%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP274-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:23:31 AM UTC 2026
% Result : Unsatisfiable 201.68s 34.46s
% Output : CNFRefutation 201.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 24
% Syntax : Number of clauses : 213 ( 45 unt; 142 nHn; 156 RR)
% Number of literals : 555 ( 554 equ; 189 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 4 ( 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 : 90 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this_2,negated_conjecture,
( inverse('sk$uc3') = 'sk$uc7'
| multiply('sk$uc1','sk$uc7') = 'sk$uc6' ) ).
cnf(prove_this_3,negated_conjecture,
( multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| multiply('sk$uc1','sk$uc7') = 'sk$uc6' ) ).
cnf(prove_this_4,negated_conjecture,
( inverse('sk$uc4') = 'sk$uc6'
| multiply('sk$uc1','sk$uc7') = 'sk$uc6' ) ).
cnf(prove_this_5,negated_conjecture,
( multiply('sk$uc4','sk$uc5') = 'sk$uc6'
| multiply('sk$uc1','sk$uc7') = 'sk$uc6' ) ).
cnf(prove_this_7,negated_conjecture,
( inverse('sk$uc3') = 'sk$uc7'
| inverse('sk$uc1') = 'sk$uc7' ) ).
cnf(prove_this_8,negated_conjecture,
( multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| inverse('sk$uc1') = 'sk$uc7' ) ).
cnf(prove_this_9,negated_conjecture,
( inverse('sk$uc4') = 'sk$uc6'
| inverse('sk$uc1') = 'sk$uc7' ) ).
cnf(prove_this_11,negated_conjecture,
( multiply('sk$uc6','sk$uc7') = 'sk$uc5'
| multiply('sk$uc7','sk$uc5') = 'sk$uc6' ) ).
cnf(prove_this_13,negated_conjecture,
( multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| multiply('sk$uc7','sk$uc5') = 'sk$uc6' ) ).
cnf(prove_this_15,negated_conjecture,
( multiply('sk$uc4','sk$uc5') = 'sk$uc6'
| multiply('sk$uc7','sk$uc5') = 'sk$uc6' ) ).
cnf(prove_this_16,negated_conjecture,
( multiply('sk$uc6','sk$uc7') = 'sk$uc5'
| multiply('sk$uc2','sk$uc5') = 'sk$uc7' ) ).
cnf(prove_this_17,negated_conjecture,
( inverse('sk$uc3') = 'sk$uc7'
| multiply('sk$uc2','sk$uc5') = 'sk$uc7' ) ).
cnf(prove_this_18,negated_conjecture,
( multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| multiply('sk$uc2','sk$uc5') = 'sk$uc7' ) ).
cnf(prove_this_19,negated_conjecture,
( inverse('sk$uc4') = 'sk$uc6'
| multiply('sk$uc2','sk$uc5') = 'sk$uc7' ) ).
cnf(prove_this_20,negated_conjecture,
( multiply('sk$uc4','sk$uc5') = 'sk$uc6'
| multiply('sk$uc2','sk$uc5') = 'sk$uc7' ) ).
cnf(prove_this_21,negated_conjecture,
( multiply('sk$uc6','sk$uc7') = 'sk$uc5'
| inverse('sk$uc2') = 'sk$uc5' ) ).
cnf(prove_this_22,negated_conjecture,
( inverse('sk$uc3') = 'sk$uc7'
| inverse('sk$uc2') = 'sk$uc5' ) ).
cnf(prove_this_23,negated_conjecture,
( multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| inverse('sk$uc2') = 'sk$uc5' ) ).
cnf(prove_this_24,negated_conjecture,
( inverse('sk$uc4') = 'sk$uc6'
| inverse('sk$uc2') = 'sk$uc5' ) ).
cnf(prove_this_25,negated_conjecture,
( multiply('sk$uc4','sk$uc5') = 'sk$uc6'
| inverse('sk$uc2') = 'sk$uc5' ) ).
cnf(prove_this_26,negated_conjecture,
( multiply(X3,'sk$uc5') != 'sk$uc6'
| inverse(X3) != 'sk$uc6'
| multiply(X2,'sk$uc6') != 'sk$uc7'
| inverse(X2) != 'sk$uc7'
| multiply('sk$uc6','sk$uc7') != 'sk$uc5'
| inverse(X1) != 'sk$uc5'
| multiply(X1,'sk$uc5') != 'sk$uc7'
| multiply('sk$uc7','sk$uc5') != 'sk$uc6'
| inverse(X0) != 'sk$uc7'
| multiply(X0,'sk$uc7') != 'sk$uc6' ) ).
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(c1,plain,
( inverse('sk$uc3') = 'sk$uc7'
| multiply('sk$uc1','sk$uc7') = 'sk$uc6' ),
inference(clausification,[status(esa)],[prove_this_2]) ).
cnf(c2,plain,
( multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| multiply('sk$uc1','sk$uc7') = 'sk$uc6' ),
inference(clausification,[status(esa)],[prove_this_3]) ).
cnf(c3,plain,
( inverse('sk$uc4') = 'sk$uc6'
| multiply('sk$uc1','sk$uc7') = 'sk$uc6' ),
inference(clausification,[status(esa)],[prove_this_4]) ).
cnf(c4,plain,
( multiply('sk$uc4','sk$uc5') = 'sk$uc6'
| multiply('sk$uc1','sk$uc7') = 'sk$uc6' ),
inference(clausification,[status(esa)],[prove_this_5]) ).
cnf(c6,plain,
( inverse('sk$uc3') = 'sk$uc7'
| inverse('sk$uc1') = 'sk$uc7' ),
inference(clausification,[status(esa)],[prove_this_7]) ).
cnf(c7,plain,
( multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| inverse('sk$uc1') = 'sk$uc7' ),
inference(clausification,[status(esa)],[prove_this_8]) ).
cnf(c8,plain,
( inverse('sk$uc4') = 'sk$uc6'
| inverse('sk$uc1') = 'sk$uc7' ),
inference(clausification,[status(esa)],[prove_this_9]) ).
cnf(c10,plain,
( multiply('sk$uc6','sk$uc7') = 'sk$uc5'
| multiply('sk$uc7','sk$uc5') = 'sk$uc6' ),
inference(clausification,[status(esa)],[prove_this_11]) ).
cnf(c12,plain,
( multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| multiply('sk$uc7','sk$uc5') = 'sk$uc6' ),
inference(clausification,[status(esa)],[prove_this_13]) ).
cnf(c14,plain,
( multiply('sk$uc4','sk$uc5') = 'sk$uc6'
| multiply('sk$uc7','sk$uc5') = 'sk$uc6' ),
inference(clausification,[status(esa)],[prove_this_15]) ).
cnf(c15,plain,
( multiply('sk$uc6','sk$uc7') = 'sk$uc5'
| multiply('sk$uc2','sk$uc5') = 'sk$uc7' ),
inference(clausification,[status(esa)],[prove_this_16]) ).
cnf(c16,plain,
( inverse('sk$uc3') = 'sk$uc7'
| multiply('sk$uc2','sk$uc5') = 'sk$uc7' ),
inference(clausification,[status(esa)],[prove_this_17]) ).
cnf(c17,plain,
( multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| multiply('sk$uc2','sk$uc5') = 'sk$uc7' ),
inference(clausification,[status(esa)],[prove_this_18]) ).
cnf(c18,plain,
( inverse('sk$uc4') = 'sk$uc6'
| multiply('sk$uc2','sk$uc5') = 'sk$uc7' ),
inference(clausification,[status(esa)],[prove_this_19]) ).
cnf(c19,plain,
( multiply('sk$uc4','sk$uc5') = 'sk$uc6'
| multiply('sk$uc2','sk$uc5') = 'sk$uc7' ),
inference(clausification,[status(esa)],[prove_this_20]) ).
cnf(c20,plain,
( multiply('sk$uc6','sk$uc7') = 'sk$uc5'
| inverse('sk$uc2') = 'sk$uc5' ),
inference(clausification,[status(esa)],[prove_this_21]) ).
cnf(c21,plain,
( inverse('sk$uc3') = 'sk$uc7'
| inverse('sk$uc2') = 'sk$uc5' ),
inference(clausification,[status(esa)],[prove_this_22]) ).
cnf(c22,plain,
( multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| inverse('sk$uc2') = 'sk$uc5' ),
inference(clausification,[status(esa)],[prove_this_23]) ).
cnf(c23,plain,
( inverse('sk$uc4') = 'sk$uc6'
| inverse('sk$uc2') = 'sk$uc5' ),
inference(clausification,[status(esa)],[prove_this_24]) ).
cnf(c24,plain,
( multiply('sk$uc4','sk$uc5') = 'sk$uc6'
| inverse('sk$uc2') = 'sk$uc5' ),
inference(clausification,[status(esa)],[prove_this_25]) ).
cnf(c25,plain,
( multiply(X3,'sk$uc5') != 'sk$uc6'
| multiply('sk$uc7','sk$uc5') != 'sk$uc6'
| multiply(X1,'sk$uc5') != 'sk$uc7'
| multiply(X2,'sk$uc7') != 'sk$uc6'
| inverse(X3) != 'sk$uc6'
| multiply('sk$uc6','sk$uc7') != 'sk$uc5'
| inverse(X2) != 'sk$uc7'
| inverse(X0) != 'sk$uc7'
| inverse(X1) != 'sk$uc5'
| multiply(X0,'sk$uc6') != 'sk$uc7' ),
inference(clausification,[status(esa)],[prove_this_26]) ).
cnf(c26,plain,
multiply(identity,X0) = X0,
inference(clausification,[status(esa)],[left_identity]) ).
cnf(c27,plain,
multiply(inverse(X0),X0) = identity,
inference(clausification,[status(esa)],[left_inverse]) ).
cnf(c28,plain,
multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(clausification,[status(esa)],[associativity]) ).
cnf(d0,plain,
multiply(identity,multiply(X0,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c26,c28]) ).
cnf(d1,plain,
multiply(X0,X1) = multiply(X0,X1),
inference(demodulation,[status(thm)],[d0,c26]) ).
cnf(d2,plain,
identity = multiply(inverse(X0),X0),
inference(superposition,[status(thm)],[c27,d1]) ).
cnf(d3,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c27,c28]) ).
cnf(d4,plain,
multiply(inverse(X1),multiply(X1,X0)) = X0,
inference(demodulation,[status(thm)],[d3,c26]) ).
cnf(d5,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[d4,d4]) ).
cnf(d6,plain,
identity = multiply(X0,inverse(X0)),
inference(superposition,[status(thm)],[d5,d2]) ).
cnf(d7,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[d2,d4]) ).
cnf(d8,plain,
X0 = multiply(inverse(inverse(X0)),identity),
inference(superposition,[status(thm)],[d7,d1]) ).
cnf(d9,plain,
X0 = multiply(X0,identity),
inference(demodulation,[status(thm)],[d8,d5]) ).
cnf(d10,plain,
inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[status(thm)],[d9,d5]) ).
cnf(d11,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[d10,d9]) ).
cnf(d12,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[d7,d5]) ).
cnf(d13,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[d5,d12]) ).
cnf(d14,plain,
X0 = inverse(inverse(X0)),
inference(demodulation,[status(thm)],[d13,d9]) ).
cnf(d15,plain,
( inverse('sk$uc2') = 'sk$uc5'
| 'sk$uc3' = inverse('sk$uc7') ),
inference(superposition,[status(thm)],[c21,d14]) ).
cnf(d16,plain,
( 'sk$uc3' = inverse('sk$uc7')
| 'sk$uc2' = inverse('sk$uc5') ),
inference(superposition,[status(thm)],[d15,d14]) ).
cnf(d17,plain,
( 'sk$uc2' = inverse('sk$uc5')
| inverse('sk$uc3') = 'sk$uc7' ),
inference(superposition,[status(thm)],[d16,d11]) ).
cnf(d18,plain,
X0 = multiply(identity,X0),
inference(superposition,[status(thm)],[c26,d1]) ).
cnf(d19,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[d18,d4]) ).
cnf(d20,plain,
multiply(inverse(inverse(identity)),X0) = X0,
inference(superposition,[status(thm)],[d19,d4]) ).
cnf(d21,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[d20,c27]) ).
cnf(d22,plain,
( inverse('sk$uc2') = 'sk$uc5'
| multiply('sk$uc3',multiply('sk$uc6',X0)) = multiply('sk$uc7',X0) ),
inference(superposition,[status(thm)],[c22,c28]) ).
cnf(d23,plain,
( inverse('sk$uc2') = 'sk$uc5'
| multiply('sk$uc6','sk$uc4') = identity ),
inference(superposition,[status(thm)],[c23,c27]) ).
cnf(d24,plain,
( inverse('sk$uc2') = 'sk$uc5'
| inverse('sk$uc2') = 'sk$uc5'
| multiply('sk$uc3',identity) = multiply('sk$uc7','sk$uc4') ),
inference(superposition,[status(thm)],[d23,d22]) ).
cnf(d25,plain,
( inverse('sk$uc2') = 'sk$uc5'
| 'sk$uc3' = multiply('sk$uc7','sk$uc4') ),
inference(demodulation,[status(thm)],[d24,d9]) ).
cnf(d26,plain,
( inverse('sk$uc2') = 'sk$uc5'
| 'sk$uc6' = multiply('sk$uc4','sk$uc5') ),
inference(superposition,[status(thm)],[c24,d1]) ).
cnf(d27,plain,
( inverse('sk$uc2') = 'sk$uc5'
| 'sk$uc5' = multiply('sk$uc6','sk$uc7') ),
inference(superposition,[status(thm)],[c20,d1]) ).
cnf(d28,plain,
( inverse('sk$uc2') = 'sk$uc5'
| multiply(inverse('sk$uc6'),'sk$uc5') = 'sk$uc7' ),
inference(superposition,[status(thm)],[d27,d4]) ).
cnf(d29,plain,
( inverse('sk$uc2') = 'sk$uc5'
| inverse('sk$uc6') = 'sk$uc4' ),
inference(superposition,[status(thm)],[c23,d11]) ).
cnf(d30,plain,
( inverse('sk$uc2') = 'sk$uc5'
| inverse('sk$uc2') = 'sk$uc5'
| multiply('sk$uc4','sk$uc5') = 'sk$uc7' ),
inference(superposition,[status(thm)],[d29,d28]) ).
cnf(d31,plain,
( inverse('sk$uc2') = 'sk$uc5'
| inverse('sk$uc2') = 'sk$uc5'
| 'sk$uc6' = 'sk$uc7' ),
inference(superposition,[status(thm)],[d30,d26]) ).
cnf(d32,plain,
( inverse('sk$uc2') = 'sk$uc5'
| inverse('sk$uc2') = 'sk$uc5'
| multiply('sk$uc7','sk$uc4') = identity ),
inference(superposition,[status(thm)],[d31,d23]) ).
cnf(d33,plain,
( inverse('sk$uc2') = 'sk$uc5'
| inverse('sk$uc2') = 'sk$uc5'
| 'sk$uc3' = identity ),
inference(superposition,[status(thm)],[d32,d25]) ).
cnf(d34,plain,
( 'sk$uc3' = identity
| 'sk$uc2' = inverse('sk$uc5') ),
inference(superposition,[status(thm)],[d33,d14]) ).
cnf(d35,plain,
( 'sk$uc2' = inverse('sk$uc5')
| inverse('sk$uc3') = identity ),
inference(superposition,[status(thm)],[d34,d21]) ).
cnf(d36,plain,
( 'sk$uc2' = inverse('sk$uc5')
| 'sk$uc2' = inverse('sk$uc5')
| identity = 'sk$uc7' ),
inference(superposition,[status(thm)],[d35,d17]) ).
cnf(d37,plain,
( identity = 'sk$uc7'
| multiply('sk$uc2','sk$uc5') = identity ),
inference(superposition,[status(thm)],[d36,c27]) ).
cnf(d38,plain,
( identity = 'sk$uc7'
| inverse('sk$uc3') = 'sk$uc7'
| identity = 'sk$uc7' ),
inference(superposition,[status(thm)],[d37,c16]) ).
cnf(d39,plain,
( identity = 'sk$uc7'
| identity = multiply('sk$uc3','sk$uc7') ),
inference(superposition,[status(thm)],[d38,d6]) ).
cnf(d40,plain,
( multiply('sk$uc2','sk$uc5') = 'sk$uc7'
| 'sk$uc7' = multiply('sk$uc3','sk$uc6') ),
inference(superposition,[status(thm)],[c17,d1]) ).
cnf(d41,plain,
( identity = 'sk$uc7'
| 'sk$uc7' = multiply('sk$uc3','sk$uc6')
| identity = 'sk$uc7' ),
inference(superposition,[status(thm)],[d37,d40]) ).
cnf(d42,plain,
( identity = 'sk$uc7'
| multiply('sk$uc3','sk$uc6') = 'sk$uc7' ),
inference(superposition,[status(thm)],[d41,d1]) ).
cnf(d43,plain,
( multiply('sk$uc2','sk$uc5') = 'sk$uc7'
| 'sk$uc6' = multiply('sk$uc4','sk$uc5') ),
inference(superposition,[status(thm)],[c19,d1]) ).
cnf(d44,plain,
( identity = 'sk$uc7'
| 'sk$uc6' = multiply('sk$uc4','sk$uc5')
| identity = 'sk$uc7' ),
inference(superposition,[status(thm)],[d37,d43]) ).
cnf(d45,plain,
X1 = multiply(inverse(X0),multiply(X0,X1)),
inference(superposition,[status(thm)],[d4,d1]) ).
cnf(d46,plain,
( multiply('sk$uc2','sk$uc5') = 'sk$uc7'
| 'sk$uc7' = multiply(inverse('sk$uc6'),'sk$uc5') ),
inference(superposition,[status(thm)],[c15,d45]) ).
cnf(d47,plain,
( identity = 'sk$uc7'
| 'sk$uc7' = multiply(inverse('sk$uc6'),'sk$uc5')
| identity = 'sk$uc7' ),
inference(superposition,[status(thm)],[d37,d46]) ).
cnf(d48,plain,
( identity = 'sk$uc7'
| inverse('sk$uc4') = 'sk$uc6'
| identity = 'sk$uc7' ),
inference(superposition,[status(thm)],[d37,c18]) ).
cnf(d49,plain,
( identity = 'sk$uc7'
| 'sk$uc4' = inverse('sk$uc6') ),
inference(superposition,[status(thm)],[d48,d14]) ).
cnf(d50,plain,
( identity = 'sk$uc7'
| identity = 'sk$uc7'
| 'sk$uc7' = multiply('sk$uc4','sk$uc5') ),
inference(superposition,[status(thm)],[d49,d47]) ).
cnf(d51,plain,
( identity = 'sk$uc7'
| identity = 'sk$uc7'
| 'sk$uc6' = 'sk$uc7' ),
inference(superposition,[status(thm)],[d50,d44]) ).
cnf(d52,plain,
( identity = 'sk$uc7'
| identity = 'sk$uc7'
| multiply('sk$uc3','sk$uc7') = 'sk$uc7' ),
inference(superposition,[status(thm)],[d51,d42]) ).
cnf(d53,plain,
( identity = 'sk$uc7'
| identity = 'sk$uc7'
| identity = 'sk$uc7' ),
inference(superposition,[status(thm)],[d52,d39]) ).
cnf(d54,plain,
X0 = multiply('sk$uc7',X0),
inference(demodulation,[status(thm)],[d18,d53]) ).
cnf(d55,plain,
'sk$uc7' = multiply(inverse(X0),X0),
inference(demodulation,[status(thm)],[d2,d53]) ).
cnf(d56,plain,
identity = inverse(identity),
inference(superposition,[status(thm)],[d20,d2]) ).
cnf(d57,plain,
'sk$uc7' = inverse(identity),
inference(demodulation,[status(thm)],[d56,d53]) ).
cnf(d58,plain,
'sk$uc7' = inverse('sk$uc7'),
inference(demodulation,[status(thm)],[d57,d53]) ).
cnf(d59,plain,
'sk$uc7' = multiply('sk$uc7','sk$uc7'),
inference(superposition,[status(thm)],[d58,d55]) ).
cnf(d60,plain,
'sk$uc7' = 'sk$uc7',
inference(demodulation,[status(thm)],[d59,d54]) ).
cnf(d61,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[d5,c27]) ).
cnf(d62,plain,
inverse(X0) = multiply(inverse(X0),identity),
inference(superposition,[status(thm)],[d61,d45]) ).
cnf(d63,plain,
inverse(X0) = inverse(X0),
inference(demodulation,[status(thm)],[d62,d9]) ).
cnf(d64,plain,
'sk$uc7' = multiply(X0,inverse(X0)),
inference(demodulation,[status(thm)],[d6,d53]) ).
cnf(d65,plain,
( inverse('sk$uc1') = 'sk$uc7'
| multiply('sk$uc3',multiply('sk$uc6',X0)) = multiply('sk$uc7',X0) ),
inference(superposition,[status(thm)],[c7,c28]) ).
cnf(d66,plain,
( inverse('sk$uc1') = 'sk$uc7'
| multiply(inverse('sk$uc3'),multiply('sk$uc7',X0)) = multiply('sk$uc6',X0) ),
inference(superposition,[status(thm)],[d65,d4]) ).
cnf(d67,plain,
( inverse('sk$uc3') = 'sk$uc7'
| 'sk$uc6' = multiply('sk$uc1','sk$uc7') ),
inference(superposition,[status(thm)],[c1,d1]) ).
cnf(d68,plain,
( inverse('sk$uc3') = 'sk$uc7'
| multiply('sk$uc1','sk$uc7') = identity ),
inference(superposition,[status(thm)],[c6,d61]) ).
cnf(d69,plain,
( inverse('sk$uc3') = 'sk$uc7'
| inverse('sk$uc3') = 'sk$uc7'
| 'sk$uc6' = identity ),
inference(superposition,[status(thm)],[d68,d67]) ).
cnf(d70,plain,
( inverse('sk$uc3') = 'sk$uc7'
| identity = inverse('sk$uc6') ),
inference(superposition,[status(thm)],[d69,d56]) ).
cnf(d71,plain,
( identity = inverse('sk$uc6')
| 'sk$uc7' = inverse('sk$uc3') ),
inference(superposition,[status(thm)],[d70,d63]) ).
cnf(d72,plain,
( identity = inverse('sk$uc6')
| inverse('sk$uc1') = 'sk$uc7'
| multiply('sk$uc7',multiply('sk$uc7',X0)) = multiply('sk$uc6',X0) ),
inference(superposition,[status(thm)],[d71,d66]) ).
cnf(d73,plain,
( identity = inverse('sk$uc6')
| inverse('sk$uc1') = 'sk$uc7'
| multiply('sk$uc7',X0) = multiply('sk$uc6',X0) ),
inference(demodulation,[status(thm)],[d72,d54]) ).
cnf(d74,plain,
( identity = inverse('sk$uc6')
| inverse('sk$uc1') = 'sk$uc7'
| X0 = multiply('sk$uc6',X0) ),
inference(demodulation,[status(thm)],[d73,d54]) ).
cnf(d75,plain,
( 'sk$uc7' = inverse('sk$uc6')
| inverse('sk$uc1') = 'sk$uc7'
| X0 = multiply('sk$uc6',X0) ),
inference(demodulation,[status(thm)],[d74,d53]) ).
cnf(d76,plain,
( 'sk$uc7' = inverse('sk$uc6')
| inverse('sk$uc1') = 'sk$uc7'
| 'sk$uc7' = inverse('sk$uc6') ),
inference(superposition,[status(thm)],[d75,d64]) ).
cnf(d77,plain,
( inverse('sk$uc1') = 'sk$uc7'
| inverse('sk$uc6') = 'sk$uc7' ),
inference(superposition,[status(thm)],[d76,d63]) ).
cnf(d78,plain,
multiply(X0,'sk$uc7') = X0,
inference(demodulation,[status(thm)],[d12,d53]) ).
cnf(d79,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[d5,d4]) ).
cnf(d80,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c28,d4]) ).
cnf(d81,plain,
( multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| 'sk$uc6' = multiply('sk$uc7','sk$uc5') ),
inference(superposition,[status(thm)],[c12,d1]) ).
cnf(d82,plain,
( 'sk$uc6' = multiply('sk$uc7','sk$uc5')
| multiply(inverse('sk$uc7'),multiply('sk$uc3',multiply('sk$uc6',X0))) = X0 ),
inference(superposition,[status(thm)],[d81,d80]) ).
cnf(d83,plain,
( 'sk$uc6' = multiply('sk$uc7','sk$uc5')
| multiply('sk$uc7',multiply('sk$uc3',multiply('sk$uc6',X0))) = X0 ),
inference(demodulation,[status(thm)],[d82,d58]) ).
cnf(d84,plain,
( 'sk$uc6' = multiply('sk$uc7','sk$uc5')
| multiply('sk$uc3',multiply('sk$uc6',X0)) = X0 ),
inference(demodulation,[status(thm)],[d83,d54]) ).
cnf(d85,plain,
( 'sk$uc6' = 'sk$uc5'
| multiply('sk$uc3',multiply('sk$uc6',X0)) = X0 ),
inference(demodulation,[status(thm)],[d84,d54]) ).
cnf(d86,plain,
( multiply('sk$uc4','sk$uc5') = 'sk$uc6'
| 'sk$uc6' = multiply('sk$uc7','sk$uc5') ),
inference(superposition,[status(thm)],[c14,d1]) ).
cnf(d87,plain,
( 'sk$uc6' = multiply('sk$uc7','sk$uc5')
| 'sk$uc6' = multiply('sk$uc4','sk$uc5') ),
inference(superposition,[status(thm)],[d86,d1]) ).
cnf(d88,plain,
( 'sk$uc6' = multiply('sk$uc4','sk$uc5')
| 'sk$uc6' = 'sk$uc5' ),
inference(demodulation,[status(thm)],[d87,d54]) ).
cnf(d89,plain,
multiply(inverse(multiply(X2,X0)),multiply(X2,X1)) = multiply(inverse(X0),X1),
inference(superposition,[status(thm)],[d79,d80]) ).
cnf(d90,plain,
( multiply('sk$uc6','sk$uc7') = 'sk$uc5'
| multiply(inverse(multiply(X0,'sk$uc7')),multiply(X0,'sk$uc6')) = 'sk$uc5' ),
inference(superposition,[status(thm)],[c10,d80]) ).
cnf(d91,plain,
( multiply(inverse(multiply(X0,'sk$uc7')),multiply(X0,'sk$uc6')) = 'sk$uc5'
| 'sk$uc6' = 'sk$uc5' ),
inference(demodulation,[status(thm)],[d90,d78]) ).
cnf(d92,plain,
( multiply(inverse('sk$uc7'),'sk$uc6') = 'sk$uc5'
| 'sk$uc6' = 'sk$uc5' ),
inference(demodulation,[status(thm)],[d91,d89]) ).
cnf(d93,plain,
( multiply('sk$uc7','sk$uc6') = 'sk$uc5'
| 'sk$uc6' = 'sk$uc5' ),
inference(demodulation,[status(thm)],[d92,d58]) ).
cnf(d94,plain,
( 'sk$uc6' = 'sk$uc5'
| 'sk$uc6' = 'sk$uc5' ),
inference(demodulation,[status(thm)],[d93,d54]) ).
cnf(d95,plain,
( 'sk$uc6' = 'sk$uc5'
| 'sk$uc6' = 'sk$uc5'
| 'sk$uc6' = multiply('sk$uc4','sk$uc6') ),
inference(superposition,[status(thm)],[d94,d88]) ).
cnf(d96,plain,
( inverse('sk$uc4') = 'sk$uc6'
| multiply('sk$uc1','sk$uc7') = identity ),
inference(superposition,[status(thm)],[c8,d61]) ).
cnf(d97,plain,
( inverse('sk$uc4') = 'sk$uc6'
| inverse('sk$uc4') = 'sk$uc6'
| identity = 'sk$uc6' ),
inference(superposition,[status(thm)],[d96,c3]) ).
cnf(d98,plain,
( identity = 'sk$uc6'
| identity = multiply('sk$uc4','sk$uc6') ),
inference(superposition,[status(thm)],[d97,d6]) ).
cnf(d99,plain,
( identity = 'sk$uc6'
| 'sk$uc7' = multiply('sk$uc4','sk$uc6') ),
inference(demodulation,[status(thm)],[d98,d53]) ).
cnf(d100,plain,
( 'sk$uc7' = 'sk$uc6'
| 'sk$uc7' = multiply('sk$uc4','sk$uc6') ),
inference(demodulation,[status(thm)],[d99,d53]) ).
cnf(d101,plain,
( 'sk$uc6' = 'sk$uc5'
| 'sk$uc7' = 'sk$uc6'
| 'sk$uc7' = 'sk$uc6' ),
inference(superposition,[status(thm)],[d95,d100]) ).
cnf(d102,plain,
( 'sk$uc6' = 'sk$uc5'
| 'sk$uc6' = 'sk$uc5'
| 'sk$uc6' = multiply('sk$uc4','sk$uc7') ),
inference(superposition,[status(thm)],[d101,d95]) ).
cnf(d103,plain,
( 'sk$uc6' = 'sk$uc5'
| 'sk$uc6' = 'sk$uc4' ),
inference(demodulation,[status(thm)],[d102,d78]) ).
cnf(d104,plain,
( 'sk$uc6' = 'sk$uc5'
| 'sk$uc6' = 'sk$uc5'
| 'sk$uc6' = multiply('sk$uc6','sk$uc5') ),
inference(superposition,[status(thm)],[d103,d88]) ).
cnf(d105,plain,
( 'sk$uc6' = 'sk$uc5'
| 'sk$uc6' = 'sk$uc5'
| multiply('sk$uc3','sk$uc6') = 'sk$uc5' ),
inference(superposition,[status(thm)],[d104,d85]) ).
cnf(d106,plain,
( 'sk$uc6' = 'sk$uc5'
| 'sk$uc6' = 'sk$uc5'
| 'sk$uc6' = multiply('sk$uc6','sk$uc6') ),
inference(superposition,[status(thm)],[d103,d95]) ).
cnf(d107,plain,
( 'sk$uc6' = 'sk$uc5'
| 'sk$uc6' = 'sk$uc5'
| multiply('sk$uc3','sk$uc6') = 'sk$uc6' ),
inference(superposition,[status(thm)],[d106,d85]) ).
cnf(d108,plain,
( 'sk$uc6' = 'sk$uc5'
| 'sk$uc6' = 'sk$uc5'
| 'sk$uc6' = 'sk$uc5' ),
inference(superposition,[status(thm)],[d107,d105]) ).
cnf(d109,plain,
( multiply('sk$uc4','sk$uc5') = 'sk$uc6'
| 'sk$uc6' = multiply('sk$uc1','sk$uc7') ),
inference(superposition,[status(thm)],[c4,d1]) ).
cnf(d110,plain,
( 'sk$uc6' = multiply('sk$uc1','sk$uc7')
| multiply('sk$uc4',multiply('sk$uc5',X0)) = multiply('sk$uc6',X0) ),
inference(superposition,[status(thm)],[d109,c28]) ).
cnf(d111,plain,
( 'sk$uc6' = multiply('sk$uc1','sk$uc7')
| multiply('sk$uc4',X0) = multiply('sk$uc6',multiply(inverse('sk$uc5'),X0)) ),
inference(superposition,[status(thm)],[d79,d110]) ).
cnf(d112,plain,
( 'sk$uc6' = multiply('sk$uc1','sk$uc7')
| multiply('sk$uc4',X0) = multiply('sk$uc6',multiply(inverse('sk$uc6'),X0)) ),
inference(demodulation,[status(thm)],[d111,d108]) ).
cnf(d113,plain,
( 'sk$uc6' = multiply('sk$uc1','sk$uc7')
| multiply('sk$uc4',X0) = X0 ),
inference(demodulation,[status(thm)],[d112,d79]) ).
cnf(d114,plain,
( 'sk$uc6' = 'sk$uc1'
| multiply('sk$uc4',X0) = X0 ),
inference(demodulation,[status(thm)],[d113,d78]) ).
cnf(d115,plain,
( 'sk$uc6' = 'sk$uc1'
| 'sk$uc7' = inverse('sk$uc4') ),
inference(superposition,[status(thm)],[d114,d64]) ).
cnf(d116,plain,
( 'sk$uc6' = multiply('sk$uc1','sk$uc7')
| 'sk$uc6' = multiply('sk$uc4','sk$uc5') ),
inference(superposition,[status(thm)],[d109,d1]) ).
cnf(d117,plain,
( 'sk$uc6' = multiply('sk$uc4','sk$uc5')
| 'sk$uc6' = 'sk$uc1' ),
inference(demodulation,[status(thm)],[d116,d78]) ).
cnf(d118,plain,
( 'sk$uc6' = 'sk$uc1'
| 'sk$uc6' = multiply('sk$uc4','sk$uc6') ),
inference(demodulation,[status(thm)],[d117,d108]) ).
cnf(d119,plain,
( multiply('sk$uc3','sk$uc6') = 'sk$uc7'
| 'sk$uc6' = multiply('sk$uc1','sk$uc7') ),
inference(superposition,[status(thm)],[c2,d1]) ).
cnf(d120,plain,
( 'sk$uc6' = 'sk$uc1'
| multiply('sk$uc3','sk$uc6') = 'sk$uc7' ),
inference(demodulation,[status(thm)],[d119,d78]) ).
cnf(d121,plain,
( 'sk$uc6' = multiply('sk$uc1','sk$uc7')
| 'sk$uc7' = multiply('sk$uc3','sk$uc6') ),
inference(superposition,[status(thm)],[d119,d1]) ).
cnf(d122,plain,
( 'sk$uc6' = 'sk$uc1'
| 'sk$uc7' = multiply('sk$uc3','sk$uc6') ),
inference(demodulation,[status(thm)],[d121,d78]) ).
cnf(d123,plain,
X1 = multiply(X0,multiply(inverse(X0),X1)),
inference(superposition,[status(thm)],[d5,d45]) ).
cnf(d124,plain,
( inverse('sk$uc3') = 'sk$uc7'
| inverse('sk$uc3') = 'sk$uc7'
| identity = 'sk$uc6' ),
inference(superposition,[status(thm)],[d68,c1]) ).
cnf(d125,plain,
( identity = 'sk$uc6'
| X0 = multiply('sk$uc3',multiply('sk$uc7',X0)) ),
inference(superposition,[status(thm)],[d124,d123]) ).
cnf(d126,plain,
( identity = 'sk$uc6'
| X0 = multiply('sk$uc3',X0) ),
inference(demodulation,[status(thm)],[d125,d54]) ).
cnf(d127,plain,
( 'sk$uc7' = 'sk$uc6'
| X0 = multiply('sk$uc3',X0) ),
inference(demodulation,[status(thm)],[d126,d53]) ).
cnf(d128,plain,
( 'sk$uc7' = 'sk$uc6'
| 'sk$uc6' = 'sk$uc1'
| 'sk$uc7' = 'sk$uc6' ),
inference(superposition,[status(thm)],[d127,d122]) ).
cnf(d129,plain,
( 'sk$uc6' = 'sk$uc1'
| 'sk$uc6' = 'sk$uc1'
| multiply('sk$uc3','sk$uc7') = 'sk$uc7' ),
inference(superposition,[status(thm)],[d128,d120]) ).
cnf(d130,plain,
( 'sk$uc6' = 'sk$uc1'
| 'sk$uc3' = 'sk$uc7' ),
inference(demodulation,[status(thm)],[d129,d78]) ).
cnf(d131,plain,
( 'sk$uc6' = 'sk$uc1'
| 'sk$uc6' = 'sk$uc1'
| multiply('sk$uc7','sk$uc6') = 'sk$uc7' ),
inference(superposition,[status(thm)],[d130,d120]) ).
cnf(d132,plain,
( 'sk$uc6' = 'sk$uc1'
| 'sk$uc6' = 'sk$uc7' ),
inference(demodulation,[status(thm)],[d131,d54]) ).
cnf(d133,plain,
( 'sk$uc6' = 'sk$uc1'
| 'sk$uc6' = 'sk$uc1'
| 'sk$uc6' = multiply('sk$uc4','sk$uc7') ),
inference(superposition,[status(thm)],[d132,d118]) ).
cnf(d134,plain,
( 'sk$uc6' = 'sk$uc1'
| 'sk$uc6' = 'sk$uc4' ),
inference(demodulation,[status(thm)],[d133,d78]) ).
cnf(d135,plain,
( 'sk$uc6' = 'sk$uc1'
| 'sk$uc6' = 'sk$uc1'
| 'sk$uc7' = inverse('sk$uc6') ),
inference(superposition,[status(thm)],[d134,d115]) ).
cnf(d136,plain,
( 'sk$uc6' = 'sk$uc1'
| inverse('sk$uc6') = 'sk$uc7' ),
inference(superposition,[status(thm)],[d135,d63]) ).
cnf(d137,plain,
( inverse('sk$uc6') = 'sk$uc7'
| inverse('sk$uc6') = 'sk$uc7'
| inverse('sk$uc6') = 'sk$uc7' ),
inference(superposition,[status(thm)],[d136,d77]) ).
cnf(d138,plain,
'sk$uc6' = inverse('sk$uc7'),
inference(superposition,[status(thm)],[d137,d14]) ).
cnf(d139,plain,
'sk$uc6' = 'sk$uc7',
inference(demodulation,[status(thm)],[d138,d58]) ).
cnf(d140,plain,
( inverse(X2) != 'sk$uc7'
| inverse(X1) != 'sk$uc6'
| inverse(X0) != 'sk$uc7'
| inverse(inverse('sk$uc5')) != 'sk$uc5'
| multiply('sk$uc6','sk$uc7') != 'sk$uc5'
| multiply('sk$uc7','sk$uc5') != 'sk$uc6'
| multiply(X2,'sk$uc6') != 'sk$uc7'
| multiply(X1,'sk$uc5') != 'sk$uc6'
| multiply(X0,'sk$uc7') != 'sk$uc6'
| identity != 'sk$uc7' ),
inference(superposition,[status(thm)],[c27,c25]) ).
cnf(d141,plain,
( identity != 'sk$uc7'
| inverse(inverse('sk$uc5')) != 'sk$uc5'
| inverse(X1) != 'sk$uc7'
| inverse(X0) != 'sk$uc6'
| inverse(inverse('sk$uc6')) != 'sk$uc7'
| multiply('sk$uc6','sk$uc7') != 'sk$uc5'
| multiply('sk$uc7','sk$uc5') != 'sk$uc6'
| multiply(X1,'sk$uc7') != 'sk$uc6'
| multiply(X0,'sk$uc5') != 'sk$uc6'
| identity != 'sk$uc7' ),
inference(superposition,[status(thm)],[c27,d140]) ).
cnf(d142,plain,
( identity != 'sk$uc7'
| inverse(inverse('sk$uc5')) != 'sk$uc5'
| inverse(inverse('sk$uc6')) != 'sk$uc7'
| inverse(X0) != 'sk$uc6'
| inverse(inverse('sk$uc7')) != 'sk$uc7'
| multiply('sk$uc6','sk$uc7') != 'sk$uc5'
| multiply('sk$uc7','sk$uc5') != 'sk$uc6'
| multiply(X0,'sk$uc5') != 'sk$uc6'
| identity != 'sk$uc6' ),
inference(superposition,[status(thm)],[d2,d141]) ).
cnf(d143,plain,
( identity != 'sk$uc6'
| identity != 'sk$uc7'
| inverse(inverse('sk$uc5')) != 'sk$uc5'
| inverse(inverse('sk$uc6')) != 'sk$uc7'
| 'sk$uc7' != 'sk$uc7'
| inverse(X0) != 'sk$uc6'
| multiply('sk$uc6','sk$uc7') != 'sk$uc5'
| multiply('sk$uc7','sk$uc5') != 'sk$uc6'
| multiply(X0,'sk$uc5') != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d142,d11]) ).
cnf(d144,plain,
( identity != 'sk$uc6'
| identity != 'sk$uc7'
| inverse(inverse('sk$uc5')) != 'sk$uc5'
| 'sk$uc6' != 'sk$uc7'
| 'sk$uc7' != 'sk$uc7'
| inverse(X0) != 'sk$uc6'
| multiply('sk$uc6','sk$uc7') != 'sk$uc5'
| multiply('sk$uc7','sk$uc5') != 'sk$uc6'
| multiply(X0,'sk$uc5') != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d143,d11]) ).
cnf(d145,plain,
( identity != 'sk$uc6'
| identity != 'sk$uc7'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc7'
| 'sk$uc7' != 'sk$uc7'
| inverse(X0) != 'sk$uc6'
| multiply('sk$uc6','sk$uc7') != 'sk$uc5'
| multiply('sk$uc7','sk$uc5') != 'sk$uc6'
| multiply(X0,'sk$uc5') != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d144,d11]) ).
cnf(d146,plain,
( identity != 'sk$uc6'
| identity != 'sk$uc7'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc7'
| 'sk$uc7' != 'sk$uc7'
| inverse(inverse('sk$uc5')) != 'sk$uc6'
| multiply('sk$uc6','sk$uc7') != 'sk$uc5'
| multiply('sk$uc7','sk$uc5') != 'sk$uc6'
| identity != 'sk$uc6' ),
inference(superposition,[status(thm)],[d2,d145]) ).
cnf(d147,plain,
( identity != 'sk$uc6'
| identity != 'sk$uc7'
| inverse(inverse('sk$uc5')) != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc7'
| 'sk$uc7' != 'sk$uc7'
| multiply('sk$uc6','sk$uc7') != 'sk$uc5'
| 'sk$uc5' != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d146,d54]) ).
cnf(d148,plain,
( identity != 'sk$uc6'
| identity != 'sk$uc7'
| inverse(inverse('sk$uc5')) != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc7'
| 'sk$uc7' != 'sk$uc7'
| multiply('sk$uc6','sk$uc7') != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d147,d108]) ).
cnf(d149,plain,
( identity != 'sk$uc6'
| identity != 'sk$uc7'
| inverse(inverse('sk$uc5')) != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc7'
| 'sk$uc7' != 'sk$uc7'
| 'sk$uc6' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d148,d78]) ).
cnf(d150,plain,
( identity != 'sk$uc6'
| identity != 'sk$uc7'
| inverse(inverse('sk$uc5')) != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc7'
| 'sk$uc7' != 'sk$uc7'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d149,d108]) ).
cnf(d151,plain,
( identity != 'sk$uc6'
| identity != 'sk$uc7'
| inverse(inverse('sk$uc5')) != 'sk$uc6'
| 'sk$uc6' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc7'
| 'sk$uc7' != 'sk$uc7'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d150,d108]) ).
cnf(d152,plain,
( identity != 'sk$uc6'
| identity != 'sk$uc7'
| inverse(inverse('sk$uc5')) != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc7'
| 'sk$uc7' != 'sk$uc7'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d151,d108]) ).
cnf(d153,plain,
( identity != 'sk$uc6'
| identity != 'sk$uc7'
| 'sk$uc5' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc7'
| 'sk$uc7' != 'sk$uc7'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d152,d11]) ).
cnf(d154,plain,
( identity != 'sk$uc6'
| identity != 'sk$uc7'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc7'
| 'sk$uc7' != 'sk$uc7'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d153,d108]) ).
cnf(d155,plain,
( identity != 'sk$uc6'
| 'sk$uc7' != 'sk$uc7'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc7'
| 'sk$uc7' != 'sk$uc7'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d154,d53]) ).
cnf(d156,plain,
( 'sk$uc7' != 'sk$uc6'
| 'sk$uc7' != 'sk$uc7'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc7'
| 'sk$uc7' != 'sk$uc7'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6' ),
inference(demodulation,[status(thm)],[d155,d53]) ).
cnf(d157,plain,
( 'sk$uc7' != 'sk$uc6'
| 'sk$uc7' != 'sk$uc7'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc7'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6' ),
inference(resolution,[status(thm)],[d60,d156]) ).
cnf(d158,plain,
( 'sk$uc6' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc7'
| 'sk$uc7' != 'sk$uc6' ),
inference(equality_resolution,[status(thm)],[d157]) ).
cnf(d159,plain,
( 'sk$uc6' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc7'
| 'sk$uc7' != 'sk$uc7' ),
inference(demodulation,[status(thm)],[d158,d139]) ).
cnf(d160,plain,
( 'sk$uc6' != 'sk$uc6'
| 'sk$uc7' != 'sk$uc7'
| 'sk$uc7' != 'sk$uc7' ),
inference(demodulation,[status(thm)],[d159,d139]) ).
cnf(d161,plain,
( 'sk$uc7' != 'sk$uc6'
| 'sk$uc7' != 'sk$uc7'
| 'sk$uc7' != 'sk$uc7' ),
inference(demodulation,[status(thm)],[d160,d139]) ).
cnf(d162,plain,
( 'sk$uc7' != 'sk$uc7'
| 'sk$uc7' != 'sk$uc7'
| 'sk$uc7' != 'sk$uc7' ),
inference(demodulation,[status(thm)],[d161,d139]) ).
cnf(d163,plain,
( 'sk$uc7' != 'sk$uc7'
| 'sk$uc7' != 'sk$uc7' ),
inference(resolution,[status(thm)],[d60,d162]) ).
cnf(d164,plain,
$false,
inference(resolution,[status(thm)],[d163,d60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP274-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n004.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Fri Sep 25 14:42:28 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 201.68/34.46 % SZS status Unsatisfiable for theBenchmark.p
% 201.68/34.46 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------