TSTP Solution File: KLE109+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : KLE109+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n018.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 01:55:55 EDT 2022
% Result : Theorem 1.09s 179.25s
% Output : CNFRefutation 1.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 69
% Number of leaves : 24
% Syntax : Number of formulae : 328 ( 328 unt; 0 def)
% Number of atoms : 328 ( 327 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 9 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 20 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-2 aty)
% Number of variables : 598 ( 63 sgn 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(codomain1,axiom,
! [X4] : multiplication(X4,coantidomain(X4)) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',codomain1) ).
fof(additive_identity,axiom,
! [X1] : addition(X1,zero) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
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(domain1,axiom,
! [X4] : multiplication(antidomain(X4),X4) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain1) ).
fof(domain3,axiom,
! [X4] : addition(antidomain(antidomain(X4)),antidomain(X4)) = one,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain3) ).
fof(codomain3,axiom,
! [X4] : addition(coantidomain(coantidomain(X4)),coantidomain(X4)) = one,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',codomain3) ).
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(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
fof(multiplicative_right_identity,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
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(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(right_annihilation,axiom,
! [X1] : multiplication(X1,zero) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).
fof(complement,axiom,
! [X4] : c(X4) = antidomain(domain(X4)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+6.ax',complement) ).
fof(domain4,axiom,
! [X4] : domain(X4) = antidomain(antidomain(X4)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain4) ).
fof(goals,conjecture,
! [X4,X5] : addition(forward_diamond(X4,backward_box(X4,domain(X5))),domain(X5)) = domain(X5),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).
fof(forward_diamond,axiom,
! [X4,X5] : forward_diamond(X4,X5) = domain(multiplication(X4,domain(X5))),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+6.ax',forward_diamond) ).
fof(backward_box,axiom,
! [X4,X5] : backward_box(X4,X5) = c(backward_diamond(X4,c(X5))),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+6.ax',backward_box) ).
fof(backward_diamond,axiom,
! [X4,X5] : backward_diamond(X4,X5) = codomain(multiplication(codomain(X5),X4)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+6.ax',backward_diamond) ).
fof(codomain4,axiom,
! [X4] : codomain(X4) = coantidomain(coantidomain(X4)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',codomain4) ).
fof(c_0_24,plain,
! [X4,X5,X6] : multiplication(X4,addition(X5,X6)) = addition(multiplication(X4,X5),multiplication(X4,X6)),
inference(variable_rename,[status(thm)],[right_distributivity]) ).
fof(c_0_25,plain,
! [X5] : multiplication(X5,coantidomain(X5)) = zero,
inference(variable_rename,[status(thm)],[codomain1]) ).
fof(c_0_26,plain,
! [X2] : addition(X2,zero) = X2,
inference(variable_rename,[status(thm)],[additive_identity]) ).
cnf(c_0_27,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_28,plain,
multiplication(X1,coantidomain(X1)) = zero,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_29,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_30,plain,
! [X3,X4] : addition(X3,X4) = addition(X4,X3),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
cnf(c_0_31,plain,
multiplication(X1,addition(X2,coantidomain(X1))) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_32,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_33,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_34,plain,
! [X5] : multiplication(antidomain(X5),X5) = zero,
inference(variable_rename,[status(thm)],[domain1]) ).
cnf(c_0_35,plain,
multiplication(X1,addition(coantidomain(X1),X2)) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
fof(c_0_36,plain,
! [X5] : addition(antidomain(antidomain(X5)),antidomain(X5)) = one,
inference(variable_rename,[status(thm)],[domain3]) ).
fof(c_0_37,plain,
! [X5] : addition(coantidomain(coantidomain(X5)),coantidomain(X5)) = one,
inference(variable_rename,[status(thm)],[codomain3]) ).
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]) ).
cnf(c_0_40,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_41,plain,
multiplication(antidomain(X1),X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_42,plain,
addition(zero,multiplication(X1,X2)) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_35]) ).
cnf(c_0_43,plain,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_44,plain,
! [X2] : multiplication(one,X2) = X2,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
cnf(c_0_45,plain,
addition(coantidomain(coantidomain(X1)),coantidomain(X1)) = one,
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_46,plain,
! [X2] : multiplication(X2,one) = X2,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
cnf(c_0_47,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_48,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_49,plain,
multiplication(addition(antidomain(X1),X2),X1) = multiplication(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_50,plain,
addition(antidomain(X1),antidomain(antidomain(X1))) = one,
inference(rw,[status(thm)],[c_0_43,c_0_32]) ).
cnf(c_0_51,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_52,plain,
multiplication(antidomain(X1),addition(X1,X2)) = multiplication(antidomain(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_41]),c_0_42]) ).
cnf(c_0_53,plain,
addition(coantidomain(X1),coantidomain(coantidomain(X1))) = one,
inference(rw,[status(thm)],[c_0_45,c_0_32]) ).
cnf(c_0_54,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_55,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_56,plain,
multiplication(antidomain(antidomain(X1)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
cnf(c_0_57,plain,
multiplication(antidomain(X1),addition(X2,X1)) = multiplication(antidomain(X1),X2),
inference(spm,[status(thm)],[c_0_52,c_0_32]) ).
cnf(c_0_58,plain,
multiplication(addition(X1,X2),coantidomain(X2)) = multiplication(X1,coantidomain(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_28]),c_0_29]) ).
cnf(c_0_59,plain,
multiplication(X1,coantidomain(coantidomain(X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_53]),c_0_54]) ).
cnf(c_0_60,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(one,X2),X1),
inference(spm,[status(thm)],[c_0_40,c_0_51]) ).
cnf(c_0_61,plain,
addition(one,antidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_50]),c_0_32]) ).
cnf(c_0_62,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,antidomain(antidomain(X1))),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_56]),c_0_32]) ).
cnf(c_0_63,plain,
antidomain(antidomain(antidomain(X1))) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_50]),c_0_54]),c_0_56]) ).
cnf(c_0_64,plain,
multiplication(antidomain(coantidomain(X1)),coantidomain(coantidomain(X1))) = antidomain(coantidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).
cnf(c_0_65,plain,
coantidomain(coantidomain(coantidomain(X1))) = coantidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_53]),c_0_51]),c_0_59]) ).
cnf(c_0_66,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(one,X2)),
inference(spm,[status(thm)],[c_0_27,c_0_54]) ).
cnf(c_0_67,plain,
addition(one,coantidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_53]),c_0_32]) ).
cnf(c_0_68,plain,
addition(X1,multiplication(antidomain(X2),X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_51]) ).
fof(c_0_69,plain,
! [X4,X5,X6] : multiplication(X4,multiplication(X5,X6)) = multiplication(multiplication(X4,X5),X6),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
cnf(c_0_70,plain,
addition(antidomain(X1),multiplication(X2,antidomain(X1))) = multiplication(addition(X2,antidomain(X1)),antidomain(X1)),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_71,plain,
multiplication(antidomain(coantidomain(coantidomain(X1))),coantidomain(X1)) = antidomain(coantidomain(coantidomain(X1))),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_72,plain,
addition(X1,addition(X2,X3)) = addition(X2,addition(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_32]),c_0_47]) ).
cnf(c_0_73,plain,
addition(X1,multiplication(X1,coantidomain(X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_54]) ).
cnf(c_0_74,plain,
addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
inference(spm,[status(thm)],[c_0_32,c_0_47]) ).
cnf(c_0_75,plain,
addition(antidomain(coantidomain(X1)),coantidomain(coantidomain(X1))) = coantidomain(coantidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_64]),c_0_32]) ).
cnf(c_0_76,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_77,plain,
multiplication(addition(one,X1),antidomain(X2)) = multiplication(addition(X1,antidomain(X2)),antidomain(X2)),
inference(rw,[status(thm)],[c_0_70,c_0_60]) ).
cnf(c_0_78,plain,
addition(coantidomain(X1),antidomain(coantidomain(coantidomain(X1)))) = coantidomain(X1),
inference(spm,[status(thm)],[c_0_68,c_0_71]) ).
cnf(c_0_79,plain,
addition(X1,addition(X2,multiplication(X1,coantidomain(X3)))) = addition(X2,X1),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_80,plain,
addition(antidomain(coantidomain(X1)),addition(coantidomain(coantidomain(X1)),X2)) = addition(X2,coantidomain(coantidomain(X1))),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_81,plain,
addition(X1,multiplication(X1,antidomain(X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_61]),c_0_54]) ).
cnf(c_0_82,plain,
multiplication(antidomain(antidomain(X1)),multiplication(X1,X2)) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_76,c_0_56]) ).
cnf(c_0_83,plain,
multiplication(coantidomain(X1),antidomain(coantidomain(coantidomain(X1)))) = antidomain(coantidomain(coantidomain(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_67]),c_0_51]) ).
cnf(c_0_84,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,coantidomain(coantidomain(X1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_59]),c_0_32]) ).
cnf(c_0_85,plain,
addition(multiplication(antidomain(coantidomain(X1)),coantidomain(X2)),coantidomain(coantidomain(X1))) = coantidomain(coantidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_32]),c_0_75]) ).
cnf(c_0_86,plain,
multiplication(antidomain(X1),coantidomain(antidomain(antidomain(X1)))) = coantidomain(antidomain(antidomain(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_50]),c_0_51]) ).
cnf(c_0_87,plain,
addition(X1,addition(X2,multiplication(X1,antidomain(X3)))) = addition(X2,X1),
inference(spm,[status(thm)],[c_0_72,c_0_81]) ).
cnf(c_0_88,plain,
multiplication(antidomain(antidomain(coantidomain(X1))),antidomain(coantidomain(coantidomain(X1)))) = antidomain(coantidomain(coantidomain(X1))),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_89,plain,
addition(coantidomain(X1),multiplication(coantidomain(X1),X2)) = multiplication(coantidomain(X1),addition(X2,coantidomain(X1))),
inference(spm,[status(thm)],[c_0_84,c_0_65]) ).
cnf(c_0_90,plain,
addition(coantidomain(coantidomain(X1)),coantidomain(antidomain(antidomain(coantidomain(X1))))) = coantidomain(coantidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_32]) ).
cnf(c_0_91,plain,
multiplication(addition(X1,coantidomain(coantidomain(X2))),coantidomain(X2)) = multiplication(X1,coantidomain(X2)),
inference(spm,[status(thm)],[c_0_58,c_0_65]) ).
cnf(c_0_92,plain,
addition(multiplication(antidomain(coantidomain(X1)),antidomain(X2)),coantidomain(coantidomain(X1))) = coantidomain(coantidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_87]),c_0_32]),c_0_75]) ).
cnf(c_0_93,plain,
addition(antidomain(antidomain(coantidomain(X1))),antidomain(coantidomain(coantidomain(X1)))) = antidomain(antidomain(coantidomain(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_88]),c_0_61]),c_0_54]) ).
cnf(c_0_94,plain,
multiplication(coantidomain(coantidomain(X1)),antidomain(coantidomain(X1))) = antidomain(coantidomain(X1)),
inference(spm,[status(thm)],[c_0_83,c_0_65]) ).
fof(c_0_95,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_96,plain,
multiplication(coantidomain(X1),addition(one,X2)) = multiplication(coantidomain(X1),addition(X2,coantidomain(X1))),
inference(rw,[status(thm)],[c_0_89,c_0_66]) ).
cnf(c_0_97,plain,
addition(coantidomain(X1),coantidomain(antidomain(antidomain(coantidomain(coantidomain(X1)))))) = coantidomain(X1),
inference(spm,[status(thm)],[c_0_90,c_0_65]) ).
cnf(c_0_98,plain,
multiplication(coantidomain(coantidomain(X1)),addition(coantidomain(X1),X2)) = multiplication(coantidomain(coantidomain(X1)),X2),
inference(spm,[status(thm)],[c_0_35,c_0_65]) ).
cnf(c_0_99,plain,
multiplication(coantidomain(coantidomain(X1)),coantidomain(X1)) = multiplication(antidomain(coantidomain(X1)),multiplication(antidomain(X2),coantidomain(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_76]) ).
cnf(c_0_100,plain,
multiplication(antidomain(coantidomain(X1)),antidomain(coantidomain(coantidomain(X1)))) = multiplication(antidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_93]),c_0_63]),c_0_63]) ).
cnf(c_0_101,plain,
multiplication(antidomain(antidomain(coantidomain(coantidomain(X1)))),antidomain(coantidomain(X1))) = antidomain(coantidomain(X1)),
inference(spm,[status(thm)],[c_0_82,c_0_94]) ).
cnf(c_0_102,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_95]) ).
cnf(c_0_103,plain,
multiplication(coantidomain(coantidomain(X1)),coantidomain(X1)) = multiplication(antidomain(coantidomain(X1)),multiplication(coantidomain(X2),coantidomain(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_85]),c_0_76]) ).
cnf(c_0_104,plain,
multiplication(coantidomain(antidomain(antidomain(coantidomain(coantidomain(X1))))),coantidomain(X1)) = coantidomain(antidomain(antidomain(coantidomain(coantidomain(X1))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_67]),c_0_54]) ).
cnf(c_0_105,plain,
multiplication(coantidomain(coantidomain(X1)),antidomain(coantidomain(coantidomain(X1)))) = multiplication(coantidomain(coantidomain(X1)),coantidomain(X1)),
inference(spm,[status(thm)],[c_0_98,c_0_78]) ).
cnf(c_0_106,plain,
multiplication(coantidomain(coantidomain(X1)),coantidomain(X1)) = multiplication(antidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_71]),c_0_100]) ).
cnf(c_0_107,plain,
addition(antidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(coantidomain(X1))))) = antidomain(antidomain(coantidomain(coantidomain(X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_101]),c_0_61]),c_0_54]),c_0_32]) ).
cnf(c_0_108,plain,
addition(coantidomain(multiplication(X1,X2)),addition(coantidomain(multiplication(coantidomain(coantidomain(X1)),X2)),X3)) = addition(coantidomain(multiplication(coantidomain(coantidomain(X1)),X2)),X3),
inference(spm,[status(thm)],[c_0_47,c_0_102]) ).
cnf(c_0_109,plain,
coantidomain(one) = zero,
inference(spm,[status(thm)],[c_0_28,c_0_51]) ).
cnf(c_0_110,plain,
addition(antidomain(X1),coantidomain(coantidomain(antidomain(X1)))) = coantidomain(coantidomain(antidomain(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_59]),c_0_32]) ).
cnf(c_0_111,plain,
addition(X1,addition(X2,addition(X3,X1))) = addition(X2,addition(X3,X1)),
inference(spm,[status(thm)],[c_0_55,c_0_74]) ).
cnf(c_0_112,plain,
multiplication(antidomain(coantidomain(X1)),coantidomain(antidomain(antidomain(coantidomain(coantidomain(X1)))))) = multiplication(coantidomain(coantidomain(X1)),coantidomain(X1)),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_113,plain,
multiplication(coantidomain(coantidomain(X1)),antidomain(coantidomain(coantidomain(X1)))) = multiplication(antidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1)))),
inference(rw,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_114,plain,
multiplication(antidomain(coantidomain(coantidomain(X1))),antidomain(antidomain(coantidomain(coantidomain(X1))))) = multiplication(antidomain(coantidomain(coantidomain(X1))),antidomain(coantidomain(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_107]),c_0_63]),c_0_63]) ).
cnf(c_0_115,plain,
addition(coantidomain(zero),addition(coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),X1)),X2)) = addition(coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),X1)),X2),
inference(spm,[status(thm)],[c_0_108,c_0_41]) ).
cnf(c_0_116,plain,
coantidomain(zero) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_59]),c_0_109]) ).
cnf(c_0_117,plain,
addition(antidomain(X1),addition(coantidomain(coantidomain(antidomain(X1))),X2)) = addition(X2,coantidomain(coantidomain(antidomain(X1)))),
inference(spm,[status(thm)],[c_0_74,c_0_110]) ).
cnf(c_0_118,plain,
multiplication(addition(X1,X2),coantidomain(X1)) = multiplication(X2,coantidomain(X1)),
inference(spm,[status(thm)],[c_0_58,c_0_32]) ).
cnf(c_0_119,plain,
addition(multiplication(X1,X2),addition(X3,multiplication(X1,addition(X4,X2)))) = addition(X3,multiplication(X1,addition(X4,X2))),
inference(spm,[status(thm)],[c_0_111,c_0_27]) ).
cnf(c_0_120,plain,
multiplication(antidomain(coantidomain(X1)),coantidomain(antidomain(antidomain(coantidomain(coantidomain(X1)))))) = multiplication(antidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1)))),
inference(rw,[status(thm)],[c_0_112,c_0_106]) ).
cnf(c_0_121,plain,
multiplication(antidomain(coantidomain(coantidomain(X1))),antidomain(coantidomain(X1))) = multiplication(coantidomain(X1),antidomain(coantidomain(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_65]),c_0_114]) ).
cnf(c_0_122,plain,
multiplication(X1,addition(X2,addition(X3,coantidomain(X1)))) = multiplication(X1,addition(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_31]),c_0_27]) ).
cnf(c_0_123,plain,
addition(one,addition(coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),X1)),X2)) = addition(coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),X1)),X2),
inference(rw,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_124,plain,
addition(multiplication(X1,X2),addition(X3,multiplication(addition(X4,X1),X2))) = addition(X3,multiplication(addition(X4,X1),X2)),
inference(spm,[status(thm)],[c_0_111,c_0_40]) ).
cnf(c_0_125,plain,
addition(multiplication(antidomain(X1),coantidomain(X2)),coantidomain(coantidomain(antidomain(X1)))) = coantidomain(coantidomain(antidomain(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_117]),c_0_32]),c_0_110]) ).
cnf(c_0_126,plain,
multiplication(antidomain(antidomain(X1)),coantidomain(antidomain(X1))) = coantidomain(antidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_50]),c_0_51]) ).
cnf(c_0_127,plain,
addition(multiplication(antidomain(addition(X1,X2)),X2),X3) = X3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_41]),c_0_29]),c_0_29]) ).
cnf(c_0_128,plain,
multiplication(antidomain(coantidomain(coantidomain(X1))),coantidomain(antidomain(antidomain(coantidomain(X1))))) = multiplication(coantidomain(X1),antidomain(coantidomain(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_65]),c_0_114]),c_0_121]) ).
cnf(c_0_129,plain,
multiplication(X1,coantidomain(multiplication(coantidomain(coantidomain(antidomain(X2))),X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_31]),c_0_67]),c_0_54]) ).
cnf(c_0_130,plain,
multiplication(addition(antidomain(antidomain(X1)),X2),X1) = addition(X1,multiplication(X2,X1)),
inference(spm,[status(thm)],[c_0_40,c_0_56]) ).
cnf(c_0_131,plain,
addition(X1,multiplication(coantidomain(X2),X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_67]),c_0_51]) ).
cnf(c_0_132,plain,
addition(multiplication(X1,coantidomain(addition(X2,X1))),X3) = X3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_28]),c_0_29]),c_0_29]) ).
cnf(c_0_133,plain,
addition(coantidomain(antidomain(X1)),coantidomain(coantidomain(antidomain(antidomain(X1))))) = coantidomain(coantidomain(antidomain(antidomain(X1)))),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_134,plain,
addition(multiplication(X1,addition(X2,X3)),X4) = addition(multiplication(X1,X2),addition(multiplication(X1,X3),X4)),
inference(spm,[status(thm)],[c_0_47,c_0_27]) ).
cnf(c_0_135,plain,
addition(multiplication(coantidomain(X1),antidomain(coantidomain(X1))),X2) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_90]),c_0_128]) ).
cnf(c_0_136,plain,
addition(X1,multiplication(coantidomain(coantidomain(antidomain(X2))),X2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_129]),c_0_129]) ).
cnf(c_0_137,plain,
multiplication(coantidomain(coantidomain(antidomain(antidomain(X1)))),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_110]),c_0_131]) ).
fof(c_0_138,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_139,plain,
addition(X1,multiplication(X2,coantidomain(addition(X3,X2)))) = X1,
inference(spm,[status(thm)],[c_0_32,c_0_132]) ).
cnf(c_0_140,plain,
multiplication(antidomain(coantidomain(antidomain(antidomain(X1)))),antidomain(antidomain(coantidomain(antidomain(antidomain(X1)))))) = multiplication(coantidomain(antidomain(X1)),coantidomain(antidomain(antidomain(X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_133]),c_0_65]),c_0_106]),c_0_65]) ).
cnf(c_0_141,plain,
addition(multiplication(X1,antidomain(X2)),addition(multiplication(X1,antidomain(antidomain(X2))),X3)) = addition(X1,X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_50]),c_0_54]) ).
cnf(c_0_142,plain,
multiplication(coantidomain(X1),antidomain(coantidomain(X1))) = multiplication(coantidomain(coantidomain(antidomain(X2))),X2),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_143,plain,
multiplication(coantidomain(coantidomain(antidomain(X1))),antidomain(X1)) = antidomain(X1),
inference(spm,[status(thm)],[c_0_137,c_0_63]) ).
cnf(c_0_144,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_138]) ).
cnf(c_0_145,plain,
addition(X1,multiplication(coantidomain(antidomain(X2)),coantidomain(antidomain(antidomain(X2))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_133]),c_0_65]),c_0_106]),c_0_140]) ).
cnf(c_0_146,plain,
addition(coantidomain(coantidomain(antidomain(X1))),X2) = addition(antidomain(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_63]),c_0_143]),c_0_135]),c_0_63]) ).
cnf(c_0_147,plain,
addition(antidomain(zero),antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1)))))) = antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1))))),
inference(spm,[status(thm)],[c_0_144,c_0_28]) ).
cnf(c_0_148,plain,
antidomain(antidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),X1)))) = coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),X1)),
inference(spm,[status(thm)],[c_0_56,c_0_129]) ).
cnf(c_0_149,plain,
coantidomain(coantidomain(antidomain(X1))) = antidomain(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_145]) ).
cnf(c_0_150,plain,
antidomain(one) = zero,
inference(spm,[status(thm)],[c_0_41,c_0_54]) ).
cnf(c_0_151,plain,
addition(multiplication(addition(X1,X2),X3),X4) = addition(multiplication(X1,X3),addition(multiplication(X2,X3),X4)),
inference(spm,[status(thm)],[c_0_47,c_0_40]) ).
cnf(c_0_152,plain,
addition(antidomain(zero),addition(X1,antidomain(multiplication(X2,antidomain(antidomain(coantidomain(X2))))))) = addition(X1,antidomain(multiplication(X2,antidomain(antidomain(coantidomain(X2)))))),
inference(spm,[status(thm)],[c_0_72,c_0_147]) ).
cnf(c_0_153,plain,
antidomain(zero) = 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)],[c_0_148,c_0_149]),c_0_41]),c_0_116]),c_0_150]),c_0_149]),c_0_41]),c_0_116]) ).
cnf(c_0_154,plain,
addition(multiplication(X1,antidomain(zero)),addition(multiplication(X1,antidomain(multiplication(X2,antidomain(antidomain(coantidomain(X2)))))),X3)) = addition(multiplication(X1,antidomain(multiplication(X2,antidomain(antidomain(coantidomain(X2)))))),X3),
inference(spm,[status(thm)],[c_0_134,c_0_147]) ).
cnf(c_0_155,plain,
addition(X1,addition(multiplication(X1,antidomain(X2)),X3)) = addition(X1,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_61]),c_0_54]),c_0_54]) ).
cnf(c_0_156,plain,
addition(X1,addition(multiplication(coantidomain(X2),X1),X3)) = addition(X1,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_67]),c_0_51]),c_0_51]) ).
cnf(c_0_157,plain,
multiplication(addition(X1,addition(antidomain(X2),X3)),X2) = multiplication(addition(X1,X3),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_49]),c_0_40]) ).
cnf(c_0_158,plain,
addition(one,addition(X1,antidomain(multiplication(X2,antidomain(antidomain(coantidomain(X2))))))) = addition(X1,antidomain(multiplication(X2,antidomain(antidomain(coantidomain(X2)))))),
inference(rw,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_159,plain,
addition(multiplication(X1,antidomain(multiplication(X2,antidomain(antidomain(coantidomain(X2)))))),X3) = addition(X1,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_153]),c_0_54]),c_0_155]) ).
cnf(c_0_160,plain,
addition(X1,multiplication(coantidomain(X2),multiplication(X1,antidomain(X3)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_81]),c_0_131]),c_0_76]) ).
cnf(c_0_161,plain,
multiplication(antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1))))),X2) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_49]),c_0_61]),c_0_51]) ).
cnf(c_0_162,plain,
multiplication(addition(X1,antidomain(X2)),X2) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_49,c_0_32]) ).
cnf(c_0_163,plain,
multiplication(X1,antidomain(multiplication(X2,antidomain(antidomain(coantidomain(X2)))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_159]),c_0_160]) ).
cnf(c_0_164,plain,
addition(multiplication(X1,antidomain(antidomain(coantidomain(X1)))),X2) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_161]),c_0_161]) ).
cnf(c_0_165,plain,
addition(X1,antidomain(antidomain(multiplication(X2,antidomain(antidomain(coantidomain(X2))))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_163]) ).
cnf(c_0_166,plain,
addition(multiplication(X1,antidomain(coantidomain(X1))),X2) = addition(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_164]),c_0_63]) ).
cnf(c_0_167,plain,
multiplication(addition(antidomain(addition(X1,X2)),X3),X2) = multiplication(X3,X2),
inference(spm,[status(thm)],[c_0_40,c_0_127]) ).
cnf(c_0_168,plain,
multiplication(X1,addition(coantidomain(addition(X2,X1)),X3)) = multiplication(X1,X3),
inference(spm,[status(thm)],[c_0_27,c_0_132]) ).
cnf(c_0_169,plain,
multiplication(X1,antidomain(coantidomain(X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_165]) ).
cnf(c_0_170,plain,
multiplication(antidomain(antidomain(addition(X1,X2))),X2) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_50]),c_0_51]) ).
cnf(c_0_171,plain,
multiplication(X1,coantidomain(coantidomain(addition(X2,X1)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_53]),c_0_54]) ).
cnf(c_0_172,plain,
coantidomain(coantidomain(X1)) = antidomain(coantidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_65]),c_0_94]) ).
cnf(c_0_173,plain,
multiplication(antidomain(antidomain(X1)),multiplication(coantidomain(X2),X1)) = multiplication(coantidomain(X2),X1),
inference(spm,[status(thm)],[c_0_170,c_0_131]) ).
fof(c_0_174,plain,
! [X2] : multiplication(zero,X2) = zero,
inference(variable_rename,[status(thm)],[left_annihilation]) ).
cnf(c_0_175,plain,
multiplication(X1,antidomain(coantidomain(addition(X2,X1)))) = X1,
inference(rw,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_176,plain,
antidomain(antidomain(coantidomain(X1))) = coantidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_169]),c_0_63]),c_0_71]),c_0_172]) ).
cnf(c_0_177,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_174]) ).
cnf(c_0_178,plain,
multiplication(X1,multiplication(coantidomain(X2),antidomain(coantidomain(X1)))) = multiplication(X1,coantidomain(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_73]),c_0_76]) ).
cnf(c_0_179,plain,
multiplication(coantidomain(X1),multiplication(coantidomain(X2),coantidomain(X1))) = multiplication(coantidomain(X2),coantidomain(X1)),
inference(spm,[status(thm)],[c_0_173,c_0_176]) ).
cnf(c_0_180,plain,
multiplication(X1,multiplication(coantidomain(X1),X2)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_28]),c_0_177]) ).
cnf(c_0_181,plain,
multiplication(coantidomain(X1),coantidomain(X2)) = multiplication(coantidomain(X2),coantidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_172]),c_0_176]),c_0_179]) ).
cnf(c_0_182,plain,
addition(antidomain(zero),antidomain(multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2)))))) = antidomain(multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2))))),
inference(spm,[status(thm)],[c_0_144,c_0_180]) ).
cnf(c_0_183,plain,
multiplication(antidomain(coantidomain(X1)),coantidomain(X2)) = multiplication(coantidomain(X2),antidomain(coantidomain(X1))),
inference(spm,[status(thm)],[c_0_181,c_0_172]) ).
cnf(c_0_184,plain,
coantidomain(antidomain(X1)) = antidomain(antidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_149]),c_0_126]) ).
cnf(c_0_185,plain,
multiplication(addition(X1,addition(X2,X3)),coantidomain(X3)) = multiplication(addition(X1,X2),coantidomain(X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_58]),c_0_40]) ).
cnf(c_0_186,plain,
addition(X1,multiplication(addition(X1,X2),antidomain(X3))) = addition(X1,multiplication(X2,antidomain(X3))),
inference(spm,[status(thm)],[c_0_155,c_0_40]) ).
cnf(c_0_187,plain,
addition(coantidomain(X1),antidomain(coantidomain(X1))) = one,
inference(rw,[status(thm)],[c_0_53,c_0_172]) ).
cnf(c_0_188,plain,
antidomain(multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_182,c_0_153]),c_0_61]) ).
cnf(c_0_189,plain,
multiplication(antidomain(X1),coantidomain(X2)) = multiplication(coantidomain(X2),antidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_63]),c_0_63]) ).
cnf(c_0_190,plain,
multiplication(addition(X1,X2),coantidomain(addition(X3,X1))) = multiplication(X2,coantidomain(addition(X3,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_111]),c_0_58]) ).
cnf(c_0_191,plain,
addition(coantidomain(X1),multiplication(antidomain(coantidomain(X1)),antidomain(X2))) = addition(coantidomain(X1),antidomain(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_51]) ).
cnf(c_0_192,plain,
addition(X1,multiplication(X2,antidomain(antidomain(multiplication(coantidomain(X2),X3))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_188]),c_0_51]),c_0_51]) ).
cnf(c_0_193,plain,
multiplication(antidomain(X1),antidomain(coantidomain(X2))) = multiplication(antidomain(coantidomain(X2)),antidomain(X1)),
inference(spm,[status(thm)],[c_0_189,c_0_172]) ).
fof(c_0_194,plain,
! [X2] : multiplication(X2,zero) = zero,
inference(variable_rename,[status(thm)],[right_annihilation]) ).
cnf(c_0_195,plain,
multiplication(antidomain(antidomain(X1)),coantidomain(addition(X2,antidomain(X1)))) = coantidomain(addition(X2,antidomain(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_50]),c_0_51]) ).
cnf(c_0_196,plain,
addition(coantidomain(X1),antidomain(antidomain(multiplication(coantidomain(X1),X2)))) = coantidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_184]),c_0_176]) ).
cnf(c_0_197,plain,
multiplication(antidomain(X1),antidomain(X2)) = multiplication(antidomain(X2),antidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_184]),c_0_63]),c_0_63]) ).
cnf(c_0_198,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_102,c_0_76]) ).
cnf(c_0_199,plain,
multiplication(X1,zero) = zero,
inference(split_conjunct,[status(thm)],[c_0_194]) ).
cnf(c_0_200,plain,
multiplication(antidomain(coantidomain(X1)),antidomain(multiplication(coantidomain(X1),X2))) = antidomain(coantidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_63]),c_0_172]),c_0_172]),c_0_197]) ).
cnf(c_0_201,plain,
addition(coantidomain(zero),coantidomain(multiplication(coantidomain(coantidomain(multiplication(X1,antidomain(X2)))),X2))) = coantidomain(multiplication(coantidomain(coantidomain(multiplication(X1,antidomain(X2)))),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_41]),c_0_199]) ).
cnf(c_0_202,plain,
multiplication(antidomain(X1),antidomain(multiplication(antidomain(antidomain(X1)),X2))) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_184]),c_0_63]),c_0_63]) ).
cnf(c_0_203,plain,
multiplication(antidomain(antidomain(addition(X1,X2))),X1) = X1,
inference(spm,[status(thm)],[c_0_170,c_0_32]) ).
cnf(c_0_204,plain,
addition(X1,addition(multiplication(antidomain(X2),X1),X3)) = addition(X1,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_61]),c_0_51]),c_0_51]) ).
cnf(c_0_205,plain,
coantidomain(multiplication(coantidomain(coantidomain(multiplication(X1,antidomain(X2)))),X2)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_201,c_0_116]),c_0_67]) ).
cnf(c_0_206,plain,
addition(X1,addition(multiplication(X1,coantidomain(X2)),X3)) = addition(X1,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_67]),c_0_54]),c_0_54]) ).
cnf(c_0_207,plain,
multiplication(antidomain(X1),antidomain(addition(X1,X2))) = antidomain(addition(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_197]) ).
cnf(c_0_208,plain,
addition(X1,multiplication(antidomain(X2),addition(X1,X3))) = addition(X1,multiplication(antidomain(X2),X3)),
inference(spm,[status(thm)],[c_0_204,c_0_27]) ).
cnf(c_0_209,plain,
coantidomain(multiplication(antidomain(coantidomain(multiplication(X1,antidomain(X2)))),X2)) = one,
inference(rw,[status(thm)],[c_0_205,c_0_172]) ).
cnf(c_0_210,plain,
addition(X1,multiplication(addition(X1,X2),coantidomain(X3))) = addition(X1,multiplication(X2,coantidomain(X3))),
inference(spm,[status(thm)],[c_0_206,c_0_40]) ).
cnf(c_0_211,plain,
addition(antidomain(X1),antidomain(addition(X1,X2))) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_207]),c_0_61]),c_0_54]) ).
cnf(c_0_212,plain,
addition(coantidomain(X1),multiplication(antidomain(X2),antidomain(coantidomain(X1)))) = addition(coantidomain(X1),antidomain(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_187]),c_0_54]) ).
cnf(c_0_213,plain,
addition(X1,multiplication(antidomain(coantidomain(multiplication(X2,antidomain(X3)))),X3)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_209]),c_0_54]),c_0_54]) ).
cnf(c_0_214,plain,
multiplication(X1,multiplication(X2,coantidomain(multiplication(X1,X2)))) = zero,
inference(spm,[status(thm)],[c_0_28,c_0_76]) ).
cnf(c_0_215,plain,
addition(coantidomain(X1),multiplication(antidomain(coantidomain(X1)),coantidomain(X2))) = addition(coantidomain(X1),coantidomain(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_187]),c_0_51]) ).
cnf(c_0_216,plain,
addition(antidomain(X1),antidomain(addition(X2,X1))) = antidomain(X1),
inference(spm,[status(thm)],[c_0_211,c_0_79]) ).
cnf(c_0_217,plain,
addition(coantidomain(X1),antidomain(coantidomain(multiplication(X2,coantidomain(X1))))) = coantidomain(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_176]) ).
cnf(c_0_218,plain,
multiplication(X1,addition(X2,multiplication(X3,coantidomain(multiplication(X1,X3))))) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_214]),c_0_29]) ).
cnf(c_0_219,plain,
addition(antidomain(coantidomain(X1)),multiplication(coantidomain(X1),coantidomain(X2))) = addition(antidomain(coantidomain(X1)),coantidomain(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_172]),c_0_176]) ).
cnf(c_0_220,plain,
addition(antidomain(coantidomain(X1)),coantidomain(multiplication(X2,coantidomain(X1)))) = coantidomain(multiplication(X2,coantidomain(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_176]),c_0_176]),c_0_32]) ).
cnf(c_0_221,plain,
multiplication(X1,multiplication(antidomain(coantidomain(X1)),X2)) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_76,c_0_169]) ).
cnf(c_0_222,plain,
multiplication(X1,coantidomain(multiplication(X1,coantidomain(X2)))) = multiplication(X1,antidomain(coantidomain(X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_220]) ).
cnf(c_0_223,plain,
multiplication(X1,coantidomain(multiplication(antidomain(coantidomain(X1)),coantidomain(X2)))) = multiplication(X1,antidomain(coantidomain(X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_221]) ).
cnf(c_0_224,plain,
multiplication(X1,coantidomain(multiplication(coantidomain(X2),antidomain(coantidomain(X1))))) = multiplication(X1,antidomain(coantidomain(X2))),
inference(spm,[status(thm)],[c_0_223,c_0_189]) ).
cnf(c_0_225,plain,
coantidomain(multiplication(coantidomain(X1),coantidomain(X2))) = addition(antidomain(coantidomain(X2)),multiplication(coantidomain(X2),antidomain(coantidomain(X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_224]),c_0_172]),c_0_176]),c_0_220]) ).
cnf(c_0_226,plain,
coantidomain(multiplication(coantidomain(X1),antidomain(coantidomain(X2)))) = addition(coantidomain(X2),antidomain(coantidomain(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_172]),c_0_176]),c_0_191]) ).
cnf(c_0_227,plain,
coantidomain(multiplication(coantidomain(X1),antidomain(X2))) = addition(antidomain(antidomain(X2)),antidomain(coantidomain(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_184]),c_0_63]) ).
cnf(c_0_228,plain,
addition(multiplication(X1,X2),multiplication(X3,multiplication(X4,X2))) = multiplication(addition(X1,multiplication(X3,X4)),X2),
inference(spm,[status(thm)],[c_0_40,c_0_76]) ).
cnf(c_0_229,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,antidomain(coantidomain(X1)))),
inference(rw,[status(thm)],[c_0_84,c_0_172]) ).
cnf(c_0_230,plain,
multiplication(antidomain(X1),antidomain(multiplication(X1,X2))) = antidomain(X1),
inference(spm,[status(thm)],[c_0_202,c_0_82]) ).
cnf(c_0_231,plain,
multiplication(X1,addition(coantidomain(coantidomain(X1)),X2)) = addition(X1,multiplication(X1,X2)),
inference(spm,[status(thm)],[c_0_27,c_0_59]) ).
cnf(c_0_232,plain,
coantidomain(multiplication(antidomain(coantidomain(X1)),antidomain(X2))) = addition(antidomain(antidomain(X2)),coantidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_172]),c_0_176]) ).
cnf(c_0_233,plain,
multiplication(addition(X1,multiplication(antidomain(antidomain(multiplication(X2,X3))),X2)),X3) = multiplication(addition(X1,X2),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_56]),c_0_40]) ).
cnf(c_0_234,plain,
multiplication(antidomain(X1),antidomain(multiplication(coantidomain(X2),X1))) = antidomain(X1),
inference(spm,[status(thm)],[c_0_202,c_0_173]) ).
cnf(c_0_235,plain,
antidomain(multiplication(X1,addition(X2,antidomain(coantidomain(X1))))) = antidomain(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_229]),c_0_230]) ).
cnf(c_0_236,plain,
multiplication(X1,addition(antidomain(coantidomain(X1)),X2)) = addition(X1,multiplication(X1,X2)),
inference(rw,[status(thm)],[c_0_231,c_0_172]) ).
cnf(c_0_237,plain,
multiplication(antidomain(X1),antidomain(addition(X2,X1))) = antidomain(addition(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_170]),c_0_197]) ).
cnf(c_0_238,plain,
coantidomain(multiplication(antidomain(X1),antidomain(X2))) = addition(antidomain(antidomain(X2)),antidomain(antidomain(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_184]),c_0_63]) ).
cnf(c_0_239,plain,
multiplication(antidomain(antidomain(multiplication(coantidomain(X1),X2))),X2) = multiplication(coantidomain(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_73]),c_0_32]),c_0_196]) ).
cnf(c_0_240,plain,
addition(antidomain(X1),antidomain(multiplication(coantidomain(X2),X1))) = antidomain(multiplication(coantidomain(X2),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_234]),c_0_61]),c_0_51]),c_0_32]) ).
cnf(c_0_241,plain,
antidomain(addition(X1,multiplication(X1,X2))) = antidomain(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_32]),c_0_236]) ).
cnf(c_0_242,plain,
multiplication(antidomain(antidomain(X1)),antidomain(antidomain(X1))) = antidomain(antidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_50]),c_0_54]) ).
cnf(c_0_243,plain,
multiplication(antidomain(coantidomain(X1)),coantidomain(multiplication(X2,coantidomain(X1)))) = antidomain(coantidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_217]),c_0_176]),c_0_189]) ).
cnf(c_0_244,plain,
multiplication(X1,coantidomain(coantidomain(addition(X1,X2)))) = X1,
inference(spm,[status(thm)],[c_0_171,c_0_32]) ).
cnf(c_0_245,plain,
addition(antidomain(antidomain(X1)),antidomain(coantidomain(X2))) = antidomain(multiplication(coantidomain(X2),antidomain(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_227]),c_0_63]),c_0_240]) ).
cnf(c_0_246,plain,
antidomain(addition(X1,antidomain(antidomain(X1)))) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_56]),c_0_63]),c_0_32]) ).
cnf(c_0_247,plain,
antidomain(multiplication(antidomain(X1),addition(X2,antidomain(X1)))) = antidomain(antidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_184]),c_0_63]) ).
cnf(c_0_248,plain,
multiplication(antidomain(X1),antidomain(X1)) = antidomain(X1),
inference(spm,[status(thm)],[c_0_242,c_0_63]) ).
cnf(c_0_249,plain,
multiplication(coantidomain(X1),coantidomain(multiplication(X2,antidomain(coantidomain(X1))))) = coantidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_172]),c_0_176]),c_0_176]) ).
cnf(c_0_250,plain,
multiplication(X1,antidomain(coantidomain(addition(X1,X2)))) = X1,
inference(rw,[status(thm)],[c_0_244,c_0_172]) ).
cnf(c_0_251,plain,
addition(antidomain(antidomain(X1)),coantidomain(X2)) = antidomain(multiplication(antidomain(coantidomain(X2)),antidomain(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_172]),c_0_176]) ).
cnf(c_0_252,plain,
antidomain(multiplication(antidomain(X1),addition(one,X2))) = antidomain(antidomain(X1)),
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_246,c_0_247]),c_0_63]),c_0_134]),c_0_248]),c_0_48]),c_0_32]),c_0_66]) ).
cnf(c_0_253,plain,
multiplication(coantidomain(X1),coantidomain(addition(X1,X2))) = coantidomain(addition(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_181]) ).
cnf(c_0_254,plain,
addition(X1,multiplication(X2,antidomain(coantidomain(X1)))) = multiplication(addition(X1,X2),antidomain(coantidomain(X1))),
inference(spm,[status(thm)],[c_0_40,c_0_169]) ).
cnf(c_0_255,plain,
addition(antidomain(X1),coantidomain(X2)) = antidomain(multiplication(antidomain(coantidomain(X2)),antidomain(antidomain(X1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_63]) ).
cnf(c_0_256,plain,
coantidomain(multiplication(addition(X1,X2),antidomain(coantidomain(X1)))) = coantidomain(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_249]) ).
cnf(c_0_257,plain,
addition(multiplication(X1,multiplication(X2,X3)),multiplication(X4,X3)) = multiplication(addition(multiplication(X1,X2),X4),X3),
inference(spm,[status(thm)],[c_0_40,c_0_76]) ).
cnf(c_0_258,plain,
addition(coantidomain(X1),antidomain(X2)) = antidomain(multiplication(antidomain(coantidomain(X1)),antidomain(antidomain(X2)))),
inference(spm,[status(thm)],[c_0_32,c_0_255]) ).
cnf(c_0_259,plain,
multiplication(antidomain(antidomain(X1)),multiplication(antidomain(X2),X1)) = multiplication(antidomain(X2),X1),
inference(spm,[status(thm)],[c_0_170,c_0_68]) ).
cnf(c_0_260,plain,
multiplication(X1,multiplication(antidomain(X2),antidomain(coantidomain(X1)))) = multiplication(X1,antidomain(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_81]),c_0_76]) ).
cnf(c_0_261,plain,
coantidomain(multiplication(addition(X1,antidomain(antidomain(X2))),X2)) = coantidomain(X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_62]),c_0_76]),c_0_169]) ).
cnf(c_0_262,plain,
addition(X1,multiplication(X2,multiplication(X3,X1))) = multiplication(addition(multiplication(X2,X3),antidomain(antidomain(X1))),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_56]),c_0_32]) ).
cnf(c_0_263,plain,
addition(coantidomain(X1),multiplication(antidomain(X2),antidomain(coantidomain(X1)))) = antidomain(multiplication(antidomain(coantidomain(X1)),antidomain(antidomain(X2)))),
inference(rw,[status(thm)],[c_0_212,c_0_258]) ).
cnf(c_0_264,plain,
multiplication(antidomain(X1),multiplication(antidomain(X2),antidomain(X1))) = multiplication(antidomain(X2),antidomain(X1)),
inference(spm,[status(thm)],[c_0_259,c_0_63]) ).
cnf(c_0_265,plain,
multiplication(X1,antidomain(antidomain(addition(X2,antidomain(coantidomain(X1)))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_170]),c_0_169]) ).
cnf(c_0_266,plain,
coantidomain(addition(X1,multiplication(X2,multiplication(X3,X1)))) = coantidomain(X1),
inference(spm,[status(thm)],[c_0_261,c_0_262]) ).
cnf(c_0_267,plain,
multiplication(antidomain(coantidomain(X1)),antidomain(multiplication(antidomain(coantidomain(X1)),antidomain(antidomain(X2))))) = multiplication(antidomain(X2),antidomain(coantidomain(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_263]),c_0_264]) ).
cnf(c_0_268,plain,
multiplication(coantidomain(X1),antidomain(antidomain(addition(X2,coantidomain(X1))))) = coantidomain(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_172]),c_0_176]) ).
cnf(c_0_269,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(spm,[status(thm)],[c_0_60,c_0_230]),c_0_61]),c_0_51]),c_0_32]) ).
cnf(c_0_270,plain,
coantidomain(addition(antidomain(coantidomain(X1)),multiplication(X2,X1))) = coantidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_169]),c_0_184]),c_0_176]) ).
cnf(c_0_271,plain,
multiplication(coantidomain(X1),antidomain(multiplication(coantidomain(X1),antidomain(antidomain(X2))))) = multiplication(antidomain(X2),coantidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_172]),c_0_176]),c_0_176]),c_0_176]) ).
cnf(c_0_272,plain,
antidomain(multiplication(coantidomain(X1),addition(one,X2))) = antidomain(coantidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_96]),c_0_268]),c_0_32]),c_0_269]),c_0_268]) ).
cnf(c_0_273,plain,
coantidomain(addition(multiplication(X1,X2),antidomain(coantidomain(X2)))) = coantidomain(X2),
inference(spm,[status(thm)],[c_0_270,c_0_32]) ).
cnf(c_0_274,plain,
multiplication(coantidomain(X1),antidomain(multiplication(coantidomain(X1),coantidomain(X2)))) = multiplication(antidomain(coantidomain(X2)),coantidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_272]),c_0_176]) ).
cnf(c_0_275,plain,
multiplication(coantidomain(X1),coantidomain(multiplication(X2,X1))) = coantidomain(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_273]),c_0_181]) ).
cnf(c_0_276,plain,
multiplication(X1,antidomain(multiplication(coantidomain(X1),X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_200]),c_0_169]) ).
cnf(c_0_277,plain,
multiplication(coantidomain(X1),antidomain(multiplication(coantidomain(X1),antidomain(X2)))) = multiplication(antidomain(antidomain(X2)),coantidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_252]),c_0_63]) ).
fof(c_0_278,plain,
! [X5] : c(X5) = antidomain(domain(X5)),
inference(variable_rename,[status(thm)],[complement]) ).
fof(c_0_279,plain,
! [X5] : domain(X5) = antidomain(antidomain(X5)),
inference(variable_rename,[status(thm)],[domain4]) ).
cnf(c_0_280,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_144,c_0_76]),c_0_76]) ).
cnf(c_0_281,plain,
addition(antidomain(antidomain(X1)),antidomain(X2)) = antidomain(multiplication(antidomain(antidomain(X2)),antidomain(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_184]),c_0_63]) ).
cnf(c_0_282,plain,
multiplication(coantidomain(X1),antidomain(multiplication(coantidomain(X2),coantidomain(X1)))) = multiplication(antidomain(coantidomain(X2)),coantidomain(X1)),
inference(spm,[status(thm)],[c_0_274,c_0_181]) ).
cnf(c_0_283,plain,
multiplication(coantidomain(X1),antidomain(multiplication(coantidomain(X1),antidomain(coantidomain(X2))))) = multiplication(coantidomain(X2),coantidomain(X1)),
inference(spm,[status(thm)],[c_0_271,c_0_176]) ).
cnf(c_0_284,plain,
multiplication(coantidomain(X1),antidomain(multiplication(coantidomain(X1),antidomain(multiplication(coantidomain(X1),X2))))) = antidomain(antidomain(multiplication(coantidomain(X1),X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_184]),c_0_184]),c_0_277]) ).
fof(c_0_285,negated_conjecture,
~ ! [X4,X5] : addition(forward_diamond(X4,backward_box(X4,domain(X5))),domain(X5)) = domain(X5),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_286,plain,
! [X6,X7] : forward_diamond(X6,X7) = domain(multiplication(X6,domain(X7))),
inference(variable_rename,[status(thm)],[forward_diamond]) ).
fof(c_0_287,plain,
! [X6,X7] : backward_box(X6,X7) = c(backward_diamond(X6,c(X7))),
inference(variable_rename,[status(thm)],[backward_box]) ).
cnf(c_0_288,plain,
c(X1) = antidomain(domain(X1)),
inference(split_conjunct,[status(thm)],[c_0_278]) ).
cnf(c_0_289,plain,
domain(X1) = antidomain(antidomain(X1)),
inference(split_conjunct,[status(thm)],[c_0_279]) ).
fof(c_0_290,plain,
! [X6,X7] : backward_diamond(X6,X7) = codomain(multiplication(codomain(X7),X6)),
inference(variable_rename,[status(thm)],[backward_diamond]) ).
fof(c_0_291,plain,
! [X5] : codomain(X5) = coantidomain(coantidomain(X5)),
inference(variable_rename,[status(thm)],[codomain4]) ).
cnf(c_0_292,plain,
addition(antidomain(multiplication(X1,antidomain(antidomain(X2)))),antidomain(multiplication(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))),multiplication(X1,X2)))) = antidomain(multiplication(X1,antidomain(antidomain(X2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_56]),c_0_32]) ).
cnf(c_0_293,plain,
addition(antidomain(X1),antidomain(X2)) = antidomain(multiplication(antidomain(antidomain(X2)),antidomain(antidomain(X1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_252]),c_0_63]) ).
cnf(c_0_294,plain,
antidomain(antidomain(multiplication(coantidomain(X1),antidomain(coantidomain(X2))))) = multiplication(antidomain(coantidomain(X2)),coantidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_283]),c_0_284]) ).
fof(c_0_295,negated_conjecture,
addition(forward_diamond(esk1_0,backward_box(esk1_0,domain(esk2_0))),domain(esk2_0)) != domain(esk2_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_285])])]) ).
cnf(c_0_296,plain,
forward_diamond(X1,X2) = domain(multiplication(X1,domain(X2))),
inference(split_conjunct,[status(thm)],[c_0_286]) ).
cnf(c_0_297,plain,
backward_box(X1,X2) = c(backward_diamond(X1,c(X2))),
inference(split_conjunct,[status(thm)],[c_0_287]) ).
cnf(c_0_298,plain,
c(X1) = antidomain(antidomain(antidomain(X1))),
inference(rw,[status(thm)],[c_0_288,c_0_289]) ).
cnf(c_0_299,plain,
backward_diamond(X1,X2) = codomain(multiplication(codomain(X2),X1)),
inference(split_conjunct,[status(thm)],[c_0_290]) ).
cnf(c_0_300,plain,
codomain(X1) = coantidomain(coantidomain(X1)),
inference(split_conjunct,[status(thm)],[c_0_291]) ).
cnf(c_0_301,plain,
antidomain(multiplication(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))),antidomain(antidomain(multiplication(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))),multiplication(X1,X2)))))) = antidomain(multiplication(X1,antidomain(antidomain(X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_292,c_0_293]),c_0_197]) ).
cnf(c_0_302,plain,
antidomain(multiplication(antidomain(antidomain(X1)),antidomain(antidomain(multiplication(antidomain(antidomain(X1)),X2))))) = antidomain(multiplication(antidomain(antidomain(X1)),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_276]),c_0_184]),c_0_184]),c_0_293]) ).
cnf(c_0_303,plain,
antidomain(antidomain(multiplication(coantidomain(X1),antidomain(coantidomain(X2))))) = multiplication(coantidomain(X1),antidomain(coantidomain(X2))),
inference(spm,[status(thm)],[c_0_189,c_0_294]) ).
cnf(c_0_304,plain,
multiplication(coantidomain(X1),coantidomain(X1)) = coantidomain(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_53]),c_0_54]) ).
cnf(c_0_305,negated_conjecture,
addition(forward_diamond(esk1_0,backward_box(esk1_0,domain(esk2_0))),domain(esk2_0)) != domain(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_295]) ).
cnf(c_0_306,plain,
forward_diamond(X1,X2) = antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_296,c_0_289]),c_0_289]) ).
cnf(c_0_307,plain,
backward_box(X1,X2) = antidomain(antidomain(antidomain(backward_diamond(X1,antidomain(antidomain(antidomain(X2))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_297,c_0_298]),c_0_298]) ).
cnf(c_0_308,plain,
backward_diamond(X1,X2) = coantidomain(coantidomain(multiplication(coantidomain(coantidomain(X2)),X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_299,c_0_300]),c_0_300]) ).
cnf(c_0_309,plain,
antidomain(multiplication(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))),multiplication(X1,X2))) = antidomain(multiplication(X1,antidomain(antidomain(X2)))),
inference(rw,[status(thm)],[c_0_301,c_0_302]) ).
cnf(c_0_310,plain,
antidomain(antidomain(multiplication(coantidomain(X1),antidomain(X2)))) = multiplication(coantidomain(X1),antidomain(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_184]),c_0_63]),c_0_63]) ).
cnf(c_0_311,plain,
multiplication(coantidomain(X1),multiplication(coantidomain(X1),X2)) = multiplication(coantidomain(X1),X2),
inference(spm,[status(thm)],[c_0_76,c_0_304]) ).
cnf(c_0_312,negated_conjecture,
addition(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(esk2_0))))))),esk1_0))))))))))),antidomain(antidomain(esk2_0))) != antidomain(antidomain(esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_305,c_0_289]),c_0_289]),c_0_289]),c_0_306]),c_0_307]),c_0_308]) ).
cnf(c_0_313,plain,
antidomain(multiplication(coantidomain(X1),antidomain(antidomain(X2)))) = antidomain(multiplication(coantidomain(X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_310]),c_0_76]),c_0_173]),c_0_311]) ).
cnf(c_0_314,negated_conjecture,
addition(antidomain(antidomain(esk2_0)),antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(esk2_0))))))),esk1_0)))))))))))) != antidomain(antidomain(esk2_0)),
inference(rw,[status(thm)],[c_0_312,c_0_32]) ).
cnf(c_0_315,plain,
multiplication(coantidomain(X1),antidomain(antidomain(X2))) = antidomain(antidomain(multiplication(coantidomain(X1),X2))),
inference(spm,[status(thm)],[c_0_310,c_0_313]) ).
cnf(c_0_316,negated_conjecture,
addition(antidomain(antidomain(esk2_0)),antidomain(antidomain(multiplication(esk1_0,antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(esk2_0))),esk1_0)))))))) != antidomain(antidomain(esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_314,c_0_63]),c_0_63]),c_0_63]),c_0_63]) ).
cnf(c_0_317,plain,
multiplication(antidomain(coantidomain(X1)),antidomain(antidomain(X2))) = antidomain(antidomain(multiplication(antidomain(coantidomain(X1)),X2))),
inference(spm,[status(thm)],[c_0_315,c_0_172]) ).
cnf(c_0_318,negated_conjecture,
addition(antidomain(antidomain(esk2_0)),antidomain(antidomain(multiplication(esk1_0,antidomain(coantidomain(coantidomain(multiplication(antidomain(esk2_0),esk1_0)))))))) != antidomain(antidomain(esk2_0)),
inference(rw,[status(thm)],[c_0_316,c_0_149]) ).
cnf(c_0_319,plain,
antidomain(coantidomain(coantidomain(X1))) = coantidomain(X1),
inference(rw,[status(thm)],[c_0_83,c_0_169]) ).
cnf(c_0_320,plain,
addition(antidomain(X1),coantidomain(X2)) = antidomain(multiplication(antidomain(coantidomain(X2)),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_255,c_0_317]),c_0_63]) ).
cnf(c_0_321,plain,
multiplication(coantidomain(coantidomain(X1)),multiplication(X2,coantidomain(multiplication(X1,X2)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_102]),c_0_76]),c_0_214]),c_0_76]) ).
cnf(c_0_322,negated_conjecture,
addition(antidomain(antidomain(esk2_0)),antidomain(antidomain(multiplication(esk1_0,coantidomain(multiplication(antidomain(esk2_0),esk1_0)))))) != antidomain(antidomain(esk2_0)),
inference(rw,[status(thm)],[c_0_318,c_0_319]) ).
cnf(c_0_323,plain,
multiplication(X1,antidomain(multiplication(antidomain(coantidomain(X1)),X2))) = multiplication(X1,antidomain(X2)),
inference(spm,[status(thm)],[c_0_31,c_0_320]) ).
cnf(c_0_324,plain,
multiplication(antidomain(coantidomain(X1)),multiplication(X2,coantidomain(multiplication(X1,X2)))) = zero,
inference(rw,[status(thm)],[c_0_321,c_0_172]) ).
cnf(c_0_325,negated_conjecture,
antidomain(multiplication(antidomain(esk2_0),antidomain(multiplication(esk1_0,coantidomain(multiplication(antidomain(esk2_0),esk1_0)))))) != antidomain(antidomain(esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_322,c_0_281]),c_0_63]),c_0_197]) ).
cnf(c_0_326,plain,
multiplication(X1,antidomain(multiplication(X2,coantidomain(multiplication(X1,X2))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_324]),c_0_153]),c_0_54]) ).
cnf(c_0_327,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_325,c_0_326])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE109+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n018.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 11:21:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.32/23.39 eprover: CPU time limit exceeded, terminating
% 0.32/23.40 eprover: CPU time limit exceeded, terminating
% 0.32/23.40 eprover: CPU time limit exceeded, terminating
% 0.32/23.40 eprover: CPU time limit exceeded, terminating
% 0.43/46.41 eprover: CPU time limit exceeded, terminating
% 0.43/46.41 eprover: CPU time limit exceeded, terminating
% 0.43/46.42 eprover: CPU time limit exceeded, terminating
% 0.43/46.45 eprover: CPU time limit exceeded, terminating
% 0.55/69.43 eprover: CPU time limit exceeded, terminating
% 0.55/69.43 eprover: CPU time limit exceeded, terminating
% 0.55/69.46 eprover: CPU time limit exceeded, terminating
% 0.55/69.46 eprover: CPU time limit exceeded, terminating
% 0.66/92.45 eprover: CPU time limit exceeded, terminating
% 0.66/92.47 eprover: CPU time limit exceeded, terminating
% 0.66/92.47 eprover: CPU time limit exceeded, terminating
% 0.66/92.48 eprover: CPU time limit exceeded, terminating
% 0.77/115.49 eprover: CPU time limit exceeded, terminating
% 0.77/115.49 eprover: CPU time limit exceeded, terminating
% 0.77/115.49 eprover: CPU time limit exceeded, terminating
% 0.77/115.50 eprover: CPU time limit exceeded, terminating
% 0.88/138.50 eprover: CPU time limit exceeded, terminating
% 0.88/138.51 eprover: CPU time limit exceeded, terminating
% 0.88/138.51 eprover: CPU time limit exceeded, terminating
% 0.88/138.53 eprover: CPU time limit exceeded, terminating
% 0.99/161.52 eprover: CPU time limit exceeded, terminating
% 0.99/161.52 eprover: CPU time limit exceeded, terminating
% 0.99/161.55 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.99/161.55
% 1.09/179.25 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 1.09/179.25
% 1.09/179.25 # Failure: Resource limit exceeded (time)
% 1.09/179.25 # OLD status Res
% 1.09/179.25 # Preprocessing time : 0.015 s
% 1.09/179.25 # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 1.09/179.25
% 1.09/179.25 # Failure: Resource limit exceeded (time)
% 1.09/179.25 # OLD status Res
% 1.09/179.25 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 1.09/179.25 # Preprocessing time : 0.011 s
% 1.09/179.25 # Running protocol protocol_eprover_75515770aeb32f68e33e9fbd9dff93f5a2e34f2e for 23 seconds:
% 1.09/179.25
% 1.09/179.25 # Failure: Resource limit exceeded (time)
% 1.09/179.25 # OLD status Res
% 1.09/179.25 # Preprocessing time : 0.020 s
% 1.09/179.25 # Running protocol protocol_eprover_6c565d2524e660970ec2a72c26d577f665a55420 for 23 seconds:
% 1.09/179.25
% 1.09/179.25 # Failure: Resource limit exceeded (time)
% 1.09/179.25 # OLD status Res
% 1.09/179.25 # Preprocessing time : 0.008 s
% 1.09/179.25 # Running protocol protocol_eprover_750456fc664a9e0b97096ad0f5110b1ead7d782b for 23 seconds:
% 1.09/179.25
% 1.09/179.25 # Failure: Resource limit exceeded (time)
% 1.09/179.25 # OLD status Res
% 1.09/179.25 # Preprocessing time : 0.011 s
% 1.09/179.25 # Running protocol protocol_eprover_a9abcacdf80c460fdc9fe242616d68da2308faf5 for 23 seconds:
% 1.09/179.25
% 1.09/179.25 # Failure: Resource limit exceeded (time)
% 1.09/179.25 # OLD status Res
% 1.09/179.25 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,02,500,1.0)
% 1.09/179.25 # Preprocessing time : 0.008 s
% 1.09/179.25 # Running protocol protocol_eprover_e60008599937a0dc787316fd87bf9ff4d65ffb48 for 23 seconds:
% 1.09/179.25
% 1.09/179.25 # Failure: Resource limit exceeded (time)
% 1.09/179.25 # OLD status Res
% 1.09/179.25 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 1.09/179.25 # Preprocessing time : 0.008 s
% 1.09/179.25 # Running protocol protocol_eprover_03d534503f753dd3be02bb3c547fa7a3e34e825e for 23 seconds:
% 1.09/179.25 # Preprocessing time : 0.015 s
% 1.09/179.25
% 1.09/179.25 # Proof found!
% 1.09/179.25 # SZS status Theorem
% 1.09/179.25 # SZS output start CNFRefutation
% See solution above
% 1.09/179.25 # Proof object total steps : 328
% 1.09/179.25 # Proof object clause steps : 279
% 1.09/179.25 # Proof object formula steps : 49
% 1.09/179.25 # Proof object conjectures : 11
% 1.09/179.25 # Proof object clause conjectures : 8
% 1.09/179.25 # Proof object formula conjectures : 3
% 1.09/179.25 # Proof object initial clauses used : 24
% 1.09/179.25 # Proof object initial formulas used : 24
% 1.09/179.25 # Proof object generating inferences : 220
% 1.09/179.25 # Proof object simplifying inferences : 283
% 1.09/179.25 # Training examples: 0 positive, 0 negative
% 1.09/179.25 # Parsed axioms : 27
% 1.09/179.25 # Removed by relevancy pruning/SinE : 0
% 1.09/179.25 # Initial clauses : 28
% 1.09/179.25 # Removed in clause preprocessing : 8
% 1.09/179.25 # Initial clauses in saturation : 20
% 1.09/179.25 # Processed clauses : 11958
% 1.09/179.25 # ...of these trivial : 4914
% 1.09/179.25 # ...subsumed : 5194
% 1.09/179.25 # ...remaining for further processing : 1850
% 1.09/179.25 # Other redundant clauses eliminated : 0
% 1.09/179.25 # Clauses deleted for lack of memory : 479229
% 1.09/179.25 # Backward-subsumed : 28
% 1.09/179.25 # Backward-rewritten : 1007
% 1.09/179.25 # Generated clauses : 1045958
% 1.09/179.25 # ...of the previous two non-trivial : 759185
% 1.09/179.25 # Contextual simplify-reflections : 0
% 1.09/179.25 # Paramodulations : 1045958
% 1.09/179.25 # Factorizations : 0
% 1.09/179.25 # Equation resolutions : 0
% 1.09/179.25 # Current number of processed clauses : 815
% 1.09/179.25 # Positive orientable unit clauses : 708
% 1.09/179.25 # Positive unorientable unit clauses: 105
% 1.09/179.25 # Negative unit clauses : 0
% 1.09/179.25 # Non-unit-clauses : 2
% 1.09/179.25 # Current number of unprocessed clauses: 73773
% 1.09/179.25 # ...number of literals in the above : 73773
% 1.09/179.25 # Current number of archived formulas : 0
% 1.09/179.25 # Current number of archived clauses : 1043
% 1.09/179.25 # Clause-clause subsumption calls (NU) : 0
% 1.09/179.25 # Rec. Clause-clause subsumption calls : 0
% 1.09/179.25 # Non-unit clause-clause subsumptions : 0
% 1.09/179.25 # Unit Clause-clause subsumption calls : 3721
% 1.09/179.25 # Rewrite failures with RHS unbound : 1167
% 1.09/179.25 # BW rewrite match attempts : 21725
% 1.09/179.25 # BW rewrite match successes : 2227
% 1.09/179.25 # Condensation attempts : 0
% 1.09/179.25 # Condensation successes : 0
% 1.09/179.25 # Termbank termtop insertions : 22549582
% 1.09/179.25
% 1.09/179.25 # -------------------------------------------------
% 1.09/179.25 # User time : 17.338 s
% 1.09/179.25 # System time : 0.157 s
% 1.09/179.25 # Total time : 17.495 s
% 1.09/179.25 # Maximum resident set size: 159676 pages
% 1.09/184.56 eprover: CPU time limit exceeded, terminating
% 1.09/184.57 eprover: CPU time limit exceeded, terminating
% 1.09/184.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.09/184.57 eprover: No such file or directory
% 1.09/184.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.09/184.58 eprover: No such file or directory
% 1.09/184.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.09/184.58 eprover: No such file or directory
% 1.09/184.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.09/184.59 eprover: No such file or directory
% 1.09/184.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.09/184.59 eprover: No such file or directory
% 1.09/184.59 eprover: CPU time limit exceeded, terminating
% 1.09/184.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.09/184.60 eprover: No such file or directory
% 1.09/184.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.09/184.60 eprover: No such file or directory
% 1.09/184.61 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.09/184.61 eprover: No such file or directory
% 1.09/184.61 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.09/184.61 eprover: No such file or directory
% 1.09/184.62 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.09/184.62 eprover: No such file or directory
% 1.09/184.62 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.09/184.62 eprover: No such file or directory
% 1.09/184.63 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.09/184.63 eprover: No such file or directory
%------------------------------------------------------------------------------