TSTP Solution File: REL011-2 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : REL011-2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n013.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 20:37:23 EDT 2024

% Result   : Unsatisfiable 9.00s 1.50s
% Output   : CNFRefutation 9.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  137 ( 137 unt;   0 def)
%            Number of atoms       :  137 ( 136 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   :  178 ( 178   !;   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(f5,axiom,
    ! [A,B,C] : composition(A,composition(B,C)) = composition(composition(A,B),C),
    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(f15,axiom,
    ! [A,B,C] : join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)) = meet(composition(A,meet(B,composition(converse(A),C))),C),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f18,negated_conjecture,
    meet(composition(sk2,sk1),sk3) != zero,
    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(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(f33,plain,
    ! [X0,X1,X2] : join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2),
    inference(cnf_transformation,[status(esa)],[f15]) ).

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

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

fof(f37,plain,
    ! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
    inference(forward_demodulation,[status(thm)],[f19,f21]) ).

fof(f38,plain,
    ! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
    inference(forward_demodulation,[status(thm)],[f19,f29]) ).

fof(f39,plain,
    ! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
    inference(backward_demodulation,[status(thm)],[f22,f37]) ).

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

fof(f44,plain,
    ! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
    inference(paramodulation,[status(thm)],[f26,f27]) ).

fof(f47,plain,
    ! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
    inference(paramodulation,[status(thm)],[f26,f28]) ).

fof(f473,plain,
    join(meet(composition(sk2,sk1),sk3),meet(composition(sk2,zero),sk3)) = meet(composition(sk2,meet(sk1,composition(converse(sk2),sk3))),sk3),
    inference(paramodulation,[status(thm)],[f35,f33]) ).

fof(f474,plain,
    join(meet(composition(sk2,zero),sk3),meet(composition(sk2,sk1),sk3)) = meet(composition(sk2,meet(sk1,composition(converse(sk2),sk3))),sk3),
    inference(forward_demodulation,[status(thm)],[f19,f473]) ).

fof(f475,plain,
    join(meet(composition(sk2,zero),sk3),meet(composition(sk2,sk1),sk3)) = meet(composition(sk2,zero),sk3),
    inference(forward_demodulation,[status(thm)],[f35,f474]) ).

fof(f540,plain,
    ! [X0] : converse(converse(X0)) = composition(converse(one),X0),
    inference(paramodulation,[status(thm)],[f24,f47]) ).

fof(f541,plain,
    ! [X0] : X0 = composition(converse(one),X0),
    inference(forward_demodulation,[status(thm)],[f26,f540]) ).

fof(f547,plain,
    ! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
    inference(paramodulation,[status(thm)],[f30,f44]) ).

fof(f552,plain,
    one = converse(one),
    inference(paramodulation,[status(thm)],[f24,f541]) ).

fof(f592,plain,
    ! [X0] : X0 = composition(one,X0),
    inference(backward_demodulation,[status(thm)],[f552,f541]) ).

fof(f715,plain,
    ! [X0] : meet(X0,complement(X0)) = complement(top),
    inference(paramodulation,[status(thm)],[f30,f22]) ).

fof(f716,plain,
    zero = complement(top),
    inference(forward_demodulation,[status(thm)],[f31,f715]) ).

fof(f717,plain,
    ! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
    inference(paramodulation,[status(thm)],[f19,f22]) ).

fof(f718,plain,
    ! [X0,X1] : meet(X0,X1) = meet(X1,X0),
    inference(forward_demodulation,[status(thm)],[f22,f717]) ).

fof(f728,plain,
    ! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
    inference(paramodulation,[status(thm)],[f716,f22]) ).

fof(f729,plain,
    ! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
    inference(forward_demodulation,[status(thm)],[f19,f728]) ).

fof(f734,plain,
    meet(sk3,composition(sk2,sk1)) != zero,
    inference(paramodulation,[status(thm)],[f718,f36]) ).

fof(f769,plain,
    ! [X0] : top = join(join(zero,complement(X0)),meet(X0,top)),
    inference(paramodulation,[status(thm)],[f729,f30]) ).

fof(f770,plain,
    ! [X0] : top = join(meet(X0,top),join(zero,complement(X0))),
    inference(forward_demodulation,[status(thm)],[f19,f769]) ).

fof(f784,plain,
    ! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
    inference(paramodulation,[status(thm)],[f30,f20]) ).

fof(f785,plain,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
    inference(paramodulation,[status(thm)],[f19,f20]) ).

fof(f786,plain,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
    inference(forward_demodulation,[status(thm)],[f20,f785]) ).

fof(f802,plain,
    ! [X0] : join(X0,top) = join(top,complement(complement(X0))),
    inference(paramodulation,[status(thm)],[f30,f784]) ).

fof(f862,plain,
    ! [X0] : join(zero,composition(converse(X0),complement(composition(X0,top)))) = complement(top),
    inference(paramodulation,[status(thm)],[f716,f38]) ).

fof(f863,plain,
    ! [X0] : join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero,
    inference(forward_demodulation,[status(thm)],[f716,f862]) ).

fof(f868,plain,
    ! [X0] : join(complement(X0),composition(one,complement(composition(one,X0)))) = complement(X0),
    inference(paramodulation,[status(thm)],[f552,f38]) ).

fof(f869,plain,
    ! [X0] : join(complement(X0),complement(composition(one,X0))) = complement(X0),
    inference(forward_demodulation,[status(thm)],[f592,f868]) ).

fof(f870,plain,
    ! [X0] : join(complement(X0),complement(X0)) = complement(X0),
    inference(forward_demodulation,[status(thm)],[f592,f869]) ).

fof(f1019,plain,
    join(meet(sk3,composition(sk2,zero)),meet(composition(sk2,sk1),sk3)) = meet(composition(sk2,zero),sk3),
    inference(paramodulation,[status(thm)],[f718,f475]) ).

fof(f1020,plain,
    join(meet(sk3,composition(sk2,zero)),meet(sk3,composition(sk2,sk1))) = meet(composition(sk2,zero),sk3),
    inference(forward_demodulation,[status(thm)],[f718,f1019]) ).

fof(f1021,plain,
    join(meet(sk3,composition(sk2,zero)),meet(sk3,composition(sk2,sk1))) = meet(sk3,composition(sk2,zero)),
    inference(forward_demodulation,[status(thm)],[f718,f1020]) ).

fof(f1065,plain,
    join(zero,complement(top)) = complement(top),
    inference(paramodulation,[status(thm)],[f716,f870]) ).

fof(f1066,plain,
    join(zero,zero) = complement(top),
    inference(forward_demodulation,[status(thm)],[f716,f1065]) ).

fof(f1067,plain,
    join(zero,zero) = zero,
    inference(forward_demodulation,[status(thm)],[f716,f1066]) ).

fof(f1087,plain,
    ! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
    inference(paramodulation,[status(thm)],[f870,f784]) ).

fof(f1088,plain,
    ! [X0] : top = join(top,complement(X0)),
    inference(forward_demodulation,[status(thm)],[f30,f1087]) ).

fof(f1093,plain,
    ! [X0] : join(X0,top) = top,
    inference(backward_demodulation,[status(thm)],[f1088,f802]) ).

fof(f1096,plain,
    ! [X0] : join(top,X0) = top,
    inference(paramodulation,[status(thm)],[f19,f1093]) ).

fof(f1147,plain,
    ! [X0] : join(zero,join(zero,X0)) = join(zero,X0),
    inference(paramodulation,[status(thm)],[f1067,f20]) ).

fof(f1150,plain,
    ! [X0] : join(zero,join(X0,zero)) = join(zero,X0),
    inference(paramodulation,[status(thm)],[f19,f1147]) ).

fof(f1163,plain,
    converse(top) = top,
    inference(paramodulation,[status(thm)],[f1096,f547]) ).

fof(f1327,plain,
    ! [X0,X1] : join(meet(X0,top),join(join(zero,complement(X0)),X1)) = join(top,X1),
    inference(paramodulation,[status(thm)],[f770,f20]) ).

fof(f1328,plain,
    ! [X0,X1] : join(meet(X0,top),join(zero,join(complement(X0),X1))) = join(top,X1),
    inference(forward_demodulation,[status(thm)],[f20,f1327]) ).

fof(f1329,plain,
    ! [X0,X1] : join(zero,join(meet(X0,top),join(complement(X0),X1))) = join(top,X1),
    inference(forward_demodulation,[status(thm)],[f786,f1328]) ).

fof(f1330,plain,
    ! [X0,X1] : join(zero,join(complement(X0),join(meet(X0,top),X1))) = join(top,X1),
    inference(forward_demodulation,[status(thm)],[f786,f1329]) ).

fof(f1331,plain,
    ! [X0,X1] : join(zero,join(complement(X0),join(meet(X0,top),X1))) = top,
    inference(forward_demodulation,[status(thm)],[f1096,f1330]) ).

fof(f1706,plain,
    ! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
    inference(paramodulation,[status(thm)],[f22,f40]) ).

fof(f1707,plain,
    ! [X0,X1] : X0 = join(meet(X0,X1),meet(X0,complement(X1))),
    inference(forward_demodulation,[status(thm)],[f19,f1706]) ).

fof(f1714,plain,
    ! [X0] : X0 = join(meet(X0,top),complement(top)),
    inference(paramodulation,[status(thm)],[f1093,f40]) ).

fof(f1715,plain,
    ! [X0] : X0 = join(complement(top),meet(X0,top)),
    inference(forward_demodulation,[status(thm)],[f19,f1714]) ).

fof(f1716,plain,
    ! [X0] : X0 = join(zero,meet(X0,top)),
    inference(forward_demodulation,[status(thm)],[f716,f1715]) ).

fof(f1733,plain,
    ! [X0] : X0 = join(zero,meet(top,X0)),
    inference(paramodulation,[status(thm)],[f718,f1716]) ).

fof(f1735,plain,
    ! [X0] : join(zero,X0) = join(zero,meet(X0,top)),
    inference(paramodulation,[status(thm)],[f1716,f1147]) ).

fof(f1736,plain,
    ! [X0] : join(zero,X0) = X0,
    inference(forward_demodulation,[status(thm)],[f1716,f1735]) ).

fof(f1737,plain,
    ! [X0,X1] : join(zero,join(meet(X0,top),X1)) = join(X0,X1),
    inference(paramodulation,[status(thm)],[f1716,f20]) ).

fof(f1738,plain,
    ! [X0,X1] : join(meet(X0,top),X1) = join(X0,X1),
    inference(forward_demodulation,[status(thm)],[f1736,f1737]) ).

fof(f1739,plain,
    ! [X0] : X0 = meet(X0,top),
    inference(backward_demodulation,[status(thm)],[f1736,f1716]) ).

fof(f1740,plain,
    ! [X0] : join(X0,zero) = join(zero,X0),
    inference(backward_demodulation,[status(thm)],[f1736,f1150]) ).

fof(f1741,plain,
    ! [X0] : join(X0,zero) = X0,
    inference(forward_demodulation,[status(thm)],[f1736,f1740]) ).

fof(f1750,plain,
    ! [X0] : meet(X0,top) = complement(complement(X0)),
    inference(backward_demodulation,[status(thm)],[f1736,f729]) ).

fof(f1751,plain,
    ! [X0] : X0 = complement(complement(X0)),
    inference(forward_demodulation,[status(thm)],[f1739,f1750]) ).

fof(f1758,plain,
    ! [X0,X1] : join(complement(X0),join(meet(X0,top),X1)) = top,
    inference(backward_demodulation,[status(thm)],[f1736,f1331]) ).

fof(f1759,plain,
    ! [X0,X1] : join(complement(X0),join(X0,X1)) = top,
    inference(forward_demodulation,[status(thm)],[f1738,f1758]) ).

fof(f1760,plain,
    ! [X0,X1] : join(X0,join(complement(X0),X1)) = top,
    inference(forward_demodulation,[status(thm)],[f786,f1759]) ).

fof(f1782,plain,
    ! [X0] : X0 = meet(top,X0),
    inference(backward_demodulation,[status(thm)],[f1736,f1733]) ).

fof(f1786,plain,
    ! [X0] : composition(converse(X0),complement(composition(X0,top))) = zero,
    inference(backward_demodulation,[status(thm)],[f1736,f863]) ).

fof(f1804,plain,
    top = complement(zero),
    inference(paramodulation,[status(thm)],[f716,f1751]) ).

fof(f1805,plain,
    ! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
    inference(paramodulation,[status(thm)],[f22,f1751]) ).

fof(f1808,plain,
    ! [X0] : join(complement(complement(X0)),X0) = complement(complement(X0)),
    inference(paramodulation,[status(thm)],[f1751,f870]) ).

fof(f1809,plain,
    ! [X0] : join(X0,complement(complement(X0))) = complement(complement(X0)),
    inference(forward_demodulation,[status(thm)],[f19,f1808]) ).

fof(f1810,plain,
    ! [X0] : join(X0,X0) = complement(complement(X0)),
    inference(forward_demodulation,[status(thm)],[f1751,f1809]) ).

fof(f1811,plain,
    ! [X0] : join(X0,X0) = X0,
    inference(forward_demodulation,[status(thm)],[f1751,f1810]) ).

fof(f1817,plain,
    ! [X0,X1] : meet(X0,complement(X1)) = complement(join(complement(X0),X1)),
    inference(paramodulation,[status(thm)],[f1751,f22]) ).

fof(f1911,plain,
    ! [X0,X1] : join(X0,join(X0,X1)) = join(X0,X1),
    inference(paramodulation,[status(thm)],[f1811,f20]) ).

fof(f2150,plain,
    ! [X0,X1] : join(meet(X0,X1),X0) = join(meet(X0,X1),meet(X0,complement(X1))),
    inference(paramodulation,[status(thm)],[f1707,f1911]) ).

fof(f2151,plain,
    ! [X0,X1] : join(X0,meet(X0,X1)) = join(meet(X0,X1),meet(X0,complement(X1))),
    inference(forward_demodulation,[status(thm)],[f19,f2150]) ).

fof(f2152,plain,
    ! [X0,X1] : join(X0,meet(X0,X1)) = X0,
    inference(forward_demodulation,[status(thm)],[f1707,f2151]) ).

fof(f2195,plain,
    ! [X0] : meet(zero,X0) = zero,
    inference(paramodulation,[status(thm)],[f1736,f2152]) ).

fof(f3157,plain,
    ! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X1,X0)),
    inference(paramodulation,[status(thm)],[f19,f1805]) ).

fof(f3158,plain,
    ! [X0,X1] : complement(meet(X0,X1)) = complement(meet(X1,X0)),
    inference(forward_demodulation,[status(thm)],[f1805,f3157]) ).

fof(f3354,plain,
    ! [X0,X1] : meet(X0,complement(join(complement(complement(X0)),X1))) = complement(top),
    inference(paramodulation,[status(thm)],[f1760,f1817]) ).

fof(f3355,plain,
    ! [X0,X1] : meet(X0,meet(complement(X0),complement(X1))) = complement(top),
    inference(forward_demodulation,[status(thm)],[f1817,f3354]) ).

fof(f3356,plain,
    ! [X0,X1] : meet(X0,meet(complement(X0),complement(X1))) = zero,
    inference(forward_demodulation,[status(thm)],[f716,f3355]) ).

fof(f3382,plain,
    ! [X0,X1] : meet(complement(X0),complement(X1)) = complement(join(X0,X1)),
    inference(paramodulation,[status(thm)],[f1751,f1817]) ).

fof(f3398,plain,
    ! [X0,X1] : meet(X0,complement(join(X0,X1))) = zero,
    inference(backward_demodulation,[status(thm)],[f3382,f3356]) ).

fof(f4186,plain,
    ! [X0,X1] : meet(X0,complement(join(X1,X0))) = zero,
    inference(paramodulation,[status(thm)],[f19,f3398]) ).

fof(f4249,plain,
    meet(meet(sk3,composition(sk2,sk1)),complement(meet(sk3,composition(sk2,zero)))) = zero,
    inference(paramodulation,[status(thm)],[f1021,f4186]) ).

fof(f4490,plain,
    composition(top,complement(composition(top,top))) = zero,
    inference(paramodulation,[status(thm)],[f1163,f1786]) ).

fof(f7153,plain,
    ! [X0] : composition(join(X0,top),complement(composition(top,top))) = join(composition(X0,complement(composition(top,top))),zero),
    inference(paramodulation,[status(thm)],[f4490,f25]) ).

fof(f7154,plain,
    ! [X0] : composition(top,complement(composition(top,top))) = join(composition(X0,complement(composition(top,top))),zero),
    inference(forward_demodulation,[status(thm)],[f1093,f7153]) ).

fof(f7155,plain,
    ! [X0] : zero = join(composition(X0,complement(composition(top,top))),zero),
    inference(forward_demodulation,[status(thm)],[f4490,f7154]) ).

fof(f7156,plain,
    ! [X0] : zero = composition(X0,complement(composition(top,top))),
    inference(forward_demodulation,[status(thm)],[f1741,f7155]) ).

fof(f7170,plain,
    ! [X0,X1] : zero = composition(X0,composition(X1,complement(composition(top,top)))),
    inference(paramodulation,[status(thm)],[f23,f7156]) ).

fof(f7171,plain,
    ! [X0] : zero = composition(X0,zero),
    inference(forward_demodulation,[status(thm)],[f7156,f7170]) ).

fof(f7542,plain,
    meet(meet(sk3,composition(sk2,sk1)),complement(meet(sk3,zero))) = zero,
    inference(backward_demodulation,[status(thm)],[f7171,f4249]) ).

fof(f7543,plain,
    meet(complement(meet(sk3,zero)),meet(sk3,composition(sk2,sk1))) = zero,
    inference(forward_demodulation,[status(thm)],[f718,f7542]) ).

fof(f7544,plain,
    meet(complement(meet(zero,sk3)),meet(sk3,composition(sk2,sk1))) = zero,
    inference(forward_demodulation,[status(thm)],[f3158,f7543]) ).

fof(f7545,plain,
    meet(complement(zero),meet(sk3,composition(sk2,sk1))) = zero,
    inference(forward_demodulation,[status(thm)],[f2195,f7544]) ).

fof(f7546,plain,
    meet(top,meet(sk3,composition(sk2,sk1))) = zero,
    inference(forward_demodulation,[status(thm)],[f1804,f7545]) ).

fof(f7547,plain,
    meet(sk3,composition(sk2,sk1)) = zero,
    inference(forward_demodulation,[status(thm)],[f1782,f7546]) ).

fof(f7548,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f7547,f734]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : REL011-2 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33  % Computer : n013.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Mon Apr 29 21:00:19 EDT 2024
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  % Drodi V3.6.0
% 9.00/1.50  % Refutation found
% 9.00/1.50  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.00/1.50  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 9.83/1.58  % Elapsed time: 1.227647 seconds
% 9.83/1.58  % CPU time: 9.482652 seconds
% 9.83/1.58  % Total memory used: 178.464 MB
% 9.83/1.58  % Net memory used: 175.646 MB
%------------------------------------------------------------------------------