%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : KLE084-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 11:39:47 AM UTC 2026
% Result : Unsatisfiable 3.87s 0.93s
% Output : CNFRefutation 4.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 19
% Syntax : Number of clauses : 239 ( 239 unt; 0 nHn; 21 RR)
% Number of literals : 239 ( 238 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-4 aty)
% Number of variables : 391 ( 19 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
domain(multiplication(sK2_goals_X0,sK1_goals_X1)) != domain(multiplication(sK2_goals_X0,domain(sK1_goals_X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(c2,axiom,
addition(A,zero) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).
cnf(c3,plain,
addition(domain(multiplication(X2,domain(X))),zero) = domain(multiplication(X2,domain(X))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
domain(multiplication(X2,domain(X))) = addition(domain(multiplication(X2,domain(X))),zero),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,axiom,
multiplication(one,A2) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).
cnf(c6,plain,
multiplication(one,multiplication(antidomain(domain(multiplication(X2,domain(X)))),domain(multiplication(X2,X)))) = multiplication(antidomain(domain(multiplication(X2,domain(X)))),domain(multiplication(X2,X))),
inference(substitution,[status(thm)],[c5]) ).
cnf(c7,plain,
multiplication(antidomain(domain(multiplication(X2,domain(X)))),domain(multiplication(X2,X))) = multiplication(one,multiplication(antidomain(domain(multiplication(X2,domain(X)))),domain(multiplication(X2,X)))),
inference(symmetry,[status(thm)],[c6]) ).
cnf(c8,axiom,
multiplication(A2,one) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
cnf(c9,plain,
multiplication(antidomain(domain(X)),one) = antidomain(domain(X)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c10,plain,
antidomain(domain(X)) = multiplication(antidomain(domain(X)),one),
inference(symmetry,[status(thm)],[c9]) ).
cnf(c11,axiom,
domain(X0) = antidomain(antidomain(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain4) ).
cnf(c12,plain,
domain(X) = antidomain(antidomain(X)),
inference(substitution,[status(thm)],[c11]) ).
cnf(c13,plain,
addition(domain(X),antidomain(X)) = addition(antidomain(antidomain(X)),antidomain(X)),
inference(congruence,[status(thm)],[c12]) ).
cnf(c14,axiom,
addition(antidomain(antidomain(X0_2)),antidomain(X0_2)) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain3) ).
cnf(c15,plain,
addition(antidomain(antidomain(X)),antidomain(X)) = one,
inference(substitution,[status(thm)],[c14]) ).
cnf(c16,plain,
addition(domain(X),antidomain(X)) = one,
inference(transitivity,[status(thm)],[c13,c15]) ).
cnf(c17,plain,
one = addition(domain(X),antidomain(X)),
inference(symmetry,[status(thm)],[c16]) ).
cnf(c18,plain,
multiplication(antidomain(domain(X)),one) = multiplication(antidomain(domain(X)),addition(domain(X),antidomain(X))),
inference(congruence,[status(thm)],[c17]) ).
cnf(c19,axiom,
addition(A2,B) = addition(B,A2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
cnf(c20,plain,
addition(X,X2) = addition(X2,X),
inference(substitution,[status(thm)],[c19]) ).
cnf(c21,plain,
addition(X2,X) = addition(X,X2),
inference(symmetry,[status(thm)],[c20]) ).
cnf(c22,plain,
multiplication(antidomain(X2),addition(X2,X)) = multiplication(antidomain(X2),addition(X,X2)),
inference(congruence,[status(thm)],[c21]) ).
cnf(c23,axiom,
multiplication(A2,addition(B2,C)) = addition(multiplication(A2,B2),multiplication(A2,C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_distributivity) ).
cnf(c24,plain,
multiplication(antidomain(X2),addition(X,X2)) = addition(multiplication(antidomain(X2),X),multiplication(antidomain(X2),X2)),
inference(substitution,[status(thm)],[c23]) ).
cnf(c25,axiom,
multiplication(antidomain(X0_2),X0_2) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
cnf(c26,plain,
multiplication(antidomain(X),X) = zero,
inference(substitution,[status(thm)],[c25]) ).
cnf(c27,plain,
addition(multiplication(antidomain(X2),X),multiplication(antidomain(X2),X2)) = addition(multiplication(antidomain(X2),X),zero),
inference(congruence,[status(thm)],[c26]) ).
cnf(c28,plain,
addition(multiplication(antidomain(X2),X),zero) = multiplication(antidomain(X2),X),
inference(substitution,[status(thm)],[c2]) ).
cnf(c29,plain,
addition(multiplication(antidomain(X2),X),multiplication(antidomain(X2),X2)) = multiplication(antidomain(X2),X),
inference(transitivity,[status(thm)],[c27,c28]) ).
cnf(c30,plain,
multiplication(antidomain(X2),addition(X,X2)) = multiplication(antidomain(X2),X),
inference(transitivity,[status(thm)],[c24,c29]) ).
cnf(c31,plain,
multiplication(antidomain(X2),addition(X2,X)) = multiplication(antidomain(X2),X),
inference(transitivity,[status(thm)],[c22,c30]) ).
cnf(c32,plain,
multiplication(antidomain(domain(X)),addition(domain(X),antidomain(X))) = multiplication(antidomain(domain(X)),antidomain(X)),
inference(substitution,[status(thm)],[c31]) ).
cnf(c33,plain,
domain(X) = antidomain(antidomain(X)),
inference(substitution,[status(thm)],[c11]) ).
cnf(c34,plain,
antidomain(domain(X)) = antidomain(antidomain(antidomain(X))),
inference(congruence,[status(thm)],[c33]) ).
cnf(c35,plain,
domain(antidomain(X)) = antidomain(antidomain(antidomain(X))),
inference(substitution,[status(thm)],[c11]) ).
cnf(c36,plain,
antidomain(antidomain(antidomain(X))) = domain(antidomain(X)),
inference(symmetry,[status(thm)],[c35]) ).
cnf(c37,plain,
antidomain(domain(X)) = domain(antidomain(X)),
inference(transitivity,[status(thm)],[c34,c36]) ).
cnf(c38,plain,
multiplication(antidomain(domain(X)),antidomain(X)) = multiplication(domain(antidomain(X)),antidomain(X)),
inference(congruence,[status(thm)],[c37]) ).
cnf(c39,axiom,
multiplication(addition(A2,B2),C2) = addition(multiplication(A2,C2),multiplication(B2,C2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_distributivity) ).
cnf(c40,plain,
multiplication(addition(X2,antidomain(X)),X) = addition(multiplication(X2,X),multiplication(antidomain(X),X)),
inference(substitution,[status(thm)],[c39]) ).
cnf(c41,plain,
multiplication(antidomain(X),X) = zero,
inference(substitution,[status(thm)],[c25]) ).
cnf(c42,plain,
addition(multiplication(X2,X),multiplication(antidomain(X),X)) = addition(multiplication(X2,X),zero),
inference(congruence,[status(thm)],[c41]) ).
cnf(c43,plain,
addition(multiplication(X2,X),zero) = multiplication(X2,X),
inference(substitution,[status(thm)],[c2]) ).
cnf(c44,plain,
addition(multiplication(X2,X),multiplication(antidomain(X),X)) = multiplication(X2,X),
inference(transitivity,[status(thm)],[c42,c43]) ).
cnf(c45,plain,
multiplication(addition(X2,antidomain(X)),X) = multiplication(X2,X),
inference(transitivity,[status(thm)],[c40,c44]) ).
cnf(c46,plain,
multiplication(addition(domain(X),antidomain(X)),X) = multiplication(domain(X),X),
inference(substitution,[status(thm)],[c45]) ).
cnf(c47,plain,
multiplication(domain(X),X) = multiplication(addition(domain(X),antidomain(X)),X),
inference(symmetry,[status(thm)],[c46]) ).
cnf(c48,plain,
multiplication(addition(domain(X),antidomain(X)),X) = multiplication(one,X),
inference(congruence,[status(thm)],[c16]) ).
cnf(c49,plain,
multiplication(one,X) = X,
inference(substitution,[status(thm)],[c5]) ).
cnf(c50,plain,
multiplication(addition(domain(X),antidomain(X)),X) = X,
inference(transitivity,[status(thm)],[c48,c49]) ).
cnf(c51,plain,
multiplication(domain(X),X) = X,
inference(transitivity,[status(thm)],[c47,c50]) ).
cnf(c52,plain,
multiplication(domain(antidomain(X)),antidomain(X)) = antidomain(X),
inference(substitution,[status(thm)],[c51]) ).
cnf(c53,plain,
multiplication(antidomain(domain(X)),antidomain(X)) = antidomain(X),
inference(transitivity,[status(thm)],[c38,c52]) ).
cnf(c54,plain,
multiplication(antidomain(domain(X)),addition(domain(X),antidomain(X))) = antidomain(X),
inference(transitivity,[status(thm)],[c32,c53]) ).
cnf(c55,plain,
multiplication(antidomain(domain(X)),one) = antidomain(X),
inference(transitivity,[status(thm)],[c18,c54]) ).
cnf(c56,plain,
antidomain(domain(X)) = antidomain(X),
inference(transitivity,[status(thm)],[c10,c55]) ).
cnf(c57,plain,
antidomain(domain(multiplication(X2,domain(X)))) = antidomain(multiplication(X2,domain(X))),
inference(substitution,[status(thm)],[c56]) ).
cnf(c58,plain,
multiplication(antidomain(domain(multiplication(X2,domain(X)))),domain(multiplication(X2,X))) = multiplication(antidomain(multiplication(X2,domain(X))),domain(multiplication(X2,X))),
inference(congruence,[status(thm)],[c57]) ).
cnf(c59,plain,
antidomain(multiplication(antidomain(domain(multiplication(X2,domain(X)))),domain(multiplication(X2,X)))) = antidomain(multiplication(antidomain(multiplication(X2,domain(X))),domain(multiplication(X2,X)))),
inference(congruence,[status(thm)],[c58]) ).
cnf(c60,plain,
domain(X) = antidomain(antidomain(X)),
inference(substitution,[status(thm)],[c11]) ).
cnf(c61,plain,
multiplication(X2,domain(X)) = multiplication(X2,antidomain(antidomain(X))),
inference(congruence,[status(thm)],[c60]) ).
cnf(c62,plain,
antidomain(multiplication(X2,domain(X))) = antidomain(multiplication(X2,antidomain(antidomain(X)))),
inference(congruence,[status(thm)],[c61]) ).
cnf(c63,plain,
addition(antidomain(multiplication(X2,X)),antidomain(multiplication(X2,domain(X)))) = addition(antidomain(multiplication(X2,X)),antidomain(multiplication(X2,antidomain(antidomain(X))))),
inference(congruence,[status(thm)],[c62]) ).
cnf(c64,axiom,
addition(antidomain(multiplication(X0_2,X1)),antidomain(multiplication(X0_2,antidomain(antidomain(X1))))) = antidomain(multiplication(X0_2,antidomain(antidomain(X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).
cnf(c65,plain,
addition(antidomain(multiplication(X2,X)),antidomain(multiplication(X2,antidomain(antidomain(X))))) = antidomain(multiplication(X2,antidomain(antidomain(X)))),
inference(substitution,[status(thm)],[c64]) ).
cnf(c66,plain,
domain(X) = antidomain(antidomain(X)),
inference(substitution,[status(thm)],[c11]) ).
cnf(c67,plain,
antidomain(antidomain(X)) = domain(X),
inference(symmetry,[status(thm)],[c66]) ).
cnf(c68,plain,
multiplication(X2,antidomain(antidomain(X))) = multiplication(X2,domain(X)),
inference(congruence,[status(thm)],[c67]) ).
cnf(c69,plain,
antidomain(multiplication(X2,antidomain(antidomain(X)))) = antidomain(multiplication(X2,domain(X))),
inference(congruence,[status(thm)],[c68]) ).
cnf(c70,plain,
addition(antidomain(multiplication(X2,X)),antidomain(multiplication(X2,antidomain(antidomain(X))))) = antidomain(multiplication(X2,domain(X))),
inference(transitivity,[status(thm)],[c65,c69]) ).
cnf(c71,plain,
addition(antidomain(multiplication(X2,X)),antidomain(multiplication(X2,domain(X)))) = antidomain(multiplication(X2,domain(X))),
inference(transitivity,[status(thm)],[c63,c70]) ).
cnf(c72,plain,
addition(antidomain(multiplication(antidomain(multiplication(X2,domain(X))),multiplication(X2,X))),antidomain(multiplication(antidomain(multiplication(X2,domain(X))),domain(multiplication(X2,X))))) = antidomain(multiplication(antidomain(multiplication(X2,domain(X))),domain(multiplication(X2,X)))),
inference(substitution,[status(thm)],[c71]) ).
cnf(c73,plain,
antidomain(multiplication(antidomain(multiplication(X2,domain(X))),domain(multiplication(X2,X)))) = addition(antidomain(multiplication(antidomain(multiplication(X2,domain(X))),multiplication(X2,X))),antidomain(multiplication(antidomain(multiplication(X2,domain(X))),domain(multiplication(X2,X))))),
inference(symmetry,[status(thm)],[c72]) ).
cnf(c74,axiom,
multiplication(A2,multiplication(B2,C2)) = multiplication(multiplication(A2,B2),C2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_associativity) ).
cnf(c75,plain,
multiplication(X2,multiplication(domain(X),X)) = multiplication(multiplication(X2,domain(X)),X),
inference(substitution,[status(thm)],[c74]) ).
cnf(c76,plain,
multiplication(multiplication(X2,domain(X)),X) = multiplication(X2,multiplication(domain(X),X)),
inference(symmetry,[status(thm)],[c75]) ).
cnf(c77,plain,
multiplication(X2,multiplication(domain(X),X)) = multiplication(X2,X),
inference(congruence,[status(thm)],[c51]) ).
cnf(c78,plain,
multiplication(multiplication(X2,domain(X)),X) = multiplication(X2,X),
inference(transitivity,[status(thm)],[c76,c77]) ).
cnf(c79,plain,
multiplication(X2,X) = multiplication(multiplication(X2,domain(X)),X),
inference(symmetry,[status(thm)],[c78]) ).
cnf(c80,plain,
multiplication(antidomain(multiplication(X2,domain(X))),multiplication(X2,X)) = multiplication(antidomain(multiplication(X2,domain(X))),multiplication(multiplication(X2,domain(X)),X)),
inference(congruence,[status(thm)],[c79]) ).
cnf(c81,plain,
multiplication(antidomain(X2),multiplication(X2,X)) = multiplication(multiplication(antidomain(X2),X2),X),
inference(substitution,[status(thm)],[c74]) ).
cnf(c82,plain,
multiplication(antidomain(X),X) = zero,
inference(substitution,[status(thm)],[c25]) ).
cnf(c83,plain,
multiplication(multiplication(antidomain(X2),X2),X) = multiplication(zero,X),
inference(congruence,[status(thm)],[c82]) ).
cnf(c84,axiom,
multiplication(zero,A2) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_annihilation) ).
cnf(c85,plain,
multiplication(zero,X) = zero,
inference(substitution,[status(thm)],[c84]) ).
cnf(c86,plain,
multiplication(multiplication(antidomain(X2),X2),X) = zero,
inference(transitivity,[status(thm)],[c83,c85]) ).
cnf(c87,plain,
multiplication(antidomain(X2),multiplication(X2,X)) = zero,
inference(transitivity,[status(thm)],[c81,c86]) ).
cnf(c88,plain,
multiplication(antidomain(multiplication(X2,domain(X))),multiplication(multiplication(X2,domain(X)),X)) = zero,
inference(substitution,[status(thm)],[c87]) ).
cnf(c89,plain,
multiplication(antidomain(multiplication(X2,domain(X))),multiplication(X2,X)) = zero,
inference(transitivity,[status(thm)],[c80,c88]) ).
cnf(c90,plain,
antidomain(multiplication(antidomain(multiplication(X2,domain(X))),multiplication(X2,X))) = antidomain(zero),
inference(congruence,[status(thm)],[c89]) ).
cnf(c91,plain,
addition(antidomain(multiplication(antidomain(multiplication(X2,domain(X))),multiplication(X2,X))),antidomain(multiplication(antidomain(multiplication(X2,domain(X))),domain(multiplication(X2,X))))) = addition(antidomain(zero),antidomain(multiplication(antidomain(multiplication(X2,domain(X))),domain(multiplication(X2,X))))),
inference(congruence,[status(thm)],[c90]) ).
cnf(c92,plain,
multiplication(antidomain(one),one) = antidomain(one),
inference(substitution,[status(thm)],[c8]) ).
cnf(c93,plain,
antidomain(one) = multiplication(antidomain(one),one),
inference(symmetry,[status(thm)],[c92]) ).
cnf(c94,plain,
multiplication(antidomain(one),one) = zero,
inference(substitution,[status(thm)],[c25]) ).
cnf(c95,plain,
antidomain(one) = zero,
inference(transitivity,[status(thm)],[c93,c94]) ).
cnf(c96,plain,
zero = antidomain(one),
inference(symmetry,[status(thm)],[c95]) ).
cnf(c97,plain,
antidomain(zero) = antidomain(antidomain(one)),
inference(congruence,[status(thm)],[c96]) ).
cnf(c98,plain,
domain(one) = antidomain(antidomain(one)),
inference(substitution,[status(thm)],[c11]) ).
cnf(c99,plain,
antidomain(antidomain(one)) = domain(one),
inference(symmetry,[status(thm)],[c98]) ).
cnf(c100,plain,
addition(domain(one),zero) = domain(one),
inference(substitution,[status(thm)],[c2]) ).
cnf(c101,plain,
domain(one) = addition(domain(one),zero),
inference(symmetry,[status(thm)],[c100]) ).
cnf(c102,plain,
zero = antidomain(one),
inference(symmetry,[status(thm)],[c95]) ).
cnf(c103,plain,
addition(domain(one),zero) = addition(domain(one),antidomain(one)),
inference(congruence,[status(thm)],[c102]) ).
cnf(c104,plain,
addition(domain(one),antidomain(one)) = one,
inference(substitution,[status(thm)],[c16]) ).
cnf(c105,plain,
addition(domain(one),zero) = one,
inference(transitivity,[status(thm)],[c103,c104]) ).
cnf(c106,plain,
domain(one) = one,
inference(transitivity,[status(thm)],[c101,c105]) ).
cnf(c107,plain,
antidomain(antidomain(one)) = one,
inference(transitivity,[status(thm)],[c99,c106]) ).
cnf(c108,plain,
antidomain(zero) = one,
inference(transitivity,[status(thm)],[c97,c107]) ).
cnf(c109,plain,
addition(antidomain(zero),antidomain(multiplication(antidomain(multiplication(X2,domain(X))),domain(multiplication(X2,X))))) = addition(one,antidomain(multiplication(antidomain(multiplication(X2,domain(X))),domain(multiplication(X2,X))))),
inference(congruence,[status(thm)],[c108]) ).
cnf(c110,plain,
addition(antidomain(X),one) = addition(one,antidomain(X)),
inference(substitution,[status(thm)],[c19]) ).
cnf(c111,plain,
addition(one,antidomain(X)) = addition(antidomain(X),one),
inference(symmetry,[status(thm)],[c110]) ).
cnf(c112,axiom,
ifeq(A2,A2,B2,C2) = B2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).
cnf(c113,plain,
ifeq(true,true,addition(antidomain(X),one),one) = addition(antidomain(X),one),
inference(substitution,[status(thm)],[c112]) ).
cnf(c114,plain,
addition(antidomain(X),one) = ifeq(true,true,addition(antidomain(X),one),one),
inference(symmetry,[status(thm)],[c113]) ).
cnf(c115,plain,
one = addition(domain(X),antidomain(X)),
inference(symmetry,[status(thm)],[c16]) ).
cnf(c116,plain,
leq(antidomain(X),one) = leq(antidomain(X),addition(domain(X),antidomain(X))),
inference(congruence,[status(thm)],[c115]) ).
cnf(c117,plain,
addition(X2,X) = addition(X,X2),
inference(substitution,[status(thm)],[c19]) ).
cnf(c118,plain,
addition(X,X2) = addition(X2,X),
inference(symmetry,[status(thm)],[c117]) ).
cnf(c119,plain,
leq(X2,addition(X,X2)) = leq(X2,addition(X2,X)),
inference(congruence,[status(thm)],[c118]) ).
cnf(c120,axiom,
ifeq2(A2,A2,B2,C2) = B2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(c121,plain,
ifeq2(addition(X2,X),addition(X2,X),leq(X2,addition(X2,X)),true) = leq(X2,addition(X2,X)),
inference(substitution,[status(thm)],[c120]) ).
cnf(c122,plain,
leq(X2,addition(X2,X)) = ifeq2(addition(X2,X),addition(X2,X),leq(X2,addition(X2,X)),true),
inference(symmetry,[status(thm)],[c121]) ).
cnf(c123,axiom,
addition(A2,addition(B2,C2)) = addition(addition(A2,B2),C2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
cnf(c124,plain,
addition(X2,addition(X2,X)) = addition(addition(X2,X2),X),
inference(substitution,[status(thm)],[c123]) ).
cnf(c125,axiom,
addition(A2,A2) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).
cnf(c126,plain,
addition(X,X) = X,
inference(substitution,[status(thm)],[c125]) ).
cnf(c127,plain,
addition(addition(X2,X2),X) = addition(X2,X),
inference(congruence,[status(thm)],[c126]) ).
cnf(c128,plain,
addition(X2,addition(X2,X)) = addition(X2,X),
inference(transitivity,[status(thm)],[c124,c127]) ).
cnf(c129,plain,
addition(X2,X) = addition(X2,addition(X2,X)),
inference(symmetry,[status(thm)],[c128]) ).
cnf(c130,plain,
ifeq2(addition(X2,X),addition(X2,X),leq(X2,addition(X2,X)),true) = ifeq2(addition(X2,addition(X2,X)),addition(X2,X),leq(X2,addition(X2,X)),true),
inference(congruence,[status(thm)],[c129]) ).
cnf(c131,axiom,
ifeq2(addition(A2,B2),B2,leq(A2,B2),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).
cnf(c132,plain,
ifeq2(addition(X2,addition(X2,X)),addition(X2,X),leq(X2,addition(X2,X)),true) = true,
inference(substitution,[status(thm)],[c131]) ).
cnf(c133,plain,
ifeq2(addition(X2,X),addition(X2,X),leq(X2,addition(X2,X)),true) = true,
inference(transitivity,[status(thm)],[c130,c132]) ).
cnf(c134,plain,
leq(X2,addition(X2,X)) = true,
inference(transitivity,[status(thm)],[c122,c133]) ).
cnf(c135,plain,
leq(X2,addition(X,X2)) = true,
inference(transitivity,[status(thm)],[c119,c134]) ).
cnf(c136,plain,
leq(antidomain(X),addition(domain(X),antidomain(X))) = true,
inference(substitution,[status(thm)],[c135]) ).
cnf(c137,plain,
leq(antidomain(X),one) = true,
inference(transitivity,[status(thm)],[c116,c136]) ).
cnf(c138,plain,
true = leq(antidomain(X),one),
inference(symmetry,[status(thm)],[c137]) ).
cnf(c139,plain,
ifeq(true,true,addition(antidomain(X),one),one) = ifeq(leq(antidomain(X),one),true,addition(antidomain(X),one),one),
inference(congruence,[status(thm)],[c138]) ).
cnf(c140,axiom,
ifeq(leq(A2,B2),true,addition(A2,B2),B2) = B2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order_1) ).
cnf(c141,plain,
ifeq(leq(antidomain(X),one),true,addition(antidomain(X),one),one) = one,
inference(substitution,[status(thm)],[c140]) ).
cnf(c142,plain,
ifeq(true,true,addition(antidomain(X),one),one) = one,
inference(transitivity,[status(thm)],[c139,c141]) ).
cnf(c143,plain,
addition(antidomain(X),one) = one,
inference(transitivity,[status(thm)],[c114,c142]) ).
cnf(c144,plain,
addition(one,antidomain(X)) = one,
inference(transitivity,[status(thm)],[c111,c143]) ).
cnf(c145,plain,
addition(one,antidomain(multiplication(antidomain(multiplication(X2,domain(X))),domain(multiplication(X2,X))))) = one,
inference(substitution,[status(thm)],[c144]) ).
cnf(c146,plain,
addition(antidomain(zero),antidomain(multiplication(antidomain(multiplication(X2,domain(X))),domain(multiplication(X2,X))))) = one,
inference(transitivity,[status(thm)],[c109,c145]) ).
cnf(c147,plain,
addition(antidomain(multiplication(antidomain(multiplication(X2,domain(X))),multiplication(X2,X))),antidomain(multiplication(antidomain(multiplication(X2,domain(X))),domain(multiplication(X2,X))))) = one,
inference(transitivity,[status(thm)],[c91,c146]) ).
cnf(c148,plain,
antidomain(multiplication(antidomain(multiplication(X2,domain(X))),domain(multiplication(X2,X)))) = one,
inference(transitivity,[status(thm)],[c73,c147]) ).
cnf(c149,plain,
antidomain(multiplication(antidomain(domain(multiplication(X2,domain(X)))),domain(multiplication(X2,X)))) = one,
inference(transitivity,[status(thm)],[c59,c148]) ).
cnf(c150,plain,
one = antidomain(multiplication(antidomain(domain(multiplication(X2,domain(X)))),domain(multiplication(X2,X)))),
inference(symmetry,[status(thm)],[c149]) ).
cnf(c151,plain,
multiplication(one,multiplication(antidomain(domain(multiplication(X2,domain(X)))),domain(multiplication(X2,X)))) = multiplication(antidomain(multiplication(antidomain(domain(multiplication(X2,domain(X)))),domain(multiplication(X2,X)))),multiplication(antidomain(domain(multiplication(X2,domain(X)))),domain(multiplication(X2,X)))),
inference(congruence,[status(thm)],[c150]) ).
cnf(c152,plain,
multiplication(antidomain(multiplication(antidomain(domain(multiplication(X2,domain(X)))),domain(multiplication(X2,X)))),multiplication(antidomain(domain(multiplication(X2,domain(X)))),domain(multiplication(X2,X)))) = zero,
inference(substitution,[status(thm)],[c25]) ).
cnf(c153,plain,
multiplication(one,multiplication(antidomain(domain(multiplication(X2,domain(X)))),domain(multiplication(X2,X)))) = zero,
inference(transitivity,[status(thm)],[c151,c152]) ).
cnf(c154,plain,
multiplication(antidomain(domain(multiplication(X2,domain(X)))),domain(multiplication(X2,X))) = zero,
inference(transitivity,[status(thm)],[c7,c153]) ).
cnf(c155,plain,
zero = multiplication(antidomain(domain(multiplication(X2,domain(X)))),domain(multiplication(X2,X))),
inference(symmetry,[status(thm)],[c154]) ).
cnf(c156,plain,
addition(domain(multiplication(X2,domain(X))),zero) = addition(domain(multiplication(X2,domain(X))),multiplication(antidomain(domain(multiplication(X2,domain(X)))),domain(multiplication(X2,X)))),
inference(congruence,[status(thm)],[c155]) ).
cnf(c157,plain,
antidomain(domain(multiplication(X2,domain(X)))) = antidomain(multiplication(X2,domain(X))),
inference(substitution,[status(thm)],[c56]) ).
cnf(c158,plain,
multiplication(antidomain(domain(multiplication(X2,domain(X)))),domain(multiplication(X2,X))) = multiplication(antidomain(multiplication(X2,domain(X))),domain(multiplication(X2,X))),
inference(congruence,[status(thm)],[c157]) ).
cnf(c159,plain,
addition(domain(multiplication(X2,domain(X))),multiplication(antidomain(domain(multiplication(X2,domain(X)))),domain(multiplication(X2,X)))) = addition(domain(multiplication(X2,domain(X))),multiplication(antidomain(multiplication(X2,domain(X))),domain(multiplication(X2,X)))),
inference(congruence,[status(thm)],[c158]) ).
cnf(c160,plain,
addition(X3,domain(multiplication(X2,domain(X)))) = addition(domain(multiplication(X2,domain(X))),X3),
inference(substitution,[status(thm)],[c19]) ).
cnf(c161,plain,
addition(domain(multiplication(X3,domain(X2))),X) = addition(X,domain(multiplication(X3,domain(X2)))),
inference(symmetry,[status(thm)],[c160]) ).
cnf(c162,plain,
multiplication(addition(domain(multiplication(X3,domain(X2))),X),domain(multiplication(X3,X2))) = multiplication(addition(X,domain(multiplication(X3,domain(X2)))),domain(multiplication(X3,X2))),
inference(congruence,[status(thm)],[c161]) ).
cnf(c163,plain,
addition(domain(multiplication(X2,domain(X))),X3) = addition(X3,domain(multiplication(X2,domain(X)))),
inference(substitution,[status(thm)],[c19]) ).
cnf(c164,plain,
addition(X3,domain(multiplication(X2,domain(X)))) = addition(domain(multiplication(X2,domain(X))),X3),
inference(symmetry,[status(thm)],[c163]) ).
cnf(c165,plain,
multiplication(addition(X3,domain(multiplication(X2,domain(X)))),domain(multiplication(X2,X))) = multiplication(addition(domain(multiplication(X2,domain(X))),X3),domain(multiplication(X2,X))),
inference(congruence,[status(thm)],[c164]) ).
cnf(c166,plain,
multiplication(addition(domain(multiplication(X2,domain(X))),X3),domain(multiplication(X2,X))) = addition(multiplication(domain(multiplication(X2,domain(X))),domain(multiplication(X2,X))),multiplication(X3,domain(multiplication(X2,X)))),
inference(substitution,[status(thm)],[c39]) ).
cnf(c167,plain,
domain(domain(X)) = antidomain(antidomain(domain(X))),
inference(substitution,[status(thm)],[c11]) ).
cnf(c168,plain,
antidomain(antidomain(domain(X))) = antidomain(antidomain(X)),
inference(congruence,[status(thm)],[c56]) ).
cnf(c169,plain,
domain(X) = antidomain(antidomain(X)),
inference(substitution,[status(thm)],[c11]) ).
cnf(c170,plain,
antidomain(antidomain(X)) = domain(X),
inference(symmetry,[status(thm)],[c169]) ).
cnf(c171,plain,
antidomain(antidomain(domain(X))) = domain(X),
inference(transitivity,[status(thm)],[c168,c170]) ).
cnf(c172,plain,
domain(domain(X)) = domain(X),
inference(transitivity,[status(thm)],[c167,c171]) ).
cnf(c173,plain,
domain(domain(multiplication(X2,domain(X)))) = domain(multiplication(X2,domain(X))),
inference(substitution,[status(thm)],[c172]) ).
cnf(c174,plain,
domain(multiplication(X2,domain(X))) = domain(domain(multiplication(X2,domain(X)))),
inference(symmetry,[status(thm)],[c173]) ).
cnf(c175,plain,
multiplication(domain(multiplication(X2,domain(X))),domain(multiplication(X2,X))) = multiplication(domain(domain(multiplication(X2,domain(X)))),domain(multiplication(X2,X))),
inference(congruence,[status(thm)],[c174]) ).
cnf(c176,plain,
domain(domain(multiplication(X2,domain(X)))) = antidomain(antidomain(domain(multiplication(X2,domain(X))))),
inference(substitution,[status(thm)],[c11]) ).
cnf(c177,plain,
multiplication(domain(domain(multiplication(X2,domain(X)))),domain(multiplication(X2,X))) = multiplication(antidomain(antidomain(domain(multiplication(X2,domain(X))))),domain(multiplication(X2,X))),
inference(congruence,[status(thm)],[c176]) ).
cnf(c178,plain,
addition(X2,X) = addition(X,X2),
inference(substitution,[status(thm)],[c19]) ).
cnf(c179,plain,
addition(X,X2) = addition(X2,X),
inference(symmetry,[status(thm)],[c178]) ).
cnf(c180,plain,
multiplication(antidomain(X2),addition(X,X2)) = multiplication(antidomain(X2),addition(X2,X)),
inference(congruence,[status(thm)],[c179]) ).
cnf(c181,plain,
multiplication(antidomain(X2),addition(X,X2)) = multiplication(antidomain(X2),X),
inference(transitivity,[status(thm)],[c180,c31]) ).
cnf(c182,plain,
multiplication(antidomain(antidomain(domain(multiplication(X2,domain(X))))),addition(domain(multiplication(X2,X)),antidomain(domain(multiplication(X2,domain(X)))))) = multiplication(antidomain(antidomain(domain(multiplication(X2,domain(X))))),domain(multiplication(X2,X))),
inference(substitution,[status(thm)],[c181]) ).
cnf(c183,plain,
multiplication(antidomain(antidomain(domain(multiplication(X2,domain(X))))),domain(multiplication(X2,X))) = multiplication(antidomain(antidomain(domain(multiplication(X2,domain(X))))),addition(domain(multiplication(X2,X)),antidomain(domain(multiplication(X2,domain(X)))))),
inference(symmetry,[status(thm)],[c182]) ).
cnf(c184,plain,
antidomain(domain(multiplication(X2,domain(X)))) = antidomain(multiplication(X2,domain(X))),
inference(substitution,[status(thm)],[c56]) ).
cnf(c185,plain,
addition(domain(multiplication(X2,X)),antidomain(domain(multiplication(X2,domain(X))))) = addition(domain(multiplication(X2,X)),antidomain(multiplication(X2,domain(X)))),
inference(congruence,[status(thm)],[c184]) ).
cnf(c186,plain,
addition(antidomain(multiplication(X2,X)),antidomain(multiplication(X2,domain(X)))) = addition(antidomain(multiplication(X2,domain(X))),antidomain(multiplication(X2,X))),
inference(substitution,[status(thm)],[c19]) ).
cnf(c187,plain,
addition(antidomain(multiplication(X2,domain(X))),antidomain(multiplication(X2,X))) = addition(antidomain(multiplication(X2,X)),antidomain(multiplication(X2,domain(X)))),
inference(symmetry,[status(thm)],[c186]) ).
cnf(c188,plain,
addition(antidomain(multiplication(X2,domain(X))),antidomain(multiplication(X2,X))) = antidomain(multiplication(X2,domain(X))),
inference(transitivity,[status(thm)],[c187,c71]) ).
cnf(c189,plain,
antidomain(multiplication(X2,domain(X))) = addition(antidomain(multiplication(X2,domain(X))),antidomain(multiplication(X2,X))),
inference(symmetry,[status(thm)],[c188]) ).
cnf(c190,plain,
addition(domain(multiplication(X2,X)),antidomain(multiplication(X2,domain(X)))) = addition(domain(multiplication(X2,X)),addition(antidomain(multiplication(X2,domain(X))),antidomain(multiplication(X2,X)))),
inference(congruence,[status(thm)],[c189]) ).
cnf(c191,plain,
addition(antidomain(X2),X) = addition(X,antidomain(X2)),
inference(substitution,[status(thm)],[c19]) ).
cnf(c192,plain,
addition(X,antidomain(X2)) = addition(antidomain(X2),X),
inference(symmetry,[status(thm)],[c191]) ).
cnf(c193,plain,
addition(domain(X2),addition(X,antidomain(X2))) = addition(domain(X2),addition(antidomain(X2),X)),
inference(congruence,[status(thm)],[c192]) ).
cnf(c194,plain,
addition(domain(X2),addition(antidomain(X2),X)) = addition(addition(domain(X2),antidomain(X2)),X),
inference(substitution,[status(thm)],[c123]) ).
cnf(c195,plain,
addition(addition(domain(X2),antidomain(X2)),X) = addition(one,X),
inference(congruence,[status(thm)],[c16]) ).
cnf(c196,plain,
addition(one,X) = addition(X,one),
inference(substitution,[status(thm)],[c19]) ).
cnf(c197,plain,
addition(addition(domain(X2),antidomain(X2)),X) = addition(X,one),
inference(transitivity,[status(thm)],[c195,c196]) ).
cnf(c198,plain,
addition(domain(X2),addition(antidomain(X2),X)) = addition(X,one),
inference(transitivity,[status(thm)],[c194,c197]) ).
cnf(c199,plain,
addition(domain(X2),addition(X,antidomain(X2))) = addition(X,one),
inference(transitivity,[status(thm)],[c193,c198]) ).
cnf(c200,plain,
addition(domain(multiplication(X2,X)),addition(antidomain(multiplication(X2,domain(X))),antidomain(multiplication(X2,X)))) = addition(antidomain(multiplication(X2,domain(X))),one),
inference(substitution,[status(thm)],[c199]) ).
cnf(c201,plain,
antidomain(domain(multiplication(X2,domain(X)))) = antidomain(multiplication(X2,domain(X))),
inference(substitution,[status(thm)],[c56]) ).
cnf(c202,plain,
antidomain(multiplication(X2,domain(X))) = antidomain(domain(multiplication(X2,domain(X)))),
inference(symmetry,[status(thm)],[c201]) ).
cnf(c203,plain,
addition(antidomain(multiplication(X2,domain(X))),one) = addition(antidomain(domain(multiplication(X2,domain(X)))),one),
inference(congruence,[status(thm)],[c202]) ).
cnf(c204,plain,
addition(antidomain(domain(multiplication(X2,domain(X)))),one) = addition(one,antidomain(domain(multiplication(X2,domain(X))))),
inference(substitution,[status(thm)],[c19]) ).
cnf(c205,plain,
addition(one,antidomain(domain(multiplication(X2,domain(X))))) = one,
inference(substitution,[status(thm)],[c144]) ).
cnf(c206,plain,
addition(antidomain(domain(multiplication(X2,domain(X)))),one) = one,
inference(transitivity,[status(thm)],[c204,c205]) ).
cnf(c207,plain,
addition(antidomain(multiplication(X2,domain(X))),one) = one,
inference(transitivity,[status(thm)],[c203,c206]) ).
cnf(c208,plain,
addition(domain(multiplication(X2,X)),addition(antidomain(multiplication(X2,domain(X))),antidomain(multiplication(X2,X)))) = one,
inference(transitivity,[status(thm)],[c200,c207]) ).
cnf(c209,plain,
addition(domain(multiplication(X2,X)),antidomain(multiplication(X2,domain(X)))) = one,
inference(transitivity,[status(thm)],[c190,c208]) ).
cnf(c210,plain,
addition(domain(multiplication(X2,X)),antidomain(domain(multiplication(X2,domain(X))))) = one,
inference(transitivity,[status(thm)],[c185,c209]) ).
cnf(c211,plain,
multiplication(antidomain(antidomain(domain(multiplication(X2,domain(X))))),addition(domain(multiplication(X2,X)),antidomain(domain(multiplication(X2,domain(X)))))) = multiplication(antidomain(antidomain(domain(multiplication(X2,domain(X))))),one),
inference(congruence,[status(thm)],[c210]) ).
cnf(c212,plain,
multiplication(antidomain(antidomain(domain(multiplication(X2,domain(X))))),one) = antidomain(antidomain(domain(multiplication(X2,domain(X))))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c213,plain,
domain(domain(multiplication(X2,domain(X)))) = antidomain(antidomain(domain(multiplication(X2,domain(X))))),
inference(substitution,[status(thm)],[c11]) ).
cnf(c214,plain,
antidomain(antidomain(domain(multiplication(X2,domain(X))))) = domain(domain(multiplication(X2,domain(X)))),
inference(symmetry,[status(thm)],[c213]) ).
cnf(c215,plain,
domain(domain(multiplication(X2,domain(X)))) = domain(multiplication(X2,domain(X))),
inference(substitution,[status(thm)],[c172]) ).
cnf(c216,plain,
antidomain(antidomain(domain(multiplication(X2,domain(X))))) = domain(multiplication(X2,domain(X))),
inference(transitivity,[status(thm)],[c214,c215]) ).
cnf(c217,plain,
multiplication(antidomain(antidomain(domain(multiplication(X2,domain(X))))),one) = domain(multiplication(X2,domain(X))),
inference(transitivity,[status(thm)],[c212,c216]) ).
cnf(c218,plain,
multiplication(antidomain(antidomain(domain(multiplication(X2,domain(X))))),addition(domain(multiplication(X2,X)),antidomain(domain(multiplication(X2,domain(X)))))) = domain(multiplication(X2,domain(X))),
inference(transitivity,[status(thm)],[c211,c217]) ).
cnf(c219,plain,
multiplication(antidomain(antidomain(domain(multiplication(X2,domain(X))))),domain(multiplication(X2,X))) = domain(multiplication(X2,domain(X))),
inference(transitivity,[status(thm)],[c183,c218]) ).
cnf(c220,plain,
multiplication(domain(domain(multiplication(X2,domain(X)))),domain(multiplication(X2,X))) = domain(multiplication(X2,domain(X))),
inference(transitivity,[status(thm)],[c177,c219]) ).
cnf(c221,plain,
multiplication(domain(multiplication(X2,domain(X))),domain(multiplication(X2,X))) = domain(multiplication(X2,domain(X))),
inference(transitivity,[status(thm)],[c175,c220]) ).
cnf(c222,plain,
addition(multiplication(domain(multiplication(X2,domain(X))),domain(multiplication(X2,X))),multiplication(X3,domain(multiplication(X2,X)))) = addition(domain(multiplication(X2,domain(X))),multiplication(X3,domain(multiplication(X2,X)))),
inference(congruence,[status(thm)],[c221]) ).
cnf(c223,plain,
multiplication(addition(domain(multiplication(X2,domain(X))),X3),domain(multiplication(X2,X))) = addition(domain(multiplication(X2,domain(X))),multiplication(X3,domain(multiplication(X2,X)))),
inference(transitivity,[status(thm)],[c166,c222]) ).
cnf(c224,plain,
multiplication(addition(X3,domain(multiplication(X2,domain(X)))),domain(multiplication(X2,X))) = addition(domain(multiplication(X2,domain(X))),multiplication(X3,domain(multiplication(X2,X)))),
inference(transitivity,[status(thm)],[c165,c223]) ).
cnf(c225,plain,
multiplication(addition(X,domain(multiplication(X3,domain(X2)))),domain(multiplication(X3,X2))) = addition(domain(multiplication(X3,domain(X2))),multiplication(X,domain(multiplication(X3,X2)))),
inference(substitution,[status(thm)],[c224]) ).
cnf(c226,plain,
multiplication(addition(domain(multiplication(X3,domain(X2))),X),domain(multiplication(X3,X2))) = addition(domain(multiplication(X3,domain(X2))),multiplication(X,domain(multiplication(X3,X2)))),
inference(transitivity,[status(thm)],[c162,c225]) ).
cnf(c227,plain,
multiplication(addition(domain(multiplication(X2,domain(X))),antidomain(multiplication(X2,domain(X)))),domain(multiplication(X2,X))) = addition(domain(multiplication(X2,domain(X))),multiplication(antidomain(multiplication(X2,domain(X))),domain(multiplication(X2,X)))),
inference(substitution,[status(thm)],[c226]) ).
cnf(c228,plain,
addition(domain(multiplication(X2,domain(X))),multiplication(antidomain(multiplication(X2,domain(X))),domain(multiplication(X2,X)))) = multiplication(addition(domain(multiplication(X2,domain(X))),antidomain(multiplication(X2,domain(X)))),domain(multiplication(X2,X))),
inference(symmetry,[status(thm)],[c227]) ).
cnf(c229,plain,
addition(domain(multiplication(X2,domain(X))),antidomain(multiplication(X2,domain(X)))) = one,
inference(substitution,[status(thm)],[c16]) ).
cnf(c230,plain,
multiplication(addition(domain(multiplication(X2,domain(X))),antidomain(multiplication(X2,domain(X)))),domain(multiplication(X2,X))) = multiplication(one,domain(multiplication(X2,X))),
inference(congruence,[status(thm)],[c229]) ).
cnf(c231,plain,
multiplication(one,domain(multiplication(X2,X))) = domain(multiplication(X2,X)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c232,plain,
multiplication(addition(domain(multiplication(X2,domain(X))),antidomain(multiplication(X2,domain(X)))),domain(multiplication(X2,X))) = domain(multiplication(X2,X)),
inference(transitivity,[status(thm)],[c230,c231]) ).
cnf(c233,plain,
addition(domain(multiplication(X2,domain(X))),multiplication(antidomain(multiplication(X2,domain(X))),domain(multiplication(X2,X)))) = domain(multiplication(X2,X)),
inference(transitivity,[status(thm)],[c228,c232]) ).
cnf(c234,plain,
addition(domain(multiplication(X2,domain(X))),multiplication(antidomain(domain(multiplication(X2,domain(X)))),domain(multiplication(X2,X)))) = domain(multiplication(X2,X)),
inference(transitivity,[status(thm)],[c159,c233]) ).
cnf(c235,plain,
addition(domain(multiplication(X2,domain(X))),zero) = domain(multiplication(X2,X)),
inference(transitivity,[status(thm)],[c156,c234]) ).
cnf(c236,plain,
domain(multiplication(X2,domain(X))) = domain(multiplication(X2,X)),
inference(transitivity,[status(thm)],[c4,c235]) ).
cnf(c237,plain,
domain(multiplication(sK2_goals_X0,domain(sK1_goals_X1))) = domain(multiplication(sK2_goals_X0,sK1_goals_X1)),
inference(substitution,[status(thm)],[c236]) ).
cnf(c238,plain,
domain(multiplication(sK2_goals_X0,sK1_goals_X1)) = domain(multiplication(sK2_goals_X0,domain(sK1_goals_X1))),
inference(symmetry,[status(thm)],[c237]) ).
cnf(c239,plain,
$false,
inference(resolution,[status(thm)],[c1,c238]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE084-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n017.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 : Sun Sep 27 13:04:50 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.12/0.36 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.87/0.93 Command-line arguments: --flatten --complete-subsets
% 3.87/0.93
% 3.87/0.93 % SZS status Unsatisfiable
% 3.87/0.93
% 3.87/0.94 % SZS output start CNFRefutation
% See solution above
% 4.93/1.06
% 4.93/1.06 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------