TSTP Solution File: KLE121+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : KLE121+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.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 0.60s 55.77s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 20
% Syntax : Number of formulae : 176 ( 173 unt; 0 def)
% Number of atoms : 182 ( 181 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 0 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 164 ( 11 sgn 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
! [X4,X5,X6,X7,X8] :
( ( addition(backward_diamond(X7,domain(X4)),domain(X5)) = domain(X5)
& addition(backward_diamond(X8,domain(X5)),domain(X6)) = domain(X6) )
=> addition(backward_diamond(multiplication(X7,X8),domain(X4)),domain(X6)) = domain(X6) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',goals) ).
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(domain4,axiom,
! [X4] : domain(X4) = antidomain(antidomain(X4)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain4) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
fof(codomain3,axiom,
! [X4] : addition(coantidomain(coantidomain(X4)),coantidomain(X4)) = one,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',codomain3) ).
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(additive_identity,axiom,
! [X1] : addition(X1,zero) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
fof(domain1,axiom,
! [X4] : multiplication(antidomain(X4),X4) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain1) ).
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(codomain1,axiom,
! [X4] : multiplication(X4,coantidomain(X4)) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',codomain1) ).
fof(left_annihilation,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
fof(domain3,axiom,
! [X4] : addition(antidomain(antidomain(X4)),antidomain(X4)) = one,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain3) ).
fof(multiplicative_right_identity,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
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(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(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(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(c_0_20,negated_conjecture,
~ ! [X4,X5,X6,X7,X8] :
( ( addition(backward_diamond(X7,domain(X4)),domain(X5)) = domain(X5)
& addition(backward_diamond(X8,domain(X5)),domain(X6)) = domain(X6) )
=> addition(backward_diamond(multiplication(X7,X8),domain(X4)),domain(X6)) = domain(X6) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_21,plain,
! [X6,X7] : backward_diamond(X6,X7) = codomain(multiplication(codomain(X7),X6)),
inference(variable_rename,[status(thm)],[backward_diamond]) ).
fof(c_0_22,plain,
! [X5] : codomain(X5) = coantidomain(coantidomain(X5)),
inference(variable_rename,[status(thm)],[codomain4]) ).
fof(c_0_23,negated_conjecture,
( addition(backward_diamond(esk4_0,domain(esk1_0)),domain(esk2_0)) = domain(esk2_0)
& addition(backward_diamond(esk5_0,domain(esk2_0)),domain(esk3_0)) = domain(esk3_0)
& addition(backward_diamond(multiplication(esk4_0,esk5_0),domain(esk1_0)),domain(esk3_0)) != domain(esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
fof(c_0_24,plain,
! [X5] : domain(X5) = antidomain(antidomain(X5)),
inference(variable_rename,[status(thm)],[domain4]) ).
cnf(c_0_25,plain,
backward_diamond(X1,X2) = codomain(multiplication(codomain(X2),X1)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
codomain(X1) = coantidomain(coantidomain(X1)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,negated_conjecture,
addition(backward_diamond(esk4_0,domain(esk1_0)),domain(esk2_0)) = domain(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,plain,
domain(X1) = antidomain(antidomain(X1)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,plain,
backward_diamond(X1,X2) = coantidomain(coantidomain(multiplication(coantidomain(coantidomain(X2)),X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26]),c_0_26]) ).
fof(c_0_30,plain,
! [X3,X4] : addition(X3,X4) = addition(X4,X3),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
fof(c_0_31,plain,
! [X5] : addition(coantidomain(coantidomain(X5)),coantidomain(X5)) = one,
inference(variable_rename,[status(thm)],[codomain3]) ).
fof(c_0_32,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_33,negated_conjecture,
addition(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk1_0)))),esk4_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)],[c_0_27,c_0_28]),c_0_28]),c_0_28]),c_0_29]) ).
cnf(c_0_34,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_35,plain,
! [X2] : addition(X2,zero) = X2,
inference(variable_rename,[status(thm)],[additive_identity]) ).
cnf(c_0_36,plain,
addition(coantidomain(coantidomain(X1)),coantidomain(X1)) = one,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_37,plain,
! [X2] : multiplication(one,X2) = X2,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
cnf(c_0_38,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_39,negated_conjecture,
addition(antidomain(antidomain(esk2_0)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk1_0)))),esk4_0)))) = antidomain(antidomain(esk2_0)),
inference(rw,[status(thm)],[c_0_33,c_0_34]) ).
fof(c_0_40,plain,
! [X5] : multiplication(antidomain(X5),X5) = zero,
inference(variable_rename,[status(thm)],[domain1]) ).
cnf(c_0_41,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_42,plain,
! [X4,X5,X6] : multiplication(X4,multiplication(X5,X6)) = multiplication(multiplication(X4,X5),X6),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
fof(c_0_43,plain,
! [X5] : multiplication(X5,coantidomain(X5)) = zero,
inference(variable_rename,[status(thm)],[codomain1]) ).
fof(c_0_44,plain,
! [X2] : multiplication(zero,X2) = zero,
inference(variable_rename,[status(thm)],[left_annihilation]) ).
cnf(c_0_45,plain,
addition(coantidomain(X1),coantidomain(coantidomain(X1))) = one,
inference(rw,[status(thm)],[c_0_36,c_0_34]) ).
cnf(c_0_46,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_47,negated_conjecture,
addition(multiplication(antidomain(antidomain(esk2_0)),X1),multiplication(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk1_0)))),esk4_0))),X1)) = multiplication(antidomain(antidomain(esk2_0)),X1),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_48,plain,
multiplication(antidomain(X1),X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_49,plain,
addition(zero,X1) = X1,
inference(pm,[status(thm)],[c_0_41,c_0_34]) ).
cnf(c_0_50,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_51,plain,
multiplication(X1,coantidomain(X1)) = zero,
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_52,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_53,plain,
addition(multiplication(coantidomain(X1),X2),multiplication(coantidomain(coantidomain(X1)),X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_45]),c_0_46]) ).
cnf(c_0_54,negated_conjecture,
multiplication(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk1_0)))),esk4_0))),antidomain(esk2_0)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_55,plain,
multiplication(X1,multiplication(coantidomain(X1),X2)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).
cnf(c_0_56,negated_conjecture,
multiplication(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk1_0)))),esk4_0)),antidomain(esk2_0)) = antidomain(esk2_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_41]) ).
fof(c_0_57,plain,
! [X5] : addition(antidomain(antidomain(X5)),antidomain(X5)) = one,
inference(variable_rename,[status(thm)],[domain3]) ).
fof(c_0_58,plain,
! [X2] : multiplication(X2,one) = X2,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
fof(c_0_59,plain,
! [X4,X5,X6] : addition(X6,addition(X5,X4)) = addition(addition(X6,X5),X4),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
fof(c_0_60,plain,
! [X2] : addition(X2,X2) = X2,
inference(variable_rename,[status(thm)],[additive_idempotence]) ).
cnf(c_0_61,negated_conjecture,
multiplication(coantidomain(coantidomain(antidomain(antidomain(esk1_0)))),multiplication(esk4_0,antidomain(esk2_0))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_50]) ).
cnf(c_0_62,plain,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_63,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_64,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_65,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_60]) ).
fof(c_0_66,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_67,negated_conjecture,
multiplication(coantidomain(antidomain(antidomain(esk1_0))),multiplication(esk4_0,antidomain(esk2_0))) = multiplication(esk4_0,antidomain(esk2_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_61]),c_0_41]) ).
cnf(c_0_68,plain,
addition(antidomain(X1),antidomain(antidomain(X1))) = one,
inference(rw,[status(thm)],[c_0_62,c_0_34]) ).
cnf(c_0_69,plain,
antidomain(one) = zero,
inference(spm,[status(thm)],[c_0_63,c_0_48]) ).
cnf(c_0_70,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_71,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_66]) ).
cnf(c_0_72,negated_conjecture,
multiplication(antidomain(antidomain(esk1_0)),multiplication(esk4_0,antidomain(esk2_0))) = zero,
inference(spm,[status(thm)],[c_0_55,c_0_67]) ).
cnf(c_0_73,plain,
antidomain(zero) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_49]) ).
cnf(c_0_74,plain,
addition(one,antidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_68]),c_0_34]) ).
cnf(c_0_75,negated_conjecture,
antidomain(multiplication(antidomain(antidomain(esk1_0)),antidomain(antidomain(multiplication(esk4_0,antidomain(esk2_0)))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]),c_0_74]) ).
fof(c_0_76,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_77,plain,
addition(multiplication(antidomain(X1),X2),multiplication(antidomain(antidomain(X1)),X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_68]),c_0_46]) ).
cnf(c_0_78,negated_conjecture,
multiplication(antidomain(antidomain(esk1_0)),antidomain(antidomain(multiplication(esk4_0,antidomain(esk2_0))))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_75]),c_0_46]) ).
cnf(c_0_79,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_80,negated_conjecture,
addition(backward_diamond(esk5_0,domain(esk2_0)),domain(esk3_0)) = domain(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_81,plain,
multiplication(antidomain(X1),multiplication(X1,X2)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_48]),c_0_52]) ).
cnf(c_0_82,negated_conjecture,
multiplication(antidomain(antidomain(antidomain(esk1_0))),antidomain(antidomain(multiplication(esk4_0,antidomain(esk2_0))))) = antidomain(antidomain(multiplication(esk4_0,antidomain(esk2_0)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_49]) ).
cnf(c_0_83,plain,
addition(multiplication(X1,antidomain(X2)),multiplication(X1,antidomain(antidomain(X2)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_68]),c_0_63]) ).
cnf(c_0_84,negated_conjecture,
addition(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk5_0))),antidomain(antidomain(esk3_0))) = antidomain(antidomain(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_28]),c_0_28]),c_0_28]),c_0_29]) ).
cnf(c_0_85,negated_conjecture,
multiplication(antidomain(antidomain(antidomain(antidomain(esk1_0)))),antidomain(antidomain(multiplication(esk4_0,antidomain(esk2_0))))) = zero,
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_86,negated_conjecture,
multiplication(antidomain(antidomain(esk1_0)),antidomain(multiplication(esk4_0,antidomain(esk2_0)))) = antidomain(antidomain(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_78]),c_0_41]) ).
cnf(c_0_87,negated_conjecture,
addition(antidomain(antidomain(esk3_0)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk5_0)))) = antidomain(antidomain(esk3_0)),
inference(rw,[status(thm)],[c_0_84,c_0_34]) ).
cnf(c_0_88,plain,
addition(multiplication(antidomain(addition(X1,X2)),X1),multiplication(antidomain(addition(X1,X2)),X2)) = zero,
inference(spm,[status(thm)],[c_0_48,c_0_79]) ).
cnf(c_0_89,plain,
addition(X1,multiplication(antidomain(X2),X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_74]),c_0_46]),c_0_46]) ).
cnf(c_0_90,negated_conjecture,
multiplication(antidomain(antidomain(antidomain(antidomain(esk1_0)))),antidomain(multiplication(esk4_0,antidomain(esk2_0)))) = antidomain(antidomain(antidomain(antidomain(esk1_0)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_85]),c_0_41]) ).
cnf(c_0_91,negated_conjecture,
addition(antidomain(antidomain(esk1_0)),multiplication(antidomain(esk1_0),antidomain(multiplication(esk4_0,antidomain(esk2_0))))) = antidomain(multiplication(esk4_0,antidomain(esk2_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_86]),c_0_34]) ).
cnf(c_0_92,negated_conjecture,
addition(multiplication(antidomain(antidomain(esk3_0)),X1),multiplication(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk5_0))),X1)) = multiplication(antidomain(antidomain(esk3_0)),X1),
inference(spm,[status(thm)],[c_0_38,c_0_87]) ).
cnf(c_0_93,plain,
multiplication(antidomain(addition(X1,X2)),X1) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_88]),c_0_41]) ).
cnf(c_0_94,negated_conjecture,
addition(antidomain(antidomain(antidomain(antidomain(esk1_0)))),antidomain(multiplication(esk4_0,antidomain(esk2_0)))) = antidomain(multiplication(esk4_0,antidomain(esk2_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_34]) ).
cnf(c_0_95,negated_conjecture,
addition(antidomain(antidomain(esk1_0)),antidomain(multiplication(esk4_0,antidomain(esk2_0)))) = antidomain(multiplication(esk4_0,antidomain(esk2_0))),
inference(spm,[status(thm)],[c_0_70,c_0_91]) ).
cnf(c_0_96,negated_conjecture,
multiplication(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk5_0))),antidomain(esk3_0)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_48]),c_0_49]) ).
cnf(c_0_97,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_38,c_0_71]) ).
cnf(c_0_98,negated_conjecture,
multiplication(antidomain(antidomain(multiplication(esk4_0,antidomain(esk2_0)))),antidomain(antidomain(antidomain(antidomain(esk1_0))))) = zero,
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_99,negated_conjecture,
multiplication(antidomain(antidomain(multiplication(esk4_0,antidomain(esk2_0)))),antidomain(antidomain(esk1_0))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_95]),c_0_48]),c_0_41]) ).
cnf(c_0_100,negated_conjecture,
multiplication(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk5_0)),antidomain(esk3_0)) = antidomain(esk3_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_96]),c_0_41]) ).
cnf(c_0_101,plain,
multiplication(antidomain(multiplication(X1,X2)),multiplication(X1,antidomain(antidomain(X2)))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_48]),c_0_41]) ).
cnf(c_0_102,negated_conjecture,
multiplication(antidomain(multiplication(esk4_0,antidomain(esk2_0))),antidomain(antidomain(antidomain(antidomain(esk1_0))))) = antidomain(antidomain(antidomain(antidomain(esk1_0)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_98]),c_0_41]) ).
cnf(c_0_103,negated_conjecture,
multiplication(antidomain(multiplication(esk4_0,antidomain(esk2_0))),antidomain(antidomain(esk1_0))) = antidomain(antidomain(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_99]),c_0_41]) ).
cnf(c_0_104,negated_conjecture,
multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),multiplication(esk5_0,antidomain(esk3_0))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_100]),c_0_50]) ).
cnf(c_0_105,negated_conjecture,
multiplication(antidomain(antidomain(antidomain(esk1_0))),antidomain(antidomain(antidomain(antidomain(esk1_0))))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]) ).
cnf(c_0_106,negated_conjecture,
multiplication(coantidomain(antidomain(antidomain(esk2_0))),multiplication(esk5_0,antidomain(esk3_0))) = multiplication(esk5_0,antidomain(esk3_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_104]),c_0_41]) ).
cnf(c_0_107,plain,
addition(X1,multiplication(X1,antidomain(X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_74]),c_0_63]),c_0_63]) ).
cnf(c_0_108,negated_conjecture,
multiplication(antidomain(antidomain(esk1_0)),antidomain(antidomain(antidomain(antidomain(esk1_0))))) = antidomain(antidomain(antidomain(antidomain(esk1_0)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_105]),c_0_41]) ).
cnf(c_0_109,plain,
addition(antidomain(X1),antidomain(antidomain(antidomain(X1)))) = antidomain(antidomain(antidomain(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_46]),c_0_46]) ).
fof(c_0_110,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_111,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_71,c_0_50]),c_0_50]) ).
cnf(c_0_112,negated_conjecture,
multiplication(antidomain(antidomain(esk2_0)),multiplication(esk5_0,antidomain(esk3_0))) = zero,
inference(spm,[status(thm)],[c_0_55,c_0_106]) ).
cnf(c_0_113,negated_conjecture,
antidomain(antidomain(antidomain(antidomain(esk1_0)))) = antidomain(antidomain(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109]) ).
cnf(c_0_114,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_110]) ).
cnf(c_0_115,negated_conjecture,
antidomain(multiplication(antidomain(antidomain(esk2_0)),multiplication(esk5_0,antidomain(antidomain(antidomain(esk3_0)))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_73]),c_0_74]) ).
cnf(c_0_116,plain,
coantidomain(one) = zero,
inference(spm,[status(thm)],[c_0_46,c_0_51]) ).
cnf(c_0_117,negated_conjecture,
multiplication(antidomain(antidomain(esk1_0)),antidomain(antidomain(antidomain(esk1_0)))) = zero,
inference(spm,[status(thm)],[c_0_48,c_0_113]) ).
cnf(c_0_118,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_114,c_0_50]) ).
cnf(c_0_119,negated_conjecture,
multiplication(antidomain(antidomain(esk2_0)),multiplication(esk5_0,antidomain(antidomain(antidomain(esk3_0))))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_115]),c_0_46]) ).
cnf(c_0_120,plain,
coantidomain(zero) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_116]),c_0_49]) ).
cnf(c_0_121,plain,
addition(one,coantidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_45]),c_0_34]) ).
cnf(c_0_122,negated_conjecture,
multiplication(antidomain(esk1_0),antidomain(antidomain(antidomain(esk1_0)))) = antidomain(antidomain(antidomain(esk1_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_117]),c_0_41]) ).
cnf(c_0_123,negated_conjecture,
coantidomain(multiplication(coantidomain(coantidomain(multiplication(antidomain(antidomain(esk2_0)),esk5_0))),antidomain(antidomain(antidomain(esk3_0))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]),c_0_121]) ).
cnf(c_0_124,negated_conjecture,
coantidomain(multiplication(coantidomain(coantidomain(multiplication(antidomain(antidomain(esk2_0)),esk5_0))),antidomain(esk3_0))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_112]),c_0_120]),c_0_121]) ).
cnf(c_0_125,plain,
coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),X1)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_48]),c_0_120]),c_0_121]) ).
cnf(c_0_126,negated_conjecture,
antidomain(antidomain(antidomain(esk1_0))) = antidomain(esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_122]),c_0_109]) ).
cnf(c_0_127,negated_conjecture,
multiplication(coantidomain(coantidomain(multiplication(antidomain(antidomain(esk2_0)),esk5_0))),antidomain(antidomain(antidomain(esk3_0)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_123]),c_0_50]),c_0_63]) ).
cnf(c_0_128,negated_conjecture,
multiplication(coantidomain(coantidomain(multiplication(antidomain(antidomain(esk2_0)),esk5_0))),antidomain(esk3_0)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_124]),c_0_50]),c_0_63]) ).
cnf(c_0_129,negated_conjecture,
coantidomain(multiplication(coantidomain(coantidomain(antidomain(esk1_0))),antidomain(antidomain(esk1_0)))) = one,
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_130,negated_conjecture,
multiplication(coantidomain(coantidomain(coantidomain(multiplication(antidomain(antidomain(esk2_0)),esk5_0)))),antidomain(antidomain(antidomain(esk3_0)))) = antidomain(antidomain(antidomain(esk3_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_127]),c_0_49]) ).
cnf(c_0_131,negated_conjecture,
multiplication(coantidomain(coantidomain(coantidomain(multiplication(antidomain(antidomain(esk2_0)),esk5_0)))),antidomain(esk3_0)) = antidomain(esk3_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_128]),c_0_49]) ).
cnf(c_0_132,plain,
addition(multiplication(X1,coantidomain(addition(X1,X2))),multiplication(X2,coantidomain(addition(X1,X2)))) = zero,
inference(spm,[status(thm)],[c_0_51,c_0_38]) ).
cnf(c_0_133,negated_conjecture,
multiplication(coantidomain(coantidomain(antidomain(esk1_0))),antidomain(antidomain(esk1_0))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_129]),c_0_50]),c_0_63]) ).
cnf(c_0_134,negated_conjecture,
multiplication(antidomain(antidomain(esk3_0)),antidomain(antidomain(antidomain(esk3_0)))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_130]),c_0_131]) ).
cnf(c_0_135,plain,
addition(multiplication(X1,coantidomain(addition(X2,X1))),multiplication(X2,coantidomain(addition(X2,X1)))) = zero,
inference(spm,[status(thm)],[c_0_34,c_0_132]) ).
cnf(c_0_136,plain,
multiplication(X1,coantidomain(addition(X1,X2))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_132]),c_0_41]) ).
cnf(c_0_137,negated_conjecture,
multiplication(coantidomain(antidomain(esk1_0)),antidomain(antidomain(esk1_0))) = antidomain(antidomain(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_133]),c_0_41]) ).
cnf(c_0_138,negated_conjecture,
multiplication(antidomain(esk3_0),antidomain(antidomain(antidomain(esk3_0)))) = antidomain(antidomain(antidomain(esk3_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_134]),c_0_41]) ).
cnf(c_0_139,negated_conjecture,
addition(antidomain(antidomain(esk2_0)),addition(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk1_0)))),esk4_0))),X1)) = addition(antidomain(antidomain(esk2_0)),X1),
inference(spm,[status(thm)],[c_0_64,c_0_39]) ).
cnf(c_0_140,plain,
multiplication(X1,coantidomain(addition(X2,X1))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_136]),c_0_41]) ).
cnf(c_0_141,negated_conjecture,
addition(coantidomain(antidomain(esk1_0)),antidomain(antidomain(esk1_0))) = coantidomain(antidomain(esk1_0)),
inference(spm,[status(thm)],[c_0_107,c_0_137]) ).
cnf(c_0_142,negated_conjecture,
antidomain(antidomain(antidomain(esk3_0))) = antidomain(esk3_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_138]),c_0_109]) ).
cnf(c_0_143,negated_conjecture,
addition(antidomain(antidomain(esk2_0)),addition(X1,coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk1_0)))),esk4_0))))) = addition(antidomain(antidomain(esk2_0)),X1),
inference(pm,[status(thm)],[c_0_139,c_0_34]) ).
cnf(c_0_144,plain,
addition(multiplication(X1,coantidomain(X2)),multiplication(X1,coantidomain(coantidomain(X2)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_45]),c_0_63]) ).
cnf(c_0_145,negated_conjecture,
multiplication(antidomain(antidomain(esk1_0)),coantidomain(coantidomain(antidomain(esk1_0)))) = zero,
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_146,negated_conjecture,
coantidomain(multiplication(coantidomain(coantidomain(antidomain(esk3_0))),antidomain(antidomain(esk3_0)))) = one,
inference(spm,[status(thm)],[c_0_125,c_0_142]) ).
cnf(c_0_147,negated_conjecture,
addition(antidomain(antidomain(esk2_0)),coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk1_0)))),esk4_0))) = addition(one,antidomain(antidomain(esk2_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_45]),c_0_34]) ).
cnf(c_0_148,negated_conjecture,
multiplication(antidomain(antidomain(esk1_0)),coantidomain(antidomain(esk1_0))) = antidomain(antidomain(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_41]) ).
cnf(c_0_149,negated_conjecture,
multiplication(coantidomain(coantidomain(antidomain(esk3_0))),antidomain(antidomain(esk3_0))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_146]),c_0_50]),c_0_63]) ).
cnf(c_0_150,negated_conjecture,
addition(antidomain(antidomain(esk2_0)),coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk1_0)))),esk4_0))) = one,
inference(rw,[status(thm)],[c_0_147,c_0_74]) ).
cnf(c_0_151,negated_conjecture,
antidomain(antidomain(esk1_0)) = coantidomain(antidomain(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_148]),c_0_126]),c_0_51]),c_0_41]) ).
cnf(c_0_152,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_53,c_0_149]),c_0_41]) ).
cnf(c_0_153,negated_conjecture,
addition(multiplication(antidomain(antidomain(esk2_0)),X1),multiplication(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk1_0)))),esk4_0)),X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_150]),c_0_46]) ).
cnf(c_0_154,negated_conjecture,
multiplication(coantidomain(antidomain(esk1_0)),antidomain(esk1_0)) = zero,
inference(spm,[status(thm)],[c_0_48,c_0_151]) ).
cnf(c_0_155,negated_conjecture,
multiplication(coantidomain(coantidomain(antidomain(esk1_0))),antidomain(esk1_0)) = coantidomain(coantidomain(antidomain(esk1_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_133]),c_0_126]),c_0_49]) ).
cnf(c_0_156,negated_conjecture,
addition(coantidomain(antidomain(esk3_0)),antidomain(antidomain(esk3_0))) = coantidomain(antidomain(esk3_0)),
inference(spm,[status(thm)],[c_0_107,c_0_152]) ).
cnf(c_0_157,negated_conjecture,
multiplication(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk1_0)))),esk4_0)),multiplication(esk5_0,antidomain(esk3_0))) = multiplication(esk5_0,antidomain(esk3_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_112]),c_0_49]) ).
cnf(c_0_158,negated_conjecture,
coantidomain(coantidomain(antidomain(esk1_0))) = antidomain(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_154]),c_0_49]),c_0_155]) ).
cnf(c_0_159,negated_conjecture,
addition(backward_diamond(multiplication(esk4_0,esk5_0),domain(esk1_0)),domain(esk3_0)) != domain(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_160,negated_conjecture,
multiplication(antidomain(antidomain(esk3_0)),coantidomain(coantidomain(antidomain(esk3_0)))) = zero,
inference(spm,[status(thm)],[c_0_140,c_0_156]) ).
cnf(c_0_161,negated_conjecture,
multiplication(coantidomain(multiplication(coantidomain(antidomain(esk1_0)),esk4_0)),multiplication(esk5_0,antidomain(esk3_0))) = multiplication(esk5_0,antidomain(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_157,c_0_151]),c_0_158]) ).
cnf(c_0_162,negated_conjecture,
addition(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk1_0)))),multiplication(esk4_0,esk5_0)))),antidomain(antidomain(esk3_0))) != antidomain(antidomain(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_28]),c_0_28]),c_0_28]),c_0_29]) ).
cnf(c_0_163,negated_conjecture,
multiplication(antidomain(antidomain(esk3_0)),coantidomain(antidomain(esk3_0))) = antidomain(antidomain(esk3_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_160]),c_0_41]) ).
cnf(c_0_164,plain,
addition(coantidomain(multiplication(X1,multiplication(X2,multiplication(X3,X4)))),coantidomain(multiplication(coantidomain(coantidomain(multiplication(X1,multiplication(X2,X3)))),X4))) = coantidomain(multiplication(coantidomain(coantidomain(multiplication(X1,multiplication(X2,X3)))),X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_50]),c_0_50]) ).
cnf(c_0_165,negated_conjecture,
multiplication(coantidomain(antidomain(esk1_0)),multiplication(esk4_0,multiplication(esk5_0,antidomain(esk3_0)))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_161]),c_0_50]) ).
cnf(c_0_166,negated_conjecture,
addition(antidomain(antidomain(esk3_0)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk1_0)))),multiplication(esk4_0,esk5_0))))) != antidomain(antidomain(esk3_0)),
inference(rw,[status(thm)],[c_0_162,c_0_34]) ).
cnf(c_0_167,negated_conjecture,
antidomain(antidomain(esk3_0)) = coantidomain(antidomain(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_163]),c_0_142]),c_0_51]),c_0_41]) ).
cnf(c_0_168,negated_conjecture,
coantidomain(multiplication(coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk1_0)),multiplication(esk4_0,esk5_0)))),antidomain(esk3_0))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_120]),c_0_121]) ).
cnf(c_0_169,negated_conjecture,
addition(coantidomain(antidomain(esk3_0)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk1_0)))),multiplication(esk4_0,esk5_0))))) != coantidomain(antidomain(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_167]),c_0_167]) ).
cnf(c_0_170,negated_conjecture,
multiplication(coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk1_0)),multiplication(esk4_0,esk5_0)))),antidomain(esk3_0)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_168]),c_0_50]),c_0_63]) ).
cnf(c_0_171,negated_conjecture,
addition(coantidomain(antidomain(esk3_0)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(coantidomain(antidomain(esk1_0)))),multiplication(esk4_0,esk5_0))))) != coantidomain(antidomain(esk3_0)),
inference(rw,[status(thm)],[c_0_169,c_0_151]) ).
cnf(c_0_172,plain,
addition(X1,multiplication(coantidomain(X2),X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_121]),c_0_46]),c_0_46]) ).
cnf(c_0_173,negated_conjecture,
multiplication(coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk1_0)),multiplication(esk4_0,esk5_0)))),coantidomain(antidomain(esk3_0))) = coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk1_0)),multiplication(esk4_0,esk5_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_170]),c_0_167]),c_0_49]) ).
cnf(c_0_174,negated_conjecture,
addition(coantidomain(antidomain(esk3_0)),coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk1_0)),multiplication(esk4_0,esk5_0))))) != coantidomain(antidomain(esk3_0)),
inference(rw,[status(thm)],[c_0_171,c_0_158]) ).
cnf(c_0_175,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KLE121+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 16 08:28:49 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.37/23.41 eprover: CPU time limit exceeded, terminating
% 0.37/23.41 eprover: CPU time limit exceeded, terminating
% 0.37/23.42 eprover: CPU time limit exceeded, terminating
% 0.37/23.43 eprover: CPU time limit exceeded, terminating
% 0.53/46.42 eprover: CPU time limit exceeded, terminating
% 0.53/46.42 eprover: CPU time limit exceeded, terminating
% 0.53/46.43 eprover: CPU time limit exceeded, terminating
% 0.53/46.44 eprover: CPU time limit exceeded, terminating
% 0.60/55.77 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.60/55.77
% 0.60/55.77 # Failure: Resource limit exceeded (time)
% 0.60/55.77 # OLD status Res
% 0.60/55.77 # Preprocessing time : 0.017 s
% 0.60/55.77 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.60/55.77
% 0.60/55.77 # Failure: Resource limit exceeded (time)
% 0.60/55.77 # OLD status Res
% 0.60/55.77 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.60/55.77 # Preprocessing time : 0.016 s
% 0.60/55.77 # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 0.60/55.77 # Preprocessing time : 0.008 s
% 0.60/55.77
% 0.60/55.77 # Proof found!
% 0.60/55.77 # SZS status Theorem
% 0.60/55.77 # SZS output start CNFRefutation
% See solution above
% 0.60/55.78 # Proof object total steps : 176
% 0.60/55.78 # Proof object clause steps : 135
% 0.60/55.78 # Proof object formula steps : 41
% 0.60/55.78 # Proof object conjectures : 86
% 0.60/55.78 # Proof object clause conjectures : 83
% 0.60/55.78 # Proof object formula conjectures : 3
% 0.60/55.78 # Proof object initial clauses used : 22
% 0.60/55.78 # Proof object initial formulas used : 20
% 0.60/55.78 # Proof object generating inferences : 98
% 0.60/55.78 # Proof object simplifying inferences : 122
% 0.60/55.78 # Training examples: 0 positive, 0 negative
% 0.60/55.78 # Parsed axioms : 27
% 0.60/55.78 # Removed by relevancy pruning/SinE : 0
% 0.60/55.78 # Initial clauses : 30
% 0.60/55.78 # Removed in clause preprocessing : 8
% 0.60/55.78 # Initial clauses in saturation : 22
% 0.60/55.78 # Processed clauses : 5777
% 0.60/55.78 # ...of these trivial : 2075
% 0.60/55.78 # ...subsumed : 720
% 0.60/55.78 # ...remaining for further processing : 2982
% 0.60/55.78 # Other redundant clauses eliminated : 0
% 0.60/55.78 # Clauses deleted for lack of memory : 263911
% 0.60/55.78 # Backward-subsumed : 4
% 0.60/55.78 # Backward-rewritten : 1488
% 0.60/55.78 # Generated clauses : 667003
% 0.60/55.78 # ...of the previous two non-trivial : 494107
% 0.60/55.78 # Contextual simplify-reflections : 0
% 0.60/55.78 # Paramodulations : 667002
% 0.60/55.78 # Factorizations : 0
% 0.60/55.78 # Equation resolutions : 1
% 0.60/55.78 # Current number of processed clauses : 1490
% 0.60/55.78 # Positive orientable unit clauses : 1230
% 0.60/55.78 # Positive unorientable unit clauses: 26
% 0.60/55.78 # Negative unit clauses : 1
% 0.60/55.78 # Non-unit-clauses : 233
% 0.60/55.78 # Current number of unprocessed clauses: 101443
% 0.60/55.78 # ...number of literals in the above : 136526
% 0.60/55.78 # Current number of archived formulas : 0
% 0.60/55.78 # Current number of archived clauses : 1500
% 0.60/55.78 # Clause-clause subsumption calls (NU) : 11624
% 0.60/55.78 # Rec. Clause-clause subsumption calls : 11620
% 0.60/55.78 # Non-unit clause-clause subsumptions : 567
% 0.60/55.78 # Unit Clause-clause subsumption calls : 1571
% 0.60/55.78 # Rewrite failures with RHS unbound : 32
% 0.60/55.78 # BW rewrite match attempts : 20109
% 0.60/55.78 # BW rewrite match successes : 535
% 0.60/55.78 # Condensation attempts : 0
% 0.60/55.78 # Condensation successes : 0
% 0.60/55.78 # Termbank termtop insertions : 26300992
% 0.60/55.78
% 0.60/55.78 # -------------------------------------------------
% 0.60/55.78 # User time : 8.907 s
% 0.60/55.78 # System time : 0.115 s
% 0.60/55.78 # Total time : 9.022 s
% 0.60/55.78 # Maximum resident set size: 160004 pages
% 0.60/69.44 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.60/69.44
% 0.60/69.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/69.45 eprover: No such file or directory
% 0.60/69.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/69.46 eprover: No such file or directory
% 0.60/69.46 eprover: CPU time limit exceeded, terminating
% 0.60/69.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/69.46 eprover: No such file or directory
% 0.60/69.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/69.46 eprover: No such file or directory
% 0.60/69.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/69.46 eprover: No such file or directory
% 0.60/69.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/69.47 eprover: No such file or directory
% 0.60/69.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/69.47 eprover: No such file or directory
% 0.60/69.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.60/69.47 eprover: No such file or directory
% 0.60/69.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/69.47 eprover: No such file or directory
% 0.60/69.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/69.48 eprover: No such file or directory
% 0.60/69.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/69.48 eprover: No such file or directory
% 0.60/69.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.60/69.48 eprover: No such file or directory
% 0.60/69.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/69.48 eprover: No such file or directory
% 0.60/69.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.60/69.48 eprover: No such file or directory
% 0.60/69.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/69.48 eprover: No such file or directory
% 0.60/69.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/69.49 eprover: No such file or directory
% 0.60/69.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.60/69.49 eprover: No such file or directory
% 0.60/69.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/69.49 eprover: No such file or directory
% 0.60/69.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/69.49 eprover: No such file or directory
% 0.60/69.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/69.49 eprover: No such file or directory
% 0.60/69.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.60/69.49 eprover: No such file or directory
% 0.60/69.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/69.49 eprover: No such file or directory
% 0.60/69.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/69.50 eprover: No such file or directory
% 0.60/69.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.60/69.50 eprover: No such file or directory
% 0.60/69.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.60/69.51 eprover: No such file or directory
% 0.60/69.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.60/69.51 eprover: No such file or directory
% 0.60/69.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.60/69.52 eprover: No such file or directory
%------------------------------------------------------------------------------