TSTP Solution File: KLE087+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : KLE087+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% 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 : 600s
% DateTime : Sun Jul 17 01:55:47 EDT 2022
% Result : Theorem 0.31s 10.49s
% Output : CNFRefutation 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 19
% Syntax : Number of formulae : 255 ( 255 unt; 0 def)
% Number of atoms : 255 ( 254 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 452 ( 55 sgn 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(codomain3,axiom,
! [X4] : addition(coantidomain(coantidomain(X4)),coantidomain(X4)) = one,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',codomain3) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
fof(right_distributivity,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).
fof(multiplicative_right_identity,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
fof(additive_identity,axiom,
! [X1] : addition(X1,zero) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(left_distributivity,axiom,
! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
fof(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
fof(codomain1,axiom,
! [X4] : multiplication(X4,coantidomain(X4)) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',codomain1) ).
fof(additive_associativity,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).
fof(additive_idempotence,axiom,
! [X1] : addition(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
fof(domain3,axiom,
! [X4] : addition(antidomain(antidomain(X4)),antidomain(X4)) = one,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain3) ).
fof(multiplicative_associativity,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).
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/sandbox2/benchmark/Axioms/KLE001+4.ax',codomain2) ).
fof(right_annihilation,axiom,
! [X1] : multiplication(X1,zero) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).
fof(domain1,axiom,
! [X4] : multiplication(antidomain(X4),X4) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain1) ).
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/sandbox2/benchmark/Axioms/KLE001+4.ax',domain2) ).
fof(left_annihilation,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
fof(goals,conjecture,
! [X4,X5] : domain(addition(X4,X5)) = addition(domain(X4),domain(X5)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).
fof(domain4,axiom,
! [X4] : domain(X4) = antidomain(antidomain(X4)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain4) ).
fof(c_0_19,plain,
! [X5] : addition(coantidomain(coantidomain(X5)),coantidomain(X5)) = one,
inference(variable_rename,[status(thm)],[codomain3]) ).
fof(c_0_20,plain,
! [X3,X4] : addition(X3,X4) = addition(X4,X3),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
fof(c_0_21,plain,
! [X4,X5,X6] : multiplication(X4,addition(X5,X6)) = addition(multiplication(X4,X5),multiplication(X4,X6)),
inference(variable_rename,[status(thm)],[right_distributivity]) ).
cnf(c_0_22,plain,
addition(coantidomain(coantidomain(X1)),coantidomain(X1)) = one,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_24,plain,
! [X2] : multiplication(X2,one) = X2,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
fof(c_0_25,plain,
! [X2] : addition(X2,zero) = X2,
inference(variable_rename,[status(thm)],[additive_identity]) ).
fof(c_0_26,plain,
! [X4,X5,X6] : multiplication(addition(X4,X5),X6) = addition(multiplication(X4,X6),multiplication(X5,X6)),
inference(variable_rename,[status(thm)],[left_distributivity]) ).
fof(c_0_27,plain,
! [X2] : multiplication(one,X2) = X2,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
cnf(c_0_28,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,plain,
addition(coantidomain(X1),coantidomain(coantidomain(X1))) = one,
inference(rw,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_30,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_31,plain,
! [X5] : multiplication(X5,coantidomain(X5)) = zero,
inference(variable_rename,[status(thm)],[codomain1]) ).
cnf(c_0_32,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_33,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_34,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,plain,
addition(multiplication(X1,coantidomain(X2)),multiplication(X1,coantidomain(coantidomain(X2)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_36,plain,
multiplication(X1,coantidomain(X1)) = zero,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_37,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_32,c_0_23]) ).
fof(c_0_38,plain,
! [X4,X5,X6] : addition(X6,addition(X5,X4)) = addition(addition(X6,X5),X4),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
fof(c_0_39,plain,
! [X2] : addition(X2,X2) = X2,
inference(variable_rename,[status(thm)],[additive_idempotence]) ).
fof(c_0_40,plain,
! [X5] : addition(antidomain(antidomain(X5)),antidomain(X5)) = one,
inference(variable_rename,[status(thm)],[domain3]) ).
fof(c_0_41,plain,
! [X4,X5,X6] : multiplication(X4,multiplication(X5,X6)) = multiplication(multiplication(X4,X5),X6),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
fof(c_0_42,plain,
! [X6,X7] : addition(coantidomain(multiplication(X6,X7)),coantidomain(multiplication(coantidomain(coantidomain(X6)),X7))) = coantidomain(multiplication(coantidomain(coantidomain(X6)),X7)),
inference(variable_rename,[status(thm)],[codomain2]) ).
cnf(c_0_43,plain,
addition(multiplication(coantidomain(X1),X2),multiplication(coantidomain(coantidomain(X1)),X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_29]),c_0_34]) ).
cnf(c_0_44,plain,
multiplication(X1,coantidomain(coantidomain(X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).
cnf(c_0_45,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_46,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_47,plain,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_48,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_49,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_42]) ).
cnf(c_0_50,plain,
coantidomain(coantidomain(coantidomain(X1))) = coantidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_36]),c_0_44]),c_0_32]) ).
fof(c_0_51,plain,
! [X2] : multiplication(X2,zero) = zero,
inference(variable_rename,[status(thm)],[right_annihilation]) ).
cnf(c_0_52,plain,
coantidomain(one) = zero,
inference(spm,[status(thm)],[c_0_34,c_0_36]) ).
cnf(c_0_53,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
fof(c_0_54,plain,
! [X5] : multiplication(antidomain(X5),X5) = zero,
inference(variable_rename,[status(thm)],[domain1]) ).
cnf(c_0_55,plain,
addition(antidomain(X1),antidomain(antidomain(X1))) = one,
inference(rw,[status(thm)],[c_0_47,c_0_23]) ).
cnf(c_0_56,plain,
multiplication(X1,multiplication(X2,coantidomain(multiplication(X1,X2)))) = zero,
inference(spm,[status(thm)],[c_0_36,c_0_48]) ).
cnf(c_0_57,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_49,c_0_48]) ).
cnf(c_0_58,plain,
multiplication(coantidomain(coantidomain(X1)),coantidomain(X1)) = zero,
inference(spm,[status(thm)],[c_0_36,c_0_50]) ).
cnf(c_0_59,plain,
multiplication(X1,zero) = zero,
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_60,plain,
coantidomain(zero) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_44]),c_0_52]) ).
cnf(c_0_61,plain,
addition(one,coantidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_29]),c_0_23]) ).
cnf(c_0_62,plain,
addition(multiplication(X1,coantidomain(addition(X1,X2))),multiplication(X2,coantidomain(addition(X1,X2)))) = zero,
inference(spm,[status(thm)],[c_0_36,c_0_33]) ).
cnf(c_0_63,plain,
multiplication(antidomain(X1),X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_64,plain,
addition(one,antidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_55]),c_0_23]) ).
cnf(c_0_65,plain,
multiplication(coantidomain(X1),multiplication(X2,coantidomain(multiplication(coantidomain(coantidomain(X1)),X2)))) = multiplication(X2,coantidomain(multiplication(coantidomain(coantidomain(X1)),X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_56]),c_0_32]) ).
cnf(c_0_66,plain,
coantidomain(multiplication(coantidomain(coantidomain(multiplication(X1,coantidomain(coantidomain(X2))))),coantidomain(X2))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]),c_0_60]),c_0_61]) ).
cnf(c_0_67,plain,
multiplication(X1,coantidomain(addition(X1,X2))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_62]),c_0_32]) ).
cnf(c_0_68,plain,
addition(one,coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),X1))) = coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_63]),c_0_60]) ).
cnf(c_0_69,plain,
addition(X1,addition(X2,X3)) = addition(X2,addition(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_23]),c_0_45]) ).
cnf(c_0_70,plain,
addition(X1,multiplication(antidomain(X2),X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_64]),c_0_34]),c_0_34]) ).
cnf(c_0_71,plain,
multiplication(coantidomain(multiplication(X1,coantidomain(coantidomain(X2)))),coantidomain(X2)) = coantidomain(X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_30]),c_0_30]) ).
cnf(c_0_72,plain,
multiplication(X1,coantidomain(coantidomain(addition(X1,X2)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_67]),c_0_37]) ).
cnf(c_0_73,plain,
coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),X1)) = one,
inference(rw,[status(thm)],[c_0_68,c_0_61]) ).
cnf(c_0_74,plain,
addition(X1,addition(X2,multiplication(antidomain(X3),X1))) = addition(X2,X1),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_75,plain,
addition(X1,multiplication(X1,coantidomain(X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_35]),c_0_23]) ).
cnf(c_0_76,plain,
multiplication(coantidomain(X1),coantidomain(addition(X1,X2))) = coantidomain(addition(X1,X2)),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
fof(c_0_77,plain,
! [X6,X7] : addition(antidomain(multiplication(X6,X7)),antidomain(multiplication(X6,antidomain(antidomain(X7))))) = antidomain(multiplication(X6,antidomain(antidomain(X7)))),
inference(variable_rename,[status(thm)],[domain2]) ).
cnf(c_0_78,plain,
antidomain(one) = zero,
inference(spm,[status(thm)],[c_0_63,c_0_30]) ).
cnf(c_0_79,plain,
multiplication(coantidomain(coantidomain(antidomain(X1))),X1) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_73]),c_0_48]),c_0_30]) ).
cnf(c_0_80,plain,
multiplication(X1,coantidomain(coantidomain(addition(X2,X1)))) = X1,
inference(spm,[status(thm)],[c_0_72,c_0_74]) ).
cnf(c_0_81,plain,
addition(coantidomain(X1),coantidomain(addition(X1,X2))) = coantidomain(X1),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_82,plain,
coantidomain(multiplication(coantidomain(coantidomain(multiplication(X1,X2))),coantidomain(X2))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_36]),c_0_59]),c_0_60]),c_0_61]) ).
cnf(c_0_83,plain,
addition(multiplication(X1,coantidomain(multiplication(X2,X3))),multiplication(X1,coantidomain(multiplication(coantidomain(coantidomain(X2)),X3)))) = multiplication(X1,coantidomain(multiplication(coantidomain(coantidomain(X2)),X3))),
inference(spm,[status(thm)],[c_0_28,c_0_49]) ).
cnf(c_0_84,plain,
multiplication(coantidomain(X1),coantidomain(X1)) = coantidomain(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_32]) ).
cnf(c_0_85,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_77]) ).
cnf(c_0_86,plain,
antidomain(zero) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_78]),c_0_37]) ).
cnf(c_0_87,plain,
addition(X1,multiplication(X1,antidomain(X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_64]),c_0_30]),c_0_30]) ).
cnf(c_0_88,plain,
multiplication(coantidomain(antidomain(X1)),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_79]),c_0_50]),c_0_37]) ).
cnf(c_0_89,plain,
addition(multiplication(antidomain(X1),X2),multiplication(antidomain(antidomain(X1)),X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_55]),c_0_34]) ).
cnf(c_0_90,plain,
multiplication(coantidomain(addition(X1,X2)),coantidomain(X1)) = coantidomain(addition(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_50]) ).
cnf(c_0_91,plain,
multiplication(coantidomain(multiplication(X1,X2)),coantidomain(X2)) = coantidomain(X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_82]),c_0_30]),c_0_30]) ).
cnf(c_0_92,plain,
multiplication(X1,multiplication(coantidomain(coantidomain(X1)),X2)) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_48,c_0_44]) ).
cnf(c_0_93,plain,
multiplication(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(coantidomain(coantidomain(X1)),X2))) = coantidomain(multiplication(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_75]) ).
cnf(c_0_94,plain,
antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_36]),c_0_86]),c_0_64]) ).
cnf(c_0_95,plain,
addition(antidomain(X1),coantidomain(antidomain(antidomain(X1)))) = coantidomain(antidomain(antidomain(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_23]) ).
cnf(c_0_96,plain,
addition(multiplication(X1,antidomain(X2)),multiplication(X1,antidomain(antidomain(X2)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_55]),c_0_30]) ).
cnf(c_0_97,plain,
multiplication(antidomain(antidomain(X1)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_63]),c_0_37]) ).
cnf(c_0_98,plain,
multiplication(coantidomain(X1),coantidomain(multiplication(coantidomain(X2),X1))) = coantidomain(X1),
inference(spm,[status(thm)],[c_0_90,c_0_43]) ).
cnf(c_0_99,plain,
coantidomain(multiplication(coantidomain(coantidomain(X1)),X2)) = coantidomain(multiplication(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]) ).
cnf(c_0_100,plain,
multiplication(X1,antidomain(antidomain(coantidomain(X1)))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_94]),c_0_34]) ).
cnf(c_0_101,plain,
multiplication(antidomain(X1),coantidomain(coantidomain(antidomain(antidomain(X1))))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_95]),c_0_36]),c_0_32]) ).
cnf(c_0_102,plain,
multiplication(antidomain(X1),coantidomain(antidomain(antidomain(X1)))) = coantidomain(antidomain(antidomain(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_36]),c_0_32]) ).
cnf(c_0_103,plain,
addition(antidomain(X1),addition(antidomain(antidomain(X1)),X2)) = addition(one,X2),
inference(spm,[status(thm)],[c_0_45,c_0_55]) ).
cnf(c_0_104,plain,
antidomain(antidomain(antidomain(X1))) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_63]),c_0_32]) ).
cnf(c_0_105,plain,
multiplication(coantidomain(X1),coantidomain(multiplication(X2,X1))) = coantidomain(X1),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_106,plain,
multiplication(coantidomain(X1),antidomain(antidomain(coantidomain(X1)))) = antidomain(antidomain(coantidomain(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_100]),c_0_50]),c_0_32]),c_0_50]) ).
cnf(c_0_107,plain,
multiplication(antidomain(coantidomain(X1)),coantidomain(coantidomain(X1))) = antidomain(coantidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_63]),c_0_37]) ).
cnf(c_0_108,plain,
coantidomain(antidomain(antidomain(X1))) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_101]),c_0_50]),c_0_102]),c_0_37]) ).
cnf(c_0_109,plain,
multiplication(antidomain(antidomain(X1)),coantidomain(antidomain(X1))) = coantidomain(antidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_36]),c_0_37]) ).
cnf(c_0_110,plain,
addition(antidomain(X1),coantidomain(antidomain(X1))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_95]),c_0_104]),c_0_104]),c_0_61]) ).
cnf(c_0_111,plain,
addition(multiplication(X1,multiplication(coantidomain(X2),X3)),multiplication(X1,multiplication(coantidomain(coantidomain(X2)),X3))) = multiplication(X1,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_35]),c_0_48]),c_0_48]) ).
cnf(c_0_112,plain,
multiplication(X1,coantidomain(multiplication(X2,coantidomain(X1)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_105]),c_0_44]) ).
cnf(c_0_113,plain,
addition(coantidomain(X1),antidomain(antidomain(coantidomain(X1)))) = coantidomain(X1),
inference(spm,[status(thm)],[c_0_87,c_0_106]) ).
cnf(c_0_114,plain,
antidomain(antidomain(X1)) = coantidomain(antidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109]) ).
cnf(c_0_115,plain,
addition(multiplication(antidomain(X1),X2),multiplication(coantidomain(antidomain(X1)),X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_110]),c_0_34]) ).
cnf(c_0_116,plain,
multiplication(X1,coantidomain(multiplication(X1,coantidomain(coantidomain(X2))))) = multiplication(X1,coantidomain(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_56]),c_0_32]),c_0_112]) ).
cnf(c_0_117,plain,
multiplication(coantidomain(X1),coantidomain(multiplication(X1,coantidomain(X2)))) = coantidomain(X1),
inference(spm,[status(thm)],[c_0_90,c_0_35]) ).
cnf(c_0_118,plain,
addition(coantidomain(X1),coantidomain(antidomain(coantidomain(X1)))) = coantidomain(X1),
inference(rw,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_119,plain,
multiplication(coantidomain(multiplication(X1,coantidomain(X2))),coantidomain(X1)) = coantidomain(X1),
inference(spm,[status(thm)],[c_0_76,c_0_35]) ).
cnf(c_0_120,plain,
coantidomain(multiplication(antidomain(X1),coantidomain(coantidomain(X2)))) = addition(coantidomain(antidomain(X1)),multiplication(antidomain(X1),coantidomain(X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117]),c_0_23]) ).
cnf(c_0_121,plain,
coantidomain(coantidomain(antidomain(X1))) = antidomain(X1),
inference(rw,[status(thm)],[c_0_108,c_0_114]) ).
cnf(c_0_122,plain,
multiplication(coantidomain(antidomain(coantidomain(X1))),coantidomain(coantidomain(X1))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_118]),c_0_36]),c_0_37]) ).
cnf(c_0_123,plain,
addition(X1,addition(multiplication(X1,antidomain(X2)),X3)) = addition(X1,X3),
inference(spm,[status(thm)],[c_0_45,c_0_87]) ).
cnf(c_0_124,plain,
multiplication(coantidomain(coantidomain(addition(X1,X2))),coantidomain(coantidomain(X1))) = coantidomain(coantidomain(X1)),
inference(spm,[status(thm)],[c_0_119,c_0_76]) ).
cnf(c_0_125,plain,
addition(coantidomain(X1),coantidomain(addition(X2,X1))) = coantidomain(X1),
inference(spm,[status(thm)],[c_0_81,c_0_74]) ).
cnf(c_0_126,plain,
coantidomain(multiplication(antidomain(X1),coantidomain(antidomain(X2)))) = addition(coantidomain(antidomain(X1)),multiplication(antidomain(X1),antidomain(X2))),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_127,plain,
antidomain(coantidomain(X1)) = coantidomain(coantidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_122]),c_0_37]),c_0_121]),c_0_107]) ).
cnf(c_0_128,plain,
addition(coantidomain(X1),multiplication(coantidomain(coantidomain(X1)),antidomain(X2))) = addition(coantidomain(X1),antidomain(X2)),
inference(spm,[status(thm)],[c_0_123,c_0_43]) ).
cnf(c_0_129,plain,
coantidomain(addition(X1,multiplication(X2,coantidomain(coantidomain(X1))))) = coantidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_124]),c_0_50]),c_0_33]),c_0_44]) ).
cnf(c_0_130,plain,
multiplication(coantidomain(addition(X1,X2)),coantidomain(X2)) = coantidomain(addition(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_125]),c_0_50]) ).
cnf(c_0_131,plain,
coantidomain(addition(one,X1)) = zero,
inference(spm,[status(thm)],[c_0_34,c_0_67]) ).
cnf(c_0_132,plain,
multiplication(X1,multiplication(X2,coantidomain(coantidomain(multiplication(X1,X2))))) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_48,c_0_44]) ).
cnf(c_0_133,plain,
coantidomain(multiplication(X1,coantidomain(antidomain(X2)))) = addition(coantidomain(X1),antidomain(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_99]),c_0_50]),c_0_128]) ).
cnf(c_0_134,plain,
coantidomain(addition(X1,coantidomain(addition(X2,coantidomain(X1))))) = coantidomain(X1),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_135,plain,
coantidomain(addition(X1,multiplication(X2,X1))) = coantidomain(X1),
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_131]),c_0_60]),c_0_34]),c_0_33]),c_0_34]) ).
cnf(c_0_136,plain,
addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
inference(spm,[status(thm)],[c_0_23,c_0_45]) ).
cnf(c_0_137,plain,
addition(multiplication(X1,multiplication(coantidomain(X2),X3)),addition(multiplication(X1,multiplication(coantidomain(coantidomain(X2)),X3)),X4)) = addition(multiplication(X1,X3),X4),
inference(spm,[status(thm)],[c_0_45,c_0_111]) ).
cnf(c_0_138,plain,
addition(multiplication(coantidomain(X1),multiplication(X2,coantidomain(coantidomain(multiplication(X1,X2))))),multiplication(coantidomain(coantidomain(X1)),X2)) = multiplication(X2,coantidomain(coantidomain(multiplication(X1,X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_132]),c_0_99]),c_0_99]) ).
cnf(c_0_139,plain,
coantidomain(multiplication(X1,coantidomain(X2))) = addition(coantidomain(X1),coantidomain(coantidomain(X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_127]),c_0_50]) ).
cnf(c_0_140,plain,
multiplication(X1,coantidomain(addition(X2,X1))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_67]),c_0_37]) ).
cnf(c_0_141,plain,
multiplication(coantidomain(X1),coantidomain(addition(X2,X1))) = coantidomain(addition(X2,X1)),
inference(spm,[status(thm)],[c_0_71,c_0_80]) ).
cnf(c_0_142,plain,
coantidomain(addition(X1,addition(X2,coantidomain(coantidomain(X1))))) = coantidomain(addition(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_81]),c_0_45]) ).
cnf(c_0_143,plain,
coantidomain(addition(X1,coantidomain(coantidomain(X1)))) = coantidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_44]),c_0_50]),c_0_23]) ).
cnf(c_0_144,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[c_0_136,c_0_46]) ).
cnf(c_0_145,plain,
multiplication(coantidomain(coantidomain(X1)),coantidomain(coantidomain(X2))) = coantidomain(addition(coantidomain(X1),coantidomain(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(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_137,c_0_138]),c_0_139]),c_0_50]),c_0_140]),c_0_59]),c_0_139]),c_0_50]),c_0_141]),c_0_37]),c_0_139]),c_0_50]),c_0_67]),c_0_37]) ).
cnf(c_0_146,plain,
multiplication(X1,coantidomain(coantidomain(addition(coantidomain(coantidomain(X1)),X2)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_72]),c_0_44]) ).
cnf(c_0_147,plain,
coantidomain(addition(X1,addition(coantidomain(coantidomain(X1)),X2))) = coantidomain(addition(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_45]),c_0_144]),c_0_142]),c_0_45]) ).
cnf(c_0_148,plain,
multiplication(coantidomain(coantidomain(X1)),antidomain(X2)) = coantidomain(addition(coantidomain(X1),coantidomain(antidomain(X2)))),
inference(spm,[status(thm)],[c_0_145,c_0_121]) ).
cnf(c_0_149,plain,
multiplication(X1,coantidomain(addition(coantidomain(X2),coantidomain(X1)))) = multiplication(X1,coantidomain(coantidomain(X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_35]),c_0_48]),c_0_145]) ).
cnf(c_0_150,plain,
coantidomain(addition(coantidomain(coantidomain(X1)),X2)) = coantidomain(addition(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_146]),c_0_45]),c_0_136]),c_0_147]) ).
cnf(c_0_151,plain,
multiplication(coantidomain(X1),antidomain(X2)) = coantidomain(addition(coantidomain(coantidomain(X1)),coantidomain(antidomain(X2)))),
inference(spm,[status(thm)],[c_0_148,c_0_50]) ).
cnf(c_0_152,plain,
coantidomain(multiplication(X1,antidomain(X2))) = addition(coantidomain(X1),coantidomain(antidomain(X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_114]),c_0_121]) ).
cnf(c_0_153,plain,
multiplication(X1,coantidomain(addition(X2,coantidomain(X1)))) = multiplication(X1,coantidomain(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_50]) ).
cnf(c_0_154,plain,
multiplication(coantidomain(X1),coantidomain(antidomain(X2))) = coantidomain(addition(coantidomain(coantidomain(X1)),antidomain(X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_114]),c_0_121]) ).
cnf(c_0_155,plain,
coantidomain(coantidomain(addition(coantidomain(X1),coantidomain(antidomain(X2))))) = addition(coantidomain(X1),coantidomain(antidomain(X2))),
inference(spm,[status(thm)],[c_0_50,c_0_152]) ).
cnf(c_0_156,plain,
multiplication(X1,coantidomain(addition(coantidomain(X1),X2))) = multiplication(X1,coantidomain(X2)),
inference(spm,[status(thm)],[c_0_153,c_0_23]) ).
cnf(c_0_157,plain,
multiplication(coantidomain(X1),coantidomain(X2)) = coantidomain(addition(coantidomain(coantidomain(X1)),coantidomain(coantidomain(X2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_127]),c_0_50]) ).
cnf(c_0_158,plain,
coantidomain(coantidomain(addition(coantidomain(X1),coantidomain(X2)))) = addition(coantidomain(X1),coantidomain(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_127]),c_0_50]),c_0_50]) ).
cnf(c_0_159,plain,
multiplication(antidomain(X1),antidomain(X2)) = coantidomain(addition(coantidomain(antidomain(X1)),coantidomain(antidomain(X2)))),
inference(spm,[status(thm)],[c_0_148,c_0_121]) ).
cnf(c_0_160,plain,
addition(multiplication(coantidomain(X1),X2),addition(X3,multiplication(coantidomain(coantidomain(X1)),X2))) = addition(X3,X2),
inference(spm,[status(thm)],[c_0_69,c_0_43]) ).
cnf(c_0_161,plain,
coantidomain(addition(X1,coantidomain(coantidomain(X2)))) = coantidomain(addition(X1,X2)),
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_43,c_0_156]),c_0_157]),c_0_150]),c_0_67]),c_0_32]),c_0_150]) ).
cnf(c_0_162,plain,
addition(coantidomain(coantidomain(X1)),coantidomain(X2)) = coantidomain(coantidomain(addition(X1,coantidomain(X2)))),
inference(spm,[status(thm)],[c_0_158,c_0_150]) ).
fof(c_0_163,plain,
! [X2] : multiplication(zero,X2) = zero,
inference(variable_rename,[status(thm)],[left_annihilation]) ).
cnf(c_0_164,plain,
multiplication(antidomain(X1),coantidomain(antidomain(X2))) = coantidomain(addition(coantidomain(antidomain(X1)),antidomain(X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_114]),c_0_121]) ).
cnf(c_0_165,plain,
coantidomain(coantidomain(addition(X1,coantidomain(addition(X1,X2))))) = coantidomain(coantidomain(addition(X1,coantidomain(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_160,c_0_75]),c_0_157]),c_0_150]),c_0_161]),c_0_23]),c_0_162]),c_0_162]) ).
cnf(c_0_166,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_167,plain,
multiplication(antidomain(X1),coantidomain(X2)) = coantidomain(addition(coantidomain(antidomain(X1)),coantidomain(coantidomain(X2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_127]),c_0_50]) ).
cnf(c_0_168,plain,
coantidomain(addition(X1,coantidomain(addition(X1,X2)))) = coantidomain(addition(X1,coantidomain(X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_165]),c_0_50]) ).
cnf(c_0_169,plain,
addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,coantidomain(antidomain(X2))))) = antidomain(multiplication(X1,coantidomain(antidomain(X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_114]),c_0_114]) ).
cnf(c_0_170,plain,
multiplication(antidomain(X1),multiplication(X1,X2)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_63]),c_0_166]) ).
cnf(c_0_171,plain,
multiplication(antidomain(X1),coantidomain(X2)) = coantidomain(addition(coantidomain(antidomain(X1)),X2)),
inference(rw,[status(thm)],[c_0_167,c_0_161]) ).
cnf(c_0_172,plain,
coantidomain(coantidomain(addition(coantidomain(X1),antidomain(X2)))) = addition(coantidomain(X1),antidomain(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_114]),c_0_121]),c_0_121]) ).
cnf(c_0_173,plain,
addition(coantidomain(X1),coantidomain(addition(coantidomain(X1),X2))) = addition(coantidomain(X1),coantidomain(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_168]),c_0_158]) ).
cnf(c_0_174,plain,
addition(coantidomain(antidomain(X1)),antidomain(multiplication(X1,X2))) = one,
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_169,c_0_170]),c_0_86]),c_0_64]),c_0_171]),c_0_127]),c_0_172]) ).
cnf(c_0_175,plain,
addition(coantidomain(antidomain(X1)),coantidomain(antidomain(multiplication(X1,X2)))) = coantidomain(antidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_52]),c_0_32]) ).
cnf(c_0_176,plain,
multiplication(coantidomain(X1),multiplication(coantidomain(X1),X2)) = multiplication(coantidomain(X1),X2),
inference(spm,[status(thm)],[c_0_48,c_0_84]) ).
cnf(c_0_177,plain,
addition(coantidomain(X1),coantidomain(antidomain(multiplication(coantidomain(X1),X2)))) = coantidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_127]),c_0_50]),c_0_127]),c_0_50]) ).
cnf(c_0_178,plain,
coantidomain(coantidomain(addition(antidomain(X1),coantidomain(X2)))) = addition(antidomain(X1),coantidomain(X2)),
inference(spm,[status(thm)],[c_0_172,c_0_23]) ).
cnf(c_0_179,plain,
addition(antidomain(multiplication(X1,multiplication(X2,X3))),antidomain(multiplication(X1,multiplication(X2,antidomain(antidomain(X3)))))) = antidomain(multiplication(X1,multiplication(X2,antidomain(antidomain(X3))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_48]),c_0_48]) ).
cnf(c_0_180,plain,
multiplication(X1,antidomain(multiplication(coantidomain(X1),X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_177]),c_0_44]),c_0_121]) ).
cnf(c_0_181,plain,
multiplication(coantidomain(X1),antidomain(X2)) = coantidomain(addition(X1,coantidomain(antidomain(X2)))),
inference(rw,[status(thm)],[c_0_151,c_0_150]) ).
cnf(c_0_182,plain,
addition(antidomain(X1),coantidomain(addition(antidomain(X1),X2))) = addition(antidomain(X1),coantidomain(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_168]),c_0_178]) ).
cnf(c_0_183,plain,
multiplication(coantidomain(X1),coantidomain(X2)) = coantidomain(addition(X1,coantidomain(coantidomain(X2)))),
inference(rw,[status(thm)],[c_0_157,c_0_150]) ).
cnf(c_0_184,plain,
addition(multiplication(X1,X2),multiplication(X1,multiplication(antidomain(X3),X2))) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_28,c_0_70]) ).
cnf(c_0_185,plain,
addition(antidomain(multiplication(X1,multiplication(X2,X3))),antidomain(multiplication(X1,multiplication(X2,coantidomain(antidomain(X3)))))) = antidomain(multiplication(X1,multiplication(X2,coantidomain(antidomain(X3))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_179,c_0_114]),c_0_114]) ).
cnf(c_0_186,plain,
addition(antidomain(X1),antidomain(multiplication(coantidomain(antidomain(X1)),X2))) = antidomain(multiplication(coantidomain(antidomain(X1)),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_180]),c_0_181]),c_0_182]),c_0_121]) ).
cnf(c_0_187,plain,
multiplication(coantidomain(X1),coantidomain(X2)) = coantidomain(addition(X1,X2)),
inference(rw,[status(thm)],[c_0_183,c_0_161]) ).
cnf(c_0_188,plain,
multiplication(antidomain(X1),multiplication(antidomain(X2),X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_63]),c_0_37]) ).
cnf(c_0_189,plain,
multiplication(antidomain(X1),antidomain(X1)) = antidomain(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_63]),c_0_32]) ).
cnf(c_0_190,plain,
addition(multiplication(antidomain(addition(X1,X2)),X1),multiplication(antidomain(addition(X1,X2)),X2)) = zero,
inference(spm,[status(thm)],[c_0_63,c_0_28]) ).
cnf(c_0_191,plain,
addition(antidomain(addition(multiplication(X1,X2),multiplication(X1,X3))),antidomain(multiplication(X1,antidomain(antidomain(addition(X2,X3)))))) = antidomain(multiplication(X1,antidomain(antidomain(addition(X2,X3))))),
inference(spm,[status(thm)],[c_0_85,c_0_28]) ).
cnf(c_0_192,plain,
antidomain(multiplication(coantidomain(antidomain(multiplication(X1,coantidomain(antidomain(X2))))),multiplication(X1,X2))) = antidomain(multiplication(X1,coantidomain(antidomain(X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_88]),c_0_23]),c_0_186]) ).
cnf(c_0_193,plain,
multiplication(coantidomain(addition(X1,X2)),X3) = multiplication(coantidomain(X1),multiplication(coantidomain(X2),X3)),
inference(spm,[status(thm)],[c_0_48,c_0_187]) ).
cnf(c_0_194,plain,
multiplication(coantidomain(antidomain(X1)),multiplication(antidomain(X2),X1)) = multiplication(antidomain(X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_188]),c_0_37]) ).
cnf(c_0_195,plain,
multiplication(antidomain(X1),multiplication(antidomain(X1),X2)) = multiplication(antidomain(X1),X2),
inference(spm,[status(thm)],[c_0_48,c_0_189]) ).
cnf(c_0_196,plain,
multiplication(antidomain(addition(X1,X2)),X1) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_190]),c_0_32]) ).
cnf(c_0_197,plain,
addition(antidomain(addition(multiplication(X1,X2),multiplication(X1,X3))),antidomain(multiplication(X1,coantidomain(antidomain(addition(X2,X3)))))) = antidomain(multiplication(X1,coantidomain(antidomain(addition(X2,X3))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_191,c_0_114]),c_0_114]) ).
cnf(c_0_198,plain,
antidomain(multiplication(antidomain(X1),X2)) = addition(coantidomain(antidomain(X1)),antidomain(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_171]),c_0_127]),c_0_172]),c_0_193]),c_0_121]),c_0_194]),c_0_195]),c_0_127]),c_0_172]) ).
cnf(c_0_199,plain,
addition(X1,addition(X2,addition(X1,X3))) = addition(X2,addition(X1,X3)),
inference(spm,[status(thm)],[c_0_69,c_0_53]) ).
cnf(c_0_200,plain,
addition(antidomain(X1),coantidomain(antidomain(addition(X1,X2)))) = one,
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_169,c_0_196]),c_0_86]),c_0_64]),c_0_167]),c_0_121]),c_0_23]),c_0_127]),c_0_178]) ).
cnf(c_0_201,plain,
coantidomain(coantidomain(addition(antidomain(X1),antidomain(X2)))) = addition(antidomain(X1),antidomain(X2)),
inference(spm,[status(thm)],[c_0_172,c_0_121]) ).
cnf(c_0_202,plain,
addition(antidomain(X1),addition(coantidomain(antidomain(X2)),antidomain(addition(X1,X2)))) = addition(coantidomain(antidomain(X2)),antidomain(addition(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_63]),c_0_32]),c_0_198]),c_0_171]),c_0_127]),c_0_172]),c_0_45]),c_0_199]),c_0_171]),c_0_127]),c_0_172]) ).
cnf(c_0_203,plain,
addition(antidomain(X1),antidomain(addition(X1,X2))) = antidomain(X1),
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_165,c_0_200]),c_0_52]),c_0_32]),c_0_121]),c_0_121]),c_0_201]) ).
cnf(c_0_204,plain,
addition(coantidomain(antidomain(X1)),antidomain(addition(X2,X1))) = addition(coantidomain(antidomain(X1)),antidomain(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_202]),c_0_203]) ).
cnf(c_0_205,plain,
addition(X1,addition(multiplication(antidomain(X2),X1),X3)) = addition(X1,X3),
inference(spm,[status(thm)],[c_0_45,c_0_70]) ).
cnf(c_0_206,plain,
addition(antidomain(X1),antidomain(addition(X2,antidomain(X1)))) = addition(antidomain(X1),antidomain(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_114]),c_0_121]),c_0_121]) ).
cnf(c_0_207,plain,
multiplication(coantidomain(antidomain(addition(X1,X2))),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_196]),c_0_37]) ).
cnf(c_0_208,plain,
addition(coantidomain(X1),multiplication(antidomain(X2),coantidomain(coantidomain(X1)))) = addition(coantidomain(X1),antidomain(X2)),
inference(spm,[status(thm)],[c_0_205,c_0_35]) ).
cnf(c_0_209,plain,
addition(antidomain(X1),antidomain(addition(antidomain(X1),X2))) = addition(antidomain(X1),antidomain(X2)),
inference(spm,[status(thm)],[c_0_206,c_0_23]) ).
cnf(c_0_210,plain,
addition(antidomain(X1),coantidomain(antidomain(addition(antidomain(X1),X2)))) = coantidomain(antidomain(addition(antidomain(X1),X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_207]),c_0_23]) ).
cnf(c_0_211,plain,
addition(coantidomain(X1),antidomain(addition(coantidomain(coantidomain(X1)),X2))) = coantidomain(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_196]),c_0_32]) ).
cnf(c_0_212,plain,
addition(antidomain(X1),coantidomain(antidomain(X2))) = coantidomain(antidomain(addition(antidomain(X1),X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_209]),c_0_182]),c_0_210]) ).
cnf(c_0_213,plain,
addition(coantidomain(coantidomain(X1)),antidomain(addition(coantidomain(X1),X2))) = coantidomain(coantidomain(X1)),
inference(spm,[status(thm)],[c_0_211,c_0_50]) ).
cnf(c_0_214,plain,
addition(coantidomain(antidomain(X1)),coantidomain(antidomain(X2))) = coantidomain(antidomain(addition(coantidomain(antidomain(X1)),X2))),
inference(spm,[status(thm)],[c_0_212,c_0_114]) ).
cnf(c_0_215,plain,
multiplication(coantidomain(X1),coantidomain(antidomain(addition(coantidomain(X1),X2)))) = coantidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_213]),c_0_50]),c_0_50]) ).
cnf(c_0_216,plain,
addition(antidomain(X1),antidomain(addition(coantidomain(antidomain(X1)),X2))) = antidomain(X1),
inference(spm,[status(thm)],[c_0_211,c_0_121]) ).
cnf(c_0_217,plain,
addition(X1,addition(multiplication(X1,coantidomain(X2)),X3)) = addition(X3,X1),
inference(spm,[status(thm)],[c_0_136,c_0_75]) ).
cnf(c_0_218,plain,
addition(coantidomain(X1),coantidomain(antidomain(X2))) = coantidomain(antidomain(addition(coantidomain(X1),X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_127]),c_0_50]),c_0_50]) ).
cnf(c_0_219,plain,
multiplication(X1,coantidomain(antidomain(addition(coantidomain(coantidomain(X1)),X2)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_215]),c_0_44]) ).
cnf(c_0_220,plain,
addition(antidomain(X1),antidomain(addition(X2,coantidomain(antidomain(X1))))) = antidomain(X1),
inference(spm,[status(thm)],[c_0_216,c_0_217]) ).
fof(c_0_221,negated_conjecture,
~ ! [X4,X5] : domain(addition(X4,X5)) = addition(domain(X4),domain(X5)),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_222,plain,
coantidomain(multiplication(X1,antidomain(X2))) = coantidomain(antidomain(addition(coantidomain(X1),X2))),
inference(rw,[status(thm)],[c_0_152,c_0_218]) ).
cnf(c_0_223,plain,
multiplication(X1,coantidomain(antidomain(addition(X2,coantidomain(coantidomain(X1)))))) = X1,
inference(spm,[status(thm)],[c_0_219,c_0_74]) ).
cnf(c_0_224,plain,
coantidomain(antidomain(addition(X1,coantidomain(antidomain(X1))))) = coantidomain(antidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_214]),c_0_23]) ).
cnf(c_0_225,plain,
addition(coantidomain(antidomain(X1)),antidomain(addition(X2,antidomain(X1)))) = coantidomain(antidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_114]),c_0_121]) ).
cnf(c_0_226,plain,
coantidomain(addition(X1,coantidomain(addition(X2,X1)))) = coantidomain(addition(X1,coantidomain(X2))),
inference(spm,[status(thm)],[c_0_168,c_0_23]) ).
fof(c_0_227,negated_conjecture,
domain(addition(esk1_0,esk2_0)) != addition(domain(esk1_0),domain(esk2_0)),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_221])])]) ).
fof(c_0_228,plain,
! [X5] : domain(X5) = antidomain(antidomain(X5)),
inference(variable_rename,[status(thm)],[domain4]) ).
cnf(c_0_229,plain,
coantidomain(antidomain(addition(antidomain(X1),X2))) = addition(coantidomain(antidomain(X2)),antidomain(X1)),
inference(spm,[status(thm)],[c_0_23,c_0_212]) ).
cnf(c_0_230,plain,
coantidomain(antidomain(addition(X1,antidomain(addition(antidomain(X1),X2))))) = coantidomain(antidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_207]),c_0_121]),c_0_23]) ).
cnf(c_0_231,plain,
multiplication(antidomain(X1),antidomain(X2)) = antidomain(addition(coantidomain(antidomain(X1)),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_214]),c_0_121]) ).
cnf(c_0_232,plain,
antidomain(addition(X1,coantidomain(antidomain(X1)))) = antidomain(X1),
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_223,c_0_224]),c_0_121]),c_0_171]),c_0_224]),c_0_225]),c_0_121]) ).
cnf(c_0_233,plain,
addition(antidomain(X1),coantidomain(addition(X2,antidomain(X1)))) = addition(antidomain(X1),coantidomain(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_226]),c_0_178]) ).
cnf(c_0_234,negated_conjecture,
domain(addition(esk1_0,esk2_0)) != addition(domain(esk1_0),domain(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_227]) ).
cnf(c_0_235,plain,
domain(X1) = antidomain(antidomain(X1)),
inference(split_conjunct,[status(thm)],[c_0_228]) ).
cnf(c_0_236,plain,
addition(coantidomain(antidomain(X1)),antidomain(X2)) = coantidomain(antidomain(addition(X1,antidomain(X2)))),
inference(spm,[status(thm)],[c_0_229,c_0_23]) ).
cnf(c_0_237,plain,
antidomain(addition(X1,antidomain(addition(antidomain(X1),X2)))) = antidomain(X1),
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_44,c_0_230]),c_0_121]),c_0_231]),c_0_230]),c_0_23]),c_0_232]) ).
cnf(c_0_238,plain,
addition(antidomain(X1),antidomain(multiplication(X1,X2))) = antidomain(multiplication(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_174]),c_0_52]),c_0_32]),c_0_121]),c_0_23]) ).
cnf(c_0_239,negated_conjecture,
antidomain(antidomain(addition(esk1_0,esk2_0))) != addition(antidomain(antidomain(esk1_0)),antidomain(antidomain(esk2_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_234,c_0_235]),c_0_235]),c_0_235]) ).
cnf(c_0_240,plain,
coantidomain(antidomain(addition(coantidomain(antidomain(X1)),X2))) = coantidomain(antidomain(addition(X1,coantidomain(antidomain(X2))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_114]),c_0_218]) ).
cnf(c_0_241,plain,
coantidomain(antidomain(addition(X1,antidomain(addition(X2,X1))))) = coantidomain(antidomain(addition(X1,antidomain(X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_236]),c_0_236]) ).
cnf(c_0_242,plain,
antidomain(addition(X1,coantidomain(antidomain(multiplication(X1,X2))))) = antidomain(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_114]) ).
cnf(c_0_243,negated_conjecture,
addition(coantidomain(antidomain(esk1_0)),coantidomain(antidomain(esk2_0))) != coantidomain(antidomain(addition(esk1_0,esk2_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_239,c_0_114]),c_0_114]),c_0_114]) ).
cnf(c_0_244,plain,
antidomain(addition(coantidomain(antidomain(X1)),X2)) = antidomain(addition(X1,coantidomain(antidomain(X2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_240]),c_0_121]) ).
cnf(c_0_245,plain,
antidomain(addition(X1,antidomain(addition(X2,X1)))) = antidomain(addition(X1,antidomain(X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_241]),c_0_121]) ).
cnf(c_0_246,plain,
antidomain(addition(X1,addition(coantidomain(antidomain(X1)),X2))) = antidomain(addition(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_207]),c_0_23]),c_0_214]),c_0_69]),c_0_127]),c_0_121]),c_0_127]),c_0_121]) ).
cnf(c_0_247,plain,
addition(X1,addition(X2,addition(multiplication(antidomain(X3),X1),X4))) = addition(X2,addition(X1,X4)),
inference(spm,[status(thm)],[c_0_69,c_0_205]) ).
cnf(c_0_248,negated_conjecture,
coantidomain(antidomain(addition(esk2_0,coantidomain(antidomain(esk1_0))))) != coantidomain(antidomain(addition(esk1_0,esk2_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_243,c_0_214]),c_0_23]) ).
cnf(c_0_249,plain,
antidomain(addition(X1,coantidomain(antidomain(X2)))) = antidomain(addition(X2,coantidomain(antidomain(X1)))),
inference(spm,[status(thm)],[c_0_244,c_0_23]) ).
cnf(c_0_250,plain,
antidomain(addition(X1,antidomain(addition(X1,X2)))) = antidomain(addition(X1,antidomain(X2))),
inference(spm,[status(thm)],[c_0_245,c_0_23]) ).
cnf(c_0_251,plain,
antidomain(addition(X1,coantidomain(antidomain(addition(X1,X2))))) = antidomain(addition(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_244]),c_0_205]) ).
cnf(c_0_252,negated_conjecture,
coantidomain(antidomain(addition(esk1_0,coantidomain(antidomain(esk2_0))))) != coantidomain(antidomain(addition(esk1_0,esk2_0))),
inference(rw,[status(thm)],[c_0_248,c_0_249]) ).
cnf(c_0_253,plain,
antidomain(addition(X1,coantidomain(antidomain(X2)))) = antidomain(addition(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_250]),c_0_250]),c_0_114]),c_0_114]),c_0_251]) ).
cnf(c_0_254,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_252,c_0_253])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : KLE087+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : run_ET %s %d
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jun 16 14:52:05 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.31/10.49 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.31/10.49 # Preprocessing time : 0.014 s
% 0.31/10.49
% 0.31/10.49 # Proof found!
% 0.31/10.49 # SZS status Theorem
% 0.31/10.49 # SZS output start CNFRefutation
% See solution above
% 0.31/10.49 # Proof object total steps : 255
% 0.31/10.49 # Proof object clause steps : 216
% 0.31/10.49 # Proof object formula steps : 39
% 0.31/10.49 # Proof object conjectures : 9
% 0.31/10.49 # Proof object clause conjectures : 6
% 0.31/10.49 # Proof object formula conjectures : 3
% 0.31/10.49 # Proof object initial clauses used : 19
% 0.31/10.49 # Proof object initial formulas used : 19
% 0.31/10.49 # Proof object generating inferences : 176
% 0.31/10.49 # Proof object simplifying inferences : 273
% 0.31/10.49 # Training examples: 0 positive, 0 negative
% 0.31/10.49 # Parsed axioms : 21
% 0.31/10.49 # Removed by relevancy pruning/SinE : 0
% 0.31/10.49 # Initial clauses : 22
% 0.31/10.49 # Removed in clause preprocessing : 2
% 0.31/10.49 # Initial clauses in saturation : 20
% 0.31/10.49 # Processed clauses : 15537
% 0.31/10.49 # ...of these trivial : 7543
% 0.31/10.49 # ...subsumed : 6591
% 0.31/10.49 # ...remaining for further processing : 1403
% 0.31/10.49 # Other redundant clauses eliminated : 0
% 0.31/10.49 # Clauses deleted for lack of memory : 157662
% 0.31/10.49 # Backward-subsumed : 3
% 0.31/10.49 # Backward-rewritten : 657
% 0.31/10.49 # Generated clauses : 644573
% 0.31/10.49 # ...of the previous two non-trivial : 371755
% 0.31/10.49 # Contextual simplify-reflections : 0
% 0.31/10.49 # Paramodulations : 644573
% 0.31/10.49 # Factorizations : 0
% 0.31/10.49 # Equation resolutions : 0
% 0.31/10.49 # Current number of processed clauses : 743
% 0.31/10.49 # Positive orientable unit clauses : 717
% 0.31/10.49 # Positive unorientable unit clauses: 24
% 0.31/10.49 # Negative unit clauses : 0
% 0.31/10.49 # Non-unit-clauses : 2
% 0.31/10.49 # Current number of unprocessed clauses: 72064
% 0.31/10.49 # ...number of literals in the above : 72064
% 0.31/10.49 # Current number of archived formulas : 0
% 0.31/10.49 # Current number of archived clauses : 662
% 0.31/10.49 # Clause-clause subsumption calls (NU) : 0
% 0.31/10.49 # Rec. Clause-clause subsumption calls : 0
% 0.31/10.49 # Non-unit clause-clause subsumptions : 0
% 0.31/10.49 # Unit Clause-clause subsumption calls : 572
% 0.31/10.49 # Rewrite failures with RHS unbound : 10011
% 0.31/10.49 # BW rewrite match attempts : 17982
% 0.31/10.49 # BW rewrite match successes : 3734
% 0.31/10.49 # Condensation attempts : 0
% 0.31/10.49 # Condensation successes : 0
% 0.31/10.49 # Termbank termtop insertions : 13976650
% 0.31/10.49
% 0.31/10.49 # -------------------------------------------------
% 0.31/10.49 # User time : 9.770 s
% 0.31/10.49 # System time : 0.144 s
% 0.31/10.49 # Total time : 9.914 s
% 0.31/10.49 # Maximum resident set size: 157892 pages
% 0.31/23.41 eprover: CPU time limit exceeded, terminating
% 0.31/23.42 eprover: CPU time limit exceeded, terminating
% 0.31/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.43 eprover: No such file or directory
% 0.31/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.43 eprover: No such file or directory
% 0.31/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.44 eprover: No such file or directory
% 0.31/23.44 eprover: CPU time limit exceeded, terminating
% 0.31/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.44 eprover: No such file or directory
% 0.31/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.44 eprover: No such file or directory
% 0.31/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.44 eprover: No such file or directory
% 0.31/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.45 eprover: No such file or directory
% 0.31/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.45 eprover: No such file or directory
% 0.31/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.45 eprover: No such file or directory
% 0.31/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.46 eprover: No such file or directory
% 0.31/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.46 eprover: No such file or directory
% 0.31/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.46 eprover: No such file or directory
% 0.31/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.46 eprover: No such file or directory
% 0.31/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.46 eprover: No such file or directory
% 0.31/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.46 eprover: No such file or directory
% 0.31/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.47 eprover: No such file or directory
% 0.31/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.47 eprover: No such file or directory
% 0.31/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.47 eprover: No such file or directory
% 0.31/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.47 eprover: No such file or directory
% 0.31/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.47 eprover: No such file or directory
% 0.31/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.47 eprover: No such file or directory
% 0.31/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.48 eprover: No such file or directory
% 0.31/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.48 eprover: No such file or directory
% 0.31/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.48 eprover: No such file or directory
% 0.31/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.48 eprover: No such file or directory
% 0.31/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.48 eprover: No such file or directory
% 0.31/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.48 eprover: No such file or directory
% 0.31/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.48 eprover: No such file or directory
% 0.31/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.49 eprover: No such file or directory
% 0.31/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.49 eprover: No such file or directory
% 0.31/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.50 eprover: No such file or directory
% 0.31/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.50 eprover: No such file or directory
% 0.31/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.51 eprover: No such file or directory
%------------------------------------------------------------------------------