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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : KLE131+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 : n015.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 07:43:38 AM UTC 2026

% Result   : Theorem 106.06s 15.63s
% Output   : CNFRefutation 106.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  119 ( 111 unt;   0 def)
%            Number of atoms       :  127 ( 108 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   16 (   8   ~;   5   |;   0   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   3 con; 0-2 aty)
%            Number of variables   :  168 (  13 sgn  36   !;   0   ?)

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

fof(additive_associativity,axiom,
    ! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0) ).

fof(additive_identity,axiom,
    ! [X0] : addition(X0,zero) = X0 ).

fof(additive_idempotence,axiom,
    ! [X0] : addition(X0,X0) = X0 ).

fof(multiplicative_associativity,axiom,
    ! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2) ).

fof(multiplicative_right_identity,axiom,
    ! [X0] : multiplication(X0,one) = X0 ).

fof(multiplicative_left_identity,axiom,
    ! [X0] : multiplication(one,X0) = X0 ).

fof(right_distributivity,axiom,
    ! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)) ).

fof(left_distributivity,axiom,
    ! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)) ).

fof(right_annihilation,axiom,
    ! [X0] : multiplication(X0,zero) = zero ).

fof(left_annihilation,axiom,
    ! [X0] : multiplication(zero,X0) = zero ).

fof(order,axiom,
    ! [X0,X1] :
      ( leq(X0,X1)
    <=> addition(X0,X1) = X1 ) ).

fof(domain1,axiom,
    ! [X0] : multiplication(antidomain(X0),X0) = zero ).

fof(domain2,axiom,
    ! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))) ).

fof(domain3,axiom,
    ! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one ).

fof(domain4,axiom,
    ! [X0] : domain(X0) = antidomain(antidomain(X0)) ).

fof(domain_difference,axiom,
    ! [X0,X1] : 'domain$udifference'(X0,X1) = multiplication(domain(X0),antidomain(X1)) ).

fof(forward_diamond,axiom,
    ! [X0,X1] : 'forward$udiamond'(X0,X1) = domain(multiplication(X0,domain(X1))) ).

fof(divergence1,axiom,
    ! [X0] : 'forward$udiamond'(X0,divergence(X0)) = divergence(X0) ).

fof(goals,conjecture,
    ! [X0] :
      ( ! [X1] : addition(domain(X1),'forward$udiamond'(star(X0),'domain$udifference'(domain(X1),'forward$udiamond'(X0,domain(X1))))) = 'forward$udiamond'(star(X0),'domain$udifference'(domain(X1),'forward$udiamond'(X0,domain(X1))))
     => divergence(X0) = zero ) ).

fof(negated_conjecture,negated_conjecture,
    ~ ! [X0] :
        ( ! [X1] : addition(domain(X1),'forward$udiamond'(star(X0),'domain$udifference'(domain(X1),'forward$udiamond'(X0,domain(X1))))) = 'forward$udiamond'(star(X0),'domain$udifference'(domain(X1),'forward$udiamond'(X0,domain(X1))))
       => divergence(X0) = zero ),
    inference(negate_conjecture,[status(cth)],[goals]) ).

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

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

cnf(c2,plain,
    addition(X0,zero) = X0,
    inference(clausification,[status(esa)],[additive_identity]) ).

cnf(c3,plain,
    addition(X0,X0) = X0,
    inference(clausification,[status(esa)],[additive_idempotence]) ).

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

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

cnf(c6,plain,
    multiplication(one,X0) = X0,
    inference(clausification,[status(esa)],[multiplicative_left_identity]) ).

cnf(c7,plain,
    multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    inference(clausification,[status(esa)],[right_distributivity]) ).

cnf(c8,plain,
    multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    inference(clausification,[status(esa)],[left_distributivity]) ).

cnf(c9,plain,
    multiplication(X0,zero) = zero,
    inference(clausification,[status(esa)],[right_annihilation]) ).

cnf(c10,plain,
    multiplication(zero,X0) = zero,
    inference(clausification,[status(esa)],[left_annihilation]) ).

cnf(c11,plain,
    ( addition(X0,X1) = X1
    | ~ leq(X0,X1) ),
    inference(clausification,[status(esa)],[order]) ).

cnf(c12,plain,
    ( addition(X0,X1) != X1
    | leq(X0,X1) ),
    inference(clausification,[status(esa)],[order]) ).

cnf(c13,plain,
    multiplication(antidomain(X0),X0) = zero,
    inference(clausification,[status(esa)],[domain1]) ).

cnf(c14,plain,
    addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
    inference(clausification,[status(esa)],[domain2]) ).

cnf(c15,plain,
    addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
    inference(clausification,[status(esa)],[domain3]) ).

cnf(c16,plain,
    domain(X0) = antidomain(antidomain(X0)),
    inference(clausification,[status(esa)],[domain4]) ).

cnf(c22,plain,
    'domain$udifference'(X0,X1) = multiplication(domain(X0),antidomain(X1)),
    inference(clausification,[status(esa)],[domain_difference]) ).

cnf(c23,plain,
    'forward$udiamond'(X0,X1) = domain(multiplication(X0,domain(X1))),
    inference(clausification,[status(esa)],[forward_diamond]) ).

cnf(c27,plain,
    'forward$udiamond'(X0,divergence(X0)) = divergence(X0),
    inference(clausification,[status(esa)],[divergence1]) ).

cnf(c29,plain,
    addition(domain(X0),'forward$udiamond'(star(sK47),'domain$udifference'(domain(X0),'forward$udiamond'(sK47,domain(X0))))) = 'forward$udiamond'(star(sK47),'domain$udifference'(domain(X0),'forward$udiamond'(sK47,domain(X0)))),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c30,plain,
    divergence(sK47) != zero,
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    addition(antidomain(X0),antidomain(antidomain(X0))) = one,
    inference(demodulation,[status(thm)],[c15,c0]) ).

cnf(d1,plain,
    addition(antidomain(X0),domain(X0)) = one,
    inference(demodulation,[status(thm)],[d0,c16]) ).

cnf(d2,plain,
    addition(domain(X0),antidomain(X0)) = one,
    inference(demodulation,[status(thm)],[d1,c0]) ).

cnf(d3,plain,
    addition(X2,addition(X0,X1)) = addition(X0,addition(X1,X2)),
    inference(superposition,[status(thm)],[c1,c0]) ).

cnf(d4,plain,
    addition(antidomain(X0),addition(antidomain(antidomain(X0)),X1)) = addition(one,X1),
    inference(superposition,[status(thm)],[d0,c1]) ).

cnf(d5,plain,
    addition(antidomain(X0),addition(domain(X0),X1)) = addition(one,X1),
    inference(demodulation,[status(thm)],[d4,c16]) ).

cnf(d6,plain,
    addition(domain(X0),addition(X1,antidomain(X0))) = addition(one,X1),
    inference(demodulation,[status(thm)],[d5,d3]) ).

cnf(d7,plain,
    addition(domain(X0),antidomain(X0)) = addition(one,antidomain(X0)),
    inference(superposition,[status(thm)],[c3,d6]) ).

cnf(d8,plain,
    one = addition(one,antidomain(X0)),
    inference(demodulation,[status(thm)],[d7,d2]) ).

cnf(d9,plain,
    addition(zero,X0) = X0,
    inference(superposition,[status(thm)],[c2,c0]) ).

cnf(d10,plain,
    antidomain(one) = zero,
    inference(superposition,[status(thm)],[c5,c13]) ).

cnf(d11,plain,
    addition(domain(one),addition(X0,zero)) = addition(one,X0),
    inference(superposition,[status(thm)],[d10,d6]) ).

cnf(d12,plain,
    addition(zero,addition(domain(one),X0)) = addition(one,X0),
    inference(demodulation,[status(thm)],[d11,d3]) ).

cnf(d13,plain,
    addition(domain(one),X0) = addition(one,X0),
    inference(demodulation,[status(thm)],[d12,d9]) ).

cnf(d14,plain,
    zero = antidomain(one),
    inference(superposition,[status(thm)],[c13,c5]) ).

cnf(d15,plain,
    domain(one) = antidomain(zero),
    inference(superposition,[status(thm)],[d14,c16]) ).

cnf(d16,plain,
    addition(antidomain(multiplication(X1,X0)),antidomain(multiplication(X1,domain(X0)))) = antidomain(multiplication(X1,antidomain(antidomain(X0)))),
    inference(demodulation,[status(thm)],[c14,c16]) ).

cnf(d17,plain,
    addition(antidomain(multiplication(X1,X0)),antidomain(multiplication(X1,domain(X0)))) = antidomain(multiplication(X1,domain(X0))),
    inference(demodulation,[status(thm)],[d16,c16]) ).

cnf(d18,plain,
    addition(antidomain(zero),antidomain(multiplication(X0,domain(zero)))) = antidomain(multiplication(X0,domain(zero))),
    inference(superposition,[status(thm)],[c9,d17]) ).

cnf(d19,plain,
    addition(domain(one),antidomain(multiplication(X0,domain(zero)))) = antidomain(multiplication(X0,domain(zero))),
    inference(demodulation,[status(thm)],[d18,d15]) ).

cnf(d20,plain,
    addition(one,antidomain(multiplication(X0,domain(zero)))) = antidomain(multiplication(X0,domain(zero))),
    inference(demodulation,[status(thm)],[d19,d13]) ).

cnf(d21,plain,
    one = antidomain(multiplication(X0,domain(zero))),
    inference(demodulation,[status(thm)],[d20,d8]) ).

cnf(d22,plain,
    multiplication(antidomain(X0),addition(X1,X0)) = addition(multiplication(antidomain(X0),X1),zero),
    inference(superposition,[status(thm)],[c13,c7]) ).

cnf(d23,plain,
    multiplication(antidomain(X0),addition(X1,X0)) = multiplication(antidomain(X0),X1),
    inference(demodulation,[status(thm)],[d22,c2]) ).

cnf(d24,plain,
    multiplication(antidomain('forward$udiamond'(star(sK47),'domain$udifference'(domain(X0),'forward$udiamond'(sK47,domain(X0))))),'forward$udiamond'(star(sK47),'domain$udifference'(domain(X0),'forward$udiamond'(sK47,domain(X0))))) = multiplication(antidomain('forward$udiamond'(star(sK47),'domain$udifference'(domain(X0),'forward$udiamond'(sK47,domain(X0))))),domain(X0)),
    inference(superposition,[status(thm)],[c29,d23]) ).

cnf(d25,plain,
    zero = multiplication(antidomain('forward$udiamond'(star(sK47),'domain$udifference'(domain(X0),'forward$udiamond'(sK47,domain(X0))))),domain(X0)),
    inference(demodulation,[status(thm)],[d24,c13]) ).

cnf(d26,plain,
    one = antidomain(zero),
    inference(superposition,[status(thm)],[d25,d21]) ).

cnf(d27,plain,
    domain(one) = one,
    inference(demodulation,[status(thm)],[d15,d26]) ).

cnf(d28,plain,
    multiplication(X0,multiplication(one,X1)) = multiplication(X0,X1),
    inference(superposition,[status(thm)],[c5,c4]) ).

cnf(d29,plain,
    multiplication(X1,X0) = multiplication(X1,X0),
    inference(demodulation,[status(thm)],[d28,c6]) ).

cnf(d30,plain,
    ( leq(multiplication(X0,X1),multiplication(X2,X1))
    | multiplication(addition(X0,X2),X1) != multiplication(X2,X1) ),
    inference(superposition,[status(thm)],[c8,c12]) ).

cnf(d31,plain,
    addition(X0,addition(X0,X1)) = addition(X0,X1),
    inference(superposition,[status(thm)],[c3,c1]) ).

cnf(d32,plain,
    ( leq(multiplication(X0,X2),multiplication(addition(X0,X1),X2))
    | multiplication(addition(X0,X1),X2) != multiplication(addition(X0,X1),X2) ),
    inference(superposition,[status(thm)],[d31,d30]) ).

cnf(d33,plain,
    leq(multiplication(X0,X1),multiplication(addition(X0,X2),X1)),
    inference(resolution,[status(thm)],[d29,d32]) ).

cnf(d34,plain,
    multiplication(domain(X0),antidomain(X0)) = zero,
    inference(superposition,[status(thm)],[c16,c13]) ).

cnf(d35,plain,
    'domain$udifference'(X0,X0) = zero,
    inference(demodulation,[status(thm)],[d34,c22]) ).

cnf(d36,plain,
    ( leq(domain(X0),'forward$udiamond'(star(sK47),'domain$udifference'(domain(X0),'forward$udiamond'(sK47,domain(X0)))))
    | 'forward$udiamond'(star(sK47),'domain$udifference'(domain(X0),'forward$udiamond'(sK47,domain(X0)))) != 'forward$udiamond'(star(sK47),'domain$udifference'(domain(X0),'forward$udiamond'(sK47,domain(X0)))) ),
    inference(superposition,[status(thm)],[c29,c12]) ).

cnf(d37,plain,
    addition(domain(X0),addition('forward$udiamond'(star(sK47),'domain$udifference'(domain(X0),'forward$udiamond'(sK47,domain(X0)))),X1)) = addition('forward$udiamond'(star(sK47),'domain$udifference'(domain(X0),'forward$udiamond'(sK47,domain(X0)))),X1),
    inference(superposition,[status(thm)],[c29,c1]) ).

cnf(d38,plain,
    addition(domain(X0),'forward$udiamond'(star(sK47),'domain$udifference'(domain(X0),'forward$udiamond'(sK47,domain(X0))))) = addition('forward$udiamond'(star(sK47),'domain$udifference'(domain(X0),'forward$udiamond'(sK47,domain(X0)))),zero),
    inference(superposition,[status(thm)],[c2,d37]) ).

cnf(d39,plain,
    'forward$udiamond'(star(sK47),'domain$udifference'(domain(X0),'forward$udiamond'(sK47,domain(X0)))) = addition('forward$udiamond'(star(sK47),'domain$udifference'(domain(X0),'forward$udiamond'(sK47,domain(X0)))),zero),
    inference(demodulation,[status(thm)],[d38,c29]) ).

cnf(d40,plain,
    'forward$udiamond'(star(sK47),'domain$udifference'(domain(X0),'forward$udiamond'(sK47,domain(X0)))) = 'forward$udiamond'(star(sK47),'domain$udifference'(domain(X0),'forward$udiamond'(sK47,domain(X0)))),
    inference(demodulation,[status(thm)],[d39,c2]) ).

cnf(d41,plain,
    leq(domain(X0),'forward$udiamond'(star(sK47),'domain$udifference'(domain(X0),'forward$udiamond'(sK47,domain(X0))))),
    inference(resolution,[status(thm)],[d40,d36]) ).

cnf(d42,plain,
    leq('forward$udiamond'(X0,X1),'forward$udiamond'(star(sK47),'domain$udifference'(domain(multiplication(X0,domain(X1))),'forward$udiamond'(sK47,domain(multiplication(X0,domain(X1))))))),
    inference(superposition,[status(thm)],[c23,d41]) ).

cnf(d43,plain,
    leq('forward$udiamond'(X0,X1),'forward$udiamond'(star(sK47),'domain$udifference'('forward$udiamond'(X0,X1),'forward$udiamond'(sK47,domain(multiplication(X0,domain(X1))))))),
    inference(demodulation,[status(thm)],[d42,c23]) ).

cnf(d44,plain,
    leq('forward$udiamond'(X0,X1),'forward$udiamond'(star(sK47),'domain$udifference'('forward$udiamond'(X0,X1),'forward$udiamond'(sK47,'forward$udiamond'(X0,X1))))),
    inference(demodulation,[status(thm)],[d43,c23]) ).

cnf(d45,plain,
    leq(divergence(X0),'forward$udiamond'(star(sK47),'domain$udifference'('forward$udiamond'(X0,divergence(X0)),'forward$udiamond'(sK47,'forward$udiamond'(X0,divergence(X0)))))),
    inference(superposition,[status(thm)],[c27,d44]) ).

cnf(d46,plain,
    leq(divergence(X0),'forward$udiamond'(star(sK47),'domain$udifference'(divergence(X0),'forward$udiamond'(sK47,'forward$udiamond'(X0,divergence(X0)))))),
    inference(demodulation,[status(thm)],[d45,c27]) ).

cnf(d47,plain,
    leq(divergence(X0),'forward$udiamond'(star(sK47),'domain$udifference'(divergence(X0),'forward$udiamond'(sK47,divergence(X0))))),
    inference(demodulation,[status(thm)],[d46,c27]) ).

cnf(d48,plain,
    leq(divergence(sK47),'forward$udiamond'(star(sK47),'domain$udifference'(divergence(sK47),divergence(sK47)))),
    inference(superposition,[status(thm)],[c27,d47]) ).

cnf(d49,plain,
    leq(divergence(sK47),'forward$udiamond'(star(sK47),zero)),
    inference(demodulation,[status(thm)],[d48,d35]) ).

cnf(d50,plain,
    addition(divergence(sK47),'forward$udiamond'(star(sK47),zero)) = 'forward$udiamond'(star(sK47),zero),
    inference(resolution,[status(thm)],[d49,c11]) ).

cnf(d51,plain,
    leq(multiplication(divergence(sK47),X0),multiplication('forward$udiamond'(star(sK47),zero),X0)),
    inference(superposition,[status(thm)],[d50,d33]) ).

cnf(d52,plain,
    'domain$udifference'(multiplication(X0,domain(X1)),X2) = multiplication('forward$udiamond'(X0,X1),antidomain(X2)),
    inference(superposition,[status(thm)],[c23,c22]) ).

cnf(d53,plain,
    addition(antidomain(zero),antidomain(multiplication(X0,antidomain(antidomain(zero))))) = antidomain(multiplication(X0,antidomain(antidomain(zero)))),
    inference(superposition,[status(thm)],[c9,c14]) ).

cnf(d54,plain,
    addition(antidomain(zero),antidomain(multiplication(X0,domain(zero)))) = antidomain(multiplication(X0,antidomain(antidomain(zero)))),
    inference(demodulation,[status(thm)],[d53,c16]) ).

cnf(d55,plain,
    addition(antidomain(zero),antidomain(multiplication(X0,domain(zero)))) = antidomain(multiplication(X0,domain(zero))),
    inference(demodulation,[status(thm)],[d54,c16]) ).

cnf(d56,plain,
    multiplication(antidomain(antidomain(multiplication(X0,domain(zero)))),antidomain(multiplication(X0,domain(zero)))) = multiplication(antidomain(antidomain(multiplication(X0,domain(zero)))),antidomain(zero)),
    inference(superposition,[status(thm)],[d55,d23]) ).

cnf(d57,plain,
    zero = multiplication(antidomain(antidomain(multiplication(X0,domain(zero)))),antidomain(zero)),
    inference(demodulation,[status(thm)],[d56,c13]) ).

cnf(d58,plain,
    zero = multiplication(domain(multiplication(X0,domain(zero))),antidomain(zero)),
    inference(demodulation,[status(thm)],[d57,c16]) ).

cnf(d59,plain,
    zero = 'domain$udifference'(multiplication(X0,domain(zero)),zero),
    inference(demodulation,[status(thm)],[d58,c22]) ).

cnf(d60,plain,
    zero = multiplication('forward$udiamond'(X0,zero),antidomain(zero)),
    inference(demodulation,[status(thm)],[d59,d52]) ).

cnf(d61,plain,
    zero = multiplication('forward$udiamond'(X0,zero),domain(one)),
    inference(demodulation,[status(thm)],[d60,d15]) ).

cnf(d62,plain,
    leq(multiplication(divergence(sK47),domain(one)),zero),
    inference(superposition,[status(thm)],[d61,d51]) ).

cnf(d63,plain,
    addition(multiplication(divergence(sK47),domain(one)),zero) = zero,
    inference(resolution,[status(thm)],[d62,c11]) ).

cnf(d64,plain,
    multiplication(divergence(sK47),domain(one)) = zero,
    inference(demodulation,[status(thm)],[d63,c2]) ).

cnf(d65,plain,
    zero = multiplication(divergence(sK47),domain(one)),
    inference(superposition,[status(thm)],[d64,d29]) ).

cnf(d66,plain,
    zero = multiplication(divergence(sK47),one),
    inference(demodulation,[status(thm)],[d65,d27]) ).

cnf(d67,plain,
    zero = divergence(sK47),
    inference(demodulation,[status(thm)],[d66,c5]) ).

cnf(d68,plain,
    zero != zero,
    inference(demodulation,[status(thm)],[c30,d67]) ).

cnf(d69,plain,
    multiplication(multiplication(X0,X1),multiplication(X2,X3)) = multiplication(multiplication(X0,multiplication(X1,X2)),X3),
    inference(superposition,[status(thm)],[c4,c4]) ).

cnf(d70,plain,
    multiplication(X0,multiplication(X1,multiplication(X2,X3))) = multiplication(multiplication(X0,multiplication(X1,X2)),X3),
    inference(demodulation,[status(thm)],[d69,c4]) ).

cnf(d71,plain,
    multiplication(X0,multiplication(X1,multiplication(X2,X3))) = multiplication(X0,multiplication(multiplication(X1,X2),X3)),
    inference(demodulation,[status(thm)],[d70,c4]) ).

cnf(d72,plain,
    multiplication(X3,multiplication(X0,multiplication(X1,X2))) = multiplication(X3,multiplication(X0,multiplication(X1,X2))),
    inference(demodulation,[status(thm)],[d71,c4]) ).

cnf(d73,plain,
    zero = multiplication(zero,multiplication(X0,multiplication(X1,X2))),
    inference(superposition,[status(thm)],[c10,d72]) ).

cnf(d74,plain,
    zero = zero,
    inference(demodulation,[status(thm)],[d73,c10]) ).

cnf(d75,plain,
    $false,
    inference(resolution,[status(thm)],[d74,d68]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KLE131+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36  % Computer : n015.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.12/0.36  % CPULimit : 300
% 0.12/0.36  % WCLimit  : 300
% 0.12/0.36  % DateTime : Fri Sep 25 19:28:58 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.37  Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 106.06/15.63  % SZS status Theorem for theBenchmark.p
% 106.06/15.63  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------