%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP244-1 : 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 : n012.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 07:23:28 AM UTC 2026
% Result : Unsatisfiable 55.79s 31.36s
% Output : CNFRefutation 55.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 25
% Syntax : Number of clauses : 276 ( 78 unt; 137 nHn; 202 RR)
% Number of literals : 801 ( 800 equ; 397 neg)
% Maximal clause size : 15 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 205 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this_1,negated_conjecture,
( multiply('sk$uc4','sk$uc11') = 'sk$uc10'
| multiply('sk$uc1','sk$uc11') = 'sk$uc10' ) ).
cnf(prove_this_2,negated_conjecture,
( inverse('sk$uc4') = 'sk$uc11'
| multiply('sk$uc1','sk$uc11') = 'sk$uc10' ) ).
cnf(prove_this_5,negated_conjecture,
( inverse('sk$uc6') = 'sk$uc11'
| multiply('sk$uc1','sk$uc11') = 'sk$uc10' ) ).
cnf(prove_this_12,negated_conjecture,
( multiply('sk$uc5','sk$uc10') = 'sk$uc9'
| inverse('sk$uc1') = 'sk$uc11' ) ).
cnf(prove_this_14,negated_conjecture,
( inverse('sk$uc6') = 'sk$uc11'
| inverse('sk$uc1') = 'sk$uc11' ) ).
cnf(prove_this_15,negated_conjecture,
( multiply('sk$uc6','sk$uc10') = 'sk$uc11'
| inverse('sk$uc1') = 'sk$uc11' ) ).
cnf(prove_this_16,negated_conjecture,
( multiply('sk$uc7','sk$uc8') = 'sk$uc10'
| inverse('sk$uc1') = 'sk$uc11' ) ).
cnf(prove_this_17,negated_conjecture,
( inverse('sk$uc7') = 'sk$uc8'
| inverse('sk$uc1') = 'sk$uc11' ) ).
cnf(prove_this_20,negated_conjecture,
( inverse('sk$uc4') = 'sk$uc11'
| multiply('sk$uc2','sk$uc10') = 'sk$uc9' ) ).
cnf(prove_this_21,negated_conjecture,
( multiply('sk$uc5','sk$uc10') = 'sk$uc9'
| multiply('sk$uc2','sk$uc10') = 'sk$uc9' ) ).
cnf(prove_this_22,negated_conjecture,
( inverse('sk$uc5') = 'sk$uc10'
| multiply('sk$uc2','sk$uc10') = 'sk$uc9' ) ).
cnf(prove_this_24,negated_conjecture,
( multiply('sk$uc6','sk$uc10') = 'sk$uc11'
| multiply('sk$uc2','sk$uc10') = 'sk$uc9' ) ).
cnf(prove_this_29,negated_conjecture,
( inverse('sk$uc4') = 'sk$uc11'
| inverse('sk$uc2') = 'sk$uc10' ) ).
cnf(prove_this_30,negated_conjecture,
( multiply('sk$uc5','sk$uc10') = 'sk$uc9'
| inverse('sk$uc2') = 'sk$uc10' ) ).
cnf(prove_this_31,negated_conjecture,
( inverse('sk$uc5') = 'sk$uc10'
| inverse('sk$uc2') = 'sk$uc10' ) ).
cnf(prove_this_32,negated_conjecture,
( inverse('sk$uc6') = 'sk$uc11'
| inverse('sk$uc2') = 'sk$uc10' ) ).
cnf(prove_this_39,negated_conjecture,
( multiply('sk$uc5','sk$uc10') = 'sk$uc9'
| inverse('sk$uc3') = 'sk$uc11' ) ).
cnf(prove_this_41,negated_conjecture,
( inverse('sk$uc6') = 'sk$uc11'
| inverse('sk$uc3') = 'sk$uc11' ) ).
cnf(prove_this_42,negated_conjecture,
( multiply('sk$uc6','sk$uc10') = 'sk$uc11'
| inverse('sk$uc3') = 'sk$uc11' ) ).
cnf(prove_this_50,negated_conjecture,
( inverse('sk$uc6') = 'sk$uc11'
| multiply('sk$uc3','sk$uc10') = 'sk$uc11' ) ).
cnf(prove_this_51,negated_conjecture,
( multiply('sk$uc6','sk$uc10') = 'sk$uc11'
| multiply('sk$uc3','sk$uc10') = 'sk$uc11' ) ).
cnf(prove_this_55,negated_conjecture,
( multiply(X7,'sk$uc9') != 'sk$uc10'
| inverse(X6) != X7
| multiply(X6,X7) != 'sk$uc10'
| multiply(X5,'sk$uc10') != 'sk$uc11'
| inverse(X5) != 'sk$uc11'
| inverse(X4) != 'sk$uc10'
| multiply(X4,'sk$uc10') != 'sk$uc9'
| inverse(X3) != 'sk$uc11'
| multiply(X3,'sk$uc11') != 'sk$uc10'
| multiply(X2,'sk$uc10') != 'sk$uc11'
| inverse(X2) != 'sk$uc11'
| inverse(X1) != 'sk$uc10'
| multiply(X1,'sk$uc10') != 'sk$uc9'
| inverse(X0) != 'sk$uc11'
| multiply(X0,'sk$uc11') != 'sk$uc10' ) ).
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$uc4','sk$uc11') = 'sk$uc10'
| multiply('sk$uc1','sk$uc11') = 'sk$uc10' ),
inference(clausification,[status(esa)],[prove_this_1]) ).
cnf(c1,plain,
( inverse('sk$uc4') = 'sk$uc11'
| multiply('sk$uc1','sk$uc11') = 'sk$uc10' ),
inference(clausification,[status(esa)],[prove_this_2]) ).
cnf(c4,plain,
( inverse('sk$uc6') = 'sk$uc11'
| multiply('sk$uc1','sk$uc11') = 'sk$uc10' ),
inference(clausification,[status(esa)],[prove_this_5]) ).
cnf(c11,plain,
( multiply('sk$uc5','sk$uc10') = 'sk$uc9'
| inverse('sk$uc1') = 'sk$uc11' ),
inference(clausification,[status(esa)],[prove_this_12]) ).
cnf(c13,plain,
( inverse('sk$uc6') = 'sk$uc11'
| inverse('sk$uc1') = 'sk$uc11' ),
inference(clausification,[status(esa)],[prove_this_14]) ).
cnf(c14,plain,
( multiply('sk$uc6','sk$uc10') = 'sk$uc11'
| inverse('sk$uc1') = 'sk$uc11' ),
inference(clausification,[status(esa)],[prove_this_15]) ).
cnf(c15,plain,
( multiply('sk$uc7','sk$uc8') = 'sk$uc10'
| inverse('sk$uc1') = 'sk$uc11' ),
inference(clausification,[status(esa)],[prove_this_16]) ).
cnf(c16,plain,
( inverse('sk$uc7') = 'sk$uc8'
| inverse('sk$uc1') = 'sk$uc11' ),
inference(clausification,[status(esa)],[prove_this_17]) ).
cnf(c19,plain,
( inverse('sk$uc4') = 'sk$uc11'
| multiply('sk$uc2','sk$uc10') = 'sk$uc9' ),
inference(clausification,[status(esa)],[prove_this_20]) ).
cnf(c20,plain,
( multiply('sk$uc5','sk$uc10') = 'sk$uc9'
| multiply('sk$uc2','sk$uc10') = 'sk$uc9' ),
inference(clausification,[status(esa)],[prove_this_21]) ).
cnf(c21,plain,
( inverse('sk$uc5') = 'sk$uc10'
| multiply('sk$uc2','sk$uc10') = 'sk$uc9' ),
inference(clausification,[status(esa)],[prove_this_22]) ).
cnf(c23,plain,
( multiply('sk$uc6','sk$uc10') = 'sk$uc11'
| multiply('sk$uc2','sk$uc10') = 'sk$uc9' ),
inference(clausification,[status(esa)],[prove_this_24]) ).
cnf(c28,plain,
( inverse('sk$uc4') = 'sk$uc11'
| inverse('sk$uc2') = 'sk$uc10' ),
inference(clausification,[status(esa)],[prove_this_29]) ).
cnf(c29,plain,
( multiply('sk$uc5','sk$uc10') = 'sk$uc9'
| inverse('sk$uc2') = 'sk$uc10' ),
inference(clausification,[status(esa)],[prove_this_30]) ).
cnf(c30,plain,
( inverse('sk$uc5') = 'sk$uc10'
| inverse('sk$uc2') = 'sk$uc10' ),
inference(clausification,[status(esa)],[prove_this_31]) ).
cnf(c31,plain,
( inverse('sk$uc6') = 'sk$uc11'
| inverse('sk$uc2') = 'sk$uc10' ),
inference(clausification,[status(esa)],[prove_this_32]) ).
cnf(c38,plain,
( multiply('sk$uc5','sk$uc10') = 'sk$uc9'
| inverse('sk$uc3') = 'sk$uc11' ),
inference(clausification,[status(esa)],[prove_this_39]) ).
cnf(c40,plain,
( inverse('sk$uc6') = 'sk$uc11'
| inverse('sk$uc3') = 'sk$uc11' ),
inference(clausification,[status(esa)],[prove_this_41]) ).
cnf(c41,plain,
( multiply('sk$uc6','sk$uc10') = 'sk$uc11'
| inverse('sk$uc3') = 'sk$uc11' ),
inference(clausification,[status(esa)],[prove_this_42]) ).
cnf(c49,plain,
( inverse('sk$uc6') = 'sk$uc11'
| multiply('sk$uc3','sk$uc10') = 'sk$uc11' ),
inference(clausification,[status(esa)],[prove_this_50]) ).
cnf(c50,plain,
( multiply('sk$uc6','sk$uc10') = 'sk$uc11'
| multiply('sk$uc3','sk$uc10') = 'sk$uc11' ),
inference(clausification,[status(esa)],[prove_this_51]) ).
cnf(c54,plain,
( multiply(X1,'sk$uc10') != 'sk$uc9'
| inverse(X4) != 'sk$uc11'
| inverse(X7) != 'sk$uc11'
| multiply(X7,'sk$uc10') != 'sk$uc11'
| multiply(X2,'sk$uc11') != 'sk$uc10'
| inverse(X3) != 'sk$uc11'
| multiply(X6,'sk$uc9') != 'sk$uc10'
| multiply(X0,'sk$uc10') != 'sk$uc9'
| multiply(X5,X6) != 'sk$uc10'
| inverse(X5) != X6
| multiply(X4,'sk$uc11') != 'sk$uc10'
| multiply(X3,'sk$uc10') != 'sk$uc11'
| inverse(X2) != 'sk$uc11'
| inverse(X1) != 'sk$uc10'
| inverse(X0) != 'sk$uc10' ),
inference(clausification,[status(esa)],[prove_this_55]) ).
cnf(c55,plain,
multiply(identity,X0) = X0,
inference(clausification,[status(esa)],[left_identity]) ).
cnf(c56,plain,
multiply(inverse(X0),X0) = identity,
inference(clausification,[status(esa)],[left_inverse]) ).
cnf(c57,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)],[c56,c57]) ).
cnf(d1,plain,
multiply(inverse(X1),multiply(X1,X0)) = X0,
inference(demodulation,[status(thm)],[d0,c55]) ).
cnf(d2,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[d1,d1]) ).
cnf(d3,plain,
multiply(identity,multiply(X0,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c55,c57]) ).
cnf(d4,plain,
multiply(X0,X1) = multiply(X0,X1),
inference(demodulation,[status(thm)],[d3,c55]) ).
cnf(d5,plain,
identity = multiply(inverse(X0),X0),
inference(superposition,[status(thm)],[c56,d4]) ).
cnf(d6,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
X0 = multiply(inverse(inverse(X0)),identity),
inference(superposition,[status(thm)],[d6,d4]) ).
cnf(d8,plain,
X0 = multiply(X0,identity),
inference(demodulation,[status(thm)],[d7,d2]) ).
cnf(d9,plain,
inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[status(thm)],[d8,d2]) ).
cnf(d10,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[d9,d8]) ).
cnf(d11,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[d2,c56]) ).
cnf(d12,plain,
( inverse('sk$uc5') = 'sk$uc10'
| 'sk$uc9' = multiply('sk$uc2','sk$uc10') ),
inference(superposition,[status(thm)],[c21,d4]) ).
cnf(d13,plain,
( inverse('sk$uc5') = 'sk$uc10'
| multiply('sk$uc2','sk$uc10') = identity ),
inference(superposition,[status(thm)],[c30,d11]) ).
cnf(d14,plain,
( inverse('sk$uc5') = 'sk$uc10'
| inverse('sk$uc5') = 'sk$uc10'
| 'sk$uc9' = identity ),
inference(superposition,[status(thm)],[d13,d12]) ).
cnf(d15,plain,
( 'sk$uc9' = identity
| multiply('sk$uc5','sk$uc10') = identity ),
inference(superposition,[status(thm)],[d14,d11]) ).
cnf(d16,plain,
( multiply('sk$uc5','sk$uc10') = 'sk$uc9'
| 'sk$uc9' = multiply('sk$uc2','sk$uc10') ),
inference(superposition,[status(thm)],[c20,d4]) ).
cnf(d17,plain,
( inverse('sk$uc2') = 'sk$uc10'
| 'sk$uc9' = multiply('sk$uc5','sk$uc10') ),
inference(superposition,[status(thm)],[c29,d4]) ).
cnf(d18,plain,
( 'sk$uc9' = identity
| inverse('sk$uc2') = 'sk$uc10'
| 'sk$uc9' = identity ),
inference(superposition,[status(thm)],[d15,d17]) ).
cnf(d19,plain,
( 'sk$uc9' = identity
| multiply('sk$uc2','sk$uc10') = identity ),
inference(superposition,[status(thm)],[d18,d11]) ).
cnf(d20,plain,
( 'sk$uc9' = identity
| multiply('sk$uc5','sk$uc10') = 'sk$uc9'
| 'sk$uc9' = identity ),
inference(superposition,[status(thm)],[d19,d16]) ).
cnf(d21,plain,
( 'sk$uc9' = identity
| 'sk$uc9' = identity
| 'sk$uc9' = identity ),
inference(superposition,[status(thm)],[d20,d15]) ).
cnf(d22,plain,
identity = multiply(X0,inverse(X0)),
inference(superposition,[status(thm)],[d2,d5]) ).
cnf(d23,plain,
'sk$uc9' = multiply(X0,inverse(X0)),
inference(demodulation,[status(thm)],[d22,d21]) ).
cnf(d24,plain,
( inverse('sk$uc1') = 'sk$uc11'
| multiply('sk$uc7','sk$uc8') = identity ),
inference(superposition,[status(thm)],[c16,d11]) ).
cnf(d25,plain,
( inverse('sk$uc1') = 'sk$uc11'
| multiply('sk$uc7','sk$uc8') = 'sk$uc9' ),
inference(demodulation,[status(thm)],[d24,d21]) ).
cnf(d26,plain,
( inverse('sk$uc1') = 'sk$uc11'
| inverse('sk$uc1') = 'sk$uc11'
| 'sk$uc9' = 'sk$uc10' ),
inference(superposition,[status(thm)],[d25,c15]) ).
cnf(d27,plain,
( 'sk$uc9' = 'sk$uc10'
| 'sk$uc9' = multiply('sk$uc1','sk$uc11') ),
inference(superposition,[status(thm)],[d26,d23]) ).
cnf(d28,plain,
( 'sk$uc9' = 'sk$uc10'
| multiply('sk$uc4','sk$uc11') = 'sk$uc10'
| 'sk$uc9' = 'sk$uc10' ),
inference(superposition,[status(thm)],[d27,c0]) ).
cnf(d29,plain,
( 'sk$uc9' = 'sk$uc10'
| inverse('sk$uc4') = 'sk$uc11'
| 'sk$uc9' = 'sk$uc10' ),
inference(superposition,[status(thm)],[d27,c1]) ).
cnf(d30,plain,
( 'sk$uc9' = 'sk$uc10'
| 'sk$uc9' = multiply('sk$uc4','sk$uc11') ),
inference(superposition,[status(thm)],[d29,d23]) ).
cnf(d31,plain,
( 'sk$uc9' = 'sk$uc10'
| 'sk$uc9' = 'sk$uc10'
| 'sk$uc9' = 'sk$uc10' ),
inference(superposition,[status(thm)],[d30,d28]) ).
cnf(d32,plain,
'sk$uc10' = identity,
inference(demodulation,[status(thm)],[d21,d31]) ).
cnf(d33,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c55,d1]) ).
cnf(d34,plain,
multiply(inverse(inverse(identity)),X0) = X0,
inference(superposition,[status(thm)],[d33,d1]) ).
cnf(d35,plain,
identity = inverse(identity),
inference(superposition,[status(thm)],[d34,d5]) ).
cnf(d36,plain,
'sk$uc9' = inverse(identity),
inference(demodulation,[status(thm)],[d35,d21]) ).
cnf(d37,plain,
'sk$uc9' = inverse('sk$uc9'),
inference(demodulation,[status(thm)],[d36,d21]) ).
cnf(d38,plain,
'sk$uc10' = inverse('sk$uc9'),
inference(demodulation,[status(thm)],[d37,d31]) ).
cnf(d39,plain,
'sk$uc10' = inverse('sk$uc10'),
inference(demodulation,[status(thm)],[d38,d31]) ).
cnf(d40,plain,
multiply('sk$uc9',X0) = X0,
inference(demodulation,[status(thm)],[c55,d21]) ).
cnf(d41,plain,
multiply('sk$uc10',X0) = X0,
inference(demodulation,[status(thm)],[d40,d31]) ).
cnf(d42,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[d6,d2]) ).
cnf(d43,plain,
multiply(X0,'sk$uc9') = X0,
inference(demodulation,[status(thm)],[d42,d21]) ).
cnf(d44,plain,
multiply(X0,'sk$uc10') = X0,
inference(demodulation,[status(thm)],[d43,d31]) ).
cnf(d45,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[d34,c56]) ).
cnf(d46,plain,
( inverse(X0) != 'sk$uc10'
| inverse(X6) != 'sk$uc11'
| inverse(X5) != 'sk$uc11'
| inverse(X4) != 'sk$uc11'
| inverse(X3) != X2
| inverse(X1) != 'sk$uc11'
| inverse(X0) != 'sk$uc10'
| multiply(X6,'sk$uc11') != 'sk$uc10'
| multiply(X5,'sk$uc11') != 'sk$uc10'
| multiply(X4,'sk$uc10') != 'sk$uc11'
| multiply(X3,X2) != 'sk$uc10'
| multiply(X2,'sk$uc9') != 'sk$uc10'
| multiply(X1,'sk$uc10') != 'sk$uc11'
| multiply(X0,'sk$uc10') != 'sk$uc9' ),
inference(factoring,[status(thm)],[c54]) ).
cnf(d47,plain,
( inverse(X5) != 'sk$uc10'
| inverse(X4) != 'sk$uc11'
| inverse(X2) != X3
| inverse(X1) != 'sk$uc11'
| inverse(X0) != 'sk$uc11'
| inverse(X0) != 'sk$uc11'
| multiply(X5,'sk$uc10') != 'sk$uc9'
| multiply(X4,'sk$uc10') != 'sk$uc11'
| multiply(X3,'sk$uc9') != 'sk$uc10'
| multiply(X2,X3) != 'sk$uc10'
| multiply(X1,'sk$uc10') != 'sk$uc11'
| multiply(X0,'sk$uc11') != 'sk$uc10' ),
inference(factoring,[status(thm)],[d46]) ).
cnf(d48,plain,
( inverse(X4) != 'sk$uc11'
| inverse(X1) != 'sk$uc11'
| inverse(X3) != X2
| inverse(X1) != 'sk$uc11'
| inverse(X0) != 'sk$uc10'
| multiply(X4,'sk$uc11') != 'sk$uc10'
| multiply(X3,X2) != 'sk$uc10'
| multiply(X2,'sk$uc9') != 'sk$uc10'
| multiply(X1,'sk$uc10') != 'sk$uc11'
| multiply(X0,'sk$uc10') != 'sk$uc9' ),
inference(factoring,[status(thm)],[d47]) ).
cnf(d49,plain,
( inverse(identity) != 'sk$uc10'
| inverse(X3) != 'sk$uc11'
| inverse(X1) != X2
| inverse(X0) != 'sk$uc11'
| multiply(X3,'sk$uc10') != 'sk$uc11'
| multiply(X2,'sk$uc9') != 'sk$uc10'
| multiply(X1,X2) != 'sk$uc10'
| multiply(X0,'sk$uc11') != 'sk$uc10'
| 'sk$uc10' != 'sk$uc9' ),
inference(superposition,[status(thm)],[c55,d48]) ).
cnf(d50,plain,
( inverse(identity) != 'sk$uc10'
| inverse(inverse('sk$uc11')) != 'sk$uc11'
| inverse(X2) != X1
| inverse(X0) != 'sk$uc11'
| 'sk$uc10' != 'sk$uc9'
| multiply(X2,X1) != 'sk$uc10'
| multiply(X1,'sk$uc9') != 'sk$uc10'
| multiply(X0,'sk$uc10') != 'sk$uc11'
| identity != 'sk$uc10' ),
inference(superposition,[status(thm)],[d5,d49]) ).
cnf(d51,plain,
( identity != 'sk$uc10'
| inverse(identity) != 'sk$uc10'
| 'sk$uc11' != 'sk$uc11'
| inverse(X2) != 'sk$uc11'
| inverse(X0) != X1
| 'sk$uc10' != 'sk$uc9'
| multiply(X2,'sk$uc10') != 'sk$uc11'
| multiply(X1,'sk$uc9') != 'sk$uc10'
| multiply(X0,X1) != 'sk$uc10' ),
inference(demodulation,[status(thm)],[d50,d10]) ).
cnf(d52,plain,
( identity != 'sk$uc10'
| identity != 'sk$uc10'
| 'sk$uc11' != 'sk$uc11'
| inverse(X2) != 'sk$uc11'
| inverse(X0) != X1
| 'sk$uc10' != 'sk$uc9'
| multiply(X2,'sk$uc10') != 'sk$uc11'
| multiply(X1,'sk$uc9') != 'sk$uc10'
| multiply(X0,X1) != 'sk$uc10' ),
inference(demodulation,[status(thm)],[d51,d45]) ).
cnf(d53,plain,
( inverse('sk$uc4') = 'sk$uc11'
| multiply('sk$uc10','sk$uc2') = identity ),
inference(superposition,[status(thm)],[c28,c56]) ).
cnf(d54,plain,
( inverse('sk$uc4') = 'sk$uc11'
| multiply('sk$uc10',multiply('sk$uc2',X0)) = multiply(identity,X0) ),
inference(superposition,[status(thm)],[d53,c57]) ).
cnf(d55,plain,
( inverse('sk$uc4') = 'sk$uc11'
| multiply('sk$uc10',multiply('sk$uc2',X0)) = X0 ),
inference(demodulation,[status(thm)],[d54,c55]) ).
cnf(d56,plain,
( inverse('sk$uc4') = 'sk$uc11'
| 'sk$uc9' = multiply('sk$uc2','sk$uc10') ),
inference(superposition,[status(thm)],[c19,d4]) ).
cnf(d57,plain,
( inverse('sk$uc4') = 'sk$uc11'
| inverse('sk$uc4') = 'sk$uc11'
| multiply('sk$uc10','sk$uc9') = 'sk$uc10' ),
inference(superposition,[status(thm)],[d56,d55]) ).
cnf(d58,plain,
( inverse('sk$uc4') = 'sk$uc11'
| identity != 'sk$uc10'
| identity != 'sk$uc10'
| 'sk$uc11' != 'sk$uc11'
| inverse(X0) != 'sk$uc11'
| inverse('sk$uc10') != 'sk$uc9'
| 'sk$uc10' != 'sk$uc9'
| multiply(X0,'sk$uc10') != 'sk$uc11'
| multiply('sk$uc9','sk$uc9') != 'sk$uc10'
| 'sk$uc10' != 'sk$uc10' ),
inference(superposition,[status(thm)],[d57,d52]) ).
cnf(d59,plain,
( identity != 'sk$uc10'
| inverse('sk$uc10') != 'sk$uc9'
| inverse('sk$uc4') = 'sk$uc11'
| inverse(X0) != 'sk$uc11'
| 'sk$uc10' != 'sk$uc9'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc11' != 'sk$uc11'
| multiply('sk$uc9','sk$uc9') != 'sk$uc10'
| X0 != 'sk$uc11' ),
inference(demodulation,[status(thm)],[d58,d44]) ).
cnf(d60,plain,
( identity != 'sk$uc10'
| inverse('sk$uc10') != 'sk$uc9'
| inverse('sk$uc4') = 'sk$uc11'
| inverse(X0) != 'sk$uc11'
| 'sk$uc10' != 'sk$uc9'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc11' != 'sk$uc11'
| multiply('sk$uc10','sk$uc9') != 'sk$uc10'
| X0 != 'sk$uc11' ),
inference(demodulation,[status(thm)],[d59,d31]) ).
cnf(d61,plain,
( identity != 'sk$uc10'
| inverse('sk$uc10') != 'sk$uc9'
| inverse('sk$uc4') = 'sk$uc11'
| inverse(X0) != 'sk$uc11'
| 'sk$uc10' != 'sk$uc9'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc11' != 'sk$uc11'
| 'sk$uc9' != 'sk$uc10'
| X0 != 'sk$uc11' ),
inference(demodulation,[status(thm)],[d60,d41]) ).
cnf(d62,plain,
( identity != 'sk$uc10'
| inverse('sk$uc10') != 'sk$uc9'
| inverse('sk$uc4') = 'sk$uc11'
| inverse(X0) != 'sk$uc11'
| 'sk$uc10' != 'sk$uc9'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc11' != 'sk$uc11'
| 'sk$uc10' != 'sk$uc10'
| X0 != 'sk$uc11' ),
inference(demodulation,[status(thm)],[d61,d31]) ).
cnf(d63,plain,
( identity != 'sk$uc10'
| inverse('sk$uc10') != 'sk$uc9'
| inverse('sk$uc4') = 'sk$uc11'
| inverse(X0) != 'sk$uc11'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc11' != 'sk$uc11'
| 'sk$uc10' != 'sk$uc10'
| X0 != 'sk$uc11' ),
inference(demodulation,[status(thm)],[d62,d31]) ).
cnf(d64,plain,
( identity != 'sk$uc10'
| 'sk$uc10' != 'sk$uc9'
| inverse('sk$uc4') = 'sk$uc11'
| inverse(X0) != 'sk$uc11'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc11' != 'sk$uc11'
| 'sk$uc10' != 'sk$uc10'
| X0 != 'sk$uc11' ),
inference(demodulation,[status(thm)],[d63,d39]) ).
cnf(d65,plain,
( identity != 'sk$uc10'
| 'sk$uc10' != 'sk$uc10'
| inverse('sk$uc4') = 'sk$uc11'
| inverse(X0) != 'sk$uc11'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc11' != 'sk$uc11'
| 'sk$uc10' != 'sk$uc10'
| X0 != 'sk$uc11' ),
inference(demodulation,[status(thm)],[d64,d31]) ).
cnf(d66,plain,
( 'sk$uc10' != 'sk$uc10'
| 'sk$uc10' != 'sk$uc10'
| inverse('sk$uc4') = 'sk$uc11'
| inverse(X0) != 'sk$uc11'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc11' != 'sk$uc11'
| 'sk$uc10' != 'sk$uc10'
| X0 != 'sk$uc11' ),
inference(demodulation,[status(thm)],[d65,d32]) ).
cnf(d67,plain,
multiply(X0,inverse(X0)) = 'sk$uc9',
inference(demodulation,[status(thm)],[d11,d21]) ).
cnf(d68,plain,
multiply(X0,inverse(X0)) = 'sk$uc10',
inference(demodulation,[status(thm)],[d67,d31]) ).
cnf(d69,plain,
inverse('sk$uc9') = identity,
inference(demodulation,[status(thm)],[d45,d21]) ).
cnf(d70,plain,
inverse('sk$uc9') = 'sk$uc9',
inference(demodulation,[status(thm)],[d69,d21]) ).
cnf(d71,plain,
inverse('sk$uc10') = 'sk$uc9',
inference(demodulation,[status(thm)],[d70,d31]) ).
cnf(d72,plain,
inverse('sk$uc10') = 'sk$uc10',
inference(demodulation,[status(thm)],[d71,d31]) ).
cnf(d73,plain,
multiply('sk$uc10','sk$uc10') = 'sk$uc10',
inference(superposition,[status(thm)],[d72,d68]) ).
cnf(d74,plain,
'sk$uc10' = 'sk$uc10',
inference(demodulation,[status(thm)],[d73,d41]) ).
cnf(d75,plain,
( 'sk$uc10' != 'sk$uc10'
| 'sk$uc10' != 'sk$uc10'
| inverse('sk$uc4') = 'sk$uc11'
| inverse(X0) != 'sk$uc11'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc11' != 'sk$uc11'
| X0 != 'sk$uc11' ),
inference(resolution,[status(thm)],[d74,d66]) ).
cnf(d76,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[d2,d1]) ).
cnf(d77,plain,
( identity != 'sk$uc10'
| identity != 'sk$uc10'
| 'sk$uc11' != 'sk$uc11'
| inverse(X1) != 'sk$uc11'
| inverse(inverse(X0)) != X0
| 'sk$uc10' != 'sk$uc9'
| multiply(X1,'sk$uc10') != 'sk$uc11'
| multiply(X0,'sk$uc9') != 'sk$uc10'
| identity != 'sk$uc10' ),
inference(superposition,[status(thm)],[d5,d52]) ).
cnf(d78,plain,
( identity != 'sk$uc10'
| inverse(inverse(X1)) != X1
| inverse(X0) != 'sk$uc11'
| 'sk$uc10' != 'sk$uc9'
| 'sk$uc11' != 'sk$uc11'
| multiply(X1,'sk$uc9') != 'sk$uc10'
| X0 != 'sk$uc11' ),
inference(demodulation,[status(thm)],[d77,d44]) ).
cnf(d79,plain,
( identity != 'sk$uc10'
| inverse(inverse(X1)) != X1
| inverse(X0) != 'sk$uc11'
| 'sk$uc10' != 'sk$uc9'
| 'sk$uc11' != 'sk$uc11'
| multiply(X1,'sk$uc10') != 'sk$uc10'
| X0 != 'sk$uc11' ),
inference(demodulation,[status(thm)],[d78,d31]) ).
cnf(d80,plain,
( identity != 'sk$uc10'
| inverse(inverse(X0)) != X0
| inverse(X1) != 'sk$uc11'
| 'sk$uc10' != 'sk$uc9'
| 'sk$uc11' != 'sk$uc11'
| X0 != 'sk$uc10'
| X1 != 'sk$uc11' ),
inference(demodulation,[status(thm)],[d79,d44]) ).
cnf(d81,plain,
( identity != 'sk$uc10'
| inverse(inverse(X1)) != X1
| inverse(X0) != 'sk$uc11'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc11' != 'sk$uc11'
| X1 != 'sk$uc10'
| X0 != 'sk$uc11' ),
inference(demodulation,[status(thm)],[d80,d31]) ).
cnf(d82,plain,
( identity != 'sk$uc10'
| X0 != X0
| inverse(X1) != 'sk$uc11'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc11' != 'sk$uc11'
| X0 != 'sk$uc10'
| X1 != 'sk$uc11' ),
inference(demodulation,[status(thm)],[d81,d10]) ).
cnf(d83,plain,
( 'sk$uc10' != 'sk$uc10'
| X1 != X1
| inverse(X0) != 'sk$uc11'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc11' != 'sk$uc11'
| X1 != 'sk$uc10'
| X0 != 'sk$uc11' ),
inference(demodulation,[status(thm)],[d82,d32]) ).
cnf(d84,plain,
( 'sk$uc10' != 'sk$uc10'
| X1 != X1
| inverse(X0) != 'sk$uc11'
| 'sk$uc11' != 'sk$uc11'
| X1 != 'sk$uc10'
| X0 != 'sk$uc11' ),
inference(resolution,[status(thm)],[d74,d83]) ).
cnf(d85,plain,
( inverse('sk$uc3') = 'sk$uc11'
| 'sk$uc6' = 'sk$uc11' ),
inference(demodulation,[status(thm)],[c41,d44]) ).
cnf(d86,plain,
( multiply('sk$uc6','sk$uc10') = 'sk$uc11'
| 'sk$uc11' = multiply('sk$uc3','sk$uc10') ),
inference(superposition,[status(thm)],[c50,d4]) ).
cnf(d87,plain,
( 'sk$uc11' = multiply('sk$uc3','sk$uc10')
| 'sk$uc6' = 'sk$uc11' ),
inference(demodulation,[status(thm)],[d86,d44]) ).
cnf(d88,plain,
( 'sk$uc11' = 'sk$uc3'
| 'sk$uc6' = 'sk$uc11' ),
inference(demodulation,[status(thm)],[d87,d44]) ).
cnf(d89,plain,
( 'sk$uc6' = 'sk$uc11'
| 'sk$uc6' = 'sk$uc11'
| inverse('sk$uc11') = 'sk$uc11' ),
inference(superposition,[status(thm)],[d88,d85]) ).
cnf(d90,plain,
( 'sk$uc6' = 'sk$uc11'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc11' != 'sk$uc11'
| 'sk$uc11' != 'sk$uc11'
| X0 != 'sk$uc10'
| X0 != X0
| 'sk$uc11' != 'sk$uc11' ),
inference(superposition,[status(thm)],[d89,d84]) ).
cnf(d91,plain,
( 'sk$uc6' = 'sk$uc11'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc11' != 'sk$uc11'
| 'sk$uc10' != 'sk$uc10' ),
inference(factoring,[status(thm)],[d90]) ).
cnf(d92,plain,
( 'sk$uc6' = 'sk$uc11'
| 'sk$uc11' != 'sk$uc11' ),
inference(resolution,[status(thm)],[d74,d91]) ).
cnf(d93,plain,
( multiply('sk$uc6','sk$uc10') = 'sk$uc11'
| multiply('sk$uc2',multiply('sk$uc10',X0)) = multiply('sk$uc9',X0) ),
inference(superposition,[status(thm)],[c23,c57]) ).
cnf(d94,plain,
( multiply('sk$uc6','sk$uc10') = 'sk$uc11'
| multiply('sk$uc2',X0) = multiply('sk$uc9',multiply(inverse('sk$uc10'),X0)) ),
inference(superposition,[status(thm)],[d76,d93]) ).
cnf(d95,plain,
( multiply('sk$uc2',X0) = multiply('sk$uc9',multiply(inverse('sk$uc10'),X0))
| 'sk$uc6' = 'sk$uc11' ),
inference(demodulation,[status(thm)],[d94,d44]) ).
cnf(d96,plain,
( multiply('sk$uc2',X0) = multiply('sk$uc10',multiply(inverse('sk$uc10'),X0))
| 'sk$uc6' = 'sk$uc11' ),
inference(demodulation,[status(thm)],[d95,d31]) ).
cnf(d97,plain,
( multiply('sk$uc2',X0) = multiply(inverse('sk$uc10'),X0)
| 'sk$uc6' = 'sk$uc11' ),
inference(demodulation,[status(thm)],[d96,d41]) ).
cnf(d98,plain,
( multiply('sk$uc2',X0) = multiply('sk$uc10',X0)
| 'sk$uc6' = 'sk$uc11' ),
inference(demodulation,[status(thm)],[d97,d39]) ).
cnf(d99,plain,
( multiply('sk$uc2',X0) = X0
| 'sk$uc6' = 'sk$uc11' ),
inference(demodulation,[status(thm)],[d98,d41]) ).
cnf(d100,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[d2,d42]) ).
cnf(d101,plain,
X0 = inverse(inverse(X0)),
inference(demodulation,[status(thm)],[d100,d8]) ).
cnf(d102,plain,
( inverse('sk$uc6') = 'sk$uc11'
| inverse('sk$uc10') = 'sk$uc2' ),
inference(superposition,[status(thm)],[c31,d10]) ).
cnf(d103,plain,
( inverse('sk$uc10') = 'sk$uc2'
| 'sk$uc6' = inverse('sk$uc11') ),
inference(superposition,[status(thm)],[d102,d101]) ).
cnf(d104,plain,
( 'sk$uc6' = inverse('sk$uc11')
| 'sk$uc10' = 'sk$uc2' ),
inference(demodulation,[status(thm)],[d103,d39]) ).
cnf(d105,plain,
( 'sk$uc6' = 'sk$uc11'
| 'sk$uc10' = 'sk$uc2'
| 'sk$uc6' = 'sk$uc11' ),
inference(superposition,[status(thm)],[d89,d104]) ).
cnf(d106,plain,
( 'sk$uc6' = 'sk$uc11'
| 'sk$uc6' = 'sk$uc11'
| multiply('sk$uc10',X0) = X0 ),
inference(superposition,[status(thm)],[d105,d99]) ).
cnf(d107,plain,
( 'sk$uc6' = 'sk$uc11'
| X0 = X0 ),
inference(demodulation,[status(thm)],[d106,d41]) ).
cnf(d108,plain,
( 'sk$uc6' = 'sk$uc11'
| 'sk$uc6' = 'sk$uc11' ),
inference(resolution,[status(thm)],[d107,d92]) ).
cnf(d109,plain,
( inverse('sk$uc1') = 'sk$uc11'
| 'sk$uc11' = multiply('sk$uc6','sk$uc10') ),
inference(superposition,[status(thm)],[c14,d4]) ).
cnf(d110,plain,
( inverse('sk$uc1') = 'sk$uc11'
| 'sk$uc11' = 'sk$uc6' ),
inference(demodulation,[status(thm)],[d109,d44]) ).
cnf(d111,plain,
( 'sk$uc11' = 'sk$uc6'
| inverse('sk$uc11') = 'sk$uc1' ),
inference(superposition,[status(thm)],[d110,d10]) ).
cnf(d112,plain,
( inverse('sk$uc3') = 'sk$uc11'
| 'sk$uc11' = multiply('sk$uc6','sk$uc10') ),
inference(superposition,[status(thm)],[c41,d4]) ).
cnf(d113,plain,
( inverse('sk$uc3') = 'sk$uc11'
| 'sk$uc11' = 'sk$uc6' ),
inference(demodulation,[status(thm)],[d112,d44]) ).
cnf(d114,plain,
( 'sk$uc11' = 'sk$uc6'
| inverse('sk$uc11') = 'sk$uc3' ),
inference(superposition,[status(thm)],[d113,d10]) ).
cnf(d115,plain,
( 'sk$uc11' = 'sk$uc6'
| 'sk$uc11' = 'sk$uc6'
| 'sk$uc3' = 'sk$uc1' ),
inference(superposition,[status(thm)],[d114,d111]) ).
cnf(d116,plain,
( inverse('sk$uc6') = 'sk$uc11'
| 'sk$uc3' = 'sk$uc11' ),
inference(demodulation,[status(thm)],[c49,d44]) ).
cnf(d117,plain,
( 'sk$uc3' = 'sk$uc11'
| 'sk$uc6' = inverse('sk$uc11') ),
inference(superposition,[status(thm)],[d116,d101]) ).
cnf(d118,plain,
( 'sk$uc11' = 'sk$uc6'
| 'sk$uc3' = 'sk$uc11'
| 'sk$uc6' = 'sk$uc1' ),
inference(superposition,[status(thm)],[d111,d117]) ).
cnf(d119,plain,
( 'sk$uc6' = 'sk$uc1'
| 'sk$uc11' = 'sk$uc6'
| 'sk$uc11' = 'sk$uc6'
| 'sk$uc11' = 'sk$uc1' ),
inference(superposition,[status(thm)],[d118,d115]) ).
cnf(d120,plain,
( 'sk$uc6' = 'sk$uc1'
| 'sk$uc11' = 'sk$uc11'
| 'sk$uc11' = 'sk$uc1' ),
inference(demodulation,[status(thm)],[d119,d108]) ).
cnf(d121,plain,
( 'sk$uc11' = 'sk$uc1'
| 'sk$uc11' = 'sk$uc11'
| 'sk$uc11' = 'sk$uc1' ),
inference(demodulation,[status(thm)],[d120,d108]) ).
cnf(d122,plain,
multiply(inverse(X0),identity) = inverse(X0),
inference(superposition,[status(thm)],[d11,d1]) ).
cnf(d123,plain,
inverse(X0) = inverse(X0),
inference(demodulation,[status(thm)],[d122,d8]) ).
cnf(d124,plain,
( 'sk$uc6' = 'sk$uc11'
| 'sk$uc11' = inverse('sk$uc3') ),
inference(superposition,[status(thm)],[d85,d123]) ).
cnf(d125,plain,
( 'sk$uc6' = 'sk$uc11'
| 'sk$uc6' = 'sk$uc11'
| 'sk$uc11' = inverse('sk$uc11') ),
inference(superposition,[status(thm)],[d88,d124]) ).
cnf(d126,plain,
( 'sk$uc6' = 'sk$uc11'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc11' != 'sk$uc11'
| 'sk$uc11' != 'sk$uc11'
| X0 != 'sk$uc10'
| X0 != X0
| 'sk$uc11' != 'sk$uc11' ),
inference(superposition,[status(thm)],[d125,d84]) ).
cnf(d127,plain,
( 'sk$uc6' = 'sk$uc11'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc11' != 'sk$uc11'
| 'sk$uc10' != 'sk$uc10' ),
inference(factoring,[status(thm)],[d126]) ).
cnf(d128,plain,
( 'sk$uc11' = 'sk$uc11'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc11' != 'sk$uc11' ),
inference(demodulation,[status(thm)],[d127,d108]) ).
cnf(d129,plain,
( 'sk$uc11' = 'sk$uc11'
| 'sk$uc11' != 'sk$uc11' ),
inference(resolution,[status(thm)],[d74,d128]) ).
cnf(d130,plain,
( 'sk$uc11' = 'sk$uc1'
| 'sk$uc11' = 'sk$uc1'
| 'sk$uc11' = 'sk$uc11' ),
inference(resolution,[status(thm)],[d129,d121]) ).
cnf(d131,plain,
( identity != 'sk$uc10'
| identity != 'sk$uc10'
| 'sk$uc11' != 'sk$uc11'
| inverse(X1) != 'sk$uc11'
| inverse(identity) != X0
| 'sk$uc10' != 'sk$uc9'
| multiply(X1,'sk$uc10') != 'sk$uc11'
| multiply(X0,'sk$uc9') != 'sk$uc10'
| X0 != 'sk$uc10' ),
inference(superposition,[status(thm)],[c55,d52]) ).
cnf(d132,plain,
( identity != 'sk$uc10'
| inverse(identity) != X1
| inverse(X0) != 'sk$uc11'
| 'sk$uc10' != 'sk$uc9'
| 'sk$uc11' != 'sk$uc11'
| multiply(X1,'sk$uc9') != 'sk$uc10'
| X0 != 'sk$uc11'
| X1 != 'sk$uc10' ),
inference(demodulation,[status(thm)],[d131,d44]) ).
cnf(d133,plain,
( identity != 'sk$uc10'
| inverse(identity) != X0
| inverse(X1) != 'sk$uc11'
| 'sk$uc10' != 'sk$uc9'
| 'sk$uc11' != 'sk$uc11'
| multiply(X0,'sk$uc10') != 'sk$uc10'
| X1 != 'sk$uc11'
| X0 != 'sk$uc10' ),
inference(demodulation,[status(thm)],[d132,d31]) ).
cnf(d134,plain,
( identity != 'sk$uc10'
| inverse(identity) != X0
| inverse(X1) != 'sk$uc11'
| 'sk$uc10' != 'sk$uc9'
| 'sk$uc11' != 'sk$uc11'
| X0 != 'sk$uc10'
| X1 != 'sk$uc11'
| X0 != 'sk$uc10' ),
inference(demodulation,[status(thm)],[d133,d44]) ).
cnf(d135,plain,
( identity != 'sk$uc10'
| inverse(identity) != X0
| inverse(X1) != 'sk$uc11'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc11' != 'sk$uc11'
| X0 != 'sk$uc10'
| X1 != 'sk$uc11'
| X0 != 'sk$uc10' ),
inference(demodulation,[status(thm)],[d134,d31]) ).
cnf(d136,plain,
( identity != 'sk$uc10'
| inverse('sk$uc10') != X0
| inverse(X1) != 'sk$uc11'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc11' != 'sk$uc11'
| X0 != 'sk$uc10'
| X1 != 'sk$uc11'
| X0 != 'sk$uc10' ),
inference(demodulation,[status(thm)],[d135,d32]) ).
cnf(d137,plain,
( identity != 'sk$uc10'
| 'sk$uc10' != X0
| inverse(X1) != 'sk$uc11'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc11' != 'sk$uc11'
| X0 != 'sk$uc10'
| X1 != 'sk$uc11'
| X0 != 'sk$uc10' ),
inference(demodulation,[status(thm)],[d136,d39]) ).
cnf(d138,plain,
( 'sk$uc10' != 'sk$uc10'
| 'sk$uc10' != X0
| inverse(X1) != 'sk$uc11'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc11' != 'sk$uc11'
| X0 != 'sk$uc10'
| X1 != 'sk$uc11'
| X0 != 'sk$uc10' ),
inference(demodulation,[status(thm)],[d137,d32]) ).
cnf(d139,plain,
( 'sk$uc10' != 'sk$uc10'
| 'sk$uc10' != X0
| inverse(X1) != 'sk$uc11'
| 'sk$uc11' != 'sk$uc11'
| X0 != 'sk$uc10'
| X1 != 'sk$uc11'
| X0 != 'sk$uc10' ),
inference(resolution,[status(thm)],[d74,d138]) ).
cnf(d140,plain,
( inverse('sk$uc6') = 'sk$uc11'
| multiply('sk$uc1',multiply('sk$uc11',X0)) = multiply('sk$uc10',X0) ),
inference(superposition,[status(thm)],[c4,c57]) ).
cnf(d141,plain,
( inverse('sk$uc6') = 'sk$uc11'
| multiply('sk$uc11','sk$uc3') = identity ),
inference(superposition,[status(thm)],[c40,c56]) ).
cnf(d142,plain,
( inverse('sk$uc6') = 'sk$uc11'
| inverse('sk$uc6') = 'sk$uc11'
| multiply('sk$uc1',identity) = multiply('sk$uc10','sk$uc3') ),
inference(superposition,[status(thm)],[d141,d140]) ).
cnf(d143,plain,
( inverse('sk$uc6') = 'sk$uc11'
| 'sk$uc1' = multiply('sk$uc10','sk$uc3') ),
inference(demodulation,[status(thm)],[d142,d8]) ).
cnf(d144,plain,
( inverse('sk$uc6') = 'sk$uc11'
| multiply('sk$uc10','sk$uc3') = 'sk$uc1' ),
inference(superposition,[status(thm)],[d143,d4]) ).
cnf(d145,plain,
( inverse('sk$uc6') = 'sk$uc11'
| 'sk$uc3' = 'sk$uc1' ),
inference(demodulation,[status(thm)],[d144,d41]) ).
cnf(d146,plain,
( inverse('sk$uc11') = 'sk$uc11'
| 'sk$uc3' = 'sk$uc1' ),
inference(demodulation,[status(thm)],[d145,d108]) ).
cnf(d147,plain,
( 'sk$uc3' = 'sk$uc1'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc10' != X0
| 'sk$uc11' != 'sk$uc11'
| X0 != 'sk$uc10'
| 'sk$uc11' != 'sk$uc11'
| 'sk$uc11' != 'sk$uc11' ),
inference(superposition,[status(thm)],[d146,d139]) ).
cnf(d148,plain,
( 'sk$uc3' = 'sk$uc1'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc11' != 'sk$uc11'
| 'sk$uc10' != 'sk$uc10' ),
inference(factoring,[status(thm)],[d147]) ).
cnf(d149,plain,
( 'sk$uc3' = 'sk$uc1'
| 'sk$uc11' != 'sk$uc11' ),
inference(resolution,[status(thm)],[d74,d148]) ).
cnf(d150,plain,
X0 = multiply(X0,'sk$uc9'),
inference(demodulation,[status(thm)],[d8,d21]) ).
cnf(d151,plain,
( inverse('sk$uc1') = 'sk$uc11'
| 'sk$uc9' = multiply('sk$uc5','sk$uc10') ),
inference(superposition,[status(thm)],[c11,d4]) ).
cnf(d152,plain,
( 'sk$uc9' = identity
| inverse('sk$uc1') = 'sk$uc11'
| 'sk$uc9' = identity ),
inference(superposition,[status(thm)],[d15,d151]) ).
cnf(d153,plain,
( 'sk$uc9' = identity
| inverse('sk$uc11') = 'sk$uc1' ),
inference(superposition,[status(thm)],[d152,d10]) ).
cnf(d154,plain,
( inverse('sk$uc3') = 'sk$uc11'
| 'sk$uc9' = multiply('sk$uc5','sk$uc10') ),
inference(superposition,[status(thm)],[c38,d4]) ).
cnf(d155,plain,
( 'sk$uc9' = identity
| inverse('sk$uc3') = 'sk$uc11'
| 'sk$uc9' = identity ),
inference(superposition,[status(thm)],[d15,d154]) ).
cnf(d156,plain,
( 'sk$uc9' = identity
| inverse('sk$uc11') = 'sk$uc3' ),
inference(superposition,[status(thm)],[d155,d10]) ).
cnf(d157,plain,
( 'sk$uc9' = identity
| 'sk$uc9' = identity
| 'sk$uc3' = 'sk$uc1' ),
inference(superposition,[status(thm)],[d156,d153]) ).
cnf(d158,plain,
( 'sk$uc3' = 'sk$uc1'
| multiply(X0,'sk$uc9') = X0 ),
inference(superposition,[status(thm)],[d157,d42]) ).
cnf(d159,plain,
( 'sk$uc3' = 'sk$uc1'
| X0 = multiply(X0,'sk$uc9') ),
inference(superposition,[status(thm)],[d158,d4]) ).
cnf(d160,plain,
( 'sk$uc3' = 'sk$uc1'
| X0 = X0 ),
inference(demodulation,[status(thm)],[d159,d150]) ).
cnf(d161,plain,
( 'sk$uc3' = 'sk$uc1'
| 'sk$uc3' = 'sk$uc1' ),
inference(resolution,[status(thm)],[d160,d149]) ).
cnf(d162,plain,
( inverse('sk$uc6') = 'sk$uc11'
| 'sk$uc11' = multiply('sk$uc3','sk$uc10') ),
inference(superposition,[status(thm)],[c49,d4]) ).
cnf(d163,plain,
( inverse('sk$uc6') = 'sk$uc11'
| 'sk$uc11' = 'sk$uc3' ),
inference(demodulation,[status(thm)],[d162,d44]) ).
cnf(d164,plain,
( 'sk$uc11' = 'sk$uc3'
| inverse('sk$uc11') = 'sk$uc6' ),
inference(superposition,[status(thm)],[d163,d10]) ).
cnf(d165,plain,
( inverse('sk$uc11') = 'sk$uc11'
| 'sk$uc11' = 'sk$uc3' ),
inference(demodulation,[status(thm)],[d164,d108]) ).
cnf(d166,plain,
( 'sk$uc11' = 'sk$uc3'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc10' != X0
| 'sk$uc11' != 'sk$uc11'
| X0 != 'sk$uc10'
| 'sk$uc11' != 'sk$uc11'
| 'sk$uc11' != 'sk$uc11' ),
inference(superposition,[status(thm)],[d165,d139]) ).
cnf(d167,plain,
( 'sk$uc10' != 'sk$uc10'
| 'sk$uc11' = 'sk$uc3'
| 'sk$uc11' != 'sk$uc11'
| 'sk$uc10' != 'sk$uc10' ),
inference(factoring,[status(thm)],[d166]) ).
cnf(d168,plain,
( 'sk$uc10' != 'sk$uc10'
| 'sk$uc11' = 'sk$uc1'
| 'sk$uc11' != 'sk$uc11' ),
inference(demodulation,[status(thm)],[d167,d161]) ).
cnf(d169,plain,
( 'sk$uc11' = 'sk$uc1'
| 'sk$uc11' != 'sk$uc11' ),
inference(resolution,[status(thm)],[d74,d168]) ).
cnf(d170,plain,
( 'sk$uc11' = 'sk$uc1'
| 'sk$uc11' != 'sk$uc11' ),
inference(resolution,[status(thm)],[d129,d169]) ).
cnf(d171,plain,
( 'sk$uc11' = 'sk$uc1'
| 'sk$uc11' = 'sk$uc1'
| 'sk$uc11' = 'sk$uc1' ),
inference(resolution,[status(thm)],[d170,d130]) ).
cnf(d172,plain,
( inverse('sk$uc1') = 'sk$uc11'
| 'sk$uc6' = inverse('sk$uc11') ),
inference(superposition,[status(thm)],[c13,d101]) ).
cnf(d173,plain,
( 'sk$uc6' = inverse('sk$uc11')
| 'sk$uc11' = inverse('sk$uc1') ),
inference(superposition,[status(thm)],[d172,d123]) ).
cnf(d174,plain,
( 'sk$uc11' = inverse('sk$uc11')
| 'sk$uc11' = inverse('sk$uc1') ),
inference(demodulation,[status(thm)],[d173,d108]) ).
cnf(d175,plain,
( 'sk$uc11' = inverse('sk$uc11')
| 'sk$uc11' = inverse('sk$uc11') ),
inference(demodulation,[status(thm)],[d174,d171]) ).
cnf(d176,plain,
multiply('sk$uc11',multiply('sk$uc11',X0)) = X0,
inference(superposition,[status(thm)],[d175,d76]) ).
cnf(d177,plain,
multiply(inverse(X0),X0) = 'sk$uc9',
inference(demodulation,[status(thm)],[c56,d21]) ).
cnf(d178,plain,
multiply(inverse(X0),X0) = 'sk$uc10',
inference(demodulation,[status(thm)],[d177,d31]) ).
cnf(d179,plain,
multiply('sk$uc11','sk$uc11') = 'sk$uc10',
inference(superposition,[status(thm)],[d175,d178]) ).
cnf(d180,plain,
multiply('sk$uc11','sk$uc10') = 'sk$uc11',
inference(superposition,[status(thm)],[d179,d176]) ).
cnf(d181,plain,
'sk$uc11' = 'sk$uc11',
inference(demodulation,[status(thm)],[d180,d44]) ).
cnf(d182,plain,
( inverse('sk$uc4') = 'sk$uc11'
| inverse(X0) != 'sk$uc11'
| 'sk$uc10' != 'sk$uc10'
| X0 != 'sk$uc11' ),
inference(resolution,[status(thm)],[d181,d75]) ).
cnf(d183,plain,
( inverse('sk$uc4') = 'sk$uc11'
| multiply('sk$uc10',X0) = multiply(inverse('sk$uc2'),X0) ),
inference(superposition,[status(thm)],[d76,d55]) ).
cnf(d184,plain,
( inverse('sk$uc4') = 'sk$uc11'
| X0 = multiply(inverse('sk$uc2'),X0) ),
inference(demodulation,[status(thm)],[d183,d41]) ).
cnf(d185,plain,
( inverse('sk$uc4') = 'sk$uc11'
| 'sk$uc10' = inverse('sk$uc2') ),
inference(superposition,[status(thm)],[c28,d123]) ).
cnf(d186,plain,
( inverse('sk$uc4') = 'sk$uc11'
| inverse('sk$uc4') = 'sk$uc11'
| X0 = multiply('sk$uc10',X0) ),
inference(superposition,[status(thm)],[d185,d184]) ).
cnf(d187,plain,
( inverse('sk$uc4') = 'sk$uc11'
| X0 = X0 ),
inference(demodulation,[status(thm)],[d186,d41]) ).
cnf(d188,plain,
( inverse('sk$uc4') = 'sk$uc11'
| inverse(X0) != 'sk$uc11'
| X0 != 'sk$uc11'
| inverse('sk$uc4') = 'sk$uc11' ),
inference(resolution,[status(thm)],[d187,d182]) ).
cnf(d189,plain,
( inverse('sk$uc1') = 'sk$uc11'
| inverse('sk$uc11') = 'sk$uc6' ),
inference(superposition,[status(thm)],[c13,d10]) ).
cnf(d190,plain,
( inverse('sk$uc11') = 'sk$uc6'
| inverse('sk$uc11') = 'sk$uc1' ),
inference(superposition,[status(thm)],[d189,d10]) ).
cnf(d191,plain,
( inverse('sk$uc11') = 'sk$uc11'
| inverse('sk$uc11') = 'sk$uc1' ),
inference(demodulation,[status(thm)],[d190,d108]) ).
cnf(d192,plain,
( inverse('sk$uc11') = 'sk$uc11'
| inverse('sk$uc11') = 'sk$uc11' ),
inference(demodulation,[status(thm)],[d191,d171]) ).
cnf(d193,plain,
( inverse('sk$uc4') = 'sk$uc11'
| 'sk$uc11' != 'sk$uc11'
| 'sk$uc11' != 'sk$uc11' ),
inference(superposition,[status(thm)],[d192,d188]) ).
cnf(d194,plain,
inverse('sk$uc4') = 'sk$uc11',
inference(resolution,[status(thm)],[d181,d193]) ).
cnf(d195,plain,
inverse('sk$uc11') = 'sk$uc4',
inference(superposition,[status(thm)],[d194,d10]) ).
cnf(d196,plain,
'sk$uc4' = 'sk$uc11',
inference(demodulation,[status(thm)],[d192,d195]) ).
cnf(d197,plain,
( 'sk$uc10' != 'sk$uc10'
| 'sk$uc11' != 'sk$uc11'
| inverse(X0) != 'sk$uc11'
| X1 != 'sk$uc10'
| X1 != X1
| X0 != 'sk$uc11' ),
inference(superposition,[status(thm)],[d10,d84]) ).
cnf(d198,plain,
( inverse(X0) != 'sk$uc11'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc11' != 'sk$uc11'
| X0 != 'sk$uc11'
| 'sk$uc10' != 'sk$uc10' ),
inference(factoring,[status(thm)],[d197]) ).
cnf(d199,plain,
( inverse(X0) != 'sk$uc11'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc11' != 'sk$uc11'
| X0 != 'sk$uc4' ),
inference(demodulation,[status(thm)],[d198,d196]) ).
cnf(d200,plain,
( inverse(X0) != 'sk$uc11'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc4' != 'sk$uc11'
| X0 != 'sk$uc4' ),
inference(demodulation,[status(thm)],[d199,d196]) ).
cnf(d201,plain,
( inverse(X0) != 'sk$uc11'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc4' != 'sk$uc4'
| X0 != 'sk$uc4' ),
inference(demodulation,[status(thm)],[d200,d196]) ).
cnf(d202,plain,
( inverse(X0) != 'sk$uc4'
| 'sk$uc10' != 'sk$uc10'
| 'sk$uc4' != 'sk$uc4'
| X0 != 'sk$uc4' ),
inference(demodulation,[status(thm)],[d201,d196]) ).
cnf(d203,plain,
X1 = multiply(inverse(X0),multiply(X0,X1)),
inference(superposition,[status(thm)],[d1,d4]) ).
cnf(d204,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c57,d1]) ).
cnf(d205,plain,
multiply(inverse(multiply(X1,X0)),multiply(X1,identity)) = inverse(X0),
inference(superposition,[status(thm)],[d22,d204]) ).
cnf(d206,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,'sk$uc10')) = inverse(X1),
inference(demodulation,[status(thm)],[d205,d32]) ).
cnf(d207,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(demodulation,[status(thm)],[d206,d44]) ).
cnf(d208,plain,
X1 = multiply(X0,multiply(inverse(X0),X1)),
inference(superposition,[status(thm)],[d2,d203]) ).
cnf(d209,plain,
X0 = multiply('sk$uc4',multiply('sk$uc11',X0)),
inference(superposition,[status(thm)],[d194,d208]) ).
cnf(d210,plain,
X0 = multiply('sk$uc4',multiply('sk$uc4',X0)),
inference(demodulation,[status(thm)],[d209,d196]) ).
cnf(d211,plain,
multiply(inverse(X0),'sk$uc4') = inverse(multiply('sk$uc4',X0)),
inference(superposition,[status(thm)],[d210,d207]) ).
cnf(d212,plain,
multiply(inverse(multiply(X2,X0)),multiply(X2,X1)) = multiply(inverse(X0),X1),
inference(superposition,[status(thm)],[d208,d204]) ).
cnf(d213,plain,
multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(multiply(X0,X1),multiply(X2,X3))) = X3,
inference(superposition,[status(thm)],[c57,d204]) ).
cnf(d214,plain,
multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,multiply(X1,multiply(X2,X3)))) = X3,
inference(demodulation,[status(thm)],[d213,c57]) ).
cnf(d215,plain,
multiply(inverse(multiply(X1,multiply('sk$uc4','sk$uc4'))),multiply(X1,X0)) = X0,
inference(superposition,[status(thm)],[d210,d214]) ).
cnf(d216,plain,
multiply(inverse(multiply('sk$uc4','sk$uc4')),X1) = X1,
inference(demodulation,[status(thm)],[d215,d212]) ).
cnf(d217,plain,
multiply(multiply(inverse('sk$uc4'),'sk$uc4'),X0) = X0,
inference(demodulation,[status(thm)],[d216,d211]) ).
cnf(d218,plain,
multiply(inverse('sk$uc4'),multiply('sk$uc4',X0)) = X0,
inference(demodulation,[status(thm)],[d217,c57]) ).
cnf(d219,plain,
X0 = X0,
inference(demodulation,[status(thm)],[d218,d203]) ).
cnf(d220,plain,
( inverse(X0) != 'sk$uc4'
| 'sk$uc10' != 'sk$uc10'
| X0 != 'sk$uc4' ),
inference(resolution,[status(thm)],[d219,d202]) ).
cnf(d221,plain,
'sk$uc11' = inverse('sk$uc4'),
inference(superposition,[status(thm)],[d194,d123]) ).
cnf(d222,plain,
'sk$uc4' = inverse('sk$uc4'),
inference(demodulation,[status(thm)],[d221,d196]) ).
cnf(d223,plain,
( 'sk$uc10' != 'sk$uc10'
| 'sk$uc4' != 'sk$uc4'
| 'sk$uc4' != 'sk$uc4' ),
inference(superposition,[status(thm)],[d222,d220]) ).
cnf(d224,plain,
'sk$uc10' != 'sk$uc10',
inference(resolution,[status(thm)],[d219,d223]) ).
cnf(d225,plain,
$false,
inference(equality_resolution,[status(thm)],[d224]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP244-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.30 % Computer : n012.cluster.edu
% 0.02/0.30 % Model : x86_64 x86_64
% 0.02/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.30 % Memory : 8046.5625MB
% 0.02/0.30 % OS : Linux 6.8.0-71-generic
% 0.02/0.30 % CPULimit : 300
% 0.02/0.30 % WCLimit : 300
% 0.02/0.30 % DateTime : Fri Sep 25 14:40:06 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.30 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 55.79/31.36 % SZS status Unsatisfiable for theBenchmark.p
% 55.79/31.36 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------