%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP334-1 : 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 : n014.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 07:23:36 AM UTC 2026
% Result : Unsatisfiable 88.73s 19.64s
% Output : CNFRefutation 88.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 23
% Syntax : Number of clauses : 260 ( 70 unt; 158 nHn; 198 RR)
% Number of literals : 674 ( 673 equ; 242 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 : 99 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this_1,negated_conjecture,
multiply('sk$uc6','sk$uc7') = 'sk$uc5' ).
cnf(prove_this_2,negated_conjecture,
( inverse('sk$uc6') = 'sk$uc5'
| multiply('sk$uc1','sk$uc6') = 'sk$uc7' ) ).
cnf(prove_this_3,negated_conjecture,
( inverse('sk$uc7') = 'sk$uc5'
| multiply('sk$uc1','sk$uc6') = 'sk$uc7' ) ).
cnf(prove_this_4,negated_conjecture,
( multiply('sk$uc6','sk$uc4') = 'sk$uc5'
| multiply('sk$uc1','sk$uc6') = 'sk$uc7' ) ).
cnf(prove_this_5,negated_conjecture,
( multiply('sk$uc3','sk$uc6') = 'sk$uc4'
| multiply('sk$uc1','sk$uc6') = 'sk$uc7' ) ).
cnf(prove_this_6,negated_conjecture,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc1','sk$uc6') = 'sk$uc7' ) ).
cnf(prove_this_7,negated_conjecture,
( inverse('sk$uc6') = 'sk$uc5'
| inverse('sk$uc1') = 'sk$uc6' ) ).
cnf(prove_this_8,negated_conjecture,
( inverse('sk$uc7') = 'sk$uc5'
| inverse('sk$uc1') = 'sk$uc6' ) ).
cnf(prove_this_9,negated_conjecture,
( multiply('sk$uc6','sk$uc4') = 'sk$uc5'
| inverse('sk$uc1') = 'sk$uc6' ) ).
cnf(prove_this_10,negated_conjecture,
( multiply('sk$uc3','sk$uc6') = 'sk$uc4'
| inverse('sk$uc1') = 'sk$uc6' ) ).
cnf(prove_this_11,negated_conjecture,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc1') = 'sk$uc6' ) ).
cnf(prove_this_12,negated_conjecture,
( inverse('sk$uc6') = 'sk$uc5'
| inverse('sk$uc2') = 'sk$uc6' ) ).
cnf(prove_this_13,negated_conjecture,
( inverse('sk$uc7') = 'sk$uc5'
| inverse('sk$uc2') = 'sk$uc6' ) ).
cnf(prove_this_14,negated_conjecture,
( multiply('sk$uc6','sk$uc4') = 'sk$uc5'
| inverse('sk$uc2') = 'sk$uc6' ) ).
cnf(prove_this_16,negated_conjecture,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc2') = 'sk$uc6' ) ).
cnf(prove_this_17,negated_conjecture,
( inverse('sk$uc6') = 'sk$uc5'
| multiply('sk$uc2','sk$uc5') = 'sk$uc6' ) ).
cnf(prove_this_18,negated_conjecture,
( inverse('sk$uc7') = 'sk$uc5'
| multiply('sk$uc2','sk$uc5') = 'sk$uc6' ) ).
cnf(prove_this_19,negated_conjecture,
( multiply('sk$uc6','sk$uc4') = 'sk$uc5'
| multiply('sk$uc2','sk$uc5') = 'sk$uc6' ) ).
cnf(prove_this_21,negated_conjecture,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc2','sk$uc5') = 'sk$uc6' ) ).
cnf(prove_this_22,negated_conjecture,
( inverse(X3) != 'sk$uc6'
| multiply(X3,'sk$uc6') != X2
| multiply('sk$uc6',X2) != 'sk$uc5'
| inverse('sk$uc7') != 'sk$uc5'
| inverse('sk$uc6') != 'sk$uc5'
| multiply(X1,'sk$uc5') != 'sk$uc6'
| inverse(X1) != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| multiply(X0,'sk$uc6') != 'sk$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,
( inverse('sk$uc6') = 'sk$uc5'
| multiply('sk$uc1','sk$uc6') = 'sk$uc7' ),
inference(clausification,[status(esa)],[prove_this_2]) ).
cnf(c2,plain,
( inverse('sk$uc7') = 'sk$uc5'
| multiply('sk$uc1','sk$uc6') = 'sk$uc7' ),
inference(clausification,[status(esa)],[prove_this_3]) ).
cnf(c3,plain,
( multiply('sk$uc6','sk$uc4') = 'sk$uc5'
| multiply('sk$uc1','sk$uc6') = 'sk$uc7' ),
inference(clausification,[status(esa)],[prove_this_4]) ).
cnf(c4,plain,
( multiply('sk$uc3','sk$uc6') = 'sk$uc4'
| multiply('sk$uc1','sk$uc6') = 'sk$uc7' ),
inference(clausification,[status(esa)],[prove_this_5]) ).
cnf(c5,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc1','sk$uc6') = 'sk$uc7' ),
inference(clausification,[status(esa)],[prove_this_6]) ).
cnf(c6,plain,
( inverse('sk$uc6') = 'sk$uc5'
| inverse('sk$uc1') = 'sk$uc6' ),
inference(clausification,[status(esa)],[prove_this_7]) ).
cnf(c7,plain,
( inverse('sk$uc7') = 'sk$uc5'
| inverse('sk$uc1') = 'sk$uc6' ),
inference(clausification,[status(esa)],[prove_this_8]) ).
cnf(c8,plain,
( multiply('sk$uc6','sk$uc4') = 'sk$uc5'
| inverse('sk$uc1') = 'sk$uc6' ),
inference(clausification,[status(esa)],[prove_this_9]) ).
cnf(c9,plain,
( multiply('sk$uc3','sk$uc6') = 'sk$uc4'
| inverse('sk$uc1') = 'sk$uc6' ),
inference(clausification,[status(esa)],[prove_this_10]) ).
cnf(c10,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc1') = 'sk$uc6' ),
inference(clausification,[status(esa)],[prove_this_11]) ).
cnf(c11,plain,
( inverse('sk$uc6') = 'sk$uc5'
| inverse('sk$uc2') = 'sk$uc6' ),
inference(clausification,[status(esa)],[prove_this_12]) ).
cnf(c12,plain,
( inverse('sk$uc7') = 'sk$uc5'
| inverse('sk$uc2') = 'sk$uc6' ),
inference(clausification,[status(esa)],[prove_this_13]) ).
cnf(c13,plain,
( multiply('sk$uc6','sk$uc4') = 'sk$uc5'
| inverse('sk$uc2') = 'sk$uc6' ),
inference(clausification,[status(esa)],[prove_this_14]) ).
cnf(c15,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc2') = 'sk$uc6' ),
inference(clausification,[status(esa)],[prove_this_16]) ).
cnf(c16,plain,
( inverse('sk$uc6') = 'sk$uc5'
| multiply('sk$uc2','sk$uc5') = 'sk$uc6' ),
inference(clausification,[status(esa)],[prove_this_17]) ).
cnf(c17,plain,
( inverse('sk$uc7') = 'sk$uc5'
| multiply('sk$uc2','sk$uc5') = 'sk$uc6' ),
inference(clausification,[status(esa)],[prove_this_18]) ).
cnf(c18,plain,
( multiply('sk$uc6','sk$uc4') = 'sk$uc5'
| multiply('sk$uc2','sk$uc5') = 'sk$uc6' ),
inference(clausification,[status(esa)],[prove_this_19]) ).
cnf(c20,plain,
( inverse('sk$uc3') = 'sk$uc6'
| multiply('sk$uc2','sk$uc5') = 'sk$uc6' ),
inference(clausification,[status(esa)],[prove_this_21]) ).
cnf(c21,plain,
( inverse(X3) != 'sk$uc6'
| multiply(X3,'sk$uc6') != X2
| multiply(X0,'sk$uc6') != 'sk$uc7'
| multiply(X1,'sk$uc5') != 'sk$uc6'
| multiply('sk$uc6',X2) != 'sk$uc5'
| inverse('sk$uc7') != 'sk$uc5'
| multiply('sk$uc6','sk$uc7') != 'sk$uc5'
| inverse(X1) != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| inverse('sk$uc6') != 'sk$uc5' ),
inference(clausification,[status(esa)],[prove_this_22]) ).
cnf(c22,plain,
multiply(identity,X0) = X0,
inference(clausification,[status(esa)],[left_identity]) ).
cnf(c23,plain,
multiply(inverse(X0),X0) = identity,
inference(clausification,[status(esa)],[left_inverse]) ).
cnf(c24,plain,
multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(clausification,[status(esa)],[associativity]) ).
cnf(d0,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c23,c24]) ).
cnf(d1,plain,
multiply(inverse(X1),multiply(X1,X0)) = X0,
inference(demodulation,[status(thm)],[d0,c22]) ).
cnf(d2,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[d1,d1]) ).
cnf(d3,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c23,d1]) ).
cnf(d4,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
( inverse('sk$uc7') = 'sk$uc5'
| inverse('sk$uc6') = 'sk$uc2' ),
inference(superposition,[status(thm)],[c12,d6]) ).
cnf(d8,plain,
( inverse('sk$uc6') = 'sk$uc2'
| inverse('sk$uc5') = 'sk$uc7' ),
inference(superposition,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[d2,d4]) ).
cnf(d10,plain,
X0 = inverse(inverse(X0)),
inference(demodulation,[status(thm)],[d9,d4]) ).
cnf(d11,plain,
multiply(identity,multiply(X0,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c22,c24]) ).
cnf(d12,plain,
multiply(X0,X1) = multiply(X0,X1),
inference(demodulation,[status(thm)],[d11,c22]) ).
cnf(d13,plain,
'sk$uc5' = multiply('sk$uc6','sk$uc7'),
inference(superposition,[status(thm)],[c0,d12]) ).
cnf(d14,plain,
multiply(inverse('sk$uc6'),'sk$uc5') = 'sk$uc7',
inference(superposition,[status(thm)],[d13,d1]) ).
cnf(d15,plain,
X1 = multiply(inverse(X0),multiply(X0,X1)),
inference(superposition,[status(thm)],[d1,d12]) ).
cnf(d16,plain,
( inverse('sk$uc6') = 'sk$uc5'
| multiply('sk$uc6','sk$uc2') = identity ),
inference(superposition,[status(thm)],[c11,c23]) ).
cnf(d17,plain,
( inverse('sk$uc6') = 'sk$uc5'
| multiply('sk$uc6',multiply('sk$uc2',X0)) = multiply(identity,X0) ),
inference(superposition,[status(thm)],[d16,c24]) ).
cnf(d18,plain,
( inverse('sk$uc6') = 'sk$uc5'
| multiply('sk$uc6',multiply('sk$uc2',X0)) = X0 ),
inference(demodulation,[status(thm)],[d17,c22]) ).
cnf(d19,plain,
( inverse('sk$uc6') = 'sk$uc5'
| inverse('sk$uc6') = 'sk$uc5'
| multiply('sk$uc6','sk$uc6') = 'sk$uc5' ),
inference(superposition,[status(thm)],[c16,d18]) ).
cnf(d20,plain,
( inverse('sk$uc6') = 'sk$uc5'
| 'sk$uc6' = multiply(inverse('sk$uc6'),'sk$uc5') ),
inference(superposition,[status(thm)],[d19,d15]) ).
cnf(d21,plain,
( inverse('sk$uc6') = 'sk$uc5'
| 'sk$uc6' = 'sk$uc7' ),
inference(demodulation,[status(thm)],[d20,d14]) ).
cnf(d22,plain,
( 'sk$uc6' = 'sk$uc7'
| 'sk$uc6' = inverse('sk$uc5') ),
inference(superposition,[status(thm)],[d21,d10]) ).
cnf(d23,plain,
( 'sk$uc6' = 'sk$uc7'
| inverse('sk$uc6') = 'sk$uc2'
| 'sk$uc6' = 'sk$uc7' ),
inference(superposition,[status(thm)],[d22,d8]) ).
cnf(d24,plain,
( inverse('sk$uc7') = 'sk$uc5'
| multiply('sk$uc6','sk$uc1') = identity ),
inference(superposition,[status(thm)],[c7,c23]) ).
cnf(d25,plain,
( inverse('sk$uc7') = 'sk$uc5'
| multiply('sk$uc6',multiply('sk$uc1',X0)) = multiply(identity,X0) ),
inference(superposition,[status(thm)],[d24,c24]) ).
cnf(d26,plain,
( inverse('sk$uc7') = 'sk$uc5'
| multiply('sk$uc6',multiply('sk$uc1',X0)) = X0 ),
inference(demodulation,[status(thm)],[d25,c22]) ).
cnf(d27,plain,
( inverse('sk$uc7') = 'sk$uc5'
| inverse('sk$uc7') = 'sk$uc5'
| multiply('sk$uc6','sk$uc7') = 'sk$uc6' ),
inference(superposition,[status(thm)],[c2,d26]) ).
cnf(d28,plain,
( inverse('sk$uc7') = 'sk$uc5'
| 'sk$uc5' = 'sk$uc6' ),
inference(demodulation,[status(thm)],[d27,c0]) ).
cnf(d29,plain,
( 'sk$uc5' = 'sk$uc6'
| inverse('sk$uc5') = 'sk$uc7' ),
inference(superposition,[status(thm)],[d28,d6]) ).
cnf(d30,plain,
( inverse('sk$uc6') = 'sk$uc5'
| multiply('sk$uc6','sk$uc1') = identity ),
inference(superposition,[status(thm)],[c6,c23]) ).
cnf(d31,plain,
( inverse('sk$uc6') = 'sk$uc5'
| multiply('sk$uc6',multiply('sk$uc1',X0)) = multiply(identity,X0) ),
inference(superposition,[status(thm)],[d30,c24]) ).
cnf(d32,plain,
( inverse('sk$uc6') = 'sk$uc5'
| multiply('sk$uc6',multiply('sk$uc1',X0)) = X0 ),
inference(demodulation,[status(thm)],[d31,c22]) ).
cnf(d33,plain,
( inverse('sk$uc6') = 'sk$uc5'
| inverse('sk$uc6') = 'sk$uc5'
| multiply('sk$uc6','sk$uc7') = 'sk$uc6' ),
inference(superposition,[status(thm)],[c1,d32]) ).
cnf(d34,plain,
( inverse('sk$uc6') = 'sk$uc5'
| 'sk$uc5' = 'sk$uc6' ),
inference(demodulation,[status(thm)],[d33,c0]) ).
cnf(d35,plain,
( 'sk$uc5' = 'sk$uc6'
| inverse('sk$uc5') = 'sk$uc6' ),
inference(superposition,[status(thm)],[d34,d6]) ).
cnf(d36,plain,
( 'sk$uc5' = 'sk$uc6'
| 'sk$uc5' = 'sk$uc6'
| 'sk$uc6' = 'sk$uc7' ),
inference(superposition,[status(thm)],[d35,d29]) ).
cnf(d37,plain,
( 'sk$uc6' = 'sk$uc7'
| 'sk$uc6' = 'sk$uc7'
| 'sk$uc6' = inverse('sk$uc6') ),
inference(superposition,[status(thm)],[d36,d22]) ).
cnf(d38,plain,
( 'sk$uc6' = 'sk$uc7'
| 'sk$uc6' = 'sk$uc7'
| 'sk$uc6' = 'sk$uc2' ),
inference(superposition,[status(thm)],[d37,d23]) ).
cnf(d39,plain,
identity = multiply(inverse(X0),X0),
inference(superposition,[status(thm)],[c23,d12]) ).
cnf(d40,plain,
X0 = multiply(identity,X0),
inference(superposition,[status(thm)],[c22,d12]) ).
cnf(d41,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[d40,d1]) ).
cnf(d42,plain,
multiply(inverse(inverse(identity)),X0) = X0,
inference(superposition,[status(thm)],[d41,d1]) ).
cnf(d43,plain,
identity = inverse(identity),
inference(superposition,[status(thm)],[d42,d39]) ).
cnf(d44,plain,
multiply(identity,identity) = identity,
inference(superposition,[status(thm)],[d43,c23]) ).
cnf(d45,plain,
identity = identity,
inference(demodulation,[status(thm)],[d44,c22]) ).
cnf(d46,plain,
identity = multiply(X0,inverse(X0)),
inference(superposition,[status(thm)],[d2,d39]) ).
cnf(d47,plain,
( inverse('sk$uc6') = 'sk$uc5'
| multiply('sk$uc1',multiply('sk$uc6',X0)) = multiply('sk$uc7',X0) ),
inference(superposition,[status(thm)],[c1,c24]) ).
cnf(d48,plain,
( inverse('sk$uc6') = 'sk$uc5'
| inverse('sk$uc6') = 'sk$uc5'
| multiply('sk$uc1',X0) = multiply('sk$uc7',multiply('sk$uc1',X0)) ),
inference(superposition,[status(thm)],[d32,d47]) ).
cnf(d49,plain,
( inverse('sk$uc6') = 'sk$uc5'
| multiply('sk$uc1',inverse('sk$uc1')) = multiply('sk$uc7',identity) ),
inference(superposition,[status(thm)],[d46,d48]) ).
cnf(d50,plain,
( inverse('sk$uc6') = 'sk$uc5'
| identity = multiply('sk$uc7',identity) ),
inference(demodulation,[status(thm)],[d49,d46]) ).
cnf(d51,plain,
( inverse('sk$uc6') = 'sk$uc5'
| identity = 'sk$uc7' ),
inference(demodulation,[status(thm)],[d50,d4]) ).
cnf(d52,plain,
( identity = 'sk$uc7'
| 'sk$uc6' = inverse('sk$uc5') ),
inference(superposition,[status(thm)],[d51,d10]) ).
cnf(d53,plain,
( inverse('sk$uc7') = 'sk$uc5'
| multiply('sk$uc1',multiply('sk$uc6',X0)) = multiply('sk$uc7',X0) ),
inference(superposition,[status(thm)],[c2,c24]) ).
cnf(d54,plain,
( inverse('sk$uc7') = 'sk$uc5'
| inverse('sk$uc7') = 'sk$uc5'
| multiply('sk$uc1',X0) = multiply('sk$uc7',multiply('sk$uc1',X0)) ),
inference(superposition,[status(thm)],[d26,d53]) ).
cnf(d55,plain,
( inverse('sk$uc7') = 'sk$uc5'
| multiply('sk$uc1',inverse('sk$uc1')) = multiply('sk$uc7',identity) ),
inference(superposition,[status(thm)],[d46,d54]) ).
cnf(d56,plain,
( inverse('sk$uc7') = 'sk$uc5'
| identity = multiply('sk$uc7',identity) ),
inference(demodulation,[status(thm)],[d55,d46]) ).
cnf(d57,plain,
( inverse('sk$uc7') = 'sk$uc5'
| identity = 'sk$uc7' ),
inference(demodulation,[status(thm)],[d56,d4]) ).
cnf(d58,plain,
( identity = 'sk$uc7'
| 'sk$uc7' = inverse('sk$uc5') ),
inference(superposition,[status(thm)],[d57,d10]) ).
cnf(d59,plain,
( identity = 'sk$uc7'
| identity = 'sk$uc7'
| 'sk$uc6' = 'sk$uc7' ),
inference(superposition,[status(thm)],[d58,d52]) ).
cnf(d60,plain,
( 'sk$uc6' = 'sk$uc7'
| 'sk$uc7' = identity ),
inference(superposition,[status(thm)],[d59,d45]) ).
cnf(d61,plain,
( inverse('sk$uc6') = 'sk$uc5'
| multiply('sk$uc2',multiply('sk$uc5',X0)) = multiply('sk$uc6',X0) ),
inference(superposition,[status(thm)],[c16,c24]) ).
cnf(d62,plain,
( inverse('sk$uc6') = 'sk$uc5'
| multiply('sk$uc2',identity) = multiply('sk$uc6',inverse('sk$uc5')) ),
inference(superposition,[status(thm)],[d46,d61]) ).
cnf(d63,plain,
( inverse('sk$uc6') = 'sk$uc5'
| 'sk$uc2' = multiply('sk$uc6',inverse('sk$uc5')) ),
inference(demodulation,[status(thm)],[d62,d4]) ).
cnf(d64,plain,
multiply('sk$uc6',multiply('sk$uc7',X0)) = multiply('sk$uc5',X0),
inference(superposition,[status(thm)],[c0,c24]) ).
cnf(d65,plain,
( inverse('sk$uc6') = 'sk$uc5'
| inverse('sk$uc6') = 'sk$uc5'
| multiply('sk$uc6',multiply('sk$uc7',X0)) = multiply('sk$uc6',X0) ),
inference(superposition,[status(thm)],[d47,d32]) ).
cnf(d66,plain,
( inverse('sk$uc6') = 'sk$uc5'
| multiply('sk$uc5',X0) = multiply('sk$uc6',X0) ),
inference(demodulation,[status(thm)],[d65,d64]) ).
cnf(d67,plain,
( inverse('sk$uc6') = 'sk$uc5'
| identity = multiply('sk$uc6',inverse('sk$uc5')) ),
inference(superposition,[status(thm)],[d46,d66]) ).
cnf(d68,plain,
( inverse('sk$uc6') = 'sk$uc5'
| inverse('sk$uc6') = 'sk$uc5'
| 'sk$uc2' = identity ),
inference(superposition,[status(thm)],[d67,d63]) ).
cnf(d69,plain,
( 'sk$uc2' = identity
| 'sk$uc6' = inverse('sk$uc5') ),
inference(superposition,[status(thm)],[d68,d10]) ).
cnf(d70,plain,
( inverse('sk$uc7') = 'sk$uc5'
| multiply('sk$uc2',multiply('sk$uc5',X0)) = multiply('sk$uc6',X0) ),
inference(superposition,[status(thm)],[c17,c24]) ).
cnf(d71,plain,
( inverse('sk$uc7') = 'sk$uc5'
| multiply('sk$uc2',identity) = multiply('sk$uc6',inverse('sk$uc5')) ),
inference(superposition,[status(thm)],[d46,d70]) ).
cnf(d72,plain,
( inverse('sk$uc7') = 'sk$uc5'
| 'sk$uc2' = multiply('sk$uc6',inverse('sk$uc5')) ),
inference(demodulation,[status(thm)],[d71,d4]) ).
cnf(d73,plain,
( inverse('sk$uc7') = 'sk$uc5'
| inverse('sk$uc7') = 'sk$uc5'
| multiply('sk$uc6',multiply('sk$uc7',X0)) = multiply('sk$uc6',X0) ),
inference(superposition,[status(thm)],[d53,d26]) ).
cnf(d74,plain,
( inverse('sk$uc7') = 'sk$uc5'
| multiply('sk$uc5',X0) = multiply('sk$uc6',X0) ),
inference(demodulation,[status(thm)],[d73,d64]) ).
cnf(d75,plain,
( inverse('sk$uc7') = 'sk$uc5'
| identity = multiply('sk$uc6',inverse('sk$uc5')) ),
inference(superposition,[status(thm)],[d46,d74]) ).
cnf(d76,plain,
( inverse('sk$uc7') = 'sk$uc5'
| inverse('sk$uc7') = 'sk$uc5'
| 'sk$uc2' = identity ),
inference(superposition,[status(thm)],[d75,d72]) ).
cnf(d77,plain,
( 'sk$uc2' = identity
| 'sk$uc7' = inverse('sk$uc5') ),
inference(superposition,[status(thm)],[d76,d10]) ).
cnf(d78,plain,
( 'sk$uc2' = identity
| 'sk$uc2' = identity
| 'sk$uc6' = 'sk$uc7' ),
inference(superposition,[status(thm)],[d77,d69]) ).
cnf(d79,plain,
( 'sk$uc6' = 'sk$uc7'
| 'sk$uc6' = 'sk$uc7'
| 'sk$uc7' = 'sk$uc2' ),
inference(superposition,[status(thm)],[d78,d60]) ).
cnf(d80,plain,
( 'sk$uc6' = 'sk$uc7'
| 'sk$uc6' = 'sk$uc7'
| 'sk$uc6' = 'sk$uc7' ),
inference(superposition,[status(thm)],[d79,d38]) ).
cnf(d81,plain,
( inverse('sk$uc7') != 'sk$uc5'
| inverse('sk$uc6') != 'sk$uc5'
| inverse(X0) != 'sk$uc6'
| inverse(X1) != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| multiply('sk$uc6','sk$uc7') != 'sk$uc5'
| multiply('sk$uc6','sk$uc7') != 'sk$uc5'
| multiply(X1,'sk$uc5') != 'sk$uc6'
| multiply(X0,'sk$uc6') != 'sk$uc7' ),
inference(factoring,[status(thm)],[c21]) ).
cnf(d82,plain,
( inverse('sk$uc7') != 'sk$uc5'
| inverse('sk$uc6') != 'sk$uc5'
| inverse(X1) != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| multiply(X1,'sk$uc6') != 'sk$uc7'
| multiply(X0,'sk$uc5') != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d81,c0]) ).
cnf(d83,plain,
( inverse('sk$uc7') != 'sk$uc5'
| inverse('sk$uc6') != 'sk$uc5'
| inverse(X0) != 'sk$uc6'
| inverse(inverse('sk$uc6')) != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| multiply(X0,'sk$uc6') != 'sk$uc7'
| 'sk$uc7' != 'sk$uc6' ),
inference(superposition,[status(thm)],[d14,d82]) ).
cnf(d84,plain,
( 'sk$uc6' != 'sk$uc6'
| inverse('sk$uc7') != 'sk$uc5'
| inverse('sk$uc6') != 'sk$uc5'
| inverse(X0) != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc7' != 'sk$uc6'
| multiply(X0,'sk$uc6') != 'sk$uc7' ),
inference(demodulation,[status(thm)],[d83,d6]) ).
cnf(d85,plain,
multiply('sk$uc6','sk$uc7') = multiply('sk$uc5',identity),
inference(superposition,[status(thm)],[d4,d64]) ).
cnf(d86,plain,
'sk$uc5' = multiply('sk$uc5',identity),
inference(demodulation,[status(thm)],[d85,c0]) ).
cnf(d87,plain,
'sk$uc5' = 'sk$uc5',
inference(demodulation,[status(thm)],[d86,d4]) ).
cnf(d88,plain,
( 'sk$uc6' != 'sk$uc6'
| inverse('sk$uc7') != 'sk$uc5'
| inverse('sk$uc6') != 'sk$uc5'
| inverse(X0) != 'sk$uc6'
| 'sk$uc7' != 'sk$uc6'
| multiply(X0,'sk$uc6') != 'sk$uc7' ),
inference(resolution,[status(thm)],[d87,d84]) ).
cnf(d89,plain,
multiply('sk$uc6',identity) = multiply('sk$uc5',inverse('sk$uc7')),
inference(superposition,[status(thm)],[d46,d64]) ).
cnf(d90,plain,
'sk$uc6' = multiply('sk$uc5',inverse('sk$uc7')),
inference(demodulation,[status(thm)],[d89,d4]) ).
cnf(d91,plain,
multiply('sk$uc5',X0) = multiply('sk$uc6',multiply('sk$uc7',X0)),
inference(superposition,[status(thm)],[d64,d12]) ).
cnf(d92,plain,
multiply('sk$uc5',inverse('sk$uc7')) = multiply('sk$uc6',identity),
inference(superposition,[status(thm)],[d46,d91]) ).
cnf(d93,plain,
'sk$uc6' = multiply('sk$uc6',identity),
inference(demodulation,[status(thm)],[d92,d90]) ).
cnf(d94,plain,
'sk$uc6' = 'sk$uc6',
inference(demodulation,[status(thm)],[d93,d4]) ).
cnf(d95,plain,
( inverse('sk$uc7') != 'sk$uc5'
| inverse('sk$uc6') != 'sk$uc5'
| inverse(X0) != 'sk$uc6'
| 'sk$uc7' != 'sk$uc6'
| multiply(X0,'sk$uc6') != 'sk$uc7' ),
inference(resolution,[status(thm)],[d94,d88]) ).
cnf(d96,plain,
( inverse('sk$uc1') = 'sk$uc6'
| inverse('sk$uc7') != 'sk$uc5'
| inverse('sk$uc6') != 'sk$uc5'
| inverse('sk$uc3') != 'sk$uc6'
| 'sk$uc7' != 'sk$uc6'
| 'sk$uc4' != 'sk$uc7' ),
inference(superposition,[status(thm)],[c9,d95]) ).
cnf(d97,plain,
( 'sk$uc4' != 'sk$uc7'
| inverse('sk$uc3') != 'sk$uc6'
| inverse('sk$uc1') = 'sk$uc6'
| inverse('sk$uc7') != 'sk$uc5'
| inverse('sk$uc6') != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d96,d80]) ).
cnf(d98,plain,
( 'sk$uc4' != 'sk$uc7'
| inverse('sk$uc3') != 'sk$uc6'
| inverse('sk$uc1') = 'sk$uc6'
| inverse('sk$uc6') != 'sk$uc5'
| inverse('sk$uc6') != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d97,d80]) ).
cnf(d99,plain,
( 'sk$uc4' != 'sk$uc6'
| inverse('sk$uc3') != 'sk$uc6'
| inverse('sk$uc1') = 'sk$uc6'
| inverse('sk$uc6') != 'sk$uc5'
| inverse('sk$uc6') != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d98,d80]) ).
cnf(d100,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c24,d1]) ).
cnf(d101,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[d2,d1]) ).
cnf(d102,plain,
multiply(inverse('sk$uc6'),multiply('sk$uc5',X0)) = multiply('sk$uc7',X0),
inference(superposition,[status(thm)],[d91,d1]) ).
cnf(d103,plain,
multiply('sk$uc6',multiply('sk$uc7',X0)) = multiply('sk$uc5',X0),
inference(superposition,[status(thm)],[d102,d101]) ).
cnf(d104,plain,
multiply('sk$uc6',multiply('sk$uc6',X0)) = multiply('sk$uc5',X0),
inference(demodulation,[status(thm)],[d103,d80]) ).
cnf(d105,plain,
multiply(inverse(multiply('sk$uc5',X0)),multiply('sk$uc6',multiply(multiply('sk$uc7',X0),X1))) = X1,
inference(superposition,[status(thm)],[d91,d100]) ).
cnf(d106,plain,
multiply(inverse(multiply('sk$uc5',X0)),multiply('sk$uc6',multiply('sk$uc7',multiply(X0,X1)))) = X1,
inference(demodulation,[status(thm)],[d105,c24]) ).
cnf(d107,plain,
multiply(inverse(multiply('sk$uc5',X0)),multiply('sk$uc6',multiply('sk$uc6',multiply(X0,X1)))) = X1,
inference(demodulation,[status(thm)],[d106,d80]) ).
cnf(d108,plain,
multiply(inverse(multiply('sk$uc5',X0)),multiply('sk$uc5',multiply(X0,X1))) = X1,
inference(demodulation,[status(thm)],[d107,d104]) ).
cnf(d109,plain,
X1 = X1,
inference(demodulation,[status(thm)],[d108,d100]) ).
cnf(d110,plain,
( 'sk$uc4' != 'sk$uc6'
| inverse('sk$uc3') != 'sk$uc6'
| inverse('sk$uc1') = 'sk$uc6'
| inverse('sk$uc6') != 'sk$uc5'
| inverse('sk$uc6') != 'sk$uc5' ),
inference(resolution,[status(thm)],[d109,d99]) ).
cnf(d111,plain,
( 'sk$uc4' != 'sk$uc6'
| inverse('sk$uc3') != 'sk$uc6'
| inverse('sk$uc1') = 'sk$uc6'
| inverse('sk$uc1') = 'sk$uc6' ),
inference(resolution,[status(thm)],[c6,d110]) ).
cnf(d112,plain,
( 'sk$uc4' != 'sk$uc6'
| inverse('sk$uc1') = 'sk$uc6'
| inverse('sk$uc1') = 'sk$uc6' ),
inference(resolution,[status(thm)],[c10,d111]) ).
cnf(d113,plain,
( inverse('sk$uc1') = 'sk$uc6'
| 'sk$uc4' = multiply(inverse('sk$uc6'),'sk$uc5') ),
inference(superposition,[status(thm)],[c8,d15]) ).
cnf(d114,plain,
( 'sk$uc4' = 'sk$uc7'
| inverse('sk$uc1') = 'sk$uc6' ),
inference(demodulation,[status(thm)],[d113,d14]) ).
cnf(d115,plain,
( 'sk$uc4' = 'sk$uc6'
| inverse('sk$uc1') = 'sk$uc6' ),
inference(demodulation,[status(thm)],[d114,d80]) ).
cnf(d116,plain,
( inverse('sk$uc1') = 'sk$uc6'
| inverse('sk$uc1') = 'sk$uc6' ),
inference(resolution,[status(thm)],[d115,d112]) ).
cnf(d117,plain,
inverse('sk$uc6') = 'sk$uc1',
inference(superposition,[status(thm)],[d116,d6]) ).
cnf(d118,plain,
inverse(X0) = multiply(inverse(X0),identity),
inference(superposition,[status(thm)],[d46,d15]) ).
cnf(d119,plain,
inverse(X0) = inverse(X0),
inference(demodulation,[status(thm)],[d118,d4]) ).
cnf(d120,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[d2,c23]) ).
cnf(d121,plain,
( inverse('sk$uc6') = 'sk$uc5'
| multiply('sk$uc6',inverse('sk$uc5')) = identity ),
inference(superposition,[status(thm)],[d66,d120]) ).
cnf(d122,plain,
( inverse('sk$uc6') = 'sk$uc5'
| multiply('sk$uc1',multiply(inverse('sk$uc1'),X0)) = multiply('sk$uc7',X0) ),
inference(superposition,[status(thm)],[d101,d48]) ).
cnf(d123,plain,
( inverse('sk$uc6') = 'sk$uc5'
| X0 = multiply('sk$uc7',X0) ),
inference(demodulation,[status(thm)],[d122,d101]) ).
cnf(d124,plain,
( inverse('sk$uc6') = 'sk$uc5'
| X0 = multiply('sk$uc6',X0) ),
inference(demodulation,[status(thm)],[d123,d80]) ).
cnf(d125,plain,
( inverse('sk$uc6') = 'sk$uc5'
| inverse('sk$uc6') = 'sk$uc5'
| inverse('sk$uc5') = identity ),
inference(superposition,[status(thm)],[d124,d121]) ).
cnf(d126,plain,
( inverse('sk$uc6') = 'sk$uc5'
| 'sk$uc5' = inverse(identity) ),
inference(superposition,[status(thm)],[d125,d10]) ).
cnf(d127,plain,
( inverse('sk$uc6') = 'sk$uc5'
| 'sk$uc5' = identity ),
inference(demodulation,[status(thm)],[d126,d43]) ).
cnf(d128,plain,
( 'sk$uc5' = identity
| 'sk$uc5' = inverse('sk$uc6') ),
inference(superposition,[status(thm)],[d127,d119]) ).
cnf(d129,plain,
( 'sk$uc5' = identity
| 'sk$uc5' = 'sk$uc1' ),
inference(demodulation,[status(thm)],[d128,d117]) ).
cnf(d130,plain,
( inverse('sk$uc6') = 'sk$uc5'
| identity = multiply('sk$uc6','sk$uc1') ),
inference(superposition,[status(thm)],[d30,d12]) ).
cnf(d131,plain,
( inverse('sk$uc6') = 'sk$uc5'
| inverse('sk$uc6') = 'sk$uc5'
| multiply('sk$uc1',identity) = multiply('sk$uc7','sk$uc1') ),
inference(superposition,[status(thm)],[d130,d47]) ).
cnf(d132,plain,
( inverse('sk$uc6') = 'sk$uc5'
| 'sk$uc1' = multiply('sk$uc7','sk$uc1') ),
inference(demodulation,[status(thm)],[d131,d4]) ).
cnf(d133,plain,
( inverse('sk$uc6') = 'sk$uc5'
| 'sk$uc1' = multiply('sk$uc7','sk$uc1') ),
inference(superposition,[status(thm)],[d132,d12]) ).
cnf(d134,plain,
( 'sk$uc1' = multiply('sk$uc6','sk$uc1')
| inverse('sk$uc6') = 'sk$uc5' ),
inference(demodulation,[status(thm)],[d133,d80]) ).
cnf(d135,plain,
( inverse('sk$uc6') = 'sk$uc5'
| inverse('sk$uc6') = 'sk$uc5'
| 'sk$uc1' = identity ),
inference(superposition,[status(thm)],[d134,d30]) ).
cnf(d136,plain,
( 'sk$uc1' = identity
| 'sk$uc5' = inverse('sk$uc6') ),
inference(superposition,[status(thm)],[d135,d119]) ).
cnf(d137,plain,
( 'sk$uc1' = identity
| 'sk$uc5' = 'sk$uc1' ),
inference(demodulation,[status(thm)],[d136,d117]) ).
cnf(d138,plain,
( 'sk$uc5' = 'sk$uc1'
| 'sk$uc5' = 'sk$uc1'
| 'sk$uc5' = 'sk$uc1' ),
inference(superposition,[status(thm)],[d137,d129]) ).
cnf(d139,plain,
'sk$uc6' = multiply('sk$uc5',inverse('sk$uc6')),
inference(demodulation,[status(thm)],[d90,d80]) ).
cnf(d140,plain,
'sk$uc6' = multiply('sk$uc5','sk$uc1'),
inference(demodulation,[status(thm)],[d139,d117]) ).
cnf(d141,plain,
'sk$uc6' = multiply('sk$uc5','sk$uc5'),
inference(demodulation,[status(thm)],[d140,d138]) ).
cnf(d142,plain,
( 'sk$uc5' = 'sk$uc6'
| 'sk$uc5' = inverse('sk$uc7') ),
inference(superposition,[status(thm)],[d28,d119]) ).
cnf(d143,plain,
( 'sk$uc5' = 'sk$uc6'
| 'sk$uc6' = multiply('sk$uc5','sk$uc5') ),
inference(superposition,[status(thm)],[d142,d90]) ).
cnf(d144,plain,
( 'sk$uc5' = 'sk$uc6'
| X0 = multiply('sk$uc5',multiply('sk$uc6',X0)) ),
inference(superposition,[status(thm)],[d34,d15]) ).
cnf(d145,plain,
( multiply('sk$uc6','sk$uc4') = 'sk$uc5'
| inverse('sk$uc7') != 'sk$uc5'
| inverse('sk$uc6') != 'sk$uc5'
| inverse(X0) != 'sk$uc6'
| inverse('sk$uc2') != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| multiply(X0,'sk$uc6') != 'sk$uc7'
| 'sk$uc6' != 'sk$uc6' ),
inference(superposition,[status(thm)],[c18,d82]) ).
cnf(d146,plain,
( inverse('sk$uc7') != 'sk$uc5'
| inverse('sk$uc6') != 'sk$uc5'
| inverse(X0) != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6'
| multiply('sk$uc6','sk$uc4') = 'sk$uc5'
| multiply(X0,'sk$uc6') != 'sk$uc7'
| multiply('sk$uc6','sk$uc4') = 'sk$uc5' ),
inference(resolution,[status(thm)],[c13,d145]) ).
cnf(d147,plain,
( multiply('sk$uc6','sk$uc4') = 'sk$uc5'
| inverse('sk$uc7') != 'sk$uc5'
| inverse('sk$uc6') != 'sk$uc5'
| inverse('sk$uc1') != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6'
| multiply('sk$uc6','sk$uc4') = 'sk$uc5'
| 'sk$uc7' != 'sk$uc7' ),
inference(superposition,[status(thm)],[c3,d146]) ).
cnf(d148,plain,
( inverse('sk$uc7') != 'sk$uc5'
| inverse('sk$uc6') != 'sk$uc5'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc7' != 'sk$uc7'
| 'sk$uc6' != 'sk$uc6'
| multiply('sk$uc6','sk$uc4') = 'sk$uc5'
| multiply('sk$uc6','sk$uc4') = 'sk$uc5' ),
inference(resolution,[status(thm)],[c8,d147]) ).
cnf(d149,plain,
( 'sk$uc5' = 'sk$uc6'
| inverse('sk$uc6') != 'sk$uc5'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc7' != 'sk$uc7'
| 'sk$uc6' != 'sk$uc6'
| multiply('sk$uc6','sk$uc4') = 'sk$uc5'
| 'sk$uc5' != 'sk$uc5' ),
inference(superposition,[status(thm)],[d28,d148]) ).
cnf(d150,plain,
( inverse('sk$uc6') != 'sk$uc5'
| 'sk$uc5' = 'sk$uc6'
| 'sk$uc7' != 'sk$uc7'
| 'sk$uc6' != 'sk$uc6'
| multiply('sk$uc6','sk$uc4') = 'sk$uc5' ),
inference(resolution,[status(thm)],[d87,d149]) ).
cnf(d151,plain,
( inverse('sk$uc6') != 'sk$uc5'
| 'sk$uc5' = 'sk$uc6'
| 'sk$uc7' != 'sk$uc7'
| multiply('sk$uc6','sk$uc4') = 'sk$uc5' ),
inference(resolution,[status(thm)],[d94,d150]) ).
cnf(d152,plain,
X0 = multiply(inverse(inverse(X0)),identity),
inference(superposition,[status(thm)],[d3,d12]) ).
cnf(d153,plain,
X0 = multiply(X0,identity),
inference(demodulation,[status(thm)],[d152,d2]) ).
cnf(d154,plain,
multiply(inverse('sk$uc6'),'sk$uc5') = multiply('sk$uc7',identity),
inference(superposition,[status(thm)],[d153,d102]) ).
cnf(d155,plain,
'sk$uc7' = multiply('sk$uc7',identity),
inference(demodulation,[status(thm)],[d154,d14]) ).
cnf(d156,plain,
'sk$uc7' = 'sk$uc7',
inference(demodulation,[status(thm)],[d155,d4]) ).
cnf(d157,plain,
( inverse('sk$uc6') != 'sk$uc5'
| 'sk$uc5' = 'sk$uc6'
| multiply('sk$uc6','sk$uc4') = 'sk$uc5' ),
inference(resolution,[status(thm)],[d156,d151]) ).
cnf(d158,plain,
( 'sk$uc5' = 'sk$uc6'
| multiply('sk$uc6','sk$uc4') = 'sk$uc5'
| 'sk$uc5' = 'sk$uc6' ),
inference(resolution,[status(thm)],[d34,d157]) ).
cnf(d159,plain,
( 'sk$uc5' = 'sk$uc6'
| 'sk$uc5' = 'sk$uc6'
| 'sk$uc4' = multiply('sk$uc5','sk$uc5') ),
inference(superposition,[status(thm)],[d158,d144]) ).
cnf(d160,plain,
( 'sk$uc5' = 'sk$uc6'
| 'sk$uc5' = 'sk$uc6'
| 'sk$uc6' = 'sk$uc4' ),
inference(superposition,[status(thm)],[d159,d143]) ).
cnf(d161,plain,
multiply(inverse('sk$uc5'),'sk$uc6') = inverse('sk$uc7'),
inference(superposition,[status(thm)],[d90,d1]) ).
cnf(d162,plain,
( inverse('sk$uc7') != 'sk$uc5'
| inverse('sk$uc6') != 'sk$uc5'
| inverse(inverse('sk$uc5')) != 'sk$uc6'
| 'sk$uc7' != 'sk$uc6'
| inverse('sk$uc7') != 'sk$uc7' ),
inference(superposition,[status(thm)],[d161,d95]) ).
cnf(d163,plain,
( inverse(inverse('sk$uc5')) != 'sk$uc6'
| inverse('sk$uc7') != 'sk$uc5'
| inverse('sk$uc7') != 'sk$uc7'
| inverse('sk$uc6') != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d162,d80]) ).
cnf(d164,plain,
( inverse(inverse('sk$uc5')) != 'sk$uc6'
| inverse('sk$uc7') != 'sk$uc5'
| inverse('sk$uc7') != 'sk$uc7'
| 'sk$uc1' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d163,d117]) ).
cnf(d165,plain,
( inverse(inverse('sk$uc5')) != 'sk$uc6'
| inverse('sk$uc7') != 'sk$uc5'
| inverse('sk$uc6') != 'sk$uc7'
| 'sk$uc1' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d164,d80]) ).
cnf(d166,plain,
( inverse(inverse('sk$uc5')) != 'sk$uc6'
| inverse('sk$uc7') != 'sk$uc5'
| 'sk$uc1' != 'sk$uc7'
| 'sk$uc1' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d165,d117]) ).
cnf(d167,plain,
( inverse(inverse('sk$uc5')) != 'sk$uc6'
| inverse('sk$uc7') != 'sk$uc5'
| 'sk$uc1' != 'sk$uc6'
| 'sk$uc1' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d166,d80]) ).
cnf(d168,plain,
( inverse(inverse('sk$uc5')) != 'sk$uc6'
| inverse('sk$uc6') != 'sk$uc5'
| 'sk$uc1' != 'sk$uc6'
| 'sk$uc1' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d167,d80]) ).
cnf(d169,plain,
( inverse(inverse('sk$uc5')) != 'sk$uc6'
| 'sk$uc1' != 'sk$uc5'
| 'sk$uc1' != 'sk$uc6'
| 'sk$uc1' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d168,d117]) ).
cnf(d170,plain,
( 'sk$uc5' != 'sk$uc6'
| 'sk$uc1' != 'sk$uc5'
| 'sk$uc1' != 'sk$uc6'
| 'sk$uc1' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d169,d6]) ).
cnf(d171,plain,
( 'sk$uc5' != 'sk$uc6'
| 'sk$uc1' != 'sk$uc5'
| 'sk$uc1' != 'sk$uc6'
| 'sk$uc1' != 'sk$uc5' ),
inference(resolution,[status(thm)],[d109,d170]) ).
cnf(d172,plain,
( 'sk$uc1' != 'sk$uc5'
| 'sk$uc5' != 'sk$uc6'
| 'sk$uc5' != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d171,d138]) ).
cnf(d173,plain,
( 'sk$uc5' != 'sk$uc5'
| 'sk$uc5' != 'sk$uc6'
| 'sk$uc5' != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d172,d138]) ).
cnf(d174,plain,
'sk$uc5' != 'sk$uc6',
inference(resolution,[status(thm)],[d109,d173]) ).
cnf(d175,plain,
'sk$uc6' = 'sk$uc4',
inference(resolution,[status(thm)],[d174,d160]) ).
cnf(d176,plain,
identity = multiply('sk$uc1','sk$uc6'),
inference(superposition,[status(thm)],[d116,d46]) ).
cnf(d177,plain,
identity = multiply('sk$uc5','sk$uc6'),
inference(demodulation,[status(thm)],[d176,d138]) ).
cnf(d178,plain,
( 'sk$uc5' = 'sk$uc6'
| 'sk$uc5' = inverse('sk$uc6') ),
inference(superposition,[status(thm)],[d34,d119]) ).
cnf(d179,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc7') != 'sk$uc5'
| inverse('sk$uc6') != 'sk$uc5'
| inverse(X0) != 'sk$uc6'
| inverse('sk$uc2') != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| multiply(X0,'sk$uc6') != 'sk$uc7'
| 'sk$uc6' != 'sk$uc6' ),
inference(superposition,[status(thm)],[c20,d82]) ).
cnf(d180,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc7') != 'sk$uc5'
| inverse('sk$uc6') != 'sk$uc5'
| inverse(X0) != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6'
| multiply(X0,'sk$uc6') != 'sk$uc7'
| inverse('sk$uc3') = 'sk$uc6' ),
inference(resolution,[status(thm)],[c15,d179]) ).
cnf(d181,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc7') != 'sk$uc5'
| inverse('sk$uc6') != 'sk$uc5'
| inverse('sk$uc1') != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc7' != 'sk$uc7' ),
inference(superposition,[status(thm)],[c5,d180]) ).
cnf(d182,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc7') != 'sk$uc5'
| inverse('sk$uc6') != 'sk$uc5'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc7' != 'sk$uc7'
| 'sk$uc6' != 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6' ),
inference(resolution,[status(thm)],[c10,d181]) ).
cnf(d183,plain,
( 'sk$uc5' = 'sk$uc6'
| inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc6') != 'sk$uc5'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc7' != 'sk$uc7'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5' ),
inference(superposition,[status(thm)],[d28,d182]) ).
cnf(d184,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc6') != 'sk$uc5'
| 'sk$uc5' = 'sk$uc6'
| 'sk$uc7' != 'sk$uc7'
| 'sk$uc6' != 'sk$uc6' ),
inference(resolution,[status(thm)],[d87,d183]) ).
cnf(d185,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc6') != 'sk$uc5'
| 'sk$uc5' = 'sk$uc6'
| 'sk$uc7' != 'sk$uc7' ),
inference(resolution,[status(thm)],[d94,d184]) ).
cnf(d186,plain,
( inverse('sk$uc3') = 'sk$uc6'
| inverse('sk$uc6') != 'sk$uc5'
| 'sk$uc5' = 'sk$uc6' ),
inference(resolution,[status(thm)],[d156,d185]) ).
cnf(d187,plain,
( inverse('sk$uc3') = 'sk$uc6'
| 'sk$uc5' = 'sk$uc6'
| 'sk$uc5' = 'sk$uc6' ),
inference(resolution,[status(thm)],[d34,d186]) ).
cnf(d188,plain,
( 'sk$uc5' = 'sk$uc6'
| 'sk$uc3' = inverse('sk$uc6') ),
inference(superposition,[status(thm)],[d187,d10]) ).
cnf(d189,plain,
( 'sk$uc5' = 'sk$uc6'
| 'sk$uc5' = 'sk$uc6'
| 'sk$uc5' = 'sk$uc3' ),
inference(superposition,[status(thm)],[d188,d178]) ).
cnf(d190,plain,
'sk$uc5' = 'sk$uc3',
inference(resolution,[status(thm)],[d174,d189]) ).
cnf(d191,plain,
( multiply('sk$uc1','sk$uc6') = 'sk$uc7'
| multiply('sk$uc3',multiply('sk$uc6',X0)) = multiply('sk$uc4',X0) ),
inference(superposition,[status(thm)],[c4,c24]) ).
cnf(d192,plain,
( multiply('sk$uc1','sk$uc6') = 'sk$uc7'
| multiply('sk$uc3',multiply('sk$uc5',X0)) = multiply('sk$uc4',multiply('sk$uc7',X0)) ),
inference(superposition,[status(thm)],[d64,d191]) ).
cnf(d193,plain,
( 'sk$uc5' = 'sk$uc6'
| multiply('sk$uc1','sk$uc6') = 'sk$uc7'
| multiply('sk$uc3','sk$uc6') = multiply('sk$uc4',multiply('sk$uc7','sk$uc5')) ),
inference(superposition,[status(thm)],[d143,d192]) ).
cnf(d194,plain,
( 'sk$uc5' = 'sk$uc6'
| multiply('sk$uc3','sk$uc6') = multiply('sk$uc4',multiply('sk$uc7','sk$uc5'))
| multiply('sk$uc5','sk$uc6') = 'sk$uc7' ),
inference(demodulation,[status(thm)],[d193,d138]) ).
cnf(d195,plain,
( 'sk$uc5' = 'sk$uc6'
| multiply('sk$uc3','sk$uc6') = multiply('sk$uc4',multiply('sk$uc7','sk$uc5'))
| identity = 'sk$uc7' ),
inference(demodulation,[status(thm)],[d194,d177]) ).
cnf(d196,plain,
( 'sk$uc5' = 'sk$uc6'
| multiply('sk$uc3','sk$uc6') = multiply('sk$uc4',multiply('sk$uc7','sk$uc5'))
| identity = 'sk$uc6' ),
inference(demodulation,[status(thm)],[d195,d80]) ).
cnf(d197,plain,
( 'sk$uc5' = 'sk$uc6'
| multiply('sk$uc5','sk$uc6') = multiply('sk$uc4',multiply('sk$uc7','sk$uc5'))
| identity = 'sk$uc6' ),
inference(demodulation,[status(thm)],[d196,d190]) ).
cnf(d198,plain,
( 'sk$uc5' = 'sk$uc6'
| identity = multiply('sk$uc4',multiply('sk$uc7','sk$uc5'))
| identity = 'sk$uc6' ),
inference(demodulation,[status(thm)],[d197,d177]) ).
cnf(d199,plain,
( 'sk$uc5' = 'sk$uc6'
| identity = multiply('sk$uc6',multiply('sk$uc7','sk$uc5'))
| identity = 'sk$uc6' ),
inference(demodulation,[status(thm)],[d198,d175]) ).
cnf(d200,plain,
( 'sk$uc5' = 'sk$uc6'
| identity = multiply('sk$uc6',multiply('sk$uc6','sk$uc5'))
| identity = 'sk$uc6' ),
inference(demodulation,[status(thm)],[d199,d80]) ).
cnf(d201,plain,
( 'sk$uc5' = 'sk$uc6'
| identity = multiply('sk$uc5','sk$uc5')
| identity = 'sk$uc6' ),
inference(demodulation,[status(thm)],[d200,d104]) ).
cnf(d202,plain,
( 'sk$uc5' = 'sk$uc6'
| identity = 'sk$uc6'
| identity = 'sk$uc6' ),
inference(demodulation,[status(thm)],[d201,d141]) ).
cnf(d203,plain,
( identity = 'sk$uc6'
| identity = 'sk$uc6' ),
inference(resolution,[status(thm)],[d174,d202]) ).
cnf(d204,plain,
( 'sk$uc5' = 'sk$uc6'
| identity = multiply('sk$uc5','sk$uc6') ),
inference(superposition,[status(thm)],[d34,d39]) ).
cnf(d205,plain,
( 'sk$uc5' = 'sk$uc6'
| inverse('sk$uc7') != 'sk$uc5'
| inverse('sk$uc6') != 'sk$uc5'
| inverse('sk$uc5') != 'sk$uc6'
| 'sk$uc7' != 'sk$uc6'
| identity != 'sk$uc7' ),
inference(superposition,[status(thm)],[d204,d95]) ).
cnf(d206,plain,
( identity != 'sk$uc7'
| inverse('sk$uc5') != 'sk$uc6'
| inverse('sk$uc7') != 'sk$uc5'
| inverse('sk$uc6') != 'sk$uc5'
| 'sk$uc5' = 'sk$uc6'
| 'sk$uc6' != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d205,d80]) ).
cnf(d207,plain,
( identity != 'sk$uc7'
| inverse('sk$uc5') != 'sk$uc6'
| inverse('sk$uc6') != 'sk$uc5'
| inverse('sk$uc6') != 'sk$uc5'
| 'sk$uc5' = 'sk$uc6'
| 'sk$uc6' != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d206,d80]) ).
cnf(d208,plain,
( identity != 'sk$uc6'
| inverse('sk$uc5') != 'sk$uc6'
| inverse('sk$uc6') != 'sk$uc5'
| inverse('sk$uc6') != 'sk$uc5'
| 'sk$uc5' = 'sk$uc6'
| 'sk$uc6' != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d207,d80]) ).
cnf(d209,plain,
( identity != 'sk$uc6'
| inverse('sk$uc5') != 'sk$uc6'
| inverse('sk$uc6') != 'sk$uc5'
| inverse('sk$uc6') != 'sk$uc5'
| 'sk$uc5' = 'sk$uc6' ),
inference(resolution,[status(thm)],[d109,d208]) ).
cnf(d210,plain,
( identity != 'sk$uc6'
| inverse('sk$uc5') != 'sk$uc6'
| 'sk$uc5' = 'sk$uc6'
| 'sk$uc5' = 'sk$uc6' ),
inference(resolution,[status(thm)],[d34,d209]) ).
cnf(d211,plain,
( identity != 'sk$uc6'
| 'sk$uc5' = 'sk$uc6'
| 'sk$uc5' = 'sk$uc6' ),
inference(resolution,[status(thm)],[d35,d210]) ).
cnf(d212,plain,
identity != 'sk$uc6',
inference(resolution,[status(thm)],[d174,d211]) ).
cnf(d213,plain,
$false,
inference(resolution,[status(thm)],[d212,d203]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP334-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n014.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Fri Sep 25 14:46:34 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 88.73/19.64 % SZS status Unsatisfiable for theBenchmark.p
% 88.73/19.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------