%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP101-1 : 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 : n010.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 07:22:19 AM UTC 2026
% Result : Unsatisfiable 56.79s 13.15s
% Output : CNFRefutation 56.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 87
% Number of leaves : 5
% Syntax : Number of clauses : 236 ( 224 unt; 0 nHn; 18 RR)
% Number of literals : 269 ( 268 equ; 46 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 590 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X2,X0)),'double$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$udivide'(X0,inverse(X0)) ).
cnf(prove_these_axioms,negated_conjecture,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(identity,a2) != a2
| multiply(inverse(a1),a1) != identity ) ).
cnf(c0,plain,
'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X2,X0)),'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(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(identity,a2) != a2
| multiply(inverse(a1),a1) != identity ),
inference(clausification,[status(esa)],[prove_these_axioms]) ).
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'(X0,X1)),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'(X2,X0)),inverse(X2))),inverse(identity)) = X1,
inference(demodulation,[status(thm)],[d2,c2]) ).
cnf(d4,plain,
'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X1,inverse(X0)),inverse(X0))),inverse(identity)) = X1,
inference(superposition,[status(thm)],[c2,d3]) ).
cnf(d5,plain,
'double$udivide'('double$udivide'(identity,'double$udivide'(identity,inverse(X0))),inverse(identity)) = X0,
inference(superposition,[status(thm)],[c3,d4]) ).
cnf(d6,plain,
'double$udivide'('double$udivide'(inverse(X0),X0),inverse(identity)) = identity,
inference(superposition,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
'double$udivide'('double$udivide'(X0,identity),inverse(identity)) = inverse('double$udivide'(identity,X0)),
inference(superposition,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
'double$udivide'(inverse(X0),inverse(identity)) = inverse('double$udivide'(identity,X0)),
inference(demodulation,[status(thm)],[d7,c2]) ).
cnf(d9,plain,
'double$udivide'(inverse(X0),inverse(identity)) = multiply(X0,identity),
inference(demodulation,[status(thm)],[d8,d0]) ).
cnf(d10,plain,
multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c2,d0]) ).
cnf(d11,plain,
identity = 'double$udivide'(inverse(X0),multiply(identity,X0)),
inference(superposition,[status(thm)],[d10,c3]) ).
cnf(d12,plain,
'double$udivide'('double$udivide'(multiply(identity,X0),'double$udivide'('double$udivide'(X1,identity),inverse(inverse(X0)))),inverse(identity)) = X1,
inference(superposition,[status(thm)],[d11,d3]) ).
cnf(d13,plain,
'double$udivide'('double$udivide'(multiply(identity,X1),'double$udivide'(inverse(X0),inverse(inverse(X1)))),inverse(identity)) = X0,
inference(demodulation,[status(thm)],[d12,c2]) ).
cnf(d14,plain,
'double$udivide'('double$udivide'(multiply(identity,X0),'double$udivide'(inverse(X1),multiply(identity,X0))),inverse(identity)) = X1,
inference(demodulation,[status(thm)],[d13,d10]) ).
cnf(d15,plain,
'double$udivide'('double$udivide'(multiply(identity,X0),identity),inverse(identity)) = X0,
inference(superposition,[status(thm)],[d11,d14]) ).
cnf(d16,plain,
'double$udivide'(inverse(multiply(identity,X0)),inverse(identity)) = X0,
inference(demodulation,[status(thm)],[d15,c2]) ).
cnf(d17,plain,
multiply(multiply(identity,X0),identity) = X0,
inference(demodulation,[status(thm)],[d16,d9]) ).
cnf(d18,plain,
multiply(identity,'double$udivide'(X0,X1)) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[d0,d10]) ).
cnf(d19,plain,
multiply(inverse(multiply(X1,X0)),identity) = 'double$udivide'(X0,X1),
inference(superposition,[status(thm)],[d18,d17]) ).
cnf(d20,plain,
multiply(inverse(X0),identity) = 'double$udivide'(identity,multiply(identity,X0)),
inference(superposition,[status(thm)],[d17,d19]) ).
cnf(d21,plain,
multiply(multiply(X1,X0),'double$udivide'(X0,X1)) = inverse(identity),
inference(superposition,[status(thm)],[d0,d1]) ).
cnf(d22,plain,
multiply(X0,'double$udivide'(identity,multiply(identity,X0))) = inverse(identity),
inference(superposition,[status(thm)],[d17,d21]) ).
cnf(d23,plain,
multiply(X0,multiply(inverse(X0),identity)) = inverse(identity),
inference(demodulation,[status(thm)],[d22,d20]) ).
cnf(d24,plain,
identity = 'double$udivide'(inverse(multiply(inverse(identity),identity)),inverse(identity)),
inference(superposition,[status(thm)],[d23,d11]) ).
cnf(d25,plain,
identity = multiply(multiply(inverse(identity),identity),identity),
inference(demodulation,[status(thm)],[d24,d9]) ).
cnf(d26,plain,
identity = multiply(inverse(identity),identity),
inference(demodulation,[status(thm)],[d25,d1]) ).
cnf(d27,plain,
identity = inverse(identity),
inference(demodulation,[status(thm)],[d26,d1]) ).
cnf(d28,plain,
'double$udivide'(inverse(X0),identity) = multiply(X0,identity),
inference(demodulation,[status(thm)],[d9,d27]) ).
cnf(d29,plain,
inverse(inverse(X0)) = multiply(X0,identity),
inference(demodulation,[status(thm)],[d28,c2]) ).
cnf(d30,plain,
multiply(identity,X0) = multiply(X0,identity),
inference(superposition,[status(thm)],[d29,d10]) ).
cnf(d31,plain,
multiply(identity,multiply(identity,X0)) = X0,
inference(demodulation,[status(thm)],[d17,d30]) ).
cnf(d32,plain,
'double$udivide'('double$udivide'(inverse(X0),'double$udivide'('double$udivide'(X1,identity),inverse(X0))),inverse(identity)) = X1,
inference(superposition,[status(thm)],[c3,d3]) ).
cnf(d33,plain,
'double$udivide'('double$udivide'(inverse(X1),'double$udivide'(inverse(X0),inverse(X1))),inverse(identity)) = X0,
inference(demodulation,[status(thm)],[d32,c2]) ).
cnf(d34,plain,
'double$udivide'('double$udivide'(inverse(inverse(X0)),identity),inverse(identity)) = X0,
inference(superposition,[status(thm)],[c3,d33]) ).
cnf(d35,plain,
'double$udivide'(inverse(inverse(inverse(X0))),inverse(identity)) = X0,
inference(demodulation,[status(thm)],[d34,c2]) ).
cnf(d36,plain,
'double$udivide'(multiply(identity,inverse(X0)),inverse(identity)) = X0,
inference(demodulation,[status(thm)],[d35,d10]) ).
cnf(d37,plain,
multiply(inverse(identity),multiply(identity,inverse(X0))) = inverse(X0),
inference(superposition,[status(thm)],[d36,d0]) ).
cnf(d38,plain,
multiply(identity,multiply(identity,inverse(X0))) = inverse(X0),
inference(demodulation,[status(thm)],[d37,d27]) ).
cnf(d39,plain,
inverse(X0) = inverse(X0),
inference(demodulation,[status(thm)],[d38,d31]) ).
cnf(d40,plain,
'double$udivide'('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X3,X1),inverse('double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X2,X0)),inverse(X2)))))),inverse(identity)) = X3,
inference(superposition,[status(thm)],[d3,d3]) ).
cnf(d41,plain,
'double$udivide'('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X3,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X0)),inverse(X2)),X0))),inverse(identity)) = X3,
inference(demodulation,[status(thm)],[d40,d0]) ).
cnf(d42,plain,
'double$udivide'('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X4,X0),inverse('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3)))))),inverse(identity)) = X4,
inference(superposition,[status(thm)],[d41,d3]) ).
cnf(d43,plain,
'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),inverse('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,'double$udivide'(X3,X4)),inverse(X3)),X4)))))),inverse(identity)) = X0,
inference(demodulation,[status(thm)],[d42,d27]) ).
cnf(d44,plain,
'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X4,X0),multiply('double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3)),inverse(identity)))),inverse(identity)) = X4,
inference(demodulation,[status(thm)],[d43,d0]) ).
cnf(d45,plain,
'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,'double$udivide'(X3,X4)),inverse(X3)),X4)),identity))),inverse(identity)) = X0,
inference(demodulation,[status(thm)],[d44,d27]) ).
cnf(d46,plain,
'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X4,X0),multiply(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3))))),inverse(identity)) = X4,
inference(demodulation,[status(thm)],[d45,d30]) ).
cnf(d47,plain,
'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X4,X0),inverse(multiply(multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3),'double$udivide'(X0,X1))))),inverse(identity)) = X4,
inference(demodulation,[status(thm)],[d46,d18]) ).
cnf(d48,plain,
'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),inverse(multiply(multiply('double$udivide'('double$udivide'(X2,'double$udivide'(X3,X4)),inverse(X3)),X4),'double$udivide'(X1,X2))))),identity) = X0,
inference(demodulation,[status(thm)],[d47,d27]) ).
cnf(d49,plain,
inverse('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),inverse(multiply(multiply('double$udivide'('double$udivide'(X2,'double$udivide'(X3,X4)),inverse(X3)),X4),'double$udivide'(X1,X2)))))) = X0,
inference(demodulation,[status(thm)],[d48,c2]) ).
cnf(d50,plain,
multiply('double$udivide'('double$udivide'(X0,X1),inverse(multiply(multiply('double$udivide'('double$udivide'(X2,'double$udivide'(X3,X4)),inverse(X3)),X4),'double$udivide'(X1,X2)))),identity) = X0,
inference(demodulation,[status(thm)],[d49,d0]) ).
cnf(d51,plain,
multiply(identity,'double$udivide'('double$udivide'(X0,X1),inverse(multiply(multiply('double$udivide'('double$udivide'(X2,'double$udivide'(X3,X4)),inverse(X3)),X4),'double$udivide'(X1,X2))))) = X0,
inference(demodulation,[status(thm)],[d50,d30]) ).
cnf(d52,plain,
inverse(multiply(inverse(multiply(multiply('double$udivide'('double$udivide'(X2,'double$udivide'(X3,X4)),inverse(X3)),X4),'double$udivide'(X1,X2))),'double$udivide'(X0,X1))) = X0,
inference(demodulation,[status(thm)],[d51,d18]) ).
cnf(d53,plain,
'double$udivide'('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X4,X5),multiply('double$udivide'('double$udivide'(X5,X0),inverse('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3))))),inverse(identity)))),inverse(identity)) = X4,
inference(superposition,[status(thm)],[d41,d41]) ).
cnf(d54,plain,
'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),inverse('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,'double$udivide'(X4,X5)),inverse(X4)),X5))))),inverse(identity)))),inverse(identity)) = X0,
inference(demodulation,[status(thm)],[d53,d27]) ).
cnf(d55,plain,
'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X4,X5),multiply('double$udivide'('double$udivide'(X5,X0),multiply('double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3)),inverse(identity))),inverse(identity)))),inverse(identity)) = X4,
inference(demodulation,[status(thm)],[d54,d0]) ).
cnf(d56,plain,
'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,'double$udivide'(X4,X5)),inverse(X4)),X5)),identity)),inverse(identity)))),inverse(identity)) = X0,
inference(demodulation,[status(thm)],[d55,d27]) ).
cnf(d57,plain,
'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X4,X5),multiply('double$udivide'('double$udivide'(X5,X0),multiply(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3)))),inverse(identity)))),inverse(identity)) = X4,
inference(demodulation,[status(thm)],[d56,d30]) ).
cnf(d58,plain,
'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X4,X5),multiply('double$udivide'('double$udivide'(X5,X0),inverse(multiply(multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X3)),inverse(X2)),X3),'double$udivide'(X0,X1)))),inverse(identity)))),inverse(identity)) = X4,
inference(demodulation,[status(thm)],[d57,d18]) ).
cnf(d59,plain,
'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,X2),inverse(multiply(multiply('double$udivide'('double$udivide'(X3,'double$udivide'(X4,X5)),inverse(X4)),X5),'double$udivide'(X2,X3)))),identity))),inverse(identity)) = X0,
inference(demodulation,[status(thm)],[d58,d27]) ).
cnf(d60,plain,
'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X5,X0),multiply(identity,'double$udivide'('double$udivide'(X0,X1),inverse(multiply(multiply('double$udivide'('double$udivide'(X2,'double$udivide'(X3,X4)),inverse(X3)),X4),'double$udivide'(X1,X2))))))),inverse(identity)) = X5,
inference(demodulation,[status(thm)],[d59,d30]) ).
cnf(d61,plain,
'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X5,X0),inverse(multiply(inverse(multiply(multiply('double$udivide'('double$udivide'(X2,'double$udivide'(X3,X4)),inverse(X3)),X4),'double$udivide'(X1,X2))),'double$udivide'(X0,X1))))),inverse(identity)) = X5,
inference(demodulation,[status(thm)],[d60,d18]) ).
cnf(d62,plain,
'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X5,X4),X4)),inverse(identity)) = X5,
inference(demodulation,[status(thm)],[d61,d52]) ).
cnf(d63,plain,
'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),X1)),identity) = X0,
inference(demodulation,[status(thm)],[d62,d27]) ).
cnf(d64,plain,
inverse('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),X1))) = X0,
inference(demodulation,[status(thm)],[d63,c2]) ).
cnf(d65,plain,
multiply('double$udivide'('double$udivide'(X0,X1),X1),identity) = X0,
inference(demodulation,[status(thm)],[d64,d0]) ).
cnf(d66,plain,
multiply(identity,'double$udivide'('double$udivide'(X0,X1),X1)) = X0,
inference(demodulation,[status(thm)],[d65,d30]) ).
cnf(d67,plain,
inverse(multiply(X1,'double$udivide'(X0,X1))) = X0,
inference(demodulation,[status(thm)],[d66,d18]) ).
cnf(d68,plain,
X1 = inverse(multiply(X0,'double$udivide'(X1,X0))),
inference(superposition,[status(thm)],[d67,d39]) ).
cnf(d69,plain,
multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(superposition,[status(thm)],[d10,d10]) ).
cnf(d70,plain,
multiply(identity,multiply(identity,X0)) = inverse(multiply(identity,inverse(X0))),
inference(superposition,[status(thm)],[d69,d10]) ).
cnf(d71,plain,
multiply(identity,multiply(identity,X0)) = multiply(identity,inverse(inverse(X0))),
inference(demodulation,[status(thm)],[d70,d69]) ).
cnf(d72,plain,
multiply(identity,multiply(identity,X0)) = multiply(identity,multiply(identity,X0)),
inference(demodulation,[status(thm)],[d71,d10]) ).
cnf(d73,plain,
multiply(identity,inverse(multiply(X1,X0))) = multiply(identity,multiply(identity,'double$udivide'(X0,X1))),
inference(superposition,[status(thm)],[d18,d72]) ).
cnf(d74,plain,
multiply(identity,inverse(multiply(X1,X0))) = 'double$udivide'(X0,X1),
inference(demodulation,[status(thm)],[d73,d31]) ).
cnf(d75,plain,
multiply(inverse(identity),inverse(X0)) = inverse(multiply(X0,identity)),
inference(superposition,[status(thm)],[d9,d0]) ).
cnf(d76,plain,
multiply(identity,inverse(X0)) = inverse(multiply(X0,identity)),
inference(demodulation,[status(thm)],[d75,d27]) ).
cnf(d77,plain,
multiply(inverse(identity),'double$udivide'(inverse(X0),X0)) = inverse(identity),
inference(superposition,[status(thm)],[d6,d0]) ).
cnf(d78,plain,
multiply(identity,'double$udivide'(inverse(X0),X0)) = inverse(identity),
inference(demodulation,[status(thm)],[d77,d27]) ).
cnf(d79,plain,
multiply(identity,'double$udivide'(inverse(X0),X0)) = identity,
inference(demodulation,[status(thm)],[d78,d27]) ).
cnf(d80,plain,
inverse(multiply(X0,inverse(X0))) = identity,
inference(demodulation,[status(thm)],[d79,d18]) ).
cnf(d81,plain,
inverse(multiply(multiply(X0,inverse(X0)),identity)) = identity,
inference(superposition,[status(thm)],[d80,d80]) ).
cnf(d82,plain,
multiply(identity,inverse(multiply(X0,inverse(X0)))) = identity,
inference(demodulation,[status(thm)],[d81,d76]) ).
cnf(d83,plain,
'double$udivide'(inverse(X0),X0) = identity,
inference(demodulation,[status(thm)],[d82,d74]) ).
cnf(d84,plain,
inverse(X0) = inverse(multiply(X0,identity)),
inference(superposition,[status(thm)],[d83,d68]) ).
cnf(d85,plain,
inverse(X0) = inverse(multiply(identity,X0)),
inference(superposition,[status(thm)],[d30,d84]) ).
cnf(d86,plain,
X0 = inverse('double$udivide'(X0,identity)),
inference(superposition,[status(thm)],[d85,d68]) ).
cnf(d87,plain,
X0 = multiply(identity,X0),
inference(demodulation,[status(thm)],[d86,d0]) ).
cnf(d88,plain,
X0 = inverse(inverse(X0)),
inference(demodulation,[status(thm)],[d10,d87]) ).
cnf(d89,plain,
multiply(identity,inverse(X0)) = inverse(X0),
inference(demodulation,[status(thm)],[d76,d84]) ).
cnf(d90,plain,
multiply(identity,multiply(identity,'double$udivide'(X0,X1))) = multiply(identity,inverse(multiply(X1,X0))),
inference(superposition,[status(thm)],[d18,d72]) ).
cnf(d91,plain,
'double$udivide'(X0,X1) = multiply(identity,inverse(multiply(X1,X0))),
inference(demodulation,[status(thm)],[d90,d31]) ).
cnf(d92,plain,
'double$udivide'(X1,X0) = inverse(multiply(X0,X1)),
inference(demodulation,[status(thm)],[d91,d89]) ).
cnf(d93,plain,
identity = 'double$udivide'(multiply(identity,inverse(X0)),multiply(identity,multiply(identity,X0))),
inference(superposition,[status(thm)],[d69,d11]) ).
cnf(d94,plain,
'double$udivide'('double$udivide'(multiply(identity,multiply(identity,X0)),'double$udivide'('double$udivide'(X1,identity),inverse(multiply(identity,inverse(X0))))),inverse(identity)) = X1,
inference(superposition,[status(thm)],[d93,d3]) ).
cnf(d95,plain,
'double$udivide'('double$udivide'(multiply(identity,X0),'double$udivide'('double$udivide'(X1,identity),inverse(multiply(identity,inverse(X0))))),inverse(identity)) = X1,
inference(demodulation,[status(thm)],[d94,d87]) ).
cnf(d96,plain,
'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X1,identity),inverse(multiply(identity,inverse(X0))))),inverse(identity)) = X1,
inference(demodulation,[status(thm)],[d95,d87]) ).
cnf(d97,plain,
'double$udivide'('double$udivide'(X1,'double$udivide'(inverse(X0),inverse(multiply(identity,inverse(X1))))),inverse(identity)) = X0,
inference(demodulation,[status(thm)],[d96,c2]) ).
cnf(d98,plain,
'double$udivide'('double$udivide'(X0,'double$udivide'(inverse(X1),'double$udivide'(inverse(X0),identity))),inverse(identity)) = X1,
inference(demodulation,[status(thm)],[d97,d92]) ).
cnf(d99,plain,
'double$udivide'('double$udivide'(X0,'double$udivide'(inverse(X1),inverse(inverse(X0)))),inverse(identity)) = X1,
inference(demodulation,[status(thm)],[d98,c2]) ).
cnf(d100,plain,
'double$udivide'('double$udivide'(X0,'double$udivide'(inverse(X1),X0)),inverse(identity)) = X1,
inference(demodulation,[status(thm)],[d99,d88]) ).
cnf(d101,plain,
'double$udivide'('double$udivide'(X0,'double$udivide'(inverse(X1),X0)),identity) = X1,
inference(demodulation,[status(thm)],[d100,d27]) ).
cnf(d102,plain,
inverse('double$udivide'(X0,'double$udivide'(inverse(X1),X0))) = X1,
inference(demodulation,[status(thm)],[d101,c2]) ).
cnf(d103,plain,
multiply('double$udivide'(inverse(X1),X0),X0) = X1,
inference(demodulation,[status(thm)],[d102,d0]) ).
cnf(d104,plain,
multiply('double$udivide'(X0,X1),X1) = inverse(X0),
inference(superposition,[status(thm)],[d88,d103]) ).
cnf(d105,plain,
multiply(identity,multiply(X0,identity)) = X0,
inference(superposition,[status(thm)],[d30,d31]) ).
cnf(d106,plain,
multiply(identity,inverse(multiply(X0,identity))) = inverse(X0),
inference(superposition,[status(thm)],[d105,d69]) ).
cnf(d107,plain,
'double$udivide'(identity,X0) = inverse(X0),
inference(demodulation,[status(thm)],[d106,d74]) ).
cnf(d108,plain,
'double$udivide'('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,identity),inverse(multiply(identity,inverse(X0)))),multiply(identity,multiply(identity,X0))))),inverse(identity)) = X1,
inference(superposition,[status(thm)],[d93,d41]) ).
cnf(d109,plain,
'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,identity),inverse(multiply(identity,inverse(X2)))),multiply(identity,multiply(identity,X2))))),inverse(identity)) = X0,
inference(demodulation,[status(thm)],[d108,d27]) ).
cnf(d110,plain,
'double$udivide'(inverse('double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,identity),inverse(multiply(identity,inverse(X2)))),multiply(identity,multiply(identity,X2))))),inverse(identity)) = X0,
inference(demodulation,[status(thm)],[d109,d107]) ).
cnf(d111,plain,
'double$udivide'(multiply(multiply('double$udivide'('double$udivide'(X1,identity),inverse(multiply(identity,inverse(X2)))),multiply(identity,multiply(identity,X2))),'double$udivide'(X0,X1)),inverse(identity)) = X0,
inference(demodulation,[status(thm)],[d110,d0]) ).
cnf(d112,plain,
'double$udivide'(multiply(multiply('double$udivide'(inverse(X0),inverse(multiply(identity,inverse(X1)))),multiply(identity,multiply(identity,X1))),'double$udivide'(X2,X0)),inverse(identity)) = X2,
inference(demodulation,[status(thm)],[d111,c2]) ).
cnf(d113,plain,
'double$udivide'(multiply(multiply('double$udivide'(inverse(X1),'double$udivide'(inverse(X0),identity)),multiply(identity,multiply(identity,X0))),'double$udivide'(X2,X1)),inverse(identity)) = X2,
inference(demodulation,[status(thm)],[d112,d92]) ).
cnf(d114,plain,
'double$udivide'(multiply(multiply('double$udivide'(inverse(X1),inverse(inverse(X0))),multiply(identity,multiply(identity,X0))),'double$udivide'(X2,X1)),inverse(identity)) = X2,
inference(demodulation,[status(thm)],[d113,c2]) ).
cnf(d115,plain,
'double$udivide'(multiply(multiply('double$udivide'(inverse(X1),X0),multiply(identity,multiply(identity,X0))),'double$udivide'(X2,X1)),inverse(identity)) = X2,
inference(demodulation,[status(thm)],[d114,d88]) ).
cnf(d116,plain,
'double$udivide'(multiply(multiply('double$udivide'(inverse(X1),X0),multiply(identity,X0)),'double$udivide'(X2,X1)),inverse(identity)) = X2,
inference(demodulation,[status(thm)],[d115,d87]) ).
cnf(d117,plain,
'double$udivide'(multiply(multiply('double$udivide'(inverse(X1),X0),X0),'double$udivide'(X2,X1)),inverse(identity)) = X2,
inference(demodulation,[status(thm)],[d116,d87]) ).
cnf(d118,plain,
'double$udivide'(multiply(X0,'double$udivide'(X2,X0)),inverse(identity)) = X2,
inference(demodulation,[status(thm)],[d117,d103]) ).
cnf(d119,plain,
'double$udivide'(multiply(X0,'double$udivide'(X1,X0)),identity) = X1,
inference(demodulation,[status(thm)],[d118,d27]) ).
cnf(d120,plain,
inverse(multiply(X0,'double$udivide'(X1,X0))) = X1,
inference(demodulation,[status(thm)],[d119,c2]) ).
cnf(d121,plain,
'double$udivide'('double$udivide'(X1,X0),X0) = X1,
inference(demodulation,[status(thm)],[d120,d92]) ).
cnf(d122,plain,
multiply(X0,X1) = inverse('double$udivide'(X0,X1)),
inference(superposition,[status(thm)],[d121,d104]) ).
cnf(d123,plain,
multiply(X1,X0) = multiply(X0,X1),
inference(superposition,[status(thm)],[d122,d0]) ).
cnf(d124,plain,
inverse(multiply(X0,X1)) = 'double$udivide'(X1,X0),
inference(demodulation,[status(thm)],[d74,d89]) ).
cnf(d125,plain,
inverse(inverse(X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[d10,d39]) ).
cnf(d126,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[d125,d87]) ).
cnf(d127,plain,
inverse(multiply(X0,X1)) = 'double$udivide'(X0,X1),
inference(superposition,[status(thm)],[d122,d126]) ).
cnf(d128,plain,
'double$udivide'(X0,X1) = 'double$udivide'(X1,X0),
inference(superposition,[status(thm)],[d127,d124]) ).
cnf(d129,plain,
X1 = 'double$udivide'('double$udivide'(X1,X0),X0),
inference(demodulation,[status(thm)],[d68,d92]) ).
cnf(d130,plain,
X0 = 'double$udivide'(X1,'double$udivide'(X0,X1)),
inference(demodulation,[status(thm)],[d129,d128]) ).
cnf(d131,plain,
X0 = 'double$udivide'('double$udivide'(X1,X0),X1),
inference(superposition,[status(thm)],[d130,d130]) ).
cnf(d132,plain,
X1 = 'double$udivide'(X0,'double$udivide'(X0,X1)),
inference(demodulation,[status(thm)],[d131,d128]) ).
cnf(d133,plain,
identity = 'double$udivide'('double$udivide'(X0,X1),multiply(X1,X0)),
inference(superposition,[status(thm)],[d0,c3]) ).
cnf(d134,plain,
multiply(X0,'double$udivide'(X1,X0)) = inverse(X1),
inference(superposition,[status(thm)],[d68,d88]) ).
cnf(d135,plain,
'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X2,X3)),inverse(X2)),X3))),inverse(identity)) = 'double$udivide'(identity,'double$udivide'('double$udivide'(X0,inverse(X1)),inverse(X1))),
inference(superposition,[status(thm)],[d4,d41]) ).
cnf(d136,plain,
'double$udivide'(inverse(identity),'double$udivide'(inverse(identity),'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X1)),X2)))) = 'double$udivide'(identity,'double$udivide'('double$udivide'(X0,inverse(X3)),inverse(X3))),
inference(demodulation,[status(thm)],[d135,d128]) ).
cnf(d137,plain,
'double$udivide'(X0,multiply('double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X1,X2)),inverse(X1)),X2)) = 'double$udivide'(identity,'double$udivide'('double$udivide'(X0,inverse(X3)),inverse(X3))),
inference(demodulation,[status(thm)],[d136,d132]) ).
cnf(d138,plain,
'double$udivide'(X2,multiply(X1,'double$udivide'('double$udivide'(inverse(identity),'double$udivide'(X0,X1)),inverse(X0)))) = 'double$udivide'(identity,'double$udivide'('double$udivide'(X2,inverse(X3)),inverse(X3))),
inference(demodulation,[status(thm)],[d137,d123]) ).
cnf(d139,plain,
'double$udivide'(X2,multiply(X1,'double$udivide'(inverse(X0),'double$udivide'(inverse(identity),'double$udivide'(X0,X1))))) = 'double$udivide'(identity,'double$udivide'('double$udivide'(X2,inverse(X3)),inverse(X3))),
inference(demodulation,[status(thm)],[d138,d128]) ).
cnf(d140,plain,
'double$udivide'(X0,multiply(X1,'double$udivide'(inverse(X2),'double$udivide'(identity,'double$udivide'(X2,X1))))) = 'double$udivide'(identity,'double$udivide'('double$udivide'(X0,inverse(X3)),inverse(X3))),
inference(demodulation,[status(thm)],[d139,d27]) ).
cnf(d141,plain,
'double$udivide'(X2,multiply(X1,'double$udivide'(inverse(X0),inverse('double$udivide'(X0,X1))))) = 'double$udivide'(identity,'double$udivide'('double$udivide'(X2,inverse(X3)),inverse(X3))),
inference(demodulation,[status(thm)],[d140,d107]) ).
cnf(d142,plain,
'double$udivide'(X2,multiply(X1,'double$udivide'(inverse(X0),multiply(X1,X0)))) = 'double$udivide'(identity,'double$udivide'('double$udivide'(X2,inverse(X3)),inverse(X3))),
inference(demodulation,[status(thm)],[d141,d0]) ).
cnf(d143,plain,
'double$udivide'(X0,multiply(X2,'double$udivide'(inverse(X3),multiply(X2,X3)))) = inverse('double$udivide'('double$udivide'(X0,inverse(X1)),inverse(X1))),
inference(demodulation,[status(thm)],[d142,d107]) ).
cnf(d144,plain,
'double$udivide'(X0,multiply(X2,'double$udivide'(inverse(X3),multiply(X2,X3)))) = multiply(inverse(X1),'double$udivide'(X0,inverse(X1))),
inference(demodulation,[status(thm)],[d143,d0]) ).
cnf(d145,plain,
'double$udivide'(X1,multiply(X2,'double$udivide'(inverse(X3),multiply(X2,X3)))) = inverse(X1),
inference(demodulation,[status(thm)],[d144,d134]) ).
cnf(d146,plain,
identity = inverse('double$udivide'('double$udivide'(inverse(X0),multiply(X1,X0)),X1)),
inference(superposition,[status(thm)],[d145,d133]) ).
cnf(d147,plain,
identity = multiply(X1,'double$udivide'(inverse(X0),multiply(X1,X0))),
inference(demodulation,[status(thm)],[d146,d0]) ).
cnf(d148,plain,
'double$udivide'('double$udivide'(inverse(X1),multiply(X0,X1)),X0) = inverse(identity),
inference(superposition,[status(thm)],[d147,d92]) ).
cnf(d149,plain,
'double$udivide'(X1,'double$udivide'(inverse(X0),multiply(X1,X0))) = inverse(identity),
inference(demodulation,[status(thm)],[d148,d128]) ).
cnf(d150,plain,
'double$udivide'(X0,'double$udivide'(inverse(X1),multiply(X0,X1))) = identity,
inference(demodulation,[status(thm)],[d149,d27]) ).
cnf(d151,plain,
'double$udivide'(inverse(X1),multiply(X0,X1)) = 'double$udivide'(X0,identity),
inference(superposition,[status(thm)],[d150,d132]) ).
cnf(d152,plain,
'double$udivide'(inverse(X1),multiply(X0,X1)) = inverse(X0),
inference(demodulation,[status(thm)],[d151,c2]) ).
cnf(d153,plain,
multiply(X1,X0) = 'double$udivide'(inverse(X0),inverse(X1)),
inference(superposition,[status(thm)],[d152,d132]) ).
cnf(d154,plain,
multiply(X2,multiply(X0,X1)) = 'double$udivide'('double$udivide'(X1,X0),inverse(X2)),
inference(superposition,[status(thm)],[d124,d153]) ).
cnf(d155,plain,
'double$udivide'(X0,X1) = inverse(multiply(X0,X1)),
inference(superposition,[status(thm)],[d122,d88]) ).
cnf(d156,plain,
multiply(X2,multiply(X0,X1)) = 'double$udivide'('double$udivide'(X0,X1),inverse(X2)),
inference(superposition,[status(thm)],[d155,d153]) ).
cnf(d157,plain,
multiply(X2,multiply(X1,X0)) = multiply(X2,multiply(X0,X1)),
inference(superposition,[status(thm)],[d156,d154]) ).
cnf(d158,plain,
multiply(multiply(X0,X1),X2) = 'double$udivide'(inverse(X2),'double$udivide'(X1,X0)),
inference(superposition,[status(thm)],[d124,d153]) ).
cnf(d159,plain,
X0 = multiply(X0,identity),
inference(demodulation,[status(thm)],[d30,d87]) ).
cnf(d160,plain,
'double$udivide'('double$udivide'(X2,'double$udivide'('double$udivide'(X3,'double$udivide'('double$udivide'(X0,X1),X2)),multiply(X1,X0))),inverse(identity)) = X3,
inference(superposition,[status(thm)],[d0,d3]) ).
cnf(d161,plain,
'double$udivide'('double$udivide'(identity,'double$udivide'(X1,inverse(identity))),inverse(identity)) = 'double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'('double$udivide'(X2,X3),X0)),multiply(X3,X2))),
inference(superposition,[status(thm)],[d160,d4]) ).
cnf(d162,plain,
'double$udivide'(inverse(identity),'double$udivide'(identity,'double$udivide'(X0,inverse(identity)))) = 'double$udivide'(X1,'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X2,X3),X1)),multiply(X3,X2))),
inference(demodulation,[status(thm)],[d161,d128]) ).
cnf(d163,plain,
'double$udivide'(identity,'double$udivide'(identity,'double$udivide'(X0,inverse(identity)))) = 'double$udivide'(X1,'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X2,X3),X1)),multiply(X3,X2))),
inference(demodulation,[status(thm)],[d162,d27]) ).
cnf(d164,plain,
inverse('double$udivide'(identity,'double$udivide'(X0,inverse(identity)))) = 'double$udivide'(X1,'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X2,X3),X1)),multiply(X3,X2))),
inference(demodulation,[status(thm)],[d163,d107]) ).
cnf(d165,plain,
multiply('double$udivide'(X0,inverse(identity)),identity) = 'double$udivide'(X1,'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X2,X3),X1)),multiply(X3,X2))),
inference(demodulation,[status(thm)],[d164,d0]) ).
cnf(d166,plain,
'double$udivide'(X0,inverse(identity)) = 'double$udivide'(X1,'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X2,X3),X1)),multiply(X3,X2))),
inference(demodulation,[status(thm)],[d165,d159]) ).
cnf(d167,plain,
'double$udivide'(X0,identity) = 'double$udivide'(X1,'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X2,X3),X1)),multiply(X3,X2))),
inference(demodulation,[status(thm)],[d166,d27]) ).
cnf(d168,plain,
inverse(X0) = 'double$udivide'(X1,'double$udivide'('double$udivide'(X0,'double$udivide'('double$udivide'(X2,X3),X1)),multiply(X3,X2))),
inference(demodulation,[status(thm)],[d167,c2]) ).
cnf(d169,plain,
inverse(X0) = 'double$udivide'(X3,'double$udivide'(multiply(X2,X1),'double$udivide'(X0,'double$udivide'('double$udivide'(X1,X2),X3)))),
inference(demodulation,[status(thm)],[d168,d128]) ).
cnf(d170,plain,
'double$udivide'('double$udivide'(X4,'double$udivide'('double$udivide'(X5,'double$udivide'(X1,X4)),multiply(inverse(identity),'double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'('double$udivide'(X2,X3),X0)),multiply(X3,X2)))))),inverse(identity)) = X5,
inference(superposition,[status(thm)],[d160,d160]) ).
cnf(d171,plain,
'double$udivide'(inverse(identity),'double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X2,X0)),multiply(inverse(identity),'double$udivide'(X3,'double$udivide'('double$udivide'(X2,'double$udivide'('double$udivide'(X4,X5),X3)),multiply(X5,X4))))))) = X1,
inference(demodulation,[status(thm)],[d170,d128]) ).
cnf(d172,plain,
'double$udivide'(identity,'double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X2,X0)),multiply(inverse(identity),'double$udivide'(X3,'double$udivide'('double$udivide'(X2,'double$udivide'('double$udivide'(X4,X5),X3)),multiply(X5,X4))))))) = X1,
inference(demodulation,[status(thm)],[d171,d27]) ).
cnf(d173,plain,
inverse('double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X2,X0)),multiply(inverse(identity),'double$udivide'(X3,'double$udivide'('double$udivide'(X2,'double$udivide'('double$udivide'(X4,X5),X3)),multiply(X5,X4))))))) = X1,
inference(demodulation,[status(thm)],[d172,d107]) ).
cnf(d174,plain,
multiply('double$udivide'('double$udivide'(X1,'double$udivide'(X2,X0)),multiply(inverse(identity),'double$udivide'(X3,'double$udivide'('double$udivide'(X2,'double$udivide'('double$udivide'(X4,X5),X3)),multiply(X5,X4))))),X0) = X1,
inference(demodulation,[status(thm)],[d173,d0]) ).
cnf(d175,plain,
multiply(X2,'double$udivide'('double$udivide'(X0,'double$udivide'(X1,X2)),multiply(inverse(identity),'double$udivide'(X3,'double$udivide'('double$udivide'(X1,'double$udivide'('double$udivide'(X4,X5),X3)),multiply(X5,X4)))))) = X0,
inference(demodulation,[status(thm)],[d174,d123]) ).
cnf(d176,plain,
multiply(X0,'double$udivide'('double$udivide'(X1,'double$udivide'(X2,X0)),multiply(identity,'double$udivide'(X3,'double$udivide'('double$udivide'(X2,'double$udivide'('double$udivide'(X4,X5),X3)),multiply(X5,X4)))))) = X1,
inference(demodulation,[status(thm)],[d175,d27]) ).
cnf(d177,plain,
multiply(X4,'double$udivide'('double$udivide'(X5,'double$udivide'(X1,X4)),'double$udivide'(X0,'double$udivide'('double$udivide'(X1,'double$udivide'('double$udivide'(X2,X3),X0)),multiply(X3,X2))))) = X5,
inference(demodulation,[status(thm)],[d176,d87]) ).
cnf(d178,plain,
multiply(X4,'double$udivide'('double$udivide'(X5,'double$udivide'(X0,X4)),'double$udivide'(X3,'double$udivide'(multiply(X2,X1),'double$udivide'(X0,'double$udivide'('double$udivide'(X1,X2),X3)))))) = X5,
inference(demodulation,[status(thm)],[d177,d128]) ).
cnf(d179,plain,
multiply(X4,'double$udivide'('double$udivide'(X5,'double$udivide'(X3,X4)),inverse(X3))) = X5,
inference(demodulation,[status(thm)],[d178,d169]) ).
cnf(d180,plain,
multiply(X2,'double$udivide'(inverse(X1),'double$udivide'(X0,'double$udivide'(X1,X2)))) = X0,
inference(demodulation,[status(thm)],[d179,d128]) ).
cnf(d181,plain,
multiply(X1,'double$udivide'(inverse(X0),'double$udivide'(X2,'double$udivide'(X1,X0)))) = X2,
inference(superposition,[status(thm)],[d128,d180]) ).
cnf(d182,plain,
multiply(X2,multiply(multiply('double$udivide'(X2,X0),X1),X0)) = X1,
inference(demodulation,[status(thm)],[d181,d158]) ).
cnf(d183,plain,
multiply(X0,multiply(X1,multiply('double$udivide'(X0,X1),X2))) = X2,
inference(demodulation,[status(thm)],[d182,d157]) ).
cnf(d184,plain,
'double$udivide'(inverse(X1),inverse(X0)) = multiply(X1,X0),
inference(superposition,[status(thm)],[d153,d128]) ).
cnf(d185,plain,
'double$udivide'('double$udivide'(multiply(identity,'double$udivide'(X0,X1)),'double$udivide'(inverse(X2),inverse(multiply(X1,X0)))),inverse(identity)) = X2,
inference(superposition,[status(thm)],[d18,d14]) ).
cnf(d186,plain,
multiply(identity,multiply(multiply(identity,'double$udivide'(X0,X1)),'double$udivide'(inverse(X2),inverse(multiply(X1,X0))))) = X2,
inference(demodulation,[status(thm)],[d185,d156]) ).
cnf(d187,plain,
multiply(multiply(identity,'double$udivide'(X0,X1)),'double$udivide'(inverse(X2),inverse(multiply(X1,X0)))) = X2,
inference(demodulation,[status(thm)],[d186,d87]) ).
cnf(d188,plain,
multiply('double$udivide'(X0,X1),'double$udivide'(inverse(X2),inverse(multiply(X1,X0)))) = X2,
inference(demodulation,[status(thm)],[d187,d87]) ).
cnf(d189,plain,
multiply('double$udivide'(X2,X1),multiply(X0,multiply(X1,X2))) = X0,
inference(demodulation,[status(thm)],[d188,d184]) ).
cnf(d190,plain,
multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X1,X0)),
inference(superposition,[status(thm)],[d189,d183]) ).
cnf(d191,plain,
multiply('double$udivide'(X1,X0),'double$udivide'(inverse(X0),'double$udivide'(X2,X1))) = X2,
inference(superposition,[status(thm)],[d130,d180]) ).
cnf(d192,plain,
multiply('double$udivide'(X2,X0),multiply(multiply(X2,X1),X0)) = X1,
inference(demodulation,[status(thm)],[d191,d158]) ).
cnf(d193,plain,
multiply('double$udivide'(X0,X1),multiply(X1,multiply(X0,X2))) = X2,
inference(superposition,[status(thm)],[d192,d157]) ).
cnf(d194,plain,
multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,X2)),
inference(superposition,[status(thm)],[d193,d183]) ).
cnf(d195,plain,
multiply(multiply(X1,X2),X0) = multiply(X0,multiply(X2,X1)),
inference(superposition,[status(thm)],[d157,d123]) ).
cnf(d196,plain,
( multiply(a4,b4) != multiply(b4,a4)
| inverse(identity) != identity
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(identity,a2) != a2 ),
inference(demodulation,[status(thm)],[c4,d1]) ).
cnf(d197,plain,
( multiply(a4,b4) != multiply(b4,a4)
| identity != identity
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(identity,a2) != a2 ),
inference(demodulation,[status(thm)],[d196,d27]) ).
cnf(d198,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != a2
| identity != identity ),
inference(demodulation,[status(thm)],[d197,d87]) ).
cnf(d199,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(c3,multiply(b3,a3)) != multiply(a3,multiply(b3,c3))
| a2 != a2
| identity != identity ),
inference(demodulation,[status(thm)],[d198,d195]) ).
cnf(d200,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(b3,multiply(c3,a3)) != multiply(a3,multiply(b3,c3))
| a2 != a2
| identity != identity ),
inference(demodulation,[status(thm)],[d199,d194]) ).
cnf(d201,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3))
| a2 != a2
| identity != identity ),
inference(demodulation,[status(thm)],[d200,d190]) ).
cnf(d202,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| a2 != a2
| identity != identity ),
inference(demodulation,[status(thm)],[d201,d157]) ).
cnf(d203,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| a2 != a2
| identity != identity ),
inference(demodulation,[status(thm)],[d202,d123]) ).
cnf(d204,plain,
'double$udivide'('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X1,X2),multiply('double$udivide'('double$udivide'(X2,identity),inverse(inverse(X0))),multiply(identity,X0)))),inverse(identity)) = X1,
inference(superposition,[status(thm)],[d11,d41]) ).
cnf(d205,plain,
'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,identity),inverse(inverse(X2))),multiply(identity,X2)))),inverse(identity)) = X0,
inference(demodulation,[status(thm)],[d204,d27]) ).
cnf(d206,plain,
'double$udivide'(inverse('double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,identity),inverse(inverse(X2))),multiply(identity,X2)))),inverse(identity)) = X0,
inference(demodulation,[status(thm)],[d205,d107]) ).
cnf(d207,plain,
'double$udivide'(multiply(multiply('double$udivide'('double$udivide'(X1,identity),inverse(inverse(X2))),multiply(identity,X2)),'double$udivide'(X0,X1)),inverse(identity)) = X0,
inference(demodulation,[status(thm)],[d206,d0]) ).
cnf(d208,plain,
'double$udivide'(multiply(multiply('double$udivide'(inverse(X0),inverse(inverse(X1))),multiply(identity,X1)),'double$udivide'(X2,X0)),inverse(identity)) = X2,
inference(demodulation,[status(thm)],[d207,c2]) ).
cnf(d209,plain,
'double$udivide'(multiply(multiply('double$udivide'(inverse(X1),X0),multiply(identity,X0)),'double$udivide'(X2,X1)),inverse(identity)) = X2,
inference(demodulation,[status(thm)],[d208,d88]) ).
cnf(d210,plain,
'double$udivide'(multiply(multiply('double$udivide'(inverse(X1),X0),X0),'double$udivide'(X2,X1)),inverse(identity)) = X2,
inference(demodulation,[status(thm)],[d209,d87]) ).
cnf(d211,plain,
'double$udivide'(multiply(multiply('double$udivide'(inverse(X0),X1),X1),'double$udivide'(X2,X0)),identity) = X2,
inference(demodulation,[status(thm)],[d210,d27]) ).
cnf(d212,plain,
inverse(multiply(multiply('double$udivide'(inverse(X0),X1),X1),'double$udivide'(X2,X0))) = X2,
inference(demodulation,[status(thm)],[d211,c2]) ).
cnf(d213,plain,
'double$udivide'('double$udivide'(inverse(identity),'double$udivide'('double$udivide'(X2,X3),multiply('double$udivide'('double$udivide'(X3,identity),inverse('double$udivide'(X0,X1))),multiply(X1,X0)))),inverse(identity)) = X2,
inference(superposition,[status(thm)],[d133,d41]) ).
cnf(d214,plain,
'double$udivide'('double$udivide'(identity,'double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,identity),inverse('double$udivide'(X2,X3))),multiply(X3,X2)))),inverse(identity)) = X0,
inference(demodulation,[status(thm)],[d213,d27]) ).
cnf(d215,plain,
'double$udivide'(inverse('double$udivide'('double$udivide'(X0,X1),multiply('double$udivide'('double$udivide'(X1,identity),inverse('double$udivide'(X2,X3))),multiply(X3,X2)))),inverse(identity)) = X0,
inference(demodulation,[status(thm)],[d214,d107]) ).
cnf(d216,plain,
'double$udivide'(multiply(multiply('double$udivide'('double$udivide'(X1,identity),inverse('double$udivide'(X2,X3))),multiply(X3,X2)),'double$udivide'(X0,X1)),inverse(identity)) = X0,
inference(demodulation,[status(thm)],[d215,d0]) ).
cnf(d217,plain,
'double$udivide'(multiply(multiply('double$udivide'(inverse(X0),inverse('double$udivide'(X1,X2))),multiply(X2,X1)),'double$udivide'(X3,X0)),inverse(identity)) = X3,
inference(demodulation,[status(thm)],[d216,c2]) ).
cnf(d218,plain,
'double$udivide'(multiply(multiply('double$udivide'(inverse(X2),multiply(X1,X0)),multiply(X1,X0)),'double$udivide'(X3,X2)),inverse(identity)) = X3,
inference(demodulation,[status(thm)],[d217,d0]) ).
cnf(d219,plain,
'double$udivide'(multiply(multiply('double$udivide'(inverse(X0),multiply(X1,X2)),multiply(X1,X2)),'double$udivide'(X3,X0)),identity) = X3,
inference(demodulation,[status(thm)],[d218,d27]) ).
cnf(d220,plain,
inverse(multiply(multiply('double$udivide'(inverse(X0),multiply(X1,X2)),multiply(X1,X2)),'double$udivide'(X3,X0))) = X3,
inference(demodulation,[status(thm)],[d219,c2]) ).
cnf(d221,plain,
X3 = X3,
inference(demodulation,[status(thm)],[d220,d212]) ).
cnf(d222,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| a2 != a2 ),
inference(resolution,[status(thm)],[d221,d203]) ).
cnf(d223,plain,
( a2 != a2
| multiply(a4,b4) != multiply(a4,b4) ),
inference(equality_resolution,[status(thm)],[d222]) ).
cnf(d224,plain,
a2 != a2,
inference(resolution,[status(thm)],[d221,d223]) ).
cnf(d225,plain,
$false,
inference(equality_resolution,[status(thm)],[d224]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP101-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n010.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Fri Sep 25 14:22:48 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 56.79/13.15 % SZS status Unsatisfiable for theBenchmark.p
% 56.79/13.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------