TSTP Solution File: REL043-2 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : REL043-2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n003.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 20:37:35 EDT 2024

% Result   : Unsatisfiable 10.42s 1.67s
% Output   : CNFRefutation 10.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :   15
% Syntax   : Number of formulae    :  168 ( 168 unt;   0 def)
%            Number of atoms       :  168 ( 167 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   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    :   11 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :  189 ( 189   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B] : join(A,B) = join(B,A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [A,B,C] : join(A,join(B,C)) = join(join(A,B),C),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [A,B] : A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [A,B] : meet(A,B) = complement(join(complement(A),complement(B))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [A] : composition(A,one) = A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [A,B,C] : composition(join(A,B),C) = join(composition(A,C),composition(B,C)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [A] : converse(converse(A)) = A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [A,B] : converse(join(A,B)) = join(converse(A),converse(B)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [A,B] : converse(composition(A,B)) = composition(converse(B),converse(A)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [A,B] : join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [A] : top = join(A,complement(A)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [A] : zero = meet(A,complement(A)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ! [A,B,C] : join(meet(composition(A,B),C),meet(composition(meet(A,composition(C,converse(B))),B),C)) = meet(composition(meet(A,composition(C,converse(B))),B),C),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,negated_conjecture,
    join(composition(sk1,converse(sk2)),sk3) = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,negated_conjecture,
    join(composition(complement(sk3),sk2),complement(sk1)) != complement(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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(f34,plain,
    ! [X0,X1,X2] : join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)) = meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f35,plain,
    join(composition(sk1,converse(sk2)),sk3) = sk3,
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f36,plain,
    join(composition(complement(sk3),sk2),complement(sk1)) != complement(sk1),
    inference(cnf_transformation,[status(esa)],[f18]) ).

fof(f37,plain,
    ! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
    inference(forward_demodulation,[status(thm)],[f19,f29]) ).

fof(f38,plain,
    join(complement(sk1),composition(complement(sk3),sk2)) != complement(sk1),
    inference(forward_demodulation,[status(thm)],[f19,f36]) ).

fof(f39,plain,
    ! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
    inference(backward_demodulation,[status(thm)],[f22,f21]) ).

fof(f40,plain,
    ! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f19,f39]) ).

fof(f50,plain,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
    inference(paramodulation,[status(thm)],[f19,f20]) ).

fof(f55,plain,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
    inference(paramodulation,[status(thm)],[f19,f20]) ).

fof(f59,plain,
    ! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
    inference(paramodulation,[status(thm)],[f19,f22]) ).

fof(f60,plain,
    ! [X0,X1] : meet(X0,X1) = meet(X1,X0),
    inference(forward_demodulation,[status(thm)],[f22,f59]) ).

fof(f66,plain,
    ! [X0,X1] : converse(composition(X0,converse(X1))) = composition(X1,converse(X0)),
    inference(paramodulation,[status(thm)],[f26,f28]) ).

fof(f67,plain,
    ! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
    inference(paramodulation,[status(thm)],[f26,f28]) ).

fof(f81,plain,
    ! [X0,X1] : converse(join(X0,X1)) = join(converse(X1),converse(X0)),
    inference(paramodulation,[status(thm)],[f19,f27]) ).

fof(f82,plain,
    ! [X0,X1] : converse(join(X0,X1)) = converse(join(X1,X0)),
    inference(forward_demodulation,[status(thm)],[f27,f81]) ).

fof(f85,plain,
    ! [X0,X1,X2] : converse(join(composition(X0,converse(X1)),X2)) = join(composition(X1,converse(X0)),converse(X2)),
    inference(paramodulation,[status(thm)],[f66,f27]) ).

fof(f86,plain,
    ! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
    inference(paramodulation,[status(thm)],[f26,f27]) ).

fof(f89,plain,
    ! [X0,X1] : converse(join(X0,converse(X1))) = join(converse(X0),X1),
    inference(paramodulation,[status(thm)],[f26,f27]) ).

fof(f171,plain,
    ! [X0,X1] : join(complement(X0),X1) = join(complement(X0),meet(join(complement(X0),X1),meet(X0,X1))),
    inference(paramodulation,[status(thm)],[f40,f40]) ).

fof(f227,plain,
    ! [X0,X1] : join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = complement(converse(X0)),
    inference(paramodulation,[status(thm)],[f28,f37]) ).

fof(f228,plain,
    ! [X0,X1] : join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)),
    inference(forward_demodulation,[status(thm)],[f26,f227]) ).

fof(f234,plain,
    ! [X0] : converse(converse(X0)) = composition(converse(one),X0),
    inference(paramodulation,[status(thm)],[f24,f67]) ).

fof(f235,plain,
    ! [X0] : X0 = composition(converse(one),X0),
    inference(forward_demodulation,[status(thm)],[f26,f234]) ).

fof(f251,plain,
    ! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
    inference(paramodulation,[status(thm)],[f30,f86]) ).

fof(f253,plain,
    ! [X0] : meet(X0,complement(X0)) = complement(top),
    inference(paramodulation,[status(thm)],[f30,f22]) ).

fof(f254,plain,
    zero = complement(top),
    inference(forward_demodulation,[status(thm)],[f31,f253]) ).

fof(f255,plain,
    ! [X0] : X0 = join(complement(top),meet(X0,complement(complement(X0)))),
    inference(paramodulation,[status(thm)],[f30,f40]) ).

fof(f256,plain,
    ! [X0] : X0 = join(zero,meet(X0,complement(complement(X0)))),
    inference(forward_demodulation,[status(thm)],[f254,f255]) ).

fof(f257,plain,
    ! [X0] : X0 = join(meet(X0,complement(complement(X0))),zero),
    inference(forward_demodulation,[status(thm)],[f19,f256]) ).

fof(f261,plain,
    ! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
    inference(paramodulation,[status(thm)],[f30,f20]) ).

fof(f262,plain,
    top = join(top,zero),
    inference(paramodulation,[status(thm)],[f254,f30]) ).

fof(f269,plain,
    ! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
    inference(paramodulation,[status(thm)],[f254,f22]) ).

fof(f276,plain,
    one = converse(one),
    inference(paramodulation,[status(thm)],[f24,f235]) ).

fof(f284,plain,
    ! [X0] : join(complement(X0),composition(converse(converse(one)),complement(X0))) = complement(X0),
    inference(paramodulation,[status(thm)],[f235,f37]) ).

fof(f285,plain,
    ! [X0] : join(complement(X0),composition(one,complement(X0))) = complement(X0),
    inference(forward_demodulation,[status(thm)],[f26,f284]) ).

fof(f286,plain,
    ! [X0,X1] : composition(join(X0,converse(one)),X1) = join(composition(X0,X1),X1),
    inference(paramodulation,[status(thm)],[f235,f25]) ).

fof(f287,plain,
    ! [X0,X1] : composition(join(X0,one),X1) = join(composition(X0,X1),X1),
    inference(forward_demodulation,[status(thm)],[f276,f286]) ).

fof(f291,plain,
    ! [X0] : X0 = composition(one,X0),
    inference(backward_demodulation,[status(thm)],[f276,f235]) ).

fof(f292,plain,
    ! [X0] : join(complement(X0),complement(X0)) = complement(X0),
    inference(backward_demodulation,[status(thm)],[f291,f285]) ).

fof(f346,plain,
    ! [X0] : X0 = join(complement(complement(X0)),meet(X0,complement(X0))),
    inference(paramodulation,[status(thm)],[f292,f40]) ).

fof(f347,plain,
    ! [X0] : X0 = join(complement(complement(X0)),zero),
    inference(forward_demodulation,[status(thm)],[f31,f346]) ).

fof(f365,plain,
    ! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(meet(X0,X1)),zero),
    inference(paramodulation,[status(thm)],[f22,f347]) ).

fof(f366,plain,
    ! [X0] : complement(X0) = join(complement(X0),meet(complement(X0),zero)),
    inference(paramodulation,[status(thm)],[f347,f40]) ).

fof(f387,plain,
    top = join(meet(top,complement(zero)),zero),
    inference(paramodulation,[status(thm)],[f254,f257]) ).

fof(f388,plain,
    top = join(meet(complement(zero),top),zero),
    inference(forward_demodulation,[status(thm)],[f60,f387]) ).

fof(f712,plain,
    ! [X0] : join(complement(X0),X0) = join(top,zero),
    inference(paramodulation,[status(thm)],[f347,f261]) ).

fof(f713,plain,
    ! [X0] : join(complement(X0),X0) = top,
    inference(forward_demodulation,[status(thm)],[f262,f712]) ).

fof(f718,plain,
    ! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
    inference(paramodulation,[status(thm)],[f292,f261]) ).

fof(f719,plain,
    ! [X0] : top = join(top,complement(X0)),
    inference(forward_demodulation,[status(thm)],[f30,f718]) ).

fof(f720,plain,
    ! [X0] : top = join(complement(X0),top),
    inference(forward_demodulation,[status(thm)],[f19,f719]) ).

fof(f724,plain,
    ! [X0] : join(X0,converse(top)) = join(top,converse(complement(converse(complement(X0))))),
    inference(paramodulation,[status(thm)],[f251,f261]) ).

fof(f725,plain,
    ! [X0] : join(X0,converse(top)) = join(converse(complement(converse(complement(X0)))),top),
    inference(forward_demodulation,[status(thm)],[f19,f724]) ).

fof(f726,plain,
    ! [X0] : join(X0,top) = join(top,complement(complement(X0))),
    inference(paramodulation,[status(thm)],[f30,f261]) ).

fof(f727,plain,
    ! [X0] : join(X0,top) = join(complement(complement(X0)),top),
    inference(forward_demodulation,[status(thm)],[f19,f726]) ).

fof(f728,plain,
    ! [X0] : join(X0,top) = top,
    inference(forward_demodulation,[status(thm)],[f720,f727]) ).

fof(f741,plain,
    ! [X0,X1] : X0 = join(complement(join(top,X1)),meet(X0,join(complement(complement(X0)),X1))),
    inference(paramodulation,[status(thm)],[f261,f40]) ).

fof(f747,plain,
    ! [X0] : join(X0,converse(top)) = top,
    inference(backward_demodulation,[status(thm)],[f728,f725]) ).

fof(f754,plain,
    ! [X0] : join(top,X0) = top,
    inference(paramodulation,[status(thm)],[f19,f728]) ).

fof(f756,plain,
    ! [X0] : converse(top) = join(X0,converse(top)),
    inference(paramodulation,[status(thm)],[f728,f86]) ).

fof(f757,plain,
    converse(top) = top,
    inference(forward_demodulation,[status(thm)],[f747,f756]) ).

fof(f762,plain,
    ! [X0] : X0 = join(complement(top),meet(X0,top)),
    inference(paramodulation,[status(thm)],[f728,f40]) ).

fof(f763,plain,
    ! [X0] : X0 = join(zero,meet(X0,top)),
    inference(forward_demodulation,[status(thm)],[f254,f762]) ).

fof(f764,plain,
    ! [X0] : X0 = join(meet(X0,top),zero),
    inference(forward_demodulation,[status(thm)],[f19,f763]) ).

fof(f772,plain,
    ! [X0,X1] : X0 = join(complement(top),meet(X0,join(complement(complement(X0)),X1))),
    inference(backward_demodulation,[status(thm)],[f754,f741]) ).

fof(f773,plain,
    ! [X0,X1] : X0 = join(zero,meet(X0,join(complement(complement(X0)),X1))),
    inference(forward_demodulation,[status(thm)],[f254,f772]) ).

fof(f774,plain,
    ! [X0,X1] : X0 = join(meet(X0,join(complement(complement(X0)),X1)),zero),
    inference(forward_demodulation,[status(thm)],[f19,f773]) ).

fof(f805,plain,
    top = complement(zero),
    inference(backward_demodulation,[status(thm)],[f764,f388]) ).

fof(f871,plain,
    ! [X0] : meet(X0,zero) = complement(join(complement(X0),top)),
    inference(paramodulation,[status(thm)],[f805,f22]) ).

fof(f872,plain,
    ! [X0] : meet(X0,zero) = complement(top),
    inference(forward_demodulation,[status(thm)],[f728,f871]) ).

fof(f873,plain,
    ! [X0] : meet(X0,zero) = zero,
    inference(forward_demodulation,[status(thm)],[f254,f872]) ).

fof(f874,plain,
    ! [X0] : meet(zero,X0) = complement(join(top,complement(X0))),
    inference(paramodulation,[status(thm)],[f805,f22]) ).

fof(f875,plain,
    ! [X0] : meet(zero,X0) = complement(join(complement(X0),top)),
    inference(forward_demodulation,[status(thm)],[f19,f874]) ).

fof(f876,plain,
    ! [X0] : meet(zero,X0) = complement(top),
    inference(forward_demodulation,[status(thm)],[f728,f875]) ).

fof(f877,plain,
    ! [X0] : meet(zero,X0) = zero,
    inference(forward_demodulation,[status(thm)],[f254,f876]) ).

fof(f878,plain,
    ! [X0] : complement(X0) = join(complement(X0),zero),
    inference(backward_demodulation,[status(thm)],[f873,f366]) ).

fof(f885,plain,
    ! [X0] : X0 = complement(complement(X0)),
    inference(backward_demodulation,[status(thm)],[f878,f347]) ).

fof(f886,plain,
    ! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
    inference(backward_demodulation,[status(thm)],[f878,f365]) ).

fof(f890,plain,
    ! [X0] : meet(X0,top) = complement(complement(X0)),
    inference(backward_demodulation,[status(thm)],[f878,f269]) ).

fof(f891,plain,
    ! [X0] : meet(X0,top) = X0,
    inference(forward_demodulation,[status(thm)],[f885,f890]) ).

fof(f909,plain,
    ! [X0,X1] : X0 = join(meet(X0,join(X0,X1)),zero),
    inference(backward_demodulation,[status(thm)],[f885,f774]) ).

fof(f923,plain,
    ! [X0] : X0 = join(X0,zero),
    inference(backward_demodulation,[status(thm)],[f891,f764]) ).

fof(f925,plain,
    ! [X0,X1] : X0 = meet(X0,join(X0,X1)),
    inference(backward_demodulation,[status(thm)],[f923,f909]) ).

fof(f947,plain,
    ! [X0] : X0 = join(zero,X0),
    inference(paramodulation,[status(thm)],[f19,f923]) ).

fof(f949,plain,
    ! [X0] : converse(converse(X0)) = join(X0,converse(zero)),
    inference(paramodulation,[status(thm)],[f923,f86]) ).

fof(f950,plain,
    ! [X0] : X0 = join(X0,converse(zero)),
    inference(forward_demodulation,[status(thm)],[f26,f949]) ).

fof(f1336,plain,
    zero = converse(zero),
    inference(paramodulation,[status(thm)],[f947,f950]) ).

fof(f1478,plain,
    ! [X0,X1] : X0 = meet(X0,join(X1,X0)),
    inference(paramodulation,[status(thm)],[f19,f925]) ).

fof(f1502,plain,
    ! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
    inference(paramodulation,[status(thm)],[f40,f1478]) ).

fof(f1656,plain,
    ! [X0,X1] : meet(X0,X1) = meet(meet(X1,X0),X0),
    inference(paramodulation,[status(thm)],[f60,f1502]) ).

fof(f1767,plain,
    ! [X0,X1] : meet(join(X0,X1),X1) = meet(X1,join(X0,X1)),
    inference(paramodulation,[status(thm)],[f1478,f1656]) ).

fof(f1768,plain,
    ! [X0,X1] : meet(join(X0,X1),X1) = X1,
    inference(forward_demodulation,[status(thm)],[f1478,f1767]) ).

fof(f1993,plain,
    converse(sk3) = converse(join(sk3,composition(sk1,converse(sk2)))),
    inference(paramodulation,[status(thm)],[f35,f82]) ).

fof(f1994,plain,
    converse(sk3) = converse(join(composition(sk1,converse(sk2)),sk3)),
    inference(forward_demodulation,[status(thm)],[f82,f1993]) ).

fof(f1995,plain,
    converse(sk3) = join(composition(sk2,converse(sk1)),converse(sk3)),
    inference(forward_demodulation,[status(thm)],[f85,f1994]) ).

fof(f2195,plain,
    ! [X0] : join(X0,converse(sk3)) = join(converse(sk3),join(X0,composition(sk2,converse(sk1)))),
    inference(paramodulation,[status(thm)],[f1995,f50]) ).

fof(f2196,plain,
    ! [X0] : join(X0,converse(sk3)) = join(join(X0,converse(sk3)),composition(sk2,converse(sk1))),
    inference(forward_demodulation,[status(thm)],[f55,f2195]) ).

fof(f2301,plain,
    ! [X0] : join(converse(X0),converse(sk3)) = join(converse(join(X0,sk3)),composition(sk2,converse(sk1))),
    inference(paramodulation,[status(thm)],[f27,f2196]) ).

fof(f2302,plain,
    ! [X0] : converse(join(X0,sk3)) = join(converse(join(X0,sk3)),composition(sk2,converse(sk1))),
    inference(forward_demodulation,[status(thm)],[f27,f2301]) ).

fof(f2303,plain,
    ! [X0] : converse(join(X0,sk3)) = join(composition(sk2,converse(sk1)),converse(join(X0,sk3))),
    inference(forward_demodulation,[status(thm)],[f19,f2302]) ).

fof(f2378,plain,
    ! [X0] : converse(converse(join(X0,sk3))) = join(converse(composition(sk2,converse(sk1))),join(X0,sk3)),
    inference(paramodulation,[status(thm)],[f2303,f89]) ).

fof(f2379,plain,
    ! [X0] : join(X0,sk3) = join(converse(composition(sk2,converse(sk1))),join(X0,sk3)),
    inference(forward_demodulation,[status(thm)],[f26,f2378]) ).

fof(f2380,plain,
    ! [X0] : join(X0,sk3) = join(join(X0,converse(composition(sk2,converse(sk1)))),sk3),
    inference(forward_demodulation,[status(thm)],[f55,f2379]) ).

fof(f2381,plain,
    ! [X0] : join(X0,sk3) = join(join(X0,composition(sk1,converse(sk2))),sk3),
    inference(forward_demodulation,[status(thm)],[f66,f2380]) ).

fof(f2675,plain,
    ! [X0,X1] : join(X0,complement(X1)) = complement(meet(complement(X0),X1)),
    inference(paramodulation,[status(thm)],[f885,f886]) ).

fof(f2681,plain,
    ! [X0,X1] : join(complement(X0),X1) = complement(meet(X0,complement(X1))),
    inference(paramodulation,[status(thm)],[f885,f886]) ).

fof(f4423,plain,
    ! [X0,X1] : meet(X0,complement(X1)) = complement(join(complement(X0),X1)),
    inference(paramodulation,[status(thm)],[f2681,f885]) ).

fof(f5038,plain,
    join(complement(composition(sk1,converse(sk2))),sk3) = join(top,sk3),
    inference(paramodulation,[status(thm)],[f713,f2381]) ).

fof(f5039,plain,
    join(complement(composition(sk1,converse(sk2))),sk3) = top,
    inference(forward_demodulation,[status(thm)],[f754,f5038]) ).

fof(f6093,plain,
    meet(composition(sk1,converse(sk2)),complement(sk3)) = complement(top),
    inference(paramodulation,[status(thm)],[f5039,f4423]) ).

fof(f6094,plain,
    meet(complement(sk3),composition(sk1,converse(sk2))) = complement(top),
    inference(forward_demodulation,[status(thm)],[f60,f6093]) ).

fof(f6095,plain,
    meet(complement(sk3),composition(sk1,converse(sk2))) = zero,
    inference(forward_demodulation,[status(thm)],[f254,f6094]) ).

fof(f7042,plain,
    ! [X0] : composition(top,X0) = join(composition(top,X0),X0),
    inference(paramodulation,[status(thm)],[f754,f287]) ).

fof(f7959,plain,
    composition(top,top) = top,
    inference(paramodulation,[status(thm)],[f728,f7042]) ).

fof(f7986,plain,
    ! [X0] : composition(top,X0) = join(X0,composition(top,X0)),
    inference(paramodulation,[status(thm)],[f19,f7042]) ).

fof(f8083,plain,
    join(complement(converse(top)),composition(top,complement(converse(top)))) = complement(converse(top)),
    inference(paramodulation,[status(thm)],[f7959,f228]) ).

fof(f8084,plain,
    composition(top,complement(converse(top))) = complement(converse(top)),
    inference(forward_demodulation,[status(thm)],[f7986,f8083]) ).

fof(f8085,plain,
    composition(top,complement(top)) = complement(converse(top)),
    inference(forward_demodulation,[status(thm)],[f757,f8084]) ).

fof(f8086,plain,
    composition(top,zero) = complement(converse(top)),
    inference(forward_demodulation,[status(thm)],[f254,f8085]) ).

fof(f8087,plain,
    composition(top,zero) = complement(top),
    inference(forward_demodulation,[status(thm)],[f757,f8086]) ).

fof(f8088,plain,
    composition(top,zero) = zero,
    inference(forward_demodulation,[status(thm)],[f254,f8087]) ).

fof(f8223,plain,
    ! [X0] : composition(join(X0,top),zero) = join(composition(X0,zero),zero),
    inference(paramodulation,[status(thm)],[f8088,f25]) ).

fof(f8224,plain,
    ! [X0] : composition(top,zero) = join(composition(X0,zero),zero),
    inference(forward_demodulation,[status(thm)],[f728,f8223]) ).

fof(f8225,plain,
    ! [X0] : zero = join(composition(X0,zero),zero),
    inference(forward_demodulation,[status(thm)],[f8088,f8224]) ).

fof(f8226,plain,
    ! [X0] : zero = composition(X0,zero),
    inference(forward_demodulation,[status(thm)],[f923,f8225]) ).

fof(f8411,plain,
    ! [X0] : converse(zero) = composition(converse(zero),X0),
    inference(paramodulation,[status(thm)],[f8226,f67]) ).

fof(f8412,plain,
    ! [X0] : zero = composition(converse(zero),X0),
    inference(forward_demodulation,[status(thm)],[f1336,f8411]) ).

fof(f8413,plain,
    ! [X0] : zero = composition(zero,X0),
    inference(forward_demodulation,[status(thm)],[f1336,f8412]) ).

fof(f9205,plain,
    join(meet(composition(complement(sk3),sk2),sk1),meet(composition(zero,sk2),sk1)) = meet(composition(meet(complement(sk3),composition(sk1,converse(sk2))),sk2),sk1),
    inference(paramodulation,[status(thm)],[f6095,f34]) ).

fof(f9206,plain,
    join(meet(composition(complement(sk3),sk2),sk1),meet(zero,sk1)) = meet(composition(meet(complement(sk3),composition(sk1,converse(sk2))),sk2),sk1),
    inference(forward_demodulation,[status(thm)],[f8413,f9205]) ).

fof(f9207,plain,
    join(meet(composition(complement(sk3),sk2),sk1),zero) = meet(composition(meet(complement(sk3),composition(sk1,converse(sk2))),sk2),sk1),
    inference(forward_demodulation,[status(thm)],[f877,f9206]) ).

fof(f9208,plain,
    meet(composition(complement(sk3),sk2),sk1) = meet(composition(meet(complement(sk3),composition(sk1,converse(sk2))),sk2),sk1),
    inference(forward_demodulation,[status(thm)],[f923,f9207]) ).

fof(f9209,plain,
    meet(composition(complement(sk3),sk2),sk1) = meet(composition(zero,sk2),sk1),
    inference(forward_demodulation,[status(thm)],[f6095,f9208]) ).

fof(f9210,plain,
    meet(composition(complement(sk3),sk2),sk1) = meet(zero,sk1),
    inference(forward_demodulation,[status(thm)],[f8413,f9209]) ).

fof(f9211,plain,
    meet(composition(complement(sk3),sk2),sk1) = zero,
    inference(forward_demodulation,[status(thm)],[f877,f9210]) ).

fof(f9258,plain,
    join(complement(composition(complement(sk3),sk2)),sk1) = join(complement(composition(complement(sk3),sk2)),meet(join(complement(composition(complement(sk3),sk2)),sk1),zero)),
    inference(paramodulation,[status(thm)],[f9211,f171]) ).

fof(f9259,plain,
    join(complement(composition(complement(sk3),sk2)),sk1) = join(complement(composition(complement(sk3),sk2)),zero),
    inference(forward_demodulation,[status(thm)],[f873,f9258]) ).

fof(f9260,plain,
    join(complement(composition(complement(sk3),sk2)),sk1) = complement(composition(complement(sk3),sk2)),
    inference(forward_demodulation,[status(thm)],[f923,f9259]) ).

fof(f9346,plain,
    meet(complement(composition(complement(sk3),sk2)),sk1) = sk1,
    inference(paramodulation,[status(thm)],[f9260,f1768]) ).

fof(f9373,plain,
    join(composition(complement(sk3),sk2),complement(sk1)) = complement(sk1),
    inference(paramodulation,[status(thm)],[f9346,f2675]) ).

fof(f9374,plain,
    join(complement(sk1),composition(complement(sk3),sk2)) = complement(sk1),
    inference(forward_demodulation,[status(thm)],[f19,f9373]) ).

fof(f9375,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f9374,f38]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : REL043-2 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n003.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Mon Apr 29 21:08:33 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.15/0.32  % Drodi V3.6.0
% 10.42/1.67  % Refutation found
% 10.42/1.67  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 10.42/1.67  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 10.80/1.74  % Elapsed time: 1.408856 seconds
% 10.80/1.74  % CPU time: 10.991790 seconds
% 10.80/1.74  % Total memory used: 184.701 MB
% 10.80/1.74  % Net memory used: 181.832 MB
%------------------------------------------------------------------------------