TSTP Solution File: REL028-2 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : REL028-2 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n032.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 21 02:31:42 EDT 2024
% Result : Unsatisfiable 2.02s 0.70s
% Output : CNFRefutation 2.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 17
% Syntax : Number of clauses : 116 ( 116 unt; 0 nHn; 41 RR)
% Number of literals : 116 ( 115 equ; 4 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 : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 128 ( 6 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(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(def_zero_13,axiom,
zero = meet(X1,complement(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_zero_13) ).
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_top_12,axiom,
top = join(X1,complement(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_top_12) ).
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(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(goals_18,negated_conjecture,
join(sk2,one) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_18) ).
cnf(goals_17,negated_conjecture,
join(sk1,one) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_17) ).
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(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_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(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_19,negated_conjecture,
composition(sk1,sk2) != meet(sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_19) ).
cnf(c_0_17,axiom,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
converse_multiplicativity_10 ).
cnf(c_0_18,axiom,
converse(converse(X1)) = X1,
converse_idempotence_8 ).
cnf(c_0_19,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,axiom,
composition(X1,one) = X1,
composition_identity_6 ).
cnf(c_0_21,plain,
composition(converse(one),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_18]) ).
cnf(c_0_22,axiom,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
converse_cancellativity_11 ).
cnf(c_0_23,axiom,
join(X1,X2) = join(X2,X1),
maddux1_join_commutativity_1 ).
cnf(c_0_24,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,axiom,
zero = meet(X1,complement(X1)),
def_zero_13 ).
cnf(c_0_26,axiom,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
maddux4_definiton_of_meet_4 ).
cnf(c_0_27,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_21,c_0_24]) ).
cnf(c_0_29,plain,
zero = complement(join(complement(X1),complement(complement(X1)))),
inference(rw,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,axiom,
top = join(X1,complement(X1)),
def_top_12 ).
cnf(c_0_31,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_24]),c_0_28]) ).
cnf(c_0_32,plain,
complement(top) = zero,
inference(rw,[status(thm)],[c_0_29,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,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
maddux2_join_associativity_2 ).
cnf(c_0_35,plain,
join(zero,zero) = zero,
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_33,c_0_23]) ).
cnf(c_0_37,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,plain,
join(zero,complement(complement(X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_31]),c_0_30]),c_0_32]),c_0_23]) ).
cnf(c_0_39,plain,
join(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_40,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_41,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_31,c_0_40]) ).
cnf(c_0_42,negated_conjecture,
join(sk2,one) = one,
goals_18 ).
cnf(c_0_43,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_34,c_0_41]) ).
cnf(c_0_44,negated_conjecture,
join(one,sk2) = one,
inference(rw,[status(thm)],[c_0_42,c_0_23]) ).
cnf(c_0_45,negated_conjecture,
join(sk1,one) = one,
goals_17 ).
cnf(c_0_46,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_36]),c_0_23]) ).
cnf(c_0_47,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_43,c_0_23]) ).
cnf(c_0_48,axiom,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
converse_additivity_9 ).
cnf(c_0_49,negated_conjecture,
join(one,join(sk2,X1)) = join(one,X1),
inference(spm,[status(thm)],[c_0_34,c_0_44]) ).
cnf(c_0_50,negated_conjecture,
join(one,sk1) = one,
inference(rw,[status(thm)],[c_0_45,c_0_23]) ).
cnf(c_0_51,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_52,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_53,plain,
converse(join(one,X1)) = join(one,converse(X1)),
inference(spm,[status(thm)],[c_0_48,c_0_24]) ).
cnf(c_0_54,negated_conjecture,
join(one,complement(join(complement(sk2),X1))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_46]),c_0_44]) ).
cnf(c_0_55,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_23,c_0_34]) ).
cnf(c_0_56,negated_conjecture,
join(one,join(sk1,X1)) = join(one,X1),
inference(spm,[status(thm)],[c_0_34,c_0_50]) ).
cnf(c_0_57,plain,
join(complement(join(complement(composition(X1,X2)),complement(X3))),composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),complement(join(complement(X2),complement(composition(converse(X1),X3)))))) = composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),complement(join(complement(X2),complement(composition(converse(X1),X3))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_26]),c_0_26]),c_0_26]),c_0_26]),c_0_26]) ).
cnf(c_0_58,plain,
join(complement(X1),complement(join(X2,X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_52,c_0_40]) ).
cnf(c_0_59,negated_conjecture,
join(one,converse(sk2)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_44]),c_0_24]) ).
cnf(c_0_60,negated_conjecture,
join(complement(one),join(complement(sk2),X1)) = join(complement(sk2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_54]),c_0_34]),c_0_55]) ).
cnf(c_0_61,plain,
join(X1,zero) = X1,
inference(spm,[status(thm)],[c_0_23,c_0_39]) ).
cnf(c_0_62,axiom,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
composition_distributivity_7 ).
cnf(c_0_63,negated_conjecture,
join(one,complement(join(complement(sk1),X1))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_46]),c_0_50]) ).
cnf(c_0_64,plain,
join(complement(join(complement(one),complement(composition(X1,X2)))),composition(complement(join(complement(X1),complement(converse(X2)))),complement(join(complement(X2),complement(converse(X1)))))) = composition(complement(join(complement(X1),complement(converse(X2)))),complement(join(complement(X2),complement(converse(X1))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_20]),c_0_23]),c_0_28]),c_0_28]) ).
cnf(c_0_65,negated_conjecture,
join(complement(one),complement(converse(sk2))) = complement(converse(sk2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_23]) ).
cnf(c_0_66,negated_conjecture,
join(complement(one),complement(sk2)) = complement(sk2),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_67,plain,
join(X1,composition(X2,X1)) = composition(join(one,X2),X1),
inference(spm,[status(thm)],[c_0_62,c_0_28]) ).
cnf(c_0_68,negated_conjecture,
join(one,converse(sk1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_50]),c_0_24]) ).
cnf(c_0_69,negated_conjecture,
join(complement(one),join(complement(sk1),X1)) = join(complement(sk1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_63]),c_0_34]),c_0_55]) ).
cnf(c_0_70,negated_conjecture,
join(sk2,composition(converse(sk2),sk2)) = composition(converse(sk2),sk2),
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_64,c_0_65]),c_0_28]),c_0_66]),c_0_40]),c_0_40]),c_0_24]),c_0_23]),c_0_66]),c_0_40]),c_0_40]),c_0_24]),c_0_23]),c_0_66]),c_0_40]) ).
cnf(c_0_71,negated_conjecture,
join(X1,composition(converse(sk2),X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_59]),c_0_28]) ).
cnf(c_0_72,negated_conjecture,
join(complement(one),complement(converse(sk1))) = complement(converse(sk1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_68]),c_0_23]) ).
cnf(c_0_73,negated_conjecture,
join(complement(one),complement(sk1)) = complement(sk1),
inference(spm,[status(thm)],[c_0_69,c_0_61]) ).
cnf(c_0_74,negated_conjecture,
join(X1,composition(sk2,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_44]),c_0_28]) ).
cnf(c_0_75,negated_conjecture,
composition(converse(sk2),sk2) = sk2,
inference(rw,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_76,negated_conjecture,
join(sk1,composition(converse(sk1),sk1)) = composition(converse(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_72]),c_0_28]),c_0_73]),c_0_40]),c_0_40]),c_0_24]),c_0_23]),c_0_73]),c_0_40]),c_0_40]),c_0_24]),c_0_23]),c_0_73]),c_0_40]) ).
cnf(c_0_77,negated_conjecture,
join(X1,composition(converse(sk1),X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_28]) ).
cnf(c_0_78,plain,
join(complement(join(complement(X1),complement(X2))),composition(complement(join(complement(one),complement(composition(X2,converse(X1))))),complement(join(complement(X1),complement(X2))))) = composition(complement(join(complement(one),complement(composition(X2,converse(X1))))),complement(join(complement(X1),complement(X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_24]),c_0_28]),c_0_28]),c_0_28]) ).
cnf(c_0_79,negated_conjecture,
join(one,composition(sk2,sk1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_74]),c_0_50]) ).
cnf(c_0_80,negated_conjecture,
converse(sk2) = sk2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_75]),c_0_75]) ).
cnf(c_0_81,negated_conjecture,
composition(converse(sk1),sk1) = sk1,
inference(rw,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_82,plain,
composition(complement(join(complement(one),complement(composition(X1,converse(X2))))),complement(join(complement(X2),complement(X1)))) = complement(join(complement(X2),complement(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_67]),c_0_46]),c_0_28]) ).
cnf(c_0_83,negated_conjecture,
join(complement(one),complement(composition(sk2,sk1))) = complement(composition(sk2,sk1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_79]),c_0_23]) ).
cnf(c_0_84,axiom,
composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
composition_associativity_5 ).
cnf(c_0_85,negated_conjecture,
converse(join(sk2,X1)) = join(sk2,converse(X1)),
inference(spm,[status(thm)],[c_0_48,c_0_80]) ).
cnf(c_0_86,negated_conjecture,
converse(composition(X1,sk2)) = composition(sk2,converse(X1)),
inference(spm,[status(thm)],[c_0_17,c_0_80]) ).
cnf(c_0_87,negated_conjecture,
converse(sk1) = sk1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_81]),c_0_81]) ).
cnf(c_0_88,negated_conjecture,
composition(sk2,composition(sk1,composition(sk2,sk1))) = composition(sk2,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(spm,[status(thm)],[c_0_82,c_0_83]),c_0_24]),c_0_20]),c_0_83]),c_0_40]),c_0_40]),c_0_84]),c_0_40]) ).
cnf(c_0_89,plain,
join(composition(X1,composition(X2,X3)),composition(X4,X3)) = composition(join(composition(X1,X2),X4),X3),
inference(spm,[status(thm)],[c_0_62,c_0_84]) ).
cnf(c_0_90,negated_conjecture,
join(X1,composition(sk1,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_50]),c_0_28]) ).
cnf(c_0_91,negated_conjecture,
join(sk2,composition(sk2,sk1)) = sk2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_77]),c_0_80]),c_0_86]),c_0_18]) ).
cnf(c_0_92,negated_conjecture,
converse(composition(sk1,X1)) = composition(converse(X1),sk1),
inference(spm,[status(thm)],[c_0_19,c_0_87]) ).
cnf(c_0_93,negated_conjecture,
composition(sk1,composition(sk2,sk1)) = composition(sk2,sk1),
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_67,c_0_88]),c_0_89]),c_0_44]),c_0_28]),c_0_23]),c_0_90]) ).
cnf(c_0_94,negated_conjecture,
converse(composition(sk2,X1)) = composition(converse(X1),sk2),
inference(spm,[status(thm)],[c_0_19,c_0_80]) ).
cnf(c_0_95,plain,
join(complement(join(complement(X1),complement(X2))),composition(complement(join(complement(X1),complement(X2))),complement(join(complement(one),complement(composition(converse(X1),X2)))))) = composition(complement(join(complement(X1),complement(X2))),complement(join(complement(one),complement(composition(converse(X1),X2))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_20]),c_0_24]),c_0_20]),c_0_24]),c_0_20]) ).
cnf(c_0_96,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(spm,[status(thm)],[c_0_30,c_0_34]) ).
cnf(c_0_97,negated_conjecture,
join(complement(sk2),complement(composition(sk2,sk1))) = complement(composition(sk2,sk1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_91]),c_0_23]) ).
cnf(c_0_98,negated_conjecture,
composition(sk2,sk1) = composition(sk1,sk2),
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_92,c_0_93]),c_0_94]),c_0_87]),c_0_94]),c_0_87]),c_0_84]),c_0_93]) ).
cnf(c_0_99,negated_conjecture,
join(sk2,composition(sk2,sk2)) = composition(sk2,sk2),
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_95,c_0_66]),c_0_40]),c_0_40]),c_0_24]),c_0_28]),c_0_66]),c_0_40]),c_0_40]),c_0_24]),c_0_28]),c_0_66]),c_0_40]) ).
cnf(c_0_100,negated_conjecture,
join(X1,join(composition(sk2,X1),X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_34,c_0_74]) ).
cnf(c_0_101,plain,
join(X1,top) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_41]),c_0_30]) ).
cnf(c_0_102,plain,
join(complement(join(complement(composition(X1,converse(X2))),complement(X3))),composition(complement(join(complement(X1),complement(composition(X3,X2)))),complement(join(complement(converse(X2)),complement(composition(converse(X1),X3)))))) = composition(complement(join(complement(X1),complement(composition(X3,X2)))),complement(join(complement(converse(X2)),complement(composition(converse(X1),X3))))),
inference(spm,[status(thm)],[c_0_57,c_0_18]) ).
cnf(c_0_103,negated_conjecture,
join(complement(sk2),complement(composition(sk1,sk2))) = complement(composition(sk1,sk2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_98]),c_0_98]) ).
cnf(c_0_104,negated_conjecture,
composition(sk2,sk2) = sk2,
inference(rw,[status(thm)],[c_0_99,c_0_74]) ).
cnf(c_0_105,negated_conjecture,
composition(sk2,composition(sk1,sk2)) = composition(sk1,sk2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_93]),c_0_98]),c_0_98]) ).
cnf(c_0_106,negated_conjecture,
composition(sk1,composition(sk1,sk2)) = composition(sk1,sk2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_98]),c_0_98]) ).
cnf(c_0_107,negated_conjecture,
composition(sk1,sk2) != meet(sk1,sk2),
inference(fof_simplification,[status(thm)],[goals_19]) ).
cnf(c_0_108,negated_conjecture,
join(X1,complement(composition(sk2,X1))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_30]),c_0_101]) ).
cnf(c_0_109,negated_conjecture,
join(composition(sk1,sk2),complement(join(complement(sk1),complement(sk2)))) = composition(sk1,sk2),
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(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_102,c_0_103]),c_0_80]),c_0_104]),c_0_40]),c_0_80]),c_0_80]),c_0_98]),c_0_103]),c_0_40]),c_0_84]),c_0_105]),c_0_106]),c_0_40]),c_0_80]),c_0_80]),c_0_98]),c_0_103]),c_0_40]),c_0_84]),c_0_105]),c_0_106]),c_0_23]),c_0_23]) ).
cnf(c_0_110,negated_conjecture,
composition(sk1,sk2) != meet(sk1,sk2),
c_0_107 ).
cnf(c_0_111,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X2),complement(X1)))) = X2,
inference(spm,[status(thm)],[c_0_36,c_0_23]) ).
cnf(c_0_112,negated_conjecture,
join(sk1,complement(composition(sk1,sk2))) = top,
inference(spm,[status(thm)],[c_0_108,c_0_98]) ).
cnf(c_0_113,negated_conjecture,
join(complement(sk1),complement(composition(sk1,sk2))) = join(complement(sk1),complement(sk2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_109]),c_0_40]),c_0_34]),c_0_103]),c_0_40]) ).
cnf(c_0_114,negated_conjecture,
composition(sk1,sk2) != complement(join(complement(sk1),complement(sk2))),
inference(rw,[status(thm)],[c_0_110,c_0_26]) ).
cnf(c_0_115,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_32]),c_0_23]),c_0_113]),c_0_39]),c_0_114]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.10 % Problem : REL028-2 : TPTP v8.2.0. Released v4.0.0.
% 0.01/0.11 % Command : run_E %s %d THM
% 0.11/0.29 % Computer : n032.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Mon May 20 08:04:22 EDT 2024
% 0.11/0.30 % CPUTime :
% 0.15/0.39 Running first-order theorem proving
% 0.15/0.39 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.02/0.70 # Version: 3.1.0
% 2.02/0.70 # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.02/0.70 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.02/0.70 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.02/0.70 # Starting new_bool_3 with 300s (1) cores
% 2.02/0.70 # Starting new_bool_1 with 300s (1) cores
% 2.02/0.70 # Starting sh5l with 300s (1) cores
% 2.02/0.70 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4260 completed with status 0
% 2.02/0.70 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 2.02/0.70 # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.02/0.70 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.02/0.70 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.02/0.70 # No SInE strategy applied
% 2.02/0.70 # Search class: FUUPM-FFMF21-DFFFFFNN
% 2.02/0.70 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.02/0.70 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 811s (1) cores
% 2.02/0.70 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.02/0.70 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 136s (1) cores
% 2.02/0.70 # Starting new_bool_3 with 136s (1) cores
% 2.02/0.70 # Starting new_bool_1 with 136s (1) cores
% 2.02/0.70 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4267 completed with status 0
% 2.02/0.70 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 2.02/0.70 # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.02/0.70 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.02/0.70 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.02/0.70 # No SInE strategy applied
% 2.02/0.70 # Search class: FUUPM-FFMF21-DFFFFFNN
% 2.02/0.70 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.02/0.70 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 811s (1) cores
% 2.02/0.70 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.02/0.70 # Preprocessing time : 0.001 s
% 2.02/0.70 # Presaturation interreduction done
% 2.02/0.70
% 2.02/0.70 # Proof found!
% 2.02/0.70 # SZS status Unsatisfiable
% 2.02/0.70 # SZS output start CNFRefutation
% See solution above
% 2.02/0.70 # Parsed axioms : 19
% 2.02/0.70 # Removed by relevancy pruning/SinE : 0
% 2.02/0.70 # Initial clauses : 19
% 2.02/0.70 # Removed in clause preprocessing : 1
% 2.02/0.70 # Initial clauses in saturation : 18
% 2.02/0.70 # Processed clauses : 1530
% 2.02/0.70 # ...of these trivial : 899
% 2.02/0.70 # ...subsumed : 90
% 2.02/0.70 # ...remaining for further processing : 541
% 2.02/0.70 # Other redundant clauses eliminated : 0
% 2.02/0.70 # Clauses deleted for lack of memory : 0
% 2.02/0.70 # Backward-subsumed : 0
% 2.02/0.70 # Backward-rewritten : 133
% 2.02/0.70 # Generated clauses : 31238
% 2.02/0.70 # ...of the previous two non-redundant : 17711
% 2.02/0.70 # ...aggressively subsumed : 0
% 2.02/0.70 # Contextual simplify-reflections : 0
% 2.02/0.70 # Paramodulations : 31238
% 2.02/0.70 # Factorizations : 0
% 2.02/0.70 # NegExts : 0
% 2.02/0.70 # Equation resolutions : 0
% 2.02/0.70 # Disequality decompositions : 0
% 2.02/0.70 # Total rewrite steps : 78685
% 2.02/0.70 # ...of those cached : 70111
% 2.02/0.70 # Propositional unsat checks : 0
% 2.02/0.70 # Propositional check models : 0
% 2.02/0.70 # Propositional check unsatisfiable : 0
% 2.02/0.70 # Propositional clauses : 0
% 2.02/0.70 # Propositional clauses after purity: 0
% 2.02/0.70 # Propositional unsat core size : 0
% 2.02/0.70 # Propositional preprocessing time : 0.000
% 2.02/0.70 # Propositional encoding time : 0.000
% 2.02/0.70 # Propositional solver time : 0.000
% 2.02/0.70 # Success case prop preproc time : 0.000
% 2.02/0.70 # Success case prop encoding time : 0.000
% 2.02/0.70 # Success case prop solver time : 0.000
% 2.02/0.70 # Current number of processed clauses : 390
% 2.02/0.70 # Positive orientable unit clauses : 384
% 2.02/0.70 # Positive unorientable unit clauses: 5
% 2.02/0.70 # Negative unit clauses : 1
% 2.02/0.70 # Non-unit-clauses : 0
% 2.02/0.70 # Current number of unprocessed clauses: 16054
% 2.02/0.70 # ...number of literals in the above : 16054
% 2.02/0.70 # Current number of archived formulas : 0
% 2.02/0.70 # Current number of archived clauses : 152
% 2.02/0.70 # Clause-clause subsumption calls (NU) : 0
% 2.02/0.70 # Rec. Clause-clause subsumption calls : 0
% 2.02/0.70 # Non-unit clause-clause subsumptions : 0
% 2.02/0.70 # Unit Clause-clause subsumption calls : 27
% 2.02/0.70 # Rewrite failures with RHS unbound : 0
% 2.02/0.70 # BW rewrite match attempts : 2471
% 2.02/0.70 # BW rewrite match successes : 192
% 2.02/0.70 # Condensation attempts : 0
% 2.02/0.70 # Condensation successes : 0
% 2.02/0.70 # Termbank termtop insertions : 710380
% 2.02/0.70 # Search garbage collected termcells : 2
% 2.02/0.70
% 2.02/0.70 # -------------------------------------------------
% 2.02/0.70 # User time : 0.263 s
% 2.02/0.70 # System time : 0.015 s
% 2.02/0.70 # Total time : 0.278 s
% 2.02/0.70 # Maximum resident set size: 1660 pages
% 2.02/0.70
% 2.02/0.70 # -------------------------------------------------
% 2.02/0.70 # User time : 1.358 s
% 2.02/0.70 # System time : 0.048 s
% 2.02/0.70 # Total time : 1.407 s
% 2.02/0.70 # Maximum resident set size: 1704 pages
% 2.02/0.70 % E---3.1 exiting
% 2.02/0.70 % E exiting
%------------------------------------------------------------------------------