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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : REL015+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n017.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 : Sun Sep 27 08:24:16 AM UTC 2026

% Result   : Theorem 100.90s 13.50s
% Output   : CNFRefutation 100.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   56
%            Number of leaves      :   12
% Syntax   : Number of formulae    :  158 ( 158 unt;   0 def)
%            Number of atoms       :  158 ( 157 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :  212 (  24 sgn  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(maddux1_join_commutativity,axiom,
    ! [X0,X1] : join(X0,X1) = join(X1,X0) ).

fof(maddux2_join_associativity,axiom,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2) ).

fof(maddux3_a_kind_of_de_Morgan,axiom,
    ! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) ).

fof(maddux4_definiton_of_meet,axiom,
    ! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))) ).

fof(composition_associativity,axiom,
    ! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2) ).

fof(composition_identity,axiom,
    ! [X0] : composition(X0,one) = X0 ).

fof(composition_distributivity,axiom,
    ! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)) ).

fof(converse_idempotence,axiom,
    ! [X0] : converse(converse(X0)) = X0 ).

fof(converse_multiplicativity,axiom,
    ! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)) ).

fof(def_top,axiom,
    ! [X0] : top = join(X0,complement(X0)) ).

fof(def_zero,axiom,
    ! [X0] : zero = meet(X0,complement(X0)) ).

fof(goals,conjecture,
    composition(top,top) = top ).

fof(negated_conjecture,negated_conjecture,
    composition(top,top) != top,
    inference(negate_conjecture,[status(cth)],[goals]) ).

cnf(c0,plain,
    join(X0,X1) = join(X1,X0),
    inference(clausification,[status(esa)],[maddux1_join_commutativity]) ).

cnf(c1,plain,
    join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    inference(clausification,[status(esa)],[maddux2_join_associativity]) ).

cnf(c2,plain,
    X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
    inference(clausification,[status(esa)],[maddux3_a_kind_of_de_Morgan]) ).

cnf(c3,plain,
    meet(X0,X1) = complement(join(complement(X0),complement(X1))),
    inference(clausification,[status(esa)],[maddux4_definiton_of_meet]) ).

cnf(c4,plain,
    composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
    inference(clausification,[status(esa)],[composition_associativity]) ).

cnf(c5,plain,
    composition(X0,one) = X0,
    inference(clausification,[status(esa)],[composition_identity]) ).

cnf(c6,plain,
    composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
    inference(clausification,[status(esa)],[composition_distributivity]) ).

cnf(c7,plain,
    converse(converse(X0)) = X0,
    inference(clausification,[status(esa)],[converse_idempotence]) ).

cnf(c9,plain,
    converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
    inference(clausification,[status(esa)],[converse_multiplicativity]) ).

cnf(c11,plain,
    top = join(X0,complement(X0)),
    inference(clausification,[status(esa)],[def_top]) ).

cnf(c12,plain,
    zero = meet(X0,complement(X0)),
    inference(clausification,[status(esa)],[def_zero]) ).

cnf(c13,plain,
    composition(top,top) != top,
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
    inference(demodulation,[status(thm)],[c2,c0]) ).

cnf(d1,plain,
    X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
    inference(demodulation,[status(thm)],[d0,c3]) ).

cnf(d2,plain,
    X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
    inference(demodulation,[status(thm)],[d1,c0]) ).

cnf(d3,plain,
    X0 = join(zero,complement(join(complement(X0),complement(X0)))),
    inference(superposition,[status(thm)],[c12,d2]) ).

cnf(d4,plain,
    X0 = join(zero,meet(X0,X0)),
    inference(demodulation,[status(thm)],[d3,c3]) ).

cnf(d5,plain,
    meet(X0,complement(X0)) = complement(top),
    inference(superposition,[status(thm)],[c11,c3]) ).

cnf(d6,plain,
    zero = complement(top),
    inference(demodulation,[status(thm)],[d5,c12]) ).

cnf(d7,plain,
    top = join(top,zero),
    inference(superposition,[status(thm)],[d6,c11]) ).

cnf(d8,plain,
    join(top,join(zero,X0)) = join(top,X0),
    inference(superposition,[status(thm)],[d7,c1]) ).

cnf(d9,plain,
    join(top,join(X0,zero)) = join(top,X0),
    inference(superposition,[status(thm)],[c0,d8]) ).

cnf(d10,plain,
    join(top,X0) = join(top,meet(X0,X0)),
    inference(superposition,[status(thm)],[d4,d8]) ).

cnf(d11,plain,
    top = join(X0,join(X1,complement(join(X0,X1)))),
    inference(superposition,[status(thm)],[c1,c11]) ).

cnf(d12,plain,
    X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
    inference(superposition,[status(thm)],[c3,d2]) ).

cnf(d13,plain,
    X0 = join(meet(X0,X1),meet(X0,complement(X1))),
    inference(demodulation,[status(thm)],[d12,c0]) ).

cnf(d14,plain,
    meet(top,X0) = complement(join(zero,complement(X0))),
    inference(superposition,[status(thm)],[d6,c3]) ).

cnf(d15,plain,
    meet(X0,top) = complement(join(complement(X0),zero)),
    inference(superposition,[status(thm)],[d6,c3]) ).

cnf(d16,plain,
    meet(X0,top) = complement(join(zero,complement(X0))),
    inference(demodulation,[status(thm)],[d15,c0]) ).

cnf(d17,plain,
    meet(top,X0) = meet(X0,top),
    inference(superposition,[status(thm)],[d16,d14]) ).

cnf(d18,plain,
    meet(zero,top) = complement(top),
    inference(superposition,[status(thm)],[c11,d16]) ).

cnf(d19,plain,
    meet(zero,top) = zero,
    inference(demodulation,[status(thm)],[d18,d6]) ).

cnf(d20,plain,
    meet(top,zero) = zero,
    inference(demodulation,[status(thm)],[d19,d17]) ).

cnf(d21,plain,
    top = join(zero,meet(top,complement(zero))),
    inference(superposition,[status(thm)],[d20,d13]) ).

cnf(d22,plain,
    meet(X0,X1) = complement(join(complement(X1),complement(X0))),
    inference(superposition,[status(thm)],[c0,c3]) ).

cnf(d23,plain,
    meet(X0,X1) = meet(X1,X0),
    inference(superposition,[status(thm)],[d22,c3]) ).

cnf(d24,plain,
    meet(X2,join(complement(X0),complement(X1))) = complement(join(complement(X2),meet(X0,X1))),
    inference(superposition,[status(thm)],[c3,c3]) ).

cnf(d25,plain,
    meet(top,join(complement(X0),complement(X1))) = complement(join(zero,meet(X0,X1))),
    inference(superposition,[status(thm)],[c3,d14]) ).

cnf(d26,plain,
    complement(join(complement(top),meet(X0,X1))) = complement(join(zero,meet(X0,X1))),
    inference(demodulation,[status(thm)],[d25,d24]) ).

cnf(d27,plain,
    complement(join(zero,meet(X0,X1))) = complement(join(zero,meet(X0,X1))),
    inference(demodulation,[status(thm)],[d26,d6]) ).

cnf(d28,plain,
    complement(join(zero,meet(X0,X0))) = complement(X0),
    inference(superposition,[status(thm)],[d4,d27]) ).

cnf(d29,plain,
    complement(X0) = complement(X0),
    inference(demodulation,[status(thm)],[d28,d4]) ).

cnf(d30,plain,
    complement(top) = zero,
    inference(superposition,[status(thm)],[d6,d29]) ).

cnf(d31,plain,
    X0 = join(meet(X0,top),meet(X0,zero)),
    inference(superposition,[status(thm)],[d30,d13]) ).

cnf(d32,plain,
    X0 = join(meet(X0,top),meet(zero,X0)),
    inference(superposition,[status(thm)],[d23,d31]) ).

cnf(d33,plain,
    complement(zero) = join(meet(complement(zero),top),zero),
    inference(superposition,[status(thm)],[c12,d32]) ).

cnf(d34,plain,
    complement(zero) = join(zero,meet(complement(zero),top)),
    inference(demodulation,[status(thm)],[d33,c0]) ).

cnf(d35,plain,
    complement(zero) = join(zero,meet(top,complement(zero))),
    inference(demodulation,[status(thm)],[d34,d23]) ).

cnf(d36,plain,
    complement(zero) = top,
    inference(demodulation,[status(thm)],[d35,d21]) ).

cnf(d37,plain,
    meet(zero,X0) = complement(join(top,complement(X0))),
    inference(superposition,[status(thm)],[d36,c3]) ).

cnf(d38,plain,
    meet(zero,zero) = complement(join(top,top)),
    inference(superposition,[status(thm)],[d36,d37]) ).

cnf(d39,plain,
    top = join(top,join(top,meet(zero,zero))),
    inference(superposition,[status(thm)],[d38,d11]) ).

cnf(d40,plain,
    top = join(top,join(top,zero)),
    inference(demodulation,[status(thm)],[d39,d10]) ).

cnf(d41,plain,
    top = join(top,top),
    inference(demodulation,[status(thm)],[d40,d9]) ).

cnf(d42,plain,
    complement(join(top,top)) = meet(zero,zero),
    inference(superposition,[status(thm)],[d38,d29]) ).

cnf(d43,plain,
    complement(top) = meet(zero,zero),
    inference(demodulation,[status(thm)],[d42,d41]) ).

cnf(d44,plain,
    zero = meet(zero,zero),
    inference(demodulation,[status(thm)],[d43,d6]) ).

cnf(d45,plain,
    zero = join(zero,zero),
    inference(superposition,[status(thm)],[d44,d4]) ).

cnf(d46,plain,
    join(zero,join(zero,X0)) = join(zero,X0),
    inference(superposition,[status(thm)],[d45,c1]) ).

cnf(d47,plain,
    join(zero,X0) = join(zero,meet(X0,X0)),
    inference(superposition,[status(thm)],[d4,d46]) ).

cnf(d48,plain,
    join(zero,X0) = X0,
    inference(demodulation,[status(thm)],[d47,d4]) ).

cnf(d49,plain,
    X0 = join(zero,meet(X0,complement(complement(X0)))),
    inference(superposition,[status(thm)],[c12,d13]) ).

cnf(d50,plain,
    X0 = meet(X0,complement(complement(X0))),
    inference(demodulation,[status(thm)],[d49,d48]) ).

cnf(d51,plain,
    meet(X0,top) = complement(complement(X0)),
    inference(demodulation,[status(thm)],[d16,d48]) ).

cnf(d52,plain,
    join(X2,join(X0,X1)) = join(X0,join(X1,X2)),
    inference(superposition,[status(thm)],[c1,c0]) ).

cnf(d53,plain,
    zero = meet(join(zero,complement(X0)),meet(X0,top)),
    inference(superposition,[status(thm)],[d16,c12]) ).

cnf(d54,plain,
    zero = meet(meet(X0,top),join(zero,complement(X0))),
    inference(demodulation,[status(thm)],[d53,d23]) ).

cnf(d55,plain,
    meet(X0,top) = join(zero,complement(join(complement(meet(X0,top)),join(zero,complement(X0))))),
    inference(superposition,[status(thm)],[d54,d2]) ).

cnf(d56,plain,
    complement(complement(X0)) = join(zero,complement(join(complement(meet(X0,top)),join(zero,complement(X0))))),
    inference(demodulation,[status(thm)],[d55,d51]) ).

cnf(d57,plain,
    complement(complement(X0)) = complement(join(complement(meet(X0,top)),join(zero,complement(X0)))),
    inference(demodulation,[status(thm)],[d56,d48]) ).

cnf(d58,plain,
    complement(complement(X0)) = complement(join(complement(X0),join(complement(meet(X0,top)),zero))),
    inference(demodulation,[status(thm)],[d57,d52]) ).

cnf(d59,plain,
    complement(complement(X0)) = complement(join(zero,join(complement(X0),complement(meet(X0,top))))),
    inference(demodulation,[status(thm)],[d58,d52]) ).

cnf(d60,plain,
    complement(complement(X0)) = complement(join(complement(X0),complement(meet(X0,top)))),
    inference(demodulation,[status(thm)],[d59,d48]) ).

cnf(d61,plain,
    complement(complement(X0)) = meet(X0,meet(X0,top)),
    inference(demodulation,[status(thm)],[d60,c3]) ).

cnf(d62,plain,
    complement(complement(X0)) = meet(X0,complement(complement(X0))),
    inference(demodulation,[status(thm)],[d61,d51]) ).

cnf(d63,plain,
    complement(complement(X0)) = X0,
    inference(demodulation,[status(thm)],[d62,d50]) ).

cnf(d64,plain,
    complement(join(zero,complement(X0))) = meet(top,X0),
    inference(superposition,[status(thm)],[d14,d29]) ).

cnf(d65,plain,
    complement(complement(X0)) = meet(top,X0),
    inference(demodulation,[status(thm)],[d64,d48]) ).

cnf(d66,plain,
    X0 = meet(top,X0),
    inference(demodulation,[status(thm)],[d65,d63]) ).

cnf(d67,plain,
    join(zero,X0) = join(zero,join(X0,zero)),
    inference(superposition,[status(thm)],[d46,d52]) ).

cnf(d68,plain,
    X0 = join(zero,join(X0,zero)),
    inference(demodulation,[status(thm)],[d67,d48]) ).

cnf(d69,plain,
    X0 = join(X0,zero),
    inference(demodulation,[status(thm)],[d68,d48]) ).

cnf(d70,plain,
    join(zero,join(X0,X1)) = join(X0,X1),
    inference(superposition,[status(thm)],[d48,c1]) ).

cnf(d71,plain,
    join(X0,X1) = join(X0,X1),
    inference(demodulation,[status(thm)],[d70,d48]) ).

cnf(d72,plain,
    X0 = join(meet(X0,complement(X1)),meet(X1,X0)),
    inference(superposition,[status(thm)],[d22,d2]) ).

cnf(d73,plain,
    X0 = join(meet(X1,X0),meet(X0,complement(X1))),
    inference(demodulation,[status(thm)],[d72,c0]) ).

cnf(d74,plain,
    join(meet(X0,X1),meet(X1,complement(X0))) = X1,
    inference(superposition,[status(thm)],[d73,d71]) ).

cnf(d75,plain,
    join(meet(X0,X1),join(complement(join(complement(X0),X1)),X2)) = join(X0,X2),
    inference(superposition,[status(thm)],[d2,c1]) ).

cnf(d76,plain,
    join(X0,join(complement(X0),X1)) = join(top,X1),
    inference(superposition,[status(thm)],[c11,c1]) ).

cnf(d77,plain,
    top = join(join(complement(X0),complement(X1)),meet(X1,X0)),
    inference(superposition,[status(thm)],[d22,c11]) ).

cnf(d78,plain,
    top = join(complement(X0),join(complement(X1),meet(X1,X0))),
    inference(demodulation,[status(thm)],[d77,c1]) ).

cnf(d79,plain,
    X0 = meet(X0,X0),
    inference(demodulation,[status(thm)],[d4,d48]) ).

cnf(d80,plain,
    top = join(complement(X0),join(complement(X0),X0)),
    inference(superposition,[status(thm)],[d79,d78]) ).

cnf(d81,plain,
    top = join(X0,join(complement(X0),complement(X0))),
    inference(demodulation,[status(thm)],[d80,d52]) ).

cnf(d82,plain,
    top = join(top,complement(X0)),
    inference(demodulation,[status(thm)],[d81,d76]) ).

cnf(d83,plain,
    X0 = complement(complement(X0)),
    inference(superposition,[status(thm)],[d63,d29]) ).

cnf(d84,plain,
    top = join(top,X0),
    inference(superposition,[status(thm)],[d83,d82]) ).

cnf(d85,plain,
    meet(X0,top) = X0,
    inference(demodulation,[status(thm)],[d51,d63]) ).

cnf(d86,plain,
    top = join(join(zero,complement(X0)),meet(X0,top)),
    inference(superposition,[status(thm)],[d16,c11]) ).

cnf(d87,plain,
    top = join(zero,join(complement(X0),meet(X0,top))),
    inference(demodulation,[status(thm)],[d86,c1]) ).

cnf(d88,plain,
    join(zero,join(join(complement(X0),meet(X0,top)),X1)) = join(top,X1),
    inference(superposition,[status(thm)],[d87,c1]) ).

cnf(d89,plain,
    join(join(complement(X0),meet(X0,top)),X1) = join(top,X1),
    inference(demodulation,[status(thm)],[d88,d48]) ).

cnf(d90,plain,
    join(complement(X0),join(meet(X0,top),X1)) = join(top,X1),
    inference(demodulation,[status(thm)],[d89,c1]) ).

cnf(d91,plain,
    join(complement(X0),join(X0,X1)) = join(top,X1),
    inference(demodulation,[status(thm)],[d90,d85]) ).

cnf(d92,plain,
    join(X0,join(X1,complement(X0))) = join(top,X1),
    inference(demodulation,[status(thm)],[d91,d52]) ).

cnf(d93,plain,
    join(X1,join(X0,complement(X1))) = top,
    inference(demodulation,[status(thm)],[d92,d84]) ).

cnf(d94,plain,
    top = join(X0,complement(meet(X0,X1))),
    inference(superposition,[status(thm)],[d93,d75]) ).

cnf(d95,plain,
    meet(meet(complement(X0),X1),X0) = complement(top),
    inference(superposition,[status(thm)],[d94,d22]) ).

cnf(d96,plain,
    meet(X0,meet(complement(X0),X1)) = complement(top),
    inference(demodulation,[status(thm)],[d95,d23]) ).

cnf(d97,plain,
    meet(X0,meet(complement(X0),X1)) = zero,
    inference(demodulation,[status(thm)],[d96,d6]) ).

cnf(d98,plain,
    meet(X0,meet(X1,complement(X0))) = zero,
    inference(superposition,[status(thm)],[d23,d97]) ).

cnf(d99,plain,
    meet(complement(X0),meet(X1,X0)) = zero,
    inference(superposition,[status(thm)],[d83,d98]) ).

cnf(d100,plain,
    X0 = join(meet(X0,join(complement(complement(X0)),X1)),complement(join(top,X1))),
    inference(superposition,[status(thm)],[d76,d2]) ).

cnf(d101,plain,
    X0 = join(complement(join(top,X1)),meet(X0,join(complement(complement(X0)),X1))),
    inference(demodulation,[status(thm)],[d100,c0]) ).

cnf(d102,plain,
    X1 = join(complement(top),meet(X1,join(complement(complement(X1)),X0))),
    inference(demodulation,[status(thm)],[d101,d84]) ).

cnf(d103,plain,
    X0 = join(zero,meet(X0,join(complement(complement(X0)),X1))),
    inference(demodulation,[status(thm)],[d102,d6]) ).

cnf(d104,plain,
    X0 = meet(X0,join(complement(complement(X0)),X1)),
    inference(demodulation,[status(thm)],[d103,d48]) ).

cnf(d105,plain,
    X0 = meet(X0,join(X0,X1)),
    inference(demodulation,[status(thm)],[d104,d63]) ).

cnf(d106,plain,
    X0 = meet(X0,join(X1,X0)),
    inference(superposition,[status(thm)],[c0,d105]) ).

cnf(d107,plain,
    meet(complement(join(X1,X0)),X0) = zero,
    inference(superposition,[status(thm)],[d106,d99]) ).

cnf(d108,plain,
    meet(X1,complement(join(X0,X1))) = zero,
    inference(demodulation,[status(thm)],[d107,d23]) ).

cnf(d109,plain,
    join(meet(join(X1,X0),X0),zero) = X0,
    inference(superposition,[status(thm)],[d108,d74]) ).

cnf(d110,plain,
    meet(join(X0,X1),X1) = X1,
    inference(demodulation,[status(thm)],[d109,d69]) ).

cnf(d111,plain,
    meet(X1,join(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[d110,d23]) ).

cnf(d112,plain,
    meet(X1,join(X1,X0)) = X1,
    inference(superposition,[status(thm)],[c0,d111]) ).

cnf(d113,plain,
    converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
    inference(superposition,[status(thm)],[c7,c9]) ).

cnf(d114,plain,
    composition(X0,composition(X1,one)) = composition(X0,X1),
    inference(superposition,[status(thm)],[c4,c5]) ).

cnf(d115,plain,
    composition(X1,X0) = composition(X1,X0),
    inference(demodulation,[status(thm)],[d114,c5]) ).

cnf(d116,plain,
    X0 = composition(X0,one),
    inference(superposition,[status(thm)],[c5,d115]) ).

cnf(d117,plain,
    converse(converse(X0)) = composition(converse(one),X0),
    inference(superposition,[status(thm)],[d116,d113]) ).

cnf(d118,plain,
    X0 = composition(converse(one),X0),
    inference(demodulation,[status(thm)],[d117,c7]) ).

cnf(d119,plain,
    one = converse(one),
    inference(superposition,[status(thm)],[d118,c5]) ).

cnf(d120,plain,
    composition(join(X1,converse(one)),X0) = join(composition(X1,X0),X0),
    inference(superposition,[status(thm)],[d118,c6]) ).

cnf(d121,plain,
    composition(join(X0,one),X1) = join(composition(X0,X1),X1),
    inference(demodulation,[status(thm)],[d120,d119]) ).

cnf(d122,plain,
    composition(join(X0,one),X1) = join(X1,composition(X0,X1)),
    inference(demodulation,[status(thm)],[d121,c0]) ).

cnf(d123,plain,
    meet(X0,composition(join(X1,one),X0)) = X0,
    inference(superposition,[status(thm)],[d122,d112]) ).

cnf(d124,plain,
    top = join(X0,top),
    inference(superposition,[status(thm)],[d82,d11]) ).

cnf(d125,plain,
    join(X0,join(X1,X2)) = join(join(X1,X0),X2),
    inference(superposition,[status(thm)],[c0,c1]) ).

cnf(d126,plain,
    join(top,join(top,X0)) = join(top,X0),
    inference(superposition,[status(thm)],[d41,d125]) ).

cnf(d127,plain,
    join(top,X0) = join(top,join(X0,top)),
    inference(superposition,[status(thm)],[d126,d52]) ).

cnf(d128,plain,
    join(top,X0) = join(top,top),
    inference(demodulation,[status(thm)],[d127,d124]) ).

cnf(d129,plain,
    join(top,X0) = top,
    inference(demodulation,[status(thm)],[d128,d124]) ).

cnf(d130,plain,
    meet(X0,composition(top,X0)) = X0,
    inference(superposition,[status(thm)],[d129,d123]) ).

cnf(d131,plain,
    composition(top,top) = top,
    inference(superposition,[status(thm)],[d130,d66]) ).

cnf(d132,plain,
    $false,
    inference(resolution,[status(thm)],[c13,d131]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : REL015+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.44  % Computer : n017.cluster.edu
% 0.16/0.44  % Model    : x86_64 x86_64
% 0.16/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44  % Memory   : 8046.5625MB
% 0.16/0.44  % OS       : Linux 6.8.0-71-generic
% 0.16/0.44  % CPULimit : 300
% 0.16/0.44  % WCLimit  : 300
% 0.16/0.44  % DateTime : Sat Sep 26 05:22:48 UTC 2026
% 0.16/0.45  % CPUTime  : 
% 0.16/0.45  Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 100.90/13.50  % SZS status Theorem for theBenchmark.p
% 100.90/13.50  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------