%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP344-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 07:23:37 AM UTC 2026
% Result : Unsatisfiable 240.17s 58.68s
% Output : CNFRefutation 240.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 72
% Number of leaves : 18
% Syntax : Number of clauses : 349 ( 84 unt; 207 nHn; 250 RR)
% Number of literals : 1039 (1038 equ; 459 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 265 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this_1,negated_conjecture,
multiply('sk$uc6','sk$uc7') = 'sk$uc5' ).
cnf(prove_this_2,negated_conjecture,
( multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| inverse('sk$uc1') = 'sk$uc7' ) ).
cnf(prove_this_3,negated_conjecture,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc1') = 'sk$uc7' ) ).
cnf(prove_this_4,negated_conjecture,
( inverse('sk$uc4') = 'sk$uc5'
| inverse('sk$uc1') = 'sk$uc7' ) ).
cnf(prove_this_5,negated_conjecture,
( multiply('sk$uc4','sk$uc6') = 'sk$uc5'
| inverse('sk$uc1') = 'sk$uc7' ) ).
cnf(prove_this_6,negated_conjecture,
( multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| multiply('sk$uc1','sk$uc6') = 'sk$uc7' ) ).
cnf(prove_this_7,negated_conjecture,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc1','sk$uc6') = 'sk$uc7' ) ).
cnf(prove_this_9,negated_conjecture,
( multiply('sk$uc4','sk$uc6') = 'sk$uc5'
| multiply('sk$uc1','sk$uc6') = 'sk$uc7' ) ).
cnf(prove_this_10,negated_conjecture,
( multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| inverse('sk$uc2') = 'sk$uc6' ) ).
cnf(prove_this_11,negated_conjecture,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc2') = 'sk$uc6' ) ).
cnf(prove_this_12,negated_conjecture,
( inverse('sk$uc4') = 'sk$uc5'
| inverse('sk$uc2') = 'sk$uc6' ) ).
cnf(prove_this_14,negated_conjecture,
( multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| multiply('sk$uc2','sk$uc5') = 'sk$uc6' ) ).
cnf(prove_this_15,negated_conjecture,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc2','sk$uc5') = 'sk$uc6' ) ).
cnf(prove_this_16,negated_conjecture,
( inverse('sk$uc4') = 'sk$uc5'
| multiply('sk$uc2','sk$uc5') = 'sk$uc6' ) ).
cnf(prove_this_18,negated_conjecture,
( multiply(X3,'sk$uc6') != 'sk$uc5'
| inverse(X3) != 'sk$uc5'
| inverse(X2) != 'sk$uc6'
| multiply(X2,'sk$uc6') != 'sk$uc7'
| multiply(X1,'sk$uc5') != 'sk$uc6'
| inverse(X1) != 'sk$uc6'
| multiply(X0,'sk$uc6') != 'sk$uc7'
| inverse(X0) != 'sk$uc7'
| multiply('sk$uc6','sk$uc7') != 'sk$uc5' ) ).
cnf(left_identity,axiom,
multiply(identity,X0) = X0 ).
cnf(left_inverse,axiom,
multiply(inverse(X0),X0) = identity ).
cnf(associativity,axiom,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)) ).
cnf(c0,plain,
multiply('sk$uc6','sk$uc7') = 'sk$uc5',
inference(clausification,[status(esa)],[prove_this_1]) ).
cnf(c1,plain,
( multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| inverse('sk$uc1') = 'sk$uc7' ),
inference(clausification,[status(esa)],[prove_this_2]) ).
cnf(c2,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc1') = 'sk$uc7' ),
inference(clausification,[status(esa)],[prove_this_3]) ).
cnf(c3,plain,
( inverse('sk$uc4') = 'sk$uc5'
| inverse('sk$uc1') = 'sk$uc7' ),
inference(clausification,[status(esa)],[prove_this_4]) ).
cnf(c4,plain,
( multiply('sk$uc4','sk$uc6') = 'sk$uc5'
| inverse('sk$uc1') = 'sk$uc7' ),
inference(clausification,[status(esa)],[prove_this_5]) ).
cnf(c5,plain,
( multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| multiply('sk$uc1','sk$uc6') = 'sk$uc7' ),
inference(clausification,[status(esa)],[prove_this_6]) ).
cnf(c6,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc1','sk$uc6') = 'sk$uc7' ),
inference(clausification,[status(esa)],[prove_this_7]) ).
cnf(c8,plain,
( multiply('sk$uc4','sk$uc6') = 'sk$uc5'
| multiply('sk$uc1','sk$uc6') = 'sk$uc7' ),
inference(clausification,[status(esa)],[prove_this_9]) ).
cnf(c9,plain,
( multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| inverse('sk$uc2') = 'sk$uc6' ),
inference(clausification,[status(esa)],[prove_this_10]) ).
cnf(c10,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc2') = 'sk$uc6' ),
inference(clausification,[status(esa)],[prove_this_11]) ).
cnf(c11,plain,
( inverse('sk$uc4') = 'sk$uc5'
| inverse('sk$uc2') = 'sk$uc6' ),
inference(clausification,[status(esa)],[prove_this_12]) ).
cnf(c13,plain,
( multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| multiply('sk$uc2','sk$uc5') = 'sk$uc6' ),
inference(clausification,[status(esa)],[prove_this_14]) ).
cnf(c14,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc2','sk$uc5') = 'sk$uc6' ),
inference(clausification,[status(esa)],[prove_this_15]) ).
cnf(c15,plain,
( inverse('sk$uc4') = 'sk$uc5'
| multiply('sk$uc2','sk$uc5') = 'sk$uc6' ),
inference(clausification,[status(esa)],[prove_this_16]) ).
cnf(c17,plain,
( multiply(X3,'sk$uc6') != 'sk$uc7'
| multiply(X2,'sk$uc5') != 'sk$uc6'
| inverse(X1) != 'sk$uc6'
| multiply('sk$uc6','sk$uc7') != 'sk$uc5'
| inverse(X0) != 'sk$uc5'
| inverse(X3) != 'sk$uc7'
| inverse(X2) != 'sk$uc6'
| multiply(X1,'sk$uc6') != 'sk$uc7'
| multiply(X0,'sk$uc6') != 'sk$uc5' ),
inference(clausification,[status(esa)],[prove_this_18]) ).
cnf(c18,plain,
multiply(identity,X0) = X0,
inference(clausification,[status(esa)],[left_identity]) ).
cnf(c19,plain,
multiply(inverse(X0),X0) = identity,
inference(clausification,[status(esa)],[left_inverse]) ).
cnf(c20,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(clausification,[status(esa)],[associativity]) ).
cnf(d0,plain,
multiply(identity,X1) = multiply(inverse(X0),multiply(X0,X1)),
inference(superposition,[status(thm)],[c19,c20]) ).
cnf(d1,plain,
X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(demodulation,[status(thm)],[d0,c18]) ).
cnf(d2,plain,
multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[status(thm)],[d1,d1]) ).
cnf(d3,plain,
multiply(X0,X1) = multiply(identity,multiply(X0,X1)),
inference(superposition,[status(thm)],[c18,c20]) ).
cnf(d4,plain,
multiply(X0,X1) = multiply(X0,X1),
inference(demodulation,[status(thm)],[d3,c18]) ).
cnf(d5,plain,
identity = multiply(inverse(X0),X0),
inference(superposition,[status(thm)],[c19,d4]) ).
cnf(d6,plain,
X0 = multiply(inverse(inverse(X0)),identity),
inference(superposition,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
X0 = multiply(X0,identity),
inference(demodulation,[status(thm)],[d6,d2]) ).
cnf(d8,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[d7,d2]) ).
cnf(d9,plain,
X0 = inverse(inverse(X0)),
inference(demodulation,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
X0 = multiply(identity,X0),
inference(superposition,[status(thm)],[c18,d4]) ).
cnf(d11,plain,
X0 = multiply(inverse(identity),X0),
inference(superposition,[status(thm)],[d10,d1]) ).
cnf(d12,plain,
X0 = multiply(inverse(inverse(identity)),X0),
inference(superposition,[status(thm)],[d11,d1]) ).
cnf(d13,plain,
identity = inverse(identity),
inference(superposition,[status(thm)],[d12,d5]) ).
cnf(d14,plain,
( inverse(X3) != 'sk$uc6'
| inverse(X2) != 'sk$uc6'
| inverse(X1) != 'sk$uc5'
| inverse(X0) != 'sk$uc7'
| 'sk$uc5' != 'sk$uc5'
| multiply(X3,'sk$uc6') != 'sk$uc7'
| multiply(X2,'sk$uc5') != 'sk$uc6'
| multiply(X1,'sk$uc6') != 'sk$uc5'
| multiply(X0,'sk$uc6') != 'sk$uc7' ),
inference(demodulation,[status(thm)],[c17,c0]) ).
cnf(d15,plain,
( inverse(X2) != 'sk$uc6'
| inverse(X1) != 'sk$uc6'
| inverse(X0) != 'sk$uc5'
| inverse(identity) != 'sk$uc7'
| 'sk$uc5' != 'sk$uc5'
| multiply(X2,'sk$uc6') != 'sk$uc7'
| multiply(X1,'sk$uc5') != 'sk$uc6'
| multiply(X0,'sk$uc6') != 'sk$uc5'
| 'sk$uc6' != 'sk$uc7' ),
inference(superposition,[status(thm)],[c18,d14]) ).
cnf(d16,plain,
( inverse(identity) != 'sk$uc7'
| inverse(identity) != 'sk$uc5'
| inverse(X1) != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc7'
| multiply(X1,'sk$uc5') != 'sk$uc6'
| multiply(X0,'sk$uc6') != 'sk$uc7'
| 'sk$uc6' != 'sk$uc5' ),
inference(superposition,[status(thm)],[d10,d15]) ).
cnf(d17,plain,
( inverse(identity) != 'sk$uc5'
| identity != 'sk$uc7'
| inverse(X1) != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc7'
| multiply(X1,'sk$uc6') != 'sk$uc7'
| multiply(X0,'sk$uc5') != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d16,d13]) ).
cnf(d18,plain,
( identity != 'sk$uc5'
| identity != 'sk$uc7'
| inverse(X1) != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc7'
| multiply(X1,'sk$uc6') != 'sk$uc7'
| multiply(X0,'sk$uc5') != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d17,d13]) ).
cnf(d19,plain,
'sk$uc5' = multiply('sk$uc6','sk$uc7'),
inference(superposition,[status(thm)],[c0,d4]) ).
cnf(d20,plain,
'sk$uc7' = multiply(inverse('sk$uc6'),'sk$uc5'),
inference(superposition,[status(thm)],[d19,d1]) ).
cnf(d21,plain,
( identity != 'sk$uc5'
| identity != 'sk$uc7'
| inverse(X0) != 'sk$uc6'
| inverse(inverse('sk$uc6')) != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc7'
| multiply(X0,'sk$uc6') != 'sk$uc7'
| 'sk$uc7' != 'sk$uc6' ),
inference(superposition,[status(thm)],[d20,d18]) ).
cnf(d22,plain,
( identity != 'sk$uc5'
| identity != 'sk$uc7'
| 'sk$uc6' != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc7' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc7'
| multiply(X0,'sk$uc6') != 'sk$uc7' ),
inference(demodulation,[status(thm)],[d21,d9]) ).
cnf(d23,plain,
multiply('sk$uc5',X0) = multiply('sk$uc6',multiply('sk$uc7',X0)),
inference(superposition,[status(thm)],[c0,c20]) ).
cnf(d24,plain,
multiply('sk$uc6',multiply('sk$uc7',X0)) = multiply('sk$uc5',X0),
inference(superposition,[status(thm)],[d23,d4]) ).
cnf(d25,plain,
multiply('sk$uc6','sk$uc7') = multiply('sk$uc5',identity),
inference(superposition,[status(thm)],[d7,d24]) ).
cnf(d26,plain,
'sk$uc5' = multiply('sk$uc5',identity),
inference(demodulation,[status(thm)],[d25,c0]) ).
cnf(d27,plain,
'sk$uc5' = 'sk$uc5',
inference(demodulation,[status(thm)],[d26,d7]) ).
cnf(d28,plain,
( identity != 'sk$uc5'
| identity != 'sk$uc7'
| 'sk$uc6' != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| 'sk$uc7' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc7'
| multiply(X0,'sk$uc6') != 'sk$uc7' ),
inference(resolution,[status(thm)],[d27,d22]) ).
cnf(d29,plain,
identity = multiply(X0,inverse(X0)),
inference(superposition,[status(thm)],[d2,d5]) ).
cnf(d30,plain,
multiply('sk$uc6',identity) = multiply('sk$uc5',inverse('sk$uc7')),
inference(superposition,[status(thm)],[d29,d24]) ).
cnf(d31,plain,
'sk$uc6' = multiply('sk$uc5',inverse('sk$uc7')),
inference(demodulation,[status(thm)],[d30,d7]) ).
cnf(d32,plain,
multiply('sk$uc5',inverse('sk$uc7')) = multiply('sk$uc6',identity),
inference(superposition,[status(thm)],[d29,d23]) ).
cnf(d33,plain,
'sk$uc6' = multiply('sk$uc6',identity),
inference(demodulation,[status(thm)],[d32,d31]) ).
cnf(d34,plain,
'sk$uc6' = 'sk$uc6',
inference(demodulation,[status(thm)],[d33,d7]) ).
cnf(d35,plain,
( identity != 'sk$uc5'
| identity != 'sk$uc7'
| inverse(X0) != 'sk$uc6'
| 'sk$uc7' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc7'
| multiply(X0,'sk$uc6') != 'sk$uc7' ),
inference(resolution,[status(thm)],[d34,d28]) ).
cnf(d36,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc6','sk$uc2') = identity ),
inference(superposition,[status(thm)],[c10,c19]) ).
cnf(d37,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply(identity,X0) = multiply('sk$uc6',multiply('sk$uc2',X0)) ),
inference(superposition,[status(thm)],[d36,c20]) ).
cnf(d38,plain,
( inverse('sk$uc3') = 'sk$uc6'
| X0 = multiply('sk$uc6',multiply('sk$uc2',X0)) ),
inference(demodulation,[status(thm)],[d37,c18]) ).
cnf(d39,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| 'sk$uc5' = multiply('sk$uc6','sk$uc6') ),
inference(superposition,[status(thm)],[c14,d38]) ).
cnf(d40,plain,
( inverse('sk$uc3') = 'sk$uc6'
| identity != 'sk$uc5'
| identity != 'sk$uc7'
| inverse('sk$uc6') != 'sk$uc6'
| 'sk$uc7' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc7'
| 'sk$uc5' != 'sk$uc7' ),
inference(superposition,[status(thm)],[d39,d35]) ).
cnf(d41,plain,
multiply(inverse('sk$uc6'),'sk$uc5') = 'sk$uc7',
inference(superposition,[status(thm)],[d20,d4]) ).
cnf(d42,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc2',X0) = multiply(inverse('sk$uc6'),X0) ),
inference(superposition,[status(thm)],[d38,d1]) ).
cnf(d43,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc2','sk$uc5') = 'sk$uc7' ),
inference(superposition,[status(thm)],[d42,d41]) ).
cnf(d44,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| 'sk$uc7' = 'sk$uc6' ),
inference(superposition,[status(thm)],[d43,c14]) ).
cnf(d45,plain,
( identity != 'sk$uc5'
| identity != 'sk$uc7'
| inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc6') != 'sk$uc6'
| 'sk$uc5' != 'sk$uc7'
| 'sk$uc6' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc7'
| inverse('sk$uc3') = 'sk$uc6' ),
inference(resolution,[status(thm)],[d44,d40]) ).
cnf(d46,plain,
( inverse('sk$uc3') = 'sk$uc6'
| 'sk$uc6' = multiply('sk$uc2','sk$uc5') ),
inference(superposition,[status(thm)],[c14,d4]) ).
cnf(d47,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| 'sk$uc6' = 'sk$uc7' ),
inference(superposition,[status(thm)],[d43,d46]) ).
cnf(d48,plain,
( identity != 'sk$uc5'
| identity != 'sk$uc7'
| inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc6') != 'sk$uc6'
| 'sk$uc5' != 'sk$uc7'
| 'sk$uc6' != 'sk$uc5'
| inverse('sk$uc3') = 'sk$uc6' ),
inference(resolution,[status(thm)],[d47,d45]) ).
cnf(d49,plain,
multiply('sk$uc7',X0) = multiply(inverse('sk$uc6'),multiply('sk$uc5',X0)),
inference(superposition,[status(thm)],[d23,d1]) ).
cnf(d50,plain,
X2 = multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))),
inference(superposition,[status(thm)],[c20,d1]) ).
cnf(d51,plain,
X1 = multiply(X0,multiply(inverse(X0),X1)),
inference(superposition,[status(thm)],[d2,d1]) ).
cnf(d52,plain,
multiply(inverse(X0),X1) = multiply(inverse(multiply(X2,X0)),multiply(X2,X1)),
inference(superposition,[status(thm)],[d51,d50]) ).
cnf(d53,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc6',X0) = multiply('sk$uc2',multiply('sk$uc5',X0)) ),
inference(superposition,[status(thm)],[c14,c20]) ).
cnf(d54,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc5',X0) = multiply('sk$uc6',multiply('sk$uc6',X0)) ),
inference(superposition,[status(thm)],[d53,d38]) ).
cnf(d55,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc6',X0) = multiply(inverse(multiply(X1,'sk$uc6')),multiply(X1,multiply('sk$uc5',X0))) ),
inference(superposition,[status(thm)],[d54,d50]) ).
cnf(d56,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc6',X1) = multiply(inverse('sk$uc6'),multiply('sk$uc5',X1)) ),
inference(demodulation,[status(thm)],[d55,d52]) ).
cnf(d57,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc6',X0) = multiply('sk$uc7',X0) ),
inference(demodulation,[status(thm)],[d56,d49]) ).
cnf(d58,plain,
multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(superposition,[status(thm)],[c20,d4]) ).
cnf(d59,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(superposition,[status(thm)],[d1,d4]) ).
cnf(d60,plain,
multiply(inverse('sk$uc5'),'sk$uc6') = inverse('sk$uc7'),
inference(superposition,[status(thm)],[d31,d59]) ).
cnf(d61,plain,
multiply(inverse('sk$uc5'),multiply('sk$uc6',X0)) = multiply(inverse('sk$uc7'),X0),
inference(superposition,[status(thm)],[d60,d58]) ).
cnf(d62,plain,
( inverse('sk$uc3') = 'sk$uc6'
| X0 = multiply(inverse('sk$uc5'),multiply('sk$uc6',multiply('sk$uc6',X0))) ),
inference(superposition,[status(thm)],[d39,d50]) ).
cnf(d63,plain,
( inverse('sk$uc3') = 'sk$uc6'
| X0 = multiply(inverse('sk$uc7'),multiply('sk$uc6',X0)) ),
inference(demodulation,[status(thm)],[d62,d61]) ).
cnf(d64,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc7','sk$uc1') = identity ),
inference(superposition,[status(thm)],[c2,c19]) ).
cnf(d65,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply(identity,X0) = multiply('sk$uc7',multiply('sk$uc1',X0)) ),
inference(superposition,[status(thm)],[d64,c20]) ).
cnf(d66,plain,
( inverse('sk$uc3') = 'sk$uc6'
| X0 = multiply('sk$uc7',multiply('sk$uc1',X0)) ),
inference(demodulation,[status(thm)],[d65,c18]) ).
cnf(d67,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc7',X0) = multiply('sk$uc1',multiply('sk$uc6',X0)) ),
inference(superposition,[status(thm)],[c6,c20]) ).
cnf(d68,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc6',X0) = multiply('sk$uc7',multiply('sk$uc7',X0)) ),
inference(superposition,[status(thm)],[d67,d66]) ).
cnf(d69,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply(inverse('sk$uc7'),multiply('sk$uc6',X0)) = multiply('sk$uc7',X0) ),
inference(superposition,[status(thm)],[d68,d59]) ).
cnf(d70,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| X0 = multiply('sk$uc7',X0) ),
inference(superposition,[status(thm)],[d69,d63]) ).
cnf(d71,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc6',X0) = X0 ),
inference(superposition,[status(thm)],[d70,d57]) ).
cnf(d72,plain,
( inverse('sk$uc3') = 'sk$uc6'
| 'sk$uc5' = 'sk$uc7' ),
inference(superposition,[status(thm)],[d71,d19]) ).
cnf(d73,plain,
( identity != 'sk$uc5'
| identity != 'sk$uc7'
| inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc6') != 'sk$uc6'
| 'sk$uc6' != 'sk$uc5'
| inverse('sk$uc3') = 'sk$uc6' ),
inference(resolution,[status(thm)],[d72,d48]) ).
cnf(d74,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| 'sk$uc6' = multiply('sk$uc7','sk$uc7') ),
inference(superposition,[status(thm)],[c6,d66]) ).
cnf(d75,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply(inverse('sk$uc6'),multiply('sk$uc5',X0)) = multiply('sk$uc6',X0) ),
inference(superposition,[status(thm)],[d54,d59]) ).
cnf(d76,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc7',X0) = multiply('sk$uc6',X0) ),
inference(demodulation,[status(thm)],[d75,d49]) ).
cnf(d77,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| 'sk$uc6' = multiply('sk$uc6','sk$uc7') ),
inference(superposition,[status(thm)],[d76,d74]) ).
cnf(d78,plain,
( inverse('sk$uc3') = 'sk$uc6'
| 'sk$uc6' = 'sk$uc5' ),
inference(demodulation,[status(thm)],[d77,c0]) ).
cnf(d79,plain,
( identity != 'sk$uc5'
| identity != 'sk$uc7'
| inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc6') != 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6' ),
inference(resolution,[status(thm)],[d78,d73]) ).
cnf(d80,plain,
( inverse('sk$uc3') = 'sk$uc6'
| identity = multiply('sk$uc2','sk$uc6') ),
inference(superposition,[status(thm)],[c10,d29]) ).
cnf(d81,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc5','sk$uc1') = multiply('sk$uc6',identity) ),
inference(superposition,[status(thm)],[d64,d23]) ).
cnf(d82,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc6','sk$uc1') = multiply('sk$uc2',multiply('sk$uc6',identity)) ),
inference(superposition,[status(thm)],[d81,d53]) ).
cnf(d83,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc6','sk$uc1') = multiply('sk$uc2','sk$uc6') ),
inference(demodulation,[status(thm)],[d82,d7]) ).
cnf(d84,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| identity = multiply('sk$uc6','sk$uc1') ),
inference(superposition,[status(thm)],[d83,d80]) ).
cnf(d85,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc6','sk$uc1') = multiply('sk$uc7',identity) ),
inference(superposition,[status(thm)],[d64,d68]) ).
cnf(d86,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc6','sk$uc1') = 'sk$uc7' ),
inference(demodulation,[status(thm)],[d85,d7]) ).
cnf(d87,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| identity = 'sk$uc7' ),
inference(superposition,[status(thm)],[d86,d84]) ).
cnf(d88,plain,
( identity != 'sk$uc5'
| inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc6') != 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6' ),
inference(resolution,[status(thm)],[d87,d79]) ).
cnf(d89,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc6',X0) = multiply(inverse('sk$uc1'),multiply('sk$uc7',X0)) ),
inference(superposition,[status(thm)],[d67,d1]) ).
cnf(d90,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc6','sk$uc1') = multiply(inverse('sk$uc1'),identity) ),
inference(superposition,[status(thm)],[d64,d89]) ).
cnf(d91,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc6','sk$uc1') = inverse('sk$uc1') ),
inference(demodulation,[status(thm)],[d90,d7]) ).
cnf(d92,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| identity = inverse('sk$uc1') ),
inference(superposition,[status(thm)],[d91,d84]) ).
cnf(d93,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc5',multiply('sk$uc1',X0)) = multiply('sk$uc6',X0) ),
inference(superposition,[status(thm)],[d66,d23]) ).
cnf(d94,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[d2,c19]) ).
cnf(d95,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc5',identity) = multiply('sk$uc6',inverse('sk$uc1')) ),
inference(superposition,[status(thm)],[d94,d93]) ).
cnf(d96,plain,
( inverse('sk$uc3') = 'sk$uc6'
| 'sk$uc5' = multiply('sk$uc6',inverse('sk$uc1')) ),
inference(demodulation,[status(thm)],[d95,d7]) ).
cnf(d97,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| 'sk$uc5' = inverse('sk$uc1') ),
inference(superposition,[status(thm)],[d71,d96]) ).
cnf(d98,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| identity = 'sk$uc5' ),
inference(superposition,[status(thm)],[d97,d92]) ).
cnf(d99,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc6') != 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6' ),
inference(resolution,[status(thm)],[d98,d88]) ).
cnf(d100,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[d2,d59]) ).
cnf(d101,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc1',multiply('sk$uc7',X0)) = X0 ),
inference(superposition,[status(thm)],[c2,d100]) ).
cnf(d102,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc1',multiply('sk$uc6',X0)) = multiply('sk$uc7',X0) ),
inference(superposition,[status(thm)],[d67,d4]) ).
cnf(d103,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc1','sk$uc5') = multiply('sk$uc7','sk$uc6') ),
inference(superposition,[status(thm)],[d39,d102]) ).
cnf(d104,plain,
( inverse('sk$uc3') = 'sk$uc6'
| X0 = multiply('sk$uc1',multiply('sk$uc7',X0)) ),
inference(superposition,[status(thm)],[c2,d51]) ).
cnf(d105,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc7','sk$uc7') = multiply('sk$uc1','sk$uc5') ),
inference(superposition,[status(thm)],[d19,d67]) ).
cnf(d106,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| 'sk$uc5' = multiply('sk$uc7',multiply('sk$uc7','sk$uc7')) ),
inference(superposition,[status(thm)],[d105,d66]) ).
cnf(d107,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc7',multiply('sk$uc2',X0)) = multiply('sk$uc1',X0) ),
inference(superposition,[status(thm)],[d38,d67]) ).
cnf(d108,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc7',identity) = multiply('sk$uc1',inverse('sk$uc2')) ),
inference(superposition,[status(thm)],[d94,d107]) ).
cnf(d109,plain,
( inverse('sk$uc3') = 'sk$uc6'
| 'sk$uc7' = multiply('sk$uc1',inverse('sk$uc2')) ),
inference(demodulation,[status(thm)],[d108,d7]) ).
cnf(d110,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply(inverse('sk$uc2'),multiply('sk$uc6',X0)) = multiply('sk$uc5',X0) ),
inference(superposition,[status(thm)],[d53,d59]) ).
cnf(d111,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| multiply(inverse('sk$uc2'),identity) = multiply('sk$uc5','sk$uc2') ),
inference(superposition,[status(thm)],[d36,d110]) ).
cnf(d112,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc2') = multiply('sk$uc5','sk$uc2') ),
inference(demodulation,[status(thm)],[d111,d7]) ).
cnf(d113,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply(inverse('sk$uc7'),X0) = multiply('sk$uc1',X0) ),
inference(superposition,[status(thm)],[d66,d59]) ).
cnf(d114,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc7','sk$uc2') = multiply('sk$uc1',identity) ),
inference(superposition,[status(thm)],[d36,d67]) ).
cnf(d115,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc7','sk$uc2') = 'sk$uc1' ),
inference(demodulation,[status(thm)],[d114,d7]) ).
cnf(d116,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply(inverse('sk$uc7'),'sk$uc1') = 'sk$uc2' ),
inference(superposition,[status(thm)],[d115,d59]) ).
cnf(d117,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| 'sk$uc2' = multiply('sk$uc1','sk$uc1') ),
inference(superposition,[status(thm)],[d116,d113]) ).
cnf(d118,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply(inverse('sk$uc1'),'sk$uc2') = 'sk$uc1' ),
inference(superposition,[status(thm)],[d117,d59]) ).
cnf(d119,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply(multiply('sk$uc6',identity),X0) = multiply('sk$uc5',multiply('sk$uc1',X0)) ),
inference(superposition,[status(thm)],[d81,c20]) ).
cnf(d120,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc6',multiply(identity,X0)) = multiply('sk$uc5',multiply('sk$uc1',X0)) ),
inference(demodulation,[status(thm)],[d119,c20]) ).
cnf(d121,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc6',X0) = multiply('sk$uc5',multiply('sk$uc1',X0)) ),
inference(demodulation,[status(thm)],[d120,c18]) ).
cnf(d122,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc6',inverse('sk$uc1')) = multiply('sk$uc5',identity) ),
inference(superposition,[status(thm)],[d94,d121]) ).
cnf(d123,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc6',inverse('sk$uc1')) = 'sk$uc5' ),
inference(demodulation,[status(thm)],[d122,d7]) ).
cnf(d124,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc1') = 'sk$uc5' ),
inference(superposition,[status(thm)],[d71,d123]) ).
cnf(d125,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc5','sk$uc2') = 'sk$uc1' ),
inference(superposition,[status(thm)],[d124,d118]) ).
cnf(d126,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc2') = 'sk$uc1' ),
inference(superposition,[status(thm)],[d125,d112]) ).
cnf(d127,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| 'sk$uc7' = multiply('sk$uc1','sk$uc1') ),
inference(superposition,[status(thm)],[d126,d109]) ).
cnf(d128,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| 'sk$uc1' = multiply('sk$uc7','sk$uc7') ),
inference(superposition,[status(thm)],[d127,d66]) ).
cnf(d129,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| 'sk$uc5' = multiply('sk$uc7','sk$uc1') ),
inference(superposition,[status(thm)],[d128,d106]) ).
cnf(d130,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| 'sk$uc1' = multiply('sk$uc1','sk$uc5') ),
inference(superposition,[status(thm)],[d129,d104]) ).
cnf(d131,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| 'sk$uc1' = multiply('sk$uc7','sk$uc6') ),
inference(superposition,[status(thm)],[d130,d103]) ).
cnf(d132,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc1','sk$uc1') = 'sk$uc6' ),
inference(superposition,[status(thm)],[d131,d101]) ).
cnf(d133,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc7',inverse('sk$uc6')) = multiply('sk$uc1',identity) ),
inference(superposition,[status(thm)],[d29,d67]) ).
cnf(d134,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc7',inverse('sk$uc6')) = 'sk$uc1' ),
inference(demodulation,[status(thm)],[d133,d7]) ).
cnf(d135,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc1','sk$uc1') = inverse('sk$uc6') ),
inference(superposition,[status(thm)],[d134,d101]) ).
cnf(d136,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc6') = 'sk$uc6' ),
inference(superposition,[status(thm)],[d135,d132]) ).
cnf(d137,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6' ),
inference(resolution,[status(thm)],[d136,d99]) ).
cnf(d138,plain,
( inverse('sk$uc4') = 'sk$uc5'
| 'sk$uc6' = multiply('sk$uc2','sk$uc5') ),
inference(superposition,[status(thm)],[c15,d4]) ).
cnf(d139,plain,
( inverse('sk$uc4') = 'sk$uc5'
| multiply('sk$uc6','sk$uc2') = identity ),
inference(superposition,[status(thm)],[c11,c19]) ).
cnf(d140,plain,
( inverse('sk$uc4') = 'sk$uc5'
| multiply(identity,X0) = multiply('sk$uc6',multiply('sk$uc2',X0)) ),
inference(superposition,[status(thm)],[d139,c20]) ).
cnf(d141,plain,
( inverse('sk$uc4') = 'sk$uc5'
| X0 = multiply('sk$uc6',multiply('sk$uc2',X0)) ),
inference(demodulation,[status(thm)],[d140,c18]) ).
cnf(d142,plain,
( inverse('sk$uc4') = 'sk$uc5'
| multiply('sk$uc2',X0) = multiply(inverse('sk$uc6'),X0) ),
inference(superposition,[status(thm)],[d141,d1]) ).
cnf(d143,plain,
( inverse('sk$uc4') = 'sk$uc5'
| multiply('sk$uc2','sk$uc5') = 'sk$uc7' ),
inference(superposition,[status(thm)],[d142,d41]) ).
cnf(d144,plain,
( inverse('sk$uc4') = 'sk$uc5'
| inverse('sk$uc4') = 'sk$uc5'
| 'sk$uc6' = 'sk$uc7' ),
inference(superposition,[status(thm)],[d143,d138]) ).
cnf(d145,plain,
multiply(inverse(X0),identity) = inverse(X0),
inference(superposition,[status(thm)],[d29,d59]) ).
cnf(d146,plain,
inverse(X0) = inverse(X0),
inference(demodulation,[status(thm)],[d145,d7]) ).
cnf(d147,plain,
inverse(inverse(X0)) = X0,
inference(superposition,[status(thm)],[d9,d146]) ).
cnf(d148,plain,
inverse('sk$uc6') = 'sk$uc3',
inference(superposition,[status(thm)],[d137,d147]) ).
cnf(d149,plain,
multiply('sk$uc7',inverse('sk$uc5')) = multiply(inverse('sk$uc6'),identity),
inference(superposition,[status(thm)],[d94,d49]) ).
cnf(d150,plain,
multiply('sk$uc7',inverse('sk$uc5')) = inverse('sk$uc6'),
inference(demodulation,[status(thm)],[d149,d7]) ).
cnf(d151,plain,
inverse('sk$uc6') = multiply('sk$uc7',inverse('sk$uc5')),
inference(superposition,[status(thm)],[d150,d4]) ).
cnf(d152,plain,
( 'sk$uc6' = 'sk$uc7'
| inverse('sk$uc5') = 'sk$uc4' ),
inference(superposition,[status(thm)],[d144,d147]) ).
cnf(d153,plain,
( 'sk$uc6' = 'sk$uc7'
| inverse('sk$uc6') = multiply('sk$uc7','sk$uc4') ),
inference(superposition,[status(thm)],[d152,d151]) ).
cnf(d154,plain,
( 'sk$uc3' = multiply('sk$uc7','sk$uc4')
| 'sk$uc6' = 'sk$uc7' ),
inference(demodulation,[status(thm)],[d153,d148]) ).
cnf(d155,plain,
( identity = 'sk$uc7'
| multiply('sk$uc3','sk$uc6') = identity ),
inference(superposition,[status(thm)],[d87,d94]) ).
cnf(d156,plain,
( identity = 'sk$uc7'
| inverse('sk$uc2') = 'sk$uc6'
| identity = 'sk$uc7' ),
inference(superposition,[status(thm)],[d155,c9]) ).
cnf(d157,plain,
( identity = 'sk$uc7'
| inverse('sk$uc6') = 'sk$uc2' ),
inference(superposition,[status(thm)],[d156,d147]) ).
cnf(d158,plain,
( identity = 'sk$uc7'
| multiply('sk$uc2','sk$uc5') = 'sk$uc7' ),
inference(superposition,[status(thm)],[d157,d41]) ).
cnf(d159,plain,
multiply('sk$uc3','sk$uc6') = identity,
inference(superposition,[status(thm)],[d137,d94]) ).
cnf(d160,plain,
( multiply('sk$uc2','sk$uc5') = 'sk$uc6'
| identity = 'sk$uc7' ),
inference(demodulation,[status(thm)],[c13,d159]) ).
cnf(d161,plain,
( identity = 'sk$uc7'
| identity = 'sk$uc7'
| 'sk$uc6' = 'sk$uc7' ),
inference(superposition,[status(thm)],[d160,d158]) ).
cnf(d162,plain,
( 'sk$uc6' = 'sk$uc7'
| multiply('sk$uc7',X0) = X0 ),
inference(superposition,[status(thm)],[d161,c18]) ).
cnf(d163,plain,
( 'sk$uc6' = 'sk$uc7'
| 'sk$uc6' = 'sk$uc7'
| 'sk$uc3' = 'sk$uc4' ),
inference(superposition,[status(thm)],[d162,d154]) ).
cnf(d164,plain,
( 'sk$uc6' = 'sk$uc7'
| 'sk$uc6' = 'sk$uc7'
| inverse('sk$uc3') = 'sk$uc5' ),
inference(superposition,[status(thm)],[d163,d144]) ).
cnf(d165,plain,
( 'sk$uc6' = 'sk$uc5'
| 'sk$uc6' = 'sk$uc7' ),
inference(demodulation,[status(thm)],[d164,d137]) ).
cnf(d166,plain,
( inverse('sk$uc1') = 'sk$uc7'
| inverse(identity) != 'sk$uc7'
| inverse('sk$uc4') != 'sk$uc5'
| inverse(X1) != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc7'
| multiply(X1,'sk$uc5') != 'sk$uc6'
| multiply(X0,'sk$uc6') != 'sk$uc7'
| 'sk$uc5' != 'sk$uc5' ),
inference(superposition,[status(thm)],[c4,d15]) ).
cnf(d167,plain,
( identity != 'sk$uc7'
| inverse('sk$uc4') != 'sk$uc5'
| inverse('sk$uc1') = 'sk$uc7'
| inverse(X1) != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc7'
| multiply(X1,'sk$uc6') != 'sk$uc7'
| multiply(X0,'sk$uc5') != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d166,d13]) ).
cnf(d168,plain,
( identity != 'sk$uc7'
| inverse('sk$uc1') = 'sk$uc7'
| inverse(X1) != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc7'
| multiply(X1,'sk$uc6') != 'sk$uc7'
| multiply(X0,'sk$uc5') != 'sk$uc6'
| inverse('sk$uc1') = 'sk$uc7' ),
inference(resolution,[status(thm)],[c3,d167]) ).
cnf(d169,plain,
( identity != 'sk$uc7'
| inverse('sk$uc1') = 'sk$uc7'
| inverse(inverse('sk$uc6')) != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc7'
| multiply(X0,'sk$uc6') != 'sk$uc7'
| 'sk$uc7' != 'sk$uc6' ),
inference(superposition,[status(thm)],[d20,d168]) ).
cnf(d170,plain,
( identity != 'sk$uc7'
| inverse('sk$uc1') = 'sk$uc7'
| 'sk$uc6' != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc7' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc7'
| multiply(X0,'sk$uc6') != 'sk$uc7' ),
inference(demodulation,[status(thm)],[d169,d9]) ).
cnf(d171,plain,
( identity != 'sk$uc7'
| inverse('sk$uc1') = 'sk$uc7'
| 'sk$uc6' != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| 'sk$uc7' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc7'
| multiply(X0,'sk$uc6') != 'sk$uc7' ),
inference(resolution,[status(thm)],[d27,d170]) ).
cnf(d172,plain,
( identity != 'sk$uc7'
| inverse('sk$uc1') = 'sk$uc7'
| inverse(X0) != 'sk$uc6'
| 'sk$uc7' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc7'
| multiply(X0,'sk$uc6') != 'sk$uc7' ),
inference(resolution,[status(thm)],[d34,d171]) ).
cnf(d173,plain,
( identity != 'sk$uc7'
| inverse('sk$uc1') = 'sk$uc7'
| inverse(inverse('sk$uc6')) != 'sk$uc6'
| 'sk$uc7' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc7'
| identity != 'sk$uc7' ),
inference(superposition,[status(thm)],[d5,d172]) ).
cnf(d174,plain,
( identity != 'sk$uc7'
| inverse('sk$uc1') = 'sk$uc7'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc7' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc7' ),
inference(demodulation,[status(thm)],[d173,d9]) ).
cnf(d175,plain,
X0 = multiply(inverse('sk$uc5'),multiply('sk$uc6',multiply('sk$uc7',X0))),
inference(superposition,[status(thm)],[d19,d50]) ).
cnf(d176,plain,
X0 = multiply(inverse('sk$uc5'),multiply('sk$uc5',X0)),
inference(demodulation,[status(thm)],[d175,d23]) ).
cnf(d177,plain,
X0 = X0,
inference(demodulation,[status(thm)],[d176,d59]) ).
cnf(d178,plain,
( identity != 'sk$uc7'
| inverse('sk$uc1') = 'sk$uc7'
| 'sk$uc7' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc7' ),
inference(resolution,[status(thm)],[d177,d174]) ).
cnf(d179,plain,
( identity = 'sk$uc7'
| inverse('sk$uc1') = 'sk$uc7'
| identity = 'sk$uc7' ),
inference(superposition,[status(thm)],[d155,c1]) ).
cnf(d180,plain,
( inverse('sk$uc1') = 'sk$uc7'
| 'sk$uc7' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc7'
| inverse('sk$uc1') = 'sk$uc7' ),
inference(resolution,[status(thm)],[d179,d178]) ).
cnf(d181,plain,
( 'sk$uc6' = 'sk$uc7'
| X0 = multiply('sk$uc5',multiply('sk$uc4',X0)) ),
inference(superposition,[status(thm)],[d144,d1]) ).
cnf(d182,plain,
( 'sk$uc6' = 'sk$uc7'
| X0 = multiply('sk$uc4',multiply('sk$uc5',X0)) ),
inference(superposition,[status(thm)],[d144,d51]) ).
cnf(d183,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[d6,d4]) ).
cnf(d184,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[d183,d2]) ).
cnf(d185,plain,
( 'sk$uc6' = 'sk$uc7'
| multiply(X0,'sk$uc7') = X0 ),
inference(superposition,[status(thm)],[d161,d184]) ).
cnf(d186,plain,
( 'sk$uc6' = 'sk$uc7'
| 'sk$uc6' = 'sk$uc7'
| 'sk$uc7' = multiply('sk$uc4','sk$uc5') ),
inference(superposition,[status(thm)],[d185,d182]) ).
cnf(d187,plain,
( 'sk$uc6' = 'sk$uc7'
| 'sk$uc6' = 'sk$uc7'
| 'sk$uc7' = multiply('sk$uc4','sk$uc6') ),
inference(superposition,[status(thm)],[d165,d186]) ).
cnf(d188,plain,
( 'sk$uc6' = 'sk$uc7'
| 'sk$uc6' = 'sk$uc7'
| 'sk$uc6' = multiply('sk$uc5','sk$uc7') ),
inference(superposition,[status(thm)],[d187,d181]) ).
cnf(d189,plain,
( inverse('sk$uc1') = 'sk$uc7'
| multiply('sk$uc5','sk$uc4') = identity ),
inference(superposition,[status(thm)],[c3,c19]) ).
cnf(d190,plain,
( inverse('sk$uc1') = 'sk$uc7'
| multiply(identity,X0) = multiply('sk$uc5',multiply('sk$uc4',X0)) ),
inference(superposition,[status(thm)],[d189,c20]) ).
cnf(d191,plain,
( inverse('sk$uc1') = 'sk$uc7'
| X0 = multiply('sk$uc5',multiply('sk$uc4',X0)) ),
inference(demodulation,[status(thm)],[d190,c18]) ).
cnf(d192,plain,
( inverse('sk$uc1') = 'sk$uc7'
| inverse('sk$uc1') = 'sk$uc7'
| 'sk$uc6' = multiply('sk$uc5','sk$uc5') ),
inference(superposition,[status(thm)],[c4,d191]) ).
cnf(d193,plain,
( inverse('sk$uc1') = 'sk$uc7'
| X0 = multiply(inverse('sk$uc6'),multiply('sk$uc5',multiply('sk$uc5',X0))) ),
inference(superposition,[status(thm)],[d192,d50]) ).
cnf(d194,plain,
( inverse('sk$uc1') = 'sk$uc7'
| X0 = multiply('sk$uc7',multiply('sk$uc5',X0)) ),
inference(demodulation,[status(thm)],[d193,d49]) ).
cnf(d195,plain,
multiply('sk$uc3',multiply('sk$uc6',X0)) = X0,
inference(superposition,[status(thm)],[d137,d100]) ).
cnf(d196,plain,
( inverse('sk$uc1') = 'sk$uc7'
| multiply('sk$uc7',X0) = multiply('sk$uc3',multiply('sk$uc6',X0)) ),
inference(superposition,[status(thm)],[c1,c20]) ).
cnf(d197,plain,
( inverse('sk$uc1') = 'sk$uc7'
| multiply('sk$uc3',multiply('sk$uc6',X0)) = multiply('sk$uc7',X0) ),
inference(superposition,[status(thm)],[d196,d4]) ).
cnf(d198,plain,
( inverse('sk$uc1') = 'sk$uc7'
| X0 = multiply('sk$uc7',X0) ),
inference(demodulation,[status(thm)],[d197,d195]) ).
cnf(d199,plain,
( inverse('sk$uc1') = 'sk$uc7'
| inverse('sk$uc1') = 'sk$uc7'
| X0 = multiply('sk$uc5',X0) ),
inference(superposition,[status(thm)],[d198,d194]) ).
cnf(d200,plain,
( inverse('sk$uc1') = 'sk$uc7'
| 'sk$uc6' = 'sk$uc7'
| 'sk$uc6' = 'sk$uc7' ),
inference(superposition,[status(thm)],[d199,d188]) ).
cnf(d201,plain,
( inverse('sk$uc1') = 'sk$uc7'
| 'sk$uc7' != 'sk$uc6'
| inverse('sk$uc1') = 'sk$uc7' ),
inference(resolution,[status(thm)],[d200,d180]) ).
cnf(d202,plain,
( inverse('sk$uc4') = 'sk$uc5'
| inverse('sk$uc4') = 'sk$uc5'
| 'sk$uc7' = 'sk$uc6' ),
inference(superposition,[status(thm)],[d143,c15]) ).
cnf(d203,plain,
( 'sk$uc7' = 'sk$uc6'
| multiply('sk$uc5',multiply('sk$uc4',X0)) = X0 ),
inference(superposition,[status(thm)],[d202,d59]) ).
cnf(d204,plain,
( 'sk$uc7' = 'sk$uc6'
| X0 = multiply('sk$uc4',multiply('sk$uc5',X0)) ),
inference(superposition,[status(thm)],[d202,d51]) ).
cnf(d205,plain,
( identity = 'sk$uc7'
| 'sk$uc7' = multiply('sk$uc2','sk$uc5') ),
inference(superposition,[status(thm)],[d157,d20]) ).
cnf(d206,plain,
( identity = 'sk$uc7'
| identity = 'sk$uc7'
| 'sk$uc7' = 'sk$uc6' ),
inference(superposition,[status(thm)],[d160,d205]) ).
cnf(d207,plain,
( 'sk$uc7' = 'sk$uc6'
| multiply(X0,'sk$uc7') = X0 ),
inference(superposition,[status(thm)],[d206,d184]) ).
cnf(d208,plain,
( 'sk$uc7' = 'sk$uc6'
| 'sk$uc7' = 'sk$uc6'
| 'sk$uc7' = multiply('sk$uc4','sk$uc5') ),
inference(superposition,[status(thm)],[d207,d204]) ).
cnf(d209,plain,
( 'sk$uc7' = 'sk$uc6'
| inverse('sk$uc5') = 'sk$uc4' ),
inference(superposition,[status(thm)],[d202,d147]) ).
cnf(d210,plain,
( 'sk$uc7' = 'sk$uc6'
| inverse('sk$uc6') = multiply('sk$uc7','sk$uc4') ),
inference(superposition,[status(thm)],[d209,d151]) ).
cnf(d211,plain,
( 'sk$uc3' = multiply('sk$uc7','sk$uc4')
| 'sk$uc7' = 'sk$uc6' ),
inference(demodulation,[status(thm)],[d210,d148]) ).
cnf(d212,plain,
( 'sk$uc7' = 'sk$uc6'
| multiply('sk$uc7',X0) = X0 ),
inference(superposition,[status(thm)],[d206,c18]) ).
cnf(d213,plain,
( 'sk$uc7' = 'sk$uc6'
| 'sk$uc7' = 'sk$uc6'
| 'sk$uc3' = 'sk$uc4' ),
inference(superposition,[status(thm)],[d212,d211]) ).
cnf(d214,plain,
( 'sk$uc7' = 'sk$uc6'
| 'sk$uc7' = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc5' ),
inference(superposition,[status(thm)],[d213,d202]) ).
cnf(d215,plain,
( 'sk$uc6' = 'sk$uc5'
| 'sk$uc7' = 'sk$uc6' ),
inference(demodulation,[status(thm)],[d214,d137]) ).
cnf(d216,plain,
( 'sk$uc7' = 'sk$uc6'
| 'sk$uc7' = 'sk$uc6'
| 'sk$uc7' = multiply('sk$uc4','sk$uc6') ),
inference(superposition,[status(thm)],[d215,d208]) ).
cnf(d217,plain,
( 'sk$uc7' = 'sk$uc6'
| 'sk$uc7' = 'sk$uc6'
| multiply('sk$uc5','sk$uc7') = 'sk$uc6' ),
inference(superposition,[status(thm)],[d216,d203]) ).
cnf(d218,plain,
( inverse('sk$uc1') = 'sk$uc7'
| 'sk$uc7' = 'sk$uc6'
| 'sk$uc7' = 'sk$uc6' ),
inference(superposition,[status(thm)],[d199,d217]) ).
cnf(d219,plain,
( inverse('sk$uc1') = 'sk$uc7'
| inverse('sk$uc1') = 'sk$uc7' ),
inference(resolution,[status(thm)],[d218,d201]) ).
cnf(d220,plain,
inverse('sk$uc7') = 'sk$uc1',
inference(superposition,[status(thm)],[d219,d147]) ).
cnf(d221,plain,
inverse('sk$uc7') = multiply(inverse('sk$uc5'),'sk$uc6'),
inference(superposition,[status(thm)],[d31,d1]) ).
cnf(d222,plain,
( 'sk$uc6' = 'sk$uc7'
| inverse('sk$uc7') = multiply('sk$uc4','sk$uc6') ),
inference(superposition,[status(thm)],[d152,d221]) ).
cnf(d223,plain,
( 'sk$uc6' = 'sk$uc7'
| 'sk$uc6' = 'sk$uc7'
| inverse('sk$uc7') = 'sk$uc7' ),
inference(superposition,[status(thm)],[d187,d222]) ).
cnf(d224,plain,
( 'sk$uc1' = 'sk$uc7'
| 'sk$uc6' = 'sk$uc7' ),
inference(demodulation,[status(thm)],[d223,d220]) ).
cnf(d225,plain,
( multiply('sk$uc1','sk$uc6') = 'sk$uc7'
| 'sk$uc5' = multiply('sk$uc4','sk$uc6') ),
inference(superposition,[status(thm)],[c8,d4]) ).
cnf(d226,plain,
( 'sk$uc6' = 'sk$uc7'
| multiply('sk$uc4','sk$uc6') = inverse('sk$uc7') ),
inference(superposition,[status(thm)],[d152,d60]) ).
cnf(d227,plain,
( 'sk$uc6' = 'sk$uc7'
| multiply('sk$uc1','sk$uc6') = 'sk$uc7'
| 'sk$uc5' = inverse('sk$uc7') ),
inference(superposition,[status(thm)],[d226,d225]) ).
cnf(d228,plain,
( 'sk$uc5' = 'sk$uc1'
| 'sk$uc6' = 'sk$uc7'
| multiply('sk$uc1','sk$uc6') = 'sk$uc7' ),
inference(demodulation,[status(thm)],[d227,d220]) ).
cnf(d229,plain,
( 'sk$uc6' = 'sk$uc7'
| multiply(inverse('sk$uc7'),X0) = X0 ),
inference(superposition,[status(thm)],[d162,d59]) ).
cnf(d230,plain,
( 'sk$uc6' = 'sk$uc7'
| multiply('sk$uc1',X0) = X0 ),
inference(demodulation,[status(thm)],[d229,d220]) ).
cnf(d231,plain,
( 'sk$uc6' = 'sk$uc7'
| 'sk$uc5' = 'sk$uc1'
| 'sk$uc6' = 'sk$uc7'
| 'sk$uc6' = 'sk$uc7' ),
inference(superposition,[status(thm)],[d230,d228]) ).
cnf(d232,plain,
( 'sk$uc6' = 'sk$uc7'
| 'sk$uc6' = 'sk$uc7'
| 'sk$uc5' = 'sk$uc7' ),
inference(superposition,[status(thm)],[d231,d224]) ).
cnf(d233,plain,
( 'sk$uc6' = 'sk$uc7'
| 'sk$uc6' = 'sk$uc7'
| 'sk$uc6' = 'sk$uc7' ),
inference(superposition,[status(thm)],[d232,d165]) ).
cnf(d234,plain,
'sk$uc1' = inverse('sk$uc7'),
inference(superposition,[status(thm)],[d219,d9]) ).
cnf(d235,plain,
'sk$uc1' = inverse('sk$uc6'),
inference(demodulation,[status(thm)],[d234,d233]) ).
cnf(d236,plain,
'sk$uc1' = 'sk$uc3',
inference(demodulation,[status(thm)],[d235,d148]) ).
cnf(d237,plain,
multiply(inverse('sk$uc7'),inverse('sk$uc6')) = inverse('sk$uc5'),
inference(superposition,[status(thm)],[d150,d59]) ).
cnf(d238,plain,
multiply(inverse('sk$uc7'),'sk$uc3') = inverse('sk$uc5'),
inference(demodulation,[status(thm)],[d237,d148]) ).
cnf(d239,plain,
multiply('sk$uc1','sk$uc3') = inverse('sk$uc5'),
inference(demodulation,[status(thm)],[d238,d220]) ).
cnf(d240,plain,
multiply('sk$uc3','sk$uc3') = inverse('sk$uc5'),
inference(demodulation,[status(thm)],[d239,d236]) ).
cnf(d241,plain,
( multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| multiply('sk$uc7',X0) = multiply('sk$uc1',multiply('sk$uc6',X0)) ),
inference(superposition,[status(thm)],[c5,c20]) ).
cnf(d242,plain,
( multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| multiply('sk$uc7',inverse('sk$uc6')) = multiply('sk$uc1',identity) ),
inference(superposition,[status(thm)],[d29,d241]) ).
cnf(d243,plain,
( multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| multiply('sk$uc7',inverse('sk$uc6')) = 'sk$uc1' ),
inference(demodulation,[status(thm)],[d242,d7]) ).
cnf(d244,plain,
( multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| inverse('sk$uc6') = multiply(inverse(multiply(X0,'sk$uc7')),multiply(X0,'sk$uc1')) ),
inference(superposition,[status(thm)],[d243,d50]) ).
cnf(d245,plain,
( inverse('sk$uc6') = multiply(inverse(multiply(X0,'sk$uc7')),multiply(X0,'sk$uc1'))
| identity = 'sk$uc7' ),
inference(demodulation,[status(thm)],[d244,d159]) ).
cnf(d246,plain,
( 'sk$uc3' = multiply(inverse(multiply(X0,'sk$uc7')),multiply(X0,'sk$uc1'))
| identity = 'sk$uc7' ),
inference(demodulation,[status(thm)],[d245,d148]) ).
cnf(d247,plain,
( 'sk$uc3' = multiply(inverse('sk$uc7'),'sk$uc1')
| identity = 'sk$uc7' ),
inference(demodulation,[status(thm)],[d246,d52]) ).
cnf(d248,plain,
( 'sk$uc3' = multiply('sk$uc1','sk$uc1')
| identity = 'sk$uc7' ),
inference(demodulation,[status(thm)],[d247,d220]) ).
cnf(d249,plain,
( identity = 'sk$uc7'
| 'sk$uc3' = multiply('sk$uc3','sk$uc1') ),
inference(demodulation,[status(thm)],[d248,d236]) ).
cnf(d250,plain,
( identity = 'sk$uc7'
| 'sk$uc3' = multiply('sk$uc3','sk$uc3') ),
inference(demodulation,[status(thm)],[d249,d236]) ).
cnf(d251,plain,
( identity = 'sk$uc7'
| 'sk$uc3' = inverse('sk$uc5') ),
inference(demodulation,[status(thm)],[d250,d240]) ).
cnf(d252,plain,
( identity = 'sk$uc6'
| 'sk$uc3' = inverse('sk$uc5') ),
inference(demodulation,[status(thm)],[d251,d233]) ).
cnf(d253,plain,
( identity = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc5' ),
inference(superposition,[status(thm)],[d252,d147]) ).
cnf(d254,plain,
( identity = 'sk$uc6'
| 'sk$uc6' = 'sk$uc5' ),
inference(demodulation,[status(thm)],[d253,d137]) ).
cnf(d255,plain,
( multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| inverse(X2) != 'sk$uc6'
| inverse(X1) != 'sk$uc6'
| inverse(X0) != 'sk$uc5'
| inverse('sk$uc1') != 'sk$uc7'
| 'sk$uc5' != 'sk$uc5'
| multiply(X2,'sk$uc6') != 'sk$uc7'
| multiply(X1,'sk$uc5') != 'sk$uc6'
| multiply(X0,'sk$uc6') != 'sk$uc5'
| 'sk$uc7' != 'sk$uc7' ),
inference(superposition,[status(thm)],[c5,d14]) ).
cnf(d256,plain,
( inverse(X2) != 'sk$uc5'
| inverse(X1) != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc7' != 'sk$uc7'
| multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| multiply(X2,'sk$uc6') != 'sk$uc5'
| multiply(X1,'sk$uc5') != 'sk$uc6'
| multiply(X0,'sk$uc6') != 'sk$uc7'
| multiply('sk$uc3','sk$uc6') = 'sk$uc7' ),
inference(resolution,[status(thm)],[c1,d255]) ).
cnf(d257,plain,
( multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| inverse('sk$uc1') != 'sk$uc6'
| inverse(X1) != 'sk$uc6'
| inverse(X0) != 'sk$uc5'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc7' != 'sk$uc7'
| multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| multiply(X1,'sk$uc5') != 'sk$uc6'
| multiply(X0,'sk$uc6') != 'sk$uc5'
| 'sk$uc7' != 'sk$uc7' ),
inference(superposition,[status(thm)],[c5,d256]) ).
cnf(d258,plain,
( multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| 'sk$uc7' = multiply('sk$uc1','sk$uc6') ),
inference(superposition,[status(thm)],[c5,d4]) ).
cnf(d259,plain,
( multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| inverse('sk$uc1') != 'sk$uc6'
| inverse('sk$uc1') != 'sk$uc5'
| inverse(X0) != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc7' != 'sk$uc7'
| multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| multiply(X0,'sk$uc5') != 'sk$uc6'
| 'sk$uc7' != 'sk$uc5' ),
inference(superposition,[status(thm)],[d258,d257]) ).
cnf(d260,plain,
( inverse('sk$uc1') != 'sk$uc5'
| inverse('sk$uc1') != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| 'sk$uc7' != 'sk$uc5'
| 'sk$uc7' != 'sk$uc7'
| multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| multiply(X0,'sk$uc5') != 'sk$uc6' ),
inference(resolution,[status(thm)],[d27,d259]) ).
cnf(d261,plain,
multiply(inverse('sk$uc6'),multiply('sk$uc5',X0)) = multiply('sk$uc7',X0),
inference(superposition,[status(thm)],[d20,d58]) ).
cnf(d262,plain,
multiply(inverse('sk$uc6'),'sk$uc5') = multiply('sk$uc7',identity),
inference(superposition,[status(thm)],[d7,d261]) ).
cnf(d263,plain,
'sk$uc7' = multiply('sk$uc7',identity),
inference(demodulation,[status(thm)],[d262,d20]) ).
cnf(d264,plain,
'sk$uc7' = 'sk$uc7',
inference(demodulation,[status(thm)],[d263,d7]) ).
cnf(d265,plain,
( inverse('sk$uc1') != 'sk$uc5'
| inverse('sk$uc1') != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| 'sk$uc7' != 'sk$uc5'
| multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| multiply(X0,'sk$uc5') != 'sk$uc6' ),
inference(resolution,[status(thm)],[d264,d260]) ).
cnf(d266,plain,
( inverse('sk$uc1') != 'sk$uc5'
| inverse('sk$uc1') != 'sk$uc6'
| inverse(inverse('sk$uc6')) != 'sk$uc6'
| 'sk$uc7' != 'sk$uc5'
| multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| 'sk$uc7' != 'sk$uc6' ),
inference(superposition,[status(thm)],[d20,d265]) ).
cnf(d267,plain,
( inverse('sk$uc1') != 'sk$uc5'
| inverse('sk$uc1') != 'sk$uc6'
| inverse(inverse('sk$uc6')) != 'sk$uc6'
| 'sk$uc7' != 'sk$uc5'
| 'sk$uc7' != 'sk$uc6'
| identity = 'sk$uc7' ),
inference(demodulation,[status(thm)],[d266,d159]) ).
cnf(d268,plain,
( inverse('sk$uc1') != 'sk$uc5'
| inverse('sk$uc1') != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc7' != 'sk$uc5'
| 'sk$uc7' != 'sk$uc6'
| identity = 'sk$uc7' ),
inference(demodulation,[status(thm)],[d267,d9]) ).
cnf(d269,plain,
( inverse('sk$uc1') != 'sk$uc5'
| 'sk$uc7' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc7' != 'sk$uc5'
| 'sk$uc7' != 'sk$uc6'
| identity = 'sk$uc7' ),
inference(demodulation,[status(thm)],[d268,d219]) ).
cnf(d270,plain,
( 'sk$uc7' != 'sk$uc5'
| 'sk$uc7' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc7' != 'sk$uc5'
| 'sk$uc7' != 'sk$uc6'
| identity = 'sk$uc7' ),
inference(demodulation,[status(thm)],[d269,d219]) ).
cnf(d271,plain,
( 'sk$uc7' != 'sk$uc5'
| 'sk$uc7' != 'sk$uc6'
| 'sk$uc7' != 'sk$uc5'
| 'sk$uc7' != 'sk$uc6'
| identity = 'sk$uc7' ),
inference(resolution,[status(thm)],[d177,d270]) ).
cnf(d272,plain,
( identity = 'sk$uc7'
| 'sk$uc7' != 'sk$uc5'
| identity = 'sk$uc7' ),
inference(resolution,[status(thm)],[d206,d271]) ).
cnf(d273,plain,
( identity = 'sk$uc7'
| 'sk$uc6' != 'sk$uc5' ),
inference(demodulation,[status(thm)],[d272,d233]) ).
cnf(d274,plain,
( identity = 'sk$uc6'
| 'sk$uc6' != 'sk$uc5' ),
inference(demodulation,[status(thm)],[d273,d233]) ).
cnf(d275,plain,
( identity = 'sk$uc6'
| identity = 'sk$uc6' ),
inference(resolution,[status(thm)],[d274,d254]) ).
cnf(d276,plain,
X0 = multiply(X0,'sk$uc6'),
inference(demodulation,[status(thm)],[d7,d275]) ).
cnf(d277,plain,
'sk$uc6' = inverse(identity),
inference(demodulation,[status(thm)],[d13,d275]) ).
cnf(d278,plain,
'sk$uc6' = inverse('sk$uc6'),
inference(demodulation,[status(thm)],[d277,d275]) ).
cnf(d279,plain,
X0 = multiply('sk$uc6',X0),
inference(demodulation,[status(thm)],[d10,d275]) ).
cnf(d280,plain,
multiply('sk$uc6','sk$uc6') = 'sk$uc5',
inference(demodulation,[status(thm)],[c0,d233]) ).
cnf(d281,plain,
'sk$uc6' = 'sk$uc5',
inference(demodulation,[status(thm)],[d280,d279]) ).
cnf(d282,plain,
( inverse(X4) != 'sk$uc6'
| inverse(X3) != 'sk$uc6'
| inverse(X2) != 'sk$uc5'
| inverse(multiply(X0,X1)) != 'sk$uc7'
| 'sk$uc5' != 'sk$uc5'
| multiply(X4,'sk$uc6') != 'sk$uc7'
| multiply(X3,'sk$uc5') != 'sk$uc6'
| multiply(X2,'sk$uc6') != 'sk$uc5'
| multiply(X0,multiply(X1,'sk$uc6')) != 'sk$uc7' ),
inference(superposition,[status(thm)],[c20,d14]) ).
cnf(d283,plain,
( inverse(multiply(multiply(X0,X1),X2)) != 'sk$uc7'
| inverse(X5) != 'sk$uc5'
| inverse(X4) != 'sk$uc6'
| inverse(X3) != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| multiply(X5,'sk$uc6') != 'sk$uc5'
| multiply(X4,'sk$uc5') != 'sk$uc6'
| multiply(X3,'sk$uc6') != 'sk$uc7'
| multiply(X0,multiply(X1,multiply(X2,'sk$uc6'))) != 'sk$uc7' ),
inference(superposition,[status(thm)],[c20,d282]) ).
cnf(d284,plain,
( inverse(multiply(X0,multiply(X1,X2))) != 'sk$uc7'
| inverse(X5) != 'sk$uc6'
| inverse(X4) != 'sk$uc6'
| inverse(X3) != 'sk$uc5'
| 'sk$uc5' != 'sk$uc5'
| multiply(X0,multiply(X1,multiply(X2,'sk$uc6'))) != 'sk$uc7'
| multiply(X5,'sk$uc6') != 'sk$uc7'
| multiply(X4,'sk$uc5') != 'sk$uc6'
| multiply(X3,'sk$uc6') != 'sk$uc5' ),
inference(demodulation,[status(thm)],[d283,c20]) ).
cnf(d285,plain,
( inverse(multiply(X3,multiply(X4,X5))) != 'sk$uc7'
| inverse(X2) != 'sk$uc6'
| inverse(X1) != 'sk$uc6'
| inverse(X0) != 'sk$uc5'
| multiply(X3,multiply(X4,multiply(X5,'sk$uc6'))) != 'sk$uc7'
| multiply(X2,'sk$uc6') != 'sk$uc7'
| multiply(X1,'sk$uc5') != 'sk$uc6'
| multiply(X0,'sk$uc6') != 'sk$uc5' ),
inference(resolution,[status(thm)],[d27,d284]) ).
cnf(d286,plain,
multiply('sk$uc6',X0) = multiply('sk$uc5',multiply(inverse('sk$uc7'),X0)),
inference(superposition,[status(thm)],[d100,d24]) ).
cnf(d287,plain,
( inverse(multiply(X0,multiply('sk$uc5',inverse('sk$uc7')))) != 'sk$uc7'
| inverse(X3) != 'sk$uc5'
| inverse(X2) != 'sk$uc6'
| inverse(X1) != 'sk$uc6'
| multiply(X3,'sk$uc6') != 'sk$uc5'
| multiply(X2,'sk$uc5') != 'sk$uc6'
| multiply(X1,'sk$uc6') != 'sk$uc7'
| multiply(X0,multiply('sk$uc6','sk$uc6')) != 'sk$uc7' ),
inference(superposition,[status(thm)],[d286,d285]) ).
cnf(d288,plain,
( inverse(multiply(X3,multiply('sk$uc5',inverse('sk$uc7')))) != 'sk$uc7'
| inverse(X2) != 'sk$uc6'
| inverse(X1) != 'sk$uc6'
| inverse(X0) != 'sk$uc5'
| multiply(X3,multiply('sk$uc6','sk$uc6')) != 'sk$uc7'
| multiply(X2,'sk$uc6') != 'sk$uc7'
| multiply(X1,'sk$uc5') != 'sk$uc6'
| X0 != 'sk$uc5' ),
inference(demodulation,[status(thm)],[d287,d276]) ).
cnf(d289,plain,
( inverse(multiply(X3,multiply('sk$uc5',inverse('sk$uc7')))) != 'sk$uc7'
| inverse(X2) != 'sk$uc6'
| inverse(X1) != 'sk$uc6'
| inverse(X0) != 'sk$uc5'
| multiply(X3,multiply('sk$uc6','sk$uc6')) != 'sk$uc7'
| multiply(X2,'sk$uc6') != 'sk$uc7'
| multiply(X1,'sk$uc5') != 'sk$uc6'
| X0 != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d288,d281]) ).
cnf(d290,plain,
( inverse(multiply(X3,multiply('sk$uc5',inverse('sk$uc7')))) != 'sk$uc7'
| inverse(X2) != 'sk$uc6'
| inverse(X1) != 'sk$uc6'
| inverse(X0) != 'sk$uc5'
| multiply(X3,multiply('sk$uc6','sk$uc6')) != 'sk$uc7'
| multiply(X2,'sk$uc6') != 'sk$uc7'
| multiply(X1,'sk$uc6') != 'sk$uc6'
| X0 != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d289,d281]) ).
cnf(d291,plain,
( inverse(multiply(X3,multiply('sk$uc5',inverse('sk$uc7')))) != 'sk$uc7'
| inverse(X2) != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| inverse(X1) != 'sk$uc5'
| multiply(X3,multiply('sk$uc6','sk$uc6')) != 'sk$uc7'
| multiply(X2,'sk$uc6') != 'sk$uc7'
| X0 != 'sk$uc6'
| X1 != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d290,d276]) ).
cnf(d292,plain,
( inverse(multiply(X3,multiply('sk$uc5',inverse('sk$uc7')))) != 'sk$uc7'
| inverse(X0) != 'sk$uc6'
| inverse(X2) != 'sk$uc6'
| inverse(X1) != 'sk$uc5'
| multiply(X3,multiply('sk$uc6','sk$uc6')) != 'sk$uc7'
| X0 != 'sk$uc7'
| X2 != 'sk$uc6'
| X1 != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d291,d276]) ).
cnf(d293,plain,
( inverse(multiply(X3,multiply('sk$uc5',inverse('sk$uc7')))) != 'sk$uc7'
| inverse(X2) != 'sk$uc6'
| inverse(X1) != 'sk$uc6'
| inverse(X0) != 'sk$uc5'
| multiply(X3,multiply('sk$uc6','sk$uc6')) != 'sk$uc7'
| X2 != 'sk$uc6'
| X1 != 'sk$uc6'
| X0 != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d292,d233]) ).
cnf(d294,plain,
( inverse(multiply(X3,multiply('sk$uc5',inverse('sk$uc7')))) != 'sk$uc7'
| inverse(X2) != 'sk$uc6'
| inverse(X1) != 'sk$uc6'
| inverse(X0) != 'sk$uc5'
| multiply(X3,'sk$uc6') != 'sk$uc7'
| X2 != 'sk$uc6'
| X1 != 'sk$uc6'
| X0 != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d293,d279]) ).
cnf(d295,plain,
( inverse(multiply(X0,multiply('sk$uc5',inverse('sk$uc7')))) != 'sk$uc7'
| inverse(X3) != 'sk$uc6'
| inverse(X2) != 'sk$uc6'
| inverse(X1) != 'sk$uc5'
| X0 != 'sk$uc7'
| X3 != 'sk$uc6'
| X2 != 'sk$uc6'
| X1 != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d294,d276]) ).
cnf(d296,plain,
( inverse(multiply(X3,multiply('sk$uc5',inverse('sk$uc7')))) != 'sk$uc7'
| inverse(X2) != 'sk$uc6'
| inverse(X1) != 'sk$uc6'
| inverse(X0) != 'sk$uc5'
| X3 != 'sk$uc6'
| X2 != 'sk$uc6'
| X1 != 'sk$uc6'
| X0 != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d295,d233]) ).
cnf(d297,plain,
( inverse(multiply(X3,multiply('sk$uc5',inverse('sk$uc7')))) != 'sk$uc7'
| inverse(X2) != 'sk$uc6'
| inverse(X1) != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| X3 != 'sk$uc6'
| X2 != 'sk$uc6'
| X1 != 'sk$uc6'
| X0 != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d296,d281]) ).
cnf(d298,plain,
( inverse(multiply(X3,multiply('sk$uc6',inverse('sk$uc7')))) != 'sk$uc7'
| inverse(X2) != 'sk$uc6'
| inverse(X1) != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| X3 != 'sk$uc6'
| X2 != 'sk$uc6'
| X1 != 'sk$uc6'
| X0 != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d297,d281]) ).
cnf(d299,plain,
( inverse(multiply(X3,inverse('sk$uc7'))) != 'sk$uc7'
| inverse(X2) != 'sk$uc6'
| inverse(X1) != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| X3 != 'sk$uc6'
| X2 != 'sk$uc6'
| X1 != 'sk$uc6'
| X0 != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d298,d279]) ).
cnf(d300,plain,
( inverse(multiply(X3,inverse('sk$uc6'))) != 'sk$uc7'
| inverse(X2) != 'sk$uc6'
| inverse(X1) != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| X3 != 'sk$uc6'
| X2 != 'sk$uc6'
| X1 != 'sk$uc6'
| X0 != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d299,d233]) ).
cnf(d301,plain,
( inverse(multiply(X3,'sk$uc6')) != 'sk$uc7'
| inverse(X2) != 'sk$uc6'
| inverse(X1) != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| X3 != 'sk$uc6'
| X2 != 'sk$uc6'
| X1 != 'sk$uc6'
| X0 != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d300,d278]) ).
cnf(d302,plain,
( inverse(X0) != 'sk$uc7'
| inverse(X3) != 'sk$uc6'
| inverse(X2) != 'sk$uc6'
| inverse(X1) != 'sk$uc6'
| X0 != 'sk$uc6'
| X3 != 'sk$uc6'
| X2 != 'sk$uc6'
| X1 != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d301,d276]) ).
cnf(d303,plain,
( inverse(X3) != 'sk$uc6'
| inverse(X2) != 'sk$uc6'
| inverse(X1) != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| X3 != 'sk$uc6'
| X2 != 'sk$uc6'
| X1 != 'sk$uc6'
| X0 != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d302,d233]) ).
cnf(d304,plain,
( inverse(X3) != 'sk$uc6'
| inverse(X2) != 'sk$uc6'
| inverse(X1) != 'sk$uc6'
| X3 != 'sk$uc6'
| X2 != 'sk$uc6'
| X1 != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| X0 != 'sk$uc6' ),
inference(superposition,[status(thm)],[d9,d303]) ).
cnf(d305,plain,
( inverse(X2) != 'sk$uc6'
| inverse(X1) != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| X2 != 'sk$uc6'
| X1 != 'sk$uc6'
| X0 != 'sk$uc6' ),
inference(factoring,[status(thm)],[d304]) ).
cnf(d306,plain,
( inverse(X1) != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| X1 != 'sk$uc6'
| X0 != 'sk$uc6' ),
inference(factoring,[status(thm)],[d305]) ).
cnf(d307,plain,
( inverse(X0) != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| X0 != 'sk$uc6' ),
inference(factoring,[status(thm)],[d306]) ).
cnf(d308,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[d12,c19]) ).
cnf(d309,plain,
inverse('sk$uc6') = identity,
inference(demodulation,[status(thm)],[d308,d275]) ).
cnf(d310,plain,
inverse('sk$uc6') = 'sk$uc6',
inference(demodulation,[status(thm)],[d309,d275]) ).
cnf(d311,plain,
( 'sk$uc6' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6' ),
inference(superposition,[status(thm)],[d310,d307]) ).
cnf(d312,plain,
$false,
inference(resolution,[status(thm)],[d177,d311]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP344-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/5.66 % Computer : n005.cluster.edu
% 0.19/5.66 % Model : x86_64 x86_64
% 0.19/5.66 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/5.66 % Memory : 8046.5625MB
% 0.19/5.66 % OS : Linux 6.8.0-71-generic
% 0.19/5.66 % CPULimit : 300
% 0.19/5.66 % WCLimit : 300
% 0.19/5.66 % DateTime : Fri Sep 25 14:46:55 UTC 2026
% 0.19/5.67 % CPUTime :
% 0.19/5.67 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 240.17/58.68 % SZS status Unsatisfiable for theBenchmark.p
% 240.17/58.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------