TSTP Solution File: REL012+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : REL012+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 19.92s 3.09s
% Output : CNFRefutation 20.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 12
% Syntax : Number of formulae : 174 ( 174 unt; 0 def)
% Number of atoms : 174 ( 173 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 290 (; 288 !; 2 ?)
% 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(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(f17,conjecture,
! [X0,X1] : join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)) = complement(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
~ ! [X0,X1] : join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)) = complement(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(f24,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
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(f35,plain,
? [X0,X1] : join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)) != complement(X0),
inference(pre_NNF_transformation,[status(esa)],[f18]) ).
fof(f36,plain,
join(composition(complement(composition(sk0_0,sk0_1)),converse(sk0_1)),complement(sk0_0)) != complement(sk0_0),
inference(skolemization,[status(esa)],[f35]) ).
fof(f37,plain,
join(composition(complement(composition(sk0_0,sk0_1)),converse(sk0_1)),complement(sk0_0)) != complement(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(complement(sk0_0),composition(complement(composition(sk0_0,sk0_1)),converse(sk0_1))) != complement(sk0_0),
inference(forward_demodulation,[status(thm)],[f19,f37]) ).
fof(f41,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f22,f38]) ).
fof(f42,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f19,f41]) ).
fof(f43,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(paramodulation,[status(thm)],[f19,f20]) ).
fof(f48,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(paramodulation,[status(thm)],[f19,f20]) ).
fof(f49,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(forward_demodulation,[status(thm)],[f20,f48]) ).
fof(f54,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f19,f22]) ).
fof(f55,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f22,f54]) ).
fof(f59,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(f67,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f26,f27]) ).
fof(f109,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f26,f28]) ).
fof(f239,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f22,f42]) ).
fof(f240,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f19,f239]) ).
fof(f241,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(X1,complement(X0)))),
inference(paramodulation,[status(thm)],[f19,f42]) ).
fof(f246,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(complement(join(complement(X0),X1)),X2)) = join(X0,X2),
inference(paramodulation,[status(thm)],[f42,f20]) ).
fof(f247,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f55,f240]) ).
fof(f249,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f55,f240]) ).
fof(f284,plain,
! [X0,X1] : join(complement(X0),composition(X1,complement(composition(converse(X1),X0)))) = complement(X0),
inference(paramodulation,[status(thm)],[f26,f39]) ).
fof(f292,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f24,f109]) ).
fof(f293,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f26,f292]) ).
fof(f304,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(paramodulation,[status(thm)],[f30,f67]) ).
fof(f306,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(paramodulation,[status(thm)],[f30,f22]) ).
fof(f307,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f31,f306]) ).
fof(f308,plain,
! [X0] : X0 = join(meet(X0,complement(complement(X0))),complement(top)),
inference(paramodulation,[status(thm)],[f30,f42]) ).
fof(f309,plain,
! [X0] : X0 = join(complement(top),meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f19,f308]) ).
fof(f310,plain,
! [X0] : X0 = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f307,f309]) ).
fof(f311,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(paramodulation,[status(thm)],[f30,f20]) ).
fof(f317,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(paramodulation,[status(thm)],[f307,f22]) ).
fof(f318,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[status(thm)],[f19,f317]) ).
fof(f333,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f24,f293]) ).
fof(f341,plain,
! [X0] : join(complement(X0),composition(converse(converse(one)),complement(X0))) = complement(X0),
inference(paramodulation,[status(thm)],[f293,f39]) ).
fof(f342,plain,
! [X0] : join(complement(X0),composition(one,complement(X0))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f26,f341]) ).
fof(f349,plain,
! [X0] : X0 = composition(one,X0),
inference(backward_demodulation,[status(thm)],[f333,f293]) ).
fof(f350,plain,
! [X0] : join(complement(X0),complement(X0)) = complement(X0),
inference(backward_demodulation,[status(thm)],[f349,f342]) ).
fof(f383,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),complement(X1)))) = complement(join(complement(X0),complement(X1))),
inference(paramodulation,[status(thm)],[f22,f350]) ).
fof(f384,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = complement(join(complement(X0),complement(X1))),
inference(forward_demodulation,[status(thm)],[f22,f383]) ).
fof(f385,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f22,f384]) ).
fof(f394,plain,
! [X0] : meet(X0,X0) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f350,f22]) ).
fof(f395,plain,
! [X0] : X0 = join(meet(X0,complement(X0)),complement(complement(X0))),
inference(paramodulation,[status(thm)],[f350,f42]) ).
fof(f396,plain,
! [X0] : X0 = join(complement(complement(X0)),meet(X0,complement(X0))),
inference(forward_demodulation,[status(thm)],[f19,f395]) ).
fof(f397,plain,
! [X0] : X0 = join(complement(complement(X0)),zero),
inference(forward_demodulation,[status(thm)],[f31,f396]) ).
fof(f398,plain,
! [X0] : X0 = join(zero,complement(complement(X0))),
inference(forward_demodulation,[status(thm)],[f19,f397]) ).
fof(f415,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(meet(X0,X1))),
inference(paramodulation,[status(thm)],[f22,f398]) ).
fof(f431,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f55,f247]) ).
fof(f446,plain,
! [X0] : complement(complement(X0)) = join(meet(complement(complement(X0)),X0),zero),
inference(paramodulation,[status(thm)],[f31,f249]) ).
fof(f447,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(complement(complement(X0)),X0)),
inference(forward_demodulation,[status(thm)],[f19,f446]) ).
fof(f448,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f55,f447]) ).
fof(f449,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f310,f448]) ).
fof(f450,plain,
! [X0] : complement(X0) = join(meet(complement(X0),X0),complement(complement(complement(X0)))),
inference(paramodulation,[status(thm)],[f394,f249]) ).
fof(f451,plain,
! [X0] : complement(X0) = join(complement(complement(complement(X0))),meet(complement(X0),X0)),
inference(forward_demodulation,[status(thm)],[f19,f450]) ).
fof(f452,plain,
! [X0] : complement(X0) = join(complement(X0),meet(complement(X0),X0)),
inference(forward_demodulation,[status(thm)],[f449,f451]) ).
fof(f453,plain,
! [X0] : complement(X0) = join(complement(X0),meet(X0,complement(X0))),
inference(forward_demodulation,[status(thm)],[f55,f452]) ).
fof(f454,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(forward_demodulation,[status(thm)],[f31,f453]) ).
fof(f455,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[status(thm)],[f19,f454]) ).
fof(f463,plain,
! [X0] : X0 = join(zero,X0),
inference(backward_demodulation,[status(thm)],[f449,f398]) ).
fof(f471,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f455,f415]) ).
fof(f472,plain,
! [X0] : meet(X0,top) = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f455,f318]) ).
fof(f473,plain,
! [X0] : meet(X0,top) = X0,
inference(forward_demodulation,[status(thm)],[f449,f472]) ).
fof(f483,plain,
! [X0,X1,X2] : meet(X0,complement(meet(X1,X2))) = complement(join(complement(X0),meet(X1,X2))),
inference(backward_demodulation,[status(thm)],[f471,f59]) ).
fof(f500,plain,
! [X0,X1] : complement(X0) = join(meet(complement(X0),X1),complement(join(X0,X1))),
inference(paramodulation,[status(thm)],[f449,f42]) ).
fof(f501,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),meet(complement(X0),X1)),
inference(forward_demodulation,[status(thm)],[f19,f500]) ).
fof(f513,plain,
! [X0] : meet(top,X0) = X0,
inference(paramodulation,[status(thm)],[f55,f473]) ).
fof(f1429,plain,
! [X0] : X0 = join(meet(X0,converse(complement(converse(complement(X0))))),complement(converse(top))),
inference(paramodulation,[status(thm)],[f304,f42]) ).
fof(f1430,plain,
! [X0] : X0 = join(complement(converse(top)),meet(X0,converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f19,f1429]) ).
fof(f1469,plain,
! [X0,X1] : X0 = join(meet(X0,join(complement(complement(X0)),X1)),complement(join(top,X1))),
inference(paramodulation,[status(thm)],[f311,f42]) ).
fof(f1470,plain,
! [X0,X1] : X0 = join(complement(join(top,X1)),meet(X0,join(complement(complement(X0)),X1))),
inference(forward_demodulation,[status(thm)],[f19,f1469]) ).
fof(f1471,plain,
! [X0,X1] : X0 = join(complement(join(top,X1)),meet(X0,join(X0,X1))),
inference(forward_demodulation,[status(thm)],[f449,f1470]) ).
fof(f2058,plain,
! [X0] : join(X0,meet(top,X0)) = meet(top,X0),
inference(paramodulation,[status(thm)],[f513,f385]) ).
fof(f2059,plain,
! [X0] : join(X0,X0) = meet(top,X0),
inference(forward_demodulation,[status(thm)],[f513,f2058]) ).
fof(f2060,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f513,f2059]) ).
fof(f2068,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,X0)) = meet(X1,X0),
inference(paramodulation,[status(thm)],[f55,f385]) ).
fof(f2116,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(paramodulation,[status(thm)],[f2060,f311]) ).
fof(f2117,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[status(thm)],[f30,f2116]) ).
fof(f2136,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(X1,X0),
inference(paramodulation,[status(thm)],[f2060,f49]) ).
fof(f2138,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(X1,X0),
inference(paramodulation,[status(thm)],[f2060,f43]) ).
fof(f2168,plain,
! [X0] : top = join(top,X0),
inference(paramodulation,[status(thm)],[f449,f2117]) ).
fof(f2194,plain,
! [X0,X1] : X0 = join(complement(top),meet(X0,join(X0,X1))),
inference(backward_demodulation,[status(thm)],[f2168,f1471]) ).
fof(f2195,plain,
! [X0,X1] : X0 = join(zero,meet(X0,join(X0,X1))),
inference(forward_demodulation,[status(thm)],[f307,f2194]) ).
fof(f2196,plain,
! [X0,X1] : X0 = meet(X0,join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f463,f2195]) ).
fof(f2253,plain,
top = converse(top),
inference(paramodulation,[status(thm)],[f304,f2168]) ).
fof(f2304,plain,
! [X0] : X0 = join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))),
inference(backward_demodulation,[status(thm)],[f2253,f1430]) ).
fof(f2305,plain,
! [X0] : X0 = join(zero,meet(X0,converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f307,f2304]) ).
fof(f2306,plain,
! [X0] : X0 = meet(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f463,f2305]) ).
fof(f2454,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X1),
inference(paramodulation,[status(thm)],[f431,f2196]) ).
fof(f2455,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f55,f2454]) ).
fof(f2584,plain,
! [X0,X1] : join(meet(complement(X0),X1),X1) = join(meet(X0,X1),meet(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f431,f2136]) ).
fof(f2585,plain,
! [X0,X1] : join(X0,meet(complement(X1),X0)) = join(meet(X1,X0),meet(complement(X1),X0)),
inference(forward_demodulation,[status(thm)],[f19,f2584]) ).
fof(f2586,plain,
! [X0,X1] : join(X0,meet(complement(X1),X0)) = X0,
inference(forward_demodulation,[status(thm)],[f431,f2585]) ).
fof(f2692,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f449,f2586]) ).
fof(f2915,plain,
! [X0,X1] : complement(X0) = join(meet(complement(X0),X1),complement(join(X1,X0))),
inference(paramodulation,[status(thm)],[f449,f241]) ).
fof(f2916,plain,
! [X0,X1] : complement(X0) = join(complement(join(X1,X0)),meet(complement(X0),X1)),
inference(forward_demodulation,[status(thm)],[f19,f2915]) ).
fof(f3045,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(meet(X0,X1),join(X0,X2)),
inference(paramodulation,[status(thm)],[f246,f2196]) ).
fof(f3716,plain,
! [X0] : complement(X0) = meet(complement(X0),converse(complement(converse(X0)))),
inference(paramodulation,[status(thm)],[f449,f2306]) ).
fof(f3759,plain,
! [X0] : join(converse(complement(converse(complement(X0)))),X0) = converse(complement(converse(complement(X0)))),
inference(paramodulation,[status(thm)],[f2306,f2692]) ).
fof(f3760,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = converse(complement(converse(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f19,f3759]) ).
fof(f3915,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(X2,meet(X1,X0))) = join(X2,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f2068,f49]) ).
fof(f3922,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = join(meet(X1,X2),join(X0,meet(X2,X1))),
inference(paramodulation,[status(thm)],[f2068,f43]) ).
fof(f3923,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = join(X0,meet(X2,X1)),
inference(forward_demodulation,[status(thm)],[f3915,f3922]) ).
fof(f4289,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(join(X0,X2),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f55,f3045]) ).
fof(f4306,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X0)) = meet(meet(X1,X0),join(X0,X2)),
inference(paramodulation,[status(thm)],[f2455,f3045]) ).
fof(f4307,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(meet(X0,X1),join(X1,X2)),
inference(forward_demodulation,[status(thm)],[f2455,f4306]) ).
fof(f5450,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(join(X2,X0),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f2138,f4289]) ).
fof(f6402,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X0)) = meet(join(X2,X0),meet(X1,X0)),
inference(paramodulation,[status(thm)],[f2455,f5450]) ).
fof(f6403,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(join(X2,X1),meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f2455,f6402]) ).
fof(f7753,plain,
! [X0,X1] : join(X0,composition(X1,complement(composition(converse(X1),complement(X0))))) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f449,f284]) ).
fof(f7754,plain,
! [X0,X1] : join(X0,composition(X1,complement(composition(converse(X1),complement(X0))))) = X0,
inference(forward_demodulation,[status(thm)],[f449,f7753]) ).
fof(f11601,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),meet(complement(complement(join(X0,X1))),meet(complement(X0),X1))),
inference(paramodulation,[status(thm)],[f501,f501]) ).
fof(f11602,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),meet(complement(complement(join(X0,X1))),meet(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f449,f11601]) ).
fof(f11603,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),meet(meet(complement(X0),X1),complement(complement(join(X0,X1))))),
inference(forward_demodulation,[status(thm)],[f3923,f11602]) ).
fof(f11604,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(meet(complement(X0),X1),complement(complement(join(X0,X1))))),
inference(forward_demodulation,[status(thm)],[f449,f11603]) ).
fof(f11605,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(meet(complement(X0),X1),join(X0,X1))),
inference(forward_demodulation,[status(thm)],[f449,f11604]) ).
fof(f11606,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(join(X0,X1),meet(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f3923,f11605]) ).
fof(f11607,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(complement(X0),X1)),
inference(forward_demodulation,[status(thm)],[f6403,f11606]) ).
fof(f11854,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(join(X0,X1)),complement(X0)),
inference(paramodulation,[status(thm)],[f501,f2196]) ).
fof(f11855,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(X0),complement(join(X0,X1))),
inference(forward_demodulation,[status(thm)],[f55,f11854]) ).
fof(f11935,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(X1,complement(X0))),
inference(paramodulation,[status(thm)],[f3923,f11607]) ).
fof(f12355,plain,
! [X0,X1] : complement(meet(complement(X0),X1)) = join(complement(complement(X0)),meet(complement(meet(complement(X0),X1)),complement(join(X1,X0)))),
inference(paramodulation,[status(thm)],[f2916,f2916]) ).
fof(f12356,plain,
! [X0,X1] : complement(meet(complement(X0),X1)) = join(complement(complement(X0)),meet(complement(join(X1,X0)),complement(meet(complement(X0),X1)))),
inference(forward_demodulation,[status(thm)],[f3923,f12355]) ).
fof(f12357,plain,
! [X0,X1] : complement(meet(complement(X0),X1)) = join(X0,meet(complement(join(X1,X0)),complement(meet(complement(X0),X1)))),
inference(forward_demodulation,[status(thm)],[f449,f12356]) ).
fof(f12761,plain,
! [X0,X1] : converse(converse(X0)) = join(X0,converse(composition(X1,complement(composition(converse(X1),complement(converse(X0))))))),
inference(paramodulation,[status(thm)],[f7754,f67]) ).
fof(f12762,plain,
! [X0,X1] : X0 = join(X0,converse(composition(X1,complement(composition(converse(X1),complement(converse(X0))))))),
inference(forward_demodulation,[status(thm)],[f26,f12761]) ).
fof(f15148,plain,
! [X0,X1] : complement(join(meet(X0,X1),meet(complement(X0),X1))) = meet(complement(meet(X0,X1)),complement(X1)),
inference(paramodulation,[status(thm)],[f431,f11855]) ).
fof(f15149,plain,
! [X0,X1] : complement(X0) = meet(complement(meet(X1,X0)),complement(X0)),
inference(forward_demodulation,[status(thm)],[f431,f15148]) ).
fof(f15150,plain,
! [X0,X1] : complement(X0) = meet(complement(X0),complement(meet(X1,X0))),
inference(forward_demodulation,[status(thm)],[f55,f15149]) ).
fof(f15407,plain,
! [X0,X1,X2] : complement(join(X0,X1)) = meet(complement(join(X0,X1)),complement(meet(X2,X0))),
inference(paramodulation,[status(thm)],[f4307,f15150]) ).
fof(f15550,plain,
! [X0,X1] : complement(meet(complement(X0),X1)) = join(X0,complement(join(X1,X0))),
inference(backward_demodulation,[status(thm)],[f15407,f12357]) ).
fof(f16006,plain,
! [X0,X1] : meet(X0,complement(meet(top,X1))) = complement(join(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f513,f483]) ).
fof(f16007,plain,
! [X0,X1] : meet(X0,complement(X1)) = complement(join(complement(X0),X1)),
inference(forward_demodulation,[status(thm)],[f513,f16006]) ).
fof(f16320,plain,
! [X0,X1] : meet(complement(X0),complement(X1)) = complement(join(X0,X1)),
inference(paramodulation,[status(thm)],[f449,f16007]) ).
fof(f16747,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,X0))),
inference(paramodulation,[status(thm)],[f16320,f11935]) ).
fof(f16748,plain,
! [X0,X1] : join(X0,complement(X1)) = complement(meet(complement(X0),X1)),
inference(forward_demodulation,[status(thm)],[f15550,f16747]) ).
fof(f17027,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f3716,f16748]) ).
fof(f17028,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[status(thm)],[f449,f17027]) ).
fof(f17238,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(paramodulation,[status(thm)],[f17028,f67]) ).
fof(f17239,plain,
! [X0] : X0 = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(forward_demodulation,[status(thm)],[f26,f17238]) ).
fof(f17240,plain,
! [X0] : X0 = join(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f26,f17239]) ).
fof(f17241,plain,
! [X0] : X0 = converse(complement(converse(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f3760,f17240]) ).
fof(f17361,plain,
! [X0] : complement(X0) = converse(complement(converse(X0))),
inference(paramodulation,[status(thm)],[f449,f17241]) ).
fof(f17702,plain,
! [X0,X1] : converse(composition(complement(X0),X1)) = composition(converse(X1),complement(converse(X0))),
inference(paramodulation,[status(thm)],[f17361,f109]) ).
fof(f17707,plain,
! [X0,X1] : converse(composition(X0,complement(converse(X1)))) = composition(complement(X1),converse(X0)),
inference(paramodulation,[status(thm)],[f17361,f28]) ).
fof(f17848,plain,
! [X0,X1] : X0 = join(X0,converse(composition(X1,complement(converse(composition(complement(X0),X1)))))),
inference(backward_demodulation,[status(thm)],[f17702,f12762]) ).
fof(f17849,plain,
! [X0,X1] : X0 = join(X0,composition(complement(composition(complement(X0),X1)),converse(X1))),
inference(forward_demodulation,[status(thm)],[f17707,f17848]) ).
fof(f19527,plain,
! [X0,X1] : complement(X0) = join(complement(X0),composition(complement(composition(X0,X1)),converse(X1))),
inference(paramodulation,[status(thm)],[f449,f17849]) ).
fof(f19627,plain,
complement(sk0_0) != complement(sk0_0),
inference(backward_demodulation,[status(thm)],[f19527,f40]) ).
fof(f19628,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f19627]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.09 % Problem : REL012+2 : TPTP v8.1.2. Released v4.0.0.
% 0.01/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n026.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 : Tue May 30 10:19:28 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % Drodi V3.5.1
% 19.92/3.09 % Refutation found
% 19.92/3.09 % SZS status Theorem for theBenchmark: Theorem is valid
% 19.92/3.09 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 21.56/3.21 % Elapsed time: 2.877945 seconds
% 21.56/3.21 % CPU time: 21.162199 seconds
% 21.56/3.21 % Memory used: 259.807 MB
%------------------------------------------------------------------------------