TSTP Solution File: REL008-4 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : REL008-4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n031.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 12:32:16 EDT 2023

% Result   : Unsatisfiable 48.78s 6.63s
% Output   : CNFRefutation 49.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  111 (  85 unt;   0 def)
%            Number of atoms       :  137 ( 107 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   51 (  25   ~;  24   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   3 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :  172 (; 172   !;   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(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,
    ( join(join(composition(sk1,sk2),composition(sk1,sk3)),composition(sk1,join(sk2,sk3))) != composition(sk1,join(sk2,sk3))
    | join(join(composition(sk1,join(sk2,sk3)),composition(sk1,sk2)),composition(sk1,sk3)) != join(composition(sk1,sk2),composition(sk1,sk3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,plain,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f19,plain,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f20,plain,
    ! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f21,plain,
    ! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f22,plain,
    ! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f23,plain,
    ! [X0] : composition(X0,one) = X0,
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f24,plain,
    ! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f25,plain,
    ! [X0] : converse(converse(X0)) = X0,
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f26,plain,
    ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f27,plain,
    ! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f28,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] : zero = meet(X0,complement(X0)),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f32,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(f34,plain,
    ( join(join(composition(sk1,sk2),composition(sk1,sk3)),composition(sk1,join(sk2,sk3))) != composition(sk1,join(sk2,sk3))
    | join(join(composition(sk1,join(sk2,sk3)),composition(sk1,sk2)),composition(sk1,sk3)) != join(composition(sk1,sk2),composition(sk1,sk3)) ),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f35,plain,
    ( spl0_0
  <=> join(join(composition(sk1,sk2),composition(sk1,sk3)),composition(sk1,join(sk2,sk3))) = composition(sk1,join(sk2,sk3)) ),
    introduced(split_symbol_definition) ).

fof(f37,plain,
    ( join(join(composition(sk1,sk2),composition(sk1,sk3)),composition(sk1,join(sk2,sk3))) != composition(sk1,join(sk2,sk3))
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f35]) ).

fof(f38,plain,
    ( spl0_1
  <=> join(join(composition(sk1,join(sk2,sk3)),composition(sk1,sk2)),composition(sk1,sk3)) = join(composition(sk1,sk2),composition(sk1,sk3)) ),
    introduced(split_symbol_definition) ).

fof(f40,plain,
    ( join(join(composition(sk1,join(sk2,sk3)),composition(sk1,sk2)),composition(sk1,sk3)) != join(composition(sk1,sk2),composition(sk1,sk3))
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f38]) ).

fof(f41,plain,
    ( ~ spl0_0
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f34,f35,f38]) ).

fof(f42,plain,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
    inference(paramodulation,[status(thm)],[f18,f19]) ).

fof(f47,plain,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
    inference(paramodulation,[status(thm)],[f18,f19]) ).

fof(f48,plain,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
    inference(forward_demodulation,[status(thm)],[f19,f47]) ).

fof(f80,plain,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X1,X0)),
    inference(paramodulation,[status(thm)],[f18,f42]) ).

fof(f412,plain,
    ! [X0,X1] : composition(X0,composition(one,X1)) = composition(X0,X1),
    inference(paramodulation,[status(thm)],[f23,f22]) ).

fof(f427,plain,
    ! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
    inference(paramodulation,[status(thm)],[f18,f21]) ).

fof(f428,plain,
    ! [X0,X1] : meet(X0,X1) = meet(X1,X0),
    inference(forward_demodulation,[status(thm)],[f21,f427]) ).

fof(f451,plain,
    ! [X0,X1] : converse(join(X0,X1)) = join(converse(X1),converse(X0)),
    inference(paramodulation,[status(thm)],[f18,f26]) ).

fof(f452,plain,
    ! [X0,X1] : converse(join(X0,X1)) = converse(join(X1,X0)),
    inference(forward_demodulation,[status(thm)],[f26,f451]) ).

fof(f455,plain,
    ! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
    inference(paramodulation,[status(thm)],[f25,f26]) ).

fof(f472,plain,
    ! [X0,X1] : converse(composition(X0,converse(X1))) = composition(X1,converse(X0)),
    inference(paramodulation,[status(thm)],[f25,f27]) ).

fof(f473,plain,
    ! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
    inference(paramodulation,[status(thm)],[f25,f27]) ).

fof(f478,plain,
    ! [X0,X1,X2] : composition(join(X0,converse(X1)),converse(X2)) = join(composition(X0,converse(X2)),converse(composition(X2,X1))),
    inference(paramodulation,[status(thm)],[f27,f24]) ).

fof(f613,plain,
    ! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
    inference(forward_demodulation,[status(thm)],[f18,f20]) ).

fof(f614,plain,
    ! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f21,f613]) ).

fof(f615,plain,
    ! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
    inference(forward_demodulation,[status(thm)],[f18,f614]) ).

fof(f619,plain,
    ! [X0] : X0 = join(zero,complement(join(complement(X0),complement(X0)))),
    inference(paramodulation,[status(thm)],[f30,f615]) ).

fof(f620,plain,
    ! [X0] : X0 = join(zero,meet(X0,X0)),
    inference(forward_demodulation,[status(thm)],[f21,f619]) ).

fof(f623,plain,
    ! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
    inference(paramodulation,[status(thm)],[f21,f615]) ).

fof(f624,plain,
    ! [X0,X1] : X0 = join(meet(X0,X1),meet(X0,complement(X1))),
    inference(forward_demodulation,[status(thm)],[f18,f623]) ).

fof(f651,plain,
    ! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
    inference(forward_demodulation,[status(thm)],[f18,f28]) ).

fof(f720,plain,
    ( join(composition(sk1,sk2),join(composition(sk1,sk3),composition(sk1,join(sk2,sk3)))) != composition(sk1,join(sk2,sk3))
    | spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f19,f37]) ).

fof(f2429,plain,
    ! [X0] : converse(converse(X0)) = composition(converse(one),X0),
    inference(paramodulation,[status(thm)],[f23,f473]) ).

fof(f2430,plain,
    ! [X0] : X0 = composition(converse(one),X0),
    inference(forward_demodulation,[status(thm)],[f25,f2429]) ).

fof(f2438,plain,
    ! [X0,X1,X2] : converse(composition(converse(join(X0,X1)),X2)) = composition(converse(X2),join(X1,X0)),
    inference(paramodulation,[status(thm)],[f452,f473]) ).

fof(f2439,plain,
    ! [X0,X1,X2] : composition(converse(X0),join(X1,X2)) = composition(converse(X0),join(X2,X1)),
    inference(forward_demodulation,[status(thm)],[f473,f2438]) ).

fof(f2448,plain,
    ! [X0,X1,X2] : converse(join(composition(converse(X0),X1),X2)) = join(composition(converse(X1),X0),converse(X2)),
    inference(paramodulation,[status(thm)],[f473,f455]) ).

fof(f2470,plain,
    ! [X0] : composition(one,X0) = composition(converse(one),X0),
    inference(paramodulation,[status(thm)],[f412,f2430]) ).

fof(f2471,plain,
    ! [X0] : composition(one,X0) = X0,
    inference(forward_demodulation,[status(thm)],[f2430,f2470]) ).

fof(f2530,plain,
    ! [X0] : join(complement(X0),composition(converse(one),complement(X0))) = complement(X0),
    inference(paramodulation,[status(thm)],[f2471,f651]) ).

fof(f2531,plain,
    ! [X0] : join(complement(X0),complement(X0)) = complement(X0),
    inference(forward_demodulation,[status(thm)],[f2430,f2530]) ).

fof(f2591,plain,
    ! [X0] : meet(X0,X0) = complement(complement(X0)),
    inference(paramodulation,[status(thm)],[f2531,f21]) ).

fof(f2677,plain,
    ! [X0,X1,X2] : join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))) = meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2),
    inference(forward_demodulation,[status(thm)],[f428,f32]) ).

fof(f2678,plain,
    ! [X0,X1,X2] : join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))) = meet(X2,composition(X0,meet(X1,composition(converse(X0),X2)))),
    inference(forward_demodulation,[status(thm)],[f428,f2677]) ).

fof(f2779,plain,
    ! [X0,X1,X2,X3] : join(meet(composition(X0,X1),X2),join(meet(X2,composition(X0,meet(X1,composition(converse(X0),X2)))),X3)) = join(meet(X2,composition(X0,meet(X1,composition(converse(X0),X2)))),X3),
    inference(paramodulation,[status(thm)],[f2678,f19]) ).

fof(f2951,plain,
    ! [X0,X1,X2] : composition(X0,join(X1,X2)) = composition(converse(converse(X0)),join(X2,X1)),
    inference(paramodulation,[status(thm)],[f25,f2439]) ).

fof(f2952,plain,
    ! [X0,X1,X2] : composition(X0,join(X1,X2)) = composition(X0,join(X2,X1)),
    inference(forward_demodulation,[status(thm)],[f25,f2951]) ).

fof(f4740,plain,
    ! [X0] : X0 = join(zero,complement(complement(X0))),
    inference(forward_demodulation,[status(thm)],[f2591,f620]) ).

fof(f13932,plain,
    ! [X0,X1,X2] : converse(composition(join(converse(X0),converse(X1)),converse(X2))) = join(composition(converse(converse(X2)),X0),converse(converse(composition(X2,X1)))),
    inference(paramodulation,[status(thm)],[f478,f2448]) ).

fof(f13933,plain,
    ! [X0,X1,X2] : composition(X0,converse(join(converse(X1),converse(X2)))) = join(composition(converse(converse(X0)),X1),converse(converse(composition(X0,X2)))),
    inference(forward_demodulation,[status(thm)],[f472,f13932]) ).

fof(f13934,plain,
    ! [X0,X1,X2] : composition(X0,join(X1,converse(converse(X2)))) = join(composition(converse(converse(X0)),X1),converse(converse(composition(X0,X2)))),
    inference(forward_demodulation,[status(thm)],[f455,f13933]) ).

fof(f13935,plain,
    ! [X0,X1,X2] : composition(X0,join(X1,X2)) = join(composition(converse(converse(X0)),X1),converse(converse(composition(X0,X2)))),
    inference(forward_demodulation,[status(thm)],[f25,f13934]) ).

fof(f13936,plain,
    ! [X0,X1,X2] : composition(X0,join(X1,X2)) = join(composition(X0,X1),converse(converse(composition(X0,X2)))),
    inference(forward_demodulation,[status(thm)],[f25,f13935]) ).

fof(f13937,plain,
    ! [X0,X1,X2] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
    inference(forward_demodulation,[status(thm)],[f25,f13936]) ).

fof(f14108,plain,
    ( join(composition(sk1,sk2),composition(sk1,join(sk3,join(sk2,sk3)))) != composition(sk1,join(sk2,sk3))
    | spl0_0 ),
    inference(backward_demodulation,[status(thm)],[f13937,f720]) ).

fof(f14109,plain,
    ( composition(sk1,join(sk2,join(sk3,join(sk2,sk3)))) != composition(sk1,join(sk2,sk3))
    | spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f13937,f14108]) ).

fof(f14110,plain,
    ( composition(sk1,join(sk2,join(sk2,join(sk3,sk3)))) != composition(sk1,join(sk2,sk3))
    | spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f48,f14109]) ).

fof(f21392,plain,
    ! [X0,X1,X2] : join(meet(composition(X0,X1),X2),X2) = join(meet(X2,composition(X0,meet(X1,composition(converse(X0),X2)))),meet(X2,complement(composition(X0,meet(X1,composition(converse(X0),X2)))))),
    inference(paramodulation,[status(thm)],[f624,f2779]) ).

fof(f21393,plain,
    ! [X0,X1,X2] : join(X0,meet(composition(X1,X2),X0)) = join(meet(X0,composition(X1,meet(X2,composition(converse(X1),X0)))),meet(X0,complement(composition(X1,meet(X2,composition(converse(X1),X0)))))),
    inference(forward_demodulation,[status(thm)],[f18,f21392]) ).

fof(f21394,plain,
    ! [X0,X1,X2] : join(X0,meet(composition(X1,X2),X0)) = X0,
    inference(forward_demodulation,[status(thm)],[f624,f21393]) ).

fof(f22003,plain,
    ! [X0,X1] : join(X0,meet(X1,X0)) = X0,
    inference(paramodulation,[status(thm)],[f2471,f21394]) ).

fof(f22158,plain,
    ! [X0,X1] : join(X0,meet(X0,X1)) = X0,
    inference(paramodulation,[status(thm)],[f428,f22003]) ).

fof(f22275,plain,
    ! [X0] : join(X0,zero) = X0,
    inference(paramodulation,[status(thm)],[f30,f22158]) ).

fof(f22395,plain,
    ! [X0] : join(zero,X0) = X0,
    inference(paramodulation,[status(thm)],[f18,f22275]) ).

fof(f22534,plain,
    ! [X0] : X0 = complement(complement(X0)),
    inference(backward_demodulation,[status(thm)],[f22395,f4740]) ).

fof(f22803,plain,
    ! [X0] : join(complement(complement(X0)),X0) = complement(complement(X0)),
    inference(paramodulation,[status(thm)],[f22534,f2531]) ).

fof(f22804,plain,
    ! [X0] : join(X0,complement(complement(X0))) = complement(complement(X0)),
    inference(forward_demodulation,[status(thm)],[f18,f22803]) ).

fof(f22805,plain,
    ! [X0] : join(X0,X0) = complement(complement(X0)),
    inference(forward_demodulation,[status(thm)],[f22534,f22804]) ).

fof(f22806,plain,
    ! [X0] : join(X0,X0) = X0,
    inference(forward_demodulation,[status(thm)],[f22534,f22805]) ).

fof(f23077,plain,
    ( composition(sk1,join(sk2,join(sk2,sk3))) != composition(sk1,join(sk2,sk3))
    | spl0_0 ),
    inference(backward_demodulation,[status(thm)],[f22806,f14110]) ).

fof(f23305,plain,
    ! [X0,X1] : join(X0,join(X0,X1)) = join(X1,X0),
    inference(paramodulation,[status(thm)],[f22806,f80]) ).

fof(f28146,plain,
    ( composition(sk1,join(sk3,sk2)) != composition(sk1,join(sk2,sk3))
    | spl0_0 ),
    inference(backward_demodulation,[status(thm)],[f23305,f23077]) ).

fof(f28147,plain,
    ( composition(sk1,join(sk2,sk3)) != composition(sk1,join(sk2,sk3))
    | spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f2952,f28146]) ).

fof(f28148,plain,
    ( $false
    | spl0_0 ),
    inference(trivial_equality_resolution,[status(esa)],[f28147]) ).

fof(f28149,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f28148]) ).

fof(f28645,plain,
    ( join(composition(sk1,join(sk2,sk3)),join(composition(sk1,sk2),composition(sk1,sk3))) != join(composition(sk1,sk2),composition(sk1,sk3))
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f19,f40]) ).

fof(f28646,plain,
    ( join(composition(sk1,sk3),join(composition(sk1,sk2),composition(sk1,join(sk2,sk3)))) != join(composition(sk1,sk2),composition(sk1,sk3))
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f80,f28645]) ).

fof(f28647,plain,
    ( join(composition(sk1,sk2),join(composition(sk1,sk3),composition(sk1,join(sk2,sk3)))) != join(composition(sk1,sk2),composition(sk1,sk3))
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f48,f28646]) ).

fof(f28648,plain,
    ( join(composition(sk1,sk2),composition(sk1,join(sk3,join(sk2,sk3)))) != join(composition(sk1,sk2),composition(sk1,sk3))
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f13937,f28647]) ).

fof(f28649,plain,
    ( composition(sk1,join(sk2,join(sk3,join(sk2,sk3)))) != join(composition(sk1,sk2),composition(sk1,sk3))
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f13937,f28648]) ).

fof(f28650,plain,
    ( composition(sk1,join(sk2,join(sk2,join(sk3,sk3)))) != join(composition(sk1,sk2),composition(sk1,sk3))
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f48,f28649]) ).

fof(f28651,plain,
    ( composition(sk1,join(join(sk3,sk3),sk2)) != join(composition(sk1,sk2),composition(sk1,sk3))
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f23305,f28650]) ).

fof(f28652,plain,
    ( composition(sk1,join(sk2,join(sk3,sk3))) != join(composition(sk1,sk2),composition(sk1,sk3))
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f2952,f28651]) ).

fof(f28653,plain,
    ( composition(sk1,join(sk2,sk3)) != join(composition(sk1,sk2),composition(sk1,sk3))
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f22806,f28652]) ).

fof(f28654,plain,
    ( composition(sk1,join(sk2,sk3)) != composition(sk1,join(sk2,sk3))
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f13937,f28653]) ).

fof(f28655,plain,
    ( $false
    | spl0_1 ),
    inference(trivial_equality_resolution,[status(esa)],[f28654]) ).

fof(f28656,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f28655]) ).

fof(f28657,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f41,f28149,f28656]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem  : REL008-4 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32  % Computer : n031.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Tue May 30 10:26:07 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.10/0.32  % Drodi V3.5.1
% 48.78/6.63  % Refutation found
% 48.78/6.63  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 48.78/6.63  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 50.56/6.82  % Elapsed time: 6.499358 seconds
% 50.56/6.82  % CPU time: 50.237010 seconds
% 50.56/6.82  % Memory used: 466.157 MB
%------------------------------------------------------------------------------