%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP121-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 07:22:22 AM UTC 2026
% Result : Unsatisfiable 151.44s 22.44s
% Output : CNFRefutation 151.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 88
% Number of leaves : 3
% Syntax : Number of clauses : 206 ( 206 unt; 0 nHn; 7 RR)
% Number of literals : 206 ( 205 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 332 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,X2))),multiply(X2,multiply(X2,X2)))) = X1 ).
cnf(single_axiom2,axiom,
multiply(identity,identity) = identity ).
cnf(prove_order3,negated_conjecture,
multiply(a,identity) != a ).
cnf(c0,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,X2))),multiply(X2,multiply(X2,X2)))) = X1,
inference(clausification,[status(esa)],[single_axiom]) ).
cnf(c1,plain,
multiply(identity,identity) = identity,
inference(clausification,[status(esa)],[single_axiom2]) ).
cnf(c2,plain,
multiply(a,identity) != a,
inference(clausification,[status(esa)],[prove_order3]) ).
cnf(d0,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,X1))),multiply(X1,multiply(X1,X1)))) = X0,
inference(superposition,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,identity))),multiply(identity,identity))) = X0,
inference(superposition,[status(thm)],[c1,d0]) ).
cnf(d2,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,identity))),identity)) = X0,
inference(demodulation,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
multiply(identity,multiply(multiply(identity,X0),identity)) = multiply(identity,multiply(identity,multiply(X0,identity))),
inference(superposition,[status(thm)],[d2,d2]) ).
cnf(d4,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,identity))),multiply(identity,identity))) = X1,
inference(superposition,[status(thm)],[c1,c0]) ).
cnf(d5,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,identity))),identity)) = X1,
inference(demodulation,[status(thm)],[d4,c1]) ).
cnf(d6,plain,
X0 = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,identity),multiply(X0,identity)),identity))),
inference(superposition,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
X0 = multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity))),
inference(demodulation,[status(thm)],[d6,c1]) ).
cnf(d8,plain,
X0 = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))),
inference(demodulation,[status(thm)],[d7,d3]) ).
cnf(d9,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity))) = X0,
inference(demodulation,[status(thm)],[d2,d3]) ).
cnf(d10,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))) = X0,
inference(demodulation,[status(thm)],[d9,d3]) ).
cnf(d11,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,identity))),identity)) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity))),
inference(superposition,[status(thm)],[d3,d3]) ).
cnf(d12,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity))) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity))),
inference(demodulation,[status(thm)],[d11,d3]) ).
cnf(d13,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity))),
inference(demodulation,[status(thm)],[d12,d3]) ).
cnf(d14,plain,
X0 = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity))),
inference(demodulation,[status(thm)],[d13,d10]) ).
cnf(d15,plain,
multiply(identity,multiply(X0,multiply(identity,multiply(identity,identity)))) = multiply(multiply(identity,X0),identity),
inference(superposition,[status(thm)],[d14,d0]) ).
cnf(d16,plain,
multiply(identity,multiply(X0,multiply(identity,identity))) = multiply(multiply(identity,X0),identity),
inference(demodulation,[status(thm)],[d15,c1]) ).
cnf(d17,plain,
multiply(identity,multiply(X0,identity)) = multiply(multiply(identity,X0),identity),
inference(demodulation,[status(thm)],[d16,c1]) ).
cnf(d18,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),multiply(identity,multiply(identity,identity)))) = multiply(identity,X0),
inference(superposition,[status(thm)],[d3,d0]) ).
cnf(d19,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),multiply(identity,identity))) = multiply(identity,X0),
inference(demodulation,[status(thm)],[d18,c1]) ).
cnf(d20,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),identity)) = multiply(identity,X0),
inference(demodulation,[status(thm)],[d19,c1]) ).
cnf(d21,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,identity))),identity))) = multiply(identity,X0),
inference(demodulation,[status(thm)],[d20,d3]) ).
cnf(d22,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity)))) = multiply(identity,X0),
inference(demodulation,[status(thm)],[d21,d3]) ).
cnf(d23,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))))) = multiply(identity,X0),
inference(demodulation,[status(thm)],[d22,d3]) ).
cnf(d24,plain,
multiply(identity,X0) = multiply(identity,X0),
inference(demodulation,[status(thm)],[d23,d10]) ).
cnf(d25,plain,
multiply(identity,multiply(identity,multiply(X0,identity))) = multiply(identity,multiply(multiply(identity,X0),identity)),
inference(superposition,[status(thm)],[d3,d24]) ).
cnf(d26,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity)),identity))) = multiply(identity,multiply(X0,identity)),
inference(superposition,[status(thm)],[d14,d25]) ).
cnf(d27,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(identity,X0),identity),identity),identity)))) = multiply(identity,multiply(X0,identity)),
inference(demodulation,[status(thm)],[d26,d17]) ).
cnf(d28,plain,
multiply(multiply(identity,X0),identity) = multiply(identity,multiply(X0,identity)),
inference(demodulation,[status(thm)],[d27,d10]) ).
cnf(d29,plain,
multiply(X0,multiply(multiply(X0,X1),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2)))))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,X2))),
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d30,plain,
multiply(multiply(identity,identity),multiply(multiply(multiply(identity,identity),multiply(identity,identity)),multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1))) = X0,
inference(superposition,[status(thm)],[d29,d0]) ).
cnf(d31,plain,
multiply(identity,multiply(multiply(multiply(identity,identity),multiply(identity,identity)),multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1))) = X0,
inference(demodulation,[status(thm)],[d30,c1]) ).
cnf(d32,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,identity)),multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1))) = X0,
inference(demodulation,[status(thm)],[d31,c1]) ).
cnf(d33,plain,
multiply(identity,multiply(multiply(identity,identity),multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1))) = X0,
inference(demodulation,[status(thm)],[d32,c1]) ).
cnf(d34,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1))) = X0,
inference(demodulation,[status(thm)],[d33,c1]) ).
cnf(d35,plain,
multiply(X0,identity) = multiply(identity,multiply(multiply(identity,multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1)),identity)),
inference(superposition,[status(thm)],[d34,d28]) ).
cnf(d36,plain,
multiply(X0,identity) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1),identity))),
inference(demodulation,[status(thm)],[d35,d17]) ).
cnf(d37,plain,
multiply(multiply(X0,identity),identity) = multiply(identity,multiply(multiply(identity,multiply(multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1),identity)),identity)),
inference(superposition,[status(thm)],[d36,d28]) ).
cnf(d38,plain,
multiply(multiply(X0,identity),identity) = multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1),identity),identity))),
inference(demodulation,[status(thm)],[d37,d17]) ).
cnf(d39,plain,
multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1) = multiply(identity,multiply(multiply(X0,identity),identity)),
inference(superposition,[status(thm)],[d38,d8]) ).
cnf(d40,plain,
multiply(X0,multiply(multiply(X0,X1),identity)) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,identity))),
inference(superposition,[status(thm)],[d5,d5]) ).
cnf(d41,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),identity)),identity)) = X1,
inference(superposition,[status(thm)],[d40,d5]) ).
cnf(d42,plain,
multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(identity,multiply(X0,identity)))),identity)) = multiply(identity,X0),
inference(superposition,[status(thm)],[d17,d5]) ).
cnf(d43,plain,
multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),X0)),identity)) = multiply(identity,multiply(identity,multiply(multiply(identity,identity),multiply(X0,identity)))),
inference(superposition,[status(thm)],[d5,d42]) ).
cnf(d44,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),X1)),identity)) = multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))),
inference(demodulation,[status(thm)],[d43,c1]) ).
cnf(d45,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))),identity)),identity)) = multiply(multiply(X0,multiply(multiply(X0,X0),X1)),identity),
inference(superposition,[status(thm)],[d44,d41]) ).
cnf(d46,plain,
multiply(multiply(X1,X1),multiply(multiply(X1,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,identity))),identity))),identity)) = multiply(multiply(X1,multiply(multiply(X1,X1),X0)),identity),
inference(demodulation,[status(thm)],[d45,d17]) ).
cnf(d47,plain,
multiply(multiply(X1,X1),multiply(multiply(X1,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity)))),identity)) = multiply(multiply(X1,multiply(multiply(X1,X1),X0)),identity),
inference(demodulation,[status(thm)],[d46,d17]) ).
cnf(d48,plain,
multiply(multiply(X1,X1),multiply(multiply(X1,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))))),identity)) = multiply(multiply(X1,multiply(multiply(X1,X1),X0)),identity),
inference(demodulation,[status(thm)],[d47,d17]) ).
cnf(d49,plain,
multiply(multiply(X1,X1),multiply(multiply(X1,X0),identity)) = multiply(multiply(X1,multiply(multiply(X1,X1),X0)),identity),
inference(demodulation,[status(thm)],[d48,d10]) ).
cnf(d50,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity)),identity)))) = multiply(X0,multiply(multiply(X0,X0),X1)),
inference(superposition,[status(thm)],[d49,d10]) ).
cnf(d51,plain,
multiply(identity,multiply(multiply(X0,identity),identity)) = multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1),
inference(superposition,[status(thm)],[d38,d10]) ).
cnf(d52,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X1,identity)),identity)) = multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,X2))),multiply(X2,multiply(X2,X2))),
inference(superposition,[status(thm)],[c0,d41]) ).
cnf(d53,plain,
multiply(identity,multiply(multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,X2))),identity),identity)) = multiply(multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X1,identity)),identity))),X2),
inference(superposition,[status(thm)],[d52,d51]) ).
cnf(d54,plain,
multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X1,X2)),identity)),identity)) = multiply(multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X1,identity)),identity))),X2),
inference(demodulation,[status(thm)],[d53,d49]) ).
cnf(d55,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X1,identity)),identity)) = multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,identity))),identity),
inference(superposition,[status(thm)],[d5,d41]) ).
cnf(d56,plain,
multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X1,identity)),identity))) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity)))),
inference(superposition,[status(thm)],[d55,d44]) ).
cnf(d57,plain,
multiply(X1,multiply(multiply(X1,X1),multiply(multiply(X1,multiply(X0,identity)),identity))) = X0,
inference(demodulation,[status(thm)],[d56,d10]) ).
cnf(d58,plain,
multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,identity))) = multiply(X0,multiply(multiply(X0,X1),identity)),
inference(superposition,[status(thm)],[d41,d57]) ).
cnf(d59,plain,
multiply(X1,multiply(multiply(X1,X1),multiply(multiply(X1,multiply(identity,multiply(X0,identity))),identity))) = multiply(identity,X0),
inference(superposition,[status(thm)],[d28,d57]) ).
cnf(d60,plain,
multiply(X1,multiply(multiply(X1,X1),multiply(multiply(X1,multiply(identity,multiply(identity,multiply(X0,identity)))),identity))) = multiply(identity,multiply(identity,X0)),
inference(superposition,[status(thm)],[d28,d59]) ).
cnf(d61,plain,
multiply(X1,multiply(multiply(X1,X1),multiply(multiply(X1,X0),identity))) = multiply(identity,multiply(identity,multiply(identity,multiply(X0,multiply(identity,multiply(identity,identity)))))),
inference(superposition,[status(thm)],[d34,d60]) ).
cnf(d62,plain,
multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity))) = multiply(identity,multiply(identity,multiply(identity,multiply(X1,multiply(identity,identity))))),
inference(demodulation,[status(thm)],[d61,c1]) ).
cnf(d63,plain,
multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity))) = multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))),
inference(demodulation,[status(thm)],[d62,c1]) ).
cnf(d64,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))) = multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),X1)),identity)),
inference(superposition,[status(thm)],[d63,d58]) ).
cnf(d65,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity)))) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),identity)),identity)),
inference(superposition,[status(thm)],[d58,d64]) ).
cnf(d66,plain,
X0 = multiply(multiply(X1,X1),multiply(multiply(X1,multiply(multiply(X1,X0),identity)),identity)),
inference(demodulation,[status(thm)],[d65,d10]) ).
cnf(d67,plain,
multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),X2)),identity)),identity)) = multiply(multiply(identity,X1),X2),
inference(superposition,[status(thm)],[d66,d54]) ).
cnf(d68,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,X1),X2))) = multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,X1),X2))),
inference(superposition,[status(thm)],[d67,d50]) ).
cnf(d69,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),X2)),identity)) = multiply(multiply(identity,multiply(identity,multiply(multiply(identity,X1),X2))),identity),
inference(superposition,[status(thm)],[d68,d49]) ).
cnf(d70,plain,
multiply(multiply(X2,X2),multiply(multiply(X2,multiply(multiply(X2,X0),X1)),identity)) = multiply(identity,multiply(multiply(identity,multiply(multiply(identity,X0),X1)),identity)),
inference(demodulation,[status(thm)],[d69,d17]) ).
cnf(d71,plain,
multiply(multiply(X2,X2),multiply(multiply(X2,multiply(multiply(X2,X0),X1)),identity)) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),X1),identity))),
inference(demodulation,[status(thm)],[d70,d17]) ).
cnf(d72,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X0,X1),X2)),identity))) = multiply(X0,multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X1),X2),identity)))),
inference(superposition,[status(thm)],[d71,d68]) ).
cnf(d73,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X0,X1),X2),identity)))) = multiply(X0,multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X1),X2),identity)))),
inference(demodulation,[status(thm)],[d72,d17]) ).
cnf(d74,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X0,identity),X1),identity)))) = multiply(X0,multiply(identity,multiply(identity,multiply(multiply(identity,X1),identity)))),
inference(superposition,[status(thm)],[c1,d73]) ).
cnf(d75,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),X0),identity)))) = multiply(X1,multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity))))),
inference(demodulation,[status(thm)],[d74,d17]) ).
cnf(d76,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X0,identity),X1),identity))),identity)) = multiply(multiply(X0,multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity))))),identity),
inference(superposition,[status(thm)],[d75,d17]) ).
cnf(d77,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(multiply(X0,identity),X1),identity)),identity))) = multiply(multiply(X0,multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity))))),identity),
inference(demodulation,[status(thm)],[d76,d17]) ).
cnf(d78,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(X0,identity),X1),identity),identity)))) = multiply(multiply(X0,multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity))))),identity),
inference(demodulation,[status(thm)],[d77,d17]) ).
cnf(d79,plain,
multiply(multiply(X0,identity),X1) = multiply(multiply(X0,multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity))))),identity),
inference(demodulation,[status(thm)],[d78,d10]) ).
cnf(d80,plain,
multiply(multiply(X1,identity),multiply(X0,identity)) = multiply(multiply(X1,X0),identity),
inference(superposition,[status(thm)],[d10,d79]) ).
cnf(d81,plain,
multiply(multiply(identity,multiply(X0,identity)),multiply(X1,identity)) = multiply(multiply(multiply(identity,X0),X1),identity),
inference(superposition,[status(thm)],[d28,d80]) ).
cnf(d82,plain,
multiply(multiply(identity,multiply(identity,multiply(X0,identity))),multiply(X1,identity)) = multiply(multiply(multiply(identity,multiply(identity,X0)),X1),identity),
inference(superposition,[status(thm)],[d28,d81]) ).
cnf(d83,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),multiply(X1,identity)) = multiply(multiply(multiply(identity,multiply(identity,multiply(identity,X0))),X1),identity),
inference(superposition,[status(thm)],[d28,d82]) ).
cnf(d84,plain,
multiply(X0,multiply(X1,identity)) = multiply(multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))),X1),identity),
inference(superposition,[status(thm)],[d10,d83]) ).
cnf(d85,plain,
multiply(X0,multiply(multiply(X1,identity),identity)) = multiply(multiply(multiply(multiply(identity,multiply(identity,multiply(identity,X0))),X1),identity),identity),
inference(superposition,[status(thm)],[d83,d84]) ).
cnf(d86,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,X0))),X1) = multiply(identity,multiply(identity,multiply(identity,multiply(X0,multiply(multiply(X1,identity),identity))))),
inference(superposition,[status(thm)],[d85,d8]) ).
cnf(d87,plain,
multiply(multiply(identity,multiply(identity,multiply(X0,X1))),multiply(X1,multiply(X1,X1))) = multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),
inference(superposition,[status(thm)],[d0,d14]) ).
cnf(d88,plain,
multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))) = multiply(identity,multiply(identity,multiply(multiply(identity,identity),identity))),
inference(superposition,[status(thm)],[d8,d87]) ).
cnf(d89,plain,
multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))) = multiply(identity,multiply(identity,multiply(identity,multiply(identity,identity)))),
inference(demodulation,[status(thm)],[d88,d17]) ).
cnf(d90,plain,
multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))) = multiply(identity,multiply(identity,multiply(identity,identity))),
inference(demodulation,[status(thm)],[d89,c1]) ).
cnf(d91,plain,
multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))) = multiply(identity,multiply(identity,identity)),
inference(demodulation,[status(thm)],[d90,c1]) ).
cnf(d92,plain,
multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))) = multiply(identity,identity),
inference(demodulation,[status(thm)],[d91,c1]) ).
cnf(d93,plain,
multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))) = identity,
inference(demodulation,[status(thm)],[d92,c1]) ).
cnf(d94,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,identity)),identity)) = multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity))),
inference(superposition,[status(thm)],[d93,d41]) ).
cnf(d95,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)) = multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity))),
inference(demodulation,[status(thm)],[d94,c1]) ).
cnf(d96,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)) = multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),multiply(X0,identity)),identity)),
inference(demodulation,[status(thm)],[d95,d80]) ).
cnf(d97,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)) = multiply(multiply(multiply(X0,identity),multiply(multiply(X0,identity),multiply(X0,identity))),identity),
inference(demodulation,[status(thm)],[d96,d80]) ).
cnf(d98,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)) = multiply(multiply(multiply(X0,identity),multiply(multiply(X0,X0),identity)),identity),
inference(demodulation,[status(thm)],[d97,d80]) ).
cnf(d99,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)) = multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity),
inference(demodulation,[status(thm)],[d98,d80]) ).
cnf(d100,plain,
multiply(X0,multiply(X0,X0)) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))),
inference(superposition,[status(thm)],[d99,d8]) ).
cnf(d101,plain,
multiply(X0,multiply(X0,X0)) = multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,X0)))),X0),
inference(demodulation,[status(thm)],[d100,d86]) ).
cnf(d102,plain,
multiply(X0,multiply(multiply(X0,X0),X1)) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity)),identity)))),
inference(superposition,[status(thm)],[d49,d8]) ).
cnf(d103,plain,
multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,X1),X2))) = multiply(identity,multiply(identity,multiply(multiply(identity,X1),X2))),
inference(superposition,[status(thm)],[d67,d102]) ).
cnf(d104,plain,
multiply(X0,multiply(multiply(X0,multiply(identity,X1)),identity)) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(identity,multiply(X1,identity)))),
inference(superposition,[status(thm)],[d42,d5]) ).
cnf(d105,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,multiply(identity,X1)),identity)),multiply(multiply(X1,identity),multiply(multiply(X1,identity),multiply(X1,identity))))) = identity,
inference(superposition,[status(thm)],[d104,c0]) ).
cnf(d106,plain,
multiply(X0,identity) = multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X0,multiply(identity,X1)),identity)),multiply(multiply(X1,identity),multiply(multiply(X1,identity),multiply(X1,identity)))))),
inference(superposition,[status(thm)],[d105,d103]) ).
cnf(d107,plain,
multiply(X1,identity) = multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X1,multiply(identity,X0)),identity)),multiply(multiply(X0,identity),multiply(multiply(X0,X0),identity))))),
inference(demodulation,[status(thm)],[d106,d80]) ).
cnf(d108,plain,
multiply(X1,identity) = multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X1,multiply(identity,X0)),identity)),multiply(multiply(X0,multiply(X0,X0)),identity)))),
inference(demodulation,[status(thm)],[d107,d80]) ).
cnf(d109,plain,
multiply(X0,identity) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(X0,multiply(identity,X1))),multiply(X1,multiply(X1,X1))),identity))),
inference(demodulation,[status(thm)],[d108,d81]) ).
cnf(d110,plain,
multiply(multiply(X2,identity),multiply(multiply(identity,multiply(X0,multiply(identity,X1))),multiply(X1,multiply(X1,X1)))) = multiply(multiply(X2,multiply(identity,multiply(X0,identity))),identity),
inference(superposition,[status(thm)],[d109,d79]) ).
cnf(d111,plain,
multiply(identity,multiply(multiply(identity,multiply(X0,multiply(identity,X1))),multiply(X1,multiply(X1,X1)))) = multiply(multiply(identity,multiply(identity,multiply(X0,identity))),identity),
inference(superposition,[status(thm)],[c1,d110]) ).
cnf(d112,plain,
multiply(identity,multiply(multiply(identity,multiply(X0,multiply(identity,X1))),multiply(X1,multiply(X1,X1)))) = multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity)),
inference(demodulation,[status(thm)],[d111,d17]) ).
cnf(d113,plain,
multiply(identity,multiply(multiply(identity,multiply(X0,multiply(identity,X1))),multiply(X1,multiply(X1,X1)))) = multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),
inference(demodulation,[status(thm)],[d112,d17]) ).
cnf(d114,plain,
multiply(identity,multiply(multiply(multiply(identity,multiply(X0,multiply(identity,X1))),identity),identity)) = multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),X1),
inference(superposition,[status(thm)],[d113,d51]) ).
cnf(d115,plain,
multiply(identity,multiply(multiply(identity,multiply(multiply(X0,multiply(identity,X1)),identity)),identity)) = multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),X1),
inference(demodulation,[status(thm)],[d114,d17]) ).
cnf(d116,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(X0,multiply(identity,X1)),identity),identity))) = multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),X1),
inference(demodulation,[status(thm)],[d115,d17]) ).
cnf(d117,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),X1)) = multiply(X0,multiply(identity,X1)),
inference(superposition,[status(thm)],[d116,d10]) ).
cnf(d118,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity))),X1)) = multiply(multiply(identity,X0),multiply(identity,X1)),
inference(superposition,[status(thm)],[d28,d117]) ).
cnf(d119,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))),X1)) = multiply(multiply(identity,X0),multiply(identity,X1)),
inference(demodulation,[status(thm)],[d118,d17]) ).
cnf(d120,plain,
multiply(identity,multiply(X0,X1)) = multiply(multiply(identity,X0),multiply(identity,X1)),
inference(demodulation,[status(thm)],[d119,d10]) ).
cnf(d121,plain,
multiply(identity,multiply(X1,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))))) = multiply(multiply(identity,X1),X0),
inference(superposition,[status(thm)],[d10,d120]) ).
cnf(d122,plain,
multiply(identity,multiply(identity,multiply(X0,multiply(identity,multiply(multiply(X1,identity),identity))))) = multiply(multiply(identity,multiply(identity,X0)),X1),
inference(superposition,[status(thm)],[d120,d121]) ).
cnf(d123,plain,
multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(X0,identity))),X1),identity)) = multiply(X0,multiply(identity,multiply(X1,identity))),
inference(superposition,[status(thm)],[d82,d117]) ).
cnf(d124,plain,
multiply(identity,multiply(multiply(multiply(multiply(identity,multiply(identity,X0)),X1),identity),identity)) = multiply(X0,multiply(identity,multiply(multiply(X1,identity),identity))),
inference(superposition,[status(thm)],[d82,d123]) ).
cnf(d125,plain,
multiply(identity,multiply(multiply(multiply(identity,identity),multiply(multiply(multiply(identity,identity),multiply(identity,identity)),multiply(X0,X1))),identity)) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))),identity))),
inference(superposition,[status(thm)],[d29,d3]) ).
cnf(d126,plain,
multiply(identity,multiply(multiply(multiply(identity,identity),multiply(identity,identity)),multiply(multiply(multiply(identity,identity),multiply(X0,X1)),identity))) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))),identity))),
inference(demodulation,[status(thm)],[d125,d49]) ).
cnf(d127,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,identity)),multiply(multiply(multiply(identity,identity),multiply(X0,X1)),identity))) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))),identity))),
inference(demodulation,[status(thm)],[d126,c1]) ).
cnf(d128,plain,
multiply(identity,multiply(multiply(identity,identity),multiply(multiply(multiply(identity,identity),multiply(X0,X1)),identity))) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))),identity))),
inference(demodulation,[status(thm)],[d127,c1]) ).
cnf(d129,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(identity,identity),multiply(X0,X1)),identity))) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))),identity))),
inference(demodulation,[status(thm)],[d128,c1]) ).
cnf(d130,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,X1)),identity))) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))),identity))),
inference(demodulation,[status(thm)],[d129,c1]) ).
cnf(d131,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,X1),identity)))) = multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))),identity))),
inference(demodulation,[status(thm)],[d130,d17]) ).
cnf(d132,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X0,multiply(identity,multiply(X1,multiply(X1,X1)))),X1),identity)))) = multiply(X0,identity),
inference(superposition,[status(thm)],[d109,d131]) ).
cnf(d133,plain,
multiply(multiply(multiply(X0,multiply(identity,multiply(X1,multiply(X1,X1)))),X1),multiply(X2,identity)) = multiply(multiply(multiply(X0,identity),X2),identity),
inference(superposition,[status(thm)],[d132,d84]) ).
cnf(d134,plain,
multiply(multiply(multiply(X0,multiply(identity,multiply(X1,multiply(X1,X1)))),X1),identity) = multiply(multiply(multiply(X0,identity),identity),identity),
inference(superposition,[status(thm)],[c1,d133]) ).
cnf(d135,plain,
multiply(identity,multiply(multiply(multiply(multiply(identity,identity),identity),identity),identity)) = multiply(multiply(X0,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity))),
inference(superposition,[status(thm)],[d134,d124]) ).
cnf(d136,plain,
multiply(identity,multiply(multiply(multiply(identity,multiply(identity,identity)),identity),identity)) = multiply(multiply(X0,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity))),
inference(demodulation,[status(thm)],[d135,d17]) ).
cnf(d137,plain,
multiply(identity,multiply(multiply(identity,multiply(multiply(identity,identity),identity)),identity)) = multiply(multiply(X0,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity))),
inference(demodulation,[status(thm)],[d136,d17]) ).
cnf(d138,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(identity,identity),identity),identity))) = multiply(multiply(X0,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity))),
inference(demodulation,[status(thm)],[d137,d17]) ).
cnf(d139,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(identity,identity)),identity))) = multiply(multiply(X0,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity))),
inference(demodulation,[status(thm)],[d138,d17]) ).
cnf(d140,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(identity,identity),identity)))) = multiply(multiply(X0,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity))),
inference(demodulation,[status(thm)],[d139,d17]) ).
cnf(d141,plain,
identity = multiply(multiply(X0,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity))),
inference(demodulation,[status(thm)],[d140,d10]) ).
cnf(d142,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity))))) = multiply(X0,multiply(multiply(X0,X0),identity)),
inference(superposition,[status(thm)],[d141,d68]) ).
cnf(d143,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,multiply(X0,X0)))),X0) = multiply(X0,multiply(multiply(X0,X0),identity)),
inference(demodulation,[status(thm)],[d142,d122]) ).
cnf(d144,plain,
multiply(X0,multiply(X0,X0)) = multiply(X0,multiply(multiply(X0,X0),identity)),
inference(demodulation,[status(thm)],[d143,d101]) ).
cnf(d145,plain,
multiply(multiply(X0,multiply(X0,X0)),identity) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),identity)))),
inference(superposition,[status(thm)],[d99,d8]) ).
cnf(d146,plain,
multiply(multiply(X0,multiply(X0,X0)),identity) = multiply(X0,multiply(multiply(X0,X0),identity)),
inference(demodulation,[status(thm)],[d145,d50]) ).
cnf(d147,plain,
multiply(multiply(X0,multiply(X0,X0)),identity) = multiply(X0,multiply(X0,X0)),
inference(demodulation,[status(thm)],[d146,d144]) ).
cnf(d148,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)) = multiply(multiply(X0,multiply(X0,X0)),identity),
inference(superposition,[status(thm)],[d144,d49]) ).
cnf(d149,plain,
multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)) = multiply(X0,multiply(X0,X0)),
inference(demodulation,[status(thm)],[d148,d147]) ).
cnf(d150,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,identity),identity))) = multiply(X0,multiply(X0,multiply(X0,X0))),
inference(superposition,[status(thm)],[d149,d68]) ).
cnf(d151,plain,
multiply(identity,multiply(identity,multiply(identity,identity))) = multiply(X0,multiply(X0,multiply(X0,X0))),
inference(demodulation,[status(thm)],[d150,d144]) ).
cnf(d152,plain,
multiply(identity,multiply(identity,identity)) = multiply(X0,multiply(X0,multiply(X0,X0))),
inference(demodulation,[status(thm)],[d151,c1]) ).
cnf(d153,plain,
multiply(identity,identity) = multiply(X0,multiply(X0,multiply(X0,X0))),
inference(demodulation,[status(thm)],[d152,c1]) ).
cnf(d154,plain,
identity = multiply(X0,multiply(X0,multiply(X0,X0))),
inference(demodulation,[status(thm)],[d153,c1]) ).
cnf(d155,plain,
multiply(multiply(identity,identity),X0) = multiply(identity,multiply(multiply(X0,identity),identity)),
inference(superposition,[status(thm)],[d154,d39]) ).
cnf(d156,plain,
multiply(identity,X0) = multiply(identity,multiply(multiply(X0,identity),identity)),
inference(demodulation,[status(thm)],[d155,c1]) ).
cnf(d157,plain,
multiply(identity,multiply(identity,multiply(identity,X0))) = X0,
inference(demodulation,[status(thm)],[d10,d156]) ).
cnf(d158,plain,
multiply(identity,multiply(identity,multiply(identity,X0))) = multiply(multiply(X0,identity),identity),
inference(superposition,[status(thm)],[d156,d157]) ).
cnf(d159,plain,
X0 = multiply(multiply(X0,identity),identity),
inference(demodulation,[status(thm)],[d158,d157]) ).
cnf(d160,plain,
X0 = multiply(identity,multiply(identity,multiply(identity,X0))),
inference(demodulation,[status(thm)],[d8,d156]) ).
cnf(d161,plain,
multiply(X0,X1) = multiply(identity,multiply(identity,multiply(identity,multiply(X0,multiply(multiply(X1,identity),identity))))),
inference(demodulation,[status(thm)],[d86,d157]) ).
cnf(d162,plain,
multiply(X0,X1) = multiply(X0,multiply(multiply(X1,identity),identity)),
inference(demodulation,[status(thm)],[d161,d157]) ).
cnf(d163,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(identity,multiply(identity,identity)))) = identity,
inference(superposition,[status(thm)],[c1,c0]) ).
cnf(d164,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(identity,identity))) = identity,
inference(demodulation,[status(thm)],[d163,c1]) ).
cnf(d165,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity)) = identity,
inference(demodulation,[status(thm)],[d164,c1]) ).
cnf(d166,plain,
multiply(X0,multiply(multiply(X0,identity),identity)) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),identity)),
inference(superposition,[status(thm)],[d165,d5]) ).
cnf(d167,plain,
multiply(X0,multiply(multiply(X0,multiply(X0,multiply(multiply(X0,identity),identity))),identity)) = multiply(multiply(X0,X0),multiply(X0,X0)),
inference(superposition,[status(thm)],[d166,d5]) ).
cnf(d168,plain,
multiply(X0,multiply(multiply(X0,multiply(X0,X0)),identity)) = multiply(multiply(X0,X0),multiply(X0,X0)),
inference(demodulation,[status(thm)],[d167,d162]) ).
cnf(d169,plain,
multiply(X0,multiply(X0,multiply(X0,X0))) = multiply(multiply(X0,X0),multiply(X0,X0)),
inference(demodulation,[status(thm)],[d168,d147]) ).
cnf(d170,plain,
identity = multiply(multiply(X0,X0),multiply(X0,X0)),
inference(demodulation,[status(thm)],[d169,d154]) ).
cnf(d171,plain,
multiply(multiply(identity,multiply(identity,X0)),X1) = multiply(identity,multiply(identity,multiply(X0,multiply(identity,multiply(multiply(X1,identity),identity))))),
inference(superposition,[status(thm)],[d124,d8]) ).
cnf(d172,plain,
multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(identity,multiply(identity,multiply(multiply(identity,X1),X2))),identity)),identity)) = multiply(multiply(identity,X0),multiply(multiply(X0,X1),X2)),
inference(superposition,[status(thm)],[d68,d67]) ).
cnf(d173,plain,
multiply(identity,multiply(multiply(multiply(X2,X2),multiply(identity,multiply(multiply(identity,multiply(multiply(identity,X0),X1)),identity))),identity)) = multiply(multiply(identity,X2),multiply(multiply(X2,X0),X1)),
inference(demodulation,[status(thm)],[d172,d17]) ).
cnf(d174,plain,
multiply(identity,multiply(multiply(multiply(X2,X2),multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),X1),identity)))),identity)) = multiply(multiply(identity,X2),multiply(multiply(X2,X0),X1)),
inference(demodulation,[status(thm)],[d173,d17]) ).
cnf(d175,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(X0,X0),X1),X2),identity)))),identity)) = multiply(multiply(identity,X0),multiply(multiply(X0,X1),X2)),
inference(demodulation,[status(thm)],[d174,d73]) ).
cnf(d176,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(X0,X0),X1),X2),identity))),identity))) = multiply(multiply(identity,X0),multiply(multiply(X0,X1),X2)),
inference(demodulation,[status(thm)],[d175,d17]) ).
cnf(d177,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(multiply(multiply(X0,X0),X1),X2),identity)),identity)))) = multiply(multiply(identity,X0),multiply(multiply(X0,X1),X2)),
inference(demodulation,[status(thm)],[d176,d17]) ).
cnf(d178,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(multiply(X0,X0),X1),X2),identity),identity))))) = multiply(multiply(identity,X0),multiply(multiply(X0,X1),X2)),
inference(demodulation,[status(thm)],[d177,d17]) ).
cnf(d179,plain,
multiply(identity,multiply(multiply(multiply(X0,X0),X1),X2)) = multiply(multiply(identity,X0),multiply(multiply(X0,X1),X2)),
inference(demodulation,[status(thm)],[d178,d10]) ).
cnf(d180,plain,
multiply(identity,multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity)))) = multiply(multiply(identity,X0),identity),
inference(superposition,[status(thm)],[d141,d179]) ).
cnf(d181,plain,
multiply(identity,multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity)))) = multiply(identity,multiply(X0,identity)),
inference(demodulation,[status(thm)],[d180,d17]) ).
cnf(d182,plain,
multiply(multiply(identity,multiply(identity,multiply(multiply(X0,X0),multiply(X0,X0)))),X0) = multiply(identity,multiply(identity,multiply(X0,identity))),
inference(superposition,[status(thm)],[d181,d171]) ).
cnf(d183,plain,
multiply(multiply(identity,multiply(identity,identity)),X0) = multiply(identity,multiply(identity,multiply(X0,identity))),
inference(demodulation,[status(thm)],[d182,d170]) ).
cnf(d184,plain,
multiply(multiply(identity,identity),X0) = multiply(identity,multiply(identity,multiply(X0,identity))),
inference(demodulation,[status(thm)],[d183,c1]) ).
cnf(d185,plain,
multiply(identity,X0) = multiply(identity,multiply(identity,multiply(X0,identity))),
inference(demodulation,[status(thm)],[d184,c1]) ).
cnf(d186,plain,
multiply(X0,identity) = multiply(identity,multiply(identity,X0)),
inference(superposition,[status(thm)],[d185,d160]) ).
cnf(d187,plain,
X0 = multiply(multiply(identity,X0),identity),
inference(demodulation,[status(thm)],[d160,d186]) ).
cnf(d188,plain,
multiply(identity,X0) = multiply(X0,identity),
inference(superposition,[status(thm)],[d187,d159]) ).
cnf(d189,plain,
multiply(multiply(identity,X0),identity) = X0,
inference(demodulation,[status(thm)],[d157,d186]) ).
cnf(d190,plain,
multiply(identity,multiply(identity,X0)) = X0,
inference(demodulation,[status(thm)],[d189,d188]) ).
cnf(d191,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[d186,d190]) ).
cnf(d192,plain,
X0 = multiply(identity,multiply(X0,identity)),
inference(demodulation,[status(thm)],[d28,d187]) ).
cnf(d193,plain,
multiply(X0,identity) = multiply(identity,X0),
inference(superposition,[status(thm)],[d159,d192]) ).
cnf(d194,plain,
X0 = multiply(identity,X0),
inference(demodulation,[status(thm)],[d193,d191]) ).
cnf(d195,plain,
multiply(identity,a) != a,
inference(demodulation,[status(thm)],[c2,d188]) ).
cnf(d196,plain,
a != a,
inference(demodulation,[status(thm)],[d195,d194]) ).
cnf(d197,plain,
X0 = multiply(identity,multiply(multiply(identity,multiply(multiply(identity,identity),multiply(X0,X1))),multiply(X1,multiply(X1,X1)))),
inference(superposition,[status(thm)],[c0,d24]) ).
cnf(d198,plain,
X0 = X0,
inference(demodulation,[status(thm)],[d197,c0]) ).
cnf(d199,plain,
$false,
inference(resolution,[status(thm)],[d198,d196]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP121-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.05/0.31 % Computer : n012.cluster.edu
% 0.05/0.31 % Model : x86_64 x86_64
% 0.05/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.31 % Memory : 8046.5625MB
% 0.05/0.31 % OS : Linux 6.8.0-71-generic
% 0.05/0.31 % CPULimit : 300
% 0.05/0.31 % WCLimit : 300
% 0.05/0.31 % DateTime : Fri Sep 25 14:23:50 UTC 2026
% 0.05/0.31 % CPUTime :
% 0.05/0.31 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 151.44/22.44 % SZS status Unsatisfiable for theBenchmark.p
% 151.44/22.44 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------