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LisaST---0.9.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : BOO007-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 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 06:54:37 AM UTC 2026

% Result   : Unsatisfiable 43.85s 14.65s
% Output   : CNFRefutation 43.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   19
% Syntax   : Number of clauses     :  116 (  62 unt;   0 nHn;  93 RR)
%            Number of literals    :  223 (  22 equ; 109 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :  205 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(y_times_z,hypothesis,
    product(y,z,'y$utimes$uz') ).

cnf(x_times__y_times_z,hypothesis,
    product(x,'y$utimes$uz','x$utimes$u$uy$utimes$uz') ).

cnf(x_times_y,hypothesis,
    product(x,y,'x$utimes$uy') ).

cnf(x_times_y__times_z,hypothesis,
    product('x$utimes$uy',z,'x$utimes$uy$u$utimes$uz') ).

cnf(prove_equality,negated_conjecture,
    'x$utimes$u$uy$utimes$uz' != 'x$utimes$uy$u$utimes$uz' ).

cnf(closure_of_addition,axiom,
    sum(X0,X1,add(X0,X1)) ).

cnf(closure_of_multiplication,axiom,
    product(X0,X1,multiply(X0,X1)) ).

cnf(commutativity_of_addition,axiom,
    ( sum(X1,X0,X2)
    | ~ sum(X0,X1,X2) ) ).

cnf(commutativity_of_multiplication,axiom,
    ( product(X1,X0,X2)
    | ~ product(X0,X1,X2) ) ).

cnf(additive_identity1,axiom,
    sum('additive$uidentity',X0,X0) ).

cnf(additive_identity2,axiom,
    sum(X0,'additive$uidentity',X0) ).

cnf(multiplicative_identity2,axiom,
    product(X0,'multiplicative$uidentity',X0) ).

cnf(distributivity1,axiom,
    ( sum(X2,X4,X6)
    | ~ product(X0,X5,X6)
    | ~ sum(X1,X3,X5)
    | ~ product(X0,X3,X4)
    | ~ product(X0,X1,X2) ) ).

cnf(distributivity2,axiom,
    ( product(X0,X5,X6)
    | ~ sum(X2,X4,X6)
    | ~ sum(X1,X3,X5)
    | ~ product(X0,X3,X4)
    | ~ product(X0,X1,X2) ) ).

cnf(distributivity3,axiom,
    ( sum(X2,X4,X6)
    | ~ product(X5,X1,X6)
    | ~ sum(X0,X3,X5)
    | ~ product(X3,X1,X4)
    | ~ product(X0,X1,X2) ) ).

cnf(distributivity5,axiom,
    ( product(X2,X4,X6)
    | ~ sum(X0,X5,X6)
    | ~ product(X1,X3,X5)
    | ~ sum(X0,X3,X4)
    | ~ sum(X0,X1,X2) ) ).

cnf(multiplicative_inverse2,axiom,
    product(X0,inverse(X0),'additive$uidentity') ).

cnf(addition_is_well_defined,axiom,
    ( X2 = X3
    | ~ sum(X0,X1,X3)
    | ~ sum(X0,X1,X2) ) ).

cnf(multiplication_is_well_defined,axiom,
    ( X2 = X3
    | ~ product(X0,X1,X3)
    | ~ product(X0,X1,X2) ) ).

cnf(c0,plain,
    product(y,z,'y$utimes$uz'),
    inference(clausification,[status(esa)],[y_times_z]) ).

cnf(c1,plain,
    product(x,'y$utimes$uz','x$utimes$u$uy$utimes$uz'),
    inference(clausification,[status(esa)],[x_times__y_times_z]) ).

cnf(c2,plain,
    product(x,y,'x$utimes$uy'),
    inference(clausification,[status(esa)],[x_times_y]) ).

cnf(c3,plain,
    product('x$utimes$uy',z,'x$utimes$uy$u$utimes$uz'),
    inference(clausification,[status(esa)],[x_times_y__times_z]) ).

cnf(c4,plain,
    'x$utimes$uy$u$utimes$uz' != 'x$utimes$u$uy$utimes$uz',
    inference(clausification,[status(esa)],[prove_equality]) ).

cnf(c5,plain,
    sum(X0,X1,add(X0,X1)),
    inference(clausification,[status(esa)],[closure_of_addition]) ).

cnf(c6,plain,
    product(X0,X1,multiply(X0,X1)),
    inference(clausification,[status(esa)],[closure_of_multiplication]) ).

cnf(c7,plain,
    ( sum(X1,X0,X2)
    | ~ sum(X0,X1,X2) ),
    inference(clausification,[status(esa)],[commutativity_of_addition]) ).

cnf(c8,plain,
    ( product(X1,X0,X2)
    | ~ product(X0,X1,X2) ),
    inference(clausification,[status(esa)],[commutativity_of_multiplication]) ).

cnf(c9,plain,
    sum('additive$uidentity',X0,X0),
    inference(clausification,[status(esa)],[additive_identity1]) ).

cnf(c10,plain,
    sum(X0,'additive$uidentity',X0),
    inference(clausification,[status(esa)],[additive_identity2]) ).

cnf(c12,plain,
    product(X0,'multiplicative$uidentity',X0),
    inference(clausification,[status(esa)],[multiplicative_identity2]) ).

cnf(c13,plain,
    ( sum(X4,X5,X6)
    | ~ product(X3,X2,X6)
    | ~ product(X3,X1,X5)
    | ~ product(X3,X0,X4)
    | ~ sum(X0,X1,X2) ),
    inference(clausification,[status(esa)],[distributivity1]) ).

cnf(c14,plain,
    ( ~ sum(X5,X3,X1)
    | ~ sum(X6,X4,X2)
    | ~ product(X0,X5,X6)
    | ~ product(X0,X3,X4)
    | product(X0,X1,X2) ),
    inference(clausification,[status(esa)],[distributivity2]) ).

cnf(c15,plain,
    ( ~ sum(X6,X3,X0)
    | ~ product(X6,X1,X5)
    | sum(X5,X4,X2)
    | ~ product(X3,X1,X4)
    | ~ product(X0,X1,X2) ),
    inference(clausification,[status(esa)],[distributivity3]) ).

cnf(c17,plain,
    ( ~ sum(X0,X6,X4)
    | ~ product(X5,X1,X6)
    | ~ sum(X0,X5,X3)
    | product(X3,X2,X4)
    | ~ sum(X0,X1,X2) ),
    inference(clausification,[status(esa)],[distributivity5]) ).

cnf(c24,plain,
    product(X0,inverse(X0),'additive$uidentity'),
    inference(clausification,[status(esa)],[multiplicative_inverse2]) ).

cnf(c25,plain,
    ( X2 = X3
    | ~ sum(X0,X1,X3)
    | ~ sum(X0,X1,X2) ),
    inference(clausification,[status(esa)],[addition_is_well_defined]) ).

cnf(c26,plain,
    ( X2 = X3
    | ~ product(X0,X1,X3)
    | ~ product(X0,X1,X2) ),
    inference(clausification,[status(esa)],[multiplication_is_well_defined]) ).

cnf(d0,plain,
    sum(X0,X1,add(X1,X0)),
    inference(resolution,[status(thm)],[c7,c5]) ).

cnf(d1,plain,
    ( ~ sum(X2,X1,X0)
    | X0 = add(X1,X2) ),
    inference(resolution,[status(thm)],[d0,c25]) ).

cnf(d2,plain,
    ( ~ sum(X3,X1,'multiplicative$uidentity')
    | sum(X4,X2,X0)
    | ~ product(X0,X3,X4)
    | ~ product(X0,X1,X2) ),
    inference(resolution,[status(thm)],[c13,c12]) ).

cnf(d3,plain,
    ( ~ sum(z,X0,'multiplicative$uidentity')
    | sum('x$utimes$uy$u$utimes$uz',X1,'x$utimes$uy')
    | ~ product('x$utimes$uy',X0,X1) ),
    inference(resolution,[status(thm)],[d2,c3]) ).

cnf(d4,plain,
    ( sum('x$utimes$uy$u$utimes$uz','x$utimes$uy','x$utimes$uy')
    | ~ sum(z,'multiplicative$uidentity','multiplicative$uidentity') ),
    inference(resolution,[status(thm)],[d3,c12]) ).

cnf(d5,plain,
    ( ~ product(X0,'multiplicative$uidentity',X1)
    | X0 = X1 ),
    inference(resolution,[status(thm)],[c26,c12]) ).

cnf(d6,plain,
    ( ~ product(X1,inverse(X1),X0)
    | 'additive$uidentity' = X0 ),
    inference(resolution,[status(thm)],[c26,c24]) ).

cnf(d7,plain,
    ( ~ sum(X3,X5,X1)
    | ~ sum(X4,multiply(X0,X5),X2)
    | ~ product(X0,X3,X4)
    | product(X0,X1,X2) ),
    inference(resolution,[status(thm)],[c14,c6]) ).

cnf(d8,plain,
    ( ~ sum(inverse(X0),X3,X1)
    | ~ sum('additive$uidentity',multiply(X0,X3),X2)
    | product(X0,X1,X2) ),
    inference(resolution,[status(thm)],[d7,c24]) ).

cnf(d9,plain,
    ( ~ sum(inverse(X0),X2,X1)
    | product(X0,X1,multiply(X0,X2)) ),
    inference(resolution,[status(thm)],[d8,c9]) ).

cnf(d10,plain,
    product(X0,inverse(X0),multiply(X0,'additive$uidentity')),
    inference(resolution,[status(thm)],[d9,c10]) ).

cnf(d11,plain,
    'additive$uidentity' = multiply(X0,'additive$uidentity'),
    inference(resolution,[status(thm)],[d10,d6]) ).

cnf(d12,plain,
    ( ~ sum(X3,X5,X0)
    | ~ sum(X3,multiply(X5,X4),X2)
    | ~ sum(X3,X4,X1)
    | product(X0,X1,X2) ),
    inference(resolution,[status(thm)],[c17,c6]) ).

cnf(d13,plain,
    ( ~ sum(X0,multiply(X1,X4),X3)
    | ~ sum(X0,X4,X2)
    | product(add(X0,X1),X2,X3) ),
    inference(resolution,[status(thm)],[d12,c5]) ).

cnf(d14,plain,
    ( ~ sum(X0,multiply(X1,'additive$uidentity'),X2)
    | product(add(X0,X1),X0,X2) ),
    inference(resolution,[status(thm)],[d13,c10]) ).

cnf(d15,plain,
    ( ~ sum(X1,'additive$uidentity',X2)
    | product(add(X1,X0),X1,X2) ),
    inference(demodulation,[status(thm)],[d14,d11]) ).

cnf(d16,plain,
    product(add(X0,X1),X0,X0),
    inference(resolution,[status(thm)],[d15,c10]) ).

cnf(d17,plain,
    add('multiplicative$uidentity',X0) = 'multiplicative$uidentity',
    inference(resolution,[status(thm)],[d16,d5]) ).

cnf(d18,plain,
    sum(X0,'multiplicative$uidentity','multiplicative$uidentity'),
    inference(superposition,[status(thm)],[d17,d0]) ).

cnf(d19,plain,
    sum('x$utimes$uy$u$utimes$uz','x$utimes$uy','x$utimes$uy'),
    inference(resolution,[status(thm)],[d18,d4]) ).

cnf(d20,plain,
    'x$utimes$uy' = add('x$utimes$uy','x$utimes$uy$u$utimes$uz'),
    inference(resolution,[status(thm)],[d19,d1]) ).

cnf(d21,plain,
    ( ~ sum(X2,X0,y)
    | sum(X3,X1,'y$utimes$uz')
    | ~ product(X2,z,X3)
    | ~ product(X0,z,X1) ),
    inference(resolution,[status(thm)],[c15,c0]) ).

cnf(d22,plain,
    ( ~ sum('x$utimes$uy',X0,y)
    | sum('x$utimes$uy$u$utimes$uz',X1,'y$utimes$uz')
    | ~ product(X0,z,X1) ),
    inference(resolution,[status(thm)],[d21,c3]) ).

cnf(d23,plain,
    ( sum('x$utimes$uy$u$utimes$uz','y$utimes$uz','y$utimes$uz')
    | ~ sum('x$utimes$uy',y,y) ),
    inference(resolution,[status(thm)],[d22,c0]) ).

cnf(d24,plain,
    product(y,x,'x$utimes$uy'),
    inference(resolution,[status(thm)],[c8,c2]) ).

cnf(d25,plain,
    ( ~ sum(x,X0,'multiplicative$uidentity')
    | sum('x$utimes$uy',X1,y)
    | ~ product(y,X0,X1) ),
    inference(resolution,[status(thm)],[d2,d24]) ).

cnf(d26,plain,
    ( sum('x$utimes$uy',y,y)
    | ~ sum(x,'multiplicative$uidentity','multiplicative$uidentity') ),
    inference(resolution,[status(thm)],[d25,c12]) ).

cnf(d27,plain,
    sum('x$utimes$uy',y,y),
    inference(resolution,[status(thm)],[d18,d26]) ).

cnf(d28,plain,
    sum('x$utimes$uy$u$utimes$uz','y$utimes$uz','y$utimes$uz'),
    inference(resolution,[status(thm)],[d27,d23]) ).

cnf(d29,plain,
    'y$utimes$uz' = add('y$utimes$uz','x$utimes$uy$u$utimes$uz'),
    inference(resolution,[status(thm)],[d28,d1]) ).

cnf(d30,plain,
    ( ~ sum(X1,X2,X0)
    | X0 = add(X1,X2) ),
    inference(resolution,[status(thm)],[c25,c5]) ).

cnf(d31,plain,
    add(X0,X1) = add(X1,X0),
    inference(resolution,[status(thm)],[d30,d0]) ).

cnf(d32,plain,
    ( ~ sum(X0,multiply(X1,X2),X3)
    | product(add(X0,X1),add(X2,X0),X3) ),
    inference(resolution,[status(thm)],[d13,d0]) ).

cnf(d33,plain,
    product(X0,X1,multiply(X1,X0)),
    inference(resolution,[status(thm)],[c8,c6]) ).

cnf(d34,plain,
    ( ~ sum(X2,X0,z)
    | sum(X3,X1,'x$utimes$uy$u$utimes$uz')
    | ~ product('x$utimes$uy',X2,X3)
    | ~ product('x$utimes$uy',X0,X1) ),
    inference(resolution,[status(thm)],[c13,c3]) ).

cnf(d35,plain,
    ( ~ sum(z,X0,z)
    | sum('x$utimes$uy$u$utimes$uz',X1,'x$utimes$uy$u$utimes$uz')
    | ~ product('x$utimes$uy',X0,X1) ),
    inference(resolution,[status(thm)],[d34,c3]) ).

cnf(d36,plain,
    ( sum('x$utimes$uy$u$utimes$uz',multiply(X0,'x$utimes$uy'),'x$utimes$uy$u$utimes$uz')
    | ~ sum(z,X0,z) ),
    inference(resolution,[status(thm)],[d35,d33]) ).

cnf(d37,plain,
    product(z,y,'y$utimes$uz'),
    inference(resolution,[status(thm)],[c8,c0]) ).

cnf(d38,plain,
    ( ~ sum('multiplicative$uidentity',X1,'multiplicative$uidentity')
    | sum(X0,X2,X0)
    | ~ product(X0,X1,X2) ),
    inference(resolution,[status(thm)],[d2,c12]) ).

cnf(d39,plain,
    ( ~ sum('multiplicative$uidentity',y,'multiplicative$uidentity')
    | sum(z,'y$utimes$uz',z) ),
    inference(resolution,[status(thm)],[d38,d37]) ).

cnf(d40,plain,
    sum('multiplicative$uidentity',X0,'multiplicative$uidentity'),
    inference(superposition,[status(thm)],[d17,c5]) ).

cnf(d41,plain,
    sum(z,'y$utimes$uz',z),
    inference(resolution,[status(thm)],[d40,d39]) ).

cnf(d42,plain,
    sum('x$utimes$uy$u$utimes$uz',multiply('y$utimes$uz','x$utimes$uy'),'x$utimes$uy$u$utimes$uz'),
    inference(resolution,[status(thm)],[d41,d36]) ).

cnf(d43,plain,
    product(add('x$utimes$uy$u$utimes$uz','y$utimes$uz'),add('x$utimes$uy','x$utimes$uy$u$utimes$uz'),'x$utimes$uy$u$utimes$uz'),
    inference(resolution,[status(thm)],[d42,d32]) ).

cnf(d44,plain,
    product(add('y$utimes$uz','x$utimes$uy$u$utimes$uz'),add('x$utimes$uy','x$utimes$uy$u$utimes$uz'),'x$utimes$uy$u$utimes$uz'),
    inference(demodulation,[status(thm)],[d43,d31]) ).

cnf(d45,plain,
    product('y$utimes$uz',add('x$utimes$uy','x$utimes$uy$u$utimes$uz'),'x$utimes$uy$u$utimes$uz'),
    inference(demodulation,[status(thm)],[d44,d29]) ).

cnf(d46,plain,
    product('y$utimes$uz','x$utimes$uy','x$utimes$uy$u$utimes$uz'),
    inference(demodulation,[status(thm)],[d45,d20]) ).

cnf(d47,plain,
    ( ~ product('y$utimes$uz','x$utimes$uy',X0)
    | 'x$utimes$uy$u$utimes$uz' = X0 ),
    inference(resolution,[status(thm)],[d46,c26]) ).

cnf(d48,plain,
    ( ~ sum(X2,X0,y)
    | sum(X3,X1,'x$utimes$uy')
    | ~ product(x,X2,X3)
    | ~ product(x,X0,X1) ),
    inference(resolution,[status(thm)],[c13,c2]) ).

cnf(d49,plain,
    ( ~ sum('y$utimes$uz',X0,y)
    | sum('x$utimes$u$uy$utimes$uz',X1,'x$utimes$uy')
    | ~ product(x,X0,X1) ),
    inference(resolution,[status(thm)],[d48,c1]) ).

cnf(d50,plain,
    ( sum('x$utimes$u$uy$utimes$uz','x$utimes$uy','x$utimes$uy')
    | ~ sum('y$utimes$uz',y,y) ),
    inference(resolution,[status(thm)],[d49,c2]) ).

cnf(d51,plain,
    ( ~ sum(z,X0,'multiplicative$uidentity')
    | sum('y$utimes$uz',X1,y)
    | ~ product(y,X0,X1) ),
    inference(resolution,[status(thm)],[d2,c0]) ).

cnf(d52,plain,
    ( sum('y$utimes$uz',y,y)
    | ~ sum(z,'multiplicative$uidentity','multiplicative$uidentity') ),
    inference(resolution,[status(thm)],[d51,c12]) ).

cnf(d53,plain,
    sum('y$utimes$uz',y,y),
    inference(resolution,[status(thm)],[d18,d52]) ).

cnf(d54,plain,
    sum('x$utimes$u$uy$utimes$uz','x$utimes$uy','x$utimes$uy'),
    inference(resolution,[status(thm)],[d53,d50]) ).

cnf(d55,plain,
    'x$utimes$uy' = add('x$utimes$uy','x$utimes$u$uy$utimes$uz'),
    inference(resolution,[status(thm)],[d54,d1]) ).

cnf(d56,plain,
    'x$utimes$uy' = add('x$utimes$u$uy$utimes$uz','x$utimes$uy'),
    inference(demodulation,[status(thm)],[d55,d31]) ).

cnf(d57,plain,
    product('y$utimes$uz',x,'x$utimes$u$uy$utimes$uz'),
    inference(resolution,[status(thm)],[c8,c1]) ).

cnf(d58,plain,
    ( ~ sum(x,X0,'multiplicative$uidentity')
    | sum('x$utimes$u$uy$utimes$uz',X1,'y$utimes$uz')
    | ~ product('y$utimes$uz',X0,X1) ),
    inference(resolution,[status(thm)],[d2,d57]) ).

cnf(d59,plain,
    ( sum('x$utimes$u$uy$utimes$uz','y$utimes$uz','y$utimes$uz')
    | ~ sum(x,'multiplicative$uidentity','multiplicative$uidentity') ),
    inference(resolution,[status(thm)],[d58,c12]) ).

cnf(d60,plain,
    sum('x$utimes$u$uy$utimes$uz','y$utimes$uz','y$utimes$uz'),
    inference(resolution,[status(thm)],[d18,d59]) ).

cnf(d61,plain,
    'y$utimes$uz' = add('y$utimes$uz','x$utimes$u$uy$utimes$uz'),
    inference(resolution,[status(thm)],[d60,d1]) ).

cnf(d62,plain,
    ( ~ product(X0,X1,X2)
    | multiply(X0,X1) = X2 ),
    inference(resolution,[status(thm)],[c26,c6]) ).

cnf(d63,plain,
    multiply(X0,X1) = multiply(X1,X0),
    inference(resolution,[status(thm)],[d62,d33]) ).

cnf(d64,plain,
    ( ~ sum(X2,X0,x)
    | sum(X3,X1,'x$utimes$u$uy$utimes$uz')
    | ~ product(X2,'y$utimes$uz',X3)
    | ~ product(X0,'y$utimes$uz',X1) ),
    inference(resolution,[status(thm)],[c15,c1]) ).

cnf(d65,plain,
    ( ~ sum(x,X0,x)
    | sum('x$utimes$u$uy$utimes$uz',X1,'x$utimes$u$uy$utimes$uz')
    | ~ product(X0,'y$utimes$uz',X1) ),
    inference(resolution,[status(thm)],[d64,c1]) ).

cnf(d66,plain,
    ( sum('x$utimes$u$uy$utimes$uz',multiply(X0,'y$utimes$uz'),'x$utimes$u$uy$utimes$uz')
    | ~ sum(x,X0,x) ),
    inference(resolution,[status(thm)],[d65,c6]) ).

cnf(d67,plain,
    ( ~ sum('multiplicative$uidentity',y,'multiplicative$uidentity')
    | sum(x,'x$utimes$uy',x) ),
    inference(resolution,[status(thm)],[d38,c2]) ).

cnf(d68,plain,
    sum(x,'x$utimes$uy',x),
    inference(resolution,[status(thm)],[d40,d67]) ).

cnf(d69,plain,
    sum('x$utimes$u$uy$utimes$uz',multiply('x$utimes$uy','y$utimes$uz'),'x$utimes$u$uy$utimes$uz'),
    inference(resolution,[status(thm)],[d68,d66]) ).

cnf(d70,plain,
    sum('x$utimes$u$uy$utimes$uz',multiply('y$utimes$uz','x$utimes$uy'),'x$utimes$u$uy$utimes$uz'),
    inference(demodulation,[status(thm)],[d69,d63]) ).

cnf(d71,plain,
    product(add('x$utimes$u$uy$utimes$uz','y$utimes$uz'),add('x$utimes$uy','x$utimes$u$uy$utimes$uz'),'x$utimes$u$uy$utimes$uz'),
    inference(resolution,[status(thm)],[d70,d32]) ).

cnf(d72,plain,
    product(add('y$utimes$uz','x$utimes$u$uy$utimes$uz'),add('x$utimes$uy','x$utimes$u$uy$utimes$uz'),'x$utimes$u$uy$utimes$uz'),
    inference(demodulation,[status(thm)],[d71,d31]) ).

cnf(d73,plain,
    product('y$utimes$uz',add('x$utimes$uy','x$utimes$u$uy$utimes$uz'),'x$utimes$u$uy$utimes$uz'),
    inference(demodulation,[status(thm)],[d72,d61]) ).

cnf(d74,plain,
    product('y$utimes$uz',add('x$utimes$u$uy$utimes$uz','x$utimes$uy'),'x$utimes$u$uy$utimes$uz'),
    inference(demodulation,[status(thm)],[d73,d31]) ).

cnf(d75,plain,
    product('y$utimes$uz','x$utimes$uy','x$utimes$u$uy$utimes$uz'),
    inference(demodulation,[status(thm)],[d74,d56]) ).

cnf(d76,plain,
    'x$utimes$uy$u$utimes$uz' = 'x$utimes$u$uy$utimes$uz',
    inference(resolution,[status(thm)],[d75,d47]) ).

cnf(d77,plain,
    $false,
    inference(resolution,[status(thm)],[c4,d76]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : BOO007-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37  % Computer : n015.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sat Sep 26 22:37:14 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.85/14.65  % SZS status Unsatisfiable for theBenchmark.p
% 43.85/14.65  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------