%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : RNG008-6 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 08:25:35 AM UTC 2026
% Result : Unsatisfiable 105.65s 18.08s
% Output : CNFRefutation 105.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 22
% Syntax : Number of clauses : 136 ( 70 unt; 0 nHn; 94 RR)
% Number of literals : 269 ( 22 equ; 135 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 319 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(x_times_identity_x_is_identity,axiom,
product(X0,'additive$uidentity','additive$uidentity') ).
cnf(identity_times_x_is_identity,axiom,
product('additive$uidentity',X0,'additive$uidentity') ).
cnf(x_squared_is_x,hypothesis,
product(X0,X0,X0) ).
cnf(a_times_b_is_c,hypothesis,
product(a,b,c) ).
cnf(prove_b_times_a_is_c,negated_conjecture,
~ product(b,a,c) ).
cnf(additive_identity1,axiom,
sum('additive$uidentity',X0,X0) ).
cnf(additive_identity2,axiom,
sum(X0,'additive$uidentity',X0) ).
cnf(closure_of_multiplication,axiom,
product(X0,X1,multiply(X0,X1)) ).
cnf(closure_of_addition,axiom,
sum(X0,X1,add(X0,X1)) ).
cnf(left_inverse,axiom,
sum('additive$uinverse'(X0),X0,'additive$uidentity') ).
cnf(right_inverse,axiom,
sum(X0,'additive$uinverse'(X0),'additive$uidentity') ).
cnf(associativity_of_addition1,axiom,
( sum(X0,X4,X5)
| ~ sum(X2,X3,X5)
| ~ sum(X1,X3,X4)
| ~ sum(X0,X1,X2) ) ).
cnf(associativity_of_addition2,axiom,
( sum(X2,X3,X5)
| ~ sum(X0,X4,X5)
| ~ sum(X1,X3,X4)
| ~ sum(X0,X1,X2) ) ).
cnf(commutativity_of_addition,axiom,
( sum(X1,X0,X2)
| ~ sum(X0,X1,X2) ) ).
cnf(associativity_of_multiplication1,axiom,
( product(X0,X4,X5)
| ~ product(X2,X3,X5)
| ~ product(X1,X3,X4)
| ~ product(X0,X1,X2) ) ).
cnf(associativity_of_multiplication2,axiom,
( product(X2,X3,X5)
| ~ product(X0,X4,X5)
| ~ product(X1,X3,X4)
| ~ product(X0,X1,X2) ) ).
cnf(distributivity1,axiom,
( sum(X2,X4,X6)
| ~ product(X0,X5,X6)
| ~ sum(X1,X3,X5)
| ~ product(X0,X3,X4)
| ~ product(X0,X1,X2) ) ).
cnf(distributivity2,axiom,
( product(X0,X5,X6)
| ~ sum(X2,X4,X6)
| ~ sum(X1,X3,X5)
| ~ product(X0,X3,X4)
| ~ product(X0,X1,X2) ) ).
cnf(distributivity3,axiom,
( sum(X2,X4,X6)
| ~ product(X5,X1,X6)
| ~ sum(X0,X3,X5)
| ~ product(X3,X1,X4)
| ~ product(X0,X1,X2) ) ).
cnf(distributivity4,axiom,
( product(X5,X1,X6)
| ~ sum(X2,X4,X6)
| ~ sum(X0,X3,X5)
| ~ product(X3,X1,X4)
| ~ product(X0,X1,X2) ) ).
cnf(addition_is_well_defined,axiom,
( X2 = X3
| ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2) ) ).
cnf(multiplication_is_well_defined,axiom,
( X2 = X3
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ) ).
cnf(c0,plain,
product(X0,'additive$uidentity','additive$uidentity'),
inference(clausification,[status(esa)],[x_times_identity_x_is_identity]) ).
cnf(c1,plain,
product('additive$uidentity',X0,'additive$uidentity'),
inference(clausification,[status(esa)],[identity_times_x_is_identity]) ).
cnf(c2,plain,
product(X0,X0,X0),
inference(clausification,[status(esa)],[x_squared_is_x]) ).
cnf(c3,plain,
product(a,b,c),
inference(clausification,[status(esa)],[a_times_b_is_c]) ).
cnf(c4,plain,
~ product(b,a,c),
inference(clausification,[status(esa)],[prove_b_times_a_is_c]) ).
cnf(c5,plain,
sum('additive$uidentity',X0,X0),
inference(clausification,[status(esa)],[additive_identity1]) ).
cnf(c6,plain,
sum(X0,'additive$uidentity',X0),
inference(clausification,[status(esa)],[additive_identity2]) ).
cnf(c7,plain,
product(X0,X1,multiply(X0,X1)),
inference(clausification,[status(esa)],[closure_of_multiplication]) ).
cnf(c8,plain,
sum(X0,X1,add(X0,X1)),
inference(clausification,[status(esa)],[closure_of_addition]) ).
cnf(c9,plain,
sum('additive$uinverse'(X0),X0,'additive$uidentity'),
inference(clausification,[status(esa)],[left_inverse]) ).
cnf(c10,plain,
sum(X0,'additive$uinverse'(X0),'additive$uidentity'),
inference(clausification,[status(esa)],[right_inverse]) ).
cnf(c11,plain,
( sum(X3,X5,X2)
| ~ sum(X4,X1,X5)
| ~ sum(X3,X4,X0)
| ~ sum(X0,X1,X2) ),
inference(clausification,[status(esa)],[associativity_of_addition1]) ).
cnf(c12,plain,
( sum(X4,X5,X2)
| ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| ~ sum(X0,X1,X2) ),
inference(clausification,[status(esa)],[associativity_of_addition2]) ).
cnf(c13,plain,
( sum(X1,X0,X2)
| ~ sum(X0,X1,X2) ),
inference(clausification,[status(esa)],[commutativity_of_addition]) ).
cnf(c14,plain,
( product(X3,X5,X2)
| ~ product(X4,X1,X5)
| ~ product(X3,X4,X0)
| ~ product(X0,X1,X2) ),
inference(clausification,[status(esa)],[associativity_of_multiplication1]) ).
cnf(c15,plain,
( product(X4,X5,X2)
| ~ product(X3,X5,X1)
| ~ product(X0,X3,X4)
| ~ product(X0,X1,X2) ),
inference(clausification,[status(esa)],[associativity_of_multiplication2]) ).
cnf(c16,plain,
( ~ product(X3,X6,X2)
| ~ sum(X5,X4,X6)
| ~ product(X3,X5,X0)
| ~ product(X3,X4,X1)
| sum(X0,X1,X2) ),
inference(clausification,[status(esa)],[distributivity1]) ).
cnf(c17,plain,
( ~ sum(X5,X6,X4)
| ~ product(X3,X1,X6)
| ~ product(X3,X0,X5)
| product(X3,X2,X4)
| ~ sum(X0,X1,X2) ),
inference(clausification,[status(esa)],[distributivity2]) ).
cnf(c18,plain,
( ~ product(X5,X1,X6)
| sum(X6,X4,X2)
| ~ sum(X5,X3,X0)
| ~ product(X3,X1,X4)
| ~ product(X0,X1,X2) ),
inference(clausification,[status(esa)],[distributivity3]) ).
cnf(c19,plain,
( ~ sum(X6,X0,X3)
| ~ product(X6,X1,X5)
| ~ sum(X5,X2,X4)
| product(X3,X1,X4)
| ~ product(X0,X1,X2) ),
inference(clausification,[status(esa)],[distributivity4]) ).
cnf(c20,plain,
( X2 = X3
| ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2) ),
inference(clausification,[status(esa)],[addition_is_well_defined]) ).
cnf(c21,plain,
( X2 = X3
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(clausification,[status(esa)],[multiplication_is_well_defined]) ).
cnf(d0,plain,
( ~ sum(X1,'additive$uidentity',X0)
| X0 = X1 ),
inference(resolution,[status(thm)],[c20,c6]) ).
cnf(d1,plain,
( ~ product(X0,X1,X2)
| multiply(X0,X1) = X2 ),
inference(resolution,[status(thm)],[c21,c7]) ).
cnf(d2,plain,
( ~ sum('additive$uidentity',X1,X0)
| X0 = X1 ),
inference(resolution,[status(thm)],[c20,c5]) ).
cnf(d3,plain,
( ~ sum('additive$uidentity',X3,X2)
| ~ sum('additive$uinverse'(X0),X3,X1)
| sum(X0,X1,X2) ),
inference(resolution,[status(thm)],[c11,c10]) ).
cnf(d4,plain,
( ~ sum('additive$uinverse'(X0),X2,X1)
| sum(X0,X1,X2) ),
inference(resolution,[status(thm)],[d3,c5]) ).
cnf(d5,plain,
sum(X0,'additive$uidentity','additive$uinverse'('additive$uinverse'(X0))),
inference(resolution,[status(thm)],[d4,c10]) ).
cnf(d6,plain,
'additive$uinverse'('additive$uinverse'(X0)) = X0,
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
( sum('additive$uinverse'(X0),X2,X1)
| ~ sum(X0,X1,X2) ),
inference(superposition,[status(thm)],[d6,d4]) ).
cnf(d8,plain,
( ~ sum(X1,X5,X3)
| sum(X2,multiply(X0,X5),X4)
| ~ product(X0,X3,X4)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[c16,c7]) ).
cnf(d9,plain,
( ~ sum(X1,X3,'additive$uidentity')
| sum(X2,multiply(X0,X3),'additive$uidentity')
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[d8,c0]) ).
cnf(d10,plain,
( ~ sum(X0,X1,'additive$uidentity')
| sum(X0,multiply(X0,X1),'additive$uidentity') ),
inference(resolution,[status(thm)],[d9,c2]) ).
cnf(d11,plain,
sum('additive$uinverse'(X0),multiply('additive$uinverse'(X0),X0),'additive$uidentity'),
inference(resolution,[status(thm)],[d10,c9]) ).
cnf(d12,plain,
sum(X0,'additive$uidentity',multiply('additive$uinverse'(X0),X0)),
inference(resolution,[status(thm)],[d11,d4]) ).
cnf(d13,plain,
multiply('additive$uinverse'(X0),X0) = X0,
inference(resolution,[status(thm)],[d12,d0]) ).
cnf(d14,plain,
( ~ sum(X3,X0,'additive$uidentity')
| sum(X4,X2,'additive$uidentity')
| ~ product(X3,X1,X4)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[c18,c1]) ).
cnf(d15,plain,
( ~ sum(X3,X0,'additive$uidentity')
| sum(multiply(X3,X1),X2,'additive$uidentity')
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[d14,c7]) ).
cnf(d16,plain,
( sum(multiply(X0,X1),X1,'additive$uidentity')
| ~ sum(X0,X1,'additive$uidentity') ),
inference(resolution,[status(thm)],[d15,c2]) ).
cnf(d17,plain,
sum(multiply('additive$uinverse'(X0),X0),X0,'additive$uidentity'),
inference(resolution,[status(thm)],[d16,c9]) ).
cnf(d18,plain,
sum(X0,X0,'additive$uidentity'),
inference(demodulation,[status(thm)],[d17,d13]) ).
cnf(d19,plain,
sum('additive$uinverse'(X0),'additive$uidentity',X0),
inference(resolution,[status(thm)],[d18,d7]) ).
cnf(d20,plain,
X0 = 'additive$uinverse'(X0),
inference(resolution,[status(thm)],[d19,d0]) ).
cnf(d21,plain,
sum(X0,X1,add(X1,X0)),
inference(resolution,[status(thm)],[c13,c8]) ).
cnf(d22,plain,
( ~ sum(X3,'additive$uinverse'(X1),X0)
| ~ sum(X3,'additive$uidentity',X2)
| sum(X0,X1,X2) ),
inference(resolution,[status(thm)],[c12,c9]) ).
cnf(d23,plain,
( sum(X2,X1,X0)
| ~ sum(X0,'additive$uinverse'(X1),X2) ),
inference(resolution,[status(thm)],[d22,c6]) ).
cnf(d24,plain,
sum(add('additive$uinverse'(X0),X1),X0,X1),
inference(resolution,[status(thm)],[d23,d21]) ).
cnf(d25,plain,
( ~ sum(X3,X0,X1)
| sum(X4,X2,X1)
| ~ product(X3,X1,X4)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[c18,c2]) ).
cnf(d26,plain,
( ~ sum(X3,X0,X1)
| sum(multiply(X3,X1),X2,X1)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[d25,c7]) ).
cnf(d27,plain,
( sum(multiply(X0,X2),multiply(X1,X2),X2)
| ~ sum(X0,X1,X2) ),
inference(resolution,[status(thm)],[d26,c7]) ).
cnf(d28,plain,
sum(multiply(add('additive$uinverse'(X0),X1),X1),multiply(X0,X1),X1),
inference(resolution,[status(thm)],[d27,d24]) ).
cnf(d29,plain,
sum(multiply(add(X0,X1),X1),multiply(X0,X1),X1),
inference(demodulation,[status(thm)],[d28,d20]) ).
cnf(d30,plain,
( ~ product(X2,X3,X1)
| ~ product(X0,X2,'additive$uidentity')
| product(X0,X1,'additive$uidentity') ),
inference(resolution,[status(thm)],[c14,c1]) ).
cnf(d31,plain,
( product(X0,c,'additive$uidentity')
| ~ product(X0,a,'additive$uidentity') ),
inference(resolution,[status(thm)],[d30,c3]) ).
cnf(d32,plain,
( ~ product('additive$uidentity',X1,X0)
| 'additive$uidentity' = X0 ),
inference(resolution,[status(thm)],[c21,c1]) ).
cnf(d33,plain,
( ~ product(X3,X1,X2)
| ~ product(X2,X3,X0)
| product(X0,X1,X2) ),
inference(resolution,[status(thm)],[c15,c2]) ).
cnf(d34,plain,
( product(X2,X1,multiply(X0,X1))
| ~ product(multiply(X0,X1),X0,X2) ),
inference(resolution,[status(thm)],[d33,c7]) ).
cnf(d35,plain,
( ~ product(X1,'additive$uidentity',X0)
| 'additive$uidentity' = X0 ),
inference(resolution,[status(thm)],[c21,c0]) ).
cnf(d36,plain,
'additive$uidentity' = multiply(X0,'additive$uidentity'),
inference(resolution,[status(thm)],[d35,c7]) ).
cnf(d37,plain,
( ~ product(X4,X1,X3)
| ~ product(X2,X4,X0)
| product(X0,X1,multiply(X2,X3)) ),
inference(resolution,[status(thm)],[c15,c7]) ).
cnf(d38,plain,
( ~ sum(X3,X5,X1)
| ~ sum(X4,multiply(X0,X5),X2)
| ~ product(X0,X3,X4)
| product(X0,X1,X2) ),
inference(resolution,[status(thm)],[c17,c7]) ).
cnf(d39,plain,
( ~ sum(b,X2,X0)
| ~ sum(c,multiply(a,X2),X1)
| product(a,X0,X1) ),
inference(resolution,[status(thm)],[d38,c3]) ).
cnf(d40,plain,
( ~ sum(c,multiply(a,X0),X1)
| product(a,add(b,X0),X1) ),
inference(resolution,[status(thm)],[d39,c8]) ).
cnf(d41,plain,
( ~ product(X2,b,X1)
| ~ product(X0,X2,a)
| product(X0,X1,c) ),
inference(resolution,[status(thm)],[c14,c3]) ).
cnf(d42,plain,
( product(X0,c,c)
| ~ product(X0,a,a) ),
inference(resolution,[status(thm)],[d41,c3]) ).
cnf(d43,plain,
product(a,c,c),
inference(resolution,[status(thm)],[d42,c2]) ).
cnf(d44,plain,
( ~ sum(c,X0,'additive$uidentity')
| sum(c,multiply(a,X0),'additive$uidentity') ),
inference(resolution,[status(thm)],[d9,d43]) ).
cnf(d45,plain,
sum(c,multiply(a,'additive$uinverse'(c)),'additive$uidentity'),
inference(resolution,[status(thm)],[d44,c10]) ).
cnf(d46,plain,
product(a,add(b,'additive$uinverse'(c)),'additive$uidentity'),
inference(resolution,[status(thm)],[d45,d40]) ).
cnf(d47,plain,
( product(X1,add(b,'additive$uinverse'(c)),multiply(X0,'additive$uidentity'))
| ~ product(X0,a,X1) ),
inference(resolution,[status(thm)],[d46,d37]) ).
cnf(d48,plain,
( ~ product(X1,a,X0)
| product(X0,add(b,c),multiply(X1,'additive$uidentity')) ),
inference(demodulation,[status(thm)],[d47,d20]) ).
cnf(d49,plain,
( ~ product(X0,a,X1)
| product(X1,add(b,c),'additive$uidentity') ),
inference(demodulation,[status(thm)],[d48,d36]) ).
cnf(d50,plain,
product(multiply(X0,a),add(b,c),'additive$uidentity'),
inference(resolution,[status(thm)],[d49,c7]) ).
cnf(d51,plain,
product('additive$uidentity',a,multiply(add(b,c),a)),
inference(resolution,[status(thm)],[d50,d34]) ).
cnf(d52,plain,
'additive$uidentity' = multiply(add(b,c),a),
inference(resolution,[status(thm)],[d51,d32]) ).
cnf(d53,plain,
product(add(b,c),a,'additive$uidentity'),
inference(superposition,[status(thm)],[d52,c7]) ).
cnf(d54,plain,
product(add(b,c),c,'additive$uidentity'),
inference(resolution,[status(thm)],[d53,d31]) ).
cnf(d55,plain,
multiply(add(b,c),c) = 'additive$uidentity',
inference(resolution,[status(thm)],[d54,d1]) ).
cnf(d56,plain,
sum('additive$uidentity',multiply(b,c),c),
inference(superposition,[status(thm)],[d55,d29]) ).
cnf(d57,plain,
c = multiply(b,c),
inference(resolution,[status(thm)],[d56,d2]) ).
cnf(d58,plain,
( product(X1,b,multiply(X0,c))
| ~ product(X0,a,X1) ),
inference(resolution,[status(thm)],[d37,c3]) ).
cnf(d59,plain,
product(multiply(X0,a),b,multiply(X0,c)),
inference(resolution,[status(thm)],[d58,c7]) ).
cnf(d60,plain,
product(multiply(b,c),a,multiply(b,a)),
inference(resolution,[status(thm)],[d59,d34]) ).
cnf(d61,plain,
product(c,a,multiply(b,a)),
inference(demodulation,[status(thm)],[d60,d57]) ).
cnf(d62,plain,
multiply(c,a) = multiply(b,a),
inference(resolution,[status(thm)],[d61,d1]) ).
cnf(d63,plain,
sum(X0,add(X1,'additive$uinverse'(X0)),X1),
inference(resolution,[status(thm)],[d4,d21]) ).
cnf(d64,plain,
( ~ sum(X1,X3,X4)
| sum(X2,multiply(X0,X3),multiply(X0,X4))
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[d8,c7]) ).
cnf(d65,plain,
( ~ sum(X0,X1,X2)
| sum(X0,multiply(X0,X1),multiply(X0,X2)) ),
inference(resolution,[status(thm)],[d64,c2]) ).
cnf(d66,plain,
sum(X0,multiply(X0,add(X1,'additive$uinverse'(X0))),multiply(X0,X1)),
inference(resolution,[status(thm)],[d65,d63]) ).
cnf(d67,plain,
sum(X0,multiply(X0,add(X1,X0)),multiply(X0,X1)),
inference(demodulation,[status(thm)],[d66,d20]) ).
cnf(d68,plain,
( ~ product(X3,X2,X1)
| ~ product(X0,X3,X2)
| product(X0,X1,X2) ),
inference(resolution,[status(thm)],[c14,c2]) ).
cnf(d69,plain,
( product(X0,multiply(X1,X2),X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[d68,c7]) ).
cnf(d70,plain,
product(X0,multiply(X1,multiply(X0,X1)),multiply(X0,X1)),
inference(resolution,[status(thm)],[d69,c7]) ).
cnf(d71,plain,
( product(X0,multiply(X1,X2),'additive$uidentity')
| ~ product(X0,X1,'additive$uidentity') ),
inference(resolution,[status(thm)],[d30,c7]) ).
cnf(d72,plain,
( ~ sum(X2,X1,X0)
| X0 = add(X1,X2) ),
inference(resolution,[status(thm)],[c20,d21]) ).
cnf(d73,plain,
add(X0,X1) = add(X1,X0),
inference(resolution,[status(thm)],[d72,c8]) ).
cnf(d74,plain,
( ~ sum(X3,X5,X0)
| ~ sum(X4,multiply(X5,X1),X2)
| ~ product(X3,X1,X4)
| product(X0,X1,X2) ),
inference(resolution,[status(thm)],[c19,c7]) ).
cnf(d75,plain,
( ~ sum(X1,X3,X0)
| ~ sum(X1,multiply(X3,X1),X2)
| product(X0,X1,X2) ),
inference(resolution,[status(thm)],[d74,c2]) ).
cnf(d76,plain,
( ~ sum(X0,multiply(X1,X0),X2)
| product(add(X0,X1),X0,X2) ),
inference(resolution,[status(thm)],[d75,c8]) ).
cnf(d77,plain,
( sum(multiply(X0,c),c,'additive$uidentity')
| ~ sum(X0,a,'additive$uidentity') ),
inference(resolution,[status(thm)],[d15,d43]) ).
cnf(d78,plain,
sum(multiply('additive$uinverse'(a),c),c,'additive$uidentity'),
inference(resolution,[status(thm)],[d77,c9]) ).
cnf(d79,plain,
sum(c,multiply('additive$uinverse'(a),c),'additive$uidentity'),
inference(resolution,[status(thm)],[d78,c13]) ).
cnf(d80,plain,
product(add(c,'additive$uinverse'(a)),c,'additive$uidentity'),
inference(resolution,[status(thm)],[d79,d76]) ).
cnf(d81,plain,
product(add(c,a),c,'additive$uidentity'),
inference(demodulation,[status(thm)],[d80,d20]) ).
cnf(d82,plain,
product(add(a,c),c,'additive$uidentity'),
inference(demodulation,[status(thm)],[d81,d73]) ).
cnf(d83,plain,
product(add(a,c),multiply(c,X0),'additive$uidentity'),
inference(resolution,[status(thm)],[d82,d71]) ).
cnf(d84,plain,
multiply(add(a,c),multiply(c,X0)) = 'additive$uidentity',
inference(resolution,[status(thm)],[d83,d1]) ).
cnf(d85,plain,
product(c,'additive$uidentity',multiply(c,add(a,c))),
inference(superposition,[status(thm)],[d84,d70]) ).
cnf(d86,plain,
'additive$uidentity' = multiply(c,add(a,c)),
inference(resolution,[status(thm)],[d85,d35]) ).
cnf(d87,plain,
sum(c,'additive$uidentity',multiply(c,a)),
inference(superposition,[status(thm)],[d86,d67]) ).
cnf(d88,plain,
sum(c,'additive$uidentity',multiply(b,a)),
inference(demodulation,[status(thm)],[d87,d62]) ).
cnf(d89,plain,
multiply(b,a) = c,
inference(resolution,[status(thm)],[d88,d0]) ).
cnf(d90,plain,
product(b,a,c),
inference(superposition,[status(thm)],[d89,c7]) ).
cnf(d91,plain,
$false,
inference(resolution,[status(thm)],[c4,d90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG008-6 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n020.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 05:46:03 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 105.65/18.08 % SZS status Unsatisfiable for theBenchmark.p
% 105.65/18.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------