TSTP Solution File: KLE124+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : KLE124+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n026.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 : Sun Jul 17 01:50:26 EDT 2022
% Result : Theorem 9.06s 2.59s
% Output : CNFRefutation 9.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 19
% Syntax : Number of formulae : 129 ( 126 unt; 0 def)
% Number of atoms : 138 ( 137 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 16 ( 7 ~; 0 |; 7 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 164 ( 10 sgn 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(domain3,axiom,
! [X4] : addition(antidomain(antidomain(X4)),antidomain(X4)) = one,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain3) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
fof(multiplicative_right_identity,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
fof(domain1,axiom,
! [X4] : multiplication(antidomain(X4),X4) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain1) ).
fof(additive_identity,axiom,
! [X1] : addition(X1,zero) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(additive_associativity,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).
fof(additive_idempotence,axiom,
! [X1] : addition(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
fof(codomain1,axiom,
! [X4] : multiplication(X4,coantidomain(X4)) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',codomain1) ).
fof(left_distributivity,axiom,
! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
fof(codomain3,axiom,
! [X4] : addition(coantidomain(coantidomain(X4)),coantidomain(X4)) = one,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',codomain3) ).
fof(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
fof(right_distributivity,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).
fof(domain2,axiom,
! [X4,X5] : addition(antidomain(multiplication(X4,X5)),antidomain(multiplication(X4,antidomain(antidomain(X5))))) = antidomain(multiplication(X4,antidomain(antidomain(X5)))),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain2) ).
fof(multiplicative_associativity,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).
fof(goals,conjecture,
! [X4,X5,X6,X7,X8] :
( ( addition(domain(X6),domain(X5)) = domain(X5)
& addition(backward_diamond(X4,domain(X5)),domain(X7)) = domain(X7)
& addition(domain(X7),domain(X8)) = domain(X8) )
=> addition(backward_diamond(X4,domain(X6)),domain(X8)) = domain(X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(backward_diamond,axiom,
! [X4,X5] : backward_diamond(X4,X5) = codomain(multiplication(codomain(X5),X4)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+6.ax',backward_diamond) ).
fof(codomain4,axiom,
! [X4] : codomain(X4) = coantidomain(coantidomain(X4)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',codomain4) ).
fof(codomain2,axiom,
! [X4,X5] : addition(coantidomain(multiplication(X4,X5)),coantidomain(multiplication(coantidomain(coantidomain(X4)),X5))) = coantidomain(multiplication(coantidomain(coantidomain(X4)),X5)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',codomain2) ).
fof(domain4,axiom,
! [X4] : domain(X4) = antidomain(antidomain(X4)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain4) ).
fof(c_0_19,plain,
! [X34] : addition(antidomain(antidomain(X34)),antidomain(X34)) = one,
inference(variable_rename,[status(thm)],[domain3]) ).
fof(c_0_20,plain,
! [X9,X10] : addition(X9,X10) = addition(X10,X9),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
fof(c_0_21,plain,
! [X19] : multiplication(X19,one) = X19,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
fof(c_0_22,plain,
! [X31] : multiplication(antidomain(X31),X31) = zero,
inference(variable_rename,[status(thm)],[domain1]) ).
fof(c_0_23,plain,
! [X14] : addition(X14,zero) = X14,
inference(variable_rename,[status(thm)],[additive_identity]) ).
fof(c_0_24,plain,
! [X11,X12,X13] : addition(X13,addition(X12,X11)) = addition(addition(X13,X12),X11),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
fof(c_0_25,plain,
! [X15] : addition(X15,X15) = X15,
inference(variable_rename,[status(thm)],[additive_idempotence]) ).
fof(c_0_26,plain,
! [X36] : multiplication(X36,coantidomain(X36)) = zero,
inference(variable_rename,[status(thm)],[codomain1]) ).
fof(c_0_27,plain,
! [X24,X25,X26] : multiplication(addition(X24,X25),X26) = addition(multiplication(X24,X26),multiplication(X25,X26)),
inference(variable_rename,[status(thm)],[left_distributivity]) ).
fof(c_0_28,plain,
! [X39] : addition(coantidomain(coantidomain(X39)),coantidomain(X39)) = one,
inference(variable_rename,[status(thm)],[codomain3]) ).
cnf(c_0_29,plain,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_30,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_31,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_32,plain,
multiplication(antidomain(X1),X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_34,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_35,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_36,plain,
! [X20] : multiplication(one,X20) = X20,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
cnf(c_0_37,plain,
multiplication(X1,coantidomain(X1)) = zero,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_38,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_39,plain,
! [X21,X22,X23] : multiplication(X21,addition(X22,X23)) = addition(multiplication(X21,X22),multiplication(X21,X23)),
inference(variable_rename,[status(thm)],[right_distributivity]) ).
cnf(c_0_40,plain,
addition(coantidomain(coantidomain(X1)),coantidomain(X1)) = one,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_41,plain,
! [X32,X33] : addition(antidomain(multiplication(X32,X33)),antidomain(multiplication(X32,antidomain(antidomain(X33))))) = antidomain(multiplication(X32,antidomain(antidomain(X33)))),
inference(variable_rename,[status(thm)],[domain2]) ).
cnf(c_0_42,plain,
addition(antidomain(X1),antidomain(antidomain(X1))) = one,
inference(rw,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_43,plain,
antidomain(one) = zero,
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_44,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_33,c_0_30]) ).
cnf(c_0_45,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_46,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_47,plain,
addition(multiplication(X1,coantidomain(addition(X1,X2))),multiplication(X2,coantidomain(addition(X1,X2)))) = zero,
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_48,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_49,plain,
! [X16,X17,X18] : multiplication(X16,multiplication(X17,X18)) = multiplication(multiplication(X16,X17),X18),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
cnf(c_0_50,plain,
addition(coantidomain(X1),coantidomain(coantidomain(X1))) = one,
inference(rw,[status(thm)],[c_0_40,c_0_30]) ).
cnf(c_0_51,plain,
addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2))))) = antidomain(multiplication(X1,antidomain(antidomain(X2)))),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_52,plain,
antidomain(zero) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).
cnf(c_0_53,plain,
addition(one,antidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_42]),c_0_30]) ).
cnf(c_0_54,plain,
addition(multiplication(antidomain(X1),X2),multiplication(antidomain(antidomain(X1)),X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_42]),c_0_46]) ).
fof(c_0_55,negated_conjecture,
~ ! [X4,X5,X6,X7,X8] :
( ( addition(domain(X6),domain(X5)) = domain(X5)
& addition(backward_diamond(X4,domain(X5)),domain(X7)) = domain(X7)
& addition(domain(X7),domain(X8)) = domain(X8) )
=> addition(backward_diamond(X4,domain(X6)),domain(X8)) = domain(X8) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_56,plain,
! [X46,X47] : backward_diamond(X46,X47) = codomain(multiplication(codomain(X47),X46)),
inference(variable_rename,[status(thm)],[backward_diamond]) ).
fof(c_0_57,plain,
! [X40] : codomain(X40) = coantidomain(coantidomain(X40)),
inference(variable_rename,[status(thm)],[codomain4]) ).
fof(c_0_58,plain,
! [X37,X38] : addition(coantidomain(multiplication(X37,X38)),coantidomain(multiplication(coantidomain(coantidomain(X37)),X38))) = coantidomain(multiplication(coantidomain(coantidomain(X37)),X38)),
inference(variable_rename,[status(thm)],[codomain2]) ).
cnf(c_0_59,plain,
coantidomain(one) = zero,
inference(spm,[status(thm)],[c_0_46,c_0_37]) ).
cnf(c_0_60,plain,
multiplication(X1,coantidomain(addition(X1,X2))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_47]),c_0_33]) ).
cnf(c_0_61,plain,
addition(multiplication(X1,antidomain(X2)),multiplication(X1,antidomain(antidomain(X2)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_42]),c_0_31]) ).
cnf(c_0_62,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_63,plain,
addition(multiplication(X1,coantidomain(X2)),multiplication(X1,coantidomain(coantidomain(X2)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_50]),c_0_31]) ).
cnf(c_0_64,plain,
antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_37]),c_0_52]),c_0_53]) ).
cnf(c_0_65,plain,
multiplication(antidomain(antidomain(X1)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_32]),c_0_44]) ).
fof(c_0_66,negated_conjecture,
( addition(domain(esk3_0),domain(esk2_0)) = domain(esk2_0)
& addition(backward_diamond(esk1_0,domain(esk2_0)),domain(esk4_0)) = domain(esk4_0)
& addition(domain(esk4_0),domain(esk5_0)) = domain(esk5_0)
& addition(backward_diamond(esk1_0,domain(esk3_0)),domain(esk5_0)) != domain(esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])]) ).
fof(c_0_67,plain,
! [X35] : domain(X35) = antidomain(antidomain(X35)),
inference(variable_rename,[status(thm)],[domain4]) ).
cnf(c_0_68,plain,
backward_diamond(X1,X2) = codomain(multiplication(codomain(X2),X1)),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_69,plain,
codomain(X1) = coantidomain(coantidomain(X1)),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_70,plain,
addition(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(coantidomain(coantidomain(X1)),X2))) = coantidomain(multiplication(coantidomain(coantidomain(X1)),X2)),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_71,plain,
coantidomain(zero) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_59]),c_0_44]) ).
cnf(c_0_72,plain,
addition(one,coantidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_50]),c_0_30]) ).
cnf(c_0_73,plain,
multiplication(X1,multiplication(antidomain(X2),coantidomain(X1))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]) ).
cnf(c_0_74,plain,
multiplication(X1,coantidomain(coantidomain(X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_37]),c_0_44]) ).
cnf(c_0_75,plain,
multiplication(antidomain(coantidomain(X1)),coantidomain(coantidomain(X1))) = antidomain(coantidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_32]),c_0_44]) ).
cnf(c_0_76,plain,
multiplication(X1,antidomain(antidomain(coantidomain(X1)))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_64]),c_0_46]) ).
cnf(c_0_77,plain,
antidomain(antidomain(antidomain(X1))) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_65]),c_0_32]),c_0_33]) ).
cnf(c_0_78,negated_conjecture,
addition(backward_diamond(esk1_0,domain(esk2_0)),domain(esk4_0)) = domain(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_79,plain,
domain(X1) = antidomain(antidomain(X1)),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_80,plain,
backward_diamond(X1,X2) = coantidomain(coantidomain(multiplication(coantidomain(coantidomain(X2)),X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_69]),c_0_69]) ).
cnf(c_0_81,plain,
coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),X1)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_32]),c_0_71]),c_0_72]) ).
cnf(c_0_82,plain,
addition(multiplication(coantidomain(X1),X2),multiplication(coantidomain(coantidomain(X1)),X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_50]),c_0_46]) ).
cnf(c_0_83,plain,
multiplication(coantidomain(antidomain(X1)),antidomain(X1)) = zero,
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_84,plain,
multiplication(coantidomain(X1),antidomain(coantidomain(X1))) = zero,
inference(spm,[status(thm)],[c_0_73,c_0_75]) ).
cnf(c_0_85,plain,
multiplication(X1,antidomain(coantidomain(X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_76]),c_0_77]),c_0_44]) ).
cnf(c_0_86,negated_conjecture,
addition(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk1_0))),antidomain(antidomain(esk4_0))) = antidomain(antidomain(esk4_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_79]),c_0_79]),c_0_79]),c_0_80]) ).
cnf(c_0_87,plain,
multiplication(coantidomain(coantidomain(antidomain(X1))),X1) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_81]),c_0_62]),c_0_31]) ).
cnf(c_0_88,plain,
multiplication(coantidomain(coantidomain(antidomain(X1))),antidomain(X1)) = antidomain(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_44]) ).
cnf(c_0_89,plain,
antidomain(coantidomain(coantidomain(X1))) = coantidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_84]),c_0_85]),c_0_33]) ).
cnf(c_0_90,plain,
addition(multiplication(antidomain(addition(X1,X2)),X1),multiplication(antidomain(addition(X1,X2)),X2)) = zero,
inference(spm,[status(thm)],[c_0_32,c_0_48]) ).
cnf(c_0_91,negated_conjecture,
addition(antidomain(antidomain(esk4_0)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk1_0)))) = antidomain(antidomain(esk4_0)),
inference(rw,[status(thm)],[c_0_86,c_0_30]) ).
cnf(c_0_92,plain,
coantidomain(coantidomain(antidomain(X1))) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_87]),c_0_77]),c_0_88]),c_0_33]),c_0_77]) ).
cnf(c_0_93,plain,
antidomain(coantidomain(X1)) = coantidomain(coantidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_89]),c_0_75]) ).
cnf(c_0_94,plain,
multiplication(antidomain(addition(X1,X2)),X1) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_90]),c_0_33]) ).
cnf(c_0_95,negated_conjecture,
addition(antidomain(antidomain(esk4_0)),coantidomain(coantidomain(multiplication(antidomain(antidomain(esk2_0)),esk1_0)))) = antidomain(antidomain(esk4_0)),
inference(rw,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_96,plain,
antidomain(antidomain(X1)) = coantidomain(antidomain(X1)),
inference(spm,[status(thm)],[c_0_93,c_0_92]) ).
cnf(c_0_97,negated_conjecture,
addition(domain(esk4_0),domain(esk5_0)) = domain(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_98,negated_conjecture,
addition(domain(esk3_0),domain(esk2_0)) = domain(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_99,plain,
multiplication(antidomain(addition(X1,X2)),X2) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_94]),c_0_44]) ).
cnf(c_0_100,negated_conjecture,
addition(coantidomain(antidomain(esk4_0)),coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk2_0)),esk1_0)))) = coantidomain(antidomain(esk4_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_96]),c_0_96]),c_0_96]) ).
cnf(c_0_101,negated_conjecture,
addition(antidomain(antidomain(esk4_0)),antidomain(antidomain(esk5_0))) = antidomain(antidomain(esk5_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_79]),c_0_79]),c_0_79]) ).
cnf(c_0_102,negated_conjecture,
addition(antidomain(antidomain(esk3_0)),antidomain(antidomain(esk2_0))) = antidomain(antidomain(esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_79]),c_0_79]),c_0_79]) ).
cnf(c_0_103,negated_conjecture,
multiplication(antidomain(esk4_0),coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk2_0)),esk1_0)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_93]),c_0_92]) ).
cnf(c_0_104,plain,
coantidomain(coantidomain(coantidomain(X1))) = coantidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_37]),c_0_74]),c_0_33]) ).
cnf(c_0_105,negated_conjecture,
addition(antidomain(antidomain(esk4_0)),addition(antidomain(antidomain(esk5_0)),X1)) = addition(antidomain(antidomain(esk5_0)),X1),
inference(spm,[status(thm)],[c_0_34,c_0_101]) ).
cnf(c_0_106,negated_conjecture,
addition(multiplication(antidomain(antidomain(esk3_0)),X1),multiplication(antidomain(antidomain(esk2_0)),X1)) = multiplication(antidomain(antidomain(esk2_0)),X1),
inference(spm,[status(thm)],[c_0_38,c_0_102]) ).
cnf(c_0_107,negated_conjecture,
multiplication(antidomain(esk4_0),coantidomain(multiplication(coantidomain(antidomain(esk2_0)),esk1_0))) = antidomain(esk4_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_103]),c_0_104]),c_0_44]) ).
cnf(c_0_108,negated_conjecture,
addition(antidomain(antidomain(esk4_0)),addition(X1,antidomain(antidomain(esk5_0)))) = addition(X1,antidomain(antidomain(esk5_0))),
inference(spm,[status(thm)],[c_0_105,c_0_30]) ).
cnf(c_0_109,plain,
addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
inference(spm,[status(thm)],[c_0_30,c_0_34]) ).
cnf(c_0_110,negated_conjecture,
addition(multiplication(coantidomain(antidomain(esk3_0)),X1),multiplication(coantidomain(antidomain(esk2_0)),X1)) = multiplication(coantidomain(antidomain(esk2_0)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_96]),c_0_96]),c_0_96]) ).
cnf(c_0_111,negated_conjecture,
multiplication(coantidomain(antidomain(esk2_0)),multiplication(esk1_0,antidomain(esk4_0))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_107]),c_0_62]) ).
cnf(c_0_112,negated_conjecture,
addition(backward_diamond(esk1_0,domain(esk3_0)),domain(esk5_0)) != domain(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_113,negated_conjecture,
addition(antidomain(antidomain(esk5_0)),addition(antidomain(antidomain(esk4_0)),X1)) = addition(X1,antidomain(antidomain(esk5_0))),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_114,plain,
addition(X1,multiplication(coantidomain(X2),X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_72]),c_0_46]),c_0_46]) ).
cnf(c_0_115,plain,
addition(coantidomain(multiplication(X1,multiplication(X2,X3))),coantidomain(multiplication(coantidomain(coantidomain(multiplication(X1,X2))),X3))) = coantidomain(multiplication(coantidomain(coantidomain(multiplication(X1,X2))),X3)),
inference(spm,[status(thm)],[c_0_70,c_0_62]) ).
cnf(c_0_116,negated_conjecture,
multiplication(coantidomain(antidomain(esk3_0)),multiplication(esk1_0,antidomain(esk4_0))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_33]) ).
cnf(c_0_117,negated_conjecture,
addition(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk3_0)))),esk1_0))),antidomain(antidomain(esk5_0))) != antidomain(antidomain(esk5_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_79]),c_0_79]),c_0_79]),c_0_80]) ).
cnf(c_0_118,negated_conjecture,
addition(multiplication(coantidomain(X1),antidomain(antidomain(esk4_0))),antidomain(antidomain(esk5_0))) = antidomain(antidomain(esk5_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_30]),c_0_101]) ).
cnf(c_0_119,negated_conjecture,
coantidomain(multiplication(coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk3_0)),esk1_0))),antidomain(esk4_0))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_71]),c_0_72]) ).
cnf(c_0_120,negated_conjecture,
addition(antidomain(antidomain(esk5_0)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk3_0)))),esk1_0)))) != antidomain(antidomain(esk5_0)),
inference(rw,[status(thm)],[c_0_117,c_0_30]) ).
cnf(c_0_121,negated_conjecture,
addition(antidomain(antidomain(esk5_0)),multiplication(coantidomain(X1),antidomain(antidomain(esk4_0)))) = antidomain(antidomain(esk5_0)),
inference(spm,[status(thm)],[c_0_30,c_0_118]) ).
cnf(c_0_122,plain,
addition(multiplication(X1,antidomain(X2)),multiplication(X1,coantidomain(antidomain(X2)))) = X1,
inference(rw,[status(thm)],[c_0_61,c_0_96]) ).
cnf(c_0_123,negated_conjecture,
multiplication(coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk3_0)),esk1_0))),antidomain(esk4_0)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_119]),c_0_62]),c_0_31]) ).
cnf(c_0_124,negated_conjecture,
addition(antidomain(antidomain(esk5_0)),coantidomain(coantidomain(multiplication(antidomain(antidomain(esk3_0)),esk1_0)))) != antidomain(antidomain(esk5_0)),
inference(rw,[status(thm)],[c_0_120,c_0_92]) ).
cnf(c_0_125,negated_conjecture,
addition(coantidomain(antidomain(esk5_0)),multiplication(coantidomain(X1),coantidomain(antidomain(esk4_0)))) = coantidomain(antidomain(esk5_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_96]),c_0_96]),c_0_96]) ).
cnf(c_0_126,negated_conjecture,
multiplication(coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk3_0)),esk1_0))),coantidomain(antidomain(esk4_0))) = coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk3_0)),esk1_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_44]) ).
cnf(c_0_127,negated_conjecture,
addition(coantidomain(antidomain(esk5_0)),coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk3_0)),esk1_0)))) != coantidomain(antidomain(esk5_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_96]),c_0_96]),c_0_96]) ).
cnf(c_0_128,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_127]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KLE124+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n026.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 : Thu Jun 16 14:23:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.43 # ENIGMATIC: Selected SinE mode:
% 0.19/0.44 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.44 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.44 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 9.06/2.59 # ENIGMATIC: Solved by autoschedule:
% 9.06/2.59 # No SInE strategy applied
% 9.06/2.59 # Trying AutoSched0 for 150 seconds
% 9.06/2.59 # AutoSched0-Mode selected heuristic G_E___200_B02_F1_AE_CS_SP_PI_S0Y
% 9.06/2.59 # and selection function SelectMaxLComplexAvoidPosPred.
% 9.06/2.59 #
% 9.06/2.59 # Preprocessing time : 0.025 s
% 9.06/2.59
% 9.06/2.59 # Proof found!
% 9.06/2.59 # SZS status Theorem
% 9.06/2.59 # SZS output start CNFRefutation
% See solution above
% 9.06/2.59 # Training examples: 0 positive, 0 negative
% 9.06/2.59
% 9.06/2.59 # -------------------------------------------------
% 9.06/2.59 # User time : 0.202 s
% 9.06/2.59 # System time : 0.014 s
% 9.06/2.59 # Total time : 0.216 s
% 9.06/2.59 # Maximum resident set size: 7120 pages
% 9.06/2.59
%------------------------------------------------------------------------------