TSTP Solution File: REL041+2 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : REL041+2 : 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 : Tue Apr 30 20:37:34 EDT 2024
% Result : Theorem 90.55s 11.73s
% Output : CNFRefutation 92.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 15
% Syntax : Number of formulae : 187 ( 183 unt; 0 def)
% Number of atoms : 191 ( 190 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 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 : 273 ( 271 !; 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(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
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,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,conjecture,
! [X0] :
( join(composition(converse(X0),X0),one) = one
=> ! [X1] : meet(composition(X0,X1),composition(X0,complement(X1))) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
~ ! [X0] :
( join(composition(converse(X0),X0),one) = one
=> ! [X1] : meet(composition(X0,X1),composition(X0,complement(X1))) = 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(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(f35,plain,
? [X0] :
( join(composition(converse(X0),X0),one) = one
& ? [X1] : meet(composition(X0,X1),composition(X0,complement(X1))) != zero ),
inference(pre_NNF_transformation,[status(esa)],[f18]) ).
fof(f36,plain,
( join(composition(converse(sk0_0),sk0_0),one) = one
& meet(composition(sk0_0,sk0_1),composition(sk0_0,complement(sk0_1))) != zero ),
inference(skolemization,[status(esa)],[f35]) ).
fof(f37,plain,
join(composition(converse(sk0_0),sk0_0),one) = one,
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f38,plain,
meet(composition(sk0_0,sk0_1),composition(sk0_0,complement(sk0_1))) != zero,
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f39,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f19,f21]) ).
fof(f40,plain,
! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f19,f29]) ).
fof(f41,plain,
join(one,composition(converse(sk0_0),sk0_0)) = one,
inference(forward_demodulation,[status(thm)],[f19,f37]) ).
fof(f42,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f22,f39]) ).
fof(f43,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f19,f42]) ).
fof(f45,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f26,f28]) ).
fof(f46,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f19,f22]) ).
fof(f47,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f22,f46]) ).
fof(f50,plain,
! [X0,X1,X2] : meet(join(complement(X0),complement(X1)),X2) = complement(join(meet(X0,X1),complement(X2))),
inference(paramodulation,[status(thm)],[f22,f22]) ).
fof(f52,plain,
! [X0,X1] : zero = meet(join(complement(X0),complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f22,f31]) ).
fof(f53,plain,
! [X0,X1] : zero = complement(join(meet(X0,X1),complement(meet(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f50,f52]) ).
fof(f54,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f30,f53]) ).
fof(f55,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(paramodulation,[status(thm)],[f54,f22]) ).
fof(f56,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[status(thm)],[f19,f55]) ).
fof(f65,plain,
! [X0,X1] : composition(X0,composition(one,X1)) = composition(X0,X1),
inference(paramodulation,[status(thm)],[f24,f23]) ).
fof(f78,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f26,f27]) ).
fof(f126,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(paramodulation,[status(thm)],[f19,f20]) ).
fof(f145,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(f168,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(paramodulation,[status(thm)],[f20,f30]) ).
fof(f180,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(paramodulation,[status(thm)],[f30,f20]) ).
fof(f216,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f24,f45]) ).
fof(f217,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f26,f216]) ).
fof(f241,plain,
! [X0] : composition(one,X0) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f65,f217]) ).
fof(f242,plain,
! [X0] : composition(one,X0) = X0,
inference(forward_demodulation,[status(thm)],[f217,f241]) ).
fof(f243,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f24,f217]) ).
fof(f255,plain,
! [X0,X1] : composition(join(converse(one),X0),X1) = join(X1,composition(X0,X1)),
inference(paramodulation,[status(thm)],[f217,f25]) ).
fof(f256,plain,
! [X0,X1] : composition(join(one,X0),X1) = join(X1,composition(X0,X1)),
inference(forward_demodulation,[status(thm)],[f243,f255]) ).
fof(f284,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(paramodulation,[status(thm)],[f30,f78]) ).
fof(f352,plain,
! [X0] : join(X0,top) = join(top,complement(complement(X0))),
inference(paramodulation,[status(thm)],[f30,f180]) ).
fof(f482,plain,
! [X0] : join(X0,converse(top)) = join(top,converse(complement(converse(complement(X0))))),
inference(paramodulation,[status(thm)],[f284,f180]) ).
fof(f487,plain,
! [X0] : top = join(X0,join(converse(complement(converse(X0))),complement(converse(top)))),
inference(paramodulation,[status(thm)],[f284,f168]) ).
fof(f488,plain,
! [X0] : top = join(X0,join(complement(converse(top)),converse(complement(converse(X0))))),
inference(forward_demodulation,[status(thm)],[f19,f487]) ).
fof(f490,plain,
! [X0] : join(zero,composition(converse(X0),complement(composition(X0,top)))) = complement(top),
inference(paramodulation,[status(thm)],[f54,f40]) ).
fof(f491,plain,
! [X0] : join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero,
inference(forward_demodulation,[status(thm)],[f54,f490]) ).
fof(f498,plain,
! [X0] : join(complement(X0),composition(one,complement(composition(one,X0)))) = complement(X0),
inference(paramodulation,[status(thm)],[f243,f40]) ).
fof(f499,plain,
! [X0] : join(complement(X0),complement(composition(one,X0))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f242,f498]) ).
fof(f500,plain,
! [X0] : join(complement(X0),complement(X0)) = complement(X0),
inference(forward_demodulation,[status(thm)],[f242,f499]) ).
fof(f552,plain,
! [X0,X1,X2,X3] : join(meet(composition(X0,X1),composition(X2,X3)),composition(meet(X0,composition(X2,composition(X3,converse(X1)))),meet(X1,composition(converse(X0),composition(X2,X3))))) = composition(meet(X0,composition(composition(X2,X3),converse(X1))),meet(X1,composition(converse(X0),composition(X2,X3)))),
inference(paramodulation,[status(thm)],[f23,f32]) ).
fof(f553,plain,
! [X0,X1,X2,X3] : join(meet(composition(X0,X1),composition(X2,X3)),composition(meet(X0,composition(X2,composition(X3,converse(X1)))),meet(X1,composition(converse(X0),composition(X2,X3))))) = composition(meet(X0,composition(X2,composition(X3,converse(X1)))),meet(X1,composition(converse(X0),composition(X2,X3)))),
inference(forward_demodulation,[status(thm)],[f23,f552]) ).
fof(f826,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),complement(X1)))) = complement(join(complement(X0),complement(X1))),
inference(paramodulation,[status(thm)],[f22,f500]) ).
fof(f827,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = complement(join(complement(X0),complement(X1))),
inference(forward_demodulation,[status(thm)],[f22,f826]) ).
fof(f828,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f22,f827]) ).
fof(f845,plain,
! [X0] : meet(X0,X0) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f500,f22]) ).
fof(f846,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(paramodulation,[status(thm)],[f500,f180]) ).
fof(f847,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[status(thm)],[f30,f846]) ).
fof(f874,plain,
! [X0] : join(X0,top) = top,
inference(backward_demodulation,[status(thm)],[f847,f352]) ).
fof(f887,plain,
! [X0] : join(top,X0) = top,
inference(paramodulation,[status(thm)],[f19,f874]) ).
fof(f891,plain,
! [X0] : converse(top) = join(X0,converse(top)),
inference(paramodulation,[status(thm)],[f874,f78]) ).
fof(f910,plain,
! [X0] : join(X0,converse(top)) = top,
inference(backward_demodulation,[status(thm)],[f887,f482]) ).
fof(f911,plain,
converse(top) = top,
inference(forward_demodulation,[status(thm)],[f891,f910]) ).
fof(f955,plain,
! [X0] : top = join(X0,join(complement(top),converse(complement(converse(X0))))),
inference(backward_demodulation,[status(thm)],[f911,f488]) ).
fof(f956,plain,
! [X0] : top = join(X0,join(zero,converse(complement(converse(X0))))),
inference(forward_demodulation,[status(thm)],[f54,f955]) ).
fof(f1333,plain,
! [X0] : X0 = join(zero,complement(join(complement(X0),complement(X0)))),
inference(paramodulation,[status(thm)],[f31,f43]) ).
fof(f1334,plain,
! [X0] : X0 = join(zero,meet(X0,X0)),
inference(forward_demodulation,[status(thm)],[f22,f1333]) ).
fof(f1335,plain,
! [X0] : X0 = join(zero,complement(complement(X0))),
inference(forward_demodulation,[status(thm)],[f845,f1334]) ).
fof(f1343,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f22,f43]) ).
fof(f1344,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f19,f1343]) ).
fof(f1351,plain,
! [X0] : X0 = join(meet(X0,top),complement(top)),
inference(paramodulation,[status(thm)],[f874,f43]) ).
fof(f1352,plain,
! [X0] : X0 = join(complement(top),meet(X0,top)),
inference(forward_demodulation,[status(thm)],[f19,f1351]) ).
fof(f1353,plain,
! [X0] : X0 = join(zero,meet(X0,top)),
inference(forward_demodulation,[status(thm)],[f54,f1352]) ).
fof(f1376,plain,
! [X0] : X0 = join(zero,meet(top,X0)),
inference(paramodulation,[status(thm)],[f47,f1353]) ).
fof(f1383,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(meet(X0,X1))),
inference(paramodulation,[status(thm)],[f22,f1335]) ).
fof(f1384,plain,
! [X0] : meet(complement(X0),top) = complement(X0),
inference(paramodulation,[status(thm)],[f1335,f56]) ).
fof(f1385,plain,
! [X0] : meet(top,complement(X0)) = complement(X0),
inference(forward_demodulation,[status(thm)],[f47,f1384]) ).
fof(f1409,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(paramodulation,[status(thm)],[f1385,f1376]) ).
fof(f1420,plain,
! [X0] : X0 = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f1409,f1335]) ).
fof(f1421,plain,
! [X0] : meet(X0,top) = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f1409,f56]) ).
fof(f1422,plain,
! [X0] : meet(X0,top) = X0,
inference(forward_demodulation,[status(thm)],[f1420,f1421]) ).
fof(f1423,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f1409,f1383]) ).
fof(f1458,plain,
! [X0] : X0 = join(zero,X0),
inference(backward_demodulation,[status(thm)],[f1422,f1353]) ).
fof(f1473,plain,
! [X0] : top = join(X0,converse(complement(converse(X0)))),
inference(backward_demodulation,[status(thm)],[f1458,f956]) ).
fof(f1474,plain,
! [X0] : composition(converse(X0),complement(composition(X0,top))) = zero,
inference(backward_demodulation,[status(thm)],[f1458,f491]) ).
fof(f1488,plain,
top = complement(zero),
inference(paramodulation,[status(thm)],[f54,f1420]) ).
fof(f1508,plain,
! [X0] : zero = join(meet(zero,X0),complement(join(top,X0))),
inference(paramodulation,[status(thm)],[f1488,f43]) ).
fof(f1509,plain,
! [X0] : zero = join(meet(zero,X0),complement(top)),
inference(forward_demodulation,[status(thm)],[f887,f1508]) ).
fof(f1510,plain,
! [X0] : zero = join(complement(top),meet(zero,X0)),
inference(forward_demodulation,[status(thm)],[f19,f1509]) ).
fof(f1511,plain,
! [X0] : zero = join(zero,meet(zero,X0)),
inference(forward_demodulation,[status(thm)],[f54,f1510]) ).
fof(f1512,plain,
! [X0] : zero = meet(zero,X0),
inference(forward_demodulation,[status(thm)],[f1458,f1511]) ).
fof(f1536,plain,
! [X0] : X0 = join(X0,complement(join(complement(X0),top))),
inference(paramodulation,[status(thm)],[f1422,f43]) ).
fof(f1537,plain,
! [X0] : X0 = join(X0,complement(top)),
inference(forward_demodulation,[status(thm)],[f874,f1536]) ).
fof(f1538,plain,
! [X0] : X0 = join(X0,zero),
inference(forward_demodulation,[status(thm)],[f54,f1537]) ).
fof(f1539,plain,
! [X0] : join(meet(X0,top),X0) = meet(X0,top),
inference(paramodulation,[status(thm)],[f1422,f828]) ).
fof(f1540,plain,
! [X0] : join(X0,meet(X0,top)) = meet(X0,top),
inference(forward_demodulation,[status(thm)],[f19,f1539]) ).
fof(f1541,plain,
! [X0] : join(X0,X0) = meet(X0,top),
inference(forward_demodulation,[status(thm)],[f1422,f1540]) ).
fof(f1542,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f1422,f1541]) ).
fof(f1606,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f1542,f20]) ).
fof(f1615,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(zero)),
inference(paramodulation,[status(thm)],[f1538,f78]) ).
fof(f1616,plain,
! [X0] : X0 = join(X0,converse(zero)),
inference(forward_demodulation,[status(thm)],[f26,f1615]) ).
fof(f1689,plain,
zero = converse(zero),
inference(paramodulation,[status(thm)],[f1458,f1616]) ).
fof(f1928,plain,
! [X0,X1] : join(X0,top) = join(complement(X1),join(X0,X1)),
inference(paramodulation,[status(thm)],[f30,f126]) ).
fof(f1929,plain,
! [X0,X1] : top = join(complement(X0),join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f874,f1928]) ).
fof(f1930,plain,
! [X0,X1] : top = join(X0,join(complement(X0),X1)),
inference(forward_demodulation,[status(thm)],[f126,f1929]) ).
fof(f2418,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f47,f1344]) ).
fof(f2511,plain,
! [X0,X1] : top = join(X0,join(X1,complement(X0))),
inference(paramodulation,[status(thm)],[f19,f1930]) ).
fof(f2533,plain,
! [X0,X1] : X0 = join(meet(X0,join(complement(complement(X0)),X1)),complement(top)),
inference(paramodulation,[status(thm)],[f1930,f43]) ).
fof(f2534,plain,
! [X0,X1] : X0 = join(complement(top),meet(X0,join(complement(complement(X0)),X1))),
inference(forward_demodulation,[status(thm)],[f19,f2533]) ).
fof(f2535,plain,
! [X0,X1] : X0 = join(zero,meet(X0,join(complement(complement(X0)),X1))),
inference(forward_demodulation,[status(thm)],[f54,f2534]) ).
fof(f2536,plain,
! [X0,X1] : X0 = meet(X0,join(complement(complement(X0)),X1)),
inference(forward_demodulation,[status(thm)],[f1458,f2535]) ).
fof(f2537,plain,
! [X0,X1] : X0 = meet(X0,join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1420,f2536]) ).
fof(f2593,plain,
! [X0,X1] : X0 = meet(X0,join(X1,X0)),
inference(paramodulation,[status(thm)],[f19,f2537]) ).
fof(f2866,plain,
! [X0] : X0 = join(meet(X0,converse(complement(converse(complement(X0))))),complement(top)),
inference(paramodulation,[status(thm)],[f1473,f43]) ).
fof(f2867,plain,
! [X0] : X0 = join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f19,f2866]) ).
fof(f2868,plain,
! [X0] : X0 = join(zero,meet(X0,converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f54,f2867]) ).
fof(f2869,plain,
! [X0] : X0 = meet(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f1458,f2868]) ).
fof(f3327,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f47,f2418]) ).
fof(f3766,plain,
! [X0,X1] : join(meet(X0,X1),X1) = join(meet(X0,X1),meet(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f3327,f1606]) ).
fof(f3767,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = join(meet(X1,X0),meet(complement(X1),X0)),
inference(forward_demodulation,[status(thm)],[f19,f3766]) ).
fof(f3768,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f3327,f3767]) ).
fof(f3934,plain,
! [X0,X1] : converse(converse(X0)) = join(X0,converse(meet(X1,converse(X0)))),
inference(paramodulation,[status(thm)],[f3768,f78]) ).
fof(f3935,plain,
! [X0,X1] : X0 = join(X0,converse(meet(X1,converse(X0)))),
inference(forward_demodulation,[status(thm)],[f26,f3934]) ).
fof(f4220,plain,
! [X0] : complement(converse(complement(X0))) = join(complement(converse(complement(X0))),converse(X0)),
inference(paramodulation,[status(thm)],[f2869,f3935]) ).
fof(f4221,plain,
! [X0] : complement(converse(complement(X0))) = join(converse(X0),complement(converse(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f19,f4220]) ).
fof(f4311,plain,
! [X0,X1] : join(X0,complement(X1)) = complement(meet(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f1420,f1423]) ).
fof(f4325,plain,
! [X0,X1] : top = join(X0,complement(meet(X1,X0))),
inference(paramodulation,[status(thm)],[f1423,f2511]) ).
fof(f4873,plain,
! [X0,X1] : top = complement(meet(X0,meet(X1,complement(X0)))),
inference(paramodulation,[status(thm)],[f1423,f4325]) ).
fof(f4986,plain,
! [X0,X1] : meet(X0,meet(X1,complement(X0))) = meet(meet(X0,meet(X1,complement(X0))),converse(complement(converse(top)))),
inference(paramodulation,[status(thm)],[f4873,f2869]) ).
fof(f4987,plain,
! [X0,X1] : meet(X0,meet(X1,complement(X0))) = meet(converse(complement(converse(top))),meet(X0,meet(X1,complement(X0)))),
inference(forward_demodulation,[status(thm)],[f47,f4986]) ).
fof(f4988,plain,
! [X0,X1] : meet(X0,meet(X1,complement(X0))) = meet(converse(complement(top)),meet(X0,meet(X1,complement(X0)))),
inference(forward_demodulation,[status(thm)],[f911,f4987]) ).
fof(f4989,plain,
! [X0,X1] : meet(X0,meet(X1,complement(X0))) = meet(converse(zero),meet(X0,meet(X1,complement(X0)))),
inference(forward_demodulation,[status(thm)],[f54,f4988]) ).
fof(f4990,plain,
! [X0,X1] : meet(X0,meet(X1,complement(X0))) = meet(zero,meet(X0,meet(X1,complement(X0)))),
inference(forward_demodulation,[status(thm)],[f1689,f4989]) ).
fof(f4991,plain,
! [X0,X1] : meet(X0,meet(X1,complement(X0))) = zero,
inference(forward_demodulation,[status(thm)],[f1512,f4990]) ).
fof(f5036,plain,
! [X0,X1] : meet(complement(X0),meet(X1,X0)) = zero,
inference(paramodulation,[status(thm)],[f1420,f4991]) ).
fof(f5115,plain,
! [X0,X1] : meet(complement(join(X0,X1)),X1) = zero,
inference(paramodulation,[status(thm)],[f2593,f5036]) ).
fof(f5116,plain,
! [X0,X1] : meet(X0,complement(join(X1,X0))) = zero,
inference(forward_demodulation,[status(thm)],[f47,f5115]) ).
fof(f6039,plain,
composition(top,complement(composition(top,top))) = zero,
inference(paramodulation,[status(thm)],[f911,f1474]) ).
fof(f11894,plain,
! [X0] : join(X0,complement(converse(complement(converse(complement(complement(X0))))))) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f2869,f4311]) ).
fof(f11895,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = complement(complement(X0)),
inference(forward_demodulation,[status(thm)],[f1420,f11894]) ).
fof(f11896,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[status(thm)],[f1420,f11895]) ).
fof(f12078,plain,
! [X0] : join(converse(X0),complement(converse(complement(X0)))) = converse(X0),
inference(paramodulation,[status(thm)],[f26,f11896]) ).
fof(f12079,plain,
! [X0] : complement(converse(complement(X0))) = converse(X0),
inference(forward_demodulation,[status(thm)],[f4221,f12078]) ).
fof(f12327,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(paramodulation,[status(thm)],[f1420,f12079]) ).
fof(f17077,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)],[f6039,f145]) ).
fof(f17104,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = join(composition(X0,complement(composition(top,top))),zero),
inference(paramodulation,[status(thm)],[f6039,f25]) ).
fof(f17105,plain,
! [X0] : composition(top,complement(composition(top,top))) = join(composition(X0,complement(composition(top,top))),zero),
inference(forward_demodulation,[status(thm)],[f874,f17104]) ).
fof(f17106,plain,
! [X0] : zero = join(composition(X0,complement(composition(top,top))),zero),
inference(forward_demodulation,[status(thm)],[f6039,f17105]) ).
fof(f17107,plain,
! [X0] : zero = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[status(thm)],[f1538,f17106]) ).
fof(f17112,plain,
! [X0,X1] : zero = join(composition(X0,zero),composition(X1,complement(composition(top,top)))),
inference(backward_demodulation,[status(thm)],[f17107,f17077]) ).
fof(f17113,plain,
! [X0] : zero = join(composition(X0,zero),zero),
inference(forward_demodulation,[status(thm)],[f17107,f17112]) ).
fof(f17114,plain,
! [X0] : zero = composition(X0,zero),
inference(forward_demodulation,[status(thm)],[f1538,f17113]) ).
fof(f63931,plain,
! [X0] : composition(one,X0) = join(X0,composition(composition(converse(sk0_0),sk0_0),X0)),
inference(paramodulation,[status(thm)],[f41,f256]) ).
fof(f63932,plain,
! [X0] : X0 = join(X0,composition(composition(converse(sk0_0),sk0_0),X0)),
inference(forward_demodulation,[status(thm)],[f242,f63931]) ).
fof(f63933,plain,
! [X0] : X0 = join(X0,composition(converse(sk0_0),composition(sk0_0,X0))),
inference(forward_demodulation,[status(thm)],[f23,f63932]) ).
fof(f74727,plain,
! [X0] : meet(composition(converse(sk0_0),composition(sk0_0,X0)),complement(X0)) = zero,
inference(paramodulation,[status(thm)],[f63933,f5116]) ).
fof(f74728,plain,
! [X0] : meet(complement(X0),composition(converse(sk0_0),composition(sk0_0,X0))) = zero,
inference(forward_demodulation,[status(thm)],[f47,f74727]) ).
fof(f107943,plain,
! [X0] : join(meet(composition(sk0_0,complement(X0)),composition(sk0_0,X0)),composition(meet(sk0_0,composition(sk0_0,composition(X0,converse(complement(X0))))),zero)) = composition(meet(sk0_0,composition(sk0_0,composition(X0,converse(complement(X0))))),meet(complement(X0),composition(converse(sk0_0),composition(sk0_0,X0)))),
inference(paramodulation,[status(thm)],[f74728,f553]) ).
fof(f107944,plain,
! [X0] : join(meet(composition(sk0_0,X0),composition(sk0_0,complement(X0))),composition(meet(sk0_0,composition(sk0_0,composition(X0,converse(complement(X0))))),zero)) = composition(meet(sk0_0,composition(sk0_0,composition(X0,converse(complement(X0))))),meet(complement(X0),composition(converse(sk0_0),composition(sk0_0,X0)))),
inference(forward_demodulation,[status(thm)],[f47,f107943]) ).
fof(f107945,plain,
! [X0] : join(meet(composition(sk0_0,X0),composition(sk0_0,complement(X0))),zero) = composition(meet(sk0_0,composition(sk0_0,composition(X0,converse(complement(X0))))),meet(complement(X0),composition(converse(sk0_0),composition(sk0_0,X0)))),
inference(forward_demodulation,[status(thm)],[f17114,f107944]) ).
fof(f107946,plain,
! [X0] : meet(composition(sk0_0,X0),composition(sk0_0,complement(X0))) = composition(meet(sk0_0,composition(sk0_0,composition(X0,converse(complement(X0))))),meet(complement(X0),composition(converse(sk0_0),composition(sk0_0,X0)))),
inference(forward_demodulation,[status(thm)],[f1538,f107945]) ).
fof(f107947,plain,
! [X0] : meet(composition(sk0_0,X0),composition(sk0_0,complement(X0))) = composition(meet(sk0_0,composition(sk0_0,composition(X0,complement(converse(X0))))),meet(complement(X0),composition(converse(sk0_0),composition(sk0_0,X0)))),
inference(forward_demodulation,[status(thm)],[f12327,f107946]) ).
fof(f107948,plain,
! [X0] : meet(composition(sk0_0,X0),composition(sk0_0,complement(X0))) = composition(meet(sk0_0,composition(sk0_0,composition(X0,complement(converse(X0))))),zero),
inference(forward_demodulation,[status(thm)],[f74728,f107947]) ).
fof(f107949,plain,
! [X0] : meet(composition(sk0_0,X0),composition(sk0_0,complement(X0))) = zero,
inference(forward_demodulation,[status(thm)],[f17114,f107948]) ).
fof(f108254,plain,
zero != zero,
inference(backward_demodulation,[status(thm)],[f107949,f38]) ).
fof(f108255,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f108254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : REL041+2 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Apr 29 20:57:17 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.34 % Drodi V3.6.0
% 90.55/11.73 % Refutation found
% 90.55/11.73 % SZS status Theorem for theBenchmark: Theorem is valid
% 90.55/11.73 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 92.87/12.10 % Elapsed time: 11.725367 seconds
% 92.87/12.10 % CPU time: 92.042168 seconds
% 92.87/12.10 % Total memory used: 1.499 GB
% 92.87/12.10 % Net memory used: 1.480 GB
%------------------------------------------------------------------------------