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LisaST---0.9.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : GRP503-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n002.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 07:23:54 AM UTC 2026

% Result   : Unsatisfiable 91.51s 18.64s
% Output   : CNFRefutation 91.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   45
%            Number of leaves      :    3
% Syntax   : Number of clauses     :  102 ( 102 unt;   0 nHn;   8 RR)
%            Number of literals    :  102 ( 101 equ;   7 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :  337 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
    'double$udivide'('double$udivide'(X0,inverse('double$udivide'(X1,X2))),'double$udivide'(inverse(X1),inverse('double$udivide'(X3,'double$udivide'(X0,X3))))) = X2 ).

cnf(multiply,axiom,
    multiply(X0,X1) = inverse('double$udivide'(X1,X0)) ).

cnf(prove_these_axioms_2,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2 ).

cnf(c0,plain,
    'double$udivide'('double$udivide'(X0,inverse('double$udivide'(X1,X2))),'double$udivide'(inverse(X1),inverse('double$udivide'(X3,'double$udivide'(X0,X3))))) = X2,
    inference(clausification,[status(esa)],[single_axiom]) ).

cnf(c1,plain,
    multiply(X0,X1) = inverse('double$udivide'(X1,X0)),
    inference(clausification,[status(esa)],[multiply]) ).

cnf(c2,plain,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    inference(clausification,[status(esa)],[prove_these_axioms_2]) ).

cnf(d0,plain,
    'double$udivide'('double$udivide'(X2,multiply(X1,X0)),'double$udivide'(inverse(X0),inverse('double$udivide'(X3,'double$udivide'(X2,X3))))) = X1,
    inference(demodulation,[status(thm)],[c0,c1]) ).

cnf(d1,plain,
    'double$udivide'('double$udivide'(X1,multiply(X2,X3)),'double$udivide'(inverse(X3),multiply('double$udivide'(X1,X0),X0))) = X2,
    inference(demodulation,[status(thm)],[d0,c1]) ).

cnf(d2,plain,
    'double$udivide'('double$udivide'(X2,multiply(X3,'double$udivide'(X0,X1))),'double$udivide'(multiply(X1,X0),multiply('double$udivide'(X2,X4),X4))) = X3,
    inference(superposition,[status(thm)],[c1,d1]) ).

cnf(d3,plain,
    multiply('double$udivide'(inverse(X2),multiply('double$udivide'(X0,X3),X3)),'double$udivide'(X0,multiply(X1,X2))) = inverse(X1),
    inference(superposition,[status(thm)],[d1,c1]) ).

cnf(d4,plain,
    'double$udivide'('double$udivide'(X4,inverse(X3)),'double$udivide'(multiply(multiply(X3,X0),X1),multiply('double$udivide'(X4,X5),X5))) = 'double$udivide'(inverse(X0),multiply('double$udivide'(X1,X2),X2)),
    inference(superposition,[status(thm)],[d3,d2]) ).

cnf(d5,plain,
    'double$udivide'(inverse(X2),multiply('double$udivide'(X3,X5),X5)) = 'double$udivide'(inverse(X2),multiply('double$udivide'(X3,X6),X6)),
    inference(superposition,[status(thm)],[d4,d4]) ).

cnf(d6,plain,
    'double$udivide'(multiply(X1,X0),multiply('double$udivide'(X2,X3),X3)) = 'double$udivide'(inverse('double$udivide'(X0,X1)),multiply('double$udivide'(X2,X4),X4)),
    inference(superposition,[status(thm)],[c1,d5]) ).

cnf(d7,plain,
    'double$udivide'(multiply(X1,X0),multiply('double$udivide'(X2,X3),X3)) = 'double$udivide'(multiply(X1,X0),multiply('double$udivide'(X2,X4),X4)),
    inference(demodulation,[status(thm)],[d6,c1]) ).

cnf(d8,plain,
    multiply('double$udivide'(inverse(X2),multiply('double$udivide'(inverse(X0),X4),X4)),'double$udivide'(inverse(X0),multiply('double$udivide'(X1,X3),X3))) = inverse('double$udivide'(X1,X2)),
    inference(superposition,[status(thm)],[d5,d3]) ).

cnf(d9,plain,
    multiply('double$udivide'(inverse(X1),multiply('double$udivide'(inverse(X2),X3),X3)),'double$udivide'(inverse(X2),multiply('double$udivide'(X0,X4),X4))) = multiply(X1,X0),
    inference(demodulation,[status(thm)],[d8,c1]) ).

cnf(d10,plain,
    inverse('double$udivide'(X3,X0)) = multiply(X0,X3),
    inference(superposition,[status(thm)],[d3,d9]) ).

cnf(d11,plain,
    'double$udivide'('double$udivide'(inverse(X0),multiply('double$udivide'(X1,X4),X4)),'double$udivide'(multiply(X3,X2),multiply('double$udivide'(inverse(X0),X5),X5))) = 'double$udivide'(X1,'double$udivide'(X2,X3)),
    inference(superposition,[status(thm)],[d5,d2]) ).

cnf(d12,plain,
    multiply(multiply('double$udivide'(X1,X2),X2),inverse(X0)) = inverse('double$udivide'(inverse(X0),multiply('double$udivide'(X1,X3),X3))),
    inference(superposition,[status(thm)],[d5,c1]) ).

cnf(d13,plain,
    multiply(multiply('double$udivide'(X1,X3),X3),inverse(X0)) = multiply(multiply('double$udivide'(X1,X2),X2),inverse(X0)),
    inference(demodulation,[status(thm)],[d12,c1]) ).

cnf(d14,plain,
    'double$udivide'('double$udivide'(X4,multiply(multiply('double$udivide'(X0,X3),X3),inverse(X2))),'double$udivide'(inverse(inverse(X2)),multiply('double$udivide'(X4,X5),X5))) = multiply('double$udivide'(X0,X1),X1),
    inference(superposition,[status(thm)],[d13,d1]) ).

cnf(d15,plain,
    multiply('double$udivide'(X1,X2),X2) = multiply('double$udivide'(X1,X5),X5),
    inference(demodulation,[status(thm)],[d14,d1]) ).

cnf(d16,plain,
    'double$udivide'('double$udivide'(X3,multiply(X4,'double$udivide'(X1,'double$udivide'(X0,X1)))),'double$udivide'(multiply('double$udivide'(X0,X2),X2),multiply('double$udivide'(X3,X5),X5))) = X4,
    inference(superposition,[status(thm)],[d15,d2]) ).

cnf(d17,plain,
    'double$udivide'(X1,'double$udivide'(X2,'double$udivide'(X3,X2))) = 'double$udivide'(X1,'double$udivide'(X4,'double$udivide'(X3,X4))),
    inference(superposition,[status(thm)],[d16,d11]) ).

cnf(d18,plain,
    inverse('double$udivide'(X0,'double$udivide'(X3,'double$udivide'(X2,X3)))) = multiply('double$udivide'(X1,'double$udivide'(X2,X1)),X0),
    inference(superposition,[status(thm)],[d17,d10]) ).

cnf(d19,plain,
    multiply('double$udivide'(X1,'double$udivide'(X2,X1)),X0) = multiply('double$udivide'(X3,'double$udivide'(X2,X3)),X0),
    inference(demodulation,[status(thm)],[d18,c1]) ).

cnf(d20,plain,
    'double$udivide'('double$udivide'(X0,multiply(X3,X4)),'double$udivide'(inverse(X4),multiply('double$udivide'(X2,'double$udivide'(X1,X2)),'double$udivide'(X1,X0)))) = X3,
    inference(superposition,[status(thm)],[d19,d1]) ).

cnf(d21,plain,
    'double$udivide'('double$udivide'(X2,multiply(X1,X0)),'double$udivide'(multiply(multiply('double$udivide'(X0,X1),X3),X4),multiply('double$udivide'(X2,X5),X5))) = 'double$udivide'(inverse(X3),multiply('double$udivide'(X4,X6),X6)),
    inference(superposition,[status(thm)],[c1,d4]) ).

cnf(d22,plain,
    'double$udivide'(inverse(X3),multiply('double$udivide'(X4,X6),X6)) = 'double$udivide'(X1,'double$udivide'(X4,multiply('double$udivide'(X2,'double$udivide'(X1,X2)),X3))),
    inference(superposition,[status(thm)],[d21,d11]) ).

cnf(d23,plain,
    'double$udivide'(inverse('double$udivide'('double$udivide'(X0,multiply(X1,X2)),X0)),multiply('double$udivide'(inverse(X2),X4),X4)) = X1,
    inference(superposition,[status(thm)],[d22,d20]) ).

cnf(d24,plain,
    'double$udivide'(multiply(X0,'double$udivide'(X0,multiply(X1,X2))),multiply('double$udivide'(inverse(X2),X3),X3)) = X1,
    inference(demodulation,[status(thm)],[d23,c1]) ).

cnf(d25,plain,
    X1 = 'double$udivide'(multiply(X0,'double$udivide'(X0,multiply(X1,X2))),multiply('double$udivide'(inverse(X2),X4),X4)),
    inference(superposition,[status(thm)],[d24,d7]) ).

cnf(d26,plain,
    inverse(X1) = multiply('double$udivide'(multiply(X3,X2),multiply('double$udivide'(X0,X4),X4)),'double$udivide'(X0,multiply(X1,'double$udivide'(X2,X3)))),
    inference(superposition,[status(thm)],[d2,d10]) ).

cnf(d27,plain,
    inverse(X4) = multiply(X1,'double$udivide'(inverse(X2),multiply(X4,'double$udivide'('double$udivide'(X0,multiply(X1,X2)),X0)))),
    inference(superposition,[status(thm)],[d24,d26]) ).

cnf(d28,plain,
    X1 = 'double$udivide'(inverse(X1),multiply('double$udivide'(inverse('double$udivide'('double$udivide'(X2,multiply(inverse(X0),X0)),X2)),X3),X3)),
    inference(superposition,[status(thm)],[d27,d25]) ).

cnf(d29,plain,
    X2 = 'double$udivide'(inverse(X2),multiply('double$udivide'(multiply(X0,'double$udivide'(X0,multiply(inverse(X1),X1))),X3),X3)),
    inference(demodulation,[status(thm)],[d28,c1]) ).

cnf(d30,plain,
    'double$udivide'(inverse(X0),multiply('double$udivide'(multiply(X1,'double$udivide'(X1,multiply(inverse(X2),X2))),X4),X4)) = X0,
    inference(superposition,[status(thm)],[d29,d5]) ).

cnf(d31,plain,
    'double$udivide'(inverse(X3),multiply(inverse(X1),multiply('double$udivide'(inverse(X1),X2),X2))) = X3,
    inference(superposition,[status(thm)],[d24,d30]) ).

cnf(d32,plain,
    'double$udivide'(inverse(X2),multiply(multiply(X1,X0),multiply('double$udivide'(inverse('double$udivide'(X0,X1)),X3),X3))) = X2,
    inference(superposition,[status(thm)],[c1,d31]) ).

cnf(d33,plain,
    'double$udivide'(inverse(X2),multiply(multiply(X1,X0),multiply('double$udivide'(multiply(X1,X0),X3),X3))) = X2,
    inference(demodulation,[status(thm)],[d32,c1]) ).

cnf(d34,plain,
    X3 = 'double$udivide'(inverse(X3),multiply(inverse(X1),multiply('double$udivide'(inverse(X1),X2),X2))),
    inference(superposition,[status(thm)],[d24,d29]) ).

cnf(d35,plain,
    inverse(X0) = multiply(multiply(inverse(X1),multiply('double$udivide'(inverse(X1),X2),X2)),inverse(X0)),
    inference(superposition,[status(thm)],[d34,d10]) ).

cnf(d36,plain,
    inverse('double$udivide'(X0,X1)) = multiply(multiply(inverse(X2),multiply('double$udivide'(inverse(X2),X3),X3)),multiply(X1,X0)),
    inference(superposition,[status(thm)],[c1,d35]) ).

cnf(d37,plain,
    multiply(X1,X0) = multiply(multiply(inverse(X2),multiply('double$udivide'(inverse(X2),X3),X3)),multiply(X1,X0)),
    inference(demodulation,[status(thm)],[d36,c1]) ).

cnf(d38,plain,
    'double$udivide'(inverse(X3),multiply('double$udivide'(multiply(inverse(X0),multiply('double$udivide'(inverse(X0),X1),X1)),X2),X2)) = X3,
    inference(superposition,[status(thm)],[d37,d33]) ).

cnf(d39,plain,
    'double$udivide'('double$udivide'(multiply(inverse(X1),multiply('double$udivide'(inverse(X1),X2),X2)),multiply(X4,X0)),X0) = X4,
    inference(superposition,[status(thm)],[d38,d1]) ).

cnf(d40,plain,
    'double$udivide'(X0,X1) = 'double$udivide'(multiply(X1,X0),multiply(inverse(X2),multiply('double$udivide'(inverse(X2),X3),X3))),
    inference(superposition,[status(thm)],[c1,d34]) ).

cnf(d41,plain,
    'double$udivide'('double$udivide'(multiply('double$udivide'(inverse(X0),X1),X1),inverse(X0)),multiply('double$udivide'(inverse(X2),X3),X3)) = inverse(X2),
    inference(superposition,[status(thm)],[d40,d39]) ).

cnf(d42,plain,
    'double$udivide'('double$udivide'(inverse(X2),multiply(X4,'double$udivide'('double$udivide'(X0,multiply(X1,X2)),X0))),X1) = X4,
    inference(superposition,[status(thm)],[d24,d2]) ).

cnf(d43,plain,
    'double$udivide'('double$udivide'(multiply(X1,X0),multiply(X2,'double$udivide'('double$udivide'(X3,multiply(X4,'double$udivide'(X0,X1))),X3))),X4) = X2,
    inference(superposition,[status(thm)],[c1,d42]) ).

cnf(d44,plain,
    'double$udivide'('double$udivide'(inverse('double$udivide'('double$udivide'(X2,multiply(inverse(X0),X0)),X2)),multiply(X3,X1)),X1) = X3,
    inference(superposition,[status(thm)],[d42,d42]) ).

cnf(d45,plain,
    'double$udivide'('double$udivide'(multiply(X0,'double$udivide'(X0,multiply(inverse(X1),X1))),multiply(X2,X3)),X3) = X2,
    inference(demodulation,[status(thm)],[d44,c1]) ).

cnf(d46,plain,
    multiply(X3,'double$udivide'(multiply(X0,'double$udivide'(X0,multiply(inverse(X1),X1))),multiply(X2,X3))) = inverse(X2),
    inference(superposition,[status(thm)],[d45,c1]) ).

cnf(d47,plain,
    multiply(multiply('double$udivide'(inverse(X2),X3),X3),'double$udivide'('double$udivide'(X0,multiply(inverse(X1),X1)),X0)) = inverse(inverse(X2)),
    inference(superposition,[status(thm)],[d40,d46]) ).

cnf(d48,plain,
    'double$udivide'('double$udivide'(multiply(X4,X3),inverse(inverse(X0))),inverse('double$udivide'(X3,X4))) = multiply('double$udivide'(inverse(X0),X1),X1),
    inference(superposition,[status(thm)],[d47,d43]) ).

cnf(d49,plain,
    'double$udivide'('double$udivide'(multiply(X1,X0),inverse(inverse(X2))),multiply(X1,X0)) = multiply('double$udivide'(inverse(X2),X3),X3),
    inference(demodulation,[status(thm)],[d48,c1]) ).

cnf(d50,plain,
    multiply('double$udivide'(inverse(X0),X2),X2) = inverse(inverse(X0)),
    inference(superposition,[status(thm)],[d49,d41]) ).

cnf(d51,plain,
    multiply(X0,'double$udivide'(multiply(inverse(X1),multiply('double$udivide'(inverse(X1),X2),X2)),multiply(X4,X0))) = inverse(X4),
    inference(superposition,[status(thm)],[d38,d3]) ).

cnf(d52,plain,
    'double$udivide'(inverse(X2),multiply('double$udivide'(inverse(multiply(inverse(X0),multiply('double$udivide'(inverse(X0),X1),X1))),X3),X3)) = X2,
    inference(superposition,[status(thm)],[d51,d24]) ).

cnf(d53,plain,
    'double$udivide'(inverse(X3),inverse(inverse(multiply(inverse(X0),multiply('double$udivide'(inverse(X0),X1),X1))))) = X3,
    inference(demodulation,[status(thm)],[d52,d50]) ).

cnf(d54,plain,
    'double$udivide'(inverse(X2),inverse(inverse(multiply(inverse(X0),inverse(inverse(X0)))))) = X2,
    inference(demodulation,[status(thm)],[d53,d50]) ).

cnf(d55,plain,
    'double$udivide'('double$udivide'(inverse(multiply(X0,'double$udivide'(X0,multiply(inverse(X1),X1)))),multiply(X3,X2)),X2) = X3,
    inference(superposition,[status(thm)],[d45,d42]) ).

cnf(d56,plain,
    'double$udivide'(multiply(X0,'double$udivide'(X0,multiply(inverse(X1),X1))),multiply('double$udivide'(inverse(X2),X3),X3)) = inverse(X2),
    inference(superposition,[status(thm)],[d34,d55]) ).

cnf(d57,plain,
    'double$udivide'('double$udivide'(inverse(X2),multiply(X4,'double$udivide'('double$udivide'(X0,multiply(inverse(X1),X1)),X0))),inverse(X2)) = X4,
    inference(superposition,[status(thm)],[d56,d2]) ).

cnf(d58,plain,
    'double$udivide'('double$udivide'(inverse(X4),inverse(inverse(X0))),inverse(X4)) = multiply('double$udivide'(inverse(X0),X1),X1),
    inference(superposition,[status(thm)],[d47,d57]) ).

cnf(d59,plain,
    'double$udivide'('double$udivide'(inverse(X2),inverse(inverse(X0))),inverse(X2)) = inverse(inverse(X0)),
    inference(demodulation,[status(thm)],[d58,d50]) ).

cnf(d60,plain,
    X2 = 'double$udivide'(inverse(X2),multiply('double$udivide'(inverse(multiply(inverse(X0),multiply('double$udivide'(inverse(X0),X1),X1))),X3),X3)),
    inference(superposition,[status(thm)],[d51,d25]) ).

cnf(d61,plain,
    X3 = 'double$udivide'(inverse(X3),inverse(inverse(multiply(inverse(X0),multiply('double$udivide'(inverse(X0),X1),X1))))),
    inference(demodulation,[status(thm)],[d60,d50]) ).

cnf(d62,plain,
    X2 = 'double$udivide'(inverse(X2),inverse(inverse(multiply(inverse(X0),inverse(inverse(X0)))))),
    inference(demodulation,[status(thm)],[d61,d50]) ).

cnf(d63,plain,
    'double$udivide'(X0,inverse(X0)) = inverse(inverse(multiply(inverse(X1),inverse(inverse(X1))))),
    inference(superposition,[status(thm)],[d62,d59]) ).

cnf(d64,plain,
    'double$udivide'(inverse(X2),'double$udivide'(X1,inverse(X1))) = X2,
    inference(superposition,[status(thm)],[d63,d54]) ).

cnf(d65,plain,
    inverse(X0) = multiply('double$udivide'(X1,inverse(X1)),inverse(X0)),
    inference(superposition,[status(thm)],[d64,d10]) ).

cnf(d66,plain,
    multiply('double$udivide'(X0,X1),X1) = inverse(X0),
    inference(superposition,[status(thm)],[d65,d15]) ).

cnf(d67,plain,
    multiply('double$udivide'(X0,X3),X3) = multiply('double$udivide'(X2,'double$udivide'(X1,X2)),'double$udivide'(X1,X0)),
    inference(superposition,[status(thm)],[d19,d15]) ).

cnf(d68,plain,
    multiply('double$udivide'(X1,X2),X2) = multiply(X0,'double$udivide'(X0,X1)),
    inference(superposition,[status(thm)],[d64,d67]) ).

cnf(d69,plain,
    inverse(X0) = multiply(X2,'double$udivide'(X2,X0)),
    inference(demodulation,[status(thm)],[d68,d66]) ).

cnf(d70,plain,
    X2 = 'double$udivide'(multiply(X3,'double$udivide'(X3,multiply(X2,X0))),inverse(inverse(X0))),
    inference(demodulation,[status(thm)],[d25,d50]) ).

cnf(d71,plain,
    X1 = 'double$udivide'(inverse(multiply(X1,X2)),inverse(inverse(X2))),
    inference(demodulation,[status(thm)],[d70,d69]) ).

cnf(d72,plain,
    X0 = multiply(X0,multiply(inverse(X1),inverse(inverse(X1)))),
    inference(superposition,[status(thm)],[d71,d54]) ).

cnf(d73,plain,
    multiply('double$udivide'(inverse(X0),X3),X3) = multiply(X0,multiply(inverse(X1),multiply('double$udivide'(inverse(X1),X2),X2))),
    inference(superposition,[status(thm)],[d34,d15]) ).

cnf(d74,plain,
    inverse(inverse(X0)) = multiply(X0,multiply(inverse(X2),multiply('double$udivide'(inverse(X2),X3),X3))),
    inference(demodulation,[status(thm)],[d73,d50]) ).

cnf(d75,plain,
    inverse(inverse(X2)) = multiply(X2,multiply(inverse(X0),inverse(inverse(X0)))),
    inference(demodulation,[status(thm)],[d74,d50]) ).

cnf(d76,plain,
    inverse(inverse(X0)) = X0,
    inference(demodulation,[status(thm)],[d75,d72]) ).

cnf(d77,plain,
    'double$udivide'(X2,inverse(X2)) = 'double$udivide'(X1,inverse(X1)),
    inference(superposition,[status(thm)],[d63,d63]) ).

cnf(d78,plain,
    inverse('double$udivide'(X1,inverse(X1))) = multiply(inverse(X0),X0),
    inference(superposition,[status(thm)],[d77,d10]) ).

cnf(d79,plain,
    multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
    inference(demodulation,[status(thm)],[d78,c1]) ).

cnf(d80,plain,
    multiply(multiply(inverse(X0),X0),a2) != a2,
    inference(superposition,[status(thm)],[d79,c2]) ).

cnf(d81,plain,
    'double$udivide'(X1,inverse(X1)) = multiply(inverse(X0),inverse(inverse(X0))),
    inference(demodulation,[status(thm)],[d63,d76]) ).

cnf(d82,plain,
    'double$udivide'(X1,inverse(X1)) = multiply(inverse(X0),X0),
    inference(demodulation,[status(thm)],[d81,d76]) ).

cnf(d83,plain,
    multiply('double$udivide'(X1,inverse(X1)),a2) != a2,
    inference(superposition,[status(thm)],[d82,d80]) ).

cnf(d84,plain,
    multiply(X0,multiply(inverse(X1),multiply('double$udivide'(inverse(X1),X2),X2))) = multiply('double$udivide'(inverse(X0),X3),X3),
    inference(superposition,[status(thm)],[d34,d15]) ).

cnf(d85,plain,
    multiply(X2,multiply(inverse(X0),inverse(inverse(X0)))) = multiply('double$udivide'(inverse(X2),X3),X3),
    inference(demodulation,[status(thm)],[d84,d50]) ).

cnf(d86,plain,
    multiply(X0,multiply(inverse(X2),inverse(inverse(X2)))) = inverse(inverse(X0)),
    inference(demodulation,[status(thm)],[d85,d50]) ).

cnf(d87,plain,
    X0 = inverse(inverse(X0)),
    inference(demodulation,[status(thm)],[d86,d72]) ).

cnf(d88,plain,
    multiply('double$udivide'(inverse(X0),X0),a2) != a2,
    inference(superposition,[status(thm)],[d87,d83]) ).

cnf(d89,plain,
    inverse(X0) = multiply('double$udivide'(X0,X1),X1),
    inference(superposition,[status(thm)],[d65,d15]) ).

cnf(d90,plain,
    inverse(inverse(a2)) != a2,
    inference(superposition,[status(thm)],[d89,d88]) ).

cnf(d91,plain,
    a2 != a2,
    inference(demodulation,[status(thm)],[d90,d76]) ).

cnf(d92,plain,
    'double$udivide'('double$udivide'(inverse(X0),multiply(X4,X5)),'double$udivide'(inverse(X5),multiply('double$udivide'(inverse(X0),multiply('double$udivide'(X1,X3),X3)),multiply('double$udivide'(X1,X2),X2)))) = X4,
    inference(superposition,[status(thm)],[d5,d1]) ).

cnf(d93,plain,
    'double$udivide'('double$udivide'(inverse(X1),multiply(X5,X0)),'double$udivide'(inverse(X0),multiply('double$udivide'(inverse(X1),X4),X4))) = X5,
    inference(superposition,[status(thm)],[d5,d92]) ).

cnf(d94,plain,
    X1 = X1,
    inference(demodulation,[status(thm)],[d93,d1]) ).

cnf(d95,plain,
    $false,
    inference(resolution,[status(thm)],[d94,d91]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP503-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.36  % Computer : n002.cluster.edu
% 0.08/5.36  % Model    : x86_64 x86_64
% 0.08/5.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36  % Memory   : 8046.5625MB
% 0.08/5.36  % OS       : Linux 6.8.0-71-generic
% 0.08/5.36  % CPULimit : 300
% 0.08/5.36  % WCLimit  : 300
% 0.08/5.36  % DateTime : Fri Sep 25 14:59:41 UTC 2026
% 0.08/5.36  % CPUTime  : 
% 0.08/5.36  Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 91.51/18.64  % SZS status Unsatisfiable for theBenchmark.p
% 91.51/18.64  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------