%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : BOO015-2 : TPTP v9.3.1. Bugfixed v1.0.1.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /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 : Tue Sep 29 09:35:25 AM UTC 2026
% Result : Unsatisfiable 0.86s 0.36s
% Output : CNFRefutation 2.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 15
% Syntax : Number of clauses : 297 ( 297 unt; 0 nHn; 125 RR)
% Number of literals : 297 ( 296 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 261 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
inverse(c) != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_inverse_is_d) ).
cnf(c2,axiom,
add(X,additive_identity) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_id1) ).
cnf(c3,plain,
add(inverse(c),additive_identity) = inverse(c),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
inverse(c) = add(inverse(c),additive_identity),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,axiom,
add(inverse(a),inverse(b)) = d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c6,plain,
d = add(inverse(a),inverse(b)),
inference(symmetry,[status(thm)],[c5]) ).
cnf(c7,plain,
multiply(c,d) = multiply(c,add(inverse(a),inverse(b))),
inference(congruence,[status(thm)],[c6]) ).
cnf(c8,axiom,
add(X2,Y) = add(Y,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_add) ).
cnf(c9,plain,
add(inverse(b),X2) = add(X2,inverse(b)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c10,plain,
add(X2,inverse(b)) = add(inverse(b),X2),
inference(symmetry,[status(thm)],[c9]) ).
cnf(c11,plain,
multiply(c,add(X2,inverse(b))) = multiply(c,add(inverse(b),X2)),
inference(congruence,[status(thm)],[c10]) ).
cnf(c12,axiom,
multiply(X2,add(Y2,Z)) = add(multiply(X2,Y2),multiply(X2,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity4) ).
cnf(c13,plain,
multiply(c,add(inverse(b),X2)) = add(multiply(c,inverse(b)),multiply(c,X2)),
inference(substitution,[status(thm)],[c12]) ).
cnf(c14,axiom,
multiply(X2,Y2) = multiply(Y2,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_multiply) ).
cnf(c15,plain,
multiply(add(X2,X3),inverse(X2)) = multiply(inverse(X2),add(X2,X3)),
inference(substitution,[status(thm)],[c14]) ).
cnf(c16,plain,
multiply(inverse(X3),add(X3,X2)) = multiply(add(X3,X2),inverse(X3)),
inference(symmetry,[status(thm)],[c15]) ).
cnf(c17,axiom,
multiply(add(X2,Y2),Z2) = add(multiply(X2,Z2),multiply(Y2,Z2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity3) ).
cnf(c18,plain,
multiply(add(X3,X2),inverse(X3)) = add(multiply(X3,inverse(X3)),multiply(X2,inverse(X3))),
inference(substitution,[status(thm)],[c17]) ).
cnf(c19,axiom,
multiply(X2,inverse(X2)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c20,plain,
add(multiply(X3,inverse(X3)),multiply(X2,inverse(X3))) = add(additive_identity,multiply(X2,inverse(X3))),
inference(congruence,[status(thm)],[c19]) ).
cnf(c21,axiom,
add(additive_identity,X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_id2) ).
cnf(c22,plain,
add(additive_identity,multiply(X2,inverse(X3))) = multiply(X2,inverse(X3)),
inference(substitution,[status(thm)],[c21]) ).
cnf(c23,plain,
add(multiply(X3,inverse(X3)),multiply(X2,inverse(X3))) = multiply(X2,inverse(X3)),
inference(transitivity,[status(thm)],[c20,c22]) ).
cnf(c24,plain,
multiply(add(X3,X2),inverse(X3)) = multiply(X2,inverse(X3)),
inference(transitivity,[status(thm)],[c18,c23]) ).
cnf(c25,plain,
multiply(inverse(X3),add(X3,X2)) = multiply(X2,inverse(X3)),
inference(transitivity,[status(thm)],[c16,c24]) ).
cnf(c26,plain,
multiply(inverse(b),add(b,c)) = multiply(c,inverse(b)),
inference(substitution,[status(thm)],[c25]) ).
cnf(c27,plain,
multiply(c,inverse(b)) = multiply(inverse(b),add(b,c)),
inference(symmetry,[status(thm)],[c26]) ).
cnf(c28,plain,
X2 = add(X2,additive_identity),
inference(symmetry,[status(thm)],[c2]) ).
cnf(c29,plain,
multiply(X3,add(X3,X2)) = multiply(add(X3,additive_identity),add(X3,X2)),
inference(congruence,[status(thm)],[c28]) ).
cnf(c30,axiom,
add(X2,multiply(Y2,Z2)) = multiply(add(X2,Y2),add(X2,Z2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity2) ).
cnf(c31,plain,
add(X3,multiply(additive_identity,X2)) = multiply(add(X3,additive_identity),add(X3,X2)),
inference(substitution,[status(thm)],[c30]) ).
cnf(c32,plain,
multiply(add(X3,additive_identity),add(X3,X2)) = add(X3,multiply(additive_identity,X2)),
inference(symmetry,[status(thm)],[c31]) ).
cnf(c33,plain,
multiply(additive_identity,X2) = multiply(X2,additive_identity),
inference(substitution,[status(thm)],[c14]) ).
cnf(c34,plain,
add(X3,multiply(additive_identity,X2)) = add(X3,multiply(X2,additive_identity)),
inference(congruence,[status(thm)],[c33]) ).
cnf(c35,plain,
multiply(add(X3,additive_identity),add(X3,X2)) = add(X3,multiply(X2,additive_identity)),
inference(transitivity,[status(thm)],[c32,c34]) ).
cnf(c36,plain,
multiply(X3,add(X3,X2)) = add(X3,multiply(X2,additive_identity)),
inference(transitivity,[status(thm)],[c29,c35]) ).
cnf(c37,plain,
multiply(b,add(b,a)) = add(b,multiply(a,additive_identity)),
inference(substitution,[status(thm)],[c36]) ).
cnf(c38,plain,
add(b,multiply(a,additive_identity)) = multiply(b,add(b,a)),
inference(symmetry,[status(thm)],[c37]) ).
cnf(c39,plain,
add(a,X2) = add(X2,a),
inference(substitution,[status(thm)],[c8]) ).
cnf(c40,plain,
add(X2,a) = add(a,X2),
inference(symmetry,[status(thm)],[c39]) ).
cnf(c41,plain,
multiply(b,add(X2,a)) = multiply(b,add(a,X2)),
inference(congruence,[status(thm)],[c40]) ).
cnf(c42,plain,
multiply(add(a,X2),b) = multiply(b,add(a,X2)),
inference(substitution,[status(thm)],[c14]) ).
cnf(c43,plain,
multiply(b,add(a,X2)) = multiply(add(a,X2),b),
inference(symmetry,[status(thm)],[c42]) ).
cnf(c44,plain,
multiply(add(a,X2),b) = add(multiply(a,b),multiply(X2,b)),
inference(substitution,[status(thm)],[c17]) ).
cnf(c45,axiom,
multiply(a,b) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c46,plain,
add(multiply(a,b),multiply(X2,b)) = add(c,multiply(X2,b)),
inference(congruence,[status(thm)],[c45]) ).
cnf(c47,plain,
multiply(add(a,X2),b) = add(c,multiply(X2,b)),
inference(transitivity,[status(thm)],[c44,c46]) ).
cnf(c48,plain,
multiply(b,add(a,X2)) = add(c,multiply(X2,b)),
inference(transitivity,[status(thm)],[c43,c47]) ).
cnf(c49,plain,
multiply(b,add(X2,a)) = add(c,multiply(X2,b)),
inference(transitivity,[status(thm)],[c41,c48]) ).
cnf(c50,plain,
multiply(b,add(b,a)) = add(c,multiply(b,b)),
inference(substitution,[status(thm)],[c49]) ).
cnf(c51,plain,
add(additive_identity,multiply(X2,X2)) = multiply(X2,X2),
inference(substitution,[status(thm)],[c21]) ).
cnf(c52,plain,
multiply(X2,X2) = add(additive_identity,multiply(X2,X2)),
inference(symmetry,[status(thm)],[c51]) ).
cnf(c53,plain,
add(multiply(X2,X2),X3) = add(X3,multiply(X2,X2)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c54,plain,
add(X3,multiply(X2,X2)) = add(multiply(X2,X2),X3),
inference(symmetry,[status(thm)],[c53]) ).
cnf(c55,axiom,
add(multiply(X2,Y2),Z2) = multiply(add(X2,Z2),add(Y2,Z2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
cnf(c56,plain,
add(multiply(X2,X2),X3) = multiply(add(X2,X3),add(X2,X3)),
inference(substitution,[status(thm)],[c55]) ).
cnf(c57,plain,
add(X2,multiply(X3,X3)) = multiply(add(X2,X3),add(X2,X3)),
inference(substitution,[status(thm)],[c30]) ).
cnf(c58,plain,
multiply(add(X2,X3),add(X2,X3)) = add(X2,multiply(X3,X3)),
inference(symmetry,[status(thm)],[c57]) ).
cnf(c59,plain,
add(multiply(X2,X2),X3) = add(X2,multiply(X3,X3)),
inference(transitivity,[status(thm)],[c56,c58]) ).
cnf(c60,plain,
add(X3,multiply(X2,X2)) = add(X2,multiply(X3,X3)),
inference(transitivity,[status(thm)],[c54,c59]) ).
cnf(c61,plain,
add(X2,multiply(additive_identity,additive_identity)) = add(additive_identity,multiply(X2,X2)),
inference(substitution,[status(thm)],[c60]) ).
cnf(c62,plain,
add(additive_identity,multiply(X2,X2)) = add(X2,multiply(additive_identity,additive_identity)),
inference(symmetry,[status(thm)],[c61]) ).
cnf(c63,plain,
add(additive_identity,multiply(additive_identity,additive_identity)) = multiply(additive_identity,additive_identity),
inference(substitution,[status(thm)],[c21]) ).
cnf(c64,plain,
multiply(additive_identity,additive_identity) = add(additive_identity,multiply(additive_identity,additive_identity)),
inference(symmetry,[status(thm)],[c63]) ).
cnf(c65,plain,
add(multiplicative_identity,X2) = add(X2,multiplicative_identity),
inference(substitution,[status(thm)],[c8]) ).
cnf(c66,plain,
add(X2,multiplicative_identity) = add(multiplicative_identity,X2),
inference(symmetry,[status(thm)],[c65]) ).
cnf(c67,plain,
multiply(X3,add(X2,multiplicative_identity)) = multiply(X3,add(multiplicative_identity,X2)),
inference(congruence,[status(thm)],[c66]) ).
cnf(c68,plain,
multiply(X3,add(multiplicative_identity,X2)) = add(multiply(X3,multiplicative_identity),multiply(X3,X2)),
inference(substitution,[status(thm)],[c12]) ).
cnf(c69,axiom,
multiply(X2,multiplicative_identity) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c70,plain,
add(multiply(X3,multiplicative_identity),multiply(X3,X2)) = add(X3,multiply(X3,X2)),
inference(congruence,[status(thm)],[c69]) ).
cnf(c71,plain,
multiply(X3,add(multiplicative_identity,X2)) = add(X3,multiply(X3,X2)),
inference(transitivity,[status(thm)],[c68,c70]) ).
cnf(c72,plain,
multiply(X3,add(X2,multiplicative_identity)) = add(X3,multiply(X3,X2)),
inference(transitivity,[status(thm)],[c67,c71]) ).
cnf(c73,plain,
multiply(X2,add(additive_identity,multiplicative_identity)) = add(X2,multiply(X2,additive_identity)),
inference(substitution,[status(thm)],[c72]) ).
cnf(c74,plain,
add(X2,multiply(X2,additive_identity)) = multiply(X2,add(additive_identity,multiplicative_identity)),
inference(symmetry,[status(thm)],[c73]) ).
cnf(c75,plain,
add(additive_identity,multiplicative_identity) = multiplicative_identity,
inference(substitution,[status(thm)],[c21]) ).
cnf(c76,plain,
multiply(X2,add(additive_identity,multiplicative_identity)) = multiply(X2,multiplicative_identity),
inference(congruence,[status(thm)],[c75]) ).
cnf(c77,plain,
multiply(X2,add(additive_identity,multiplicative_identity)) = X2,
inference(transitivity,[status(thm)],[c76,c69]) ).
cnf(c78,plain,
add(X2,multiply(X2,additive_identity)) = X2,
inference(transitivity,[status(thm)],[c74,c77]) ).
cnf(c79,plain,
add(additive_identity,multiply(additive_identity,additive_identity)) = additive_identity,
inference(substitution,[status(thm)],[c78]) ).
cnf(c80,plain,
multiply(additive_identity,additive_identity) = additive_identity,
inference(transitivity,[status(thm)],[c64,c79]) ).
cnf(c81,plain,
add(X2,multiply(additive_identity,additive_identity)) = add(X2,additive_identity),
inference(congruence,[status(thm)],[c80]) ).
cnf(c82,plain,
add(X2,multiply(additive_identity,additive_identity)) = X2,
inference(transitivity,[status(thm)],[c81,c2]) ).
cnf(c83,plain,
add(additive_identity,multiply(X2,X2)) = X2,
inference(transitivity,[status(thm)],[c62,c82]) ).
cnf(c84,plain,
multiply(X2,X2) = X2,
inference(transitivity,[status(thm)],[c52,c83]) ).
cnf(c85,plain,
multiply(b,b) = b,
inference(substitution,[status(thm)],[c84]) ).
cnf(c86,plain,
add(c,multiply(b,b)) = add(c,b),
inference(congruence,[status(thm)],[c85]) ).
cnf(c87,plain,
add(c,b) = add(b,c),
inference(substitution,[status(thm)],[c8]) ).
cnf(c88,plain,
add(c,multiply(b,b)) = add(b,c),
inference(transitivity,[status(thm)],[c86,c87]) ).
cnf(c89,plain,
multiply(b,add(b,a)) = add(b,c),
inference(transitivity,[status(thm)],[c50,c88]) ).
cnf(c90,plain,
add(b,multiply(a,additive_identity)) = add(b,c),
inference(transitivity,[status(thm)],[c38,c89]) ).
cnf(c91,plain,
add(b,c) = add(b,multiply(a,additive_identity)),
inference(symmetry,[status(thm)],[c90]) ).
cnf(c92,plain,
multiply(inverse(b),add(b,c)) = multiply(inverse(b),add(b,multiply(a,additive_identity))),
inference(congruence,[status(thm)],[c91]) ).
cnf(c93,plain,
multiply(inverse(b),add(b,multiply(a,additive_identity))) = multiply(multiply(a,additive_identity),inverse(b)),
inference(substitution,[status(thm)],[c25]) ).
cnf(c94,plain,
add(inverse(X3),X2) = add(X2,inverse(X3)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c95,plain,
add(X2,inverse(X3)) = add(inverse(X3),X2),
inference(symmetry,[status(thm)],[c94]) ).
cnf(c96,plain,
multiply(X3,add(X2,inverse(X3))) = multiply(X3,add(inverse(X3),X2)),
inference(congruence,[status(thm)],[c95]) ).
cnf(c97,plain,
multiply(X3,add(inverse(X3),X2)) = add(multiply(X3,inverse(X3)),multiply(X3,X2)),
inference(substitution,[status(thm)],[c12]) ).
cnf(c98,plain,
add(multiply(X3,inverse(X3)),multiply(X3,X2)) = add(additive_identity,multiply(X3,X2)),
inference(congruence,[status(thm)],[c19]) ).
cnf(c99,plain,
add(additive_identity,multiply(X3,X2)) = multiply(X3,X2),
inference(substitution,[status(thm)],[c21]) ).
cnf(c100,plain,
add(multiply(X3,inverse(X3)),multiply(X3,X2)) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c98,c99]) ).
cnf(c101,plain,
multiply(X3,add(inverse(X3),X2)) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c97,c100]) ).
cnf(c102,plain,
multiply(X3,add(X2,inverse(X3))) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c96,c101]) ).
cnf(c103,plain,
multiply(X2,add(additive_identity,inverse(X2))) = multiply(X2,additive_identity),
inference(substitution,[status(thm)],[c102]) ).
cnf(c104,plain,
multiply(X2,additive_identity) = multiply(X2,add(additive_identity,inverse(X2))),
inference(symmetry,[status(thm)],[c103]) ).
cnf(c105,plain,
add(additive_identity,inverse(X2)) = inverse(X2),
inference(substitution,[status(thm)],[c21]) ).
cnf(c106,plain,
multiply(X2,add(additive_identity,inverse(X2))) = multiply(X2,inverse(X2)),
inference(congruence,[status(thm)],[c105]) ).
cnf(c107,plain,
multiply(X2,add(additive_identity,inverse(X2))) = additive_identity,
inference(transitivity,[status(thm)],[c106,c19]) ).
cnf(c108,plain,
multiply(X2,additive_identity) = additive_identity,
inference(transitivity,[status(thm)],[c104,c107]) ).
cnf(c109,plain,
multiply(a,additive_identity) = additive_identity,
inference(substitution,[status(thm)],[c108]) ).
cnf(c110,plain,
multiply(multiply(a,additive_identity),inverse(b)) = multiply(additive_identity,inverse(b)),
inference(congruence,[status(thm)],[c109]) ).
cnf(c111,plain,
multiply(X2,additive_identity) = multiply(additive_identity,X2),
inference(substitution,[status(thm)],[c14]) ).
cnf(c112,plain,
multiply(additive_identity,X2) = multiply(X2,additive_identity),
inference(symmetry,[status(thm)],[c111]) ).
cnf(c113,plain,
multiply(additive_identity,X2) = additive_identity,
inference(transitivity,[status(thm)],[c112,c108]) ).
cnf(c114,plain,
multiply(additive_identity,inverse(b)) = additive_identity,
inference(substitution,[status(thm)],[c113]) ).
cnf(c115,plain,
multiply(multiply(a,additive_identity),inverse(b)) = additive_identity,
inference(transitivity,[status(thm)],[c110,c114]) ).
cnf(c116,plain,
multiply(inverse(b),add(b,multiply(a,additive_identity))) = additive_identity,
inference(transitivity,[status(thm)],[c93,c115]) ).
cnf(c117,plain,
multiply(inverse(b),add(b,c)) = additive_identity,
inference(transitivity,[status(thm)],[c92,c116]) ).
cnf(c118,plain,
multiply(c,inverse(b)) = additive_identity,
inference(transitivity,[status(thm)],[c27,c117]) ).
cnf(c119,plain,
add(multiply(c,inverse(b)),multiply(c,X2)) = add(additive_identity,multiply(c,X2)),
inference(congruence,[status(thm)],[c118]) ).
cnf(c120,plain,
add(additive_identity,multiply(c,X2)) = multiply(c,X2),
inference(substitution,[status(thm)],[c21]) ).
cnf(c121,plain,
multiply(c,X2) = multiply(X2,c),
inference(substitution,[status(thm)],[c14]) ).
cnf(c122,plain,
add(additive_identity,multiply(c,X2)) = multiply(X2,c),
inference(transitivity,[status(thm)],[c120,c121]) ).
cnf(c123,plain,
add(multiply(c,inverse(b)),multiply(c,X2)) = multiply(X2,c),
inference(transitivity,[status(thm)],[c119,c122]) ).
cnf(c124,plain,
multiply(c,add(inverse(b),X2)) = multiply(X2,c),
inference(transitivity,[status(thm)],[c13,c123]) ).
cnf(c125,plain,
multiply(c,add(X2,inverse(b))) = multiply(X2,c),
inference(transitivity,[status(thm)],[c11,c124]) ).
cnf(c126,plain,
multiply(c,add(inverse(a),inverse(b))) = multiply(inverse(a),c),
inference(substitution,[status(thm)],[c125]) ).
cnf(c127,plain,
multiply(inverse(a),c) = multiply(c,inverse(a)),
inference(substitution,[status(thm)],[c14]) ).
cnf(c128,plain,
multiply(inverse(a),add(a,c)) = multiply(c,inverse(a)),
inference(substitution,[status(thm)],[c25]) ).
cnf(c129,plain,
multiply(c,inverse(a)) = multiply(inverse(a),add(a,c)),
inference(symmetry,[status(thm)],[c128]) ).
cnf(c130,plain,
multiply(a,add(a,b)) = add(a,multiply(b,additive_identity)),
inference(substitution,[status(thm)],[c36]) ).
cnf(c131,plain,
add(a,multiply(b,additive_identity)) = multiply(a,add(a,b)),
inference(symmetry,[status(thm)],[c130]) ).
cnf(c132,plain,
add(b,X2) = add(X2,b),
inference(substitution,[status(thm)],[c8]) ).
cnf(c133,plain,
add(X2,b) = add(b,X2),
inference(symmetry,[status(thm)],[c132]) ).
cnf(c134,plain,
multiply(a,add(X2,b)) = multiply(a,add(b,X2)),
inference(congruence,[status(thm)],[c133]) ).
cnf(c135,plain,
multiply(a,add(b,X2)) = add(multiply(a,b),multiply(a,X2)),
inference(substitution,[status(thm)],[c12]) ).
cnf(c136,plain,
add(multiply(a,b),multiply(a,X2)) = add(c,multiply(a,X2)),
inference(congruence,[status(thm)],[c45]) ).
cnf(c137,plain,
multiply(a,X2) = multiply(X2,a),
inference(substitution,[status(thm)],[c14]) ).
cnf(c138,plain,
add(c,multiply(a,X2)) = add(c,multiply(X2,a)),
inference(congruence,[status(thm)],[c137]) ).
cnf(c139,plain,
add(multiply(a,b),multiply(a,X2)) = add(c,multiply(X2,a)),
inference(transitivity,[status(thm)],[c136,c138]) ).
cnf(c140,plain,
multiply(a,add(b,X2)) = add(c,multiply(X2,a)),
inference(transitivity,[status(thm)],[c135,c139]) ).
cnf(c141,plain,
multiply(a,add(X2,b)) = add(c,multiply(X2,a)),
inference(transitivity,[status(thm)],[c134,c140]) ).
cnf(c142,plain,
multiply(a,add(a,b)) = add(c,multiply(a,a)),
inference(substitution,[status(thm)],[c141]) ).
cnf(c143,plain,
multiply(a,a) = a,
inference(substitution,[status(thm)],[c84]) ).
cnf(c144,plain,
add(c,multiply(a,a)) = add(c,a),
inference(congruence,[status(thm)],[c143]) ).
cnf(c145,plain,
add(c,a) = add(a,c),
inference(substitution,[status(thm)],[c8]) ).
cnf(c146,plain,
add(c,multiply(a,a)) = add(a,c),
inference(transitivity,[status(thm)],[c144,c145]) ).
cnf(c147,plain,
multiply(a,add(a,b)) = add(a,c),
inference(transitivity,[status(thm)],[c142,c146]) ).
cnf(c148,plain,
add(a,multiply(b,additive_identity)) = add(a,c),
inference(transitivity,[status(thm)],[c131,c147]) ).
cnf(c149,plain,
add(a,c) = add(a,multiply(b,additive_identity)),
inference(symmetry,[status(thm)],[c148]) ).
cnf(c150,plain,
multiply(inverse(a),add(a,c)) = multiply(inverse(a),add(a,multiply(b,additive_identity))),
inference(congruence,[status(thm)],[c149]) ).
cnf(c151,plain,
multiply(inverse(a),add(a,multiply(b,additive_identity))) = multiply(multiply(b,additive_identity),inverse(a)),
inference(substitution,[status(thm)],[c25]) ).
cnf(c152,plain,
multiply(b,additive_identity) = additive_identity,
inference(substitution,[status(thm)],[c108]) ).
cnf(c153,plain,
multiply(multiply(b,additive_identity),inverse(a)) = multiply(additive_identity,inverse(a)),
inference(congruence,[status(thm)],[c152]) ).
cnf(c154,plain,
multiply(additive_identity,inverse(a)) = additive_identity,
inference(substitution,[status(thm)],[c113]) ).
cnf(c155,plain,
multiply(multiply(b,additive_identity),inverse(a)) = additive_identity,
inference(transitivity,[status(thm)],[c153,c154]) ).
cnf(c156,plain,
multiply(inverse(a),add(a,multiply(b,additive_identity))) = additive_identity,
inference(transitivity,[status(thm)],[c151,c155]) ).
cnf(c157,plain,
multiply(inverse(a),add(a,c)) = additive_identity,
inference(transitivity,[status(thm)],[c150,c156]) ).
cnf(c158,plain,
multiply(c,inverse(a)) = additive_identity,
inference(transitivity,[status(thm)],[c129,c157]) ).
cnf(c159,plain,
multiply(inverse(a),c) = additive_identity,
inference(transitivity,[status(thm)],[c127,c158]) ).
cnf(c160,plain,
multiply(c,add(inverse(a),inverse(b))) = additive_identity,
inference(transitivity,[status(thm)],[c126,c159]) ).
cnf(c161,plain,
multiply(c,d) = additive_identity,
inference(transitivity,[status(thm)],[c7,c160]) ).
cnf(c162,plain,
additive_identity = multiply(c,d),
inference(symmetry,[status(thm)],[c161]) ).
cnf(c163,plain,
add(inverse(c),additive_identity) = add(inverse(c),multiply(c,d)),
inference(congruence,[status(thm)],[c162]) ).
cnf(c164,plain,
add(multiply(X3,X2),inverse(X3)) = add(inverse(X3),multiply(X3,X2)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c165,plain,
add(inverse(X3),multiply(X3,X2)) = add(multiply(X3,X2),inverse(X3)),
inference(symmetry,[status(thm)],[c164]) ).
cnf(c166,plain,
add(multiply(X3,X2),inverse(X3)) = multiply(add(X3,inverse(X3)),add(X2,inverse(X3))),
inference(substitution,[status(thm)],[c55]) ).
cnf(c167,axiom,
add(X2,inverse(X2)) = multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c168,plain,
multiply(add(X3,inverse(X3)),add(X2,inverse(X3))) = multiply(multiplicative_identity,add(X2,inverse(X3))),
inference(congruence,[status(thm)],[c167]) ).
cnf(c169,axiom,
multiply(multiplicative_identity,X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_id2) ).
cnf(c170,plain,
multiply(multiplicative_identity,add(X2,inverse(X3))) = add(X2,inverse(X3)),
inference(substitution,[status(thm)],[c169]) ).
cnf(c171,plain,
multiply(add(X3,inverse(X3)),add(X2,inverse(X3))) = add(X2,inverse(X3)),
inference(transitivity,[status(thm)],[c168,c170]) ).
cnf(c172,plain,
add(multiply(X3,X2),inverse(X3)) = add(X2,inverse(X3)),
inference(transitivity,[status(thm)],[c166,c171]) ).
cnf(c173,plain,
add(inverse(X3),multiply(X3,X2)) = add(X2,inverse(X3)),
inference(transitivity,[status(thm)],[c165,c172]) ).
cnf(c174,plain,
add(inverse(c),multiply(c,d)) = add(d,inverse(c)),
inference(substitution,[status(thm)],[c173]) ).
cnf(c175,plain,
multiply(inverse(c),add(c,d)) = multiply(d,inverse(c)),
inference(substitution,[status(thm)],[c25]) ).
cnf(c176,plain,
multiply(d,inverse(c)) = multiply(inverse(c),add(c,d)),
inference(symmetry,[status(thm)],[c175]) ).
cnf(c177,plain,
add(d,c) = add(c,d),
inference(substitution,[status(thm)],[c8]) ).
cnf(c178,plain,
add(c,d) = add(d,c),
inference(symmetry,[status(thm)],[c177]) ).
cnf(c179,plain,
c = multiply(a,b),
inference(symmetry,[status(thm)],[c45]) ).
cnf(c180,plain,
add(d,c) = add(d,multiply(a,b)),
inference(congruence,[status(thm)],[c179]) ).
cnf(c181,plain,
multiply(b,X2) = multiply(X2,b),
inference(substitution,[status(thm)],[c14]) ).
cnf(c182,plain,
multiply(X2,b) = multiply(b,X2),
inference(symmetry,[status(thm)],[c181]) ).
cnf(c183,plain,
add(d,multiply(X2,b)) = add(d,multiply(b,X2)),
inference(congruence,[status(thm)],[c182]) ).
cnf(c184,plain,
add(multiply(b,X2),d) = add(d,multiply(b,X2)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c185,plain,
add(d,multiply(b,X2)) = add(multiply(b,X2),d),
inference(symmetry,[status(thm)],[c184]) ).
cnf(c186,plain,
add(multiply(b,X2),d) = multiply(add(b,d),add(X2,d)),
inference(substitution,[status(thm)],[c55]) ).
cnf(c187,plain,
multiply(inverse(X3),X2) = multiply(X2,inverse(X3)),
inference(substitution,[status(thm)],[c14]) ).
cnf(c188,plain,
multiply(X2,inverse(X3)) = multiply(inverse(X3),X2),
inference(symmetry,[status(thm)],[c187]) ).
cnf(c189,plain,
add(X3,multiply(X2,inverse(X3))) = add(X3,multiply(inverse(X3),X2)),
inference(congruence,[status(thm)],[c188]) ).
cnf(c190,plain,
add(X3,multiply(inverse(X3),X2)) = multiply(add(X3,inverse(X3)),add(X3,X2)),
inference(substitution,[status(thm)],[c30]) ).
cnf(c191,plain,
multiply(add(X3,inverse(X3)),add(X3,X2)) = multiply(multiplicative_identity,add(X3,X2)),
inference(congruence,[status(thm)],[c167]) ).
cnf(c192,plain,
multiply(multiplicative_identity,add(X3,X2)) = add(X3,X2),
inference(substitution,[status(thm)],[c169]) ).
cnf(c193,plain,
multiply(add(X3,inverse(X3)),add(X3,X2)) = add(X3,X2),
inference(transitivity,[status(thm)],[c191,c192]) ).
cnf(c194,plain,
add(X3,multiply(inverse(X3),X2)) = add(X3,X2),
inference(transitivity,[status(thm)],[c190,c193]) ).
cnf(c195,plain,
add(X3,multiply(X2,inverse(X3))) = add(X3,X2),
inference(transitivity,[status(thm)],[c189,c194]) ).
cnf(c196,plain,
add(b,multiply(d,inverse(b))) = add(b,d),
inference(substitution,[status(thm)],[c195]) ).
cnf(c197,plain,
add(b,d) = add(b,multiply(d,inverse(b))),
inference(symmetry,[status(thm)],[c196]) ).
cnf(c198,plain,
multiply(inverse(b),d) = multiply(d,inverse(b)),
inference(substitution,[status(thm)],[c14]) ).
cnf(c199,plain,
multiply(d,inverse(b)) = multiply(inverse(b),d),
inference(symmetry,[status(thm)],[c198]) ).
cnf(c200,plain,
d = add(inverse(a),inverse(b)),
inference(symmetry,[status(thm)],[c5]) ).
cnf(c201,plain,
multiply(inverse(b),d) = multiply(inverse(b),add(inverse(a),inverse(b))),
inference(congruence,[status(thm)],[c200]) ).
cnf(c202,plain,
add(X3,X2) = add(X2,X3),
inference(substitution,[status(thm)],[c8]) ).
cnf(c203,plain,
add(X2,X3) = add(X3,X2),
inference(symmetry,[status(thm)],[c202]) ).
cnf(c204,plain,
multiply(X3,add(X2,X3)) = multiply(X3,add(X3,X2)),
inference(congruence,[status(thm)],[c203]) ).
cnf(c205,plain,
add(X3,multiply(X2,additive_identity)) = add(X3,additive_identity),
inference(congruence,[status(thm)],[c108]) ).
cnf(c206,plain,
add(X3,multiply(X2,additive_identity)) = X3,
inference(transitivity,[status(thm)],[c205,c2]) ).
cnf(c207,plain,
multiply(X3,add(X3,X2)) = X3,
inference(transitivity,[status(thm)],[c36,c206]) ).
cnf(c208,plain,
multiply(X3,add(X2,X3)) = X3,
inference(transitivity,[status(thm)],[c204,c207]) ).
cnf(c209,plain,
multiply(inverse(b),add(inverse(a),inverse(b))) = inverse(b),
inference(substitution,[status(thm)],[c208]) ).
cnf(c210,plain,
multiply(inverse(b),d) = inverse(b),
inference(transitivity,[status(thm)],[c201,c209]) ).
cnf(c211,plain,
multiply(d,inverse(b)) = inverse(b),
inference(transitivity,[status(thm)],[c199,c210]) ).
cnf(c212,plain,
add(b,multiply(d,inverse(b))) = add(b,inverse(b)),
inference(congruence,[status(thm)],[c211]) ).
cnf(c213,plain,
add(b,inverse(b)) = multiplicative_identity,
inference(substitution,[status(thm)],[c167]) ).
cnf(c214,plain,
add(b,multiply(d,inverse(b))) = multiplicative_identity,
inference(transitivity,[status(thm)],[c212,c213]) ).
cnf(c215,plain,
add(b,d) = multiplicative_identity,
inference(transitivity,[status(thm)],[c197,c214]) ).
cnf(c216,plain,
multiply(add(b,d),add(X2,d)) = multiply(multiplicative_identity,add(X2,d)),
inference(congruence,[status(thm)],[c215]) ).
cnf(c217,plain,
multiply(multiplicative_identity,add(X2,d)) = add(X2,d),
inference(substitution,[status(thm)],[c169]) ).
cnf(c218,plain,
multiply(add(b,d),add(X2,d)) = add(X2,d),
inference(transitivity,[status(thm)],[c216,c217]) ).
cnf(c219,plain,
add(multiply(b,X2),d) = add(X2,d),
inference(transitivity,[status(thm)],[c186,c218]) ).
cnf(c220,plain,
add(d,multiply(b,X2)) = add(X2,d),
inference(transitivity,[status(thm)],[c185,c219]) ).
cnf(c221,plain,
add(d,multiply(X2,b)) = add(X2,d),
inference(transitivity,[status(thm)],[c183,c220]) ).
cnf(c222,plain,
add(d,multiply(a,b)) = add(a,d),
inference(substitution,[status(thm)],[c221]) ).
cnf(c223,plain,
add(a,multiply(d,inverse(a))) = add(a,d),
inference(substitution,[status(thm)],[c195]) ).
cnf(c224,plain,
add(a,d) = add(a,multiply(d,inverse(a))),
inference(symmetry,[status(thm)],[c223]) ).
cnf(c225,plain,
multiply(inverse(a),d) = multiply(d,inverse(a)),
inference(substitution,[status(thm)],[c14]) ).
cnf(c226,plain,
multiply(d,inverse(a)) = multiply(inverse(a),d),
inference(symmetry,[status(thm)],[c225]) ).
cnf(c227,plain,
add(inverse(a),d) = add(d,inverse(a)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c228,plain,
add(d,inverse(a)) = add(inverse(a),d),
inference(symmetry,[status(thm)],[c227]) ).
cnf(c229,plain,
d = add(inverse(a),inverse(b)),
inference(symmetry,[status(thm)],[c5]) ).
cnf(c230,plain,
add(inverse(a),d) = add(inverse(a),add(inverse(a),inverse(b))),
inference(congruence,[status(thm)],[c229]) ).
cnf(c231,plain,
add(add(X3,X2),X3) = add(X3,add(X3,X2)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c232,plain,
add(X3,add(X3,X2)) = add(add(X3,X2),X3),
inference(symmetry,[status(thm)],[c231]) ).
cnf(c233,plain,
X2 = add(X2,additive_identity),
inference(symmetry,[status(thm)],[c2]) ).
cnf(c234,plain,
add(add(X3,X2),X3) = add(add(X3,X2),add(X3,additive_identity)),
inference(congruence,[status(thm)],[c233]) ).
cnf(c235,plain,
additive_identity = multiply(X2,additive_identity),
inference(symmetry,[status(thm)],[c108]) ).
cnf(c236,plain,
add(X3,additive_identity) = add(X3,multiply(X2,additive_identity)),
inference(congruence,[status(thm)],[c235]) ).
cnf(c237,plain,
add(add(X3,X2),add(X3,additive_identity)) = add(add(X3,X2),add(X3,multiply(X2,additive_identity))),
inference(congruence,[status(thm)],[c236]) ).
cnf(c238,plain,
add(X3,multiply(X2,additive_identity)) = multiply(X3,add(X3,X2)),
inference(symmetry,[status(thm)],[c36]) ).
cnf(c239,plain,
add(add(X3,X2),add(X3,multiply(X2,additive_identity))) = add(add(X3,X2),multiply(X3,add(X3,X2))),
inference(congruence,[status(thm)],[c238]) ).
cnf(c240,plain,
multiply(X3,X2) = multiply(X2,X3),
inference(substitution,[status(thm)],[c14]) ).
cnf(c241,plain,
multiply(X2,X3) = multiply(X3,X2),
inference(symmetry,[status(thm)],[c240]) ).
cnf(c242,plain,
add(X3,multiply(X2,X3)) = add(X3,multiply(X3,X2)),
inference(congruence,[status(thm)],[c241]) ).
cnf(c243,plain,
add(X3,multiply(X3,X2)) = multiply(X3,add(X2,multiplicative_identity)),
inference(symmetry,[status(thm)],[c72]) ).
cnf(c244,plain,
multiply(multiplicative_identity,add(multiplicative_identity,X2)) = add(multiplicative_identity,multiply(X2,additive_identity)),
inference(substitution,[status(thm)],[c36]) ).
cnf(c245,plain,
add(multiplicative_identity,multiply(X2,additive_identity)) = multiply(multiplicative_identity,add(multiplicative_identity,X2)),
inference(symmetry,[status(thm)],[c244]) ).
cnf(c246,plain,
multiply(multiplicative_identity,add(multiplicative_identity,X2)) = add(multiplicative_identity,X2),
inference(substitution,[status(thm)],[c169]) ).
cnf(c247,plain,
add(multiplicative_identity,X2) = add(X2,multiplicative_identity),
inference(substitution,[status(thm)],[c8]) ).
cnf(c248,plain,
multiply(multiplicative_identity,add(multiplicative_identity,X2)) = add(X2,multiplicative_identity),
inference(transitivity,[status(thm)],[c246,c247]) ).
cnf(c249,plain,
add(multiplicative_identity,multiply(X2,additive_identity)) = add(X2,multiplicative_identity),
inference(transitivity,[status(thm)],[c245,c248]) ).
cnf(c250,plain,
add(X2,multiplicative_identity) = add(multiplicative_identity,multiply(X2,additive_identity)),
inference(symmetry,[status(thm)],[c249]) ).
cnf(c251,plain,
add(multiplicative_identity,multiply(X2,additive_identity)) = add(multiplicative_identity,additive_identity),
inference(congruence,[status(thm)],[c108]) ).
cnf(c252,plain,
add(multiplicative_identity,additive_identity) = multiplicative_identity,
inference(substitution,[status(thm)],[c2]) ).
cnf(c253,plain,
add(multiplicative_identity,multiply(X2,additive_identity)) = multiplicative_identity,
inference(transitivity,[status(thm)],[c251,c252]) ).
cnf(c254,plain,
add(X2,multiplicative_identity) = multiplicative_identity,
inference(transitivity,[status(thm)],[c250,c253]) ).
cnf(c255,plain,
multiply(X3,add(X2,multiplicative_identity)) = multiply(X3,multiplicative_identity),
inference(congruence,[status(thm)],[c254]) ).
cnf(c256,plain,
multiply(X3,add(X2,multiplicative_identity)) = X3,
inference(transitivity,[status(thm)],[c255,c69]) ).
cnf(c257,plain,
add(X3,multiply(X3,X2)) = X3,
inference(transitivity,[status(thm)],[c243,c256]) ).
cnf(c258,plain,
add(X3,multiply(X2,X3)) = X3,
inference(transitivity,[status(thm)],[c242,c257]) ).
cnf(c259,plain,
add(add(X3,X2),multiply(X3,add(X3,X2))) = add(X3,X2),
inference(substitution,[status(thm)],[c258]) ).
cnf(c260,plain,
add(add(X3,X2),add(X3,multiply(X2,additive_identity))) = add(X3,X2),
inference(transitivity,[status(thm)],[c239,c259]) ).
cnf(c261,plain,
add(add(X3,X2),add(X3,additive_identity)) = add(X3,X2),
inference(transitivity,[status(thm)],[c237,c260]) ).
cnf(c262,plain,
add(add(X3,X2),X3) = add(X3,X2),
inference(transitivity,[status(thm)],[c234,c261]) ).
cnf(c263,plain,
add(X3,add(X3,X2)) = add(X3,X2),
inference(transitivity,[status(thm)],[c232,c262]) ).
cnf(c264,plain,
add(inverse(a),add(inverse(a),inverse(b))) = add(inverse(a),inverse(b)),
inference(substitution,[status(thm)],[c263]) ).
cnf(c265,plain,
add(inverse(a),add(inverse(a),inverse(b))) = d,
inference(transitivity,[status(thm)],[c264,c5]) ).
cnf(c266,plain,
add(inverse(a),d) = d,
inference(transitivity,[status(thm)],[c230,c265]) ).
cnf(c267,plain,
add(d,inverse(a)) = d,
inference(transitivity,[status(thm)],[c228,c266]) ).
cnf(c268,plain,
d = add(d,inverse(a)),
inference(symmetry,[status(thm)],[c267]) ).
cnf(c269,plain,
multiply(inverse(a),d) = multiply(inverse(a),add(d,inverse(a))),
inference(congruence,[status(thm)],[c268]) ).
cnf(c270,plain,
multiply(inverse(a),add(d,inverse(a))) = inverse(a),
inference(substitution,[status(thm)],[c208]) ).
cnf(c271,plain,
multiply(inverse(a),d) = inverse(a),
inference(transitivity,[status(thm)],[c269,c270]) ).
cnf(c272,plain,
multiply(d,inverse(a)) = inverse(a),
inference(transitivity,[status(thm)],[c226,c271]) ).
cnf(c273,plain,
add(a,multiply(d,inverse(a))) = add(a,inverse(a)),
inference(congruence,[status(thm)],[c272]) ).
cnf(c274,plain,
add(a,inverse(a)) = multiplicative_identity,
inference(substitution,[status(thm)],[c167]) ).
cnf(c275,plain,
add(a,multiply(d,inverse(a))) = multiplicative_identity,
inference(transitivity,[status(thm)],[c273,c274]) ).
cnf(c276,plain,
add(a,d) = multiplicative_identity,
inference(transitivity,[status(thm)],[c224,c275]) ).
cnf(c277,plain,
add(d,multiply(a,b)) = multiplicative_identity,
inference(transitivity,[status(thm)],[c222,c276]) ).
cnf(c278,plain,
add(d,c) = multiplicative_identity,
inference(transitivity,[status(thm)],[c180,c277]) ).
cnf(c279,plain,
add(c,d) = multiplicative_identity,
inference(transitivity,[status(thm)],[c178,c278]) ).
cnf(c280,plain,
multiply(inverse(c),add(c,d)) = multiply(inverse(c),multiplicative_identity),
inference(congruence,[status(thm)],[c279]) ).
cnf(c281,plain,
multiply(inverse(c),multiplicative_identity) = inverse(c),
inference(substitution,[status(thm)],[c69]) ).
cnf(c282,plain,
multiply(inverse(c),add(c,d)) = inverse(c),
inference(transitivity,[status(thm)],[c280,c281]) ).
cnf(c283,plain,
multiply(d,inverse(c)) = inverse(c),
inference(transitivity,[status(thm)],[c176,c282]) ).
cnf(c284,plain,
inverse(c) = multiply(d,inverse(c)),
inference(symmetry,[status(thm)],[c283]) ).
cnf(c285,plain,
add(d,inverse(c)) = add(d,multiply(d,inverse(c))),
inference(congruence,[status(thm)],[c284]) ).
cnf(c286,plain,
multiply(d,add(inverse(c),multiplicative_identity)) = add(d,multiply(d,inverse(c))),
inference(substitution,[status(thm)],[c72]) ).
cnf(c287,plain,
add(d,multiply(d,inverse(c))) = multiply(d,add(inverse(c),multiplicative_identity)),
inference(symmetry,[status(thm)],[c286]) ).
cnf(c288,plain,
add(inverse(c),multiplicative_identity) = multiplicative_identity,
inference(substitution,[status(thm)],[c254]) ).
cnf(c289,plain,
multiply(d,add(inverse(c),multiplicative_identity)) = multiply(d,multiplicative_identity),
inference(congruence,[status(thm)],[c288]) ).
cnf(c290,plain,
multiply(d,multiplicative_identity) = d,
inference(substitution,[status(thm)],[c69]) ).
cnf(c291,plain,
multiply(d,add(inverse(c),multiplicative_identity)) = d,
inference(transitivity,[status(thm)],[c289,c290]) ).
cnf(c292,plain,
add(d,multiply(d,inverse(c))) = d,
inference(transitivity,[status(thm)],[c287,c291]) ).
cnf(c293,plain,
add(d,inverse(c)) = d,
inference(transitivity,[status(thm)],[c285,c292]) ).
cnf(c294,plain,
add(inverse(c),multiply(c,d)) = d,
inference(transitivity,[status(thm)],[c174,c293]) ).
cnf(c295,plain,
add(inverse(c),additive_identity) = d,
inference(transitivity,[status(thm)],[c163,c294]) ).
cnf(c296,plain,
inverse(c) = d,
inference(transitivity,[status(thm)],[c4,c295]) ).
cnf(c297,plain,
$false,
inference(resolution,[status(thm)],[c1,c296]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : BOO015-2 : TPTP v9.3.1. Bugfixed v1.0.1.
% 0.00/0.02 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.00/0.12 % Computer : n012.cluster.edu
% 0.00/0.12 % Model : x86_64 x86_64
% 0.00/0.12 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.12 % Memory : 8046.5625MB
% 0.00/0.12 % OS : Linux 6.8.0-71-generic
% 0.00/0.12 % CPULimit : 300
% 0.00/0.12 % WCLimit : 300
% 0.00/0.12 % DateTime : Mon Sep 28 21:04:03 UTC 2026
% 0.00/0.12 % CPUTime :
% 0.00/0.12 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.86/0.36 Command-line arguments: --no-flatten-goal
% 0.86/0.36
% 0.86/0.36 % SZS status Unsatisfiable
% 0.86/0.36
% 0.86/0.37 % SZS output start CNFRefutation
% See solution above
% 2.25/0.50
% 2.25/0.50 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------