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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : REL012-2 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 02:03:15 PM UTC 2026

% Result   : Unsatisfiable 8.08s 1.97s
% Output   : CNFRefutation 10.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   43
%            Number of leaves      :   12
% Syntax   : Number of formulae    :  126 ( 126 unt;   0 def)
%            Number of atoms       :  126 ( 125 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :  186 ( 186   !;   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(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(f17,negated_conjecture,
    join(composition(complement(composition(sk1,sk2)),converse(sk2)),complement(sk1)) != complement(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

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

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

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

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

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

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

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

fof(f28,plain,
    ! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
    inference(cnf_transformation,[status(thm)],[f11]) ).

fof(f29,plain,
    ! [X0] : top = join(X0,complement(X0)),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f30,plain,
    ! [X0] : zero = meet(X0,complement(X0)),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f34,plain,
    join(composition(complement(composition(sk1,sk2)),converse(sk2)),complement(sk1)) != complement(sk1),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f42,plain,
    ! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
    inference(forward_demodulation,[status(thm)],[f18,f20]) ).

fof(f43,plain,
    ! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
    inference(backward_demodulation,[status(thm)],[f21,f42]) ).

fof(f44,plain,
    ! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
    inference(forward_demodulation,[status(thm)],[f18,f28]) ).

fof(f45,plain,
    join(complement(sk1),composition(complement(composition(sk1,sk2)),converse(sk2))) != complement(sk1),
    inference(forward_demodulation,[status(thm)],[f18,f34]) ).

fof(f46,plain,
    ! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
    inference(forward_demodulation,[status(thm)],[f18,f43]) ).

fof(f58,plain,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
    inference(paramodulation,[status(thm)],[f18,f19]) ).

fof(f64,plain,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
    inference(forward_demodulation,[status(thm)],[f19,f58]) ).

fof(f66,plain,
    ! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
    inference(paramodulation,[status(thm)],[f18,f21]) ).

fof(f69,plain,
    ! [X0,X1,X2] : meet(X0,join(complement(X1),complement(X2))) = complement(join(complement(X0),meet(X1,X2))),
    inference(paramodulation,[status(thm)],[f21,f21]) ).

fof(f72,plain,
    ! [X0,X1] : meet(X0,X1) = meet(X1,X0),
    inference(forward_demodulation,[status(thm)],[f21,f66]) ).

fof(f80,plain,
    ! [X0,X1] : converse(composition(X0,converse(X1))) = composition(X1,converse(X0)),
    inference(paramodulation,[status(thm)],[f25,f27]) ).

fof(f81,plain,
    ! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
    inference(paramodulation,[status(thm)],[f25,f27]) ).

fof(f98,plain,
    ! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
    inference(paramodulation,[status(thm)],[f25,f26]) ).

fof(f155,plain,
    ! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
    inference(paramodulation,[status(thm)],[f21,f46]) ).

fof(f160,plain,
    ! [X0,X1] : X0 = join(meet(X0,X1),meet(X0,complement(X1))),
    inference(forward_demodulation,[status(thm)],[f18,f155]) ).

fof(f193,plain,
    ! [X0] : converse(converse(X0)) = composition(converse(one),X0),
    inference(paramodulation,[status(thm)],[f23,f81]) ).

fof(f199,plain,
    ! [X0] : X0 = composition(converse(one),X0),
    inference(forward_demodulation,[status(thm)],[f25,f193]) ).

fof(f202,plain,
    ! [X0,X1] : zero = meet(join(complement(X0),complement(X1)),meet(X0,X1)),
    inference(paramodulation,[status(thm)],[f21,f30]) ).

fof(f204,plain,
    ! [X0,X1] : zero = meet(meet(X0,X1),join(complement(X0),complement(X1))),
    inference(forward_demodulation,[status(thm)],[f72,f202]) ).

fof(f205,plain,
    ! [X0,X1] : zero = complement(join(complement(meet(X0,X1)),meet(X0,X1))),
    inference(forward_demodulation,[status(thm)],[f69,f204]) ).

fof(f206,plain,
    ! [X0,X1] : zero = complement(join(meet(X0,X1),complement(meet(X0,X1)))),
    inference(forward_demodulation,[status(thm)],[f18,f205]) ).

fof(f207,plain,
    zero = complement(top),
    inference(forward_demodulation,[status(thm)],[f29,f206]) ).

fof(f212,plain,
    ! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
    inference(paramodulation,[status(thm)],[f207,f21]) ).

fof(f215,plain,
    ! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
    inference(forward_demodulation,[status(thm)],[f18,f212]) ).

fof(f218,plain,
    one = converse(one),
    inference(paramodulation,[status(thm)],[f23,f199]) ).

fof(f219,plain,
    ! [X0] : join(complement(X0),complement(composition(one,X0))) = complement(X0),
    inference(paramodulation,[status(thm)],[f199,f44]) ).

fof(f228,plain,
    ! [X0] : X0 = composition(one,X0),
    inference(backward_demodulation,[status(thm)],[f218,f199]) ).

fof(f236,plain,
    ! [X0] : join(complement(X0),complement(X0)) = complement(X0),
    inference(backward_demodulation,[status(thm)],[f228,f219]) ).

fof(f270,plain,
    ! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
    inference(paramodulation,[status(thm)],[f29,f98]) ).

fof(f273,plain,
    ! [X0] : X0 = join(meet(X0,complement(complement(X0))),complement(top)),
    inference(paramodulation,[status(thm)],[f29,f46]) ).

fof(f277,plain,
    ! [X0] : X0 = join(complement(top),meet(X0,complement(complement(X0)))),
    inference(forward_demodulation,[status(thm)],[f18,f273]) ).

fof(f278,plain,
    ! [X0] : X0 = join(zero,meet(X0,complement(complement(X0)))),
    inference(forward_demodulation,[status(thm)],[f207,f277]) ).

fof(f281,plain,
    ! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),complement(X1)))) = complement(join(complement(X0),complement(X1))),
    inference(paramodulation,[status(thm)],[f21,f236]) ).

fof(f284,plain,
    ! [X0] : meet(X0,X0) = complement(complement(X0)),
    inference(paramodulation,[status(thm)],[f236,f21]) ).

fof(f285,plain,
    ! [X0] : X0 = join(meet(X0,complement(X0)),complement(complement(X0))),
    inference(paramodulation,[status(thm)],[f236,f46]) ).

fof(f289,plain,
    ! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = complement(join(complement(X0),complement(X1))),
    inference(forward_demodulation,[status(thm)],[f21,f281]) ).

fof(f290,plain,
    ! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = meet(X0,X1),
    inference(forward_demodulation,[status(thm)],[f21,f289]) ).

fof(f299,plain,
    ! [X0] : X0 = join(complement(complement(X0)),meet(X0,complement(X0))),
    inference(forward_demodulation,[status(thm)],[f18,f285]) ).

fof(f300,plain,
    ! [X0] : X0 = join(complement(complement(X0)),zero),
    inference(forward_demodulation,[status(thm)],[f30,f299]) ).

fof(f301,plain,
    ! [X0] : X0 = join(zero,complement(complement(X0))),
    inference(forward_demodulation,[status(thm)],[f18,f300]) ).

fof(f596,plain,
    ! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),
    inference(paramodulation,[status(thm)],[f21,f278]) ).

fof(f602,plain,
    ! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,meet(complement(meet(X0,X1)),join(complement(X0),complement(X1)))),
    inference(forward_demodulation,[status(thm)],[f72,f596]) ).

fof(f603,plain,
    ! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))),
    inference(forward_demodulation,[status(thm)],[f69,f602]) ).

fof(f604,plain,
    ! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),
    inference(forward_demodulation,[status(thm)],[f18,f603]) ).

fof(f609,plain,
    ! [X0,X1] : X0 = join(meet(X1,X0),meet(X0,complement(X1))),
    inference(paramodulation,[status(thm)],[f72,f160]) ).

fof(f613,plain,
    ! [X0,X1] : X0 = join(meet(X0,X1),meet(complement(X1),X0)),
    inference(paramodulation,[status(thm)],[f72,f160]) ).

fof(f641,plain,
    ! [X0,X1] : X0 = join(meet(X1,X0),meet(complement(X1),X0)),
    inference(paramodulation,[status(thm)],[f72,f609]) ).

fof(f723,plain,
    ! [X0] : complement(complement(X0)) = join(meet(complement(complement(X0)),X0),zero),
    inference(paramodulation,[status(thm)],[f30,f613]) ).

fof(f724,plain,
    ! [X0] : complement(X0) = join(meet(complement(X0),X0),complement(complement(complement(X0)))),
    inference(paramodulation,[status(thm)],[f284,f613]) ).

fof(f740,plain,
    ! [X0] : complement(complement(X0)) = join(zero,meet(complement(complement(X0)),X0)),
    inference(forward_demodulation,[status(thm)],[f18,f723]) ).

fof(f741,plain,
    ! [X0] : complement(complement(X0)) = join(zero,meet(X0,complement(complement(X0)))),
    inference(forward_demodulation,[status(thm)],[f72,f740]) ).

fof(f743,plain,
    ! [X0] : X0 = join(zero,X0),
    inference(backward_demodulation,[status(thm)],[f756,f301]) ).

fof(f745,plain,
    ! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),meet(X0,X1)))),
    inference(backward_demodulation,[status(thm)],[f756,f604]) ).

fof(f756,plain,
    ! [X0] : complement(complement(X0)) = X0,
    inference(forward_demodulation,[status(thm)],[f278,f741]) ).

fof(f757,plain,
    ! [X0] : complement(X0) = join(complement(complement(complement(X0))),meet(complement(X0),X0)),
    inference(forward_demodulation,[status(thm)],[f18,f724]) ).

fof(f758,plain,
    ! [X0] : complement(X0) = join(complement(X0),meet(complement(X0),X0)),
    inference(forward_demodulation,[status(thm)],[f756,f757]) ).

fof(f759,plain,
    ! [X0] : complement(X0) = join(complement(X0),meet(X0,complement(X0))),
    inference(forward_demodulation,[status(thm)],[f72,f758]) ).

fof(f760,plain,
    ! [X0] : complement(X0) = join(complement(X0),zero),
    inference(forward_demodulation,[status(thm)],[f30,f759]) ).

fof(f764,plain,
    ! [X0] : meet(X0,top) = complement(complement(X0)),
    inference(backward_demodulation,[status(thm)],[f765,f215]) ).

fof(f765,plain,
    ! [X0] : complement(X0) = join(zero,complement(X0)),
    inference(forward_demodulation,[status(thm)],[f18,f760]) ).

fof(f781,plain,
    ! [X0,X1] : join(complement(X0),complement(X1)) = complement(join(meet(X0,X1),meet(X0,X1))),
    inference(forward_demodulation,[status(thm)],[f765,f745]) ).

fof(f790,plain,
    ! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f290,f781]) ).

fof(f808,plain,
    ! [X0] : meet(X0,top) = X0,
    inference(forward_demodulation,[status(thm)],[f756,f764]) ).

fof(f827,plain,
    ! [X0,X1] : join(X0,composition(converse(X1),complement(composition(X1,complement(X0))))) = complement(complement(X0)),
    inference(paramodulation,[status(thm)],[f756,f44]) ).

fof(f836,plain,
    ! [X0,X1] : join(X0,composition(converse(X1),complement(composition(X1,complement(X0))))) = X0,
    inference(forward_demodulation,[status(thm)],[f756,f827]) ).

fof(f853,plain,
    ! [X0] : meet(top,X0) = X0,
    inference(paramodulation,[status(thm)],[f72,f808]) ).

fof(f1329,plain,
    ! [X0] : join(X0,meet(top,X0)) = meet(top,X0),
    inference(paramodulation,[status(thm)],[f853,f290]) ).

fof(f1346,plain,
    ! [X0] : join(X0,X0) = meet(top,X0),
    inference(forward_demodulation,[status(thm)],[f853,f1329]) ).

fof(f1350,plain,
    ! [X0] : join(X0,X0) = X0,
    inference(forward_demodulation,[status(thm)],[f853,f1346]) ).

fof(f1387,plain,
    ! [X0,X1] : join(X0,join(X1,X0)) = join(X1,X0),
    inference(paramodulation,[status(thm)],[f1350,f64]) ).

fof(f1428,plain,
    ! [X0] : X0 = join(meet(X0,converse(complement(converse(complement(X0))))),complement(converse(top))),
    inference(paramodulation,[status(thm)],[f270,f46]) ).

fof(f1448,plain,
    ! [X0] : X0 = join(complement(converse(top)),meet(X0,converse(complement(converse(complement(X0)))))),
    inference(forward_demodulation,[status(thm)],[f18,f1428]) ).

fof(f1461,plain,
    ! [X0,X1] : join(meet(complement(X0),X1),X1) = join(meet(X0,X1),meet(complement(X0),X1)),
    inference(paramodulation,[status(thm)],[f641,f1387]) ).

fof(f1498,plain,
    ! [X0,X1] : join(X0,meet(complement(X1),X0)) = join(meet(X1,X0),meet(complement(X1),X0)),
    inference(forward_demodulation,[status(thm)],[f18,f1461]) ).

fof(f1499,plain,
    ! [X0,X1] : join(X0,meet(complement(X1),X0)) = X0,
    inference(forward_demodulation,[status(thm)],[f641,f1498]) ).

fof(f1568,plain,
    ! [X0,X1] : join(X0,meet(X1,X0)) = X0,
    inference(paramodulation,[status(thm)],[f756,f1499]) ).

fof(f1593,plain,
    ! [X0] : join(top,X0) = top,
    inference(paramodulation,[status(thm)],[f808,f1568]) ).

fof(f1599,plain,
    ! [X0,X1] : converse(converse(X0)) = join(X0,converse(meet(X1,converse(X0)))),
    inference(paramodulation,[status(thm)],[f1568,f98]) ).

fof(f1620,plain,
    ! [X0,X1] : X0 = join(X0,converse(meet(X1,converse(X0)))),
    inference(forward_demodulation,[status(thm)],[f25,f1599]) ).

fof(f2207,plain,
    converse(top) = top,
    inference(paramodulation,[status(thm)],[f270,f1593]) ).

fof(f2247,plain,
    ! [X0] : X0 = join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))),
    inference(backward_demodulation,[status(thm)],[f2207,f1448]) ).

fof(f2287,plain,
    ! [X0] : X0 = join(zero,meet(X0,converse(complement(converse(complement(X0)))))),
    inference(forward_demodulation,[status(thm)],[f207,f2247]) ).

fof(f2289,plain,
    ! [X0] : X0 = meet(X0,converse(complement(converse(complement(X0))))),
    inference(forward_demodulation,[status(thm)],[f743,f2287]) ).

fof(f2447,plain,
    ! [X0] : complement(converse(complement(X0))) = join(complement(converse(complement(X0))),converse(X0)),
    inference(paramodulation,[status(thm)],[f2289,f1620]) ).

fof(f2482,plain,
    ! [X0] : complement(converse(complement(X0))) = join(converse(X0),complement(converse(complement(X0)))),
    inference(forward_demodulation,[status(thm)],[f18,f2447]) ).

fof(f2669,plain,
    ! [X0,X1] : join(X0,complement(X1)) = complement(meet(complement(X0),X1)),
    inference(paramodulation,[status(thm)],[f756,f790]) ).

fof(f2926,plain,
    ! [X0] : join(X0,complement(converse(complement(converse(complement(complement(X0))))))) = complement(complement(X0)),
    inference(paramodulation,[status(thm)],[f2289,f2669]) ).

fof(f2953,plain,
    ! [X0] : join(X0,complement(converse(complement(converse(X0))))) = complement(complement(X0)),
    inference(forward_demodulation,[status(thm)],[f756,f2926]) ).

fof(f2954,plain,
    ! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
    inference(forward_demodulation,[status(thm)],[f756,f2953]) ).

fof(f3007,plain,
    ! [X0] : join(converse(X0),complement(converse(complement(X0)))) = converse(X0),
    inference(paramodulation,[status(thm)],[f25,f2954]) ).

fof(f3047,plain,
    ! [X0] : complement(converse(complement(X0))) = converse(X0),
    inference(forward_demodulation,[status(thm)],[f2482,f3007]) ).

fof(f3118,plain,
    ! [X0] : complement(converse(X0)) = converse(complement(X0)),
    inference(paramodulation,[status(thm)],[f756,f3047]) ).

fof(f3195,plain,
    ! [X0,X1] : converse(composition(X0,complement(converse(X1)))) = composition(complement(X1),converse(X0)),
    inference(paramodulation,[status(thm)],[f3118,f80]) ).

fof(f3200,plain,
    ! [X0,X1] : converse(composition(complement(X0),X1)) = composition(converse(X1),complement(converse(X0))),
    inference(paramodulation,[status(thm)],[f3118,f27]) ).

fof(f3650,plain,
    ! [X0,X1] : join(X0,composition(X1,complement(composition(converse(X1),complement(X0))))) = X0,
    inference(paramodulation,[status(thm)],[f25,f836]) ).

fof(f3723,plain,
    ! [X0,X1] : converse(converse(X0)) = join(X0,converse(composition(X1,complement(composition(converse(X1),complement(converse(X0))))))),
    inference(paramodulation,[status(thm)],[f3650,f98]) ).

fof(f3748,plain,
    ! [X0,X1] : X0 = join(X0,converse(composition(X1,complement(composition(converse(X1),complement(converse(X0))))))),
    inference(forward_demodulation,[status(thm)],[f25,f3723]) ).

fof(f3749,plain,
    ! [X0,X1] : X0 = join(X0,converse(composition(X1,complement(converse(composition(complement(X0),X1)))))),
    inference(forward_demodulation,[status(thm)],[f3200,f3748]) ).

fof(f3750,plain,
    ! [X0,X1] : X0 = join(X0,composition(complement(composition(complement(X0),X1)),converse(X1))),
    inference(forward_demodulation,[status(thm)],[f3195,f3749]) ).

fof(f4182,plain,
    ! [X0,X1] : complement(X0) = join(complement(X0),composition(complement(composition(X0,X1)),converse(X1))),
    inference(paramodulation,[status(thm)],[f756,f3750]) ).

fof(f4216,plain,
    complement(sk1) != complement(sk1),
    inference(backward_demodulation,[status(thm)],[f4182,f45]) ).

fof(f4230,plain,
    $false,
    inference(trivial_equality_resolution,[status(thm)],[f4216]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : REL012-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44  % Computer : n013.cluster.edu
% 0.17/0.44  % Model    : x86_64 x86_64
% 0.17/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44  % Memory   : 8046.5625MB
% 0.17/0.44  % OS       : Linux 6.8.0-71-generic
% 0.17/0.44  % CPULimit : 300
% 0.17/0.44  % WCLimit  : 300
% 0.17/0.44  % DateTime : Mon Sep 21 03:58:05 UTC 2026
% 0.17/0.44  % CPUTime  : 
% 0.17/0.45  % Drodi V4.1.1
% 8.08/1.97  % Refutation found
% 8.08/1.97  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 8.08/1.97  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 10.18/2.04  % Elapsed time: 1.584206 seconds
% 10.18/2.04  % CPU time: 11.975710 seconds
% 10.18/2.04  % Total memory used: 148.532 MB
% 10.18/2.04  % Net memory used: 145.797 MB
%------------------------------------------------------------------------------