TSTP Solution File: REL029-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : REL029-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 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 : Thu Aug 31 13:36:12 EDT 2023
% Result : Timeout 286.66s 286.57s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 27
% Syntax : Number of formulae : 171 ( 160 unt; 11 typ; 0 def)
% Number of atoms : 160 ( 159 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 8 ( 5 >; 3 *; 0 +; 0 <<)
% 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 : 196 ( 11 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
join: ( $i * $i ) > $i ).
tff(decl_23,type,
complement: $i > $i ).
tff(decl_24,type,
meet: ( $i * $i ) > $i ).
tff(decl_25,type,
composition: ( $i * $i ) > $i ).
tff(decl_26,type,
one: $i ).
tff(decl_27,type,
converse: $i > $i ).
tff(decl_28,type,
top: $i ).
tff(decl_29,type,
zero: $i ).
tff(decl_30,type,
sk1: $i ).
tff(decl_31,type,
sk2: $i ).
tff(decl_32,type,
sk3: $i ).
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(composition_identity_6,axiom,
composition(X1,one) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_identity_6) ).
cnf(converse_idempotence_8,axiom,
converse(converse(X1)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).
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(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(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(goals_15,negated_conjecture,
join(sk2,one) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).
cnf(goals_14,negated_conjecture,
join(sk1,one) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_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_16,negated_conjecture,
meet(composition(sk1,sk3),composition(sk2,sk3)) != composition(meet(sk1,sk2),sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_16) ).
cnf(c_0_16,axiom,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
converse_multiplicativity_10 ).
cnf(c_0_17,axiom,
composition(X1,one) = X1,
composition_identity_6 ).
cnf(c_0_18,plain,
composition(converse(one),converse(X1)) = converse(X1),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,axiom,
converse(converse(X1)) = X1,
converse_idempotence_8 ).
cnf(c_0_20,plain,
composition(converse(one),X1) = X1,
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,axiom,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
converse_cancellativity_11 ).
cnf(c_0_22,axiom,
join(X1,X2) = join(X2,X1),
maddux1_join_commutativity_1 ).
cnf(c_0_23,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_17,c_0_20]) ).
cnf(c_0_24,axiom,
zero = meet(X1,complement(X1)),
def_zero_13 ).
cnf(c_0_25,axiom,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
maddux4_definiton_of_meet_4 ).
cnf(c_0_26,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_20,c_0_23]) ).
cnf(c_0_28,plain,
zero = complement(join(complement(X1),complement(complement(X1)))),
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,axiom,
top = join(X1,complement(X1)),
def_top_12 ).
cnf(c_0_30,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_23]),c_0_27]) ).
cnf(c_0_31,plain,
complement(top) = zero,
inference(rw,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,axiom,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
maddux3_a_kind_of_de_Morgan_3 ).
cnf(c_0_33,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
maddux2_join_associativity_2 ).
cnf(c_0_34,plain,
join(zero,zero) = zero,
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_32,c_0_22]) ).
cnf(c_0_36,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,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_35,c_0_30]),c_0_29]),c_0_31]),c_0_22]) ).
cnf(c_0_38,plain,
join(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_39,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_40,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_30,c_0_39]) ).
cnf(c_0_41,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_33,c_0_40]) ).
cnf(c_0_42,plain,
join(top,zero) = top,
inference(spm,[status(thm)],[c_0_29,c_0_31]) ).
cnf(c_0_43,plain,
join(X1,join(complement(X1),X2)) = join(top,X2),
inference(spm,[status(thm)],[c_0_33,c_0_29]) ).
cnf(c_0_44,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_35]),c_0_22]) ).
cnf(c_0_45,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_41,c_0_22]) ).
cnf(c_0_46,plain,
join(top,join(zero,X1)) = join(top,X1),
inference(spm,[status(thm)],[c_0_33,c_0_42]) ).
cnf(c_0_47,plain,
join(top,complement(X1)) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_30]),c_0_29]) ).
cnf(c_0_48,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_49,axiom,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
converse_additivity_9 ).
cnf(c_0_50,plain,
join(top,X1) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_37]),c_0_47]) ).
cnf(c_0_51,plain,
join(complement(X1),complement(join(X2,X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_48,c_0_39]) ).
cnf(c_0_52,plain,
join(converse(top),converse(X1)) = converse(top),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_53,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_35,c_0_35]),c_0_39]),c_0_22]),c_0_33]),c_0_51]) ).
cnf(c_0_54,plain,
join(X1,top) = top,
inference(spm,[status(thm)],[c_0_22,c_0_50]) ).
cnf(c_0_55,plain,
join(converse(top),X1) = converse(top),
inference(spm,[status(thm)],[c_0_52,c_0_19]) ).
cnf(c_0_56,plain,
join(X1,complement(join(X1,complement(X2)))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_53,c_0_39]) ).
cnf(c_0_57,plain,
join(converse(X1),converse(complement(X1))) = converse(top),
inference(spm,[status(thm)],[c_0_49,c_0_29]) ).
cnf(c_0_58,plain,
converse(top) = top,
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_59,plain,
join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_56]),c_0_41]) ).
cnf(c_0_60,plain,
join(converse(X1),converse(complement(X1))) = top,
inference(rw,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_61,plain,
join(X1,zero) = X1,
inference(spm,[status(thm)],[c_0_22,c_0_38]) ).
cnf(c_0_62,plain,
join(converse(X1),complement(converse(complement(X1)))) = converse(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_31]),c_0_61]) ).
cnf(c_0_63,plain,
join(X1,converse(complement(converse(complement(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_62]),c_0_19]),c_0_19]) ).
cnf(c_0_64,plain,
join(X1,converse(complement(converse(X1)))) = top,
inference(spm,[status(thm)],[c_0_60,c_0_19]) ).
cnf(c_0_65,axiom,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
composition_distributivity_7 ).
cnf(c_0_66,plain,
join(converse(zero),converse(X1)) = converse(X1),
inference(spm,[status(thm)],[c_0_49,c_0_38]) ).
cnf(c_0_67,plain,
join(complement(X1),converse(complement(converse(X1)))) = complement(X1),
inference(spm,[status(thm)],[c_0_63,c_0_39]) ).
cnf(c_0_68,plain,
join(X1,complement(converse(complement(converse(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_64]),c_0_31]),c_0_61]) ).
cnf(c_0_69,negated_conjecture,
join(sk2,one) = one,
goals_15 ).
cnf(c_0_70,plain,
join(X1,join(complement(X1),X2)) = top,
inference(rw,[status(thm)],[c_0_43,c_0_50]) ).
cnf(c_0_71,plain,
composition(converse(X1),join(converse(X2),converse(X3))) = join(composition(converse(X1),converse(X2)),composition(converse(X1),converse(X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_65]),c_0_49]),c_0_16]),c_0_16]),c_0_49]) ).
cnf(c_0_72,plain,
join(converse(zero),X1) = X1,
inference(spm,[status(thm)],[c_0_66,c_0_19]) ).
cnf(c_0_73,plain,
complement(converse(complement(converse(X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_67]),c_0_39]),c_0_22]),c_0_68]) ).
cnf(c_0_74,negated_conjecture,
join(one,converse(sk2)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_69]),c_0_23]),c_0_22]),c_0_23]) ).
cnf(c_0_75,negated_conjecture,
join(sk1,one) = one,
goals_14 ).
cnf(c_0_76,negated_conjecture,
join(sk2,join(one,X1)) = join(one,X1),
inference(spm,[status(thm)],[c_0_33,c_0_69]) ).
cnf(c_0_77,plain,
join(X1,join(X2,complement(X1))) = top,
inference(spm,[status(thm)],[c_0_70,c_0_22]) ).
cnf(c_0_78,plain,
composition(converse(X1),join(one,converse(X2))) = join(converse(X1),composition(converse(X1),converse(X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_23]),c_0_17]),c_0_22]),c_0_22]) ).
cnf(c_0_79,negated_conjecture,
join(X1,composition(sk2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_69]),c_0_27]),c_0_22]),c_0_27]) ).
cnf(c_0_80,plain,
join(converse(complement(X1)),composition(converse(complement(composition(X2,X1))),X2)) = converse(complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_26]),c_0_16]),c_0_19]) ).
cnf(c_0_81,plain,
converse(zero) = zero,
inference(spm,[status(thm)],[c_0_61,c_0_72]) ).
cnf(c_0_82,plain,
converse(complement(converse(X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_39,c_0_73]) ).
cnf(c_0_83,negated_conjecture,
join(X1,composition(converse(sk2),X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_74]),c_0_27]),c_0_27]) ).
cnf(c_0_84,negated_conjecture,
join(one,converse(sk1)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_75]),c_0_23]),c_0_22]),c_0_23]) ).
cnf(c_0_85,negated_conjecture,
join(one,complement(sk2)) = top,
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_86,plain,
composition(X1,join(one,converse(X2))) = join(X1,composition(X1,converse(X2))),
inference(spm,[status(thm)],[c_0_78,c_0_19]) ).
cnf(c_0_87,negated_conjecture,
join(X1,join(composition(sk2,X1),X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_33,c_0_79]) ).
cnf(c_0_88,plain,
composition(converse(complement(composition(X1,top))),X1) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_31]),c_0_81]),c_0_38]),c_0_81]) ).
cnf(c_0_89,plain,
converse(complement(X1)) = complement(converse(X1)),
inference(spm,[status(thm)],[c_0_19,c_0_82]) ).
cnf(c_0_90,negated_conjecture,
join(converse(X1),composition(converse(X1),sk2)) = converse(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_83]),c_0_16]),c_0_19]) ).
cnf(c_0_91,negated_conjecture,
join(X1,composition(converse(sk1),X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_84]),c_0_27]),c_0_27]) ).
cnf(c_0_92,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_22]),c_0_33]) ).
cnf(c_0_93,negated_conjecture,
join(X1,composition(complement(sk2),X1)) = composition(top,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_85]),c_0_27]) ).
cnf(c_0_94,plain,
composition(X1,join(one,X2)) = join(X1,composition(X1,X2)),
inference(spm,[status(thm)],[c_0_86,c_0_19]) ).
cnf(c_0_95,negated_conjecture,
join(X1,composition(converse(sk2),composition(sk2,X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_83]),c_0_79]) ).
cnf(c_0_96,plain,
join(composition(X1,X2),composition(complement(X1),X2)) = composition(top,X2),
inference(spm,[status(thm)],[c_0_65,c_0_29]) ).
cnf(c_0_97,plain,
composition(complement(composition(top,converse(X1))),X1) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_89]),c_0_16]),c_0_58]) ).
cnf(c_0_98,axiom,
composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
composition_associativity_5 ).
cnf(c_0_99,plain,
join(complement(X1),join(X1,X2)) = top,
inference(spm,[status(thm)],[c_0_70,c_0_39]) ).
cnf(c_0_100,negated_conjecture,
join(X1,composition(X1,sk2)) = X1,
inference(spm,[status(thm)],[c_0_90,c_0_19]) ).
cnf(c_0_101,negated_conjecture,
join(converse(X1),composition(converse(X1),sk1)) = converse(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_91]),c_0_16]),c_0_19]) ).
cnf(c_0_102,negated_conjecture,
join(X1,join(X2,composition(complement(sk2),X1))) = join(X2,composition(top,X1)),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_103,negated_conjecture,
join(X1,composition(X1,composition(converse(sk2),sk2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_17]),c_0_17]) ).
cnf(c_0_104,plain,
composition(top,composition(converse(X1),X1)) = composition(top,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_39]),c_0_98]),c_0_38]) ).
cnf(c_0_105,negated_conjecture,
join(complement(X1),composition(top,X1)) = top,
inference(spm,[status(thm)],[c_0_99,c_0_93]) ).
cnf(c_0_106,negated_conjecture,
join(sk1,join(one,X1)) = join(one,X1),
inference(spm,[status(thm)],[c_0_33,c_0_75]) ).
cnf(c_0_107,negated_conjecture,
join(X1,composition(sk1,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_75]),c_0_27]),c_0_22]),c_0_27]) ).
cnf(c_0_108,negated_conjecture,
join(X1,join(composition(X1,sk2),X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_33,c_0_100]) ).
cnf(c_0_109,negated_conjecture,
join(X1,composition(X1,sk1)) = X1,
inference(spm,[status(thm)],[c_0_101,c_0_19]) ).
cnf(c_0_110,plain,
join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
inference(spm,[status(thm)],[c_0_59,c_0_22]) ).
cnf(c_0_111,negated_conjecture,
join(complement(sk2),composition(converse(sk2),sk2)) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]),c_0_105]),c_0_22]) ).
cnf(c_0_112,negated_conjecture,
join(one,complement(sk1)) = top,
inference(spm,[status(thm)],[c_0_106,c_0_77]) ).
cnf(c_0_113,negated_conjecture,
join(X1,join(composition(sk1,X1),X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_33,c_0_107]) ).
cnf(c_0_114,negated_conjecture,
join(X1,composition(X1,composition(sk2,sk1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_100]),c_0_98]) ).
cnf(c_0_115,negated_conjecture,
join(one,converse(complement(sk2))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_85]),c_0_23]),c_0_58]) ).
cnf(c_0_116,negated_conjecture,
composition(converse(sk2),sk2) = 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_110,c_0_111]),c_0_31]),c_0_61]),c_0_39]),c_0_22]),c_0_83]) ).
cnf(c_0_117,negated_conjecture,
join(X1,join(X2,composition(X1,sk1))) = join(X2,X1),
inference(spm,[status(thm)],[c_0_92,c_0_109]) ).
cnf(c_0_118,negated_conjecture,
join(composition(top,composition(X1,X2)),composition(complement(X1),X2)) = composition(top,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_105]),c_0_98]),c_0_22]) ).
cnf(c_0_119,negated_conjecture,
join(X1,composition(complement(sk1),X1)) = composition(top,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_112]),c_0_27]) ).
cnf(c_0_120,negated_conjecture,
join(X1,composition(converse(sk1),composition(sk1,X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_91]),c_0_107]) ).
cnf(c_0_121,negated_conjecture,
join(X1,join(X2,composition(X1,composition(sk2,sk1)))) = join(X2,X1),
inference(spm,[status(thm)],[c_0_92,c_0_114]) ).
cnf(c_0_122,negated_conjecture,
join(X1,composition(converse(complement(sk2)),X1)) = composition(top,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_115]),c_0_27]) ).
cnf(c_0_123,negated_conjecture,
converse(sk2) = sk2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_116]),c_0_19]),c_0_116]) ).
cnf(c_0_124,negated_conjecture,
join(complement(X1),composition(top,composition(X1,sk1))) = join(complement(X1),composition(top,sk1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_22]) ).
cnf(c_0_125,negated_conjecture,
join(complement(sk2),composition(top,sk1)) = join(sk1,complement(sk2)),
inference(spm,[status(thm)],[c_0_117,c_0_93]) ).
cnf(c_0_126,negated_conjecture,
join(X1,join(X2,composition(complement(sk1),X1))) = join(X2,composition(top,X1)),
inference(spm,[status(thm)],[c_0_92,c_0_119]) ).
cnf(c_0_127,negated_conjecture,
join(X1,composition(X1,composition(converse(sk1),sk1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_120]),c_0_17]),c_0_17]) ).
cnf(c_0_128,plain,
composition(X1,join(converse(X2),converse(X3))) = join(composition(X1,converse(X2)),composition(X1,converse(X3))),
inference(spm,[status(thm)],[c_0_71,c_0_19]) ).
cnf(c_0_129,negated_conjecture,
join(complement(sk2),composition(sk2,sk1)) = join(sk1,complement(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(spm,[status(thm)],[c_0_121,c_0_122]),c_0_89]),c_0_123]),c_0_124]),c_0_125]),c_0_89]),c_0_123]),c_0_22]) ).
cnf(c_0_130,negated_conjecture,
join(complement(X1),complement(composition(X1,sk1))) = complement(composition(X1,sk1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_109]),c_0_22]) ).
cnf(c_0_131,negated_conjecture,
join(complement(sk1),composition(converse(sk1),sk1)) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_104]),c_0_105]),c_0_22]) ).
cnf(c_0_132,plain,
composition(X1,join(converse(X2),X3)) = join(composition(X1,converse(X2)),composition(X1,X3)),
inference(spm,[status(thm)],[c_0_128,c_0_19]) ).
cnf(c_0_133,negated_conjecture,
complement(composition(sk2,sk1)) = join(complement(sk1),complement(sk2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_129]),c_0_110]),c_0_22]),c_0_130]) ).
cnf(c_0_134,negated_conjecture,
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(spm,[status(thm)],[c_0_110,c_0_131]),c_0_31]),c_0_61]),c_0_39]),c_0_22]),c_0_91]) ).
cnf(c_0_135,plain,
composition(X1,join(X2,X3)) = join(composition(X1,X2),composition(X1,X3)),
inference(spm,[status(thm)],[c_0_132,c_0_19]) ).
cnf(c_0_136,negated_conjecture,
join(complement(X1),complement(composition(sk2,X1))) = complement(composition(sk2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_79]),c_0_22]) ).
cnf(c_0_137,negated_conjecture,
composition(sk2,sk1) = complement(join(complement(sk1),complement(sk2))),
inference(spm,[status(thm)],[c_0_39,c_0_133]) ).
cnf(c_0_138,negated_conjecture,
converse(sk1) = sk1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_134]),c_0_19]),c_0_134]) ).
cnf(c_0_139,negated_conjecture,
join(X1,complement(join(composition(sk2,X1),X2))) = join(X1,complement(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_59]),c_0_87]) ).
cnf(c_0_140,plain,
join(composition(X1,X2),composition(X1,complement(X2))) = composition(X1,top),
inference(spm,[status(thm)],[c_0_135,c_0_29]) ).
cnf(c_0_141,negated_conjecture,
join(X1,complement(composition(sk2,complement(X1)))) = complement(composition(sk2,complement(X1))),
inference(spm,[status(thm)],[c_0_136,c_0_39]) ).
cnf(c_0_142,negated_conjecture,
join(complement(X1),complement(composition(sk1,X1))) = complement(composition(sk1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_107]),c_0_22]) ).
cnf(c_0_143,negated_conjecture,
meet(composition(sk1,sk3),composition(sk2,sk3)) != composition(meet(sk1,sk2),sk3),
goals_16 ).
cnf(c_0_144,negated_conjecture,
composition(sk1,sk2) = complement(join(complement(sk1),complement(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(spm,[status(thm)],[c_0_16,c_0_137]),c_0_89]),c_0_49]),c_0_89]),c_0_138]),c_0_89]),c_0_123]),c_0_138]),c_0_123]) ).
cnf(c_0_145,negated_conjecture,
composition(complement(join(complement(sk1),complement(sk2))),X1) = composition(sk2,composition(sk1,X1)),
inference(spm,[status(thm)],[c_0_98,c_0_137]) ).
cnf(c_0_146,negated_conjecture,
complement(composition(sk2,complement(X1))) = join(X1,complement(composition(sk2,top))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_141]) ).
cnf(c_0_147,negated_conjecture,
join(X1,complement(join(composition(sk1,X1),X2))) = join(X1,complement(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_59]),c_0_113]) ).
cnf(c_0_148,negated_conjecture,
join(X1,complement(composition(sk1,complement(X1)))) = complement(composition(sk1,complement(X1))),
inference(spm,[status(thm)],[c_0_142,c_0_39]) ).
cnf(c_0_149,negated_conjecture,
join(X1,join(X2,composition(sk1,X1))) = join(X2,X1),
inference(spm,[status(thm)],[c_0_92,c_0_107]) ).
cnf(c_0_150,negated_conjecture,
complement(join(complement(composition(sk1,sk3)),complement(composition(sk2,sk3)))) != composition(complement(join(complement(sk1),complement(sk2))),sk3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_25]),c_0_25]) ).
cnf(c_0_151,negated_conjecture,
composition(sk2,composition(sk1,X1)) = composition(sk1,composition(sk2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_144]),c_0_145]) ).
cnf(c_0_152,negated_conjecture,
composition(sk2,complement(X1)) = complement(join(X1,complement(composition(sk2,top)))),
inference(spm,[status(thm)],[c_0_39,c_0_146]) ).
cnf(c_0_153,negated_conjecture,
complement(composition(sk1,complement(X1))) = join(X1,complement(composition(sk1,top))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_140]),c_0_148]) ).
cnf(c_0_154,negated_conjecture,
join(X1,complement(join(X2,composition(sk1,X1)))) = join(X1,complement(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_149]),c_0_110]) ).
cnf(c_0_155,negated_conjecture,
composition(sk1,composition(sk2,sk3)) != complement(join(complement(composition(sk1,sk3)),complement(composition(sk2,sk3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_145]),c_0_151]) ).
cnf(c_0_156,negated_conjecture,
composition(sk2,X1) = complement(join(complement(X1),complement(composition(sk2,top)))),
inference(spm,[status(thm)],[c_0_152,c_0_39]) ).
cnf(c_0_157,negated_conjecture,
composition(sk1,complement(X1)) = complement(join(X1,complement(composition(sk1,top)))),
inference(spm,[status(thm)],[c_0_39,c_0_153]) ).
cnf(c_0_158,negated_conjecture,
join(complement(X1),complement(composition(sk1,top))) = complement(composition(sk1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_140]),c_0_142]) ).
cnf(c_0_159,negated_conjecture,
$false,
inference(cn,[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)],[c_0_155,c_0_156]),c_0_157]),c_0_33]),c_0_22]),c_0_158]),c_0_156]),c_0_39]),c_0_33]),c_0_92]),c_0_41])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL029-1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 22:40:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.52/0.58 start to proof: theBenchmark
% 286.66/286.57 % Version : CSE_E---1.5
% 286.66/286.57 % Problem : theBenchmark.p
% 286.66/286.57 % Proof found
% 286.66/286.57 % SZS status Theorem for theBenchmark.p
% 286.66/286.57 % SZS output start Proof
% See solution above
% 286.66/286.58 % Total time : 286.004000 s
% 286.66/286.58 % SZS output end Proof
% 286.66/286.58 % Total time : 286.020000 s
%------------------------------------------------------------------------------