%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP093-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/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 07:22:18 AM UTC 2026
% Result : Unsatisfiable 8.20s 6.89s
% Output : CNFRefutation 8.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 5
% Syntax : Number of clauses : 281 ( 272 unt; 0 nHn; 18 RR)
% Number of literals : 301 ( 300 equ; 32 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 794 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(identity,divide(divide(divide(X0,X1),X2),X0)),X2) = X1 ).
cnf(multiply,axiom,
multiply(X0,X1) = divide(X0,divide(identity,X1)) ).
cnf(inverse,axiom,
inverse(X0) = divide(identity,X0) ).
cnf(identity,axiom,
identity = divide(X0,X0) ).
cnf(prove_these_axioms,negated_conjecture,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ) ).
cnf(c0,plain,
divide(divide(identity,divide(divide(divide(X0,X1),X2),X0)),X2) = X1,
inference(clausification,[status(esa)],[single_axiom]) ).
cnf(c1,plain,
multiply(X0,X1) = divide(X0,divide(identity,X1)),
inference(clausification,[status(esa)],[multiply]) ).
cnf(c2,plain,
inverse(X0) = divide(identity,X0),
inference(clausification,[status(esa)],[inverse]) ).
cnf(c3,plain,
identity = divide(X0,X0),
inference(clausification,[status(esa)],[identity]) ).
cnf(c4,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(clausification,[status(esa)],[prove_these_axioms]) ).
cnf(d0,plain,
identity = inverse(identity),
inference(superposition,[status(thm)],[c2,c3]) ).
cnf(d1,plain,
multiply(X1,X0) = divide(X1,inverse(X0)),
inference(demodulation,[status(thm)],[c1,c2]) ).
cnf(d2,plain,
divide(divide(identity,divide(divide(identity,X1),X0)),X1) = X0,
inference(superposition,[status(thm)],[c3,c0]) ).
cnf(d3,plain,
divide(inverse(divide(divide(identity,X0),X1)),X0) = X1,
inference(demodulation,[status(thm)],[d2,c2]) ).
cnf(d4,plain,
divide(inverse(divide(inverse(X0),X1)),X0) = X1,
inference(demodulation,[status(thm)],[d3,c2]) ).
cnf(d5,plain,
divide(divide(identity,divide(X1,identity)),X2) = divide(divide(divide(X0,X1),X2),X0),
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d6,plain,
divide(inverse(divide(X0,identity)),X1) = divide(divide(divide(X2,X0),X1),X2),
inference(demodulation,[status(thm)],[d5,c2]) ).
cnf(d7,plain,
divide(inverse(divide(divide(divide(X0,X1),X2),X0)),X2) = X1,
inference(demodulation,[status(thm)],[c0,c2]) ).
cnf(d8,plain,
divide(inverse(divide(inverse(divide(X1,identity)),X2)),X2) = X1,
inference(demodulation,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
X0 = divide(X0,identity),
inference(superposition,[status(thm)],[d8,d4]) ).
cnf(d10,plain,
divide(inverse(divide(X0,identity)),X1) = divide(divide(identity,X1),X0),
inference(superposition,[status(thm)],[c3,d6]) ).
cnf(d11,plain,
divide(inverse(X0),X1) = divide(divide(identity,X1),X0),
inference(demodulation,[status(thm)],[d10,d9]) ).
cnf(d12,plain,
divide(inverse(X1),X0) = divide(inverse(X0),X1),
inference(demodulation,[status(thm)],[d11,c2]) ).
cnf(d13,plain,
divide(divide(identity,divide(identity,X0)),divide(X0,X1)) = X1,
inference(superposition,[status(thm)],[c3,c0]) ).
cnf(d14,plain,
divide(inverse(divide(identity,X0)),divide(X0,X1)) = X1,
inference(demodulation,[status(thm)],[d13,c2]) ).
cnf(d15,plain,
divide(inverse(inverse(X0)),divide(X0,X1)) = X1,
inference(demodulation,[status(thm)],[d14,c2]) ).
cnf(d16,plain,
divide(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c3,d15]) ).
cnf(d17,plain,
divide(inverse(identity),inverse(X0)) = X0,
inference(demodulation,[status(thm)],[d16,d12]) ).
cnf(d18,plain,
multiply(inverse(identity),X0) = X0,
inference(demodulation,[status(thm)],[d17,d1]) ).
cnf(d19,plain,
multiply(identity,X0) = X0,
inference(demodulation,[status(thm)],[d18,d0]) ).
cnf(d20,plain,
multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c2,d1]) ).
cnf(d21,plain,
X0 = inverse(inverse(X0)),
inference(demodulation,[status(thm)],[d20,d19]) ).
cnf(d22,plain,
divide(inverse(inverse(inverse(inverse(X0)))),X1) = divide(X0,X1),
inference(superposition,[status(thm)],[d15,d15]) ).
cnf(d23,plain,
divide(inverse(inverse(X0)),X1) = divide(X0,X1),
inference(demodulation,[status(thm)],[d22,d21]) ).
cnf(d24,plain,
divide(X0,X1) = divide(X0,X1),
inference(demodulation,[status(thm)],[d23,d21]) ).
cnf(d25,plain,
divide(X0,inverse(X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[d1,d24]) ).
cnf(d26,plain,
divide(inverse(X1),inverse(X0)) = divide(X0,X1),
inference(superposition,[status(thm)],[d15,d4]) ).
cnf(d27,plain,
multiply(inverse(X0),X1) = divide(X1,X0),
inference(demodulation,[status(thm)],[d26,d1]) ).
cnf(d28,plain,
divide(inverse(divide(divide(X0,X1),identity)),X2) = divide(divide(X1,X2),inverse(inverse(X0))),
inference(superposition,[status(thm)],[d15,d6]) ).
cnf(d29,plain,
divide(inverse(divide(X0,X1)),X2) = divide(divide(X1,X2),inverse(inverse(X0))),
inference(demodulation,[status(thm)],[d28,d9]) ).
cnf(d30,plain,
divide(inverse(divide(X2,X0)),X1) = multiply(divide(X0,X1),inverse(X2)),
inference(demodulation,[status(thm)],[d29,d1]) ).
cnf(d31,plain,
divide(inverse(divide(X1,identity)),X2) = divide(divide(X0,X2),inverse(divide(inverse(divide(X0,identity)),X1))),
inference(superposition,[status(thm)],[d8,d6]) ).
cnf(d32,plain,
multiply(divide(identity,X1),inverse(X0)) = divide(divide(X2,X1),inverse(divide(inverse(divide(X2,identity)),X0))),
inference(demodulation,[status(thm)],[d31,d30]) ).
cnf(d33,plain,
multiply(inverse(X0),inverse(X1)) = divide(divide(X2,X0),inverse(divide(inverse(divide(X2,identity)),X1))),
inference(demodulation,[status(thm)],[d32,c2]) ).
cnf(d34,plain,
divide(inverse(X1),X0) = divide(divide(X2,X0),inverse(divide(inverse(divide(X2,identity)),X1))),
inference(demodulation,[status(thm)],[d33,d27]) ).
cnf(d35,plain,
divide(inverse(X2),X1) = multiply(divide(X0,X1),divide(inverse(divide(X0,identity)),X2)),
inference(demodulation,[status(thm)],[d34,d1]) ).
cnf(d36,plain,
divide(inverse(X1),X2) = multiply(divide(X0,X2),multiply(divide(identity,X1),inverse(X0))),
inference(demodulation,[status(thm)],[d35,d30]) ).
cnf(d37,plain,
divide(inverse(X0),X1) = multiply(divide(X2,X1),multiply(inverse(X0),inverse(X2))),
inference(demodulation,[status(thm)],[d36,c2]) ).
cnf(d38,plain,
divide(inverse(X0),X2) = multiply(divide(X1,X2),divide(inverse(X1),X0)),
inference(demodulation,[status(thm)],[d37,d27]) ).
cnf(d39,plain,
divide(inverse(divide(X1,identity)),inverse(X2)) = divide(multiply(divide(X0,X1),X2),X0),
inference(superposition,[status(thm)],[d1,d6]) ).
cnf(d40,plain,
multiply(inverse(divide(X0,identity)),X1) = divide(multiply(divide(X2,X0),X1),X2),
inference(demodulation,[status(thm)],[d39,d1]) ).
cnf(d41,plain,
multiply(inverse(X0),X1) = divide(multiply(divide(X2,X0),X1),X2),
inference(demodulation,[status(thm)],[d40,d9]) ).
cnf(d42,plain,
divide(inverse(divide(X1,identity)),divide(X0,X1)) = divide(identity,X0),
inference(superposition,[status(thm)],[c3,d6]) ).
cnf(d43,plain,
divide(inverse(X0),divide(X1,X0)) = divide(identity,X1),
inference(demodulation,[status(thm)],[d42,d9]) ).
cnf(d44,plain,
divide(inverse(X1),divide(X0,X1)) = inverse(X0),
inference(demodulation,[status(thm)],[d43,c2]) ).
cnf(d45,plain,
multiply(inverse(divide(X1,X0)),X2) = divide(multiply(inverse(X1),X2),inverse(X0)),
inference(superposition,[status(thm)],[d44,d41]) ).
cnf(d46,plain,
divide(X2,divide(X0,X1)) = divide(multiply(inverse(X0),X2),inverse(X1)),
inference(demodulation,[status(thm)],[d45,d27]) ).
cnf(d47,plain,
divide(X1,divide(X0,X2)) = multiply(multiply(inverse(X0),X1),X2),
inference(demodulation,[status(thm)],[d46,d1]) ).
cnf(d48,plain,
divide(X1,divide(X0,X2)) = multiply(divide(X1,X0),X2),
inference(demodulation,[status(thm)],[d47,d27]) ).
cnf(d49,plain,
inverse(inverse(X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[d1,c2]) ).
cnf(d50,plain,
multiply(X1,inverse(X0)) = divide(X1,multiply(identity,X0)),
inference(superposition,[status(thm)],[d49,d1]) ).
cnf(d51,plain,
multiply(X1,inverse(X0)) = divide(X1,X0),
inference(demodulation,[status(thm)],[d50,d19]) ).
cnf(d52,plain,
divide(inverse(divide(X2,identity)),X0) = divide(divide(inverse(divide(X1,identity)),X2),divide(X0,X1)),
inference(superposition,[status(thm)],[d6,d6]) ).
cnf(d53,plain,
divide(inverse(X0),X1) = divide(divide(inverse(divide(X2,identity)),X0),divide(X1,X2)),
inference(demodulation,[status(thm)],[d52,d9]) ).
cnf(d54,plain,
divide(inverse(X1),X2) = divide(divide(inverse(X0),X1),divide(X2,X0)),
inference(demodulation,[status(thm)],[d53,d9]) ).
cnf(d55,plain,
divide(inverse(inverse(X0)),X1) = divide(identity,divide(X1,X0)),
inference(superposition,[status(thm)],[c3,d54]) ).
cnf(d56,plain,
divide(X0,X1) = divide(identity,divide(X1,X0)),
inference(demodulation,[status(thm)],[d55,d21]) ).
cnf(d57,plain,
divide(X1,X0) = inverse(divide(X0,X1)),
inference(demodulation,[status(thm)],[d56,c2]) ).
cnf(d58,plain,
multiply(divide(divide(inverse(X0),X1),X2),X0) = divide(inverse(divide(X1,identity)),X2),
inference(superposition,[status(thm)],[d6,d1]) ).
cnf(d59,plain,
multiply(divide(divide(inverse(X1),X0),X2),X1) = divide(inverse(X0),X2),
inference(demodulation,[status(thm)],[d58,d9]) ).
cnf(d60,plain,
multiply(divide(inverse(X1),X2),X0) = divide(inverse(divide(X1,X0)),X2),
inference(superposition,[status(thm)],[d44,d59]) ).
cnf(d61,plain,
multiply(divide(inverse(X0),X2),X1) = divide(divide(X1,X0),X2),
inference(demodulation,[status(thm)],[d60,d57]) ).
cnf(d62,plain,
divide(inverse(divide(inverse(X1),identity)),X2) = divide(divide(multiply(X0,X1),X2),X0),
inference(superposition,[status(thm)],[d1,d6]) ).
cnf(d63,plain,
divide(inverse(inverse(X0)),X1) = divide(divide(multiply(X2,X0),X1),X2),
inference(demodulation,[status(thm)],[d62,d9]) ).
cnf(d64,plain,
divide(multiply(identity,X0),X1) = divide(divide(multiply(X2,X0),X1),X2),
inference(demodulation,[status(thm)],[d63,d49]) ).
cnf(d65,plain,
divide(inverse(X0),divide(multiply(identity,X1),X2)) = inverse(divide(multiply(X0,X1),X2)),
inference(superposition,[status(thm)],[d64,d44]) ).
cnf(d66,plain,
multiply(divide(inverse(X0),multiply(identity,X1)),X2) = inverse(divide(multiply(X0,X1),X2)),
inference(demodulation,[status(thm)],[d65,d48]) ).
cnf(d67,plain,
divide(divide(X2,X0),multiply(identity,X1)) = inverse(divide(multiply(X0,X1),X2)),
inference(demodulation,[status(thm)],[d66,d61]) ).
cnf(d68,plain,
divide(divide(X1,X2),X0) = inverse(divide(multiply(X2,X0),X1)),
inference(demodulation,[status(thm)],[d67,d19]) ).
cnf(d69,plain,
divide(divide(X2,X0),X1) = divide(X2,multiply(X0,X1)),
inference(demodulation,[status(thm)],[d68,d57]) ).
cnf(d70,plain,
divide(inverse(divide(X0,identity)),X3) = divide(divide(divide(inverse(divide(X1,identity)),X2),X3),divide(divide(X0,X1),X2)),
inference(superposition,[status(thm)],[d6,d6]) ).
cnf(d71,plain,
divide(inverse(X0),X1) = divide(divide(divide(inverse(divide(X2,identity)),X3),X1),divide(divide(X0,X2),X3)),
inference(demodulation,[status(thm)],[d70,d9]) ).
cnf(d72,plain,
divide(inverse(X1),X2) = divide(divide(divide(inverse(X0),X3),X2),divide(divide(X1,X0),X3)),
inference(demodulation,[status(thm)],[d71,d9]) ).
cnf(d73,plain,
divide(inverse(divide(multiply(X0,X1),X2)),X3) = divide(divide(divide(inverse(X0),X4),X3),divide(divide(multiply(identity,X1),X2),X4)),
inference(superposition,[status(thm)],[d64,d72]) ).
cnf(d74,plain,
divide(divide(X2,multiply(X0,X1)),X3) = divide(divide(divide(inverse(X0),X4),X3),divide(divide(multiply(identity,X1),X2),X4)),
inference(demodulation,[status(thm)],[d73,d57]) ).
cnf(d75,plain,
divide(X0,multiply(multiply(X1,X2),X3)) = divide(divide(divide(inverse(X1),X4),X3),divide(divide(multiply(identity,X2),X0),X4)),
inference(demodulation,[status(thm)],[d74,d69]) ).
cnf(d76,plain,
divide(X4,multiply(multiply(X0,X3),X2)) = divide(divide(inverse(X0),X1),multiply(X2,divide(divide(multiply(identity,X3),X4),X1))),
inference(demodulation,[status(thm)],[d75,d69]) ).
cnf(d77,plain,
divide(X4,multiply(multiply(X0,X3),X2)) = divide(inverse(X0),multiply(X1,multiply(X2,divide(divide(multiply(identity,X3),X4),X1)))),
inference(demodulation,[status(thm)],[d76,d69]) ).
cnf(d78,plain,
divide(X1,multiply(multiply(X3,X0),X4)) = divide(inverse(X3),multiply(X2,multiply(X4,divide(multiply(identity,X0),multiply(X1,X2))))),
inference(demodulation,[status(thm)],[d77,d69]) ).
cnf(d79,plain,
divide(X1,multiply(multiply(X2,X0),X3)) = divide(inverse(X2),multiply(X4,multiply(X3,divide(X0,multiply(X1,X4))))),
inference(demodulation,[status(thm)],[d78,d19]) ).
cnf(d80,plain,
divide(inverse(divide(X1,identity)),X2) = multiply(divide(divide(inverse(X0),X1),X2),X0),
inference(superposition,[status(thm)],[d1,d6]) ).
cnf(d81,plain,
divide(inverse(X0),X1) = multiply(divide(divide(inverse(X2),X0),X1),X2),
inference(demodulation,[status(thm)],[d80,d9]) ).
cnf(d82,plain,
divide(multiply(identity,X0),X3) = divide(divide(divide(inverse(X1),X2),X3),divide(divide(inverse(X0),X1),X2)),
inference(superposition,[status(thm)],[d81,d64]) ).
cnf(d83,plain,
divide(X0,X1) = divide(divide(divide(inverse(X2),X3),X1),divide(divide(inverse(X0),X2),X3)),
inference(demodulation,[status(thm)],[d82,d19]) ).
cnf(d84,plain,
divide(X3,X2) = divide(divide(inverse(X0),X1),multiply(X2,divide(divide(inverse(X3),X0),X1))),
inference(demodulation,[status(thm)],[d83,d69]) ).
cnf(d85,plain,
divide(X3,X2) = divide(inverse(X0),multiply(X1,multiply(X2,divide(divide(inverse(X3),X0),X1)))),
inference(demodulation,[status(thm)],[d84,d69]) ).
cnf(d86,plain,
divide(X0,X3) = divide(inverse(X1),multiply(X2,multiply(X3,divide(inverse(X0),multiply(X1,X2))))),
inference(demodulation,[status(thm)],[d85,d69]) ).
cnf(d87,plain,
divide(X3,X2) = divide(X0,multiply(multiply(X0,inverse(X3)),X2)),
inference(demodulation,[status(thm)],[d86,d79]) ).
cnf(d88,plain,
divide(X1,X2) = divide(X0,multiply(divide(X0,X1),X2)),
inference(demodulation,[status(thm)],[d87,d51]) ).
cnf(d89,plain,
divide(divide(identity,divide(divide(X1,X3),divide(identity,divide(divide(divide(X0,X1),X2),X0)))),X3) = X2,
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d90,plain,
divide(inverse(divide(divide(X0,X1),divide(identity,divide(divide(divide(X2,X0),X3),X2)))),X1) = X3,
inference(demodulation,[status(thm)],[d89,c2]) ).
cnf(d91,plain,
divide(inverse(divide(divide(X1,X3),inverse(divide(divide(divide(X0,X1),X2),X0)))),X3) = X2,
inference(demodulation,[status(thm)],[d90,c2]) ).
cnf(d92,plain,
divide(inverse(multiply(divide(X0,X1),divide(divide(divide(X2,X0),X3),X2))),X1) = X3,
inference(demodulation,[status(thm)],[d91,d1]) ).
cnf(d93,plain,
divide(inverse(multiply(divide(X1,X3),divide(inverse(divide(X1,identity)),X2))),X3) = X2,
inference(demodulation,[status(thm)],[d92,d6]) ).
cnf(d94,plain,
divide(inverse(divide(X1,identity)),X3) = divide(divide(X2,X3),inverse(multiply(divide(X0,X1),divide(inverse(divide(X0,identity)),X2)))),
inference(superposition,[status(thm)],[d93,d6]) ).
cnf(d95,plain,
divide(inverse(X0),X1) = divide(divide(X2,X1),inverse(multiply(divide(X3,X0),divide(inverse(divide(X3,identity)),X2)))),
inference(demodulation,[status(thm)],[d94,d9]) ).
cnf(d96,plain,
divide(inverse(X3),X1) = multiply(divide(X0,X1),multiply(divide(X2,X3),divide(inverse(divide(X2,identity)),X0))),
inference(demodulation,[status(thm)],[d95,d1]) ).
cnf(d97,plain,
divide(inverse(X1),X2) = multiply(divide(X3,X2),multiply(divide(X0,X1),divide(inverse(X0),X3))),
inference(demodulation,[status(thm)],[d96,d9]) ).
cnf(d98,plain,
divide(inverse(divide(X1,X0)),X2) = multiply(divide(X3,X2),multiply(inverse(X1),divide(inverse(inverse(X0)),X3))),
inference(superposition,[status(thm)],[d44,d97]) ).
cnf(d99,plain,
divide(divide(X1,X0),X2) = multiply(divide(X3,X2),multiply(inverse(X0),divide(inverse(inverse(X1)),X3))),
inference(demodulation,[status(thm)],[d98,d57]) ).
cnf(d100,plain,
divide(X0,multiply(X1,X2)) = multiply(divide(X3,X2),multiply(inverse(X1),divide(inverse(inverse(X0)),X3))),
inference(demodulation,[status(thm)],[d99,d69]) ).
cnf(d101,plain,
divide(X1,multiply(X0,X3)) = multiply(divide(X2,X3),divide(divide(inverse(inverse(X1)),X2),X0)),
inference(demodulation,[status(thm)],[d100,d27]) ).
cnf(d102,plain,
divide(X0,multiply(X2,X3)) = multiply(divide(X1,X3),divide(inverse(inverse(X0)),multiply(X1,X2))),
inference(demodulation,[status(thm)],[d101,d69]) ).
cnf(d103,plain,
divide(X0,multiply(X1,X2)) = multiply(divide(X3,X2),divide(X0,multiply(X3,X1))),
inference(demodulation,[status(thm)],[d102,d21]) ).
cnf(d104,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c3,c2]) ).
cnf(d105,plain,
divide(inverse(X0),X1) = multiply(divide(X2,X1),multiply(divide(identity,X0),divide(identity,X2))),
inference(superposition,[status(thm)],[d104,d97]) ).
cnf(d106,plain,
divide(inverse(X0),X1) = multiply(divide(X2,X1),multiply(inverse(X0),divide(identity,X2))),
inference(demodulation,[status(thm)],[d105,c2]) ).
cnf(d107,plain,
divide(inverse(X0),X2) = multiply(divide(X1,X2),divide(divide(identity,X1),X0)),
inference(demodulation,[status(thm)],[d106,d27]) ).
cnf(d108,plain,
divide(inverse(X1),X2) = multiply(divide(X0,X2),divide(identity,multiply(X0,X1))),
inference(demodulation,[status(thm)],[d107,d69]) ).
cnf(d109,plain,
divide(inverse(X2),X1) = divide(identity,multiply(X2,X1)),
inference(demodulation,[status(thm)],[d108,d103]) ).
cnf(d110,plain,
divide(inverse(X0),X1) = inverse(multiply(X0,X1)),
inference(demodulation,[status(thm)],[d109,c2]) ).
cnf(d111,plain,
divide(inverse(multiply(divide(inverse(multiply(divide(X0,identity),divide(inverse(divide(X0,identity)),X1))),X2),divide(inverse(X1),X3))),X2) = X3,
inference(superposition,[status(thm)],[d93,d93]) ).
cnf(d112,plain,
divide(inverse(X2),multiply(divide(inverse(multiply(divide(X0,identity),divide(inverse(divide(X0,identity)),X1))),X2),divide(inverse(X1),X3))) = X3,
inference(demodulation,[status(thm)],[d111,d12]) ).
cnf(d113,plain,
divide(inverse(X1),multiply(divide(inverse(multiply(X0,divide(inverse(divide(X0,identity)),X2))),X1),divide(inverse(X2),X3))) = X3,
inference(demodulation,[status(thm)],[d112,d9]) ).
cnf(d114,plain,
divide(inverse(X1),multiply(divide(inverse(multiply(X0,divide(inverse(X0),X2))),X1),divide(inverse(X2),X3))) = X3,
inference(demodulation,[status(thm)],[d113,d9]) ).
cnf(d115,plain,
divide(inverse(X4),multiply(divide(inverse(multiply(X1,divide(inverse(X1),X2))),X0),divide(inverse(X2),X3))) = multiply(X3,multiply(divide(X5,X4),divide(inverse(X5),inverse(X0)))),
inference(superposition,[status(thm)],[d114,d97]) ).
cnf(d116,plain,
divide(inverse(X2),multiply(divide(divide(inverse(X0),divide(inverse(X0),X1)),X3),divide(inverse(X1),X4))) = multiply(X4,multiply(divide(X5,X2),divide(inverse(X5),inverse(X3)))),
inference(demodulation,[status(thm)],[d115,d110]) ).
cnf(d117,plain,
divide(inverse(X3),multiply(divide(inverse(X0),multiply(divide(inverse(X0),X1),X2)),divide(inverse(X1),X4))) = multiply(X4,multiply(divide(X5,X3),divide(inverse(X5),inverse(X2)))),
inference(demodulation,[status(thm)],[d116,d69]) ).
cnf(d118,plain,
divide(inverse(X3),multiply(divide(X1,X2),divide(inverse(X1),X4))) = multiply(X4,multiply(divide(X5,X3),divide(inverse(X5),inverse(X2)))),
inference(demodulation,[status(thm)],[d117,d88]) ).
cnf(d119,plain,
divide(inverse(X3),divide(inverse(X2),X1)) = multiply(X2,multiply(divide(X4,X3),divide(inverse(X4),inverse(X1)))),
inference(demodulation,[status(thm)],[d118,d38]) ).
cnf(d120,plain,
multiply(divide(inverse(X0),inverse(X1)),X2) = multiply(X1,multiply(divide(X3,X0),divide(inverse(X3),inverse(X2)))),
inference(demodulation,[status(thm)],[d119,d48]) ).
cnf(d121,plain,
multiply(multiply(inverse(X0),X1),X2) = multiply(X1,multiply(divide(X3,X0),divide(inverse(X3),inverse(X2)))),
inference(demodulation,[status(thm)],[d120,d1]) ).
cnf(d122,plain,
multiply(divide(X1,X0),X2) = multiply(X1,multiply(divide(X3,X0),divide(inverse(X3),inverse(X2)))),
inference(demodulation,[status(thm)],[d121,d27]) ).
cnf(d123,plain,
multiply(divide(X3,X1),X2) = multiply(X3,divide(inverse(inverse(X2)),X1)),
inference(demodulation,[status(thm)],[d122,d38]) ).
cnf(d124,plain,
multiply(divide(X1,X2),X0) = multiply(X1,divide(X0,X2)),
inference(demodulation,[status(thm)],[d123,d21]) ).
cnf(d125,plain,
divide(inverse(multiply(identity,divide(inverse(divide(X0,identity)),X1))),X0) = X1,
inference(superposition,[status(thm)],[c3,d93]) ).
cnf(d126,plain,
divide(inverse(X0),multiply(identity,divide(inverse(divide(X0,identity)),X1))) = X1,
inference(demodulation,[status(thm)],[d125,d12]) ).
cnf(d127,plain,
divide(inverse(X0),divide(inverse(divide(X0,identity)),X1)) = X1,
inference(demodulation,[status(thm)],[d126,d19]) ).
cnf(d128,plain,
divide(inverse(X0),divide(inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[d127,d9]) ).
cnf(d129,plain,
divide(inverse(divide(inverse(X0),X1)),X2) = multiply(divide(X1,X2),X0),
inference(superposition,[status(thm)],[d128,d81]) ).
cnf(d130,plain,
divide(divide(X1,inverse(X0)),X2) = multiply(divide(X1,X2),X0),
inference(demodulation,[status(thm)],[d129,d57]) ).
cnf(d131,plain,
divide(X0,multiply(inverse(X1),X2)) = multiply(divide(X0,X2),X1),
inference(demodulation,[status(thm)],[d130,d69]) ).
cnf(d132,plain,
divide(X2,divide(X1,X0)) = multiply(divide(X2,X1),X0),
inference(demodulation,[status(thm)],[d131,d27]) ).
cnf(d133,plain,
divide(X0,divide(X1,X2)) = multiply(X0,divide(X2,X1)),
inference(demodulation,[status(thm)],[d132,d124]) ).
cnf(d134,plain,
multiply(X0,identity) = divide(X0,identity),
inference(superposition,[status(thm)],[d0,d1]) ).
cnf(d135,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[d134,d9]) ).
cnf(d136,plain,
divide(multiply(identity,identity),X1) = divide(divide(X0,X1),X0),
inference(superposition,[status(thm)],[d135,d64]) ).
cnf(d137,plain,
divide(identity,X0) = divide(divide(X1,X0),X1),
inference(demodulation,[status(thm)],[d136,d19]) ).
cnf(d138,plain,
inverse(X0) = divide(divide(X1,X0),X1),
inference(demodulation,[status(thm)],[d137,c2]) ).
cnf(d139,plain,
inverse(X1) = divide(X0,multiply(X1,X0)),
inference(demodulation,[status(thm)],[d138,d69]) ).
cnf(d140,plain,
divide(inverse(divide(inverse(X0),X1)),X2) = multiply(divide(X3,X2),multiply(X1,divide(inverse(inverse(X0)),X3))),
inference(superposition,[status(thm)],[d128,d97]) ).
cnf(d141,plain,
divide(divide(X1,inverse(X0)),X2) = multiply(divide(X3,X2),multiply(X1,divide(inverse(inverse(X0)),X3))),
inference(demodulation,[status(thm)],[d140,d57]) ).
cnf(d142,plain,
divide(X0,multiply(inverse(X1),X2)) = multiply(divide(X3,X2),multiply(X0,divide(inverse(inverse(X1)),X3))),
inference(demodulation,[status(thm)],[d141,d69]) ).
cnf(d143,plain,
divide(X2,divide(X1,X0)) = multiply(divide(X3,X1),multiply(X2,divide(inverse(inverse(X0)),X3))),
inference(demodulation,[status(thm)],[d142,d27]) ).
cnf(d144,plain,
multiply(X0,divide(X2,X1)) = multiply(divide(X3,X1),multiply(X0,divide(inverse(inverse(X2)),X3))),
inference(demodulation,[status(thm)],[d143,d133]) ).
cnf(d145,plain,
multiply(X2,divide(X3,X1)) = multiply(X0,divide(multiply(X2,divide(inverse(inverse(X3)),X0)),X1)),
inference(demodulation,[status(thm)],[d144,d124]) ).
cnf(d146,plain,
multiply(X1,divide(X0,X2)) = multiply(X3,divide(multiply(X1,divide(X0,X3)),X2)),
inference(demodulation,[status(thm)],[d145,d21]) ).
cnf(d147,plain,
divide(inverse(X0),X1) = multiply(divide(X2,X1),multiply(inverse(X0),divide(inverse(identity),X2))),
inference(superposition,[status(thm)],[c2,d97]) ).
cnf(d148,plain,
divide(inverse(X0),X2) = multiply(divide(X1,X2),divide(divide(inverse(identity),X1),X0)),
inference(demodulation,[status(thm)],[d147,d27]) ).
cnf(d149,plain,
divide(inverse(X1),X2) = multiply(divide(X0,X2),divide(inverse(identity),multiply(X0,X1))),
inference(demodulation,[status(thm)],[d148,d69]) ).
cnf(d150,plain,
divide(inverse(X0),X1) = multiply(divide(X2,X1),divide(identity,multiply(X2,X0))),
inference(demodulation,[status(thm)],[d149,d0]) ).
cnf(d151,plain,
divide(inverse(X1),X2) = multiply(divide(X0,X2),inverse(multiply(X0,X1))),
inference(demodulation,[status(thm)],[d150,c2]) ).
cnf(d152,plain,
divide(inverse(X2),X1) = divide(divide(X0,X1),multiply(X0,X2)),
inference(demodulation,[status(thm)],[d151,d51]) ).
cnf(d153,plain,
divide(inverse(X2),X1) = divide(X0,multiply(X1,multiply(X0,X2))),
inference(demodulation,[status(thm)],[d152,d69]) ).
cnf(d154,plain,
divide(inverse(multiply(multiply(X0,X1),divide(inverse(divide(X0,identity)),X2))),inverse(X1)) = X2,
inference(superposition,[status(thm)],[d1,d93]) ).
cnf(d155,plain,
divide(inverse(inverse(X1)),multiply(multiply(X0,X1),divide(inverse(divide(X0,identity)),X2))) = X2,
inference(demodulation,[status(thm)],[d154,d12]) ).
cnf(d156,plain,
divide(X0,multiply(multiply(X1,X0),divide(inverse(divide(X1,identity)),X2))) = X2,
inference(demodulation,[status(thm)],[d155,d21]) ).
cnf(d157,plain,
divide(X1,multiply(multiply(X0,X1),divide(inverse(X0),X2))) = X2,
inference(demodulation,[status(thm)],[d156,d9]) ).
cnf(d158,plain,
divide(inverse(multiply(multiply(X1,X0),divide(inverse(X1),X2))),X3) = multiply(divide(X4,X3),multiply(X2,divide(inverse(X0),X4))),
inference(superposition,[status(thm)],[d157,d97]) ).
cnf(d159,plain,
divide(divide(inverse(multiply(X0,X1)),divide(inverse(X0),X2)),X3) = multiply(divide(X4,X3),multiply(X2,divide(inverse(X1),X4))),
inference(demodulation,[status(thm)],[d158,d110]) ).
cnf(d160,plain,
divide(inverse(multiply(X0,X1)),multiply(divide(inverse(X0),X2),X3)) = multiply(divide(X4,X3),multiply(X2,divide(inverse(X1),X4))),
inference(demodulation,[status(thm)],[d159,d69]) ).
cnf(d161,plain,
divide(divide(inverse(X0),X1),multiply(divide(inverse(X0),X2),X3)) = multiply(divide(X4,X3),multiply(X2,divide(inverse(X1),X4))),
inference(demodulation,[status(thm)],[d160,d110]) ).
cnf(d162,plain,
divide(inverse(X0),multiply(X1,multiply(divide(inverse(X0),X2),X3))) = multiply(divide(X4,X3),multiply(X2,divide(inverse(X1),X4))),
inference(demodulation,[status(thm)],[d161,d69]) ).
cnf(d163,plain,
divide(inverse(X0),multiply(X3,multiply(inverse(X0),divide(X2,X1)))) = multiply(divide(X4,X2),multiply(X1,divide(inverse(X3),X4))),
inference(demodulation,[status(thm)],[d162,d124]) ).
cnf(d164,plain,
divide(inverse(divide(X2,X3)),X1) = multiply(divide(X4,X2),multiply(X3,divide(inverse(X1),X4))),
inference(demodulation,[status(thm)],[d163,d153]) ).
cnf(d165,plain,
divide(divide(X1,X0),X2) = multiply(divide(X3,X0),multiply(X1,divide(inverse(X2),X3))),
inference(demodulation,[status(thm)],[d164,d57]) ).
cnf(d166,plain,
divide(X0,multiply(X1,X2)) = multiply(divide(X3,X1),multiply(X0,divide(inverse(X2),X3))),
inference(demodulation,[status(thm)],[d165,d69]) ).
cnf(d167,plain,
divide(X2,multiply(X1,X3)) = multiply(X0,divide(multiply(X2,divide(inverse(X3),X0)),X1)),
inference(demodulation,[status(thm)],[d166,d124]) ).
cnf(d168,plain,
divide(X1,multiply(X3,X2)) = multiply(X1,divide(inverse(X2),X3)),
inference(demodulation,[status(thm)],[d167,d146]) ).
cnf(d169,plain,
multiply(inverse(divide(inverse(X0),X1)),X2) = divide(multiply(X1,X2),inverse(X0)),
inference(superposition,[status(thm)],[d128,d41]) ).
cnf(d170,plain,
divide(X2,divide(inverse(X0),X1)) = divide(multiply(X1,X2),inverse(X0)),
inference(demodulation,[status(thm)],[d169,d27]) ).
cnf(d171,plain,
multiply(X0,divide(X2,inverse(X1))) = divide(multiply(X2,X0),inverse(X1)),
inference(demodulation,[status(thm)],[d170,d133]) ).
cnf(d172,plain,
multiply(X2,multiply(X0,X1)) = divide(multiply(X0,X2),inverse(X1)),
inference(demodulation,[status(thm)],[d171,d1]) ).
cnf(d173,plain,
multiply(X1,multiply(X0,X2)) = multiply(multiply(X0,X1),X2),
inference(demodulation,[status(thm)],[d172,d1]) ).
cnf(d174,plain,
multiply(inverse(multiply(multiply(X1,X0),divide(inverse(X1),X2))),X3) = divide(multiply(X2,X3),X0),
inference(superposition,[status(thm)],[d157,d41]) ).
cnf(d175,plain,
divide(X3,multiply(multiply(X0,X1),divide(inverse(X0),X2))) = divide(multiply(X2,X3),X1),
inference(demodulation,[status(thm)],[d174,d27]) ).
cnf(d176,plain,
divide(X3,multiply(X1,multiply(X0,divide(inverse(X0),X2)))) = divide(multiply(X2,X3),X1),
inference(demodulation,[status(thm)],[d175,d173]) ).
cnf(d177,plain,
divide(X2,multiply(X3,divide(X0,multiply(X1,X0)))) = divide(multiply(X1,X2),X3),
inference(demodulation,[status(thm)],[d176,d168]) ).
cnf(d178,plain,
divide(X2,multiply(X3,inverse(X1))) = divide(multiply(X1,X2),X3),
inference(demodulation,[status(thm)],[d177,d139]) ).
cnf(d179,plain,
divide(X2,divide(X0,X1)) = divide(multiply(X1,X2),X0),
inference(demodulation,[status(thm)],[d178,d51]) ).
cnf(d180,plain,
multiply(X0,divide(X2,X1)) = divide(multiply(X2,X0),X1),
inference(demodulation,[status(thm)],[d179,d133]) ).
cnf(d181,plain,
divide(inverse(multiply(X1,divide(inverse(divide(inverse(inverse(X0)),identity)),X2))),divide(X0,X1)) = X2,
inference(superposition,[status(thm)],[d15,d93]) ).
cnf(d182,plain,
divide(inverse(divide(X1,X0)),multiply(X0,divide(inverse(divide(inverse(inverse(X1)),identity)),X2))) = X2,
inference(demodulation,[status(thm)],[d181,d12]) ).
cnf(d183,plain,
divide(inverse(divide(X0,X1)),multiply(X1,divide(inverse(divide(inverse(identity),inverse(X0))),X2))) = X2,
inference(demodulation,[status(thm)],[d182,d12]) ).
cnf(d184,plain,
divide(inverse(divide(X0,X1)),multiply(X1,divide(inverse(multiply(inverse(identity),X0)),X2))) = X2,
inference(demodulation,[status(thm)],[d183,d1]) ).
cnf(d185,plain,
divide(inverse(divide(X0,X1)),multiply(X1,divide(inverse(multiply(identity,X0)),X2))) = X2,
inference(demodulation,[status(thm)],[d184,d0]) ).
cnf(d186,plain,
divide(inverse(divide(X0,X1)),multiply(X1,divide(inverse(X0),X2))) = X2,
inference(demodulation,[status(thm)],[d185,d19]) ).
cnf(d187,plain,
divide(inverse(multiply(X1,divide(inverse(X0),X2))),X3) = multiply(divide(X2,X3),divide(X0,X1)),
inference(superposition,[status(thm)],[d186,d81]) ).
cnf(d188,plain,
divide(divide(inverse(X0),divide(inverse(X1),X2)),X3) = multiply(divide(X2,X3),divide(X1,X0)),
inference(demodulation,[status(thm)],[d187,d110]) ).
cnf(d189,plain,
divide(inverse(X0),multiply(divide(inverse(X1),X2),X3)) = multiply(divide(X2,X3),divide(X1,X0)),
inference(demodulation,[status(thm)],[d188,d69]) ).
cnf(d190,plain,
divide(inverse(X3),multiply(inverse(X0),divide(X2,X1))) = multiply(divide(X1,X2),divide(X0,X3)),
inference(demodulation,[status(thm)],[d189,d124]) ).
cnf(d191,plain,
divide(inverse(X3),divide(divide(X1,X2),X0)) = multiply(divide(X2,X1),divide(X0,X3)),
inference(demodulation,[status(thm)],[d190,d27]) ).
cnf(d192,plain,
multiply(inverse(X0),divide(X3,divide(X1,X2))) = multiply(divide(X2,X1),divide(X3,X0)),
inference(demodulation,[status(thm)],[d191,d133]) ).
cnf(d193,plain,
divide(divide(X1,divide(X2,X3)),X0) = multiply(divide(X3,X2),divide(X1,X0)),
inference(demodulation,[status(thm)],[d192,d27]) ).
cnf(d194,plain,
divide(X0,multiply(divide(X1,X2),X3)) = multiply(divide(X2,X1),divide(X0,X3)),
inference(demodulation,[status(thm)],[d193,d69]) ).
cnf(d195,plain,
divide(X3,multiply(X0,divide(X2,X1))) = multiply(divide(X1,X0),divide(X3,X2)),
inference(demodulation,[status(thm)],[d194,d124]) ).
cnf(d196,plain,
divide(X2,multiply(X1,divide(X3,X0))) = multiply(X0,divide(divide(X2,X3),X1)),
inference(demodulation,[status(thm)],[d195,d124]) ).
cnf(d197,plain,
divide(X0,multiply(X2,divide(X1,X3))) = multiply(X3,divide(X0,multiply(X1,X2))),
inference(demodulation,[status(thm)],[d196,d69]) ).
cnf(d198,plain,
divide(inverse(multiply(divide(inverse(divide(inverse(identity),X0)),X1),divide(inverse(X0),X2))),X1) = X2,
inference(superposition,[status(thm)],[d4,d93]) ).
cnf(d199,plain,
divide(inverse(X1),multiply(divide(inverse(divide(inverse(identity),X0)),X1),divide(inverse(X0),X2))) = X2,
inference(demodulation,[status(thm)],[d198,d12]) ).
cnf(d200,plain,
divide(inverse(X1),multiply(multiply(divide(X0,X1),inverse(inverse(identity))),divide(inverse(X0),X2))) = X2,
inference(demodulation,[status(thm)],[d199,d30]) ).
cnf(d201,plain,
divide(inverse(X0),multiply(multiply(divide(X1,X0),identity),divide(inverse(X1),X2))) = X2,
inference(demodulation,[status(thm)],[d200,d21]) ).
cnf(d202,plain,
divide(inverse(X1),multiply(divide(X0,X1),divide(inverse(X0),X2))) = X2,
inference(demodulation,[status(thm)],[d201,d135]) ).
cnf(d203,plain,
multiply(inverse(multiply(divide(X1,X0),divide(inverse(X1),X2))),X3) = divide(multiply(X2,X3),inverse(X0)),
inference(superposition,[status(thm)],[d202,d41]) ).
cnf(d204,plain,
divide(X3,multiply(divide(X0,X1),divide(inverse(X0),X2))) = divide(multiply(X2,X3),inverse(X1)),
inference(demodulation,[status(thm)],[d203,d27]) ).
cnf(d205,plain,
multiply(X3,divide(X0,multiply(inverse(X1),divide(X1,X2)))) = divide(multiply(X3,X0),inverse(X2)),
inference(demodulation,[status(thm)],[d204,d197]) ).
cnf(d206,plain,
multiply(X3,multiply(X2,divide(X0,multiply(X1,inverse(X1))))) = divide(multiply(X3,X0),inverse(X2)),
inference(demodulation,[status(thm)],[d205,d197]) ).
cnf(d207,plain,
multiply(X1,multiply(X2,divide(X3,divide(X0,X0)))) = divide(multiply(X1,X3),inverse(X2)),
inference(demodulation,[status(thm)],[d206,d51]) ).
cnf(d208,plain,
multiply(X2,multiply(X3,multiply(X0,divide(X1,X1)))) = divide(multiply(X2,X0),inverse(X3)),
inference(demodulation,[status(thm)],[d207,d133]) ).
cnf(d209,plain,
multiply(X1,multiply(X2,multiply(X3,identity))) = divide(multiply(X1,X3),inverse(X2)),
inference(demodulation,[status(thm)],[d208,c3]) ).
cnf(d210,plain,
multiply(X1,multiply(X2,X0)) = divide(multiply(X1,X0),inverse(X2)),
inference(demodulation,[status(thm)],[d209,d135]) ).
cnf(d211,plain,
multiply(X0,multiply(X2,X1)) = multiply(X1,divide(X0,inverse(X2))),
inference(demodulation,[status(thm)],[d210,d180]) ).
cnf(d212,plain,
multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X0,X1)),
inference(demodulation,[status(thm)],[d211,d25]) ).
cnf(d213,plain,
multiply(inverse(divide(inverse(divide(X0,identity)),inverse(X1))),X1) = X0,
inference(superposition,[status(thm)],[d8,d1]) ).
cnf(d214,plain,
divide(X1,divide(inverse(divide(X0,identity)),inverse(X1))) = X0,
inference(demodulation,[status(thm)],[d213,d27]) ).
cnf(d215,plain,
divide(X1,multiply(divide(identity,inverse(X1)),inverse(X0))) = X0,
inference(demodulation,[status(thm)],[d214,d30]) ).
cnf(d216,plain,
divide(X0,multiply(inverse(inverse(X0)),inverse(X1))) = X1,
inference(demodulation,[status(thm)],[d215,c2]) ).
cnf(d217,plain,
divide(X0,divide(inverse(X1),inverse(X0))) = X1,
inference(demodulation,[status(thm)],[d216,d27]) ).
cnf(d218,plain,
divide(X1,multiply(inverse(X0),X1)) = X0,
inference(demodulation,[status(thm)],[d217,d1]) ).
cnf(d219,plain,
divide(X1,divide(X1,X0)) = X0,
inference(demodulation,[status(thm)],[d218,d27]) ).
cnf(d220,plain,
divide(inverse(divide(X1,X0)),X2) = divide(inverse(X1),divide(X2,X0)),
inference(superposition,[status(thm)],[d44,d54]) ).
cnf(d221,plain,
divide(divide(X1,X0),X2) = divide(inverse(X0),divide(X2,X1)),
inference(demodulation,[status(thm)],[d220,d57]) ).
cnf(d222,plain,
divide(inverse(divide(X2,X0)),divide(inverse(X1),X2)) = inverse(divide(inverse(X0),X1)),
inference(superposition,[status(thm)],[d54,d44]) ).
cnf(d223,plain,
divide(divide(X0,divide(X0,X1)),inverse(X2)) = inverse(divide(inverse(X1),X2)),
inference(demodulation,[status(thm)],[d222,d221]) ).
cnf(d224,plain,
multiply(divide(X0,divide(X0,X1)),X2) = inverse(divide(inverse(X1),X2)),
inference(demodulation,[status(thm)],[d223,d1]) ).
cnf(d225,plain,
multiply(X1,X2) = inverse(divide(inverse(X1),X2)),
inference(demodulation,[status(thm)],[d224,d219]) ).
cnf(d226,plain,
multiply(X0,X1) = divide(X1,inverse(X0)),
inference(demodulation,[status(thm)],[d225,d57]) ).
cnf(d227,plain,
multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[status(thm)],[d226,d1]) ).
cnf(d228,plain,
identity = multiply(inverse(X0),X0),
inference(superposition,[status(thm)],[d1,c3]) ).
cnf(d229,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(identity,a2) != a2 ),
inference(demodulation,[status(thm)],[c4,d228]) ).
cnf(d230,plain,
( multiply(a4,b4) != multiply(b4,a4)
| identity != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(identity,a2) != a2 ),
inference(demodulation,[status(thm)],[d229,d228]) ).
cnf(d231,plain,
( multiply(a4,b4) != multiply(b4,a4)
| identity != identity
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(identity,a2) != a2 ),
inference(demodulation,[status(thm)],[d230,d228]) ).
cnf(d232,plain,
inverse(identity) = multiply(identity,identity),
inference(superposition,[status(thm)],[d104,d49]) ).
cnf(d233,plain,
identity = multiply(identity,identity),
inference(demodulation,[status(thm)],[d232,d0]) ).
cnf(d234,plain,
identity = identity,
inference(demodulation,[status(thm)],[d233,d135]) ).
cnf(d235,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(identity,a2) != a2 ),
inference(resolution,[status(thm)],[d234,d231]) ).
cnf(d236,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(resolution,[status(thm)],[d19,d235]) ).
cnf(d237,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)) ),
inference(demodulation,[status(thm)],[d236,d227]) ).
cnf(d238,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)) ),
inference(demodulation,[status(thm)],[d237,d227]) ).
cnf(d239,plain,
divide(X0,identity) = X0,
inference(superposition,[status(thm)],[d4,d8]) ).
cnf(d240,plain,
multiply(inverse(identity),X1) = divide(multiply(X0,X1),X0),
inference(superposition,[status(thm)],[d239,d41]) ).
cnf(d241,plain,
divide(X0,identity) = divide(multiply(X1,X0),X1),
inference(demodulation,[status(thm)],[d240,d27]) ).
cnf(d242,plain,
X0 = divide(multiply(X1,X0),X1),
inference(demodulation,[status(thm)],[d241,d9]) ).
cnf(d243,plain,
divide(inverse(X2),divide(inverse(X0),X1)) = divide(identity,divide(divide(X2,X0),X1)),
inference(superposition,[status(thm)],[c3,d72]) ).
cnf(d244,plain,
divide(inverse(X0),divide(inverse(X1),X2)) = inverse(divide(divide(X0,X1),X2)),
inference(demodulation,[status(thm)],[d243,c2]) ).
cnf(d245,plain,
divide(inverse(X0),divide(inverse(X1),X2)) = divide(X2,divide(X0,X1)),
inference(demodulation,[status(thm)],[d244,d57]) ).
cnf(d246,plain,
X1 = divide(X1,divide(X0,X0)),
inference(superposition,[status(thm)],[d219,d245]) ).
cnf(d247,plain,
X0 = multiply(divide(X0,X1),X1),
inference(demodulation,[status(thm)],[d246,d48]) ).
cnf(d248,plain,
X1 = divide(X0,divide(X0,X1)),
inference(superposition,[status(thm)],[d247,d242]) ).
cnf(d249,plain,
divide(inverse(inverse(inverse(divide(inverse(divide(X0,identity)),X1)))),X0) = X1,
inference(superposition,[status(thm)],[d8,d15]) ).
cnf(d250,plain,
divide(inverse(X0),inverse(inverse(divide(inverse(divide(X0,identity)),X1)))) = X1,
inference(demodulation,[status(thm)],[d249,d12]) ).
cnf(d251,plain,
multiply(inverse(X0),inverse(divide(inverse(divide(X0,identity)),X1))) = X1,
inference(demodulation,[status(thm)],[d250,d1]) ).
cnf(d252,plain,
divide(inverse(divide(inverse(divide(X0,identity)),X1)),X0) = X1,
inference(demodulation,[status(thm)],[d251,d27]) ).
cnf(d253,plain,
multiply(divide(X1,X0),inverse(inverse(divide(X0,identity)))) = X1,
inference(demodulation,[status(thm)],[d252,d30]) ).
cnf(d254,plain,
multiply(divide(X1,X0),divide(X0,identity)) = X1,
inference(demodulation,[status(thm)],[d253,d21]) ).
cnf(d255,plain,
multiply(divide(X1,X0),X0) = X1,
inference(demodulation,[status(thm)],[d254,d9]) ).
cnf(d256,plain,
multiply(X1,divide(X0,X1)) = X0,
inference(superposition,[status(thm)],[d219,d255]) ).
cnf(d257,plain,
divide(inverse(X1),identity) = multiply(X0,multiply(divide(X2,X1),divide(inverse(X2),X0))),
inference(superposition,[status(thm)],[d239,d97]) ).
cnf(d258,plain,
inverse(X0) = multiply(X1,multiply(divide(X2,X0),divide(inverse(X2),X1))),
inference(demodulation,[status(thm)],[d257,d9]) ).
cnf(d259,plain,
inverse(X1) = multiply(X2,divide(inverse(X2),X1)),
inference(demodulation,[status(thm)],[d258,d38]) ).
cnf(d260,plain,
divide(inverse(divide(X2,multiply(X0,divide(inverse(X0),X1)))),multiply(inverse(X2),divide(inverse(X1),X3))) = X3,
inference(superposition,[status(thm)],[d44,d114]) ).
cnf(d261,plain,
divide(divide(multiply(X1,divide(inverse(X1),X2)),X0),multiply(inverse(X0),divide(inverse(X2),X3))) = X3,
inference(demodulation,[status(thm)],[d260,d57]) ).
cnf(d262,plain,
divide(multiply(X0,divide(inverse(X0),X1)),multiply(X2,multiply(inverse(X2),divide(inverse(X1),X3)))) = X3,
inference(demodulation,[status(thm)],[d261,d69]) ).
cnf(d263,plain,
divide(inverse(X1),multiply(X2,multiply(inverse(X2),divide(inverse(X1),X3)))) = X3,
inference(demodulation,[status(thm)],[d262,d259]) ).
cnf(d264,plain,
divide(inverse(X1),multiply(X0,divide(divide(inverse(X1),X2),X0))) = X2,
inference(demodulation,[status(thm)],[d263,d27]) ).
cnf(d265,plain,
divide(inverse(X1),divide(inverse(X1),X2)) = X2,
inference(demodulation,[status(thm)],[d264,d256]) ).
cnf(d266,plain,
X1 = X1,
inference(demodulation,[status(thm)],[d265,d248]) ).
cnf(d267,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(resolution,[status(thm)],[d266,d238]) ).
cnf(d268,plain,
multiply(b3,multiply(c3,a3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm)],[d267,d212]) ).
cnf(d269,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm)],[d268,d212]) ).
cnf(d270,plain,
$false,
inference(resolution,[status(thm)],[d266,d269]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP093-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n002.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 14:24:34 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.20/6.89 % SZS status Unsatisfiable for theBenchmark.p
% 8.20/6.89 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------