%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : REL027-3 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:04:22 PM UTC 2026
% Result : Unsatisfiable 47.98s 28.74s
% Output : CNFRefutation 48.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 18
% Syntax : Number of clauses : 209 ( 209 unt; 0 nHn; 40 RR)
% Number of literals : 209 ( 208 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 303 ( 33 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(converse_multiplicativity_10,axiom,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_multiplicativity_10) ).
cnf(converse_idempotence_8,axiom,
converse(converse(X1)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).
cnf(composition_identity_6,axiom,
composition(X1,one) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_identity_6) ).
cnf(maddux2_join_associativity_2,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux2_join_associativity_2) ).
cnf(def_top_12,axiom,
top = join(X1,complement(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_top_12) ).
cnf(converse_cancellativity_11,axiom,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_cancellativity_11) ).
cnf(maddux1_join_commutativity_1,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux1_join_commutativity_1) ).
cnf(maddux3_a_kind_of_de_Morgan_3,axiom,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux3_a_kind_of_de_Morgan_3) ).
cnf(maddux4_definiton_of_meet_4,axiom,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux4_definiton_of_meet_4) ).
cnf(def_zero_13,axiom,
zero = meet(X1,complement(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_zero_13) ).
cnf(converse_additivity_9,axiom,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).
cnf(goals_17,negated_conjecture,
join(sk1,one) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_17) ).
cnf(composition_distributivity_7,axiom,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_distributivity_7) ).
cnf(modular_law_1_15,axiom,
join(meet(composition(X1,X2),X3),meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3)) = meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-1.ax',modular_law_1_15) ).
cnf(modular_law_2_16,axiom,
join(meet(composition(X1,X2),X3),meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3)) = meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-1.ax',modular_law_2_16) ).
cnf(dedekind_law_14,axiom,
join(meet(composition(X1,X2),X3),composition(meet(X1,composition(X3,converse(X2))),meet(X2,composition(converse(X1),X3)))) = composition(meet(X1,composition(X3,converse(X2))),meet(X2,composition(converse(X1),X3))),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-1.ax',dedekind_law_14) ).
cnf(composition_associativity_5,axiom,
composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_associativity_5) ).
cnf(goals_18,negated_conjecture,
meet(complement(composition(sk1,top)),one) != meet(complement(sk1),one),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_18) ).
cnf(c_0_18,axiom,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
converse_multiplicativity_10 ).
cnf(c_0_19,axiom,
converse(converse(X1)) = X1,
converse_idempotence_8 ).
cnf(c_0_20,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,axiom,
composition(X1,one) = X1,
composition_identity_6 ).
cnf(c_0_22,plain,
composition(converse(one),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_19]) ).
cnf(c_0_23,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
maddux2_join_associativity_2 ).
cnf(c_0_24,axiom,
top = join(X1,complement(X1)),
def_top_12 ).
cnf(c_0_25,axiom,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
converse_cancellativity_11 ).
cnf(c_0_26,axiom,
join(X1,X2) = join(X2,X1),
maddux1_join_commutativity_1 ).
cnf(c_0_27,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_28,plain,
join(X1,join(complement(X1),X2)) = join(top,X2),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_22,c_0_27]) ).
cnf(c_0_31,plain,
join(X1,join(X2,complement(X1))) = join(top,X2),
inference(spm,[status(thm)],[c_0_28,c_0_26]) ).
cnf(c_0_32,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_27]),c_0_30]) ).
cnf(c_0_33,axiom,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
maddux3_a_kind_of_de_Morgan_3 ).
cnf(c_0_34,axiom,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
maddux4_definiton_of_meet_4 ).
cnf(c_0_35,plain,
join(top,complement(complement(X1))) = join(X1,top),
inference(spm,[status(thm)],[c_0_28,c_0_24]) ).
cnf(c_0_36,plain,
join(top,complement(X1)) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_24]) ).
cnf(c_0_37,axiom,
zero = meet(X1,complement(X1)),
def_zero_13 ).
cnf(c_0_38,plain,
join(meet(X1,X2),complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,plain,
join(X1,top) = top,
inference(rw,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,plain,
complement(top) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_24]),c_0_37]) ).
cnf(c_0_41,plain,
join(zero,meet(X1,top)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_26]) ).
cnf(c_0_42,plain,
meet(X1,X2) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_26]),c_0_34]) ).
cnf(c_0_43,plain,
complement(join(zero,complement(X1))) = meet(top,X1),
inference(spm,[status(thm)],[c_0_34,c_0_40]) ).
cnf(c_0_44,plain,
join(zero,complement(complement(X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_32]),c_0_37]) ).
cnf(c_0_45,plain,
join(zero,meet(top,X1)) = X1,
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_46,plain,
meet(top,complement(X1)) = complement(X1),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_47,plain,
complement(complement(X1)) = meet(X1,X1),
inference(spm,[status(thm)],[c_0_34,c_0_32]) ).
cnf(c_0_48,plain,
join(zero,complement(X1)) = complement(X1),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_49,plain,
join(top,X1) = top,
inference(spm,[status(thm)],[c_0_26,c_0_39]) ).
cnf(c_0_50,plain,
join(zero,meet(X1,X1)) = X1,
inference(spm,[status(thm)],[c_0_44,c_0_47]) ).
cnf(c_0_51,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[c_0_44,c_0_48]) ).
cnf(c_0_52,plain,
join(X1,join(X2,complement(X1))) = top,
inference(rw,[status(thm)],[c_0_31,c_0_49]) ).
cnf(c_0_53,plain,
meet(X1,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_47]),c_0_50]) ).
cnf(c_0_54,plain,
complement(join(X1,complement(X2))) = meet(complement(X1),X2),
inference(spm,[status(thm)],[c_0_34,c_0_51]) ).
cnf(c_0_55,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_32,c_0_51]) ).
cnf(c_0_56,plain,
join(complement(X1),join(X2,X1)) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_38]),c_0_23]) ).
cnf(c_0_57,plain,
join(X1,zero) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_53]),c_0_26]),c_0_24]),c_0_40]) ).
cnf(c_0_58,plain,
complement(meet(complement(X1),X2)) = join(X1,complement(X2)),
inference(spm,[status(thm)],[c_0_51,c_0_54]) ).
cnf(c_0_59,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_23,c_0_55]) ).
cnf(c_0_60,plain,
meet(X1,join(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_56]),c_0_40]),c_0_57]) ).
cnf(c_0_61,plain,
complement(join(X1,join(X2,complement(X3)))) = meet(complement(join(X1,X2)),X3),
inference(spm,[status(thm)],[c_0_54,c_0_23]) ).
cnf(c_0_62,plain,
join(complement(X1),complement(X2)) = complement(meet(X1,X2)),
inference(spm,[status(thm)],[c_0_58,c_0_51]) ).
cnf(c_0_63,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_26]),c_0_23]) ).
cnf(c_0_64,plain,
join(X1,meet(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_38]),c_0_26]) ).
cnf(c_0_65,plain,
complement(join(complement(X1),X2)) = meet(complement(X2),X1),
inference(spm,[status(thm)],[c_0_54,c_0_26]) ).
cnf(c_0_66,axiom,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
converse_additivity_9 ).
cnf(c_0_67,plain,
meet(X1,join(X2,join(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_60,c_0_23]) ).
cnf(c_0_68,plain,
meet(meet(complement(X1),X2),X3) = meet(complement(X1),meet(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_54]),c_0_54]) ).
cnf(c_0_69,plain,
join(X1,join(X2,meet(X1,X3))) = join(X2,X1),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_70,plain,
join(meet(X1,X2),meet(complement(X2),X1)) = X1,
inference(rw,[status(thm)],[c_0_38,c_0_65]) ).
cnf(c_0_71,negated_conjecture,
join(sk1,one) = one,
goals_17 ).
cnf(c_0_72,plain,
join(X1,meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_64,c_0_42]) ).
cnf(c_0_73,plain,
converse(join(converse(X1),X2)) = join(X1,converse(X2)),
inference(spm,[status(thm)],[c_0_66,c_0_19]) ).
cnf(c_0_74,plain,
meet(meet(X1,X2),join(X3,X1)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_67,c_0_64]) ).
cnf(c_0_75,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(spm,[status(thm)],[c_0_68,c_0_51]) ).
cnf(c_0_76,plain,
join(complement(X1),meet(X2,X1)) = join(complement(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_26]) ).
cnf(c_0_77,negated_conjecture,
join(one,sk1) = one,
inference(rw,[status(thm)],[c_0_71,c_0_26]) ).
cnf(c_0_78,axiom,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
composition_distributivity_7 ).
cnf(c_0_79,plain,
join(X1,join(meet(X2,X1),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_23,c_0_72]) ).
cnf(c_0_80,plain,
join(X1,converse(complement(converse(X1)))) = converse(top),
inference(spm,[status(thm)],[c_0_73,c_0_24]) ).
cnf(c_0_81,plain,
meet(X1,meet(X2,join(X3,X1))) = meet(X1,X2),
inference(rw,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_82,plain,
meet(X1,complement(meet(X2,X1))) = meet(complement(X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_76]),c_0_65]),c_0_42]) ).
cnf(c_0_83,negated_conjecture,
join(one,join(sk1,X1)) = join(one,X1),
inference(spm,[status(thm)],[c_0_23,c_0_77]) ).
cnf(c_0_84,plain,
join(X1,composition(X2,X1)) = composition(join(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_30]),c_0_26]) ).
cnf(c_0_85,plain,
meet(complement(X1),complement(X2)) = complement(join(X1,X2)),
inference(spm,[status(thm)],[c_0_54,c_0_51]) ).
cnf(c_0_86,plain,
join(X1,meet(complement(X1),X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_79,c_0_70]) ).
cnf(c_0_87,plain,
converse(top) = top,
inference(spm,[status(thm)],[c_0_80,c_0_49]) ).
cnf(c_0_88,negated_conjecture,
meet(sk1,meet(X1,one)) = meet(sk1,X1),
inference(spm,[status(thm)],[c_0_81,c_0_77]) ).
cnf(c_0_89,plain,
meet(X1,join(X2,complement(X1))) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_58]),c_0_51]) ).
cnf(c_0_90,negated_conjecture,
join(one,complement(sk1)) = join(one,top),
inference(spm,[status(thm)],[c_0_83,c_0_24]) ).
cnf(c_0_91,plain,
composition(join(X1,one),top) = top,
inference(spm,[status(thm)],[c_0_84,c_0_49]) ).
cnf(c_0_92,plain,
join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_85]),c_0_51]),c_0_51]) ).
cnf(c_0_93,plain,
join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
inference(spm,[status(thm)],[c_0_86,c_0_85]) ).
cnf(c_0_94,plain,
join(X1,converse(complement(converse(X1)))) = top,
inference(rw,[status(thm)],[c_0_80,c_0_87]) ).
cnf(c_0_95,negated_conjecture,
meet(sk1,meet(one,X1)) = meet(sk1,X1),
inference(spm,[status(thm)],[c_0_88,c_0_42]) ).
cnf(c_0_96,plain,
meet(X1,join(complement(X1),X2)) = meet(X2,X1),
inference(spm,[status(thm)],[c_0_89,c_0_26]) ).
cnf(c_0_97,negated_conjecture,
join(one,complement(sk1)) = top,
inference(rw,[status(thm)],[c_0_90,c_0_39]) ).
cnf(c_0_98,plain,
composition(top,top) = top,
inference(spm,[status(thm)],[c_0_91,c_0_49]) ).
cnf(c_0_99,plain,
meet(join(X1,X2),join(X2,complement(X1))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_92]),c_0_60]) ).
cnf(c_0_100,plain,
join(X1,complement(converse(complement(converse(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_40]),c_0_57]) ).
cnf(c_0_101,axiom,
join(meet(composition(X1,X2),X3),meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3)) = meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3),
modular_law_1_15 ).
cnf(c_0_102,negated_conjecture,
meet(sk1,join(complement(one),X1)) = meet(sk1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_88]) ).
cnf(c_0_103,negated_conjecture,
meet(sk1,complement(one)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_97]),c_0_40]),c_0_42]) ).
cnf(c_0_104,plain,
composition(top,zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_98]),c_0_40]),c_0_87]),c_0_40]),c_0_84]),c_0_26]),c_0_39]),c_0_40]) ).
cnf(c_0_105,plain,
complement(zero) = top,
inference(spm,[status(thm)],[c_0_24,c_0_48]) ).
cnf(c_0_106,plain,
meet(join(X1,X2),join(complement(X1),X2)) = X2,
inference(spm,[status(thm)],[c_0_99,c_0_26]) ).
cnf(c_0_107,plain,
join(X1,converse(complement(converse(complement(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_100]),c_0_19]),c_0_19]) ).
cnf(c_0_108,plain,
meet(top,X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_48]),c_0_51]) ).
cnf(c_0_109,plain,
converse(join(X1,converse(X2))) = join(converse(X1),X2),
inference(spm,[status(thm)],[c_0_66,c_0_19]) ).
cnf(c_0_110,plain,
join(zero,X1) = X1,
inference(rw,[status(thm)],[c_0_50,c_0_53]) ).
cnf(c_0_111,plain,
join(one,converse(X1)) = converse(join(one,X1)),
inference(spm,[status(thm)],[c_0_66,c_0_27]) ).
cnf(c_0_112,plain,
join(meet(composition(X1,X2),X3),meet(X3,composition(X1,meet(X2,composition(converse(X1),X3))))) = meet(X3,composition(X1,meet(X2,composition(converse(X1),X3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_42]),c_0_42]) ).
cnf(c_0_113,negated_conjecture,
meet(sk1,composition(converse(X1),complement(X1))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_29]),c_0_103]),c_0_21]) ).
cnf(c_0_114,plain,
composition(X1,zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_104]),c_0_39]),c_0_104]),c_0_57]) ).
cnf(c_0_115,plain,
meet(X1,zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_105]),c_0_39]),c_0_40]) ).
cnf(c_0_116,plain,
converse(complement(converse(X1))) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_51]),c_0_94]),c_0_108]),c_0_51]) ).
cnf(c_0_117,plain,
join(converse(zero),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_19]) ).
cnf(c_0_118,plain,
join(converse(join(one,X1)),X2) = join(one,join(converse(X1),X2)),
inference(spm,[status(thm)],[c_0_23,c_0_111]) ).
cnf(c_0_119,plain,
join(X1,join(meet(X1,X2),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_23,c_0_64]) ).
cnf(c_0_120,plain,
join(meet(X1,X2),meet(X2,complement(X1))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_51]),c_0_26]) ).
cnf(c_0_121,negated_conjecture,
meet(complement(X1),composition(X1,sk1)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114]),c_0_115]),c_0_57]),c_0_114]),c_0_115]),c_0_42]) ).
cnf(c_0_122,axiom,
join(meet(composition(X1,X2),X3),meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3)) = meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3),
modular_law_2_16 ).
cnf(c_0_123,plain,
complement(converse(X1)) = converse(complement(X1)),
inference(spm,[status(thm)],[c_0_19,c_0_116]) ).
cnf(c_0_124,plain,
converse(zero) = zero,
inference(spm,[status(thm)],[c_0_57,c_0_117]) ).
cnf(c_0_125,negated_conjecture,
join(one,join(converse(sk1),X1)) = join(one,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_77]),c_0_27]) ).
cnf(c_0_126,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_59,c_0_26]) ).
cnf(c_0_127,plain,
join(X1,meet(X2,meet(X1,X3))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_72]),c_0_64]) ).
cnf(c_0_128,negated_conjecture,
meet(X1,composition(X1,sk1)) = composition(X1,sk1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_51]),c_0_110]),c_0_42]) ).
cnf(c_0_129,plain,
join(meet(composition(X1,X2),X3),meet(X3,composition(meet(X1,composition(X3,converse(X2))),X2))) = meet(X3,composition(meet(X1,composition(X3,converse(X2))),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_42]),c_0_42]) ).
cnf(c_0_130,negated_conjecture,
meet(sk1,composition(X1,converse(complement(X1)))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_123]),c_0_19]) ).
cnf(c_0_131,plain,
composition(zero,X1) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_114]),c_0_124]),c_0_124]) ).
cnf(c_0_132,negated_conjecture,
join(one,meet(converse(sk1),X1)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_64]),c_0_111]),c_0_77]),c_0_27]) ).
cnf(c_0_133,plain,
converse(composition(X1,converse(X2))) = composition(X2,converse(X1)),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_134,plain,
join(X1,complement(meet(X2,X1))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_72]),c_0_26]) ).
cnf(c_0_135,plain,
meet(X1,join(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_60,c_0_26]) ).
cnf(c_0_136,negated_conjecture,
join(sk1,join(one,X1)) = join(one,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_83]),c_0_23]),c_0_126]) ).
cnf(c_0_137,negated_conjecture,
join(X1,meet(X2,composition(X1,sk1))) = X1,
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_138,plain,
join(meet(X1,X2),meet(complement(X1),X2)) = X2,
inference(spm,[status(thm)],[c_0_70,c_0_42]) ).
cnf(c_0_139,negated_conjecture,
meet(X1,composition(sk1,complement(X1))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131]),c_0_115]),c_0_57]),c_0_131]),c_0_115]),c_0_42]) ).
cnf(c_0_140,negated_conjecture,
join(one,composition(converse(sk1),sk1)) = one,
inference(spm,[status(thm)],[c_0_132,c_0_128]) ).
cnf(c_0_141,plain,
join(X1,composition(X1,converse(X2))) = composition(X1,converse(join(X2,one))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_84]),c_0_133]),c_0_133]) ).
cnf(c_0_142,plain,
meet(complement(X1),meet(X2,X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_134]),c_0_40]) ).
cnf(c_0_143,negated_conjecture,
meet(sk1,join(one,X1)) = sk1,
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_144,negated_conjecture,
join(X1,meet(composition(X1,sk1),X2)) = X1,
inference(spm,[status(thm)],[c_0_137,c_0_42]) ).
cnf(c_0_145,negated_conjecture,
meet(X1,composition(sk1,X1)) = composition(sk1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_51]),c_0_57]),c_0_51]) ).
cnf(c_0_146,axiom,
join(meet(composition(X1,X2),X3),composition(meet(X1,composition(X3,converse(X2))),meet(X2,composition(converse(X1),X3)))) = composition(meet(X1,composition(X3,converse(X2))),meet(X2,composition(converse(X1),X3))),
dedekind_law_14 ).
cnf(c_0_147,negated_conjecture,
meet(one,composition(converse(sk1),sk1)) = composition(converse(sk1),sk1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_140]),c_0_89]),c_0_42]) ).
cnf(c_0_148,plain,
join(X1,composition(X1,X2)) = composition(X1,join(X2,one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_19]),c_0_73]),c_0_27]) ).
cnf(c_0_149,negated_conjecture,
meet(sk1,complement(join(one,X1))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_42]) ).
cnf(c_0_150,negated_conjecture,
join(X1,composition(sk1,composition(X1,sk1))) = X1,
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_151,negated_conjecture,
composition(sk1,composition(converse(sk1),sk1)) = sk1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_21]),c_0_53]),c_0_27]),c_0_21]),c_0_53]),c_0_148]),c_0_26]),c_0_140]),c_0_21]),c_0_27]),c_0_21]),c_0_53]) ).
cnf(c_0_152,plain,
join(one,complement(converse(complement(one)))) = one,
inference(spm,[status(thm)],[c_0_100,c_0_27]) ).
cnf(c_0_153,plain,
meet(join(X1,X2),join(X1,join(X2,X3))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_135,c_0_23]) ).
cnf(c_0_154,negated_conjecture,
meet(sk1,meet(complement(one),X1)) = zero,
inference(spm,[status(thm)],[c_0_149,c_0_54]) ).
cnf(c_0_155,negated_conjecture,
join(sk1,converse(sk1)) = converse(sk1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_26]) ).
cnf(c_0_156,plain,
join(X1,converse(meet(X2,converse(X1)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_72]),c_0_19]) ).
cnf(c_0_157,plain,
meet(complement(one),converse(complement(one))) = complement(one),
inference(spm,[status(thm)],[c_0_54,c_0_152]) ).
cnf(c_0_158,plain,
meet(X1,meet(X2,X3)) = meet(X2,meet(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_42]),c_0_75]) ).
cnf(c_0_159,plain,
meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_86]),c_0_65]),c_0_51]),c_0_42]) ).
cnf(c_0_160,plain,
meet(join(X1,X2),join(X2,X1)) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_55]),c_0_23]),c_0_126]),c_0_23]),c_0_126]) ).
cnf(c_0_161,plain,
meet(complement(X1),join(X1,X2)) = meet(X2,complement(X1)),
inference(spm,[status(thm)],[c_0_96,c_0_51]) ).
cnf(c_0_162,plain,
join(complement(X1),join(meet(X2,X1),X3)) = join(complement(X1),join(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_76]),c_0_23]) ).
cnf(c_0_163,negated_conjecture,
join(X1,join(composition(X1,sk1),X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_119,c_0_128]) ).
cnf(c_0_164,plain,
join(complement(X1),meet(X1,X2)) = join(complement(X1),X2),
inference(spm,[status(thm)],[c_0_76,c_0_42]) ).
cnf(c_0_165,negated_conjecture,
meet(sk1,composition(complement(one),sk1)) = zero,
inference(spm,[status(thm)],[c_0_154,c_0_128]) ).
cnf(c_0_166,negated_conjecture,
converse(sk1) = sk1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_155]),c_0_19]),c_0_26]),c_0_155]) ).
cnf(c_0_167,plain,
join(complement(one),converse(complement(one))) = complement(one),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_168,plain,
meet(X1,top) = X1,
inference(spm,[status(thm)],[c_0_42,c_0_108]) ).
cnf(c_0_169,plain,
meet(X1,meet(X2,complement(meet(X1,X3)))) = meet(X2,meet(complement(X3),X1)),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_170,plain,
meet(join(X1,X2),complement(join(X2,X1))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_37]),c_0_42]) ).
cnf(c_0_171,plain,
meet(X1,join(meet(X2,X1),X3)) = meet(join(X2,X3),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_51]),c_0_96]),c_0_51]),c_0_42]) ).
cnf(c_0_172,negated_conjecture,
join(X1,composition(join(X1,X2),sk1)) = join(X1,composition(X2,sk1)),
inference(spm,[status(thm)],[c_0_163,c_0_78]) ).
cnf(c_0_173,negated_conjecture,
join(X1,complement(composition(X1,sk1))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_121]),c_0_105]) ).
cnf(c_0_174,plain,
composition(converse(X1),top) = converse(composition(top,X1)),
inference(spm,[status(thm)],[c_0_20,c_0_87]) ).
cnf(c_0_175,negated_conjecture,
join(complement(sk1),composition(complement(one),sk1)) = complement(sk1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_57]) ).
cnf(c_0_176,negated_conjecture,
composition(sk1,composition(sk1,sk1)) = sk1,
inference(rw,[status(thm)],[c_0_151,c_0_166]) ).
cnf(c_0_177,plain,
converse(complement(one)) = complement(one),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_167]),c_0_51]),c_0_26]),c_0_111]),c_0_24]),c_0_87]),c_0_168]) ).
cnf(c_0_178,plain,
meet(join(X1,X2),X3) = meet(X3,join(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_105]),c_0_168]),c_0_51]),c_0_160]) ).
cnf(c_0_179,plain,
meet(X1,join(meet(X1,X2),X3)) = meet(join(X2,X3),X1),
inference(spm,[status(thm)],[c_0_171,c_0_42]) ).
cnf(c_0_180,plain,
join(X1,join(X2,meet(X3,X1))) = join(X2,X1),
inference(spm,[status(thm)],[c_0_63,c_0_72]) ).
cnf(c_0_181,negated_conjecture,
join(X1,composition(complement(X1),sk1)) = join(X1,composition(top,sk1)),
inference(spm,[status(thm)],[c_0_172,c_0_24]) ).
cnf(c_0_182,negated_conjecture,
join(X1,complement(composition(complement(X1),sk1))) = complement(composition(complement(X1),sk1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_173]),c_0_168]) ).
cnf(c_0_183,negated_conjecture,
converse(composition(top,sk1)) = composition(sk1,top),
inference(spm,[status(thm)],[c_0_174,c_0_166]) ).
cnf(c_0_184,negated_conjecture,
composition(sk1,converse(X1)) = converse(composition(X1,sk1)),
inference(spm,[status(thm)],[c_0_18,c_0_166]) ).
cnf(c_0_185,negated_conjecture,
converse(complement(sk1)) = complement(sk1),
inference(spm,[status(thm)],[c_0_123,c_0_166]) ).
cnf(c_0_186,plain,
join(meet(composition(X1,converse(X2)),X3),meet(X3,composition(meet(X1,composition(X3,X2)),converse(X2)))) = meet(X3,composition(meet(X1,composition(X3,X2)),converse(X2))),
inference(spm,[status(thm)],[c_0_129,c_0_19]) ).
cnf(c_0_187,negated_conjecture,
meet(complement(sk1),composition(top,sk1)) = composition(complement(one),sk1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_175]),c_0_51]),c_0_84]),c_0_26]),c_0_24]) ).
cnf(c_0_188,axiom,
composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
composition_associativity_5 ).
cnf(c_0_189,negated_conjecture,
composition(sk1,sk1) = sk1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_176]),c_0_42]),c_0_145]) ).
cnf(c_0_190,negated_conjecture,
meet(one,sk1) = sk1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_103]),c_0_54]),c_0_51]),c_0_110]),c_0_42]) ).
cnf(c_0_191,plain,
composition(converse(X1),complement(one)) = converse(composition(complement(one),X1)),
inference(spm,[status(thm)],[c_0_20,c_0_177]) ).
cnf(c_0_192,plain,
meet(join(X1,X2),join(X2,meet(X1,X3))) = join(meet(X1,X3),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_119]),c_0_178]) ).
cnf(c_0_193,plain,
meet(X1,join(X2,meet(X1,X3))) = meet(join(X2,X3),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_126]),c_0_180]) ).
cnf(c_0_194,negated_conjecture,
join(X1,complement(composition(top,sk1))) = complement(composition(complement(X1),sk1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_181]),c_0_93]),c_0_182]) ).
cnf(c_0_195,negated_conjecture,
composition(converse(X1),sk1) = converse(composition(sk1,X1)),
inference(spm,[status(thm)],[c_0_20,c_0_166]) ).
cnf(c_0_196,negated_conjecture,
converse(complement(composition(top,sk1))) = complement(composition(sk1,top)),
inference(spm,[status(thm)],[c_0_123,c_0_183]) ).
cnf(c_0_197,negated_conjecture,
converse(composition(complement(sk1),sk1)) = composition(sk1,complement(sk1)),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_198,negated_conjecture,
composition(complement(sk1),sk1) = composition(complement(one),sk1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_166]),c_0_168]),c_0_166]),c_0_188]),c_0_189]),c_0_108]),c_0_78]),c_0_62]),c_0_42]),c_0_190]),c_0_166]),c_0_188]),c_0_189]),c_0_108]) ).
cnf(c_0_199,negated_conjecture,
converse(composition(complement(one),sk1)) = composition(sk1,complement(one)),
inference(spm,[status(thm)],[c_0_191,c_0_166]) ).
cnf(c_0_200,negated_conjecture,
meet(one,join(sk1,X1)) = join(sk1,meet(one,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_77]),c_0_193]),c_0_42]),c_0_26]) ).
cnf(c_0_201,negated_conjecture,
join(X1,complement(composition(sk1,top))) = complement(composition(sk1,complement(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_194]),c_0_123]),c_0_195]),c_0_123]),c_0_19]),c_0_196]) ).
cnf(c_0_202,negated_conjecture,
composition(sk1,complement(sk1)) = composition(sk1,complement(one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_197,c_0_198]),c_0_199]) ).
cnf(c_0_203,negated_conjecture,
meet(X1,complement(composition(sk1,complement(X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_139]),c_0_110]),c_0_42]) ).
cnf(c_0_204,negated_conjecture,
meet(complement(composition(sk1,top)),one) != meet(complement(sk1),one),
goals_18 ).
cnf(c_0_205,negated_conjecture,
join(sk1,meet(one,complement(composition(sk1,top)))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_202]),c_0_203]) ).
cnf(c_0_206,plain,
meet(X1,composition(X1,top)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_98]),c_0_108]),c_0_87]),c_0_108]),c_0_188]),c_0_98]),c_0_64]),c_0_87]),c_0_108]),c_0_188]),c_0_98]) ).
cnf(c_0_207,negated_conjecture,
meet(one,complement(composition(sk1,top))) != meet(one,complement(sk1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_42]),c_0_42]) ).
cnf(c_0_208,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_205]),c_0_179]),c_0_62]),c_0_42]),c_0_206]),c_0_42]),c_0_207]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : REL027-3 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n023.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 01:43:08 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 47.98/28.74 % Version : CSE_E---1.7
% 47.98/28.74 % Problem : theBenchmark.p
% 47.98/28.74 % SZS status Unsatisfiable for theBenchmark.p
% 47.98/28.74 % SZS output start CNFRefutation
% See solution above
% 48.19/28.94 % Total time : 21.416s
%------------------------------------------------------------------------------