TSTP Solution File: REL011+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : REL011+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 2.86s 0.72s
% Output : CNFRefutation 2.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 14
% Syntax : Number of formulae : 118 ( 114 unt; 0 def)
% Number of atoms : 122 ( 121 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 4 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 164 (; 161 !; 3 ?)
% 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(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(f17,conjecture,
! [X0,X1,X2] :
( meet(X0,composition(converse(X1),X2)) = zero
=> meet(composition(X1,X0),X2) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( meet(X0,composition(converse(X1),X2)) = zero
=> meet(composition(X1,X0),X2) = zero ),
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(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(f35,plain,
? [X0,X1,X2] :
( meet(X0,composition(converse(X1),X2)) = zero
& meet(composition(X1,X0),X2) != zero ),
inference(pre_NNF_transformation,[status(esa)],[f18]) ).
fof(f36,plain,
( meet(sk0_0,composition(converse(sk0_1),sk0_2)) = zero
& meet(composition(sk0_1,sk0_0),sk0_2) != zero ),
inference(skolemization,[status(esa)],[f35]) ).
fof(f37,plain,
meet(sk0_0,composition(converse(sk0_1),sk0_2)) = zero,
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f38,plain,
meet(composition(sk0_1,sk0_0),sk0_2) != zero,
inference(cnf_transformation,[status(esa)],[f36]) ).
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,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(backward_demodulation,[status(thm)],[f22,f21]) ).
fof(f41,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f19,f40]) ).
fof(f43,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f26,f27]) ).
fof(f56,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f26,f28]) ).
fof(f315,plain,
! [X0,X1,X2] : join(meet(converse(composition(X0,X1)),X2),composition(meet(converse(X1),composition(X2,converse(converse(X0)))),meet(converse(X0),composition(converse(converse(X1)),X2)))) = composition(meet(converse(X1),composition(X2,converse(converse(X0)))),meet(converse(X0),composition(converse(converse(X1)),X2))),
inference(paramodulation,[status(thm)],[f28,f32]) ).
fof(f316,plain,
! [X0,X1,X2] : join(meet(converse(composition(X0,X1)),X2),composition(meet(converse(X1),composition(X2,X0)),meet(converse(X0),composition(converse(converse(X1)),X2)))) = composition(meet(converse(X1),composition(X2,converse(converse(X0)))),meet(converse(X0),composition(converse(converse(X1)),X2))),
inference(forward_demodulation,[status(thm)],[f26,f315]) ).
fof(f317,plain,
! [X0,X1,X2] : join(meet(converse(composition(X0,X1)),X2),composition(meet(converse(X1),composition(X2,X0)),meet(converse(X0),composition(X1,X2)))) = composition(meet(converse(X1),composition(X2,converse(converse(X0)))),meet(converse(X0),composition(converse(converse(X1)),X2))),
inference(forward_demodulation,[status(thm)],[f26,f316]) ).
fof(f318,plain,
! [X0,X1,X2] : join(meet(converse(composition(X0,X1)),X2),composition(meet(converse(X1),composition(X2,X0)),meet(converse(X0),composition(X1,X2)))) = composition(meet(converse(X1),composition(X2,X0)),meet(converse(X0),composition(converse(converse(X1)),X2))),
inference(forward_demodulation,[status(thm)],[f26,f317]) ).
fof(f319,plain,
! [X0,X1,X2] : join(meet(converse(composition(X0,X1)),X2),composition(meet(converse(X1),composition(X2,X0)),meet(converse(X0),composition(X1,X2)))) = composition(meet(converse(X1),composition(X2,X0)),meet(converse(X0),composition(X1,X2))),
inference(forward_demodulation,[status(thm)],[f26,f318]) ).
fof(f373,plain,
! [X0,X1,X2] : join(meet(composition(converse(X0),X1),X2),composition(meet(converse(X0),composition(X2,converse(X1))),meet(X1,composition(X0,X2)))) = composition(meet(converse(X0),composition(X2,converse(X1))),meet(X1,composition(converse(converse(X0)),X2))),
inference(paramodulation,[status(thm)],[f26,f32]) ).
fof(f374,plain,
! [X0,X1,X2] : join(meet(composition(converse(X0),X1),X2),composition(meet(converse(X0),composition(X2,converse(X1))),meet(X1,composition(X0,X2)))) = composition(meet(converse(X0),composition(X2,converse(X1))),meet(X1,composition(X0,X2))),
inference(forward_demodulation,[status(thm)],[f26,f373]) ).
fof(f430,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f24,f56]) ).
fof(f431,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f26,f430]) ).
fof(f465,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f24,f431]) ).
fof(f515,plain,
! [X0] : X0 = composition(one,X0),
inference(backward_demodulation,[status(thm)],[f465,f431]) ).
fof(f607,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(paramodulation,[status(thm)],[f30,f22]) ).
fof(f608,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f31,f607]) ).
fof(f609,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f19,f22]) ).
fof(f610,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f22,f609]) ).
fof(f619,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(paramodulation,[status(thm)],[f608,f22]) ).
fof(f760,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(paramodulation,[status(thm)],[f30,f20]) ).
fof(f781,plain,
! [X0,X1] : composition(join(one,X0),X1) = join(X1,composition(X0,X1)),
inference(paramodulation,[status(thm)],[f515,f25]) ).
fof(f821,plain,
! [X0] : join(complement(X0),composition(one,complement(composition(one,X0)))) = complement(X0),
inference(paramodulation,[status(thm)],[f465,f39]) ).
fof(f822,plain,
! [X0] : join(complement(X0),complement(composition(one,X0))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f515,f821]) ).
fof(f823,plain,
! [X0] : join(complement(X0),complement(X0)) = complement(X0),
inference(forward_demodulation,[status(thm)],[f515,f822]) ).
fof(f877,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),complement(X1)))) = complement(join(complement(X0),complement(X1))),
inference(paramodulation,[status(thm)],[f22,f823]) ).
fof(f878,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),meet(X0,X1)) = complement(join(complement(X0),complement(X1))),
inference(forward_demodulation,[status(thm)],[f19,f877]) ).
fof(f879,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = complement(join(complement(X0),complement(X1))),
inference(forward_demodulation,[status(thm)],[f22,f878]) ).
fof(f880,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f22,f879]) ).
fof(f1026,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,X0)) = meet(X1,X0),
inference(paramodulation,[status(thm)],[f610,f880]) ).
fof(f1057,plain,
join(zero,meet(composition(converse(sk0_1),sk0_2),sk0_0)) = meet(composition(converse(sk0_1),sk0_2),sk0_0),
inference(paramodulation,[status(thm)],[f37,f1026]) ).
fof(f1058,plain,
join(meet(composition(converse(sk0_1),sk0_2),sk0_0),zero) = meet(composition(converse(sk0_1),sk0_2),sk0_0),
inference(forward_demodulation,[status(thm)],[f19,f1057]) ).
fof(f1070,plain,
join(meet(composition(converse(sk0_1),sk0_2),sk0_0),zero) = meet(sk0_0,composition(converse(sk0_1),sk0_2)),
inference(paramodulation,[status(thm)],[f37,f1026]) ).
fof(f1071,plain,
meet(composition(converse(sk0_1),sk0_2),sk0_0) = meet(sk0_0,composition(converse(sk0_1),sk0_2)),
inference(forward_demodulation,[status(thm)],[f1058,f1070]) ).
fof(f1072,plain,
meet(composition(converse(sk0_1),sk0_2),sk0_0) = zero,
inference(forward_demodulation,[status(thm)],[f37,f1071]) ).
fof(f1245,plain,
! [X0] : composition(top,X0) = join(X0,composition(complement(one),X0)),
inference(paramodulation,[status(thm)],[f30,f781]) ).
fof(f1664,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(paramodulation,[status(thm)],[f823,f760]) ).
fof(f1665,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[status(thm)],[f30,f1664]) ).
fof(f1666,plain,
! [X0] : top = join(complement(X0),top),
inference(forward_demodulation,[status(thm)],[f19,f1665]) ).
fof(f1678,plain,
! [X0] : join(X0,top) = join(top,complement(complement(X0))),
inference(paramodulation,[status(thm)],[f30,f760]) ).
fof(f1679,plain,
! [X0] : join(X0,top) = join(complement(complement(X0)),top),
inference(forward_demodulation,[status(thm)],[f19,f1678]) ).
fof(f1680,plain,
! [X0] : join(X0,top) = top,
inference(forward_demodulation,[status(thm)],[f1666,f1679]) ).
fof(f1703,plain,
! [X0] : join(top,X0) = top,
inference(paramodulation,[status(thm)],[f19,f1680]) ).
fof(f1713,plain,
! [X0] : converse(top) = join(X0,converse(top)),
inference(paramodulation,[status(thm)],[f1680,f43]) ).
fof(f1737,plain,
composition(top,top) = top,
inference(paramodulation,[status(thm)],[f1245,f1703]) ).
fof(f1779,plain,
join(complement(top),composition(converse(top),complement(top))) = complement(top),
inference(paramodulation,[status(thm)],[f1737,f39]) ).
fof(f1780,plain,
composition(join(one,converse(top)),complement(top)) = complement(top),
inference(forward_demodulation,[status(thm)],[f781,f1779]) ).
fof(f1781,plain,
composition(converse(top),complement(top)) = complement(top),
inference(forward_demodulation,[status(thm)],[f1713,f1780]) ).
fof(f1782,plain,
composition(converse(top),zero) = complement(top),
inference(forward_demodulation,[status(thm)],[f608,f1781]) ).
fof(f1783,plain,
composition(converse(top),zero) = zero,
inference(forward_demodulation,[status(thm)],[f608,f1782]) ).
fof(f1852,plain,
! [X0] : composition(join(X0,converse(top)),zero) = join(composition(X0,zero),zero),
inference(paramodulation,[status(thm)],[f1783,f25]) ).
fof(f1853,plain,
! [X0] : composition(converse(top),zero) = join(composition(X0,zero),zero),
inference(forward_demodulation,[status(thm)],[f1713,f1852]) ).
fof(f1854,plain,
! [X0] : zero = join(composition(X0,zero),zero),
inference(forward_demodulation,[status(thm)],[f1783,f1853]) ).
fof(f2489,plain,
! [X0] : X0 = join(complement(complement(X0)),meet(X0,complement(X0))),
inference(paramodulation,[status(thm)],[f823,f41]) ).
fof(f2490,plain,
! [X0] : X0 = join(complement(complement(X0)),zero),
inference(forward_demodulation,[status(thm)],[f31,f2489]) ).
fof(f2492,plain,
! [X0] : X0 = join(complement(top),meet(X0,top)),
inference(paramodulation,[status(thm)],[f1680,f41]) ).
fof(f2493,plain,
! [X0] : X0 = join(zero,meet(X0,top)),
inference(forward_demodulation,[status(thm)],[f608,f2492]) ).
fof(f2494,plain,
! [X0] : X0 = join(meet(X0,top),zero),
inference(forward_demodulation,[status(thm)],[f19,f2493]) ).
fof(f2928,plain,
! [X0,X1,X2] : join(meet(converse(composition(converse(X0),X1)),X2),composition(meet(converse(X1),composition(X2,converse(X0))),meet(X0,composition(X1,X2)))) = composition(meet(converse(X1),composition(X2,converse(X0))),meet(converse(converse(X0)),composition(X1,X2))),
inference(paramodulation,[status(thm)],[f26,f319]) ).
fof(f2929,plain,
! [X0,X1,X2] : join(meet(composition(converse(X0),X1),X2),composition(meet(converse(X0),composition(X2,converse(X1))),meet(X1,composition(X0,X2)))) = composition(meet(converse(X0),composition(X2,converse(X1))),meet(converse(converse(X1)),composition(X0,X2))),
inference(forward_demodulation,[status(thm)],[f56,f2928]) ).
fof(f2930,plain,
! [X0,X1,X2] : composition(meet(converse(X0),composition(X1,converse(X2))),meet(X2,composition(X0,X1))) = composition(meet(converse(X0),composition(X1,converse(X2))),meet(converse(converse(X2)),composition(X0,X1))),
inference(forward_demodulation,[status(thm)],[f374,f2929]) ).
fof(f2931,plain,
! [X0,X1,X2] : composition(meet(composition(X0,converse(X1)),converse(X2)),meet(X1,composition(X2,X0))) = composition(meet(converse(X2),composition(X0,converse(X1))),meet(converse(converse(X1)),composition(X2,X0))),
inference(forward_demodulation,[status(thm)],[f610,f2930]) ).
fof(f2932,plain,
! [X0,X1,X2] : composition(meet(composition(X0,converse(X1)),converse(X2)),meet(X1,composition(X2,X0))) = composition(meet(composition(X0,converse(X1)),converse(X2)),meet(converse(converse(X1)),composition(X2,X0))),
inference(forward_demodulation,[status(thm)],[f610,f2931]) ).
fof(f2933,plain,
! [X0,X1,X2] : composition(meet(composition(X0,converse(X1)),converse(X2)),meet(X1,composition(X2,X0))) = composition(meet(composition(X0,converse(X1)),converse(X2)),meet(composition(X2,X0),converse(converse(X1)))),
inference(forward_demodulation,[status(thm)],[f610,f2932]) ).
fof(f2934,plain,
! [X0,X1,X2] : composition(meet(composition(X0,converse(X1)),converse(X2)),meet(X1,composition(X2,X0))) = composition(meet(composition(X0,converse(X1)),converse(X2)),meet(composition(X2,X0),X1)),
inference(forward_demodulation,[status(thm)],[f26,f2933]) ).
fof(f3462,plain,
! [X0] : meet(complement(X0),top) = complement(X0),
inference(paramodulation,[status(thm)],[f2490,f619]) ).
fof(f3484,plain,
! [X0] : complement(X0) = join(complement(join(complement(complement(X0)),top)),complement(X0)),
inference(paramodulation,[status(thm)],[f3462,f41]) ).
fof(f3485,plain,
! [X0] : complement(X0) = join(complement(top),complement(X0)),
inference(forward_demodulation,[status(thm)],[f1680,f3484]) ).
fof(f3486,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[status(thm)],[f608,f3485]) ).
fof(f3487,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(forward_demodulation,[status(thm)],[f19,f3486]) ).
fof(f3509,plain,
! [X0] : X0 = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f3487,f2490]) ).
fof(f3515,plain,
! [X0] : meet(X0,top) = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f3487,f619]) ).
fof(f3516,plain,
! [X0] : meet(X0,top) = X0,
inference(forward_demodulation,[status(thm)],[f3509,f3515]) ).
fof(f3627,plain,
! [X0] : X0 = join(X0,zero),
inference(backward_demodulation,[status(thm)],[f3516,f2494]) ).
fof(f3676,plain,
! [X0] : zero = composition(X0,zero),
inference(backward_demodulation,[status(thm)],[f3627,f1854]) ).
fof(f6457,plain,
join(meet(composition(converse(converse(sk0_1)),sk0_0),sk0_2),composition(meet(converse(converse(sk0_1)),composition(sk0_2,converse(sk0_0))),zero)) = composition(meet(converse(converse(sk0_1)),composition(sk0_2,converse(sk0_0))),meet(sk0_0,composition(converse(sk0_1),sk0_2))),
inference(paramodulation,[status(thm)],[f37,f374]) ).
fof(f6458,plain,
join(meet(composition(sk0_1,sk0_0),sk0_2),composition(meet(converse(converse(sk0_1)),composition(sk0_2,converse(sk0_0))),zero)) = composition(meet(converse(converse(sk0_1)),composition(sk0_2,converse(sk0_0))),meet(sk0_0,composition(converse(sk0_1),sk0_2))),
inference(forward_demodulation,[status(thm)],[f26,f6457]) ).
fof(f6459,plain,
join(meet(composition(sk0_1,sk0_0),sk0_2),zero) = composition(meet(converse(converse(sk0_1)),composition(sk0_2,converse(sk0_0))),meet(sk0_0,composition(converse(sk0_1),sk0_2))),
inference(forward_demodulation,[status(thm)],[f3676,f6458]) ).
fof(f6460,plain,
meet(composition(sk0_1,sk0_0),sk0_2) = composition(meet(converse(converse(sk0_1)),composition(sk0_2,converse(sk0_0))),meet(sk0_0,composition(converse(sk0_1),sk0_2))),
inference(forward_demodulation,[status(thm)],[f3627,f6459]) ).
fof(f6461,plain,
meet(composition(sk0_1,sk0_0),sk0_2) = composition(meet(composition(sk0_2,converse(sk0_0)),converse(converse(sk0_1))),meet(sk0_0,composition(converse(sk0_1),sk0_2))),
inference(forward_demodulation,[status(thm)],[f610,f6460]) ).
fof(f6462,plain,
meet(composition(sk0_1,sk0_0),sk0_2) = composition(meet(composition(sk0_2,converse(sk0_0)),converse(converse(sk0_1))),meet(composition(converse(sk0_1),sk0_2),sk0_0)),
inference(forward_demodulation,[status(thm)],[f2934,f6461]) ).
fof(f6463,plain,
meet(composition(sk0_1,sk0_0),sk0_2) = composition(meet(composition(sk0_2,converse(sk0_0)),sk0_1),meet(composition(converse(sk0_1),sk0_2),sk0_0)),
inference(forward_demodulation,[status(thm)],[f26,f6462]) ).
fof(f6464,plain,
meet(composition(sk0_1,sk0_0),sk0_2) = composition(meet(composition(sk0_2,converse(sk0_0)),sk0_1),zero),
inference(forward_demodulation,[status(thm)],[f1072,f6463]) ).
fof(f6465,plain,
meet(composition(sk0_1,sk0_0),sk0_2) = zero,
inference(forward_demodulation,[status(thm)],[f3676,f6464]) ).
fof(f6466,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f6465,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : REL011+2 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 10:00:42 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 2.86/0.72 % Refutation found
% 2.86/0.72 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.86/0.72 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.86/0.75 % Elapsed time: 0.404624 seconds
% 2.86/0.75 % CPU time: 3.023749 seconds
% 2.86/0.75 % Memory used: 55.206 MB
%------------------------------------------------------------------------------