TSTP Solution File: REL042+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : REL042+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n011.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 : 600s
% DateTime : Mon Jul 18 19:20:12 EDT 2022
% Result : Theorem 0.23s 1.40s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 13
% Syntax : Number of formulae : 126 ( 123 unt; 0 def)
% Number of atoms : 129 ( 128 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 1 avg)
% Maximal term depth : 8 ( 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 : 162 ( 8 sgn 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(converse_multiplicativity,axiom,
! [X1,X2] : converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_multiplicativity) ).
fof(converse_idempotence,axiom,
! [X1] : converse(converse(X1)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
fof(composition_identity,axiom,
! [X1] : composition(X1,one) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',composition_identity) ).
fof(def_zero,axiom,
! [X1] : zero = meet(X1,complement(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',def_zero) ).
fof(maddux4_definiton_of_meet,axiom,
! [X1,X2] : meet(X1,X2) = complement(join(complement(X1),complement(X2))),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux4_definiton_of_meet) ).
fof(maddux3_a_kind_of_de_Morgan,axiom,
! [X1,X2] : 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) ).
fof(maddux1_join_commutativity,axiom,
! [X1,X2] : join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux1_join_commutativity) ).
fof(converse_cancellativity,axiom,
! [X1,X2] : join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_cancellativity) ).
fof(def_top,axiom,
! [X1] : top = join(X1,complement(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',def_top) ).
fof(maddux2_join_associativity,axiom,
! [X1,X2,X3] : join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux2_join_associativity) ).
fof(converse_additivity,axiom,
! [X1,X2] : converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_additivity) ).
fof(goals,conjecture,
! [X1] :
( ! [X2] : meet(composition(X1,X2),composition(X1,complement(X2))) = zero
=> join(composition(converse(X1),X1),one) = one ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',goals) ).
fof(composition_distributivity,axiom,
! [X1,X2,X3] : composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',composition_distributivity) ).
fof(c_0_13,plain,
! [X3,X4] : converse(composition(X3,X4)) = composition(converse(X4),converse(X3)),
inference(variable_rename,[status(thm)],[converse_multiplicativity]) ).
fof(c_0_14,plain,
! [X2] : converse(converse(X2)) = X2,
inference(variable_rename,[status(thm)],[converse_idempotence]) ).
cnf(c_0_15,plain,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_16,plain,
converse(converse(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_17,plain,
! [X2] : composition(X2,one) = X2,
inference(variable_rename,[status(thm)],[composition_identity]) ).
cnf(c_0_18,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
composition(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_20,plain,
! [X2] : zero = meet(X2,complement(X2)),
inference(variable_rename,[status(thm)],[def_zero]) ).
fof(c_0_21,plain,
! [X3,X4] : meet(X3,X4) = complement(join(complement(X3),complement(X4))),
inference(variable_rename,[status(thm)],[maddux4_definiton_of_meet]) ).
fof(c_0_22,plain,
! [X3,X4] : X3 = join(complement(join(complement(X3),complement(X4))),complement(join(complement(X3),X4))),
inference(variable_rename,[status(thm)],[maddux3_a_kind_of_de_Morgan]) ).
fof(c_0_23,plain,
! [X3,X4] : join(X3,X4) = join(X4,X3),
inference(variable_rename,[status(thm)],[maddux1_join_commutativity]) ).
fof(c_0_24,plain,
! [X3,X4] : join(composition(converse(X3),complement(composition(X3,X4))),complement(X4)) = complement(X4),
inference(variable_rename,[status(thm)],[converse_cancellativity]) ).
cnf(c_0_25,plain,
composition(converse(one),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_16]) ).
cnf(c_0_26,plain,
zero = meet(X1,complement(X1)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,plain,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_28,plain,
! [X2] : top = join(X2,complement(X2)),
inference(variable_rename,[status(thm)],[def_top]) ).
cnf(c_0_29,plain,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,plain,
join(X1,X2) = join(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_31,plain,
! [X4,X5,X6] : join(X4,join(X5,X6)) = join(join(X4,X5),X6),
inference(variable_rename,[status(thm)],[maddux2_join_associativity]) ).
cnf(c_0_32,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_19,c_0_25]) ).
cnf(c_0_34,plain,
zero = complement(join(complement(X1),complement(complement(X1)))),
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_35,plain,
top = join(X1,complement(X1)),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_37,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_32,c_0_30]) ).
cnf(c_0_39,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_25,c_0_33]) ).
cnf(c_0_40,plain,
complement(top) = zero,
inference(rw,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,plain,
join(complement(X1),complement(join(complement(X1),join(complement(X2),complement(join(complement(X1),X2)))))) = join(complement(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_36]),c_0_30]),c_0_37]),c_0_30]) ).
cnf(c_0_42,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_33]),c_0_39]) ).
cnf(c_0_43,plain,
join(zero,complement(join(complement(X1),complement(X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_35]),c_0_40]),c_0_30]) ).
cnf(c_0_44,plain,
join(zero,complement(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_41,c_0_42]),c_0_42]),c_0_35]),c_0_40]),c_0_30]) ).
cnf(c_0_45,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_42]),c_0_44]) ).
fof(c_0_46,plain,
! [X3,X4] : converse(join(X3,X4)) = join(converse(X3),converse(X4)),
inference(variable_rename,[status(thm)],[converse_additivity]) ).
cnf(c_0_47,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_42,c_0_45]) ).
cnf(c_0_48,plain,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_49,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(spm,[status(thm)],[c_0_35,c_0_37]) ).
cnf(c_0_50,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_37,c_0_47]) ).
cnf(c_0_51,plain,
converse(join(converse(X1),X2)) = join(X1,converse(X2)),
inference(spm,[status(thm)],[c_0_48,c_0_16]) ).
cnf(c_0_52,plain,
join(X1,top) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_47]),c_0_35]) ).
cnf(c_0_53,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_36,c_0_30]) ).
cnf(c_0_54,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_30]),c_0_37]) ).
cnf(c_0_55,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_36]),c_0_30]) ).
cnf(c_0_56,plain,
join(X1,converse(complement(converse(X1)))) = converse(top),
inference(spm,[status(thm)],[c_0_51,c_0_35]) ).
cnf(c_0_57,plain,
join(top,X1) = top,
inference(spm,[status(thm)],[c_0_30,c_0_52]) ).
fof(c_0_58,negated_conjecture,
~ ! [X1] :
( ! [X2] : meet(composition(X1,X2),composition(X1,complement(X2))) = zero
=> join(composition(converse(X1),X1),one) = one ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_59,plain,
join(complement(X1),complement(join(complement(X1),X2))) = join(complement(X2),complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_53]),c_0_54]),c_0_30]),c_0_55]),c_0_30]) ).
cnf(c_0_60,plain,
converse(top) = top,
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_61,plain,
join(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
fof(c_0_62,negated_conjecture,
! [X4] :
( meet(composition(esk1_0,X4),composition(esk1_0,complement(X4))) = zero
& join(composition(converse(esk1_0),esk1_0),one) != one ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])])])])]) ).
cnf(c_0_63,plain,
join(X1,complement(join(X1,X2))) = join(complement(X2),X1),
inference(spm,[status(thm)],[c_0_59,c_0_45]) ).
cnf(c_0_64,plain,
join(X1,converse(complement(converse(X1)))) = top,
inference(rw,[status(thm)],[c_0_56,c_0_60]) ).
cnf(c_0_65,plain,
join(X1,zero) = X1,
inference(spm,[status(thm)],[c_0_30,c_0_61]) ).
cnf(c_0_66,negated_conjecture,
meet(composition(esk1_0,X1),composition(esk1_0,complement(X1))) = zero,
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_67,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X2),complement(X1)))) = X2,
inference(spm,[status(thm)],[c_0_36,c_0_30]) ).
cnf(c_0_68,plain,
join(X1,complement(converse(complement(converse(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_40]),c_0_65]),c_0_30]) ).
cnf(c_0_69,plain,
join(complement(one),composition(converse(X1),complement(X1))) = complement(one),
inference(spm,[status(thm)],[c_0_38,c_0_19]) ).
cnf(c_0_70,negated_conjecture,
complement(join(complement(composition(esk1_0,X1)),complement(composition(esk1_0,complement(X1))))) = zero,
inference(rw,[status(thm)],[c_0_66,c_0_27]) ).
cnf(c_0_71,plain,
join(zero,composition(converse(X1),complement(composition(X1,top)))) = zero,
inference(spm,[status(thm)],[c_0_38,c_0_40]) ).
cnf(c_0_72,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_67]),c_0_30]) ).
cnf(c_0_73,plain,
join(X1,converse(complement(converse(complement(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_68]),c_0_16]),c_0_16]) ).
fof(c_0_74,plain,
! [X4,X5,X6] : composition(join(X4,X5),X6) = join(composition(X4,X6),composition(X5,X6)),
inference(variable_rename,[status(thm)],[composition_distributivity]) ).
cnf(c_0_75,plain,
join(complement(one),composition(converse(complement(X1)),X1)) = complement(one),
inference(spm,[status(thm)],[c_0_69,c_0_45]) ).
cnf(c_0_76,negated_conjecture,
complement(join(complement(esk1_0),complement(composition(esk1_0,complement(one))))) = zero,
inference(spm,[status(thm)],[c_0_70,c_0_19]) ).
cnf(c_0_77,plain,
join(zero,zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_39]),c_0_33]),c_0_40]),c_0_39]) ).
cnf(c_0_78,plain,
join(complement(X1),complement(join(X2,X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_72,c_0_45]) ).
cnf(c_0_79,plain,
join(complement(X1),converse(complement(converse(X1)))) = complement(X1),
inference(spm,[status(thm)],[c_0_73,c_0_45]) ).
cnf(c_0_80,plain,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_81,plain,
converse(join(X1,converse(X2))) = join(converse(X1),X2),
inference(spm,[status(thm)],[c_0_48,c_0_16]) ).
cnf(c_0_82,plain,
join(complement(one),converse(complement(one))) = complement(one),
inference(spm,[status(thm)],[c_0_75,c_0_19]) ).
cnf(c_0_83,negated_conjecture,
join(complement(esk1_0),complement(composition(esk1_0,complement(one)))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_76]),c_0_77]),c_0_35]) ).
cnf(c_0_84,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_78,c_0_79]),c_0_45]),c_0_30]),c_0_68]) ).
cnf(c_0_85,negated_conjecture,
join(zero,complement(join(complement(esk1_0),composition(esk1_0,complement(one))))) = esk1_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_76]),c_0_30]) ).
cnf(c_0_86,plain,
join(X1,composition(X2,X1)) = composition(join(one,X2),X1),
inference(spm,[status(thm)],[c_0_80,c_0_39]) ).
cnf(c_0_87,plain,
converse(complement(one)) = complement(one),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_30]),c_0_82]) ).
cnf(c_0_88,plain,
converse(join(X1,join(converse(X2),X3))) = join(converse(X1),join(X2,converse(X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_51]),c_0_37]),c_0_37]) ).
cnf(c_0_89,negated_conjecture,
join(complement(esk1_0),join(X1,complement(composition(esk1_0,complement(one))))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_83]),c_0_52]) ).
cnf(c_0_90,plain,
converse(complement(converse(X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_45,c_0_84]) ).
cnf(c_0_91,negated_conjecture,
complement(join(complement(esk1_0),composition(esk1_0,complement(one)))) = esk1_0,
inference(rw,[status(thm)],[c_0_85,c_0_44]) ).
cnf(c_0_92,plain,
join(X1,composition(complement(one),X1)) = composition(top,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_64]),c_0_33]),c_0_87]) ).
cnf(c_0_93,plain,
converse(composition(X1,converse(X2))) = composition(X2,converse(X1)),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_94,negated_conjecture,
join(converse(complement(esk1_0)),join(X1,converse(complement(composition(esk1_0,complement(one)))))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_60]) ).
cnf(c_0_95,plain,
converse(complement(X1)) = complement(converse(X1)),
inference(spm,[status(thm)],[c_0_16,c_0_90]) ).
cnf(c_0_96,plain,
converse(composition(X1,complement(one))) = composition(complement(one),converse(X1)),
inference(spm,[status(thm)],[c_0_15,c_0_87]) ).
cnf(c_0_97,plain,
join(complement(join(X1,X2)),complement(join(complement(X2),X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_53,c_0_45]) ).
cnf(c_0_98,negated_conjecture,
join(complement(esk1_0),composition(esk1_0,complement(one))) = complement(esk1_0),
inference(spm,[status(thm)],[c_0_45,c_0_91]) ).
cnf(c_0_99,plain,
join(X1,composition(X1,complement(one))) = composition(X1,top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_92]),c_0_93]),c_0_60]),c_0_93]),c_0_87]) ).
cnf(c_0_100,negated_conjecture,
join(complement(converse(esk1_0)),join(X1,complement(composition(complement(one),converse(esk1_0))))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_95]),c_0_95]),c_0_96]) ).
cnf(c_0_101,negated_conjecture,
complement(composition(esk1_0,complement(one))) = join(esk1_0,complement(composition(esk1_0,top))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_30]),c_0_99]),c_0_45]),c_0_30]) ).
cnf(c_0_102,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X1),complement(X2)))) = X2,
inference(spm,[status(thm)],[c_0_53,c_0_30]) ).
cnf(c_0_103,negated_conjecture,
join(complement(converse(esk1_0)),complement(composition(complement(one),converse(esk1_0)))) = top,
inference(spm,[status(thm)],[c_0_50,c_0_100]) ).
cnf(c_0_104,plain,
converse(join(X1,composition(converse(X2),X3))) = join(converse(X1),composition(converse(X3),X2)),
inference(spm,[status(thm)],[c_0_48,c_0_18]) ).
cnf(c_0_105,negated_conjecture,
join(one,composition(converse(esk1_0),join(esk1_0,complement(composition(esk1_0,top))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_101]),c_0_45]),c_0_45]) ).
cnf(c_0_106,plain,
join(converse(zero),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_61]),c_0_16]) ).
cnf(c_0_107,plain,
join(complement(join(X1,X2)),complement(join(X1,complement(X2)))) = complement(X1),
inference(spm,[status(thm)],[c_0_36,c_0_45]) ).
cnf(c_0_108,negated_conjecture,
complement(join(converse(esk1_0),complement(composition(complement(one),converse(esk1_0))))) = composition(complement(one),converse(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_40]),c_0_45]),c_0_61]) ).
cnf(c_0_109,negated_conjecture,
join(one,composition(converse(join(esk1_0,complement(composition(esk1_0,top)))),esk1_0)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_33]),c_0_33]) ).
cnf(c_0_110,negated_conjecture,
converse(join(esk1_0,complement(composition(esk1_0,top)))) = complement(composition(complement(one),converse(esk1_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_101]),c_0_96]) ).
cnf(c_0_111,plain,
join(composition(X1,converse(X2)),converse(composition(X2,X3))) = composition(join(X1,converse(X3)),converse(X2)),
inference(spm,[status(thm)],[c_0_80,c_0_15]) ).
cnf(c_0_112,plain,
composition(converse(X1),complement(composition(X1,top))) = zero,
inference(rw,[status(thm)],[c_0_71,c_0_61]) ).
cnf(c_0_113,plain,
converse(zero) = zero,
inference(spm,[status(thm)],[c_0_65,c_0_106]) ).
cnf(c_0_114,plain,
converse(composition(X1,top)) = composition(top,converse(X1)),
inference(spm,[status(thm)],[c_0_15,c_0_60]) ).
cnf(c_0_115,plain,
join(complement(join(X1,X2)),complement(join(X2,complement(X1)))) = complement(X2),
inference(spm,[status(thm)],[c_0_67,c_0_45]) ).
cnf(c_0_116,negated_conjecture,
join(complement(composition(top,converse(esk1_0))),composition(complement(one),converse(esk1_0))) = complement(converse(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_45]),c_0_92]),c_0_30]) ).
cnf(c_0_117,plain,
converse(join(one,X1)) = join(one,converse(X1)),
inference(spm,[status(thm)],[c_0_48,c_0_33]) ).
cnf(c_0_118,negated_conjecture,
join(one,composition(complement(composition(complement(one),converse(esk1_0))),esk1_0)) = one,
inference(rw,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_119,plain,
composition(join(X1,complement(composition(top,converse(X2)))),X2) = composition(X1,X2),
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_111,c_0_112]),c_0_16]),c_0_113]),c_0_65]),c_0_16]),c_0_95]),c_0_114]) ).
cnf(c_0_120,negated_conjecture,
join(converse(esk1_0),complement(composition(top,converse(esk1_0)))) = complement(composition(complement(one),converse(esk1_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_45]),c_0_45]),c_0_80]),c_0_52]) ).
cnf(c_0_121,negated_conjecture,
join(composition(converse(esk1_0),esk1_0),one) != one,
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_122,negated_conjecture,
join(one,converse(composition(complement(composition(complement(one),converse(esk1_0))),esk1_0))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_33]) ).
cnf(c_0_123,negated_conjecture,
composition(complement(composition(complement(one),converse(esk1_0))),esk1_0) = composition(converse(esk1_0),esk1_0),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_124,negated_conjecture,
join(one,composition(converse(esk1_0),esk1_0)) != one,
inference(rw,[status(thm)],[c_0_121,c_0_30]) ).
cnf(c_0_125,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_123]),c_0_18]),c_0_124]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : REL042+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 12:18:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.23/1.40 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.23/1.40 # Preprocessing time : 0.014 s
% 0.23/1.40
% 0.23/1.40 # Proof found!
% 0.23/1.40 # SZS status Theorem
% 0.23/1.40 # SZS output start CNFRefutation
% See solution above
% 0.23/1.40 # Proof object total steps : 126
% 0.23/1.40 # Proof object clause steps : 99
% 0.23/1.40 # Proof object formula steps : 27
% 0.23/1.40 # Proof object conjectures : 27
% 0.23/1.40 # Proof object clause conjectures : 24
% 0.23/1.40 # Proof object formula conjectures : 3
% 0.23/1.40 # Proof object initial clauses used : 14
% 0.23/1.40 # Proof object initial formulas used : 13
% 0.23/1.40 # Proof object generating inferences : 71
% 0.23/1.40 # Proof object simplifying inferences : 92
% 0.23/1.40 # Training examples: 0 positive, 0 negative
% 0.23/1.40 # Parsed axioms : 14
% 0.23/1.40 # Removed by relevancy pruning/SinE : 0
% 0.23/1.40 # Initial clauses : 15
% 0.23/1.40 # Removed in clause preprocessing : 1
% 0.23/1.40 # Initial clauses in saturation : 14
% 0.23/1.40 # Processed clauses : 2859
% 0.23/1.40 # ...of these trivial : 1609
% 0.23/1.40 # ...subsumed : 272
% 0.23/1.40 # ...remaining for further processing : 978
% 0.23/1.40 # Other redundant clauses eliminated : 0
% 0.23/1.40 # Clauses deleted for lack of memory : 0
% 0.23/1.40 # Backward-subsumed : 0
% 0.23/1.40 # Backward-rewritten : 393
% 0.23/1.40 # Generated clauses : 62218
% 0.23/1.40 # ...of the previous two non-trivial : 40375
% 0.23/1.40 # Contextual simplify-reflections : 0
% 0.23/1.40 # Paramodulations : 62218
% 0.23/1.40 # Factorizations : 0
% 0.23/1.40 # Equation resolutions : 0
% 0.23/1.40 # Current number of processed clauses : 585
% 0.23/1.40 # Positive orientable unit clauses : 575
% 0.23/1.40 # Positive unorientable unit clauses: 9
% 0.23/1.40 # Negative unit clauses : 1
% 0.23/1.40 # Non-unit-clauses : 0
% 0.23/1.40 # Current number of unprocessed clauses: 28972
% 0.23/1.40 # ...number of literals in the above : 28972
% 0.23/1.40 # Current number of archived formulas : 0
% 0.23/1.40 # Current number of archived clauses : 394
% 0.23/1.40 # Clause-clause subsumption calls (NU) : 0
% 0.23/1.40 # Rec. Clause-clause subsumption calls : 0
% 0.23/1.40 # Non-unit clause-clause subsumptions : 0
% 0.23/1.40 # Unit Clause-clause subsumption calls : 109
% 0.23/1.40 # Rewrite failures with RHS unbound : 0
% 0.23/1.40 # BW rewrite match attempts : 4413
% 0.23/1.40 # BW rewrite match successes : 343
% 0.23/1.40 # Condensation attempts : 0
% 0.23/1.40 # Condensation successes : 0
% 0.23/1.40 # Termbank termtop insertions : 1149413
% 0.23/1.40
% 0.23/1.40 # -------------------------------------------------
% 0.23/1.40 # User time : 0.572 s
% 0.23/1.40 # System time : 0.030 s
% 0.23/1.40 # Total time : 0.602 s
% 0.23/1.40 # Maximum resident set size: 46108 pages
% 0.23/23.39 eprover: CPU time limit exceeded, terminating
% 0.23/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.41 eprover: No such file or directory
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------