TSTP Solution File: KLE124+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : KLE124+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n010.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 01:56:05 EDT 2022
% Result : Theorem 0.61s 58.79s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 21
% Syntax : Number of formulae : 264 ( 261 unt; 0 def)
% Number of atoms : 273 ( 272 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 17 ( 8 ~; 0 |; 7 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 1 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 191 ( 14 sgn 74 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
! [X4,X5,X6,X7,X8] :
( ( addition(domain(X6),domain(X5)) = domain(X5)
& addition(backward_diamond(X4,domain(X5)),domain(X7)) = domain(X7)
& addition(domain(X7),domain(X8)) = domain(X8) )
=> addition(backward_diamond(X4,domain(X6)),domain(X8)) = domain(X8) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',goals) ).
fof(domain4,axiom,
! [X4] : domain(X4) = antidomain(antidomain(X4)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain4) ).
fof(domain3,axiom,
! [X4] : addition(antidomain(antidomain(X4)),antidomain(X4)) = one,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain3) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
fof(multiplicative_right_identity,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
fof(domain1,axiom,
! [X4] : multiplication(antidomain(X4),X4) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain1) ).
fof(codomain3,axiom,
! [X4] : addition(coantidomain(coantidomain(X4)),coantidomain(X4)) = one,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',codomain3) ).
fof(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
fof(codomain1,axiom,
! [X4] : multiplication(X4,coantidomain(X4)) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',codomain1) ).
fof(left_distributivity,axiom,
! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
fof(additive_identity,axiom,
! [X1] : addition(X1,zero) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(additive_associativity,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).
fof(additive_idempotence,axiom,
! [X1] : addition(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
fof(domain2,axiom,
! [X4,X5] : addition(antidomain(multiplication(X4,X5)),antidomain(multiplication(X4,antidomain(antidomain(X5))))) = antidomain(multiplication(X4,antidomain(antidomain(X5)))),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain2) ).
fof(codomain2,axiom,
! [X4,X5] : addition(coantidomain(multiplication(X4,X5)),coantidomain(multiplication(coantidomain(coantidomain(X4)),X5))) = coantidomain(multiplication(coantidomain(coantidomain(X4)),X5)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',codomain2) ).
fof(multiplicative_associativity,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).
fof(right_distributivity,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).
fof(backward_diamond,axiom,
! [X4,X5] : backward_diamond(X4,X5) = codomain(multiplication(codomain(X5),X4)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+6.ax',backward_diamond) ).
fof(codomain4,axiom,
! [X4] : codomain(X4) = coantidomain(coantidomain(X4)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',codomain4) ).
fof(right_annihilation,axiom,
! [X1] : multiplication(X1,zero) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).
fof(left_annihilation,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
fof(c_0_21,negated_conjecture,
~ ! [X4,X5,X6,X7,X8] :
( ( addition(domain(X6),domain(X5)) = domain(X5)
& addition(backward_diamond(X4,domain(X5)),domain(X7)) = domain(X7)
& addition(domain(X7),domain(X8)) = domain(X8) )
=> addition(backward_diamond(X4,domain(X6)),domain(X8)) = domain(X8) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_22,negated_conjecture,
( addition(domain(esk3_0),domain(esk2_0)) = domain(esk2_0)
& addition(backward_diamond(esk1_0,domain(esk2_0)),domain(esk4_0)) = domain(esk4_0)
& addition(domain(esk4_0),domain(esk5_0)) = domain(esk5_0)
& addition(backward_diamond(esk1_0,domain(esk3_0)),domain(esk5_0)) != domain(esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
fof(c_0_23,plain,
! [X5] : domain(X5) = antidomain(antidomain(X5)),
inference(variable_rename,[status(thm)],[domain4]) ).
fof(c_0_24,plain,
! [X5] : addition(antidomain(antidomain(X5)),antidomain(X5)) = one,
inference(variable_rename,[status(thm)],[domain3]) ).
fof(c_0_25,plain,
! [X3,X4] : addition(X3,X4) = addition(X4,X3),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
fof(c_0_26,plain,
! [X2] : multiplication(X2,one) = X2,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
fof(c_0_27,plain,
! [X5] : multiplication(antidomain(X5),X5) = zero,
inference(variable_rename,[status(thm)],[domain1]) ).
fof(c_0_28,plain,
! [X5] : addition(coantidomain(coantidomain(X5)),coantidomain(X5)) = one,
inference(variable_rename,[status(thm)],[codomain3]) ).
fof(c_0_29,plain,
! [X2] : multiplication(one,X2) = X2,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
fof(c_0_30,plain,
! [X5] : multiplication(X5,coantidomain(X5)) = zero,
inference(variable_rename,[status(thm)],[codomain1]) ).
fof(c_0_31,plain,
! [X4,X5,X6] : multiplication(addition(X4,X5),X6) = addition(multiplication(X4,X6),multiplication(X5,X6)),
inference(variable_rename,[status(thm)],[left_distributivity]) ).
cnf(c_0_32,negated_conjecture,
addition(domain(esk4_0),domain(esk5_0)) = domain(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33,plain,
domain(X1) = antidomain(antidomain(X1)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_34,plain,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_35,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_36,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_37,plain,
multiplication(antidomain(X1),X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_38,plain,
! [X2] : addition(X2,zero) = X2,
inference(variable_rename,[status(thm)],[additive_identity]) ).
fof(c_0_39,plain,
! [X4,X5,X6] : addition(X6,addition(X5,X4)) = addition(addition(X6,X5),X4),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
fof(c_0_40,plain,
! [X2] : addition(X2,X2) = X2,
inference(variable_rename,[status(thm)],[additive_idempotence]) ).
cnf(c_0_41,plain,
addition(coantidomain(coantidomain(X1)),coantidomain(X1)) = one,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_42,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_43,plain,
multiplication(X1,coantidomain(X1)) = zero,
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_44,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_45,negated_conjecture,
addition(antidomain(antidomain(esk4_0)),antidomain(antidomain(esk5_0))) = antidomain(antidomain(esk5_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33]),c_0_33]),c_0_33]) ).
cnf(c_0_46,plain,
addition(antidomain(X1),antidomain(antidomain(X1))) = one,
inference(rw,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_47,plain,
antidomain(one) = zero,
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_48,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_49,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_50,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_51,plain,
addition(coantidomain(X1),coantidomain(coantidomain(X1))) = one,
inference(rw,[status(thm)],[c_0_41,c_0_35]) ).
cnf(c_0_52,plain,
coantidomain(one) = zero,
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_53,negated_conjecture,
addition(domain(esk3_0),domain(esk2_0)) = domain(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_54,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_55,negated_conjecture,
addition(multiplication(antidomain(antidomain(esk4_0)),X1),multiplication(antidomain(antidomain(esk5_0)),X1)) = multiplication(antidomain(antidomain(esk5_0)),X1),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_56,plain,
addition(zero,antidomain(zero)) = one,
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_57,plain,
addition(zero,X1) = X1,
inference(pm,[status(thm)],[c_0_48,c_0_35]) ).
cnf(c_0_58,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
fof(c_0_59,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_60,plain,
addition(zero,coantidomain(zero)) = one,
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_61,negated_conjecture,
addition(antidomain(antidomain(esk3_0)),antidomain(antidomain(esk2_0))) = antidomain(antidomain(esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_33]),c_0_33]),c_0_33]) ).
cnf(c_0_62,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_54]) ).
cnf(c_0_63,negated_conjecture,
multiplication(antidomain(antidomain(esk4_0)),antidomain(esk5_0)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_37]),c_0_48]) ).
cnf(c_0_64,plain,
antidomain(zero) = one,
inference(rw,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_65,plain,
addition(one,antidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_46]),c_0_35]) ).
cnf(c_0_66,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_59]) ).
cnf(c_0_67,plain,
coantidomain(zero) = one,
inference(rw,[status(thm)],[c_0_60,c_0_57]) ).
cnf(c_0_68,plain,
addition(one,coantidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_51]),c_0_35]) ).
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,negated_conjecture,
addition(multiplication(antidomain(antidomain(esk3_0)),X1),multiplication(antidomain(antidomain(esk2_0)),X1)) = multiplication(antidomain(antidomain(esk2_0)),X1),
inference(spm,[status(thm)],[c_0_44,c_0_61]) ).
cnf(c_0_71,negated_conjecture,
antidomain(multiplication(antidomain(antidomain(esk4_0)),antidomain(antidomain(antidomain(esk5_0))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]),c_0_65]) ).
cnf(c_0_72,negated_conjecture,
coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk4_0)))),antidomain(esk5_0))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_63]),c_0_67]),c_0_68]) ).
cnf(c_0_73,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_74,negated_conjecture,
multiplication(antidomain(antidomain(esk3_0)),antidomain(esk2_0)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_37]),c_0_48]) ).
cnf(c_0_75,negated_conjecture,
multiplication(antidomain(antidomain(esk4_0)),antidomain(antidomain(antidomain(esk5_0)))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_71]),c_0_42]) ).
cnf(c_0_76,negated_conjecture,
multiplication(coantidomain(coantidomain(antidomain(antidomain(esk4_0)))),antidomain(esk5_0)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_72]),c_0_73]),c_0_36]) ).
cnf(c_0_77,negated_conjecture,
antidomain(multiplication(antidomain(antidomain(esk3_0)),antidomain(antidomain(antidomain(esk2_0))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_74]),c_0_64]),c_0_65]) ).
cnf(c_0_78,negated_conjecture,
coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk3_0)))),antidomain(esk2_0))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_74]),c_0_67]),c_0_68]) ).
cnf(c_0_79,negated_conjecture,
coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk4_0)))),antidomain(antidomain(antidomain(esk5_0))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_75]),c_0_67]),c_0_68]) ).
cnf(c_0_80,negated_conjecture,
coantidomain(multiplication(coantidomain(coantidomain(coantidomain(coantidomain(antidomain(antidomain(esk4_0)))))),antidomain(esk5_0))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_76]),c_0_67]),c_0_68]) ).
cnf(c_0_81,negated_conjecture,
multiplication(antidomain(antidomain(esk3_0)),antidomain(antidomain(antidomain(esk2_0)))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_77]),c_0_42]) ).
cnf(c_0_82,negated_conjecture,
multiplication(coantidomain(coantidomain(antidomain(antidomain(esk3_0)))),antidomain(esk2_0)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_78]),c_0_73]),c_0_36]) ).
cnf(c_0_83,plain,
addition(multiplication(antidomain(multiplication(X1,X2)),X3),multiplication(antidomain(multiplication(X1,antidomain(antidomain(X2)))),X3)) = multiplication(antidomain(multiplication(X1,antidomain(antidomain(X2)))),X3),
inference(spm,[status(thm)],[c_0_44,c_0_62]) ).
cnf(c_0_84,plain,
addition(multiplication(coantidomain(X1),X2),multiplication(coantidomain(coantidomain(X1)),X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_51]),c_0_42]) ).
cnf(c_0_85,negated_conjecture,
multiplication(coantidomain(coantidomain(antidomain(antidomain(esk4_0)))),antidomain(antidomain(antidomain(esk5_0)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_79]),c_0_73]),c_0_36]) ).
cnf(c_0_86,negated_conjecture,
multiplication(coantidomain(coantidomain(coantidomain(coantidomain(antidomain(antidomain(esk4_0)))))),antidomain(esk5_0)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_80]),c_0_73]),c_0_36]) ).
cnf(c_0_87,negated_conjecture,
coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk3_0)))),antidomain(antidomain(antidomain(esk2_0))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_81]),c_0_67]),c_0_68]) ).
cnf(c_0_88,negated_conjecture,
coantidomain(multiplication(coantidomain(coantidomain(coantidomain(coantidomain(antidomain(antidomain(esk3_0)))))),antidomain(esk2_0))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_82]),c_0_67]),c_0_68]) ).
fof(c_0_89,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_90,plain,
multiplication(antidomain(multiplication(X1,X2)),multiplication(X1,antidomain(antidomain(X2)))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_37]),c_0_48]) ).
cnf(c_0_91,negated_conjecture,
multiplication(coantidomain(coantidomain(coantidomain(antidomain(antidomain(esk4_0))))),antidomain(antidomain(antidomain(esk5_0)))) = antidomain(antidomain(antidomain(esk5_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_57]) ).
cnf(c_0_92,negated_conjecture,
multiplication(coantidomain(coantidomain(coantidomain(antidomain(antidomain(esk4_0))))),antidomain(esk5_0)) = antidomain(esk5_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_86]),c_0_48]) ).
cnf(c_0_93,negated_conjecture,
multiplication(coantidomain(coantidomain(antidomain(antidomain(esk3_0)))),antidomain(antidomain(antidomain(esk2_0)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_87]),c_0_73]),c_0_36]) ).
cnf(c_0_94,negated_conjecture,
multiplication(coantidomain(coantidomain(coantidomain(coantidomain(antidomain(antidomain(esk3_0)))))),antidomain(esk2_0)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_88]),c_0_73]),c_0_36]) ).
cnf(c_0_95,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_96,plain,
addition(multiplication(antidomain(X1),X2),multiplication(antidomain(antidomain(X1)),X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_46]),c_0_42]) ).
cnf(c_0_97,negated_conjecture,
multiplication(antidomain(antidomain(esk5_0)),antidomain(antidomain(antidomain(esk5_0)))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]) ).
cnf(c_0_98,negated_conjecture,
multiplication(coantidomain(coantidomain(coantidomain(antidomain(antidomain(esk3_0))))),antidomain(antidomain(antidomain(esk2_0)))) = antidomain(antidomain(antidomain(esk2_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_93]),c_0_57]) ).
cnf(c_0_99,negated_conjecture,
multiplication(coantidomain(coantidomain(coantidomain(antidomain(antidomain(esk3_0))))),antidomain(esk2_0)) = antidomain(esk2_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_94]),c_0_48]) ).
cnf(c_0_100,plain,
addition(X1,multiplication(X1,antidomain(X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_65]),c_0_36]),c_0_36]) ).
cnf(c_0_101,negated_conjecture,
multiplication(antidomain(esk5_0),antidomain(antidomain(antidomain(esk5_0)))) = antidomain(antidomain(antidomain(esk5_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_48]) ).
cnf(c_0_102,plain,
addition(antidomain(X1),antidomain(antidomain(antidomain(X1)))) = antidomain(antidomain(antidomain(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_42]),c_0_42]) ).
cnf(c_0_103,negated_conjecture,
multiplication(antidomain(antidomain(esk2_0)),antidomain(antidomain(antidomain(esk2_0)))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_98]),c_0_99]) ).
cnf(c_0_104,plain,
coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),X1)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_37]),c_0_67]),c_0_68]) ).
cnf(c_0_105,negated_conjecture,
antidomain(antidomain(antidomain(esk5_0))) = antidomain(esk5_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]) ).
cnf(c_0_106,negated_conjecture,
multiplication(antidomain(esk2_0),antidomain(antidomain(antidomain(esk2_0)))) = antidomain(antidomain(antidomain(esk2_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_103]),c_0_48]) ).
cnf(c_0_107,negated_conjecture,
addition(antidomain(antidomain(esk4_0)),addition(antidomain(antidomain(esk5_0)),X1)) = addition(antidomain(antidomain(esk5_0)),X1),
inference(spm,[status(thm)],[c_0_49,c_0_45]) ).
cnf(c_0_108,negated_conjecture,
coantidomain(multiplication(coantidomain(coantidomain(antidomain(esk5_0))),antidomain(antidomain(esk5_0)))) = one,
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_109,negated_conjecture,
antidomain(antidomain(antidomain(esk2_0))) = antidomain(esk2_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_106]),c_0_102]) ).
cnf(c_0_110,plain,
addition(multiplication(antidomain(addition(X1,X2)),X1),multiplication(antidomain(addition(X1,X2)),X2)) = zero,
inference(spm,[status(thm)],[c_0_37,c_0_95]) ).
cnf(c_0_111,negated_conjecture,
addition(antidomain(antidomain(esk4_0)),antidomain(antidomain(antidomain(antidomain(esk5_0))))) = antidomain(antidomain(antidomain(antidomain(esk5_0)))),
inference(spm,[status(thm)],[c_0_107,c_0_102]) ).
cnf(c_0_112,plain,
addition(multiplication(X1,coantidomain(addition(X1,X2))),multiplication(X2,coantidomain(addition(X1,X2)))) = zero,
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_113,negated_conjecture,
multiplication(coantidomain(coantidomain(antidomain(esk5_0))),antidomain(antidomain(esk5_0))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_108]),c_0_73]),c_0_36]) ).
cnf(c_0_114,negated_conjecture,
addition(antidomain(antidomain(esk3_0)),addition(antidomain(antidomain(esk2_0)),X1)) = addition(antidomain(antidomain(esk2_0)),X1),
inference(spm,[status(thm)],[c_0_49,c_0_61]) ).
cnf(c_0_115,negated_conjecture,
coantidomain(multiplication(coantidomain(coantidomain(antidomain(esk2_0))),antidomain(antidomain(esk2_0)))) = one,
inference(spm,[status(thm)],[c_0_104,c_0_109]) ).
cnf(c_0_116,negated_conjecture,
multiplication(antidomain(antidomain(antidomain(antidomain(antidomain(esk5_0))))),antidomain(antidomain(esk4_0))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_37]),c_0_48]) ).
cnf(c_0_117,plain,
addition(multiplication(X1,coantidomain(addition(X2,X1))),multiplication(X2,coantidomain(addition(X2,X1)))) = zero,
inference(spm,[status(thm)],[c_0_35,c_0_112]) ).
cnf(c_0_118,plain,
multiplication(X1,coantidomain(addition(X1,X2))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_112]),c_0_48]) ).
cnf(c_0_119,negated_conjecture,
multiplication(coantidomain(antidomain(esk5_0)),antidomain(antidomain(esk5_0))) = antidomain(antidomain(esk5_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_113]),c_0_48]) ).
cnf(c_0_120,negated_conjecture,
addition(antidomain(antidomain(esk3_0)),antidomain(antidomain(antidomain(antidomain(esk2_0))))) = antidomain(antidomain(antidomain(antidomain(esk2_0)))),
inference(spm,[status(thm)],[c_0_114,c_0_102]) ).
cnf(c_0_121,negated_conjecture,
multiplication(coantidomain(coantidomain(antidomain(esk2_0))),antidomain(antidomain(esk2_0))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_115]),c_0_73]),c_0_36]) ).
fof(c_0_122,plain,
! [X6,X7] : backward_diamond(X6,X7) = codomain(multiplication(codomain(X7),X6)),
inference(variable_rename,[status(thm)],[backward_diamond]) ).
fof(c_0_123,plain,
! [X5] : codomain(X5) = coantidomain(coantidomain(X5)),
inference(variable_rename,[status(thm)],[codomain4]) ).
cnf(c_0_124,negated_conjecture,
coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(esk5_0))))))),antidomain(antidomain(esk4_0)))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_116]),c_0_67]),c_0_68]) ).
cnf(c_0_125,plain,
multiplication(X1,coantidomain(addition(X2,X1))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_118]),c_0_48]) ).
cnf(c_0_126,negated_conjecture,
addition(coantidomain(antidomain(esk5_0)),antidomain(antidomain(esk5_0))) = coantidomain(antidomain(esk5_0)),
inference(spm,[status(thm)],[c_0_100,c_0_119]) ).
cnf(c_0_127,negated_conjecture,
multiplication(antidomain(antidomain(antidomain(antidomain(antidomain(esk2_0))))),antidomain(antidomain(esk3_0))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_120]),c_0_37]),c_0_48]) ).
cnf(c_0_128,negated_conjecture,
multiplication(coantidomain(antidomain(esk2_0)),antidomain(antidomain(esk2_0))) = antidomain(antidomain(esk2_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_121]),c_0_48]) ).
cnf(c_0_129,plain,
backward_diamond(X1,X2) = codomain(multiplication(codomain(X2),X1)),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_130,plain,
codomain(X1) = coantidomain(coantidomain(X1)),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_131,negated_conjecture,
multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(esk5_0))))))),antidomain(antidomain(esk4_0))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_124]),c_0_73]),c_0_36]) ).
cnf(c_0_132,plain,
addition(multiplication(X1,coantidomain(X2)),multiplication(X1,coantidomain(coantidomain(X2)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_51]),c_0_36]) ).
cnf(c_0_133,negated_conjecture,
multiplication(antidomain(antidomain(esk5_0)),coantidomain(coantidomain(antidomain(esk5_0)))) = zero,
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_134,negated_conjecture,
coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(esk2_0))))))),antidomain(antidomain(esk3_0)))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_127]),c_0_67]),c_0_68]) ).
cnf(c_0_135,negated_conjecture,
addition(coantidomain(antidomain(esk2_0)),antidomain(antidomain(esk2_0))) = coantidomain(antidomain(esk2_0)),
inference(spm,[status(thm)],[c_0_100,c_0_128]) ).
cnf(c_0_136,negated_conjecture,
addition(backward_diamond(esk1_0,domain(esk2_0)),domain(esk4_0)) = domain(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_137,plain,
backward_diamond(X1,X2) = coantidomain(coantidomain(multiplication(coantidomain(coantidomain(X2)),X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_130]),c_0_130]) ).
cnf(c_0_138,negated_conjecture,
multiplication(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(esk5_0)))))),antidomain(antidomain(esk4_0))) = antidomain(antidomain(esk4_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_131]),c_0_48]) ).
cnf(c_0_139,negated_conjecture,
multiplication(antidomain(antidomain(esk5_0)),coantidomain(antidomain(esk5_0))) = antidomain(antidomain(esk5_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_48]) ).
cnf(c_0_140,negated_conjecture,
multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(esk2_0))))))),antidomain(antidomain(esk3_0))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_134]),c_0_73]),c_0_36]) ).
cnf(c_0_141,negated_conjecture,
multiplication(antidomain(antidomain(esk2_0)),coantidomain(coantidomain(antidomain(esk2_0)))) = zero,
inference(spm,[status(thm)],[c_0_125,c_0_135]) ).
cnf(c_0_142,negated_conjecture,
addition(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk1_0))),antidomain(antidomain(esk4_0))) = antidomain(antidomain(esk4_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_33]),c_0_33]),c_0_33]),c_0_137]) ).
cnf(c_0_143,negated_conjecture,
multiplication(coantidomain(antidomain(esk5_0)),antidomain(antidomain(esk4_0))) = antidomain(antidomain(esk4_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_105]),c_0_105]) ).
fof(c_0_144,plain,
! [X2] : multiplication(X2,zero) = zero,
inference(variable_rename,[status(thm)],[right_annihilation]) ).
cnf(c_0_145,plain,
addition(multiplication(antidomain(X1),X2),multiplication(antidomain(antidomain(antidomain(X1))),X2)) = multiplication(antidomain(antidomain(antidomain(X1))),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_42]),c_0_42]) ).
cnf(c_0_146,negated_conjecture,
multiplication(antidomain(antidomain(antidomain(esk5_0))),antidomain(antidomain(esk4_0))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_45]),c_0_37]),c_0_48]) ).
cnf(c_0_147,negated_conjecture,
antidomain(antidomain(esk5_0)) = coantidomain(antidomain(esk5_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_139]),c_0_105]),c_0_43]),c_0_48]) ).
cnf(c_0_148,plain,
addition(multiplication(X1,antidomain(X2)),multiplication(X1,antidomain(antidomain(X2)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_46]),c_0_36]) ).
cnf(c_0_149,negated_conjecture,
multiplication(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(esk2_0)))))),antidomain(antidomain(esk3_0))) = antidomain(antidomain(esk3_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_140]),c_0_48]) ).
cnf(c_0_150,negated_conjecture,
multiplication(antidomain(antidomain(esk2_0)),coantidomain(antidomain(esk2_0))) = antidomain(antidomain(esk2_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_141]),c_0_48]) ).
cnf(c_0_151,negated_conjecture,
addition(antidomain(antidomain(esk4_0)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk1_0)))) = antidomain(antidomain(esk4_0)),
inference(rw,[status(thm)],[c_0_142,c_0_35]) ).
cnf(c_0_152,negated_conjecture,
multiplication(antidomain(multiplication(coantidomain(antidomain(esk5_0)),esk4_0)),antidomain(antidomain(esk4_0))) = zero,
inference(spm,[status(thm)],[c_0_90,c_0_143]) ).
cnf(c_0_153,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_66,c_0_73]) ).
cnf(c_0_154,plain,
multiplication(X1,zero) = zero,
inference(split_conjunct,[status(thm)],[c_0_144]) ).
cnf(c_0_155,negated_conjecture,
multiplication(antidomain(esk5_0),antidomain(antidomain(esk4_0))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_48]) ).
cnf(c_0_156,negated_conjecture,
multiplication(coantidomain(antidomain(esk5_0)),antidomain(esk5_0)) = zero,
inference(spm,[status(thm)],[c_0_37,c_0_147]) ).
cnf(c_0_157,negated_conjecture,
multiplication(coantidomain(coantidomain(antidomain(esk5_0))),antidomain(esk5_0)) = coantidomain(coantidomain(antidomain(esk5_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_113]),c_0_105]),c_0_57]) ).
cnf(c_0_158,negated_conjecture,
multiplication(coantidomain(antidomain(esk2_0)),antidomain(antidomain(esk3_0))) = antidomain(antidomain(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_109]),c_0_109]) ).
cnf(c_0_159,negated_conjecture,
multiplication(antidomain(antidomain(antidomain(esk2_0))),antidomain(antidomain(esk3_0))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_61]),c_0_37]),c_0_48]) ).
cnf(c_0_160,negated_conjecture,
antidomain(antidomain(esk2_0)) = coantidomain(antidomain(esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_150]),c_0_109]),c_0_43]),c_0_48]) ).
cnf(c_0_161,negated_conjecture,
addition(antidomain(antidomain(esk4_0)),addition(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk1_0))),X1)) = addition(antidomain(antidomain(esk4_0)),X1),
inference(spm,[status(thm)],[c_0_49,c_0_151]) ).
cnf(c_0_162,plain,
addition(multiplication(antidomain(addition(X1,X2)),X2),multiplication(antidomain(addition(X1,X2)),X1)) = zero,
inference(spm,[status(thm)],[c_0_35,c_0_110]) ).
cnf(c_0_163,plain,
multiplication(antidomain(addition(X1,X2)),X1) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_110]),c_0_48]) ).
cnf(c_0_164,plain,
addition(X1,multiplication(antidomain(X2),X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_65]),c_0_42]),c_0_42]) ).
cnf(c_0_165,negated_conjecture,
multiplication(antidomain(multiplication(coantidomain(antidomain(esk5_0)),esk4_0)),antidomain(esk4_0)) = antidomain(multiplication(coantidomain(antidomain(esk5_0)),esk4_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_152]),c_0_48]) ).
cnf(c_0_166,plain,
coantidomain(multiplication(coantidomain(coantidomain(multiplication(X1,antidomain(X2)))),X2)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_37]),c_0_154]),c_0_67]),c_0_68]) ).
cnf(c_0_167,negated_conjecture,
multiplication(antidomain(esk5_0),antidomain(esk4_0)) = antidomain(esk5_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_155]),c_0_48]) ).
cnf(c_0_168,negated_conjecture,
coantidomain(coantidomain(antidomain(esk5_0))) = antidomain(esk5_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_156]),c_0_57]),c_0_157]) ).
cnf(c_0_169,negated_conjecture,
multiplication(antidomain(multiplication(coantidomain(antidomain(esk2_0)),esk3_0)),antidomain(antidomain(esk3_0))) = zero,
inference(spm,[status(thm)],[c_0_90,c_0_158]) ).
cnf(c_0_170,negated_conjecture,
multiplication(antidomain(esk2_0),antidomain(antidomain(esk3_0))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_159]),c_0_48]) ).
cnf(c_0_171,negated_conjecture,
multiplication(coantidomain(antidomain(esk2_0)),antidomain(esk2_0)) = zero,
inference(spm,[status(thm)],[c_0_37,c_0_160]) ).
cnf(c_0_172,negated_conjecture,
multiplication(coantidomain(coantidomain(antidomain(esk2_0))),antidomain(esk2_0)) = coantidomain(coantidomain(antidomain(esk2_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_121]),c_0_109]),c_0_57]) ).
cnf(c_0_173,negated_conjecture,
addition(antidomain(antidomain(esk4_0)),addition(X1,coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk1_0))))) = addition(antidomain(antidomain(esk4_0)),X1),
inference(pm,[status(thm)],[c_0_161,c_0_35]) ).
cnf(c_0_174,negated_conjecture,
addition(one,antidomain(antidomain(esk4_0))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_46]),c_0_35]) ).
cnf(c_0_175,plain,
multiplication(antidomain(addition(X1,X2)),X2) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_163]),c_0_48]) ).
cnf(c_0_176,negated_conjecture,
addition(antidomain(esk4_0),antidomain(multiplication(coantidomain(antidomain(esk5_0)),esk4_0))) = antidomain(esk4_0),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_177,negated_conjecture,
coantidomain(multiplication(antidomain(esk5_0),esk4_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_168]) ).
cnf(c_0_178,negated_conjecture,
multiplication(antidomain(multiplication(coantidomain(antidomain(esk2_0)),esk3_0)),antidomain(esk3_0)) = antidomain(multiplication(coantidomain(antidomain(esk2_0)),esk3_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_169]),c_0_48]) ).
cnf(c_0_179,negated_conjecture,
multiplication(antidomain(esk2_0),antidomain(esk3_0)) = antidomain(esk2_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_170]),c_0_48]) ).
cnf(c_0_180,negated_conjecture,
coantidomain(coantidomain(antidomain(esk2_0))) = antidomain(esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_171]),c_0_57]),c_0_172]) ).
cnf(c_0_181,negated_conjecture,
addition(antidomain(antidomain(esk4_0)),coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk1_0))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_51]),c_0_35]),c_0_174]) ).
cnf(c_0_182,negated_conjecture,
addition(multiplication(antidomain(antidomain(esk4_0)),X1),multiplication(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk1_0))),X1)) = multiplication(antidomain(antidomain(esk4_0)),X1),
inference(spm,[status(thm)],[c_0_44,c_0_151]) ).
cnf(c_0_183,negated_conjecture,
multiplication(antidomain(antidomain(esk4_0)),antidomain(multiplication(coantidomain(antidomain(esk5_0)),esk4_0))) = zero,
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_184,negated_conjecture,
multiplication(antidomain(esk5_0),esk4_0) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_177]),c_0_73]),c_0_36]) ).
cnf(c_0_185,negated_conjecture,
addition(antidomain(esk3_0),antidomain(multiplication(coantidomain(antidomain(esk2_0)),esk3_0))) = antidomain(esk3_0),
inference(spm,[status(thm)],[c_0_164,c_0_178]) ).
cnf(c_0_186,negated_conjecture,
coantidomain(multiplication(antidomain(esk2_0),esk3_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_179]),c_0_180]) ).
cnf(c_0_187,negated_conjecture,
addition(multiplication(antidomain(antidomain(esk4_0)),X1),multiplication(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk1_0)),X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_181]),c_0_42]) ).
cnf(c_0_188,plain,
antidomain(multiplication(antidomain(X1),antidomain(antidomain(X1)))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_37]),c_0_64]),c_0_65]) ).
cnf(c_0_189,negated_conjecture,
multiplication(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk1_0))),antidomain(esk4_0)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_37]),c_0_57]) ).
cnf(c_0_190,plain,
addition(multiplication(X1,antidomain(multiplication(X2,X3))),multiplication(X1,antidomain(multiplication(X2,antidomain(antidomain(X3)))))) = multiplication(X1,antidomain(multiplication(X2,antidomain(antidomain(X3))))),
inference(spm,[status(thm)],[c_0_95,c_0_62]) ).
cnf(c_0_191,negated_conjecture,
multiplication(antidomain(esk4_0),antidomain(multiplication(coantidomain(antidomain(esk5_0)),esk4_0))) = antidomain(multiplication(coantidomain(antidomain(esk5_0)),esk4_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_183]),c_0_48]) ).
cnf(c_0_192,negated_conjecture,
multiplication(coantidomain(antidomain(esk5_0)),esk4_0) = esk4_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_184]),c_0_147]),c_0_57]) ).
cnf(c_0_193,negated_conjecture,
multiplication(antidomain(antidomain(esk3_0)),antidomain(multiplication(coantidomain(antidomain(esk2_0)),esk3_0))) = zero,
inference(spm,[status(thm)],[c_0_175,c_0_185]) ).
cnf(c_0_194,negated_conjecture,
multiplication(antidomain(esk2_0),esk3_0) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_186]),c_0_73]),c_0_36]) ).
cnf(c_0_195,negated_conjecture,
addition(multiplication(antidomain(antidomain(esk4_0)),X1),multiplication(coantidomain(multiplication(coantidomain(antidomain(esk2_0)),esk1_0)),X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_187,c_0_160]),c_0_180]) ).
cnf(c_0_196,plain,
multiplication(antidomain(X1),antidomain(antidomain(X1))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_188]),c_0_42]) ).
cnf(c_0_197,negated_conjecture,
multiplication(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk1_0)),antidomain(esk4_0)) = antidomain(esk4_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_189]),c_0_48]) ).
cnf(c_0_198,plain,
addition(multiplication(X1,antidomain(X2)),multiplication(X1,antidomain(antidomain(antidomain(X2))))) = multiplication(X1,antidomain(antidomain(antidomain(X2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_42]),c_0_42]) ).
cnf(c_0_199,negated_conjecture,
multiplication(antidomain(esk4_0),antidomain(esk4_0)) = antidomain(esk4_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_191,c_0_192]),c_0_192]) ).
cnf(c_0_200,negated_conjecture,
multiplication(antidomain(esk3_0),antidomain(multiplication(coantidomain(antidomain(esk2_0)),esk3_0))) = antidomain(multiplication(coantidomain(antidomain(esk2_0)),esk3_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_193]),c_0_48]) ).
cnf(c_0_201,negated_conjecture,
multiplication(coantidomain(antidomain(esk2_0)),esk3_0) = esk3_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_194]),c_0_160]),c_0_57]) ).
cnf(c_0_202,plain,
multiplication(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))),antidomain(multiplication(X1,X2))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_37]),c_0_48]) ).
cnf(c_0_203,negated_conjecture,
multiplication(coantidomain(multiplication(coantidomain(antidomain(esk2_0)),esk1_0)),antidomain(antidomain(antidomain(esk4_0)))) = antidomain(antidomain(antidomain(esk4_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_57]) ).
cnf(c_0_204,negated_conjecture,
multiplication(coantidomain(multiplication(coantidomain(antidomain(esk2_0)),esk1_0)),antidomain(esk4_0)) = antidomain(esk4_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_197,c_0_160]),c_0_180]) ).
cnf(c_0_205,negated_conjecture,
multiplication(antidomain(esk4_0),antidomain(antidomain(antidomain(esk4_0)))) = antidomain(esk4_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_100]) ).
cnf(c_0_206,negated_conjecture,
multiplication(antidomain(multiplication(coantidomain(antidomain(esk5_0)),esk4_0)),coantidomain(antidomain(esk4_0))) = zero,
inference(spm,[status(thm)],[c_0_125,c_0_176]) ).
cnf(c_0_207,negated_conjecture,
multiplication(antidomain(esk3_0),antidomain(esk3_0)) = antidomain(esk3_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_200,c_0_201]),c_0_201]) ).
cnf(c_0_208,plain,
multiplication(antidomain(multiplication(X1,X2)),coantidomain(antidomain(multiplication(X1,antidomain(antidomain(X2)))))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_43]),c_0_48]) ).
cnf(c_0_209,negated_conjecture,
multiplication(antidomain(antidomain(antidomain(antidomain(antidomain(esk4_0))))),antidomain(antidomain(esk4_0))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_204]) ).
cnf(c_0_210,plain,
multiplication(coantidomain(coantidomain(antidomain(X1))),X1) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_104]),c_0_73]),c_0_36]) ).
cnf(c_0_211,negated_conjecture,
antidomain(antidomain(antidomain(esk4_0))) = antidomain(esk4_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_205]),c_0_196]),c_0_48]) ).
cnf(c_0_212,negated_conjecture,
multiplication(antidomain(antidomain(multiplication(coantidomain(antidomain(esk5_0)),esk4_0))),coantidomain(antidomain(esk4_0))) = coantidomain(antidomain(esk4_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_206]),c_0_57]) ).
fof(c_0_213,plain,
! [X2] : multiplication(zero,X2) = zero,
inference(variable_rename,[status(thm)],[left_annihilation]) ).
cnf(c_0_214,negated_conjecture,
multiplication(antidomain(esk3_0),antidomain(antidomain(antidomain(esk3_0)))) = antidomain(esk3_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_207]),c_0_100]) ).
cnf(c_0_215,negated_conjecture,
multiplication(antidomain(multiplication(coantidomain(antidomain(esk2_0)),esk3_0)),coantidomain(antidomain(esk3_0))) = zero,
inference(spm,[status(thm)],[c_0_125,c_0_185]) ).
cnf(c_0_216,negated_conjecture,
multiplication(antidomain(antidomain(esk4_0)),coantidomain(antidomain(antidomain(antidomain(antidomain(esk4_0)))))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_203]),c_0_204]) ).
cnf(c_0_217,negated_conjecture,
multiplication(antidomain(antidomain(antidomain(antidomain(esk4_0)))),antidomain(antidomain(esk4_0))) = antidomain(antidomain(esk4_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_209]),c_0_48]) ).
cnf(c_0_218,negated_conjecture,
multiplication(coantidomain(coantidomain(antidomain(esk4_0))),antidomain(antidomain(esk4_0))) = zero,
inference(spm,[status(thm)],[c_0_210,c_0_211]) ).
cnf(c_0_219,plain,
addition(X1,multiplication(X1,coantidomain(X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_68]),c_0_36]),c_0_36]) ).
cnf(c_0_220,negated_conjecture,
multiplication(antidomain(antidomain(esk4_0)),coantidomain(antidomain(esk4_0))) = coantidomain(antidomain(esk4_0)),
inference(rw,[status(thm)],[c_0_212,c_0_192]) ).
cnf(c_0_221,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_213]) ).
cnf(c_0_222,negated_conjecture,
antidomain(antidomain(antidomain(esk3_0))) = antidomain(esk3_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_214]),c_0_196]),c_0_48]) ).
cnf(c_0_223,negated_conjecture,
multiplication(antidomain(antidomain(multiplication(coantidomain(antidomain(esk2_0)),esk3_0))),coantidomain(antidomain(esk3_0))) = coantidomain(antidomain(esk3_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_215]),c_0_57]) ).
cnf(c_0_224,negated_conjecture,
multiplication(antidomain(esk4_0),coantidomain(antidomain(antidomain(antidomain(antidomain(esk4_0)))))) = coantidomain(antidomain(antidomain(antidomain(antidomain(esk4_0))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_216]),c_0_48]) ).
cnf(c_0_225,negated_conjecture,
antidomain(antidomain(antidomain(antidomain(esk4_0)))) = antidomain(antidomain(esk4_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_217]),c_0_37]),c_0_48]) ).
cnf(c_0_226,negated_conjecture,
multiplication(coantidomain(antidomain(esk4_0)),antidomain(antidomain(esk4_0))) = antidomain(antidomain(esk4_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_218]),c_0_48]) ).
cnf(c_0_227,negated_conjecture,
addition(coantidomain(antidomain(esk4_0)),antidomain(antidomain(esk4_0))) = antidomain(antidomain(esk4_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_35]) ).
cnf(c_0_228,plain,
multiplication(X1,multiplication(coantidomain(X1),X2)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_43]),c_0_221]) ).
cnf(c_0_229,negated_conjecture,
multiplication(coantidomain(multiplication(coantidomain(antidomain(esk2_0)),esk1_0)),coantidomain(antidomain(antidomain(esk4_0)))) = coantidomain(antidomain(antidomain(esk4_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_43]),c_0_57]) ).
cnf(c_0_230,negated_conjecture,
multiplication(coantidomain(coantidomain(antidomain(esk3_0))),antidomain(antidomain(esk3_0))) = zero,
inference(spm,[status(thm)],[c_0_210,c_0_222]) ).
cnf(c_0_231,negated_conjecture,
multiplication(antidomain(antidomain(esk3_0)),coantidomain(antidomain(esk3_0))) = coantidomain(antidomain(esk3_0)),
inference(rw,[status(thm)],[c_0_223,c_0_201]) ).
cnf(c_0_232,negated_conjecture,
multiplication(antidomain(esk4_0),coantidomain(antidomain(antidomain(esk4_0)))) = coantidomain(antidomain(antidomain(esk4_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_224,c_0_225]),c_0_225]) ).
cnf(c_0_233,negated_conjecture,
antidomain(antidomain(esk4_0)) = coantidomain(antidomain(esk4_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_226]),c_0_227]) ).
cnf(c_0_234,negated_conjecture,
addition(multiplication(coantidomain(antidomain(esk2_0)),X1),multiplication(antidomain(antidomain(esk3_0)),X1)) = multiplication(coantidomain(antidomain(esk2_0)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_160]),c_0_35]),c_0_160]) ).
cnf(c_0_235,negated_conjecture,
multiplication(coantidomain(antidomain(esk2_0)),multiplication(esk1_0,coantidomain(antidomain(antidomain(esk4_0))))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_73]) ).
cnf(c_0_236,negated_conjecture,
multiplication(coantidomain(antidomain(esk3_0)),antidomain(antidomain(esk3_0))) = antidomain(antidomain(esk3_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_230]),c_0_48]) ).
cnf(c_0_237,negated_conjecture,
addition(coantidomain(antidomain(esk3_0)),antidomain(antidomain(esk3_0))) = antidomain(antidomain(esk3_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_231]),c_0_35]) ).
cnf(c_0_238,negated_conjecture,
multiplication(antidomain(esk4_0),coantidomain(coantidomain(antidomain(esk4_0)))) = coantidomain(coantidomain(antidomain(esk4_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_232,c_0_233]),c_0_233]) ).
cnf(c_0_239,negated_conjecture,
multiplication(antidomain(esk4_0),antidomain(esk5_0)) = antidomain(esk5_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_63]),c_0_48]) ).
cnf(c_0_240,negated_conjecture,
multiplication(antidomain(antidomain(esk3_0)),multiplication(esk1_0,coantidomain(antidomain(antidomain(esk4_0))))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_57]) ).
cnf(c_0_241,negated_conjecture,
antidomain(antidomain(esk3_0)) = coantidomain(antidomain(esk3_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_236]),c_0_237]) ).
cnf(c_0_242,negated_conjecture,
coantidomain(coantidomain(antidomain(esk4_0))) = antidomain(esk4_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_238]),c_0_43]),c_0_57]) ).
cnf(c_0_243,negated_conjecture,
addition(backward_diamond(esk1_0,domain(esk3_0)),domain(esk5_0)) != domain(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_244,negated_conjecture,
addition(antidomain(esk5_0),multiplication(antidomain(esk4_0),antidomain(antidomain(esk5_0)))) = antidomain(esk4_0),
inference(spm,[status(thm)],[c_0_148,c_0_239]) ).
cnf(c_0_245,negated_conjecture,
multiplication(coantidomain(antidomain(esk3_0)),multiplication(esk1_0,antidomain(esk4_0))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_240,c_0_233]),c_0_241]),c_0_242]) ).
cnf(c_0_246,negated_conjecture,
addition(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk3_0)))),esk1_0))),antidomain(antidomain(esk5_0))) != antidomain(antidomain(esk5_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_243,c_0_33]),c_0_33]),c_0_33]),c_0_137]) ).
cnf(c_0_247,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_95,c_0_66]) ).
cnf(c_0_248,negated_conjecture,
addition(antidomain(esk4_0),antidomain(esk5_0)) = antidomain(esk4_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_244]),c_0_35]) ).
cnf(c_0_249,negated_conjecture,
coantidomain(multiplication(coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk3_0)),esk1_0))),antidomain(esk4_0))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_245]),c_0_67]),c_0_68]) ).
cnf(c_0_250,negated_conjecture,
addition(antidomain(antidomain(esk5_0)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk3_0)))),esk1_0)))) != antidomain(antidomain(esk5_0)),
inference(rw,[status(thm)],[c_0_246,c_0_35]) ).
cnf(c_0_251,plain,
addition(multiplication(X1,coantidomain(X2)),multiplication(X1,coantidomain(coantidomain(coantidomain(X2))))) = multiplication(X1,coantidomain(coantidomain(coantidomain(X2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_36]),c_0_36]) ).
cnf(c_0_252,negated_conjecture,
multiplication(coantidomain(antidomain(esk3_0)),coantidomain(antidomain(esk3_0))) = coantidomain(antidomain(esk3_0)),
inference(rw,[status(thm)],[c_0_231,c_0_241]) ).
cnf(c_0_253,negated_conjecture,
addition(multiplication(X1,antidomain(esk4_0)),multiplication(X1,antidomain(esk5_0))) = multiplication(X1,antidomain(esk4_0)),
inference(spm,[status(thm)],[c_0_95,c_0_248]) ).
cnf(c_0_254,negated_conjecture,
multiplication(coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk3_0)),esk1_0))),antidomain(esk4_0)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_249]),c_0_73]),c_0_36]) ).
cnf(c_0_255,negated_conjecture,
addition(coantidomain(antidomain(esk5_0)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk3_0)))),esk1_0)))) != coantidomain(antidomain(esk5_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_250,c_0_147]),c_0_147]) ).
cnf(c_0_256,negated_conjecture,
multiplication(coantidomain(antidomain(esk3_0)),coantidomain(coantidomain(coantidomain(antidomain(esk3_0))))) = coantidomain(antidomain(esk3_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_219]) ).
cnf(c_0_257,negated_conjecture,
multiplication(coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk3_0)),esk1_0))),antidomain(esk5_0)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_57]) ).
cnf(c_0_258,negated_conjecture,
addition(coantidomain(antidomain(esk5_0)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(coantidomain(antidomain(esk3_0)))),esk1_0)))) != coantidomain(antidomain(esk5_0)),
inference(rw,[status(thm)],[c_0_255,c_0_241]) ).
cnf(c_0_259,negated_conjecture,
coantidomain(coantidomain(coantidomain(antidomain(esk3_0)))) = coantidomain(antidomain(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_256]),c_0_43]),c_0_48]) ).
cnf(c_0_260,plain,
addition(X1,multiplication(coantidomain(X2),X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_68]),c_0_42]),c_0_42]) ).
cnf(c_0_261,negated_conjecture,
multiplication(coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk3_0)),esk1_0))),coantidomain(antidomain(esk5_0))) = coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk3_0)),esk1_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_257]),c_0_147]),c_0_57]) ).
cnf(c_0_262,negated_conjecture,
addition(coantidomain(antidomain(esk5_0)),coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk3_0)),esk1_0)))) != coantidomain(antidomain(esk5_0)),
inference(rw,[status(thm)],[c_0_258,c_0_259]) ).
cnf(c_0_263,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_262]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KLE124+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 16 14:03:38 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.39/23.42 eprover: CPU time limit exceeded, terminating
% 0.39/23.43 eprover: CPU time limit exceeded, terminating
% 0.39/23.43 eprover: CPU time limit exceeded, terminating
% 0.39/23.44 eprover: CPU time limit exceeded, terminating
% 0.54/46.44 eprover: CPU time limit exceeded, terminating
% 0.54/46.44 eprover: CPU time limit exceeded, terminating
% 0.54/46.45 eprover: CPU time limit exceeded, terminating
% 0.54/46.46 eprover: CPU time limit exceeded, terminating
% 0.61/58.79 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.61/58.79
% 0.61/58.79 # Failure: Resource limit exceeded (time)
% 0.61/58.79 # OLD status Res
% 0.61/58.79 # Preprocessing time : 0.015 s
% 0.61/58.79 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.61/58.79
% 0.61/58.79 # Failure: Resource limit exceeded (time)
% 0.61/58.79 # OLD status Res
% 0.61/58.79 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.61/58.79 # Preprocessing time : 0.017 s
% 0.61/58.79 # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 0.61/58.79 # Preprocessing time : 0.016 s
% 0.61/58.79
% 0.61/58.79 # Proof found!
% 0.61/58.79 # SZS status Theorem
% 0.61/58.79 # SZS output start CNFRefutation
% See solution above
% 0.61/58.79 # Proof object total steps : 264
% 0.61/58.79 # Proof object clause steps : 221
% 0.61/58.79 # Proof object formula steps : 43
% 0.61/58.79 # Proof object conjectures : 158
% 0.61/58.79 # Proof object clause conjectures : 155
% 0.61/58.79 # Proof object formula conjectures : 3
% 0.61/58.79 # Proof object initial clauses used : 24
% 0.61/58.79 # Proof object initial formulas used : 21
% 0.61/58.79 # Proof object generating inferences : 168
% 0.61/58.79 # Proof object simplifying inferences : 234
% 0.61/58.79 # Training examples: 0 positive, 0 negative
% 0.61/58.79 # Parsed axioms : 27
% 0.61/58.79 # Removed by relevancy pruning/SinE : 0
% 0.61/58.79 # Initial clauses : 31
% 0.61/58.79 # Removed in clause preprocessing : 8
% 0.61/58.79 # Initial clauses in saturation : 23
% 0.61/58.79 # Processed clauses : 6985
% 0.61/58.79 # ...of these trivial : 2617
% 0.61/58.79 # ...subsumed : 874
% 0.61/58.79 # ...remaining for further processing : 3494
% 0.61/58.79 # Other redundant clauses eliminated : 0
% 0.61/58.79 # Clauses deleted for lack of memory : 314831
% 0.61/58.79 # Backward-subsumed : 5
% 0.61/58.79 # Backward-rewritten : 1994
% 0.61/58.79 # Generated clauses : 770700
% 0.61/58.79 # ...of the previous two non-trivial : 576818
% 0.61/58.79 # Contextual simplify-reflections : 0
% 0.61/58.79 # Paramodulations : 770699
% 0.61/58.79 # Factorizations : 0
% 0.61/58.79 # Equation resolutions : 1
% 0.61/58.79 # Current number of processed clauses : 1495
% 0.61/58.79 # Positive orientable unit clauses : 1138
% 0.61/58.79 # Positive unorientable unit clauses: 28
% 0.61/58.79 # Negative unit clauses : 1
% 0.61/58.79 # Non-unit-clauses : 328
% 0.61/58.79 # Current number of unprocessed clauses: 73227
% 0.61/58.79 # ...number of literals in the above : 105637
% 0.61/58.79 # Current number of archived formulas : 0
% 0.61/58.79 # Current number of archived clauses : 2007
% 0.61/58.79 # Clause-clause subsumption calls (NU) : 21155
% 0.61/58.79 # Rec. Clause-clause subsumption calls : 21151
% 0.61/58.79 # Non-unit clause-clause subsumptions : 720
% 0.61/58.79 # Unit Clause-clause subsumption calls : 2758
% 0.61/58.79 # Rewrite failures with RHS unbound : 36
% 0.61/58.79 # BW rewrite match attempts : 25663
% 0.61/58.79 # BW rewrite match successes : 567
% 0.61/58.79 # Condensation attempts : 0
% 0.61/58.79 # Condensation successes : 0
% 0.61/58.79 # Termbank termtop insertions : 27267933
% 0.61/58.79
% 0.61/58.79 # -------------------------------------------------
% 0.61/58.79 # User time : 11.531 s
% 0.61/58.79 # System time : 0.140 s
% 0.61/58.79 # Total time : 11.671 s
% 0.61/58.79 # Maximum resident set size: 163868 pages
% 0.61/69.46 eprover: CPU time limit exceeded, terminating
% 0.61/69.46 eprover: CPU time limit exceeded, terminating
% 0.61/69.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/69.48 eprover: No such file or directory
% 0.61/69.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/69.48 eprover: No such file or directory
% 0.61/69.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/69.48 eprover: No such file or directory
% 0.61/69.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/69.49 eprover: No such file or directory
% 0.61/69.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/69.49 eprover: No such file or directory
% 0.61/69.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/69.49 eprover: No such file or directory
% 0.61/69.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/69.49 eprover: No such file or directory
% 0.61/69.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/69.49 eprover: No such file or directory
% 0.61/69.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/69.50 eprover: No such file or directory
% 0.61/69.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/69.50 eprover: No such file or directory
% 0.61/69.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/69.50 eprover: No such file or directory
% 0.61/69.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/69.50 eprover: No such file or directory
% 0.61/69.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/69.51 eprover: No such file or directory
% 0.61/69.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/69.51 eprover: No such file or directory
% 0.61/69.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/69.51 eprover: No such file or directory
% 0.61/69.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/69.51 eprover: No such file or directory
% 0.61/69.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/69.52 eprover: No such file or directory
% 0.61/69.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/69.52 eprover: No such file or directory
% 0.61/73.11 eprover: CPU time limit exceeded, terminating
% 0.61/73.12 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/73.12 eprover: No such file or directory
% 0.61/73.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/73.13 eprover: No such file or directory
% 0.61/73.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/73.13 eprover: No such file or directory
% 0.61/73.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/73.14 eprover: No such file or directory
% 0.61/73.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/73.15 eprover: No such file or directory
% 0.61/73.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/73.15 eprover: No such file or directory
% 0.61/73.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/73.16 eprover: No such file or directory
% 0.61/73.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/73.16 eprover: No such file or directory
%------------------------------------------------------------------------------