%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP094-1 : 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 : n018.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 2.38s 8.67s
% Output : CNFRefutation 2.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 5
% Syntax : Number of clauses : 160 ( 149 unt; 0 nHn; 18 RR)
% Number of literals : 187 ( 186 equ; 39 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 8 ( 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 : 444 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(identity,divide(X0,X1)),divide(divide(X1,X2),X0)) = X2 ).
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(X0,X1)),divide(divide(X1,X2),X0)) = X2,
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,
divide(divide(identity,identity),divide(divide(X0,X1),X0)) = X1,
inference(superposition,[status(thm)],[c3,c0]) ).
cnf(d2,plain,
divide(inverse(identity),divide(divide(X0,X1),X0)) = X1,
inference(demodulation,[status(thm)],[d1,c2]) ).
cnf(d3,plain,
divide(identity,divide(divide(X0,X1),X0)) = X1,
inference(demodulation,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
inverse(divide(divide(X0,X1),X0)) = X1,
inference(demodulation,[status(thm)],[d3,c2]) ).
cnf(d5,plain,
divide(divide(identity,divide(divide(X0,X1),X0)),identity) = X1,
inference(superposition,[status(thm)],[c3,c0]) ).
cnf(d6,plain,
divide(inverse(divide(divide(X0,X1),X0)),identity) = X1,
inference(demodulation,[status(thm)],[d5,c2]) ).
cnf(d7,plain,
divide(X1,identity) = X1,
inference(demodulation,[status(thm)],[d6,d4]) ).
cnf(d8,plain,
multiply(X1,X0) = divide(X1,inverse(X0)),
inference(demodulation,[status(thm)],[c1,c2]) ).
cnf(d9,plain,
multiply(X0,identity) = divide(X0,identity),
inference(superposition,[status(thm)],[d0,d8]) ).
cnf(d10,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[d9,d7]) ).
cnf(d11,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c3,c2]) ).
cnf(d12,plain,
multiply(X0,identity) = divide(X0,identity),
inference(superposition,[status(thm)],[d11,d8]) ).
cnf(d13,plain,
X0 = divide(X0,identity),
inference(demodulation,[status(thm)],[d12,d10]) ).
cnf(d14,plain,
inverse(divide(identity,X0)) = X0,
inference(superposition,[status(thm)],[c3,d4]) ).
cnf(d15,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[d14,c2]) ).
cnf(d16,plain,
multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c2,d8]) ).
cnf(d17,plain,
multiply(identity,X0) = X0,
inference(demodulation,[status(thm)],[d16,d15]) ).
cnf(d18,plain,
divide(divide(identity,X2),divide(divide(divide(divide(X1,X2),X0),X3),divide(identity,divide(X0,X1)))) = X3,
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d19,plain,
divide(inverse(X0),divide(divide(divide(divide(X1,X0),X2),X3),divide(identity,divide(X2,X1)))) = X3,
inference(demodulation,[status(thm)],[d18,c2]) ).
cnf(d20,plain,
divide(inverse(X2),divide(divide(divide(divide(X1,X2),X0),X3),inverse(divide(X0,X1)))) = X3,
inference(demodulation,[status(thm)],[d19,c2]) ).
cnf(d21,plain,
divide(inverse(X1),multiply(divide(divide(divide(X0,X1),X2),X3),divide(X2,X0))) = X3,
inference(demodulation,[status(thm)],[d20,d8]) ).
cnf(d22,plain,
divide(inverse(X1),multiply(identity,divide(X2,X0))) = divide(divide(X0,X1),X2),
inference(superposition,[status(thm)],[c3,d21]) ).
cnf(d23,plain,
divide(inverse(X2),divide(X0,X1)) = divide(divide(X1,X2),X0),
inference(demodulation,[status(thm)],[d22,d17]) ).
cnf(d24,plain,
divide(divide(identity,divide(X3,divide(identity,divide(X0,X1)))),divide(X2,X3)) = divide(divide(X1,X2),X0),
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d25,plain,
divide(inverse(divide(X0,divide(identity,divide(X1,X2)))),divide(X3,X0)) = divide(divide(X2,X3),X1),
inference(demodulation,[status(thm)],[d24,c2]) ).
cnf(d26,plain,
divide(inverse(divide(X2,inverse(divide(X0,X1)))),divide(X3,X2)) = divide(divide(X1,X3),X0),
inference(demodulation,[status(thm)],[d25,c2]) ).
cnf(d27,plain,
divide(inverse(multiply(X0,divide(X1,X2))),divide(X3,X0)) = divide(divide(X2,X3),X1),
inference(demodulation,[status(thm)],[d26,d8]) ).
cnf(d28,plain,
multiply(inverse(X0),X0) = identity,
inference(superposition,[status(thm)],[c3,d8]) ).
cnf(d29,plain,
divide(inverse(identity),divide(X2,inverse(divide(X0,X1)))) = divide(divide(X1,X2),X0),
inference(superposition,[status(thm)],[d28,d27]) ).
cnf(d30,plain,
divide(divide(inverse(divide(X1,X2)),identity),X0) = divide(divide(X2,X0),X1),
inference(demodulation,[status(thm)],[d29,d23]) ).
cnf(d31,plain,
divide(inverse(divide(X0,X1)),X2) = divide(divide(X1,X2),X0),
inference(demodulation,[status(thm)],[d30,d13]) ).
cnf(d32,plain,
divide(divide(identity,divide(divide(divide(X1,X2),X0),identity)),X2) = divide(X0,X1),
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d33,plain,
divide(inverse(divide(divide(divide(X0,X1),X2),identity)),X1) = divide(X2,X0),
inference(demodulation,[status(thm)],[d32,c2]) ).
cnf(d34,plain,
divide(inverse(divide(divide(divide(X2,X0),X3),identity)),X1) = divide(X3,inverse(divide(divide(divide(X0,X1),X2),identity))),
inference(superposition,[status(thm)],[d33,d33]) ).
cnf(d35,plain,
divide(inverse(divide(divide(X0,X1),X2)),X3) = divide(X2,inverse(divide(divide(divide(X1,X3),X0),identity))),
inference(demodulation,[status(thm)],[d34,d13]) ).
cnf(d36,plain,
divide(inverse(divide(divide(X3,X1),X0)),X2) = multiply(X0,divide(divide(divide(X1,X2),X3),identity)),
inference(demodulation,[status(thm)],[d35,d8]) ).
cnf(d37,plain,
divide(inverse(divide(divide(X2,X0),X3)),X1) = multiply(X3,divide(divide(X0,X1),X2)),
inference(demodulation,[status(thm)],[d36,d13]) ).
cnf(d38,plain,
divide(inverse(divide(inverse(X0),X1)),X2) = multiply(X1,divide(divide(X0,X2),identity)),
inference(superposition,[status(thm)],[c2,d37]) ).
cnf(d39,plain,
divide(divide(X1,X2),inverse(X0)) = multiply(X1,divide(divide(X0,X2),identity)),
inference(demodulation,[status(thm)],[d38,d31]) ).
cnf(d40,plain,
multiply(divide(X0,X1),X2) = multiply(X0,divide(divide(X2,X1),identity)),
inference(demodulation,[status(thm)],[d39,d8]) ).
cnf(d41,plain,
multiply(divide(X2,X1),X0) = multiply(X2,divide(X0,X1)),
inference(demodulation,[status(thm)],[d40,d13]) ).
cnf(d42,plain,
multiply(inverse(divide(divide(divide(X0,inverse(X1)),X2),identity)),X1) = divide(X2,X0),
inference(superposition,[status(thm)],[d33,d8]) ).
cnf(d43,plain,
multiply(inverse(divide(divide(X0,inverse(X1)),X2)),X1) = divide(X2,X0),
inference(demodulation,[status(thm)],[d42,d13]) ).
cnf(d44,plain,
multiply(inverse(divide(multiply(X0,X1),X2)),X1) = divide(X2,X0),
inference(demodulation,[status(thm)],[d43,d8]) ).
cnf(d45,plain,
divide(X1,X0) = inverse(divide(multiply(X0,identity),X1)),
inference(superposition,[status(thm)],[d44,d10]) ).
cnf(d46,plain,
divide(X1,X0) = inverse(divide(X0,X1)),
inference(demodulation,[status(thm)],[d45,d10]) ).
cnf(d47,plain,
divide(inverse(divide(divide(identity,X1),identity)),X0) = divide(X1,X0),
inference(superposition,[status(thm)],[c3,d33]) ).
cnf(d48,plain,
multiply(identity,divide(divide(X0,X1),identity)) = divide(X0,X1),
inference(demodulation,[status(thm)],[d47,d37]) ).
cnf(d49,plain,
multiply(identity,divide(X0,X1)) = divide(X0,X1),
inference(demodulation,[status(thm)],[d48,d13]) ).
cnf(d50,plain,
divide(inverse(divide(divide(multiply(X0,X1),X2),identity)),inverse(X1)) = divide(X2,X0),
inference(superposition,[status(thm)],[d8,d33]) ).
cnf(d51,plain,
multiply(identity,divide(divide(X2,inverse(X1)),multiply(X0,X1))) = divide(X2,X0),
inference(demodulation,[status(thm)],[d50,d37]) ).
cnf(d52,plain,
divide(divide(X0,inverse(X1)),multiply(X2,X1)) = divide(X0,X2),
inference(demodulation,[status(thm)],[d51,d49]) ).
cnf(d53,plain,
divide(multiply(X0,X1),multiply(X2,X1)) = divide(X0,X2),
inference(demodulation,[status(thm)],[d52,d8]) ).
cnf(d54,plain,
multiply(inverse(divide(X0,X2)),X1) = divide(multiply(X2,X1),X0),
inference(superposition,[status(thm)],[d53,d44]) ).
cnf(d55,plain,
multiply(divide(X1,X0),X2) = divide(multiply(X1,X2),X0),
inference(demodulation,[status(thm)],[d54,d46]) ).
cnf(d56,plain,
multiply(X0,divide(X2,X1)) = divide(multiply(X0,X2),X1),
inference(demodulation,[status(thm)],[d55,d41]) ).
cnf(d57,plain,
divide(inverse(divide(divide(inverse(X0),X1),identity)),X0) = divide(X1,identity),
inference(superposition,[status(thm)],[c2,d33]) ).
cnf(d58,plain,
multiply(identity,divide(divide(X1,X0),inverse(X0))) = divide(X1,identity),
inference(demodulation,[status(thm)],[d57,d37]) ).
cnf(d59,plain,
divide(divide(X0,X1),inverse(X1)) = divide(X0,identity),
inference(demodulation,[status(thm)],[d58,d17]) ).
cnf(d60,plain,
multiply(divide(X0,X1),X1) = divide(X0,identity),
inference(demodulation,[status(thm)],[d59,d8]) ).
cnf(d61,plain,
multiply(divide(X0,X1),X1) = X0,
inference(demodulation,[status(thm)],[d60,d13]) ).
cnf(d62,plain,
divide(multiply(X2,X1),X0) = divide(X2,divide(X0,X1)),
inference(superposition,[status(thm)],[d61,d53]) ).
cnf(d63,plain,
multiply(X0,divide(X1,X2)) = divide(X0,divide(X2,X1)),
inference(demodulation,[status(thm)],[d62,d56]) ).
cnf(d64,plain,
divide(inverse(divide(identity,identity)),X1) = divide(divide(X0,X1),X0),
inference(superposition,[status(thm)],[c3,d33]) ).
cnf(d65,plain,
divide(inverse(inverse(identity)),X0) = divide(divide(X1,X0),X1),
inference(demodulation,[status(thm)],[d64,c2]) ).
cnf(d66,plain,
divide(identity,X0) = divide(divide(X1,X0),X1),
inference(demodulation,[status(thm)],[d65,d15]) ).
cnf(d67,plain,
inverse(X0) = divide(divide(X1,X0),X1),
inference(demodulation,[status(thm)],[d66,c2]) ).
cnf(d68,plain,
multiply(X2,divide(divide(X0,X1),X0)) = divide(X2,X1),
inference(superposition,[status(thm)],[d4,d8]) ).
cnf(d69,plain,
multiply(X2,inverse(X1)) = divide(X2,X1),
inference(demodulation,[status(thm)],[d68,d67]) ).
cnf(d70,plain,
divide(divide(identity,divide(X1,X0)),divide(identity,X1)) = X0,
inference(superposition,[status(thm)],[c3,c0]) ).
cnf(d71,plain,
divide(inverse(divide(X0,X1)),divide(identity,X0)) = X1,
inference(demodulation,[status(thm)],[d70,c2]) ).
cnf(d72,plain,
divide(inverse(divide(X0,X1)),inverse(X0)) = X1,
inference(demodulation,[status(thm)],[d71,c2]) ).
cnf(d73,plain,
multiply(inverse(divide(X0,X1)),X0) = X1,
inference(demodulation,[status(thm)],[d72,d8]) ).
cnf(d74,plain,
divide(X1,multiply(X2,X0)) = divide(inverse(divide(X0,X1)),X2),
inference(superposition,[status(thm)],[d73,d53]) ).
cnf(d75,plain,
divide(X1,multiply(X2,X0)) = divide(divide(X1,X0),X2),
inference(demodulation,[status(thm)],[d74,d46]) ).
cnf(d76,plain,
divide(inverse(multiply(X4,divide(divide(X2,X3),X1))),divide(X5,X4)) = divide(divide(divide(X3,X0),X5),inverse(multiply(X0,divide(X1,X2)))),
inference(superposition,[status(thm)],[d27,d27]) ).
cnf(d77,plain,
divide(divide(X3,X4),divide(X1,X2)) = divide(divide(divide(X2,X5),X4),inverse(multiply(X5,divide(X3,X1)))),
inference(demodulation,[status(thm)],[d76,d27]) ).
cnf(d78,plain,
divide(divide(X3,X2),divide(X4,X0)) = multiply(divide(divide(X0,X1),X2),multiply(X1,divide(X3,X4))),
inference(demodulation,[status(thm)],[d77,d8]) ).
cnf(d79,plain,
divide(divide(X1,X2),divide(X3,X0)) = multiply(divide(identity,X2),multiply(X0,divide(X1,X3))),
inference(superposition,[status(thm)],[c3,d78]) ).
cnf(d80,plain,
divide(X0,multiply(divide(X2,X3),X1)) = multiply(divide(identity,X1),multiply(X3,divide(X0,X2))),
inference(demodulation,[status(thm)],[d79,d75]) ).
cnf(d81,plain,
divide(X3,multiply(X0,divide(X2,X1))) = multiply(divide(identity,X2),multiply(X1,divide(X3,X0))),
inference(demodulation,[status(thm)],[d80,d41]) ).
cnf(d82,plain,
divide(X2,multiply(X3,divide(X0,X1))) = multiply(identity,divide(multiply(X1,divide(X2,X3)),X0)),
inference(demodulation,[status(thm)],[d81,d41]) ).
cnf(d83,plain,
divide(X1,multiply(X2,divide(X3,X0))) = divide(multiply(X0,divide(X1,X2)),X3),
inference(demodulation,[status(thm)],[d82,d17]) ).
cnf(d84,plain,
divide(X1,multiply(X2,divide(X3,X0))) = multiply(X0,divide(divide(X1,X2),X3)),
inference(demodulation,[status(thm)],[d83,d56]) ).
cnf(d85,plain,
divide(X0,multiply(X1,divide(X2,X3))) = multiply(X3,divide(X0,multiply(X2,X1))),
inference(demodulation,[status(thm)],[d84,d75]) ).
cnf(d86,plain,
divide(inverse(divide(divide(divide(divide(X2,X3),X1),X4),identity)),divide(X3,X0)) = divide(X4,inverse(multiply(X0,divide(X1,X2)))),
inference(superposition,[status(thm)],[d27,d33]) ).
cnf(d87,plain,
multiply(identity,divide(divide(X3,divide(X1,X4)),divide(divide(X0,X1),X2))) = divide(X3,inverse(multiply(X4,divide(X2,X0)))),
inference(demodulation,[status(thm)],[d86,d37]) ).
cnf(d88,plain,
divide(divide(X0,divide(X1,X2)),divide(divide(X3,X1),X4)) = divide(X0,inverse(multiply(X2,divide(X4,X3)))),
inference(demodulation,[status(thm)],[d87,d17]) ).
cnf(d89,plain,
divide(divide(X0,divide(X4,X1)),divide(divide(X3,X4),X2)) = multiply(X0,multiply(X1,divide(X2,X3))),
inference(demodulation,[status(thm)],[d88,d8]) ).
cnf(d90,plain,
divide(divide(X2,divide(X1,X3)),inverse(X1)) = multiply(X2,multiply(X3,divide(X0,X0))),
inference(superposition,[status(thm)],[d67,d89]) ).
cnf(d91,plain,
divide(X0,multiply(inverse(X1),divide(X1,X2))) = multiply(X0,multiply(X2,divide(X3,X3))),
inference(demodulation,[status(thm)],[d90,d75]) ).
cnf(d92,plain,
multiply(X2,divide(X0,multiply(X1,inverse(X1)))) = multiply(X0,multiply(X2,divide(X3,X3))),
inference(demodulation,[status(thm)],[d91,d85]) ).
cnf(d93,plain,
multiply(X1,divide(X2,divide(X0,X0))) = multiply(X2,multiply(X1,divide(X3,X3))),
inference(demodulation,[status(thm)],[d92,d69]) ).
cnf(d94,plain,
multiply(X2,multiply(X0,divide(X1,X1))) = multiply(X0,multiply(X2,divide(X3,X3))),
inference(demodulation,[status(thm)],[d93,d63]) ).
cnf(d95,plain,
multiply(X1,multiply(X2,identity)) = multiply(X2,multiply(X1,divide(X3,X3))),
inference(demodulation,[status(thm)],[d94,c3]) ).
cnf(d96,plain,
multiply(X1,X0) = multiply(X0,multiply(X1,divide(X2,X2))),
inference(demodulation,[status(thm)],[d95,d10]) ).
cnf(d97,plain,
multiply(X1,X2) = multiply(X2,multiply(X1,identity)),
inference(demodulation,[status(thm)],[d96,c3]) ).
cnf(d98,plain,
multiply(X0,X1) = multiply(X1,X0),
inference(demodulation,[status(thm)],[d97,d10]) ).
cnf(d99,plain,
divide(divide(X0,X1),divide(identity,X2)) = multiply(divide(divide(X2,X3),X1),multiply(X3,X0)),
inference(superposition,[status(thm)],[d7,d78]) ).
cnf(d100,plain,
divide(X0,multiply(divide(identity,X2),X1)) = multiply(divide(divide(X2,X3),X1),multiply(X3,X0)),
inference(demodulation,[status(thm)],[d99,d75]) ).
cnf(d101,plain,
divide(X2,multiply(identity,divide(X1,X0))) = multiply(divide(divide(X0,X3),X1),multiply(X3,X2)),
inference(demodulation,[status(thm)],[d100,d41]) ).
cnf(d102,plain,
multiply(X2,divide(X0,multiply(X1,identity))) = multiply(divide(divide(X2,X3),X1),multiply(X3,X0)),
inference(demodulation,[status(thm)],[d101,d85]) ).
cnf(d103,plain,
multiply(X1,divide(X2,X0)) = multiply(divide(divide(X1,X3),X0),multiply(X3,X2)),
inference(demodulation,[status(thm)],[d102,d10]) ).
cnf(d104,plain,
multiply(X0,divide(X3,X2)) = multiply(divide(X0,X1),divide(multiply(X1,X3),X2)),
inference(demodulation,[status(thm)],[d103,d41]) ).
cnf(d105,plain,
multiply(X0,divide(X2,X3)) = multiply(X0,divide(divide(multiply(X1,X2),X3),X1)),
inference(demodulation,[status(thm)],[d104,d41]) ).
cnf(d106,plain,
multiply(X3,divide(X1,X2)) = multiply(X3,divide(multiply(X0,X1),multiply(X0,X2))),
inference(demodulation,[status(thm)],[d105,d75]) ).
cnf(d107,plain,
multiply(X3,divide(X1,X2)) = multiply(X3,multiply(X0,divide(X1,multiply(X0,X2)))),
inference(demodulation,[status(thm)],[d106,d56]) ).
cnf(d108,plain,
multiply(inverse(X1),X0) = divide(X0,X1),
inference(superposition,[status(thm)],[d67,d61]) ).
cnf(d109,plain,
divide(inverse(X2),divide(divide(X3,X0),X4)) = multiply(divide(divide(X0,X1),X2),multiply(X1,divide(X4,X3))),
inference(superposition,[status(thm)],[d67,d89]) ).
cnf(d110,plain,
multiply(inverse(X0),divide(X3,divide(X1,X2))) = multiply(divide(divide(X2,X4),X0),multiply(X4,divide(X3,X1))),
inference(demodulation,[status(thm)],[d109,d63]) ).
cnf(d111,plain,
divide(divide(X1,divide(X2,X3)),X0) = multiply(divide(divide(X3,X4),X0),multiply(X4,divide(X1,X2))),
inference(demodulation,[status(thm)],[d110,d108]) ).
cnf(d112,plain,
divide(X0,multiply(X3,divide(X1,X2))) = multiply(divide(divide(X2,X4),X3),multiply(X4,divide(X0,X1))),
inference(demodulation,[status(thm)],[d111,d75]) ).
cnf(d113,plain,
multiply(X3,divide(X0,multiply(X2,X1))) = multiply(divide(divide(X3,X4),X1),multiply(X4,divide(X0,X2))),
inference(demodulation,[status(thm)],[d112,d85]) ).
cnf(d114,plain,
multiply(X0,divide(X3,multiply(X4,X2))) = multiply(divide(X0,X1),divide(multiply(X1,divide(X3,X4)),X2)),
inference(demodulation,[status(thm)],[d113,d41]) ).
cnf(d115,plain,
multiply(X0,divide(X2,multiply(X3,X4))) = multiply(X0,divide(divide(multiply(X1,divide(X2,X3)),X4),X1)),
inference(demodulation,[status(thm)],[d114,d41]) ).
cnf(d116,plain,
multiply(X4,divide(X1,multiply(X2,X3))) = multiply(X4,divide(multiply(X0,divide(X1,X2)),multiply(X0,X3))),
inference(demodulation,[status(thm)],[d115,d75]) ).
cnf(d117,plain,
multiply(X4,divide(X1,multiply(X2,X3))) = multiply(X4,multiply(X0,divide(divide(X1,X2),multiply(X0,X3)))),
inference(demodulation,[status(thm)],[d116,d56]) ).
cnf(d118,plain,
multiply(X0,divide(X2,multiply(X3,X4))) = multiply(X0,divide(divide(X2,X3),X4)),
inference(demodulation,[status(thm)],[d117,d107]) ).
cnf(d119,plain,
multiply(X3,divide(X0,multiply(X1,X2))) = multiply(X3,divide(X0,multiply(X2,X1))),
inference(demodulation,[status(thm)],[d118,d75]) ).
cnf(d120,plain,
divide(divide(X1,divide(X0,X2)),divide(inverse(X0),X3)) = multiply(X1,multiply(X2,divide(X3,identity))),
inference(superposition,[status(thm)],[c2,d89]) ).
cnf(d121,plain,
divide(X0,multiply(divide(inverse(X1),X3),divide(X1,X2))) = multiply(X0,multiply(X2,divide(X3,identity))),
inference(demodulation,[status(thm)],[d120,d75]) ).
cnf(d122,plain,
multiply(X3,divide(X0,multiply(X1,divide(inverse(X1),X2)))) = multiply(X0,multiply(X3,divide(X2,identity))),
inference(demodulation,[status(thm)],[d121,d85]) ).
cnf(d123,plain,
multiply(X3,multiply(X2,divide(X0,multiply(inverse(X1),X1)))) = multiply(X0,multiply(X3,divide(X2,identity))),
inference(demodulation,[status(thm)],[d122,d85]) ).
cnf(d124,plain,
multiply(X3,multiply(X0,divide(X1,multiply(X2,inverse(X2))))) = multiply(X1,multiply(X3,divide(X0,identity))),
inference(demodulation,[status(thm)],[d123,d119]) ).
cnf(d125,plain,
multiply(X1,multiply(X2,divide(X3,divide(X0,X0)))) = multiply(X3,multiply(X1,divide(X2,identity))),
inference(demodulation,[status(thm)],[d124,d69]) ).
cnf(d126,plain,
multiply(X2,multiply(X3,multiply(X0,divide(X1,X1)))) = multiply(X0,multiply(X2,divide(X3,identity))),
inference(demodulation,[status(thm)],[d125,d63]) ).
cnf(d127,plain,
multiply(X1,multiply(X2,multiply(X3,identity))) = multiply(X3,multiply(X1,divide(X2,identity))),
inference(demodulation,[status(thm)],[d126,c3]) ).
cnf(d128,plain,
multiply(X1,multiply(X2,X0)) = multiply(X0,multiply(X1,divide(X2,identity))),
inference(demodulation,[status(thm)],[d127,d10]) ).
cnf(d129,plain,
multiply(X1,multiply(X0,X2)) = multiply(X2,multiply(X1,X0)),
inference(demodulation,[status(thm)],[d128,d13]) ).
cnf(d130,plain,
identity = multiply(inverse(X0),X0),
inference(superposition,[status(thm)],[d8,c3]) ).
cnf(d131,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,d130]) ).
cnf(d132,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)],[d131,d130]) ).
cnf(d133,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)],[d132,d130]) ).
cnf(d134,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != a2
| identity != identity ),
inference(demodulation,[status(thm)],[d133,d17]) ).
cnf(d135,plain,
inverse(inverse(X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[d8,c2]) ).
cnf(d136,plain,
inverse(identity) = multiply(identity,identity),
inference(superposition,[status(thm)],[d11,d135]) ).
cnf(d137,plain,
identity = multiply(identity,identity),
inference(demodulation,[status(thm)],[d136,d0]) ).
cnf(d138,plain,
identity = identity,
inference(demodulation,[status(thm)],[d137,d17]) ).
cnf(d139,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != a2 ),
inference(resolution,[status(thm)],[d138,d134]) ).
cnf(d140,plain,
( a2 != a2
| multiply(a4,b4) != multiply(b4,a4)
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)) ),
inference(demodulation,[status(thm)],[d139,d98]) ).
cnf(d141,plain,
( a2 != a2
| multiply(a4,b4) != multiply(b4,a4)
| multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)) ),
inference(demodulation,[status(thm)],[d140,d129]) ).
cnf(d142,plain,
( a2 != a2
| multiply(a4,b4) != multiply(a4,b4)
| multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)) ),
inference(demodulation,[status(thm)],[d141,d98]) ).
cnf(d143,plain,
divide(inverse(X4),multiply(divide(divide(divide(divide(X3,X0),X4),inverse(multiply(X0,divide(X1,X2)))),X5),divide(divide(X2,X3),X1))) = X5,
inference(superposition,[status(thm)],[d27,d21]) ).
cnf(d144,plain,
divide(inverse(X2),multiply(divide(multiply(divide(divide(X0,X1),X2),multiply(X1,divide(X3,X4))),X5),divide(divide(X4,X0),X3))) = X5,
inference(demodulation,[status(thm)],[d143,d8]) ).
cnf(d145,plain,
divide(inverse(X2),multiply(divide(divide(divide(X3,X2),divide(X4,X0)),X5),divide(divide(X4,X0),X3))) = X5,
inference(demodulation,[status(thm)],[d144,d78]) ).
cnf(d146,plain,
X4 = X4,
inference(demodulation,[status(thm)],[d145,d21]) ).
cnf(d147,plain,
( a2 != a2
| multiply(a4,b4) != multiply(a4,b4) ),
inference(resolution,[status(thm)],[d146,d142]) ).
cnf(d148,plain,
a2 != a2,
inference(equality_resolution,[status(thm)],[d147]) ).
cnf(d149,plain,
$false,
inference(resolution,[status(thm)],[d146,d148]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP094-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n018.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 14:23:50 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.38/8.67 % SZS status Unsatisfiable for theBenchmark.p
% 2.38/8.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------