%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : REL047-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 : Thu Sep 24 02:04:09 PM UTC 2026
% Result : Unsatisfiable 8.41s 6.84s
% Output : CNFRefutation 8.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 13
% Syntax : Number of clauses : 116 ( 116 unt; 0 nHn; 45 RR)
% Number of literals : 116 ( 115 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 115 ( 20 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(goals_15,negated_conjecture,
join(sk1,sk3) = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).
cnf(def_top_12,axiom,
top = join(X1,complement(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_top_12) ).
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(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(goals_14,negated_conjecture,
join(sk1,sk2) = sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).
cnf(goals_16,negated_conjecture,
join(sk1,meet(sk2,sk3)) != meet(sk2,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_16) ).
cnf(c_0_13,axiom,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
converse_multiplicativity_10 ).
cnf(c_0_14,axiom,
converse(converse(X1)) = X1,
converse_idempotence_8 ).
cnf(c_0_15,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,axiom,
composition(X1,one) = X1,
composition_identity_6 ).
cnf(c_0_17,plain,
composition(converse(one),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_14]) ).
cnf(c_0_18,axiom,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
converse_cancellativity_11 ).
cnf(c_0_19,axiom,
join(X1,X2) = join(X2,X1),
maddux1_join_commutativity_1 ).
cnf(c_0_20,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,axiom,
zero = meet(X1,complement(X1)),
def_zero_13 ).
cnf(c_0_22,axiom,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
maddux4_definiton_of_meet_4 ).
cnf(c_0_23,negated_conjecture,
join(sk1,sk3) = sk3,
goals_15 ).
cnf(c_0_24,axiom,
top = join(X1,complement(X1)),
def_top_12 ).
cnf(c_0_25,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
maddux2_join_associativity_2 ).
cnf(c_0_26,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_27,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_17,c_0_20]) ).
cnf(c_0_28,plain,
zero = complement(join(complement(X1),complement(complement(X1)))),
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,negated_conjecture,
join(sk3,sk1) = sk3,
inference(rw,[status(thm)],[c_0_23,c_0_19]) ).
cnf(c_0_30,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
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_26,c_0_27]),c_0_20]),c_0_27]) ).
cnf(c_0_32,plain,
complement(top) = zero,
inference(rw,[status(thm)],[c_0_28,c_0_24]) ).
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,negated_conjecture,
join(sk3,join(sk1,X1)) = join(sk3,X1),
inference(spm,[status(thm)],[c_0_25,c_0_29]) ).
cnf(c_0_35,plain,
join(top,complement(X1)) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_24]),c_0_19]) ).
cnf(c_0_36,plain,
join(zero,zero) = zero,
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_33,c_0_19]) ).
cnf(c_0_38,negated_conjecture,
join(sk3,complement(sk1)) = join(sk3,top),
inference(spm,[status(thm)],[c_0_34,c_0_24]) ).
cnf(c_0_39,plain,
join(X1,top) = top,
inference(spm,[status(thm)],[c_0_30,c_0_35]) ).
cnf(c_0_40,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(spm,[status(thm)],[c_0_25,c_0_36]) ).
cnf(c_0_41,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_37,c_0_31]),c_0_24]),c_0_32]),c_0_19]) ).
cnf(c_0_42,negated_conjecture,
join(sk3,join(complement(sk1),X1)) = join(sk3,join(top,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_38]),c_0_25]) ).
cnf(c_0_43,plain,
join(top,X1) = top,
inference(spm,[status(thm)],[c_0_19,c_0_39]) ).
cnf(c_0_44,plain,
join(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_19,c_0_25]) ).
cnf(c_0_46,negated_conjecture,
join(sk3,join(complement(sk1),X1)) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43]),c_0_39]) ).
cnf(c_0_47,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[c_0_41,c_0_44]) ).
cnf(c_0_48,negated_conjecture,
join(complement(sk1),join(X1,join(X2,sk3))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_39]),c_0_25]) ).
cnf(c_0_49,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_19]),c_0_25]) ).
cnf(c_0_50,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_31,c_0_47]) ).
cnf(c_0_51,negated_conjecture,
join(complement(sk1),join(X1,join(sk3,X2))) = top,
inference(spm,[status(thm)],[c_0_48,c_0_19]) ).
cnf(c_0_52,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_25]),c_0_50]) ).
cnf(c_0_53,negated_conjecture,
complement(join(complement(sk1),complement(join(X1,join(sk3,X2))))) = sk1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_51]),c_0_32]),c_0_44]) ).
cnf(c_0_54,negated_conjecture,
join(sk3,join(X1,sk1)) = join(sk3,X1),
inference(spm,[status(thm)],[c_0_34,c_0_19]) ).
cnf(c_0_55,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_37]),c_0_19]) ).
cnf(c_0_56,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_45,c_0_50]) ).
cnf(c_0_57,negated_conjecture,
join(sk1,sk2) = sk2,
goals_14 ).
cnf(c_0_58,negated_conjecture,
complement(join(complement(sk3),complement(sk1))) = sk1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_50]),c_0_19]) ).
cnf(c_0_59,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_60,negated_conjecture,
join(sk2,sk1) = sk2,
inference(rw,[status(thm)],[c_0_57,c_0_19]) ).
cnf(c_0_61,negated_conjecture,
join(complement(sk3),complement(sk1)) = complement(sk1),
inference(spm,[status(thm)],[c_0_47,c_0_58]) ).
cnf(c_0_62,plain,
join(complement(X1),complement(join(X2,X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_59,c_0_47]) ).
cnf(c_0_63,negated_conjecture,
join(sk2,join(sk1,X1)) = join(sk2,X1),
inference(spm,[status(thm)],[c_0_25,c_0_60]) ).
cnf(c_0_64,negated_conjecture,
join(sk1,complement(join(sk1,complement(sk3)))) = sk3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_61]),c_0_47]),c_0_47]),c_0_19]) ).
cnf(c_0_65,plain,
join(complement(X1),complement(join(complement(X1),complement(X2)))) = join(complement(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_37]),c_0_47]),c_0_19]),c_0_25]),c_0_62]) ).
cnf(c_0_66,negated_conjecture,
join(sk2,complement(join(sk1,complement(sk3)))) = join(sk2,sk3),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_67,negated_conjecture,
join(sk1,complement(join(sk1,complement(X1)))) = join(sk1,X1),
inference(spm,[status(thm)],[c_0_65,c_0_53]) ).
cnf(c_0_68,negated_conjecture,
join(sk1,join(complement(sk3),complement(join(sk2,sk3)))) = join(sk1,complement(sk3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_66]),c_0_25]) ).
cnf(c_0_69,plain,
join(X1,zero) = X1,
inference(spm,[status(thm)],[c_0_19,c_0_44]) ).
cnf(c_0_70,negated_conjecture,
join(sk1,complement(join(sk1,X1))) = join(sk1,complement(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_67]),c_0_52]) ).
cnf(c_0_71,negated_conjecture,
join(sk1,join(complement(sk3),join(complement(join(sk2,sk3)),complement(join(sk1,complement(sk3)))))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_68]),c_0_25]) ).
cnf(c_0_72,negated_conjecture,
complement(join(complement(sk1),complement(join(X1,sk3)))) = sk1,
inference(spm,[status(thm)],[c_0_53,c_0_69]) ).
cnf(c_0_73,plain,
join(X1,complement(join(X1,complement(X2)))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_65,c_0_47]) ).
cnf(c_0_74,negated_conjecture,
join(sk1,complement(join(complement(sk3),join(complement(join(sk2,sk3)),complement(join(sk1,complement(sk3))))))) = sk1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_32]),c_0_69]) ).
cnf(c_0_75,plain,
join(complement(X1),complement(join(X1,X2))) = complement(X1),
inference(spm,[status(thm)],[c_0_55,c_0_47]) ).
cnf(c_0_76,negated_conjecture,
join(complement(sk1),complement(join(X1,sk3))) = complement(sk1),
inference(spm,[status(thm)],[c_0_47,c_0_72]) ).
cnf(c_0_77,plain,
join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_73]),c_0_52]) ).
cnf(c_0_78,negated_conjecture,
join(complement(sk3),join(complement(join(sk2,sk3)),complement(join(sk1,complement(sk3))))) = complement(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(spm,[status(thm)],[c_0_62,c_0_74]),c_0_47]),c_0_25]),c_0_25]),c_0_47]),c_0_19]),c_0_75]),c_0_19]),c_0_76]),c_0_61]) ).
cnf(c_0_79,plain,
join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
inference(spm,[status(thm)],[c_0_77,c_0_19]) ).
cnf(c_0_80,negated_conjecture,
join(complement(sk3),complement(join(complement(join(sk2,sk3)),complement(join(sk1,complement(sk3)))))) = join(sk1,complement(sk3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_47]),c_0_19]) ).
cnf(c_0_81,negated_conjecture,
join(sk3,complement(join(complement(join(sk2,sk3)),complement(join(sk1,complement(sk3)))))) = join(sk2,sk3),
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_79,c_0_80]),c_0_47]),c_0_19]),c_0_79]),c_0_47]),c_0_19]),c_0_25]),c_0_59]),c_0_19]) ).
cnf(c_0_82,negated_conjecture,
join(sk3,join(complement(join(sk2,sk3)),complement(join(sk1,complement(sk3))))) = join(sk3,complement(sk2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_81]),c_0_79]),c_0_47]) ).
cnf(c_0_83,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X2),complement(X1)))) = X2,
inference(spm,[status(thm)],[c_0_37,c_0_19]) ).
cnf(c_0_84,negated_conjecture,
join(complement(join(sk3,complement(sk2))),complement(join(complement(join(sk2,sk3)),complement(join(sk1,complement(sk3)))))) = complement(join(complement(join(sk2,sk3)),complement(join(sk1,complement(sk3))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_82]),c_0_19]) ).
cnf(c_0_85,negated_conjecture,
join(complement(join(sk2,sk3)),join(complement(join(sk3,complement(sk2))),complement(join(sk1,complement(sk3))))) = complement(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(spm,[status(thm)],[c_0_79,c_0_82]),c_0_25]),c_0_25]),c_0_19]),c_0_79]),c_0_61]),c_0_19]),c_0_76]),c_0_19]) ).
cnf(c_0_86,negated_conjecture,
join(complement(sk2),complement(sk1)) = complement(sk1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_60]),c_0_19]) ).
cnf(c_0_87,negated_conjecture,
join(sk1,join(complement(join(sk2,sk3)),complement(join(sk1,complement(sk3))))) = join(sk3,complement(sk2)),
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_83,c_0_84]),c_0_25]),c_0_19]),c_0_85]),c_0_47]),c_0_47]) ).
cnf(c_0_88,negated_conjecture,
join(sk1,complement(join(complement(join(sk2,sk3)),complement(join(sk1,complement(sk3)))))) = complement(join(complement(join(sk2,sk3)),complement(join(sk1,complement(sk3))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_78]),c_0_47]),c_0_19]) ).
cnf(c_0_89,negated_conjecture,
join(sk1,complement(join(sk1,complement(sk2)))) = sk2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_86]),c_0_47]),c_0_47]),c_0_19]) ).
cnf(c_0_90,negated_conjecture,
complement(join(complement(join(sk2,sk3)),complement(join(sk1,complement(sk3))))) = join(sk1,complement(join(sk3,complement(sk2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_87]),c_0_88]) ).
cnf(c_0_91,negated_conjecture,
join(sk3,complement(join(sk1,complement(sk2)))) = join(sk2,sk3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_89]),c_0_19]) ).
cnf(c_0_92,negated_conjecture,
join(sk1,join(complement(join(sk2,sk3)),complement(join(sk3,complement(sk2))))) = join(sk1,complement(sk3)),
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_77,c_0_90]),c_0_47]),c_0_19]),c_0_25]),c_0_62]),c_0_49]) ).
cnf(c_0_93,plain,
join(complement(join(X1,join(X2,complement(X3)))),complement(join(complement(X3),complement(join(X1,X2))))) = X3,
inference(spm,[status(thm)],[c_0_37,c_0_45]) ).
cnf(c_0_94,negated_conjecture,
join(sk3,join(complement(join(sk2,sk3)),complement(join(sk1,complement(sk2))))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_91]),c_0_19]) ).
cnf(c_0_95,negated_conjecture,
join(sk3,join(complement(join(sk2,sk3)),complement(join(sk3,complement(sk2))))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_92]),c_0_34]),c_0_24]) ).
cnf(c_0_96,negated_conjecture,
complement(join(complement(join(sk3,complement(sk2))),complement(join(sk1,complement(sk2))))) = join(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_93,c_0_94]),c_0_32]),c_0_79]),c_0_44]),c_0_19]) ).
cnf(c_0_97,plain,
join(X1,complement(join(X2,join(X3,complement(X1))))) = X1,
inference(spm,[status(thm)],[c_0_55,c_0_45]) ).
cnf(c_0_98,negated_conjecture,
join(complement(join(sk2,sk3)),complement(join(sk3,complement(sk2)))) = complement(sk3),
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_79,c_0_95]),c_0_32]),c_0_69]),c_0_25]),c_0_19]),c_0_75]),c_0_19]),c_0_62]) ).
cnf(c_0_99,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_37,c_0_19]) ).
cnf(c_0_100,negated_conjecture,
join(complement(join(sk3,complement(sk2))),complement(join(sk1,complement(sk2)))) = complement(join(sk1,complement(sk2))),
inference(spm,[status(thm)],[c_0_47,c_0_96]) ).
cnf(c_0_101,negated_conjecture,
join(sk3,join(complement(sk2),complement(join(X1,complement(sk3))))) = join(sk3,complement(sk2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_25]) ).
cnf(c_0_102,plain,
join(complement(join(X1,join(complement(X2),X3))),complement(join(complement(X2),complement(join(X3,X1))))) = X2,
inference(spm,[status(thm)],[c_0_37,c_0_45]) ).
cnf(c_0_103,negated_conjecture,
join(sk1,join(complement(sk2),complement(join(sk1,join(complement(sk2),complement(sk3)))))) = join(sk3,complement(sk2)),
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_100]),c_0_47]),c_0_47]),c_0_25]),c_0_79]),c_0_25]) ).
cnf(c_0_104,negated_conjecture,
join(complement(sk3),join(complement(join(sk3,complement(sk2))),X1)) = join(X1,complement(sk3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_101]),c_0_79]),c_0_47]),c_0_45]) ).
cnf(c_0_105,negated_conjecture,
join(complement(join(sk3,complement(sk2))),complement(join(complement(sk2),complement(join(sk1,complement(join(complement(sk2),complement(sk3)))))))) = sk2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_19]),c_0_77]) ).
cnf(c_0_106,negated_conjecture,
join(complement(sk3),complement(join(complement(sk2),complement(join(sk1,complement(join(complement(sk2),complement(sk3)))))))) = join(sk2,complement(sk3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_19]),c_0_19]) ).
cnf(c_0_107,negated_conjecture,
join(sk1,meet(sk2,sk3)) != meet(sk2,sk3),
inference(fof_simplification,[status(thm)],[goals_16]) ).
cnf(c_0_108,negated_conjecture,
join(complement(sk2),join(complement(sk3),complement(join(sk1,complement(join(complement(sk2),complement(sk3))))))) = join(complement(sk2),complement(sk3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_106]),c_0_79]),c_0_19]),c_0_47]),c_0_49]) ).
cnf(c_0_109,negated_conjecture,
join(sk2,complement(join(sk1,X1))) = join(sk2,complement(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_70]),c_0_63]) ).
cnf(c_0_110,plain,
join(X1,join(complement(X1),X2)) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_24]),c_0_43]) ).
cnf(c_0_111,negated_conjecture,
join(complement(sk3),join(complement(sk1),X1)) = join(complement(sk1),X1),
inference(spm,[status(thm)],[c_0_25,c_0_61]) ).
cnf(c_0_112,negated_conjecture,
join(sk1,meet(sk2,sk3)) != meet(sk2,sk3),
c_0_107 ).
cnf(c_0_113,negated_conjecture,
join(complement(sk1),complement(join(complement(sk2),complement(sk3)))) = top,
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_79,c_0_108]),c_0_25]),c_0_47]),c_0_25]),c_0_19]),c_0_109]),c_0_47]),c_0_110]),c_0_39]),c_0_19]),c_0_79]),c_0_19]),c_0_111]) ).
cnf(c_0_114,negated_conjecture,
join(sk1,complement(join(complement(sk2),complement(sk3)))) != complement(join(complement(sk2),complement(sk3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_22]),c_0_22]) ).
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_79,c_0_113]),c_0_32]),c_0_69]),c_0_47]),c_0_19]),c_0_114]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL047-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.54 % Computer : n004.cluster.edu
% 0.11/5.54 % Model : x86_64 x86_64
% 0.11/5.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.54 % Memory : 8046.5625MB
% 0.11/5.54 % OS : Linux 6.8.0-71-generic
% 0.11/5.54 % CPULimit : 300
% 0.11/5.54 % WCLimit : 300
% 0.11/5.54 % DateTime : Mon Sep 21 04:08:42 UTC 2026
% 0.11/5.55 % CPUTime :
% 0.11/5.55 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.59 Running first-order theorem proving
% 0.11/5.59 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
% 8.41/6.84 % Version: 3.5.1
% 8.41/6.84 % Preprocessing class: FSMSSMSSSSSNFFN.
% 8.41/6.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.41/6.84 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 8.41/6.84 % Starting new_bool_3 with 300s (1) cores
% 8.41/6.84 % Starting new_bool_1 with 300s (1) cores
% 8.41/6.84 % Starting sh5l with 300s (1) cores
% 8.41/6.84 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2210362 completed with status 0
% 8.41/6.84 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 8.41/6.84 % Preprocessing class: FSMSSMSSSSSNFFN.
% 8.41/6.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.41/6.84 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 8.41/6.84 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 8.41/6.84 % No SInE strategy applied
% 8.41/6.84 % Search class: FUUPM-FFSF21-MFFFFFNN
% 8.41/6.84 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 8.41/6.84 % Starting SubtermCWHack with 136s (1) cores
% 8.41/6.84 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 8.41/6.84 % Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 136s (1) cores
% 8.41/6.84 % Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 8.41/6.84 % Starting U----_043_B31_F1_PI_AE_CS_SP_S2S with 136s (1) cores
% 8.41/6.84 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2210367 completed with status 0
% 8.41/6.84 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 8.41/6.84 % Preprocessing class: FSMSSMSSSSSNFFN.
% 8.41/6.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.41/6.84 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 8.41/6.84 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 8.41/6.84 % No SInE strategy applied
% 8.41/6.84 % Search class: FUUPM-FFSF21-MFFFFFNN
% 8.41/6.84 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 8.41/6.84 % Starting SubtermCWHack with 136s (1) cores
% 8.41/6.84 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 8.41/6.84 % Preprocessing time : 0.001 s
% 8.41/6.84 % Presaturation interreduction done
% 8.41/6.84
% 8.41/6.84 % Proof found!
% 8.41/6.84 % SZS status Unsatisfiable
% 8.41/6.84 % SZS output start CNFRefutation
% See solution above
% 8.41/6.84 % Parsed axioms : 16
% 8.41/6.84 % Removed by relevancy pruning/SinE : 0
% 8.41/6.84 % Initial clauses : 16
% 8.41/6.84 % Removed in clause preprocessing : 1
% 8.41/6.84 % Initial clauses in saturation : 15
% 8.41/6.84 % Processed clauses : 3974
% 8.41/6.84 % ...of these trivial : 2709
% 8.41/6.84 % ...subsumed : 413
% 8.41/6.84 % ...remaining for further processing : 851
% 8.41/6.84 % Other redundant clauses eliminated : 0
% 8.41/6.84 % Clauses deleted for lack of memory : 0
% 8.41/6.84 % Backward-subsumed : 0
% 8.41/6.84 % Backward-rewritten : 227
% 8.41/6.84 % Generated clauses : 76801
% 8.41/6.84 % ...of the previous two non-redundant : 36928
% 8.41/6.84 % ...aggressively subsumed : 0
% 8.41/6.84 % Contextual simplify-reflections : 0
% 8.41/6.84 % Paramodulations : 76801
% 8.41/6.84 % Factorizations : 0
% 8.41/6.84 % NegExts : 0
% 8.41/6.84 % Equation resolutions : 0
% 8.41/6.84 % Disequality decompositions : 0
% 8.41/6.84 % Total rewrite steps : 150794
% 8.41/6.84 % ...of those cached : 130368
% 8.41/6.84 % Propositional unsat checks : 0
% 8.41/6.84 % Propositional check models : 0
% 8.41/6.84 % Propositional check unsatisfiable : 0
% 8.41/6.84 % Propositional clauses : 0
% 8.41/6.84 % Propositional clauses after purity: 0
% 8.41/6.84 % Propositional unsat core size : 0
% 8.41/6.84 % Propositional preprocessing time : 0.000
% 8.41/6.84 % Propositional encoding time : 0.000
% 8.41/6.84 % Propositional solver time : 0.000
% 8.41/6.84 % Success case prop preproc time : 0.000
% 8.41/6.84 % Success case prop encoding time : 0.000
% 8.41/6.84 % Success case prop solver time : 0.000
% 8.41/6.84 % Current number of processed clauses : 609
% 8.41/6.84 % Positive orientable unit clauses : 599
% 8.41/6.84 % Positive unorientable unit clauses: 9
% 8.41/6.84 % Negative unit clauses : 1
% 8.41/6.84 % Non-unit-clauses : 0
% 8.41/6.84 % Current number of unprocessed clauses: 32351
% 8.41/6.84 % ...number of literals in the above : 32351
% 8.41/6.84 % Current number of archived formulas : 0
% 8.41/6.84 % Current number of archived clauses : 243
% 8.41/6.84 % Clause-clause subsumption calls (NU) : 0
% 8.41/6.84 % Rec. Clause-clause subsumption calls : 0
% 8.41/6.84 % Non-unit clause-clause subsumptions : 0
% 8.41/6.84 % Unit Clause-clause subsumption calls : 75
% 8.41/6.84 % Rewrite failures with RHS unbound : 0
% 8.41/6.84 % BW rewrite match attempts : 7683
% 8.41/6.84 % BW rewrite match successes : 416
% 8.41/6.84 % Condensation attempts : 0
% 8.41/6.84 % Condensation successes : 0
% 8.41/6.84 % Termbank termtop insertions : 1071574
% 8.41/6.84 % Search garbage collected termcells : 2
% 8.41/6.84
% 8.41/6.84 % -------------------------------------------------
% 8.41/6.84 % User time : 1.075 s
% 8.41/6.84 % System time : 0.049 s
% 8.41/6.84 % Total time : 1.125 s
% 8.41/6.84 % Maximum resident set size: 3644 pages
% 8.41/6.84
% 8.41/6.84 % -------------------------------------------------
% 8.41/6.84 % User time : 5.654 s
% 8.41/6.84 % System time : 0.276 s
% 8.41/6.84 % Total time : 5.930 s
% 8.41/6.84 % Maximum resident set size: 4864 pages
% 8.41/6.84 % E exiting
%------------------------------------------------------------------------------