof(f78,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f26,f27]) ).
fof(f400,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X1,X2),composition(X0,X2)),
inference(paramodulation,[status(thm)],[f19,f25]) ).
fof(f401,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = composition(join(X1,X0),X2),
inference(forward_demodulation,[status(thm)],[f25,f400]) ).
fof(f405,plain,
! [X0,X1,X2,X3] : composition(join(composition(X0,X1),X2),X3) = join(composition(X0,composition(X1,X3)),composition(X2,X3)),
inference(paramodulation,[status(thm)],[f23,f25]) ).
fof(f452,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f24,f48]) ).
fof(f453,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f26,f452]) ).
fof(f460,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(paramodulation,[status(thm)],[f20,f30]) ).
fof(f461,plain,
! [X0] : X0 = join(meet(X0,complement(complement(X0))),complement(top)),
inference(paramodulation,[status(thm)],[f30,f43]) ).
fof(f462,plain,
! [X0] : X0 = join(complement(top),meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f19,f461]) ).
fof(f475,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f24,f453]) ).
fof(f483,plain,
! [X0] : join(complement(X0),composition(converse(converse(one)),complement(X0))) = complement(X0),
inference(paramodulation,[status(thm)],[f453,f39]) ).
fof(f484,plain,
! [X0] : join(complement(X0),composition(one,complement(X0))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f26,f483]) ).
fof(f491,plain,
! [X0] : X0 = composition(one,X0),
inference(backward_demodulation,[status(thm)],[f475,f453]) ).
fof(f492,plain,
! [X0] : join(complement(X0),complement(X0)) = complement(X0),
inference(backward_demodulation,[status(thm)],[f491,f484]) ).
fof(f529,plain,
! [X0] : X0 = join(meet(X0,complement(X0)),complement(complement(X0))),
inference(paramodulation,[status(thm)],[f492,f43]) ).
fof(f530,plain,
! [X0] : X0 = join(complement(complement(X0)),meet(X0,complement(X0))),
inference(forward_demodulation,[status(thm)],[f19,f529]) ).
fof(f531,plain,
! [X0] : X0 = join(complement(complement(X0)),zero),
inference(forward_demodulation,[status(thm)],[f31,f530]) ).
fof(f532,plain,
! [X0] : X0 = join(zero,complement(complement(X0))),
inference(forward_demodulation,[status(thm)],[f19,f531]) ).
fof(f561,plain,
! [X0] : meet(X0,X0) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f492,f22]) ).
fof(f562,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(paramodulation,[status(thm)],[f30,f22]) ).
fof(f563,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f31,f562]) ).
fof(f564,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f19,f22]) ).
fof(f565,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f22,f564]) ).
fof(f569,plain,
! [X0,X1,X2] : meet(X0,join(complement(X1),complement(X2))) = complement(join(complement(X0),meet(X1,X2))),
inference(paramodulation,[status(thm)],[f22,f22]) ).
fof(f570,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f22,f43]) ).
fof(f571,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f19,f570]) ).
fof(f575,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),meet(X0,X1)) = complement(join(complement(X0),complement(X1))),
inference(paramodulation,[status(thm)],[f22,f492]) ).
fof(f576,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),complement(X1)))) = complement(join(complement(X0),complement(X1))),
inference(forward_demodulation,[status(thm)],[f19,f575]) ).
fof(f577,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = complement(join(complement(X0),complement(X1))),
inference(forward_demodulation,[status(thm)],[f22,f576]) ).
fof(f578,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f22,f577]) ).
fof(f605,plain,
! [X0] : X0 = join(zero,meet(X0,complement(complement(X0)))),
inference(backward_demodulation,[status(thm)],[f563,f462]) ).
fof(f606,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(paramodulation,[status(thm)],[f563,f22]) ).
fof(f607,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[status(thm)],[f19,f606]) ).
fof(f611,plain,
join(complement(top),zero) = complement(top),
inference(paramodulation,[status(thm)],[f563,f492]) ).
fof(f612,plain,
join(zero,complement(top)) = complement(top),
inference(forward_demodulation,[status(thm)],[f19,f611]) ).
fof(f613,plain,
join(zero,zero) = complement(top),
inference(forward_demodulation,[status(thm)],[f563,f612]) ).
fof(f614,plain,
join(zero,zero) = zero,
inference(forward_demodulation,[status(thm)],[f563,f613]) ).
fof(f620,plain,
! [X0] : join(zero,composition(converse(X0),complement(composition(X0,top)))) = complement(top),
inference(paramodulation,[status(thm)],[f563,f39]) ).
fof(f621,plain,
! [X0] : join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero,
inference(forward_demodulation,[status(thm)],[f563,f620]) ).
fof(f637,plain,
! [X0] : join(zero,join(zero,X0)) = join(X0,zero),
inference(paramodulation,[status(thm)],[f614,f50]) ).
fof(f656,plain,
! [X0,X1] : join(meet(X0,X1),composition(meet(X0,composition(X1,converse(one))),meet(one,composition(converse(X0),X1)))) = composition(meet(X0,composition(X1,converse(one))),meet(one,composition(converse(X0),X1))),
inference(paramodulation,[status(thm)],[f24,f32]) ).
fof(f657,plain,
! [X0,X1] : join(meet(X0,X1),composition(meet(X0,composition(X1,one)),meet(one,composition(converse(X0),X1)))) = composition(meet(X0,composition(X1,converse(one))),meet(one,composition(converse(X0),X1))),
inference(forward_demodulation,[status(thm)],[f475,f656]) ).
fof(f658,plain,
! [X0,X1] : join(meet(X0,X1),composition(meet(X0,X1),meet(one,composition(converse(X0),X1)))) = composition(meet(X0,composition(X1,converse(one))),meet(one,composition(converse(X0),X1))),
inference(forward_demodulation,[status(thm)],[f24,f657]) ).
fof(f659,plain,
! [X0,X1] : join(meet(X0,X1),composition(meet(X0,X1),meet(one,composition(converse(X0),X1)))) = composition(meet(X0,composition(X1,one)),meet(one,composition(converse(X0),X1))),
inference(forward_demodulation,[status(thm)],[f475,f658]) ).
fof(f660,plain,
! [X0,X1] : join(meet(X0,X1),composition(meet(X0,X1),meet(one,composition(converse(X0),X1)))) = composition(meet(X0,X1),meet(one,composition(converse(X0),X1))),
inference(forward_demodulation,[status(thm)],[f24,f659]) ).
fof(f689,plain,
! [X0,X1,X2] : join(meet(composition(X0,converse(X1)),X2),composition(meet(X0,composition(X2,X1)),meet(converse(X1),composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(converse(X1)))),meet(converse(X1),composition(converse(X0),X2))),
inference(paramodulation,[status(thm)],[f26,f32]) ).
fof(f690,plain,
! [X0,X1,X2] : join(meet(composition(X0,converse(X1)),X2),composition(meet(X0,composition(X2,X1)),meet(converse(X1),composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,X1)),meet(converse(X1),composition(converse(X0),X2))),
inference(forward_demodulation,[status(thm)],[f26,f689]) ).
fof(f1016,plain,
top = join(zero,meet(top,complement(zero))),
inference(paramodulation,[status(thm)],[f563,f605]) ).
fof(f1017,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),
inference(paramodulation,[status(thm)],[f22,f605]) ).
fof(f1018,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)],[f565,f1017]) ).
fof(f1019,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)],[f569,f1018]) ).
fof(f1020,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)],[f19,f1019]) ).
fof(f1043,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f565,f571]) ).
fof(f1045,plain,
! [X0] : X0 = join(meet(X0,top),meet(X0,zero)),
inference(paramodulation,[status(thm)],[f563,f571]) ).
fof(f1070,plain,
! [X0] : X0 = join(meet(X0,top),meet(zero,X0)),
inference(paramodulation,[status(thm)],[f565,f1045]) ).
fof(f1088,plain,
complement(zero) = join(meet(complement(zero),top),zero),
inference(paramodulation,[status(thm)],[f31,f1070]) ).
fof(f1089,plain,
complement(zero) = join(zero,meet(complement(zero),top)),
inference(forward_demodulation,[status(thm)],[f19,f1088]) ).
fof(f1090,plain,
complement(zero) = join(zero,meet(top,complement(zero))),
inference(forward_demodulation,[status(thm)],[f565,f1089]) ).
fof(f1091,plain,
complement(zero) = top,
inference(forward_demodulation,[status(thm)],[f1016,f1090]) ).
fof(f1204,plain,
! [X0] : meet(X0,zero) = complement(join(complement(X0),top)),
inference(paramodulation,[status(thm)],[f1091,f22]) ).
fof(f1205,plain,
! [X0] : meet(X0,zero) = complement(join(top,complement(X0))),
inference(forward_demodulation,[status(thm)],[f19,f1204]) ).
fof(f1417,plain,
! [X0] : complement(complement(X0)) = join(meet(complement(complement(X0)),X0),zero),
inference(paramodulation,[status(thm)],[f31,f1043]) ).
fof(f1418,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(complement(complement(X0)),X0)),
inference(forward_demodulation,[status(thm)],[f19,f1417]) ).
fof(f1419,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f565,f1418]) ).
fof(f1420,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f605,f1419]) ).
fof(f1421,plain,
! [X0] : complement(X0) = join(meet(complement(X0),X0),complement(complement(complement(X0)))),
inference(paramodulation,[status(thm)],[f561,f1043]) ).
fof(f1422,plain,
! [X0] : complement(X0) = join(complement(complement(complement(X0))),meet(complement(X0),X0)),
inference(forward_demodulation,[status(thm)],[f19,f1421]) ).
fof(f1423,plain,
! [X0] : complement(X0) = join(complement(X0),meet(complement(X0),X0)),
inference(forward_demodulation,[status(thm)],[f1420,f1422]) ).
fof(f1424,plain,
! [X0] : complement(X0) = join(complement(X0),meet(X0,complement(X0))),
inference(forward_demodulation,[status(thm)],[f565,f1423]) ).
fof(f1425,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(forward_demodulation,[status(thm)],[f31,f1424]) ).
fof(f1426,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[status(thm)],[f19,f1425]) ).
fof(f1445,plain,
! [X0] : X0 = join(zero,X0),
inference(backward_demodulation,[status(thm)],[f1420,f532]) ).
fof(f1446,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),meet(X0,X1)))),
inference(backward_demodulation,[status(thm)],[f1420,f1020]) ).
fof(f1447,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(join(meet(X0,X1),meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f1426,f1446]) ).
fof(f1448,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f578,f1447]) ).
fof(f1473,plain,
! [X0] : meet(X0,top) = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f1426,f607]) ).
fof(f1474,plain,
! [X0] : meet(X0,top) = X0,
inference(forward_demodulation,[status(thm)],[f1420,f1473]) ).
fof(f1475,plain,
! [X0] : composition(converse(X0),complement(composition(X0,top))) = zero,
inference(backward_demodulation,[status(thm)],[f1445,f621]) ).
fof(f1476,plain,
! [X0] : join(zero,X0) = join(X0,zero),
inference(backward_demodulation,[status(thm)],[f1445,f637]) ).
fof(f1477,plain,
! [X0] : X0 = join(X0,zero),
inference(forward_demodulation,[status(thm)],[f1445,f1476]) ).
fof(f1528,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(zero)),
inference(paramodulation,[status(thm)],[f1477,f78]) ).
fof(f1529,plain,
! [X0] : X0 = join(X0,converse(zero)),
inference(forward_demodulation,[status(thm)],[f26,f1528]) ).
fof(f1767,plain,
! [X0] : meet(top,X0) = X0,
inference(paramodulation,[status(thm)],[f565,f1474]) ).
fof(f1893,plain,
zero = converse(zero),
inference(paramodulation,[status(thm)],[f1445,f1529]) ).
fof(f2039,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X1,X0)))),
inference(paramodulation,[status(thm)],[f56,f460]) ).
fof(f2057,plain,
! [X0,X1,X2] : top = join(meet(composition(X0,X1),X2),join(meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2),complement(meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)))),
inference(paramodulation,[status(thm)],[f34,f460]) ).
fof(f2058,plain,
! [X0,X1,X2] : top = join(meet(composition(X0,X1),X2),top),
inference(forward_demodulation,[status(thm)],[f30,f2057]) ).
fof(f2059,plain,
! [X0,X1,X2] : top = join(top,meet(composition(X0,X1),X2)),
inference(forward_demodulation,[status(thm)],[f19,f2058]) ).
fof(f2145,plain,
! [X0,X1] : top = join(top,composition(X0,X1)),
inference(paramodulation,[status(thm)],[f1474,f2059]) ).
fof(f2168,plain,
! [X0] : top = join(top,X0),
inference(paramodulation,[status(thm)],[f491,f2145]) ).
fof(f2174,plain,
! [X0,X1,X2] : join(top,join(X0,composition(X1,X2))) = join(X0,top),
inference(paramodulation,[status(thm)],[f2145,f56]) ).
fof(f2175,plain,
! [X0] : top = join(X0,top),
inference(forward_demodulation,[status(thm)],[f2168,f2174]) ).
fof(f2193,plain,
! [X0] : meet(X0,zero) = complement(top),
inference(backward_demodulation,[status(thm)],[f2168,f1205]) ).
fof(f2194,plain,
! [X0] : meet(X0,zero) = zero,
inference(forward_demodulation,[status(thm)],[f563,f2193]) ).
fof(f2271,plain,
! [X0] : converse(top) = join(X0,converse(top)),
inference(paramodulation,[status(thm)],[f2175,f78]) ).
fof(f2670,plain,
converse(top) = top,
inference(paramodulation,[status(thm)],[f2168,f2271]) ).
fof(f3161,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,X0)) = meet(X1,X0),
inference(paramodulation,[status(thm)],[f565,f578]) ).
fof(f3465,plain,
! [X0,X1] : join(X0,complement(X1)) = complement(meet(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f1420,f1448]) ).
fof(f3553,plain,
composition(top,complement(composition(top,top))) = zero,
inference(paramodulation,[status(thm)],[f2670,f1475]) ).
fof(f3591,plain,
! [X0] : converse(zero) = composition(converse(complement(composition(X0,top))),X0),
inference(paramodulation,[status(thm)],[f1475,f48]) ).
fof(f3592,plain,
! [X0] : zero = composition(converse(complement(composition(X0,top))),X0),
inference(forward_demodulation,[status(thm)],[f1893,f3591]) ).
fof(f4110,plain,
! [X0,X1] : X0 = join(meet(X0,join(X1,complement(join(X1,complement(X0))))),complement(top)),
inference(paramodulation,[status(thm)],[f2039,f43]) ).
fof(f4111,plain,
! [X0,X1] : X0 = join(complement(top),meet(X0,join(X1,complement(join(X1,complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f19,f4110]) ).
fof(f4112,plain,
! [X0,X1] : X0 = join(zero,meet(X0,join(X1,complement(join(X1,complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f563,f4111]) ).
fof(f4113,plain,
! [X0,X1] : X0 = meet(X0,join(X1,complement(join(X1,complement(X0))))),
inference(forward_demodulation,[status(thm)],[f1445,f4112]) ).
fof(f4387,plain,
! [X0,X1,X2] : composition(join(meet(X0,X1),meet(X1,X0)),X2) = composition(meet(X0,X1),X2),
inference(paramodulation,[status(thm)],[f3161,f401]) ).
fof(f4388,plain,
! [X0,X1,X2] : composition(meet(X0,X1),X2) = composition(meet(X1,X0),X2),
inference(forward_demodulation,[status(thm)],[f3161,f4387]) ).
fof(f4543,plain,
! [X0,X1] : complement(join(X0,complement(X1))) = meet(complement(X0),X1),
inference(paramodulation,[status(thm)],[f3465,f1420]) ).
fof(f4561,plain,
! [X0,X1] : X0 = meet(X0,join(X1,meet(complement(X1),X0))),
inference(backward_demodulation,[status(thm)],[f4543,f4113]) ).
fof(f4585,plain,
! [X0,X1] : X0 = meet(X0,join(X1,meet(X0,complement(X1)))),
inference(paramodulation,[status(thm)],[f565,f4561]) ).
fof(f6229,plain,
! [X0,X1] : composition(join(composition(X0,top),X1),complement(composition(top,top))) = join(composition(X0,zero),composition(X1,complement(composition(top,top)))),
inference(paramodulation,[status(thm)],[f3553,f405]) ).
fof(f6261,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = join(composition(X0,complement(composition(top,top))),zero),
inference(paramodulation,[status(thm)],[f3553,f25]) ).
fof(f6262,plain,
! [X0] : composition(top,complement(composition(top,top))) = join(composition(X0,complement(composition(top,top))),zero),
inference(forward_demodulation,[status(thm)],[f2175,f6261]) ).
fof(f6263,plain,
! [X0] : zero = join(composition(X0,complement(composition(top,top))),zero),
inference(forward_demodulation,[status(thm)],[f3553,f6262]) ).
fof(f6264,plain,
! [X0] : zero = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[status(thm)],[f1477,f6263]) ).
fof(f6269,plain,
! [X0,X1] : zero = join(composition(X0,zero),composition(X1,complement(composition(top,top)))),
inference(backward_demodulation,[status(thm)],[f6264,f6229]) ).
fof(f6270,plain,
! [X0] : zero = join(composition(X0,zero),zero),
inference(forward_demodulation,[status(thm)],[f6264,f6269]) ).
fof(f6271,plain,
! [X0] : zero = composition(X0,zero),
inference(forward_demodulation,[status(thm)],[f1477,f6270]) ).
fof(f8559,plain,
! [X0] : join(meet(complement(composition(X0,top)),X0),composition(meet(complement(composition(X0,top)),X0),meet(one,zero))) = composition(meet(complement(composition(X0,top)),X0),meet(one,composition(converse(complement(composition(X0,top))),X0))),
inference(paramodulation,[status(thm)],[f3592,f660]) ).
fof(f8560,plain,
! [X0] : join(meet(X0,complement(composition(X0,top))),composition(meet(complement(composition(X0,top)),X0),meet(one,zero))) = composition(meet(complement(composition(X0,top)),X0),meet(one,composition(converse(complement(composition(X0,top))),X0))),
inference(forward_demodulation,[status(thm)],[f565,f8559]) ).
fof(f8561,plain,
! [X0] : join(meet(X0,complement(composition(X0,top))),composition(meet(X0,complement(composition(X0,top))),meet(one,zero))) = composition(meet(complement(composition(X0,top)),X0),meet(one,composition(converse(complement(composition(X0,top))),X0))),
inference(forward_demodulation,[status(thm)],[f4388,f8560]) ).
fof(f8562,plain,
! [X0] : join(meet(X0,complement(composition(X0,top))),composition(meet(X0,complement(composition(X0,top))),zero)) = composition(meet(complement(composition(X0,top)),X0),meet(one,composition(converse(complement(composition(X0,top))),X0))),
inference(forward_demodulation,[status(thm)],[f2194,f8561]) ).
fof(f8563,plain,
! [X0] : join(meet(X0,complement(composition(X0,top))),zero) = composition(meet(complement(composition(X0,top)),X0),meet(one,composition(converse(complement(composition(X0,top))),X0))),
inference(forward_demodulation,[status(thm)],[f6271,f8562]) ).
fof(f8564,plain,
! [X0] : meet(X0,complement(composition(X0,top))) = composition(meet(complement(composition(X0,top)),X0),meet(one,composition(converse(complement(composition(X0,top))),X0))),
inference(forward_demodulation,[status(thm)],[f1477,f8563]) ).
fof(f8565,plain,
! [X0] : meet(X0,complement(composition(X0,top))) = composition(meet(X0,complement(composition(X0,top))),meet(one,composition(converse(complement(composition(X0,top))),X0))),
inference(forward_demodulation,[status(thm)],[f4388,f8564]) ).
fof(f8566,plain,
! [X0] : meet(X0,complement(composition(X0,top))) = composition(meet(X0,complement(composition(X0,top))),meet(one,zero)),
inference(forward_demodulation,[status(thm)],[f3592,f8565]) ).
fof(f8567,plain,
! [X0] : meet(X0,complement(composition(X0,top))) = composition(meet(X0,complement(composition(X0,top))),zero),
inference(forward_demodulation,[status(thm)],[f2194,f8566]) ).
fof(f8568,plain,
! [X0] : meet(X0,complement(composition(X0,top))) = zero,
inference(forward_demodulation,[status(thm)],[f6271,f8567]) ).
fof(f9207,plain,
! [X0] : X0 = meet(X0,join(composition(X0,top),zero)),
inference(paramodulation,[status(thm)],[f8568,f4585]) ).
fof(f9208,plain,
! [X0] : X0 = meet(X0,composition(X0,top)),
inference(forward_demodulation,[status(thm)],[f1477,f9207]) ).
fof(f11631,plain,
! [X0] : join(meet(composition(X0,converse(top)),X0),composition(X0,meet(converse(top),composition(converse(X0),X0)))) = composition(meet(X0,composition(X0,top)),meet(converse(top),composition(converse(X0),X0))),
inference(paramodulation,[status(thm)],[f9208,f690]) ).
fof(f11632,plain,
! [X0] : join(meet(X0,composition(X0,converse(top))),composition(X0,meet(converse(top),composition(converse(X0),X0)))) = composition(meet(X0,composition(X0,top)),meet(converse(top),composition(converse(X0),X0))),
inference(forward_demodulation,[status(thm)],[f565,f11631]) ).
fof(f11633,plain,
! [X0] : join(meet(X0,composition(X0,top)),composition(X0,meet(converse(top),composition(converse(X0),X0)))) = composition(meet(X0,composition(X0,top)),meet(converse(top),composition(converse(X0),X0))),
inference(forward_demodulation,[status(thm)],[f2670,f11632]) ).
fof(f11634,plain,
! [X0] : join(X0,composition(X0,meet(converse(top),composition(converse(X0),X0)))) = composition(meet(X0,composition(X0,top)),meet(converse(top),composition(converse(X0),X0))),
inference(forward_demodulation,[status(thm)],[f9208,f11633]) ).
fof(f11635,plain,
! [X0] : join(X0,composition(X0,meet(top,composition(converse(X0),X0)))) = composition(meet(X0,composition(X0,top)),meet(converse(top),composition(converse(X0),X0))),
inference(forward_demodulation,[status(thm)],[f2670,f11634]) ).
fof(f11636,plain,
! [X0] : join(X0,composition(X0,composition(converse(X0),X0))) = composition(meet(X0,composition(X0,top)),meet(converse(top),composition(converse(X0),X0))),
inference(forward_demodulation,[status(thm)],[f1767,f11635]) ).
fof(f11637,plain,
! [X0] : join(X0,composition(X0,composition(converse(X0),X0))) = composition(X0,meet(converse(top),composition(converse(X0),X0))),
inference(forward_demodulation,[status(thm)],[f9208,f11636]) ).
fof(f11638,plain,
! [X0] : join(X0,composition(X0,composition(converse(X0),X0))) = composition(X0,meet(top,composition(converse(X0),X0))),
inference(forward_demodulation,[status(thm)],[f2670,f11637]) ).
fof(f11639,plain,
! [X0] : join(X0,composition(X0,composition(converse(X0),X0))) = composition(X0,composition(converse(X0),X0)),
inference(forward_demodulation,[status(thm)],[f1767,f11638]) ).
fof(f11956,plain,
composition(sk0_0,composition(converse(sk0_0),sk0_0)) != composition(sk0_0,composition(converse(sk0_0),sk0_0)),
inference(backward_demodulation,[status(thm)],[f11639,f41]) ).
fof(f11957,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f11956]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : REL045+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n025.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 10:14:42 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 4.53/0.99 % Refutation found
% 4.53/0.99 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.53/0.99 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.82/1.02 % Elapsed time: 0.707045 seconds
% 4.82/1.02 % CPU time: 5.000598 seconds
% 4.82/1.02 % Memory used: 75.655 MB
%------------------------------------------------------------------------------