%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP572-1 : 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 : n004.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 07:24:03 AM UTC 2026
% Result : Unsatisfiable 20.95s 5.11s
% Output : CNFRefutation 20.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 56
% Number of leaves : 5
% Syntax : Number of clauses : 174 ( 174 unt; 0 nHn; 4 RR)
% Number of literals : 174 ( 173 equ; 2 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 575 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X0,X2)),'double$udivide'(X2,identity))),'double$udivide'(identity,identity)) = X1 ).
cnf(multiply,axiom,
multiply(X0,X1) = 'double$udivide'('double$udivide'(X1,X0),identity) ).
cnf(inverse,axiom,
inverse(X0) = 'double$udivide'(X0,identity) ).
cnf(identity,axiom,
identity = 'double$udivide'(X0,inverse(X0)) ).
cnf(prove_these_axioms_4,negated_conjecture,
multiply(a,b) != multiply(b,a) ).
cnf(c0,plain,
'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X0,X2)),'double$udivide'(X2,identity))),'double$udivide'(identity,identity)) = X1,
inference(clausification,[status(esa)],[single_axiom]) ).
cnf(c1,plain,
multiply(X0,X1) = 'double$udivide'('double$udivide'(X1,X0),identity),
inference(clausification,[status(esa)],[multiply]) ).
cnf(c2,plain,
inverse(X0) = 'double$udivide'(X0,identity),
inference(clausification,[status(esa)],[inverse]) ).
cnf(c3,plain,
identity = 'double$udivide'(X0,inverse(X0)),
inference(clausification,[status(esa)],[identity]) ).
cnf(c4,plain,
multiply(a,b) != multiply(b,a),
inference(clausification,[status(esa)],[prove_these_axioms_4]) ).
cnf(d0,plain,
multiply(X1,X0) = inverse('double$udivide'(X0,X1)),
inference(demodulation,[status(thm)],[c1,c2]) ).
cnf(d1,plain,
multiply(inverse(X0),X0) = inverse(identity),
inference(superposition,[status(thm)],[c3,d0]) ).
cnf(d2,plain,
'double$udivide'('double$udivide'(X1,'double$udivide'('double$udivide'(X2,'double$udivide'(X1,X0)),inverse(X0))),'double$udivide'(identity,identity)) = X2,
inference(demodulation,[status(thm)],[c0,c2]) ).
cnf(d3,plain,
'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X0,X2)),inverse(X2))),inverse(identity)) = X1,
inference(demodulation,[status(thm)],[d2,c2]) ).
cnf(d4,plain,
'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X1,inverse(X0)),inverse(identity))),inverse(identity)) = X1,
inference(superposition,[status(thm)],[c2,d3]) ).
cnf(d5,plain,
multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c2,d0]) ).
cnf(d6,plain,
'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X1,identity),inverse(inverse(X0)))),inverse(identity)) = X1,
inference(superposition,[status(thm)],[c3,d3]) ).
cnf(d7,plain,
'double$udivide'('double$udivide'(X1,'double$udivide'(inverse(X0),inverse(inverse(X1)))),inverse(identity)) = X0,
inference(demodulation,[status(thm)],[d6,c2]) ).
cnf(d8,plain,
'double$udivide'('double$udivide'(X0,'double$udivide'(inverse(X1),multiply(identity,X0))),inverse(identity)) = X1,
inference(demodulation,[status(thm)],[d7,d5]) ).
cnf(d9,plain,
identity = 'double$udivide'(inverse(X0),multiply(identity,X0)),
inference(superposition,[status(thm)],[d5,c3]) ).
cnf(d10,plain,
'double$udivide'('double$udivide'(X0,identity),inverse(identity)) = X0,
inference(superposition,[status(thm)],[d9,d8]) ).
cnf(d11,plain,
'double$udivide'(inverse(X0),inverse(identity)) = X0,
inference(demodulation,[status(thm)],[d10,c2]) ).
cnf(d12,plain,
'double$udivide'('double$udivide'(identity,'double$udivide'(X0,inverse(identity))),inverse(identity)) = inverse(X0),
inference(superposition,[status(thm)],[d11,d4]) ).
cnf(d13,plain,
inverse('double$udivide'(X0,inverse(identity))) = X0,
inference(superposition,[status(thm)],[d12,d4]) ).
cnf(d14,plain,
multiply(inverse(identity),X0) = X0,
inference(demodulation,[status(thm)],[d13,d0]) ).
cnf(d15,plain,
identity = inverse(identity),
inference(superposition,[status(thm)],[d14,d1]) ).
cnf(d16,plain,
multiply(identity,X0) = X0,
inference(demodulation,[status(thm)],[d14,d15]) ).
cnf(d17,plain,
X0 = inverse(inverse(X0)),
inference(demodulation,[status(thm)],[d5,d16]) ).
cnf(d18,plain,
multiply(inverse(identity),'double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X0,X2)),inverse(X2)))) = inverse(X1),
inference(superposition,[status(thm)],[d3,d0]) ).
cnf(d19,plain,
multiply(inverse(identity),'double$udivide'(inverse(X0),'double$udivide'('double$udivide'(X1,X0),inverse(inverse(identity))))) = inverse(X1),
inference(superposition,[status(thm)],[d11,d18]) ).
cnf(d20,plain,
multiply(identity,'double$udivide'(inverse(X0),'double$udivide'('double$udivide'(X1,X0),inverse(inverse(identity))))) = inverse(X1),
inference(demodulation,[status(thm)],[d19,d15]) ).
cnf(d21,plain,
'double$udivide'(inverse(X0),'double$udivide'('double$udivide'(X1,X0),inverse(inverse(identity)))) = inverse(X1),
inference(demodulation,[status(thm)],[d20,d16]) ).
cnf(d22,plain,
'double$udivide'(inverse(X0),'double$udivide'('double$udivide'(X1,X0),identity)) = inverse(X1),
inference(demodulation,[status(thm)],[d21,d17]) ).
cnf(d23,plain,
'double$udivide'(inverse(X1),inverse('double$udivide'(X0,X1))) = inverse(X0),
inference(demodulation,[status(thm)],[d22,c2]) ).
cnf(d24,plain,
'double$udivide'(inverse(X1),multiply(X1,X0)) = inverse(X0),
inference(demodulation,[status(thm)],[d23,d0]) ).
cnf(d25,plain,
'double$udivide'(inverse(identity),X0) = inverse(X0),
inference(superposition,[status(thm)],[d16,d24]) ).
cnf(d26,plain,
'double$udivide'(identity,X0) = inverse(X0),
inference(demodulation,[status(thm)],[d25,d15]) ).
cnf(d27,plain,
identity = 'double$udivide'('double$udivide'(X0,X1),multiply(X1,X0)),
inference(superposition,[status(thm)],[d0,c3]) ).
cnf(d28,plain,
multiply(inverse(identity),'double$udivide'('double$udivide'(X0,X1),'double$udivide'('double$udivide'(X2,identity),inverse(multiply(X1,X0))))) = inverse(X2),
inference(superposition,[status(thm)],[d27,d18]) ).
cnf(d29,plain,
multiply(identity,'double$udivide'('double$udivide'(X0,X1),'double$udivide'('double$udivide'(X2,identity),inverse(multiply(X1,X0))))) = inverse(X2),
inference(demodulation,[status(thm)],[d28,d15]) ).
cnf(d30,plain,
'double$udivide'('double$udivide'(X0,X1),'double$udivide'('double$udivide'(X2,identity),inverse(multiply(X1,X0)))) = inverse(X2),
inference(demodulation,[status(thm)],[d29,d16]) ).
cnf(d31,plain,
'double$udivide'('double$udivide'(X1,X2),'double$udivide'(inverse(X0),inverse(multiply(X2,X1)))) = inverse(X0),
inference(demodulation,[status(thm)],[d30,c2]) ).
cnf(d32,plain,
'double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X0,X2)),inverse(X2))),'double$udivide'('double$udivide'(X3,X1),inverse(inverse(identity)))),inverse(identity)) = X3,
inference(superposition,[status(thm)],[d3,d3]) ).
cnf(d33,plain,
'double$udivide'('double$udivide'('double$udivide'(X4,'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X4,X5)),inverse(X5))),'double$udivide'(X3,inverse(inverse(identity)))),inverse(identity)) = 'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X0,X2)),inverse(X2))),'double$udivide'('double$udivide'(X3,X1),inverse(inverse(identity)))),
inference(superposition,[status(thm)],[d32,d32]) ).
cnf(d34,plain,
'double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X0,X1)),inverse(X1))),'double$udivide'(X2,multiply(identity,identity))),inverse(identity)) = 'double$udivide'('double$udivide'(X3,'double$udivide'('double$udivide'(X4,'double$udivide'(X3,X5)),inverse(X5))),'double$udivide'('double$udivide'(X2,X4),inverse(inverse(identity)))),
inference(demodulation,[status(thm)],[d33,d5]) ).
cnf(d35,plain,
'double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X0,X1)),inverse(X1))),'double$udivide'(X2,multiply(identity,identity))),inverse(identity)) = 'double$udivide'('double$udivide'(X3,'double$udivide'('double$udivide'(X4,'double$udivide'(X3,X5)),inverse(X5))),'double$udivide'('double$udivide'(X2,X4),multiply(identity,identity))),
inference(demodulation,[status(thm)],[d34,d5]) ).
cnf(d36,plain,
'double$udivide'('double$udivide'('double$udivide'(X2,'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X2,X3)),inverse(X3))),'double$udivide'(X4,multiply(identity,identity))),inverse(identity)) = 'double$udivide'('double$udivide'('double$udivide'(X0,X1),'double$udivide'('double$udivide'(X5,identity),inverse(multiply(X1,X0)))),'double$udivide'('double$udivide'(X4,X5),multiply(identity,identity))),
inference(superposition,[status(thm)],[d27,d35]) ).
cnf(d37,plain,
'double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(identity,'double$udivide'(X0,X1)),inverse(X1))),'double$udivide'(X2,multiply(identity,identity))),inverse(identity)) = 'double$udivide'('double$udivide'('double$udivide'(X3,X4),'double$udivide'('double$udivide'(X5,identity),inverse(multiply(X4,X3)))),'double$udivide'('double$udivide'(X2,X5),multiply(identity,identity))),
inference(demodulation,[status(thm)],[d36,d15]) ).
cnf(d38,plain,
'double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(inverse('double$udivide'(X0,X1)),inverse(X1))),'double$udivide'(X2,multiply(identity,identity))),inverse(identity)) = 'double$udivide'('double$udivide'('double$udivide'(X3,X4),'double$udivide'('double$udivide'(X5,identity),inverse(multiply(X4,X3)))),'double$udivide'('double$udivide'(X2,X5),multiply(identity,identity))),
inference(demodulation,[status(thm)],[d37,d26]) ).
cnf(d39,plain,
'double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(multiply(X1,X0),inverse(X1))),'double$udivide'(X2,multiply(identity,identity))),inverse(identity)) = 'double$udivide'('double$udivide'('double$udivide'(X3,X4),'double$udivide'('double$udivide'(X5,identity),inverse(multiply(X4,X3)))),'double$udivide'('double$udivide'(X2,X5),multiply(identity,identity))),
inference(demodulation,[status(thm)],[d38,d0]) ).
cnf(d40,plain,
'double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(multiply(X1,X0),inverse(X1))),'double$udivide'(X2,identity)),inverse(identity)) = 'double$udivide'('double$udivide'('double$udivide'(X3,X4),'double$udivide'('double$udivide'(X5,identity),inverse(multiply(X4,X3)))),'double$udivide'('double$udivide'(X2,X5),multiply(identity,identity))),
inference(demodulation,[status(thm)],[d39,d16]) ).
cnf(d41,plain,
'double$udivide'('double$udivide'('double$udivide'(X1,'double$udivide'(multiply(X2,X1),inverse(X2))),inverse(X0)),inverse(identity)) = 'double$udivide'('double$udivide'('double$udivide'(X3,X4),'double$udivide'('double$udivide'(X5,identity),inverse(multiply(X4,X3)))),'double$udivide'('double$udivide'(X0,X5),multiply(identity,identity))),
inference(demodulation,[status(thm)],[d40,c2]) ).
cnf(d42,plain,
'double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(multiply(X1,X0),inverse(X1))),inverse(X2)),identity) = 'double$udivide'('double$udivide'('double$udivide'(X3,X4),'double$udivide'('double$udivide'(X5,identity),inverse(multiply(X4,X3)))),'double$udivide'('double$udivide'(X2,X5),multiply(identity,identity))),
inference(demodulation,[status(thm)],[d41,d15]) ).
cnf(d43,plain,
inverse('double$udivide'('double$udivide'(X0,'double$udivide'(multiply(X1,X0),inverse(X1))),inverse(X2))) = 'double$udivide'('double$udivide'('double$udivide'(X3,X4),'double$udivide'('double$udivide'(X5,identity),inverse(multiply(X4,X3)))),'double$udivide'('double$udivide'(X2,X5),multiply(identity,identity))),
inference(demodulation,[status(thm)],[d42,c2]) ).
cnf(d44,plain,
multiply(inverse(X2),'double$udivide'(X0,'double$udivide'(multiply(X1,X0),inverse(X1)))) = 'double$udivide'('double$udivide'('double$udivide'(X3,X4),'double$udivide'('double$udivide'(X5,identity),inverse(multiply(X4,X3)))),'double$udivide'('double$udivide'(X2,X5),multiply(identity,identity))),
inference(demodulation,[status(thm)],[d43,d0]) ).
cnf(d45,plain,
multiply(inverse(X1),'double$udivide'(X2,'double$udivide'(multiply(X3,X2),inverse(X3)))) = 'double$udivide'('double$udivide'('double$udivide'(X4,X5),'double$udivide'(inverse(X0),inverse(multiply(X5,X4)))),'double$udivide'('double$udivide'(X1,X0),multiply(identity,identity))),
inference(demodulation,[status(thm)],[d44,c2]) ).
cnf(d46,plain,
multiply(inverse(X3),'double$udivide'(X4,'double$udivide'(multiply(X5,X4),inverse(X5)))) = 'double$udivide'(inverse(X2),'double$udivide'('double$udivide'(X3,X2),multiply(identity,identity))),
inference(demodulation,[status(thm)],[d45,d31]) ).
cnf(d47,plain,
multiply(inverse(X0),'double$udivide'(X1,'double$udivide'(multiply(X2,X1),inverse(X2)))) = 'double$udivide'(inverse(X3),'double$udivide'('double$udivide'(X0,X3),identity)),
inference(demodulation,[status(thm)],[d46,d16]) ).
cnf(d48,plain,
multiply(inverse(X0),'double$udivide'(X2,'double$udivide'(multiply(X3,X2),inverse(X3)))) = 'double$udivide'(inverse(X1),inverse('double$udivide'(X0,X1))),
inference(demodulation,[status(thm)],[d47,c2]) ).
cnf(d49,plain,
multiply(inverse(X0),'double$udivide'(X2,'double$udivide'(multiply(X3,X2),inverse(X3)))) = 'double$udivide'(inverse(X1),multiply(X1,X0)),
inference(demodulation,[status(thm)],[d48,d0]) ).
cnf(d50,plain,
multiply(inverse(X1),'double$udivide'(X2,'double$udivide'(multiply(X3,X2),inverse(X3)))) = inverse(X1),
inference(demodulation,[status(thm)],[d49,d24]) ).
cnf(d51,plain,
'double$udivide'('double$udivide'('double$udivide'(X1,'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X2))),'double$udivide'(X0,multiply(identity,identity))),inverse(identity)) = 'double$udivide'('double$udivide'(X3,'double$udivide'('double$udivide'(identity,'double$udivide'(X3,X4)),inverse(X4))),'double$udivide'(inverse(X0),multiply(identity,identity))),
inference(superposition,[status(thm)],[c2,d35]) ).
cnf(d52,plain,
'double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(identity,'double$udivide'(X0,X1)),inverse(X1))),'double$udivide'(X2,multiply(identity,identity))),inverse(identity)) = 'double$udivide'('double$udivide'(X3,'double$udivide'('double$udivide'(identity,'double$udivide'(X3,X4)),inverse(X4))),'double$udivide'(inverse(X2),multiply(identity,identity))),
inference(demodulation,[status(thm)],[d51,d15]) ).
cnf(d53,plain,
'double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(inverse('double$udivide'(X0,X1)),inverse(X1))),'double$udivide'(X2,multiply(identity,identity))),inverse(identity)) = 'double$udivide'('double$udivide'(X3,'double$udivide'('double$udivide'(identity,'double$udivide'(X3,X4)),inverse(X4))),'double$udivide'(inverse(X2),multiply(identity,identity))),
inference(demodulation,[status(thm)],[d52,d26]) ).
cnf(d54,plain,
'double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(multiply(X1,X0),inverse(X1))),'double$udivide'(X2,multiply(identity,identity))),inverse(identity)) = 'double$udivide'('double$udivide'(X3,'double$udivide'('double$udivide'(identity,'double$udivide'(X3,X4)),inverse(X4))),'double$udivide'(inverse(X2),multiply(identity,identity))),
inference(demodulation,[status(thm)],[d53,d0]) ).
cnf(d55,plain,
'double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(multiply(X1,X0),inverse(X1))),'double$udivide'(X2,identity)),inverse(identity)) = 'double$udivide'('double$udivide'(X3,'double$udivide'('double$udivide'(identity,'double$udivide'(X3,X4)),inverse(X4))),'double$udivide'(inverse(X2),multiply(identity,identity))),
inference(demodulation,[status(thm)],[d54,d16]) ).
cnf(d56,plain,
'double$udivide'('double$udivide'('double$udivide'(X1,'double$udivide'(multiply(X2,X1),inverse(X2))),inverse(X0)),inverse(identity)) = 'double$udivide'('double$udivide'(X3,'double$udivide'('double$udivide'(identity,'double$udivide'(X3,X4)),inverse(X4))),'double$udivide'(inverse(X0),multiply(identity,identity))),
inference(demodulation,[status(thm)],[d55,c2]) ).
cnf(d57,plain,
'double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(multiply(X1,X0),inverse(X1))),inverse(X2)),identity) = 'double$udivide'('double$udivide'(X3,'double$udivide'('double$udivide'(identity,'double$udivide'(X3,X4)),inverse(X4))),'double$udivide'(inverse(X2),multiply(identity,identity))),
inference(demodulation,[status(thm)],[d56,d15]) ).
cnf(d58,plain,
inverse('double$udivide'('double$udivide'(X0,'double$udivide'(multiply(X1,X0),inverse(X1))),inverse(X2))) = 'double$udivide'('double$udivide'(X3,'double$udivide'('double$udivide'(identity,'double$udivide'(X3,X4)),inverse(X4))),'double$udivide'(inverse(X2),multiply(identity,identity))),
inference(demodulation,[status(thm)],[d57,c2]) ).
cnf(d59,plain,
multiply(inverse(X2),'double$udivide'(X0,'double$udivide'(multiply(X1,X0),inverse(X1)))) = 'double$udivide'('double$udivide'(X3,'double$udivide'('double$udivide'(identity,'double$udivide'(X3,X4)),inverse(X4))),'double$udivide'(inverse(X2),multiply(identity,identity))),
inference(demodulation,[status(thm)],[d58,d0]) ).
cnf(d60,plain,
inverse(X0) = 'double$udivide'('double$udivide'(X3,'double$udivide'('double$udivide'(identity,'double$udivide'(X3,X4)),inverse(X4))),'double$udivide'(inverse(X0),multiply(identity,identity))),
inference(demodulation,[status(thm)],[d59,d50]) ).
cnf(d61,plain,
inverse(X2) = 'double$udivide'('double$udivide'(X0,'double$udivide'(inverse('double$udivide'(X0,X1)),inverse(X1))),'double$udivide'(inverse(X2),multiply(identity,identity))),
inference(demodulation,[status(thm)],[d60,d26]) ).
cnf(d62,plain,
inverse(X2) = 'double$udivide'('double$udivide'(X0,'double$udivide'(multiply(X1,X0),inverse(X1))),'double$udivide'(inverse(X2),multiply(identity,identity))),
inference(demodulation,[status(thm)],[d61,d0]) ).
cnf(d63,plain,
inverse(X0) = 'double$udivide'('double$udivide'(X1,'double$udivide'(multiply(X2,X1),inverse(X2))),'double$udivide'(inverse(X0),identity)),
inference(demodulation,[status(thm)],[d62,d16]) ).
cnf(d64,plain,
inverse(X0) = 'double$udivide'('double$udivide'(X1,'double$udivide'(multiply(X2,X1),inverse(X2))),inverse(inverse(X0))),
inference(demodulation,[status(thm)],[d63,c2]) ).
cnf(d65,plain,
inverse(X0) = 'double$udivide'('double$udivide'(X1,'double$udivide'(multiply(X2,X1),inverse(X2))),X0),
inference(demodulation,[status(thm)],[d64,d17]) ).
cnf(d66,plain,
multiply(inverse(identity),'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X0,X2)),inverse(X2))),'double$udivide'('double$udivide'(X3,X1),inverse(inverse(identity))))) = inverse(X3),
inference(superposition,[status(thm)],[d32,d0]) ).
cnf(d67,plain,
multiply(inverse(identity),'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X0,X2)),inverse(X2))),'double$udivide'('double$udivide'(X3,X1),multiply(identity,identity)))) = inverse(X3),
inference(demodulation,[status(thm)],[d66,d5]) ).
cnf(d68,plain,
multiply(inverse(identity),'double$udivide'('double$udivide'(X2,'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X2,X3)),inverse(X3))),'double$udivide'(X1,multiply(identity,identity)))) = inverse('double$udivide'(X0,'double$udivide'('double$udivide'(X1,inverse(X0)),inverse(identity)))),
inference(superposition,[status(thm)],[d4,d67]) ).
cnf(d69,plain,
multiply(identity,'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X0,X1)),inverse(X1))),'double$udivide'(X2,multiply(identity,identity)))) = inverse('double$udivide'(X3,'double$udivide'('double$udivide'(X2,inverse(X3)),inverse(identity)))),
inference(demodulation,[status(thm)],[d68,d15]) ).
cnf(d70,plain,
'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X0,X1)),inverse(X1))),'double$udivide'(X2,multiply(identity,identity))) = inverse('double$udivide'(X3,'double$udivide'('double$udivide'(X2,inverse(X3)),inverse(identity)))),
inference(demodulation,[status(thm)],[d69,d16]) ).
cnf(d71,plain,
'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(identity,'double$udivide'(X0,X1)),inverse(X1))),'double$udivide'(X2,multiply(identity,identity))) = inverse('double$udivide'(X3,'double$udivide'('double$udivide'(X2,inverse(X3)),inverse(identity)))),
inference(demodulation,[status(thm)],[d70,d15]) ).
cnf(d72,plain,
'double$udivide'('double$udivide'(X0,'double$udivide'(inverse('double$udivide'(X0,X1)),inverse(X1))),'double$udivide'(X2,multiply(identity,identity))) = inverse('double$udivide'(X3,'double$udivide'('double$udivide'(X2,inverse(X3)),inverse(identity)))),
inference(demodulation,[status(thm)],[d71,d26]) ).
cnf(d73,plain,
'double$udivide'('double$udivide'(X0,'double$udivide'(multiply(X1,X0),inverse(X1))),'double$udivide'(X2,multiply(identity,identity))) = inverse('double$udivide'(X3,'double$udivide'('double$udivide'(X2,inverse(X3)),inverse(identity)))),
inference(demodulation,[status(thm)],[d72,d0]) ).
cnf(d74,plain,
inverse('double$udivide'(X2,multiply(identity,identity))) = inverse('double$udivide'(X3,'double$udivide'('double$udivide'(X2,inverse(X3)),inverse(identity)))),
inference(demodulation,[status(thm)],[d73,d65]) ).
cnf(d75,plain,
multiply(multiply(identity,identity),X0) = inverse('double$udivide'(X1,'double$udivide'('double$udivide'(X0,inverse(X1)),inverse(identity)))),
inference(demodulation,[status(thm)],[d74,d0]) ).
cnf(d76,plain,
multiply(identity,X0) = inverse('double$udivide'(X1,'double$udivide'('double$udivide'(X0,inverse(X1)),inverse(identity)))),
inference(demodulation,[status(thm)],[d75,d16]) ).
cnf(d77,plain,
X0 = inverse('double$udivide'(X1,'double$udivide'('double$udivide'(X0,inverse(X1)),inverse(identity)))),
inference(demodulation,[status(thm)],[d76,d16]) ).
cnf(d78,plain,
X1 = multiply('double$udivide'('double$udivide'(X1,inverse(X0)),inverse(identity)),X0),
inference(demodulation,[status(thm)],[d77,d0]) ).
cnf(d79,plain,
X0 = multiply('double$udivide'('double$udivide'(X0,inverse(X1)),identity),X1),
inference(demodulation,[status(thm)],[d78,d15]) ).
cnf(d80,plain,
X0 = multiply(inverse('double$udivide'(X0,inverse(X1))),X1),
inference(demodulation,[status(thm)],[d79,c2]) ).
cnf(d81,plain,
X0 = multiply(multiply(inverse(X1),X0),X1),
inference(demodulation,[status(thm)],[d80,d0]) ).
cnf(d82,plain,
multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(superposition,[status(thm)],[d5,d5]) ).
cnf(d83,plain,
multiply(inverse(identity),'double$udivide'(X1,'double$udivide'('double$udivide'(X2,'double$udivide'(X1,multiply(identity,X0))),multiply(identity,inverse(X0))))) = inverse(X2),
inference(superposition,[status(thm)],[d82,d18]) ).
cnf(d84,plain,
multiply(identity,'double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X0,multiply(identity,X2))),multiply(identity,inverse(X2))))) = inverse(X1),
inference(demodulation,[status(thm)],[d83,d15]) ).
cnf(d85,plain,
'double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X0,multiply(identity,X2))),multiply(identity,inverse(X2)))) = inverse(X1),
inference(demodulation,[status(thm)],[d84,d16]) ).
cnf(d86,plain,
'double$udivide'(X1,'double$udivide'('double$udivide'(X2,'double$udivide'(X1,X0)),multiply(identity,inverse(X0)))) = inverse(X2),
inference(demodulation,[status(thm)],[d85,d16]) ).
cnf(d87,plain,
'double$udivide'(X1,'double$udivide'('double$udivide'(X2,'double$udivide'(X1,X0)),inverse(X0))) = inverse(X2),
inference(demodulation,[status(thm)],[d86,d16]) ).
cnf(d88,plain,
'double$udivide'('double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X0,X2)),inverse(X2))),'double$udivide'('double$udivide'(X3,X1),inverse(inverse(identity)))),'double$udivide'('double$udivide'(X4,X3),inverse(inverse(identity)))),inverse(identity)) = X4,
inference(superposition,[status(thm)],[d32,d3]) ).
cnf(d89,plain,
'double$udivide'('double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X0,X2)),inverse(X2))),'double$udivide'('double$udivide'(X3,X1),multiply(identity,identity))),'double$udivide'('double$udivide'(X4,X3),inverse(inverse(identity)))),inverse(identity)) = X4,
inference(demodulation,[status(thm)],[d88,d5]) ).
cnf(d90,plain,
'double$udivide'('double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X0,X2)),inverse(X2))),'double$udivide'('double$udivide'(X3,X1),multiply(identity,identity))),'double$udivide'('double$udivide'(X4,X3),multiply(identity,identity))),inverse(identity)) = X4,
inference(demodulation,[status(thm)],[d89,d5]) ).
cnf(d91,plain,
'double$udivide'('double$udivide'('double$udivide'('double$udivide'(X2,'double$udivide'('double$udivide'(multiply(X1,X0),'double$udivide'(X2,X3)),inverse(X3))),'double$udivide'(identity,multiply(identity,identity))),'double$udivide'('double$udivide'(X4,'double$udivide'(X0,X1)),multiply(identity,identity))),inverse(identity)) = X4,
inference(superposition,[status(thm)],[d27,d90]) ).
cnf(d92,plain,
'double$udivide'('double$udivide'('double$udivide'(inverse(multiply(X1,X2)),'double$udivide'(identity,multiply(identity,identity))),'double$udivide'('double$udivide'(X4,'double$udivide'(X2,X1)),multiply(identity,identity))),inverse(identity)) = X4,
inference(demodulation,[status(thm)],[d91,d87]) ).
cnf(d93,plain,
'double$udivide'('double$udivide'('double$udivide'(inverse(multiply(X0,X1)),inverse(multiply(identity,identity))),'double$udivide'('double$udivide'(X2,'double$udivide'(X1,X0)),multiply(identity,identity))),inverse(identity)) = X2,
inference(demodulation,[status(thm)],[d92,d26]) ).
cnf(d94,plain,
'double$udivide'('double$udivide'('double$udivide'(inverse(multiply(X0,X1)),inverse(identity)),'double$udivide'('double$udivide'(X2,'double$udivide'(X1,X0)),multiply(identity,identity))),inverse(identity)) = X2,
inference(demodulation,[status(thm)],[d93,d16]) ).
cnf(d95,plain,
'double$udivide'('double$udivide'('double$udivide'(inverse(multiply(X0,X1)),identity),'double$udivide'('double$udivide'(X2,'double$udivide'(X1,X0)),multiply(identity,identity))),inverse(identity)) = X2,
inference(demodulation,[status(thm)],[d94,d15]) ).
cnf(d96,plain,
'double$udivide'('double$udivide'(inverse(inverse(multiply(X0,X1))),'double$udivide'('double$udivide'(X2,'double$udivide'(X1,X0)),multiply(identity,identity))),inverse(identity)) = X2,
inference(demodulation,[status(thm)],[d95,c2]) ).
cnf(d97,plain,
'double$udivide'('double$udivide'(multiply(X0,X1),'double$udivide'('double$udivide'(X2,'double$udivide'(X1,X0)),multiply(identity,identity))),inverse(identity)) = X2,
inference(demodulation,[status(thm)],[d96,d17]) ).
cnf(d98,plain,
'double$udivide'('double$udivide'(multiply(X0,X1),'double$udivide'('double$udivide'(X2,'double$udivide'(X1,X0)),identity)),inverse(identity)) = X2,
inference(demodulation,[status(thm)],[d97,d16]) ).
cnf(d99,plain,
'double$udivide'('double$udivide'(multiply(X2,X1),inverse('double$udivide'(X0,'double$udivide'(X1,X2)))),inverse(identity)) = X0,
inference(demodulation,[status(thm)],[d98,c2]) ).
cnf(d100,plain,
'double$udivide'('double$udivide'(multiply(X2,X1),multiply('double$udivide'(X1,X2),X0)),inverse(identity)) = X0,
inference(demodulation,[status(thm)],[d99,d0]) ).
cnf(d101,plain,
'double$udivide'('double$udivide'(multiply(X0,X1),multiply('double$udivide'(X1,X0),X2)),identity) = X2,
inference(demodulation,[status(thm)],[d100,d15]) ).
cnf(d102,plain,
inverse('double$udivide'(multiply(X0,X1),multiply('double$udivide'(X1,X0),X2))) = X2,
inference(demodulation,[status(thm)],[d101,c2]) ).
cnf(d103,plain,
multiply(multiply('double$udivide'(X1,X0),X2),multiply(X0,X1)) = X2,
inference(demodulation,[status(thm)],[d102,d0]) ).
cnf(d104,plain,
'double$udivide'('double$udivide'('double$udivide'(X1,'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X2))),'double$udivide'(inverse(X0),multiply(identity,identity))),inverse(identity)) = 'double$udivide'('double$udivide'(X3,'double$udivide'('double$udivide'(multiply(identity,X0),'double$udivide'(X3,X4)),inverse(X4))),'double$udivide'(identity,multiply(identity,identity))),
inference(superposition,[status(thm)],[d9,d35]) ).
cnf(d105,plain,
'double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(identity,'double$udivide'(X0,X1)),inverse(X1))),'double$udivide'(inverse(X2),multiply(identity,identity))),inverse(identity)) = 'double$udivide'('double$udivide'(X3,'double$udivide'('double$udivide'(multiply(identity,X2),'double$udivide'(X3,X4)),inverse(X4))),'double$udivide'(identity,multiply(identity,identity))),
inference(demodulation,[status(thm)],[d104,d15]) ).
cnf(d106,plain,
'double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(inverse('double$udivide'(X0,X1)),inverse(X1))),'double$udivide'(inverse(X2),multiply(identity,identity))),inverse(identity)) = 'double$udivide'('double$udivide'(X3,'double$udivide'('double$udivide'(multiply(identity,X2),'double$udivide'(X3,X4)),inverse(X4))),'double$udivide'(identity,multiply(identity,identity))),
inference(demodulation,[status(thm)],[d105,d26]) ).
cnf(d107,plain,
'double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'(multiply(X1,X0),inverse(X1))),'double$udivide'(inverse(X2),multiply(identity,identity))),inverse(identity)) = 'double$udivide'('double$udivide'(X3,'double$udivide'('double$udivide'(multiply(identity,X2),'double$udivide'(X3,X4)),inverse(X4))),'double$udivide'(identity,multiply(identity,identity))),
inference(demodulation,[status(thm)],[d106,d0]) ).
cnf(d108,plain,
'double$udivide'(inverse('double$udivide'(inverse(X2),multiply(identity,identity))),inverse(identity)) = 'double$udivide'('double$udivide'(X3,'double$udivide'('double$udivide'(multiply(identity,X2),'double$udivide'(X3,X4)),inverse(X4))),'double$udivide'(identity,multiply(identity,identity))),
inference(demodulation,[status(thm)],[d107,d65]) ).
cnf(d109,plain,
'double$udivide'(multiply(multiply(identity,identity),inverse(X0)),inverse(identity)) = 'double$udivide'('double$udivide'(X1,'double$udivide'('double$udivide'(multiply(identity,X0),'double$udivide'(X1,X2)),inverse(X2))),'double$udivide'(identity,multiply(identity,identity))),
inference(demodulation,[status(thm)],[d108,d0]) ).
cnf(d110,plain,
'double$udivide'(multiply(identity,inverse(X0)),inverse(identity)) = 'double$udivide'('double$udivide'(X1,'double$udivide'('double$udivide'(multiply(identity,X0),'double$udivide'(X1,X2)),inverse(X2))),'double$udivide'(identity,multiply(identity,identity))),
inference(demodulation,[status(thm)],[d109,d16]) ).
cnf(d111,plain,
'double$udivide'(inverse(X0),inverse(identity)) = 'double$udivide'('double$udivide'(X1,'double$udivide'('double$udivide'(multiply(identity,X0),'double$udivide'(X1,X2)),inverse(X2))),'double$udivide'(identity,multiply(identity,identity))),
inference(demodulation,[status(thm)],[d110,d16]) ).
cnf(d112,plain,
'double$udivide'(inverse(X0),identity) = 'double$udivide'('double$udivide'(X1,'double$udivide'('double$udivide'(multiply(identity,X0),'double$udivide'(X1,X2)),inverse(X2))),'double$udivide'(identity,multiply(identity,identity))),
inference(demodulation,[status(thm)],[d111,d15]) ).
cnf(d113,plain,
inverse(inverse(X0)) = 'double$udivide'('double$udivide'(X1,'double$udivide'('double$udivide'(multiply(identity,X0),'double$udivide'(X1,X2)),inverse(X2))),'double$udivide'(identity,multiply(identity,identity))),
inference(demodulation,[status(thm)],[d112,c2]) ).
cnf(d114,plain,
X0 = 'double$udivide'('double$udivide'(X1,'double$udivide'('double$udivide'(multiply(identity,X0),'double$udivide'(X1,X2)),inverse(X2))),'double$udivide'(identity,multiply(identity,identity))),
inference(demodulation,[status(thm)],[d113,d17]) ).
cnf(d115,plain,
X0 = 'double$udivide'('double$udivide'(X1,'double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X2))),'double$udivide'(identity,multiply(identity,identity))),
inference(demodulation,[status(thm)],[d114,d16]) ).
cnf(d116,plain,
X0 = 'double$udivide'('double$udivide'(X1,'double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X2))),inverse(multiply(identity,identity))),
inference(demodulation,[status(thm)],[d115,d26]) ).
cnf(d117,plain,
X0 = 'double$udivide'('double$udivide'(X1,'double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X2))),inverse(identity)),
inference(demodulation,[status(thm)],[d116,d16]) ).
cnf(d118,plain,
X0 = 'double$udivide'('double$udivide'(X1,'double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),inverse(X2))),identity),
inference(demodulation,[status(thm)],[d117,d15]) ).
cnf(d119,plain,
X1 = inverse('double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X0,X2)),inverse(X2)))),
inference(demodulation,[status(thm)],[d118,c2]) ).
cnf(d120,plain,
X1 = multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X0,X2)),inverse(X2)),X0),
inference(demodulation,[status(thm)],[d119,d0]) ).
cnf(d121,plain,
multiply(inverse(identity),'double$udivide'(X0,'double$udivide'('double$udivide'(X1,identity),inverse(inverse(X0))))) = inverse(X1),
inference(superposition,[status(thm)],[c3,d18]) ).
cnf(d122,plain,
multiply(identity,'double$udivide'(X0,'double$udivide'('double$udivide'(X1,identity),inverse(inverse(X0))))) = inverse(X1),
inference(demodulation,[status(thm)],[d121,d15]) ).
cnf(d123,plain,
'double$udivide'(X0,'double$udivide'('double$udivide'(X1,identity),inverse(inverse(X0)))) = inverse(X1),
inference(demodulation,[status(thm)],[d122,d16]) ).
cnf(d124,plain,
'double$udivide'(X1,'double$udivide'(inverse(X0),inverse(inverse(X1)))) = inverse(X0),
inference(demodulation,[status(thm)],[d123,c2]) ).
cnf(d125,plain,
'double$udivide'(X0,'double$udivide'(inverse(X1),X0)) = inverse(X1),
inference(demodulation,[status(thm)],[d124,d17]) ).
cnf(d126,plain,
multiply(inverse(identity),'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X0,X2)),inverse(X2))),'double$udivide'('double$udivide'(X3,X1),inverse(inverse(identity))))) = inverse(X3),
inference(superposition,[status(thm)],[d3,d18]) ).
cnf(d127,plain,
multiply(identity,'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X0,X2)),inverse(X2))),'double$udivide'('double$udivide'(X3,X1),inverse(inverse(identity))))) = inverse(X3),
inference(demodulation,[status(thm)],[d126,d15]) ).
cnf(d128,plain,
'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X0,X2)),inverse(X2))),'double$udivide'('double$udivide'(X3,X1),inverse(inverse(identity)))) = inverse(X3),
inference(demodulation,[status(thm)],[d127,d16]) ).
cnf(d129,plain,
'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X0,X2)),inverse(X2))),'double$udivide'('double$udivide'(X3,X1),identity)) = inverse(X3),
inference(demodulation,[status(thm)],[d128,d17]) ).
cnf(d130,plain,
'double$udivide'('double$udivide'(X2,'double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X3))),inverse('double$udivide'(X0,X1))) = inverse(X0),
inference(demodulation,[status(thm)],[d129,c2]) ).
cnf(d131,plain,
'double$udivide'('double$udivide'(X2,'double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X3))),multiply(X1,X0)) = inverse(X0),
inference(demodulation,[status(thm)],[d130,d0]) ).
cnf(d132,plain,
'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'('double$udivide'(X3,'double$udivide'('double$udivide'(X4,'double$udivide'(X3,X5)),inverse(X5))),'double$udivide'('double$udivide'(X2,X4),multiply(identity,identity))),inverse(identity))),inverse(identity)) = 'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X0,X1)),inverse(X1))),'double$udivide'(X2,multiply(identity,identity))),
inference(superposition,[status(thm)],[d35,d4]) ).
cnf(d133,plain,
'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X0,X2)),inverse(X2))),'double$udivide'('double$udivide'(X3,X1),identity)),inverse(identity))),inverse(identity)) = 'double$udivide'('double$udivide'(X4,'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X4,X5)),inverse(X5))),'double$udivide'(X3,multiply(identity,identity))),
inference(demodulation,[status(thm)],[d132,d16]) ).
cnf(d134,plain,
'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'('double$udivide'(X2,'double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X3))),inverse('double$udivide'(X0,X1))),inverse(identity))),inverse(identity)) = 'double$udivide'('double$udivide'(X4,'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X4,X5)),inverse(X5))),'double$udivide'(X0,multiply(identity,identity))),
inference(demodulation,[status(thm)],[d133,c2]) ).
cnf(d135,plain,
'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'('double$udivide'(X2,'double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X3))),multiply(X1,X0)),inverse(identity))),inverse(identity)) = 'double$udivide'('double$udivide'(X4,'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X4,X5)),inverse(X5))),'double$udivide'(X0,multiply(identity,identity))),
inference(demodulation,[status(thm)],[d134,d0]) ).
cnf(d136,plain,
'double$udivide'('double$udivide'(identity,'double$udivide'(inverse(X3),inverse(identity))),inverse(identity)) = 'double$udivide'('double$udivide'(X4,'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X4,X5)),inverse(X5))),'double$udivide'(X3,multiply(identity,identity))),
inference(demodulation,[status(thm)],[d135,d131]) ).
cnf(d137,plain,
'double$udivide'('double$udivide'(identity,'double$udivide'(inverse(X0),identity)),inverse(identity)) = 'double$udivide'('double$udivide'(X1,'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X2))),'double$udivide'(X0,multiply(identity,identity))),
inference(demodulation,[status(thm)],[d136,d15]) ).
cnf(d138,plain,
'double$udivide'(inverse(X0),inverse(identity)) = 'double$udivide'('double$udivide'(X1,'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X2))),'double$udivide'(X0,multiply(identity,identity))),
inference(demodulation,[status(thm)],[d137,d125]) ).
cnf(d139,plain,
'double$udivide'(inverse(X0),identity) = 'double$udivide'('double$udivide'(X1,'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X2))),'double$udivide'(X0,multiply(identity,identity))),
inference(demodulation,[status(thm)],[d138,d15]) ).
cnf(d140,plain,
inverse(inverse(X0)) = 'double$udivide'('double$udivide'(X1,'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X2))),'double$udivide'(X0,multiply(identity,identity))),
inference(demodulation,[status(thm)],[d139,c2]) ).
cnf(d141,plain,
X0 = 'double$udivide'('double$udivide'(X1,'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X2))),'double$udivide'(X0,multiply(identity,identity))),
inference(demodulation,[status(thm)],[d140,d17]) ).
cnf(d142,plain,
X0 = 'double$udivide'('double$udivide'(X1,'double$udivide'('double$udivide'(identity,'double$udivide'(X1,X2)),inverse(X2))),'double$udivide'(X0,multiply(identity,identity))),
inference(demodulation,[status(thm)],[d141,d15]) ).
cnf(d143,plain,
X0 = 'double$udivide'('double$udivide'(X1,'double$udivide'('double$udivide'(identity,'double$udivide'(X1,X2)),inverse(X2))),'double$udivide'(X0,identity)),
inference(demodulation,[status(thm)],[d142,d16]) ).
cnf(d144,plain,
X0 = 'double$udivide'('double$udivide'(X1,'double$udivide'('double$udivide'(identity,'double$udivide'(X1,X2)),inverse(X2))),inverse(X0)),
inference(demodulation,[status(thm)],[d143,c2]) ).
cnf(d145,plain,
multiply(inverse(identity),'double$udivide'('double$udivide'(X3,X1),'double$udivide'('double$udivide'('double$udivide'('double$udivide'(X4,'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X4,X5)),inverse(X5))),'double$udivide'(X3,multiply(identity,identity))),inverse(identity)),inverse(multiply(identity,identity))))) = inverse('double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X0,X2)),inverse(X2)))),
inference(superposition,[status(thm)],[d35,d18]) ).
cnf(d146,plain,
multiply(identity,'double$udivide'('double$udivide'(X0,X1),'double$udivide'('double$udivide'('double$udivide'('double$udivide'(X2,'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X2,X3)),inverse(X3))),'double$udivide'(X0,multiply(identity,identity))),inverse(identity)),inverse(multiply(identity,identity))))) = inverse('double$udivide'(X4,'double$udivide'('double$udivide'(X1,'double$udivide'(X4,X5)),inverse(X5)))),
inference(demodulation,[status(thm)],[d145,d15]) ).
cnf(d147,plain,
'double$udivide'('double$udivide'(X0,X1),'double$udivide'('double$udivide'('double$udivide'('double$udivide'(X2,'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X2,X3)),inverse(X3))),'double$udivide'(X0,multiply(identity,identity))),inverse(identity)),inverse(multiply(identity,identity)))) = inverse('double$udivide'(X4,'double$udivide'('double$udivide'(X1,'double$udivide'(X4,X5)),inverse(X5)))),
inference(demodulation,[status(thm)],[d146,d16]) ).
cnf(d148,plain,
'double$udivide'('double$udivide'(X0,X1),'double$udivide'('double$udivide'('double$udivide'('double$udivide'(X2,'double$udivide'('double$udivide'(identity,'double$udivide'(X2,X3)),inverse(X3))),'double$udivide'(X0,multiply(identity,identity))),inverse(identity)),inverse(multiply(identity,identity)))) = inverse('double$udivide'(X4,'double$udivide'('double$udivide'(X1,'double$udivide'(X4,X5)),inverse(X5)))),
inference(demodulation,[status(thm)],[d147,d15]) ).
cnf(d149,plain,
'double$udivide'('double$udivide'(X0,X1),'double$udivide'('double$udivide'('double$udivide'('double$udivide'(X2,'double$udivide'('double$udivide'(identity,'double$udivide'(X2,X3)),inverse(X3))),'double$udivide'(X0,identity)),inverse(identity)),inverse(multiply(identity,identity)))) = inverse('double$udivide'(X4,'double$udivide'('double$udivide'(X1,'double$udivide'(X4,X5)),inverse(X5)))),
inference(demodulation,[status(thm)],[d148,d16]) ).
cnf(d150,plain,
'double$udivide'('double$udivide'(X0,X1),'double$udivide'('double$udivide'('double$udivide'('double$udivide'(X2,'double$udivide'('double$udivide'(identity,'double$udivide'(X2,X3)),inverse(X3))),inverse(X0)),inverse(identity)),inverse(multiply(identity,identity)))) = inverse('double$udivide'(X4,'double$udivide'('double$udivide'(X1,'double$udivide'(X4,X5)),inverse(X5)))),
inference(demodulation,[status(thm)],[d149,c2]) ).
cnf(d151,plain,
'double$udivide'('double$udivide'(X2,X3),'double$udivide'('double$udivide'(X2,inverse(identity)),inverse(multiply(identity,identity)))) = inverse('double$udivide'(X4,'double$udivide'('double$udivide'(X3,'double$udivide'(X4,X5)),inverse(X5)))),
inference(demodulation,[status(thm)],[d150,d144]) ).
cnf(d152,plain,
'double$udivide'('double$udivide'(X0,X1),'double$udivide'('double$udivide'(X0,identity),inverse(multiply(identity,identity)))) = inverse('double$udivide'(X2,'double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X3)))),
inference(demodulation,[status(thm)],[d151,d15]) ).
cnf(d153,plain,
'double$udivide'('double$udivide'(X0,X1),'double$udivide'(inverse(X0),inverse(multiply(identity,identity)))) = inverse('double$udivide'(X2,'double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X3)))),
inference(demodulation,[status(thm)],[d152,c2]) ).
cnf(d154,plain,
'double$udivide'('double$udivide'(X0,X1),'double$udivide'(inverse(X0),inverse(identity))) = inverse('double$udivide'(X2,'double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X3)))),
inference(demodulation,[status(thm)],[d153,d16]) ).
cnf(d155,plain,
'double$udivide'('double$udivide'(X0,X1),'double$udivide'(inverse(X0),identity)) = inverse('double$udivide'(X2,'double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X3)))),
inference(demodulation,[status(thm)],[d154,d15]) ).
cnf(d156,plain,
'double$udivide'('double$udivide'(X0,X1),inverse(inverse(X0))) = inverse('double$udivide'(X2,'double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X3)))),
inference(demodulation,[status(thm)],[d155,c2]) ).
cnf(d157,plain,
'double$udivide'('double$udivide'(X0,X1),X0) = inverse('double$udivide'(X2,'double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X3)))),
inference(demodulation,[status(thm)],[d156,d17]) ).
cnf(d158,plain,
'double$udivide'('double$udivide'(X3,X1),X3) = multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X0,X2)),inverse(X2)),X0),
inference(demodulation,[status(thm)],[d157,d0]) ).
cnf(d159,plain,
'double$udivide'('double$udivide'(X3,X0),X3) = X0,
inference(demodulation,[status(thm)],[d158,d120]) ).
cnf(d160,plain,
inverse(X0) = multiply('double$udivide'(X1,X0),X1),
inference(superposition,[status(thm)],[d159,d120]) ).
cnf(d161,plain,
multiply(inverse(X1),multiply(X1,X0)) = X0,
inference(superposition,[status(thm)],[d160,d103]) ).
cnf(d162,plain,
multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[status(thm)],[d161,d81]) ).
cnf(d163,plain,
$false,
inference(resolution,[status(thm)],[d162,c4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP572-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n004.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Fri Sep 25 15:00:21 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.95/5.11 % SZS status Unsatisfiable for theBenchmark.p
% 20.95/5.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------