TSTP Solution File: REL018-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : REL018-1 : 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 12:32:20 EDT 2023
% Result : Unsatisfiable 4.29s 1.00s
% Output : CNFRefutation 4.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 14
% Syntax : Number of formulae : 209 ( 209 unt; 0 def)
% Number of atoms : 209 ( 208 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 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 : 266 (; 266 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : join(A,B) = join(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : join(A,join(B,C)) = join(join(A,B),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : meet(A,B) = complement(join(complement(A),complement(B))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : composition(A,one) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C] : composition(join(A,B),C) = join(composition(A,C),composition(B,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] : converse(converse(A)) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] : converse(join(A,B)) = join(converse(A),converse(B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B] : converse(composition(A,B)) = composition(converse(B),converse(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A,B] : join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A] : top = join(A,complement(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A] : zero = meet(A,complement(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
composition(sk1,top) = sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
composition(complement(sk1),top) != complement(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f17,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f18,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f19,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f21,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f22,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f23,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f24,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f25,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f26,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f27,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f28,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f29,plain,
composition(sk1,top) = sk1,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f30,plain,
composition(complement(sk1),top) != complement(sk1),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f31,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f16,f18]) ).
fof(f32,plain,
! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f16,f26]) ).
fof(f33,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f19,f31]) ).
fof(f34,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f16,f33]) ).
fof(f44,plain,
! [X0] : composition(join(sk1,X0),top) = join(sk1,composition(X0,top)),
inference(paramodulation,[status(thm)],[f29,f22]) ).
fof(f53,plain,
! [X0] : X0 = join(meet(X0,complement(complement(X0))),complement(top)),
inference(paramodulation,[status(thm)],[f27,f34]) ).
fof(f54,plain,
! [X0] : X0 = join(complement(top),meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f16,f53]) ).
fof(f65,plain,
composition(top,top) = join(sk1,composition(complement(sk1),top)),
inference(paramodulation,[status(thm)],[f27,f44]) ).
fof(f259,plain,
! [X0] : X0 = join(zero,complement(join(complement(X0),complement(X0)))),
inference(paramodulation,[status(thm)],[f28,f34]) ).
fof(f260,plain,
! [X0] : X0 = join(zero,meet(X0,X0)),
inference(forward_demodulation,[status(thm)],[f19,f259]) ).
fof(f326,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(paramodulation,[status(thm)],[f27,f19]) ).
fof(f327,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f28,f326]) ).
fof(f328,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f16,f19]) ).
fof(f329,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f19,f328]) ).
fof(f334,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f19,f34]) ).
fof(f335,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f16,f334]) ).
fof(f358,plain,
! [X0] : X0 = join(zero,meet(X0,complement(complement(X0)))),
inference(backward_demodulation,[status(thm)],[f327,f54]) ).
fof(f359,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(paramodulation,[status(thm)],[f327,f19]) ).
fof(f360,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[status(thm)],[f16,f359]) ).
fof(f369,plain,
top = join(top,zero),
inference(paramodulation,[status(thm)],[f327,f27]) ).
fof(f435,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f329,f335]) ).
fof(f439,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f329,f335]) ).
fof(f441,plain,
! [X0] : X0 = join(meet(X0,top),meet(X0,zero)),
inference(paramodulation,[status(thm)],[f327,f335]) ).
fof(f452,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f329,f435]) ).
fof(f464,plain,
! [X0] : complement(complement(X0)) = join(meet(complement(complement(X0)),X0),zero),
inference(paramodulation,[status(thm)],[f28,f439]) ).
fof(f465,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(complement(complement(X0)),X0)),
inference(forward_demodulation,[status(thm)],[f16,f464]) ).
fof(f466,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f329,f465]) ).
fof(f467,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f358,f466]) ).
fof(f483,plain,
! [X0,X1] : join(X0,join(X1,complement(join(X0,X1)))) = top,
inference(paramodulation,[status(thm)],[f27,f17]) ).
fof(f484,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(paramodulation,[status(thm)],[f16,f17]) ).
fof(f489,plain,
! [X0] : join(top,join(zero,X0)) = join(top,X0),
inference(paramodulation,[status(thm)],[f369,f17]) ).
fof(f499,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(paramodulation,[status(thm)],[f27,f17]) ).
fof(f500,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(paramodulation,[status(thm)],[f16,f17]) ).
fof(f501,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(forward_demodulation,[status(thm)],[f17,f500]) ).
fof(f518,plain,
! [X0,X1] : converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(paramodulation,[status(thm)],[f23,f24]) ).
fof(f525,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f23,f25]) ).
fof(f670,plain,
complement(zero) = top,
inference(paramodulation,[status(thm)],[f327,f467]) ).
fof(f672,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X0),complement(X1)),
inference(paramodulation,[status(thm)],[f19,f467]) ).
fof(f679,plain,
! [X0] : meet(complement(X0),top) = complement(join(zero,X0)),
inference(paramodulation,[status(thm)],[f467,f360]) ).
fof(f680,plain,
! [X0] : meet(top,complement(X0)) = complement(join(zero,X0)),
inference(forward_demodulation,[status(thm)],[f329,f679]) ).
fof(f681,plain,
! [X0,X1] : meet(X0,complement(X1)) = complement(join(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f467,f19]) ).
fof(f682,plain,
! [X0,X1] : meet(complement(X0),X1) = complement(join(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f467,f19]) ).
fof(f685,plain,
! [X0,X1] : complement(X0) = join(meet(complement(X0),X1),complement(join(X0,X1))),
inference(paramodulation,[status(thm)],[f467,f34]) ).
fof(f686,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),meet(complement(X0),X1)),
inference(forward_demodulation,[status(thm)],[f16,f685]) ).
fof(f714,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X1),complement(X0)),
inference(paramodulation,[status(thm)],[f16,f672]) ).
fof(f715,plain,
! [X0,X1] : complement(meet(X0,X1)) = complement(meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f672,f714]) ).
fof(f718,plain,
! [X0,X1] : complement(meet(complement(X0),X1)) = join(X0,complement(X1)),
inference(paramodulation,[status(thm)],[f467,f672]) ).
fof(f719,plain,
! [X0] : complement(meet(top,X0)) = join(zero,complement(X0)),
inference(paramodulation,[status(thm)],[f327,f672]) ).
fof(f720,plain,
! [X0,X1] : complement(meet(X0,complement(X1))) = join(complement(X0),X1),
inference(paramodulation,[status(thm)],[f467,f672]) ).
fof(f754,plain,
! [X0] : join(top,X0) = join(top,meet(X0,X0)),
inference(paramodulation,[status(thm)],[f260,f489]) ).
fof(f779,plain,
! [X0,X1] : meet(complement(X0),complement(X1)) = complement(join(X0,X1)),
inference(paramodulation,[status(thm)],[f467,f681]) ).
fof(f793,plain,
! [X0,X1] : join(X0,complement(meet(X0,X1))) = join(top,complement(X1)),
inference(paramodulation,[status(thm)],[f672,f499]) ).
fof(f798,plain,
! [X0,X1] : join(X0,join(X1,complement(X0))) = join(top,X1),
inference(paramodulation,[status(thm)],[f16,f499]) ).
fof(f815,plain,
! [X0,X1] : meet(X0,complement(join(complement(complement(X0)),X1))) = complement(join(top,X1)),
inference(paramodulation,[status(thm)],[f499,f681]) ).
fof(f816,plain,
! [X0,X1] : meet(X0,meet(complement(X0),complement(X1))) = complement(join(top,X1)),
inference(forward_demodulation,[status(thm)],[f681,f815]) ).
fof(f817,plain,
! [X0,X1] : meet(X0,complement(join(X0,X1))) = complement(join(top,X1)),
inference(forward_demodulation,[status(thm)],[f779,f816]) ).
fof(f829,plain,
! [X0,X1,X2] : meet(complement(join(X0,X1)),X2) = complement(join(X0,join(X1,complement(X2)))),
inference(paramodulation,[status(thm)],[f17,f682]) ).
fof(f838,plain,
! [X0,X1,X2] : meet(complement(X0),join(complement(X1),X2)) = complement(join(X0,meet(X1,complement(X2)))),
inference(paramodulation,[status(thm)],[f681,f682]) ).
fof(f853,plain,
! [X0,X1,X2] : complement(meet(X0,join(X1,complement(X2)))) = join(complement(X0),meet(complement(X1),X2)),
inference(paramodulation,[status(thm)],[f682,f672]) ).
fof(f897,plain,
! [X0] : complement(meet(zero,X0)) = join(top,complement(X0)),
inference(paramodulation,[status(thm)],[f327,f718]) ).
fof(f1142,plain,
! [X0,X1] : meet(X0,complement(join(X1,complement(join(complement(X0),X1))))) = complement(top),
inference(paramodulation,[status(thm)],[f483,f681]) ).
fof(f1143,plain,
! [X0,X1] : meet(X0,meet(complement(X1),join(complement(X0),X1))) = complement(top),
inference(forward_demodulation,[status(thm)],[f682,f1142]) ).
fof(f1144,plain,
! [X0,X1] : meet(X0,complement(join(X1,meet(X0,complement(X1))))) = complement(top),
inference(forward_demodulation,[status(thm)],[f838,f1143]) ).
fof(f1145,plain,
! [X0,X1] : meet(X0,complement(join(X1,meet(X0,complement(X1))))) = zero,
inference(forward_demodulation,[status(thm)],[f327,f1144]) ).
fof(f1160,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f21,f525]) ).
fof(f1161,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f23,f1160]) ).
fof(f1259,plain,
! [X0] : complement(meet(X0,zero)) = join(top,complement(X0)),
inference(paramodulation,[status(thm)],[f715,f897]) ).
fof(f1362,plain,
! [X0] : zero = meet(meet(X0,zero),join(top,complement(X0))),
inference(paramodulation,[status(thm)],[f1259,f28]) ).
fof(f1404,plain,
! [X0] : X0 = join(meet(X0,zero),meet(top,X0)),
inference(paramodulation,[status(thm)],[f670,f439]) ).
fof(f1461,plain,
! [X0,X1,X2] : meet(meet(X0,complement(X1)),complement(X2)) = complement(join(join(complement(X0),X1),X2)),
inference(paramodulation,[status(thm)],[f720,f681]) ).
fof(f1462,plain,
! [X0,X1,X2] : meet(meet(X0,complement(X1)),complement(X2)) = complement(join(complement(X0),join(X1,X2))),
inference(forward_demodulation,[status(thm)],[f17,f1461]) ).
fof(f1463,plain,
! [X0,X1,X2] : meet(meet(X0,complement(X1)),complement(X2)) = meet(X0,complement(join(X1,X2))),
inference(forward_demodulation,[status(thm)],[f681,f1462]) ).
fof(f1509,plain,
! [X0,X1] : meet(X0,complement(complement(meet(complement(X0),X1)))) = complement(join(top,complement(X1))),
inference(paramodulation,[status(thm)],[f793,f681]) ).
fof(f1510,plain,
! [X0,X1] : meet(X0,meet(complement(X0),X1)) = complement(join(top,complement(X1))),
inference(forward_demodulation,[status(thm)],[f467,f1509]) ).
fof(f1511,plain,
! [X0,X1] : meet(X0,meet(complement(X0),X1)) = meet(complement(top),X1),
inference(forward_demodulation,[status(thm)],[f682,f1510]) ).
fof(f1512,plain,
! [X0,X1] : meet(X0,meet(complement(X0),X1)) = meet(zero,X1),
inference(forward_demodulation,[status(thm)],[f327,f1511]) ).
fof(f1530,plain,
! [X0,X1] : meet(X0,meet(X1,complement(X0))) = meet(zero,X1),
inference(paramodulation,[status(thm)],[f329,f1512]) ).
fof(f1583,plain,
! [X0] : meet(top,meet(X0,zero)) = meet(zero,X0),
inference(paramodulation,[status(thm)],[f327,f1530]) ).
fof(f1589,plain,
! [X0,X1] : meet(X0,complement(complement(X1))) = join(meet(X1,meet(X0,complement(complement(X1)))),meet(zero,X0)),
inference(paramodulation,[status(thm)],[f1530,f452]) ).
fof(f1590,plain,
! [X0,X1] : meet(X0,X1) = join(meet(X1,meet(X0,complement(complement(X1)))),meet(zero,X0)),
inference(forward_demodulation,[status(thm)],[f467,f1589]) ).
fof(f1591,plain,
! [X0,X1] : meet(X0,X1) = join(meet(zero,X0),meet(X1,meet(X0,complement(complement(X1))))),
inference(forward_demodulation,[status(thm)],[f16,f1590]) ).
fof(f1592,plain,
! [X0,X1] : meet(X0,X1) = join(meet(zero,X0),meet(X1,meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f467,f1591]) ).
fof(f1680,plain,
meet(complement(top),complement(join(top,complement(top)))) = zero,
inference(paramodulation,[status(thm)],[f754,f1145]) ).
fof(f1681,plain,
complement(join(top,join(top,complement(top)))) = zero,
inference(forward_demodulation,[status(thm)],[f779,f1680]) ).
fof(f1682,plain,
meet(complement(join(top,top)),top) = zero,
inference(forward_demodulation,[status(thm)],[f829,f1681]) ).
fof(f1683,plain,
meet(top,complement(join(top,top))) = zero,
inference(forward_demodulation,[status(thm)],[f329,f1682]) ).
fof(f1684,plain,
complement(join(zero,join(top,top))) = zero,
inference(forward_demodulation,[status(thm)],[f680,f1683]) ).
fof(f1685,plain,
complement(join(top,join(zero,top))) = zero,
inference(forward_demodulation,[status(thm)],[f501,f1684]) ).
fof(f1686,plain,
complement(join(top,top)) = zero,
inference(forward_demodulation,[status(thm)],[f489,f1685]) ).
fof(f1693,plain,
! [X0,X1] : meet(X0,complement(join(X1,meet(complement(X1),X0)))) = zero,
inference(paramodulation,[status(thm)],[f329,f1145]) ).
fof(f1792,plain,
! [X0,X1] : join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = complement(converse(X0)),
inference(paramodulation,[status(thm)],[f25,f32]) ).
fof(f1793,plain,
! [X0,X1] : join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)),
inference(forward_demodulation,[status(thm)],[f23,f1792]) ).
fof(f1812,plain,
join(complement(top),composition(converse(sk1),complement(sk1))) = complement(top),
inference(paramodulation,[status(thm)],[f29,f32]) ).
fof(f1813,plain,
join(zero,composition(converse(sk1),complement(sk1))) = complement(top),
inference(forward_demodulation,[status(thm)],[f327,f1812]) ).
fof(f1814,plain,
join(zero,composition(converse(sk1),complement(sk1))) = zero,
inference(forward_demodulation,[status(thm)],[f327,f1813]) ).
fof(f2290,plain,
join(top,zero) = join(top,composition(converse(sk1),complement(sk1))),
inference(paramodulation,[status(thm)],[f1814,f489]) ).
fof(f2291,plain,
top = join(top,composition(converse(sk1),complement(sk1))),
inference(forward_demodulation,[status(thm)],[f369,f2290]) ).
fof(f2299,plain,
! [X0] : join(top,join(composition(converse(sk1),complement(sk1)),X0)) = join(X0,top),
inference(paramodulation,[status(thm)],[f2291,f484]) ).
fof(f2341,plain,
join(top,top) = join(complement(composition(converse(sk1),complement(sk1))),top),
inference(paramodulation,[status(thm)],[f27,f2299]) ).
fof(f2342,plain,
join(top,top) = join(top,complement(composition(converse(sk1),complement(sk1)))),
inference(forward_demodulation,[status(thm)],[f16,f2341]) ).
fof(f2378,plain,
meet(complement(top),composition(converse(sk1),complement(sk1))) = complement(join(top,top)),
inference(paramodulation,[status(thm)],[f2342,f682]) ).
fof(f2379,plain,
meet(zero,composition(converse(sk1),complement(sk1))) = complement(join(top,top)),
inference(forward_demodulation,[status(thm)],[f327,f2378]) ).
fof(f2380,plain,
meet(zero,composition(converse(sk1),complement(sk1))) = zero,
inference(forward_demodulation,[status(thm)],[f1686,f2379]) ).
fof(f2390,plain,
complement(zero) = join(top,complement(composition(converse(sk1),complement(sk1)))),
inference(paramodulation,[status(thm)],[f2380,f897]) ).
fof(f2391,plain,
top = join(top,complement(composition(converse(sk1),complement(sk1)))),
inference(forward_demodulation,[status(thm)],[f670,f2390]) ).
fof(f2392,plain,
top = join(top,top),
inference(forward_demodulation,[status(thm)],[f2342,f2391]) ).
fof(f2508,plain,
! [X0] : join(top,join(top,X0)) = join(X0,top),
inference(paramodulation,[status(thm)],[f2392,f484]) ).
fof(f3000,plain,
! [X0,X1] : meet(meet(X0,complement(complement(X1))),complement(join(X1,meet(zero,X0)))) = zero,
inference(paramodulation,[status(thm)],[f1530,f1693]) ).
fof(f3001,plain,
! [X0,X1] : meet(X0,complement(join(complement(X1),join(X1,meet(zero,X0))))) = zero,
inference(forward_demodulation,[status(thm)],[f1463,f3000]) ).
fof(f3002,plain,
! [X0,X1] : meet(X0,meet(X1,complement(join(X1,meet(zero,X0))))) = zero,
inference(forward_demodulation,[status(thm)],[f681,f3001]) ).
fof(f3003,plain,
! [X0] : meet(X0,complement(join(top,meet(zero,X0)))) = zero,
inference(forward_demodulation,[status(thm)],[f817,f3002]) ).
fof(f3070,plain,
! [X0,X1] : complement(zero) = join(complement(X0),join(X1,meet(complement(X1),X0))),
inference(paramodulation,[status(thm)],[f1693,f720]) ).
fof(f3071,plain,
! [X0,X1] : top = join(complement(X0),join(X1,meet(complement(X1),X0))),
inference(forward_demodulation,[status(thm)],[f670,f3070]) ).
fof(f3072,plain,
! [X0,X1] : X0 = join(meet(join(X1,meet(complement(X1),X0)),X0),zero),
inference(paramodulation,[status(thm)],[f1693,f435]) ).
fof(f3073,plain,
! [X0,X1] : X0 = join(zero,meet(join(X1,meet(complement(X1),X0)),X0)),
inference(forward_demodulation,[status(thm)],[f16,f3072]) ).
fof(f3074,plain,
! [X0,X1] : X0 = join(zero,meet(X0,join(X1,meet(complement(X1),X0)))),
inference(forward_demodulation,[status(thm)],[f329,f3073]) ).
fof(f3476,plain,
! [X0] : top = join(complement(X0),join(zero,meet(top,X0))),
inference(paramodulation,[status(thm)],[f670,f3071]) ).
fof(f3477,plain,
! [X0] : top = join(zero,join(meet(top,X0),complement(X0))),
inference(forward_demodulation,[status(thm)],[f484,f3476]) ).
fof(f3478,plain,
! [X0] : top = join(zero,join(complement(X0),meet(top,X0))),
inference(forward_demodulation,[status(thm)],[f16,f3477]) ).
fof(f4045,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,X0))),
inference(paramodulation,[status(thm)],[f779,f260]) ).
fof(f4072,plain,
! [X0] : join(join(X0,X0),complement(X0)) = join(top,zero),
inference(paramodulation,[status(thm)],[f4045,f798]) ).
fof(f4073,plain,
! [X0] : join(X0,join(X0,complement(X0))) = join(top,zero),
inference(forward_demodulation,[status(thm)],[f17,f4072]) ).
fof(f4074,plain,
! [X0] : join(top,X0) = join(top,zero),
inference(forward_demodulation,[status(thm)],[f798,f4073]) ).
fof(f4075,plain,
! [X0] : join(top,X0) = top,
inference(forward_demodulation,[status(thm)],[f369,f4074]) ).
fof(f4099,plain,
! [X0] : top = join(X0,top),
inference(backward_demodulation,[status(thm)],[f4075,f2508]) ).
fof(f4139,plain,
! [X0] : meet(X0,complement(top)) = zero,
inference(backward_demodulation,[status(thm)],[f4075,f3003]) ).
fof(f4140,plain,
! [X0] : meet(X0,zero) = zero,
inference(forward_demodulation,[status(thm)],[f327,f4139]) ).
fof(f4236,plain,
! [X0] : zero = meet(meet(X0,zero),top),
inference(backward_demodulation,[status(thm)],[f4075,f1362]) ).
fof(f4237,plain,
! [X0] : zero = meet(top,meet(X0,zero)),
inference(forward_demodulation,[status(thm)],[f329,f4236]) ).
fof(f4238,plain,
! [X0] : zero = meet(zero,X0),
inference(forward_demodulation,[status(thm)],[f1583,f4237]) ).
fof(f4402,plain,
! [X0] : X0 = join(zero,meet(top,X0)),
inference(backward_demodulation,[status(thm)],[f4140,f1404]) ).
fof(f4405,plain,
! [X0] : X0 = join(meet(X0,top),zero),
inference(backward_demodulation,[status(thm)],[f4140,f441]) ).
fof(f4406,plain,
! [X0] : X0 = join(zero,meet(X0,top)),
inference(forward_demodulation,[status(thm)],[f16,f4405]) ).
fof(f4435,plain,
! [X0,X1] : meet(X0,X1) = join(zero,meet(X1,meet(X0,X1))),
inference(backward_demodulation,[status(thm)],[f4238,f1592]) ).
fof(f6812,plain,
! [X0] : complement(zero) = join(complement(top),meet(complement(zero),join(complement(X0),meet(top,X0)))),
inference(paramodulation,[status(thm)],[f3478,f686]) ).
fof(f6813,plain,
! [X0] : top = join(complement(top),meet(complement(zero),join(complement(X0),meet(top,X0)))),
inference(forward_demodulation,[status(thm)],[f670,f6812]) ).
fof(f6814,plain,
! [X0] : top = join(zero,meet(complement(zero),join(complement(X0),meet(top,X0)))),
inference(forward_demodulation,[status(thm)],[f327,f6813]) ).
fof(f6815,plain,
! [X0] : top = join(zero,complement(join(zero,meet(X0,complement(meet(top,X0)))))),
inference(forward_demodulation,[status(thm)],[f838,f6814]) ).
fof(f6816,plain,
! [X0] : top = join(zero,complement(join(zero,meet(X0,join(zero,complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f719,f6815]) ).
fof(f6897,plain,
! [X0] : complement(X0) = join(complement(join(X0,zero)),zero),
inference(paramodulation,[status(thm)],[f4140,f686]) ).
fof(f6898,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,zero))),
inference(forward_demodulation,[status(thm)],[f16,f6897]) ).
fof(f6983,plain,
! [X0] : complement(X0) = join(zero,complement(join(zero,X0))),
inference(paramodulation,[status(thm)],[f16,f6898]) ).
fof(f6988,plain,
! [X0] : meet(complement(zero),join(X0,zero)) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f6898,f682]) ).
fof(f6989,plain,
! [X0] : meet(top,join(X0,zero)) = complement(complement(X0)),
inference(forward_demodulation,[status(thm)],[f670,f6988]) ).
fof(f6990,plain,
! [X0] : meet(top,join(X0,zero)) = X0,
inference(forward_demodulation,[status(thm)],[f467,f6989]) ).
fof(f7009,plain,
! [X0] : top = complement(meet(X0,join(zero,complement(X0)))),
inference(backward_demodulation,[status(thm)],[f6983,f6816]) ).
fof(f7010,plain,
! [X0] : top = join(complement(X0),meet(complement(zero),X0)),
inference(forward_demodulation,[status(thm)],[f853,f7009]) ).
fof(f7011,plain,
! [X0] : top = join(complement(X0),meet(top,X0)),
inference(forward_demodulation,[status(thm)],[f670,f7010]) ).
fof(f7057,plain,
! [X0] : complement(complement(X0)) = join(complement(top),meet(complement(complement(X0)),meet(top,X0))),
inference(paramodulation,[status(thm)],[f7011,f686]) ).
fof(f7058,plain,
! [X0] : X0 = join(complement(top),meet(complement(complement(X0)),meet(top,X0))),
inference(forward_demodulation,[status(thm)],[f467,f7057]) ).
fof(f7059,plain,
! [X0] : X0 = join(zero,meet(complement(complement(X0)),meet(top,X0))),
inference(forward_demodulation,[status(thm)],[f327,f7058]) ).
fof(f7060,plain,
! [X0] : X0 = join(zero,meet(X0,meet(top,X0))),
inference(forward_demodulation,[status(thm)],[f467,f7059]) ).
fof(f7061,plain,
! [X0] : X0 = meet(top,X0),
inference(forward_demodulation,[status(thm)],[f4435,f7060]) ).
fof(f7103,plain,
! [X0] : join(X0,zero) = X0,
inference(backward_demodulation,[status(thm)],[f7061,f6990]) ).
fof(f7122,plain,
! [X0] : X0 = join(zero,X0),
inference(backward_demodulation,[status(thm)],[f7061,f4402]) ).
fof(f7176,plain,
composition(converse(sk1),complement(sk1)) = zero,
inference(backward_demodulation,[status(thm)],[f7122,f1814]) ).
fof(f7212,plain,
! [X0,X1] : X0 = meet(X0,join(X1,meet(complement(X1),X0))),
inference(backward_demodulation,[status(thm)],[f7122,f3074]) ).
fof(f7213,plain,
! [X0] : X0 = meet(X0,top),
inference(backward_demodulation,[status(thm)],[f7122,f4406]) ).
fof(f7876,plain,
! [X0] : converse(converse(X0)) = join(converse(zero),X0),
inference(paramodulation,[status(thm)],[f7122,f518]) ).
fof(f7877,plain,
! [X0] : X0 = join(converse(zero),X0),
inference(forward_demodulation,[status(thm)],[f23,f7876]) ).
fof(f8019,plain,
zero = converse(zero),
inference(paramodulation,[status(thm)],[f7103,f7877]) ).
fof(f8629,plain,
! [X0,X1] : complement(complement(X0)) = join(X0,complement(join(X1,meet(complement(X1),complement(X0))))),
inference(paramodulation,[status(thm)],[f7212,f718]) ).
fof(f8630,plain,
! [X0,X1] : X0 = join(X0,complement(join(X1,meet(complement(X1),complement(X0))))),
inference(forward_demodulation,[status(thm)],[f467,f8629]) ).
fof(f8631,plain,
! [X0,X1] : X0 = join(X0,complement(join(X1,complement(join(X1,X0))))),
inference(forward_demodulation,[status(thm)],[f779,f8630]) ).
fof(f8632,plain,
! [X0,X1] : X0 = join(X0,meet(complement(X1),join(X1,X0))),
inference(forward_demodulation,[status(thm)],[f682,f8631]) ).
fof(f9785,plain,
join(complement(converse(converse(sk1))),composition(complement(sk1),complement(converse(zero)))) = complement(converse(converse(sk1))),
inference(paramodulation,[status(thm)],[f7176,f1793]) ).
fof(f9786,plain,
join(complement(sk1),composition(complement(sk1),complement(converse(zero)))) = complement(converse(converse(sk1))),
inference(forward_demodulation,[status(thm)],[f23,f9785]) ).
fof(f9787,plain,
join(complement(sk1),composition(complement(sk1),complement(zero))) = complement(converse(converse(sk1))),
inference(forward_demodulation,[status(thm)],[f8019,f9786]) ).
fof(f9788,plain,
join(complement(sk1),composition(complement(sk1),top)) = complement(converse(converse(sk1))),
inference(forward_demodulation,[status(thm)],[f670,f9787]) ).
fof(f9789,plain,
join(complement(sk1),composition(complement(sk1),top)) = complement(sk1),
inference(forward_demodulation,[status(thm)],[f23,f9788]) ).
fof(f10700,plain,
composition(complement(sk1),top) = join(composition(complement(sk1),top),meet(complement(sk1),composition(top,top))),
inference(paramodulation,[status(thm)],[f65,f8632]) ).
fof(f18397,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f21,f1161]) ).
fof(f18604,plain,
! [X0,X1] : composition(join(converse(one),X0),X1) = join(X1,composition(X0,X1)),
inference(paramodulation,[status(thm)],[f1161,f22]) ).
fof(f18605,plain,
! [X0,X1] : composition(join(one,X0),X1) = join(X1,composition(X0,X1)),
inference(forward_demodulation,[status(thm)],[f18397,f18604]) ).
fof(f19069,plain,
! [X0] : composition(top,X0) = join(X0,composition(top,X0)),
inference(paramodulation,[status(thm)],[f4099,f18605]) ).
fof(f19316,plain,
composition(top,top) = top,
inference(paramodulation,[status(thm)],[f4075,f19069]) ).
fof(f19526,plain,
composition(complement(sk1),top) = join(composition(complement(sk1),top),meet(complement(sk1),top)),
inference(backward_demodulation,[status(thm)],[f19316,f10700]) ).
fof(f19527,plain,
composition(complement(sk1),top) = join(meet(complement(sk1),top),composition(complement(sk1),top)),
inference(forward_demodulation,[status(thm)],[f16,f19526]) ).
fof(f19528,plain,
composition(complement(sk1),top) = join(complement(sk1),composition(complement(sk1),top)),
inference(forward_demodulation,[status(thm)],[f7213,f19527]) ).
fof(f19529,plain,
composition(complement(sk1),top) = complement(sk1),
inference(forward_demodulation,[status(thm)],[f9789,f19528]) ).
fof(f19530,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f19529,f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : REL018-1 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34 % Computer : n025.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Tue May 30 10:15:27 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.16/0.34 % Drodi V3.5.1
% 4.29/1.00 % Refutation found
% 4.29/1.00 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.29/1.00 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.29/1.03 % Elapsed time: 0.692610 seconds
% 4.29/1.03 % CPU time: 4.838787 seconds
% 4.29/1.03 % Memory used: 64.215 MB
%------------------------------------------------------------------------------