%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP300-1 : 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 : n011.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 07:23:33 AM UTC 2026
% Result : Unsatisfiable 42.32s 9.74s
% Output : CNFRefutation 42.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 10
% Syntax : Number of clauses : 101 ( 50 unt; 29 nHn; 68 RR)
% Number of literals : 294 ( 293 equ; 183 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 : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 68 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this_1,negated_conjecture,
( multiply('sk$uc5','sk$uc4') = 'sk$uc6'
| multiply('sk$uc6','sk$uc5') = 'sk$uc4' ) ).
cnf(prove_this_11,negated_conjecture,
( multiply('sk$uc3','sk$uc4') = 'sk$uc5'
| multiply('sk$uc1','sk$uc6') = 'sk$uc5' ) ).
cnf(prove_this_12,negated_conjecture,
( inverse('sk$uc3') = 'sk$uc4'
| multiply('sk$uc1','sk$uc6') = 'sk$uc5' ) ).
cnf(prove_this_17,negated_conjecture,
( multiply('sk$uc3','sk$uc4') = 'sk$uc5'
| inverse('sk$uc1') = 'sk$uc6' ) ).
cnf(prove_this_18,negated_conjecture,
( inverse('sk$uc3') = 'sk$uc4'
| inverse('sk$uc1') = 'sk$uc6' ) ).
cnf(prove_this_22,negated_conjecture,
( inverse('sk$uc6') = 'sk$uc4'
| multiply('sk$uc4','sk$uc6') = 'sk$uc5' ) ).
cnf(prove_this_25,negated_conjecture,
( inverse(X2) != 'sk$uc4'
| multiply(X2,'sk$uc4') != 'sk$uc5'
| inverse('sk$uc6') != 'sk$uc4'
| inverse(X1) != 'sk$uc6'
| multiply(X1,'sk$uc6') != 'sk$uc5'
| multiply('sk$uc5','sk$uc4') != 'sk$uc6'
| multiply('sk$uc4','sk$uc6') != 'sk$uc5'
| inverse(X0) != 'sk$uc6'
| multiply(X0,'sk$uc6') != 'sk$uc5'
| multiply('sk$uc6','sk$uc5') != 'sk$uc4' ) ).
cnf(left_identity,axiom,
multiply(identity,X0) = X0 ).
cnf(left_inverse,axiom,
multiply(inverse(X0),X0) = identity ).
cnf(associativity,axiom,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)) ).
cnf(c0,plain,
( multiply('sk$uc5','sk$uc4') = 'sk$uc6'
| multiply('sk$uc6','sk$uc5') = 'sk$uc4' ),
inference(clausification,[status(esa)],[prove_this_1]) ).
cnf(c10,plain,
( multiply('sk$uc3','sk$uc4') = 'sk$uc5'
| multiply('sk$uc1','sk$uc6') = 'sk$uc5' ),
inference(clausification,[status(esa)],[prove_this_11]) ).
cnf(c11,plain,
( inverse('sk$uc3') = 'sk$uc4'
| multiply('sk$uc1','sk$uc6') = 'sk$uc5' ),
inference(clausification,[status(esa)],[prove_this_12]) ).
cnf(c16,plain,
( multiply('sk$uc3','sk$uc4') = 'sk$uc5'
| inverse('sk$uc1') = 'sk$uc6' ),
inference(clausification,[status(esa)],[prove_this_17]) ).
cnf(c17,plain,
( inverse('sk$uc3') = 'sk$uc4'
| inverse('sk$uc1') = 'sk$uc6' ),
inference(clausification,[status(esa)],[prove_this_18]) ).
cnf(c21,plain,
( inverse('sk$uc6') = 'sk$uc4'
| multiply('sk$uc4','sk$uc6') = 'sk$uc5' ),
inference(clausification,[status(esa)],[prove_this_22]) ).
cnf(c24,plain,
( multiply(X0,'sk$uc6') != 'sk$uc5'
| inverse(X2) != 'sk$uc6'
| inverse('sk$uc6') != 'sk$uc4'
| inverse(X1) != 'sk$uc4'
| multiply('sk$uc5','sk$uc4') != 'sk$uc6'
| multiply('sk$uc4','sk$uc6') != 'sk$uc5'
| multiply(X2,'sk$uc6') != 'sk$uc5'
| multiply(X1,'sk$uc4') != 'sk$uc5'
| inverse(X0) != 'sk$uc6'
| multiply('sk$uc6','sk$uc5') != 'sk$uc4' ),
inference(clausification,[status(esa)],[prove_this_25]) ).
cnf(c25,plain,
multiply(identity,X0) = X0,
inference(clausification,[status(esa)],[left_identity]) ).
cnf(c26,plain,
multiply(inverse(X0),X0) = identity,
inference(clausification,[status(esa)],[left_inverse]) ).
cnf(c27,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)],[c25,c27]) ).
cnf(d1,plain,
multiply(X0,X1) = multiply(X0,X1),
inference(demodulation,[status(thm)],[d0,c25]) ).
cnf(d2,plain,
identity = multiply(inverse(X0),X0),
inference(superposition,[status(thm)],[c26,d1]) ).
cnf(d3,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c26,c27]) ).
cnf(d4,plain,
multiply(inverse(X1),multiply(X1,X0)) = X0,
inference(demodulation,[status(thm)],[d3,c25]) ).
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(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[d5,c26]) ).
cnf(d8,plain,
( inverse('sk$uc1') = 'sk$uc6'
| multiply('sk$uc3','sk$uc4') = identity ),
inference(superposition,[status(thm)],[c17,d7]) ).
cnf(d9,plain,
( inverse('sk$uc1') = 'sk$uc6'
| inverse('sk$uc1') = 'sk$uc6'
| identity = 'sk$uc5' ),
inference(superposition,[status(thm)],[d8,c16]) ).
cnf(d10,plain,
( identity = 'sk$uc5'
| identity = multiply('sk$uc1','sk$uc6') ),
inference(superposition,[status(thm)],[d9,d6]) ).
cnf(d11,plain,
( identity = 'sk$uc5'
| inverse('sk$uc3') = 'sk$uc4'
| identity = 'sk$uc5' ),
inference(superposition,[status(thm)],[d10,c11]) ).
cnf(d12,plain,
( identity = 'sk$uc5'
| identity = multiply('sk$uc3','sk$uc4') ),
inference(superposition,[status(thm)],[d11,d6]) ).
cnf(d13,plain,
( multiply('sk$uc1','sk$uc6') = 'sk$uc5'
| 'sk$uc5' = multiply('sk$uc3','sk$uc4') ),
inference(superposition,[status(thm)],[c10,d1]) ).
cnf(d14,plain,
( identity = 'sk$uc5'
| 'sk$uc5' = multiply('sk$uc3','sk$uc4')
| identity = 'sk$uc5' ),
inference(superposition,[status(thm)],[d10,d13]) ).
cnf(d15,plain,
( identity = 'sk$uc5'
| identity = 'sk$uc5'
| identity = 'sk$uc5' ),
inference(superposition,[status(thm)],[d14,d12]) ).
cnf(d16,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[d2,d4]) ).
cnf(d17,plain,
X0 = multiply(inverse(inverse(X0)),identity),
inference(superposition,[status(thm)],[d16,d1]) ).
cnf(d18,plain,
X0 = multiply(X0,identity),
inference(demodulation,[status(thm)],[d17,d5]) ).
cnf(d19,plain,
X0 = multiply(X0,'sk$uc5'),
inference(demodulation,[status(thm)],[d18,d15]) ).
cnf(d20,plain,
inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[status(thm)],[d18,d5]) ).
cnf(d21,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[d20,d18]) ).
cnf(d22,plain,
( inverse('sk$uc6') = 'sk$uc4'
| 'sk$uc5' = multiply('sk$uc4','sk$uc6') ),
inference(superposition,[status(thm)],[c21,d1]) ).
cnf(d23,plain,
( inverse('sk$uc6') = 'sk$uc4'
| multiply(inverse('sk$uc4'),'sk$uc5') = 'sk$uc6' ),
inference(superposition,[status(thm)],[d22,d4]) ).
cnf(d24,plain,
( inverse('sk$uc6') = 'sk$uc4'
| inverse('sk$uc4') = 'sk$uc6' ),
inference(demodulation,[status(thm)],[d23,d19]) ).
cnf(d25,plain,
( inverse('sk$uc6') = 'sk$uc4'
| inverse('sk$uc6') = 'sk$uc4' ),
inference(superposition,[status(thm)],[d24,d21]) ).
cnf(d26,plain,
multiply('sk$uc4',multiply('sk$uc6',X0)) = X0,
inference(superposition,[status(thm)],[d25,d4]) ).
cnf(d27,plain,
'sk$uc5' = multiply(X0,inverse(X0)),
inference(demodulation,[status(thm)],[d6,d15]) ).
cnf(d28,plain,
'sk$uc5' = multiply('sk$uc6','sk$uc4'),
inference(superposition,[status(thm)],[d25,d27]) ).
cnf(d29,plain,
multiply('sk$uc4','sk$uc5') = 'sk$uc4',
inference(superposition,[status(thm)],[d28,d26]) ).
cnf(d30,plain,
'sk$uc4' = 'sk$uc4',
inference(demodulation,[status(thm)],[d29,d19]) ).
cnf(d31,plain,
X0 = multiply(identity,X0),
inference(superposition,[status(thm)],[c25,d1]) ).
cnf(d32,plain,
X0 = multiply('sk$uc5',X0),
inference(demodulation,[status(thm)],[d31,d15]) ).
cnf(d33,plain,
( multiply('sk$uc6','sk$uc5') = 'sk$uc4'
| 'sk$uc6' = multiply('sk$uc5','sk$uc4') ),
inference(superposition,[status(thm)],[c0,d1]) ).
cnf(d34,plain,
( 'sk$uc6' = multiply('sk$uc5','sk$uc4')
| multiply('sk$uc6','sk$uc5') = 'sk$uc4' ),
inference(superposition,[status(thm)],[d33,d1]) ).
cnf(d35,plain,
( 'sk$uc6' = multiply('sk$uc5','sk$uc4')
| 'sk$uc6' = 'sk$uc4' ),
inference(demodulation,[status(thm)],[d34,d19]) ).
cnf(d36,plain,
( 'sk$uc6' = 'sk$uc4'
| 'sk$uc6' = 'sk$uc4' ),
inference(demodulation,[status(thm)],[d35,d32]) ).
cnf(d37,plain,
( 'sk$uc6' = 'sk$uc4'
| 'sk$uc6' = 'sk$uc4' ),
inference(superposition,[status(thm)],[d36,d30]) ).
cnf(d38,plain,
inverse('sk$uc6') = 'sk$uc6',
inference(demodulation,[status(thm)],[d25,d37]) ).
cnf(d39,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[d16,d5]) ).
cnf(d40,plain,
multiply(X0,'sk$uc5') = X0,
inference(demodulation,[status(thm)],[d39,d15]) ).
cnf(d41,plain,
multiply('sk$uc4','sk$uc6') = 'sk$uc5',
inference(superposition,[status(thm)],[d40,d26]) ).
cnf(d42,plain,
multiply('sk$uc6','sk$uc6') = 'sk$uc5',
inference(demodulation,[status(thm)],[d41,d37]) ).
cnf(d43,plain,
( inverse('sk$uc6') != 'sk$uc4'
| inverse(X1) != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| inverse(inverse('sk$uc4')) != 'sk$uc4'
| multiply('sk$uc6','sk$uc5') != 'sk$uc4'
| multiply('sk$uc4','sk$uc6') != 'sk$uc5'
| multiply('sk$uc5','sk$uc4') != 'sk$uc6'
| multiply(X1,'sk$uc6') != 'sk$uc5'
| multiply(X0,'sk$uc6') != 'sk$uc5'
| identity != 'sk$uc5' ),
inference(superposition,[status(thm)],[c26,c24]) ).
cnf(d44,plain,
multiply(inverse(inverse(inverse(X0))),X0) = identity,
inference(superposition,[status(thm)],[d16,d4]) ).
cnf(d45,plain,
( identity != 'sk$uc5'
| inverse(inverse('sk$uc4')) != 'sk$uc4'
| inverse('sk$uc6') != 'sk$uc4'
| inverse(X0) != 'sk$uc6'
| inverse(inverse(inverse(inverse('sk$uc6')))) != 'sk$uc6'
| multiply('sk$uc6','sk$uc5') != 'sk$uc4'
| multiply('sk$uc4','sk$uc6') != 'sk$uc5'
| multiply('sk$uc5','sk$uc4') != 'sk$uc6'
| multiply(X0,'sk$uc6') != 'sk$uc5'
| identity != 'sk$uc5' ),
inference(superposition,[status(thm)],[d44,d43]) ).
cnf(d46,plain,
( identity != 'sk$uc5'
| inverse(inverse(inverse(inverse('sk$uc6')))) != 'sk$uc6'
| inverse(inverse('sk$uc4')) != 'sk$uc4'
| inverse('sk$uc6') != 'sk$uc4'
| inverse(X0) != 'sk$uc6'
| multiply('sk$uc6','sk$uc5') != 'sk$uc4'
| multiply('sk$uc4','sk$uc6') != 'sk$uc5'
| 'sk$uc4' != 'sk$uc6'
| multiply(X0,'sk$uc6') != 'sk$uc5' ),
inference(demodulation,[status(thm)],[d45,d32]) ).
cnf(d47,plain,
( identity != 'sk$uc5'
| inverse(inverse(inverse(inverse('sk$uc6')))) != 'sk$uc6'
| inverse(inverse('sk$uc4')) != 'sk$uc4'
| inverse('sk$uc6') != 'sk$uc4'
| inverse(X0) != 'sk$uc6'
| multiply('sk$uc6','sk$uc5') != 'sk$uc4'
| multiply('sk$uc4','sk$uc6') != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6'
| multiply(X0,'sk$uc6') != 'sk$uc5' ),
inference(demodulation,[status(thm)],[d46,d37]) ).
cnf(d48,plain,
( identity != 'sk$uc5'
| inverse(inverse(inverse(inverse('sk$uc6')))) != 'sk$uc6'
| inverse(inverse('sk$uc4')) != 'sk$uc4'
| inverse('sk$uc6') != 'sk$uc4'
| inverse(X0) != 'sk$uc6'
| multiply('sk$uc6','sk$uc5') != 'sk$uc4'
| multiply('sk$uc6','sk$uc6') != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6'
| multiply(X0,'sk$uc6') != 'sk$uc5' ),
inference(demodulation,[status(thm)],[d47,d37]) ).
cnf(d49,plain,
( identity != 'sk$uc5'
| inverse(inverse(inverse(inverse('sk$uc6')))) != 'sk$uc6'
| inverse(inverse('sk$uc4')) != 'sk$uc4'
| inverse('sk$uc6') != 'sk$uc4'
| inverse(X0) != 'sk$uc6'
| multiply('sk$uc6','sk$uc5') != 'sk$uc4'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6'
| multiply(X0,'sk$uc6') != 'sk$uc5' ),
inference(demodulation,[status(thm)],[d48,d42]) ).
cnf(d50,plain,
( identity != 'sk$uc5'
| inverse(inverse(inverse(inverse('sk$uc6')))) != 'sk$uc6'
| inverse(inverse('sk$uc4')) != 'sk$uc4'
| inverse('sk$uc6') != 'sk$uc4'
| inverse(X0) != 'sk$uc6'
| 'sk$uc6' != 'sk$uc4'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6'
| multiply(X0,'sk$uc6') != 'sk$uc5' ),
inference(demodulation,[status(thm)],[d49,d19]) ).
cnf(d51,plain,
( identity != 'sk$uc5'
| inverse(inverse(inverse(inverse('sk$uc6')))) != 'sk$uc6'
| inverse(inverse('sk$uc4')) != 'sk$uc4'
| inverse('sk$uc6') != 'sk$uc4'
| inverse(X0) != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6'
| multiply(X0,'sk$uc6') != 'sk$uc5' ),
inference(demodulation,[status(thm)],[d50,d37]) ).
cnf(d52,plain,
( identity != 'sk$uc5'
| inverse(inverse(inverse(inverse('sk$uc6')))) != 'sk$uc6'
| inverse(inverse('sk$uc4')) != 'sk$uc4'
| 'sk$uc6' != 'sk$uc4'
| inverse(X0) != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6'
| multiply(X0,'sk$uc6') != 'sk$uc5' ),
inference(demodulation,[status(thm)],[d51,d38]) ).
cnf(d53,plain,
( identity != 'sk$uc5'
| inverse(inverse(inverse(inverse('sk$uc6')))) != 'sk$uc6'
| inverse(inverse('sk$uc4')) != 'sk$uc4'
| 'sk$uc6' != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6'
| multiply(X0,'sk$uc6') != 'sk$uc5' ),
inference(demodulation,[status(thm)],[d52,d37]) ).
cnf(d54,plain,
( identity != 'sk$uc5'
| inverse(inverse(inverse(inverse('sk$uc6')))) != 'sk$uc6'
| 'sk$uc4' != 'sk$uc4'
| 'sk$uc6' != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6'
| multiply(X0,'sk$uc6') != 'sk$uc5' ),
inference(demodulation,[status(thm)],[d53,d21]) ).
cnf(d55,plain,
( identity != 'sk$uc5'
| inverse(inverse(inverse(inverse('sk$uc6')))) != 'sk$uc6'
| 'sk$uc6' != 'sk$uc4'
| 'sk$uc6' != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6'
| multiply(X0,'sk$uc6') != 'sk$uc5' ),
inference(demodulation,[status(thm)],[d54,d37]) ).
cnf(d56,plain,
( identity != 'sk$uc5'
| inverse(inverse(inverse(inverse('sk$uc6')))) != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6'
| multiply(X0,'sk$uc6') != 'sk$uc5' ),
inference(demodulation,[status(thm)],[d55,d37]) ).
cnf(d57,plain,
( identity != 'sk$uc5'
| inverse(inverse('sk$uc6')) != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6'
| multiply(X0,'sk$uc6') != 'sk$uc5' ),
inference(demodulation,[status(thm)],[d56,d21]) ).
cnf(d58,plain,
( identity != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6'
| multiply(X0,'sk$uc6') != 'sk$uc5' ),
inference(demodulation,[status(thm)],[d57,d21]) ).
cnf(d59,plain,
( 'sk$uc5' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6'
| multiply(X0,'sk$uc6') != 'sk$uc5' ),
inference(demodulation,[status(thm)],[d58,d15]) ).
cnf(d60,plain,
'sk$uc5' = multiply(inverse(X0),X0),
inference(demodulation,[status(thm)],[d2,d15]) ).
cnf(d61,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c25,d4]) ).
cnf(d62,plain,
multiply(inverse(inverse(identity)),X0) = X0,
inference(superposition,[status(thm)],[d61,d4]) ).
cnf(d63,plain,
identity = inverse(identity),
inference(superposition,[status(thm)],[d62,d2]) ).
cnf(d64,plain,
'sk$uc5' = inverse(identity),
inference(demodulation,[status(thm)],[d63,d15]) ).
cnf(d65,plain,
'sk$uc5' = inverse('sk$uc5'),
inference(demodulation,[status(thm)],[d64,d15]) ).
cnf(d66,plain,
'sk$uc5' = multiply('sk$uc5','sk$uc5'),
inference(superposition,[status(thm)],[d65,d60]) ).
cnf(d67,plain,
'sk$uc5' = 'sk$uc5',
inference(demodulation,[status(thm)],[d66,d32]) ).
cnf(d68,plain,
( 'sk$uc5' != 'sk$uc5'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6'
| inverse(X0) != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6'
| 'sk$uc6' != 'sk$uc6'
| multiply(X0,'sk$uc6') != 'sk$uc5' ),
inference(resolution,[status(thm)],[d67,d59]) ).
cnf(d69,plain,
X1 = multiply(inverse(X0),multiply(X0,X1)),
inference(superposition,[status(thm)],[d4,d1]) ).
cnf(d70,plain,
X0 = multiply('sk$uc4',multiply('sk$uc6',X0)),
inference(superposition,[status(thm)],[d25,d69]) ).
cnf(d71,plain,
X0 = multiply('sk$uc6',multiply('sk$uc6',X0)),
inference(demodulation,[status(thm)],[d70,d37]) ).
cnf(d72,plain,
'sk$uc5' = multiply('sk$uc4','sk$uc6'),
inference(superposition,[status(thm)],[d25,d60]) ).
cnf(d73,plain,
'sk$uc5' = multiply('sk$uc6','sk$uc6'),
inference(demodulation,[status(thm)],[d72,d37]) ).
cnf(d74,plain,
'sk$uc6' = multiply('sk$uc6','sk$uc5'),
inference(superposition,[status(thm)],[d73,d71]) ).
cnf(d75,plain,
'sk$uc6' = 'sk$uc6',
inference(demodulation,[status(thm)],[d74,d19]) ).
cnf(d76,plain,
( inverse(X0) != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| multiply(X0,'sk$uc6') != 'sk$uc5' ),
inference(resolution,[status(thm)],[d75,d68]) ).
cnf(d77,plain,
( inverse('sk$uc6') != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5'
| 'sk$uc5' != 'sk$uc5' ),
inference(superposition,[status(thm)],[d73,d76]) ).
cnf(d78,plain,
( 'sk$uc6' != 'sk$uc6'
| 'sk$uc5' != 'sk$uc5' ),
inference(demodulation,[status(thm)],[d77,d38]) ).
cnf(d79,plain,
'sk$uc6' != 'sk$uc6',
inference(resolution,[status(thm)],[d67,d78]) ).
cnf(d80,plain,
$false,
inference(resolution,[status(thm)],[d75,d79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP300-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.44 % Computer : n011.cluster.edu
% 0.21/0.44 % Model : x86_64 x86_64
% 0.21/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.44 % Memory : 8046.5625MB
% 0.21/0.44 % OS : Linux 6.8.0-71-generic
% 0.21/0.44 % CPULimit : 300
% 0.21/0.44 % WCLimit : 300
% 0.21/0.44 % DateTime : Fri Sep 25 14:43:59 UTC 2026
% 0.21/0.45 % CPUTime :
% 0.21/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 42.32/9.74 % SZS status Unsatisfiable for theBenchmark.p
% 42.32/9.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------