%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : KLE105+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:58:51 PM UTC 2026
% Result : Theorem 68.72s 10.67s
% Output : CNFRefutation 68.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 24
% Syntax : Number of formulae : 171 ( 168 unt; 0 def)
% Number of atoms : 174 ( 173 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 8 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 15 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 243 ( 27 sgn 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(right_distributivity,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).
fof(codomain1,axiom,
! [X4] : multiplication(X4,coantidomain(X4)) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',codomain1) ).
fof(additive_identity,axiom,
! [X1] : addition(X1,zero) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
fof(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(multiplicative_right_identity,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
fof(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
fof(domain3,axiom,
! [X4] : addition(antidomain(antidomain(X4)),antidomain(X4)) = one,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain3) ).
fof(domain1,axiom,
! [X4] : multiplication(antidomain(X4),X4) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain1) ).
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(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(right_annihilation,axiom,
! [X1] : multiplication(X1,zero) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).
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(goals,conjecture,
! [X4,X5,X6] :
( addition(forward_diamond(X4,domain(X5)),domain(X6)) = domain(X6)
=> addition(domain(X5),backward_box(X4,domain(X6))) = backward_box(X4,domain(X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(forward_diamond,axiom,
! [X4,X5] : forward_diamond(X4,X5) = domain(multiplication(X4,domain(X5))),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+6.ax',forward_diamond) ).
fof(domain4,axiom,
! [X4] : domain(X4) = antidomain(antidomain(X4)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain4) ).
fof(left_annihilation,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
fof(complement,axiom,
! [X4] : c(X4) = antidomain(domain(X4)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+6.ax',complement) ).
fof(backward_box,axiom,
! [X4,X5] : backward_box(X4,X5) = c(backward_diamond(X4,c(X5))),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+6.ax',backward_box) ).
fof(backward_diamond,axiom,
! [X4,X5] : backward_diamond(X4,X5) = codomain(multiplication(codomain(X5),X4)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+6.ax',backward_diamond) ).
fof(codomain4,axiom,
! [X4] : codomain(X4) = coantidomain(coantidomain(X4)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',codomain4) ).
fof(c_0_24,plain,
! [X19,X20,X21] : multiplication(X19,addition(X20,X21)) = addition(multiplication(X19,X20),multiplication(X19,X21)),
inference(variable_rename,[status(thm)],[right_distributivity]) ).
fof(c_0_25,plain,
! [X34] : multiplication(X34,coantidomain(X34)) = zero,
inference(variable_rename,[status(thm)],[codomain1]) ).
fof(c_0_26,plain,
! [X12] : addition(X12,zero) = X12,
inference(variable_rename,[status(thm)],[additive_identity]) ).
cnf(c_0_27,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_28,plain,
multiplication(X1,coantidomain(X1)) = zero,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_29,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_30,plain,
! [X7,X8] : addition(X7,X8) = addition(X8,X7),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
fof(c_0_31,plain,
! [X37] : addition(coantidomain(coantidomain(X37)),coantidomain(X37)) = one,
inference(variable_rename,[status(thm)],[codomain3]) ).
fof(c_0_32,plain,
! [X22,X23,X24] : multiplication(addition(X22,X23),X24) = addition(multiplication(X22,X24),multiplication(X23,X24)),
inference(variable_rename,[status(thm)],[left_distributivity]) ).
cnf(c_0_33,plain,
multiplication(X1,addition(X2,coantidomain(X1))) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_34,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,plain,
addition(coantidomain(coantidomain(X1)),coantidomain(X1)) = one,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_36,plain,
! [X17] : multiplication(X17,one) = X17,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
cnf(c_0_37,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_38,plain,
! [X18] : multiplication(one,X18) = X18,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
cnf(c_0_39,plain,
multiplication(X1,addition(coantidomain(X1),X2)) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_40,plain,
addition(coantidomain(X1),coantidomain(coantidomain(X1))) = one,
inference(rw,[status(thm)],[c_0_35,c_0_34]) ).
cnf(c_0_41,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_42,plain,
! [X32] : addition(antidomain(antidomain(X32)),antidomain(X32)) = one,
inference(variable_rename,[status(thm)],[domain3]) ).
fof(c_0_43,plain,
! [X29] : multiplication(antidomain(X29),X29) = zero,
inference(variable_rename,[status(thm)],[domain1]) ).
fof(c_0_44,plain,
! [X9,X10,X11] : addition(X11,addition(X10,X9)) = addition(addition(X11,X10),X9),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
fof(c_0_45,plain,
! [X13] : addition(X13,X13) = X13,
inference(variable_rename,[status(thm)],[additive_idempotence]) ).
cnf(c_0_46,plain,
multiplication(addition(X1,X2),coantidomain(X2)) = multiplication(X1,coantidomain(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_28]),c_0_29]) ).
cnf(c_0_47,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_48,plain,
multiplication(X1,coantidomain(coantidomain(X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).
cnf(c_0_49,plain,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_50,plain,
multiplication(antidomain(X1),X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_51,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_52,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_53,plain,
! [X30,X31] : addition(antidomain(multiplication(X30,X31)),antidomain(multiplication(X30,antidomain(antidomain(X31))))) = antidomain(multiplication(X30,antidomain(antidomain(X31)))),
inference(variable_rename,[status(thm)],[domain2]) ).
cnf(c_0_54,plain,
coantidomain(coantidomain(coantidomain(X1))) = coantidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_40]),c_0_47]),c_0_48]) ).
cnf(c_0_55,plain,
addition(antidomain(X1),antidomain(antidomain(X1))) = one,
inference(rw,[status(thm)],[c_0_49,c_0_34]) ).
cnf(c_0_56,plain,
antidomain(one) = zero,
inference(spm,[status(thm)],[c_0_41,c_0_50]) ).
cnf(c_0_57,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_29,c_0_34]) ).
cnf(c_0_58,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_59,plain,
! [X14,X15,X16] : multiplication(X14,multiplication(X15,X16)) = multiplication(multiplication(X14,X15),X16),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
cnf(c_0_60,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_53]) ).
cnf(c_0_61,plain,
multiplication(coantidomain(coantidomain(X1)),coantidomain(X1)) = zero,
inference(spm,[status(thm)],[c_0_28,c_0_54]) ).
cnf(c_0_62,plain,
antidomain(zero) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).
cnf(c_0_63,plain,
addition(one,antidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_55]),c_0_34]) ).
cnf(c_0_64,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_65,plain,
antidomain(multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),c_0_63]) ).
fof(c_0_66,plain,
! [X25] : multiplication(X25,zero) = zero,
inference(variable_rename,[status(thm)],[right_annihilation]) ).
cnf(c_0_67,plain,
multiplication(addition(X1,antidomain(X2)),X2) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_50]),c_0_29]) ).
cnf(c_0_68,plain,
multiplication(X1,multiplication(coantidomain(coantidomain(X1)),X2)) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_64,c_0_48]) ).
cnf(c_0_69,plain,
multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1)))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_65]),c_0_47]) ).
cnf(c_0_70,plain,
multiplication(X1,zero) = zero,
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_71,plain,
multiplication(addition(antidomain(X1),X2),X1) = multiplication(X2,X1),
inference(spm,[status(thm)],[c_0_67,c_0_34]) ).
cnf(c_0_72,plain,
multiplication(antidomain(X1),addition(X2,X1)) = multiplication(antidomain(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_50]),c_0_29]) ).
cnf(c_0_73,plain,
multiplication(X1,antidomain(antidomain(coantidomain(X1)))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).
cnf(c_0_74,plain,
multiplication(antidomain(antidomain(X1)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_55]),c_0_47]) ).
cnf(c_0_75,plain,
multiplication(antidomain(addition(X1,X2)),X1) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_58]),c_0_50]) ).
cnf(c_0_76,plain,
multiplication(X1,addition(antidomain(antidomain(coantidomain(X1))),X2)) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_73]),c_0_57]) ).
cnf(c_0_77,plain,
antidomain(antidomain(antidomain(X1))) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_55]),c_0_41]),c_0_74]) ).
cnf(c_0_78,plain,
multiplication(addition(antidomain(addition(X1,X2)),X3),X1) = multiplication(X3,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_75]),c_0_57]) ).
cnf(c_0_79,plain,
addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
inference(spm,[status(thm)],[c_0_34,c_0_51]) ).
cnf(c_0_80,plain,
multiplication(X1,antidomain(coantidomain(X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_55]),c_0_41]),c_0_77]) ).
cnf(c_0_81,plain,
multiplication(antidomain(antidomain(addition(X1,X2))),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_55]),c_0_47]) ).
cnf(c_0_82,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[c_0_79,c_0_52]) ).
cnf(c_0_83,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_47]),c_0_34]) ).
cnf(c_0_84,plain,
multiplication(coantidomain(coantidomain(X1)),antidomain(coantidomain(X1))) = coantidomain(coantidomain(X1)),
inference(spm,[status(thm)],[c_0_80,c_0_54]) ).
cnf(c_0_85,plain,
addition(one,coantidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_40]),c_0_34]) ).
cnf(c_0_86,plain,
multiplication(antidomain(X1),addition(X1,X2)) = multiplication(antidomain(X1),X2),
inference(spm,[status(thm)],[c_0_72,c_0_34]) ).
fof(c_0_87,plain,
! [X35,X36] : addition(coantidomain(multiplication(X35,X36)),coantidomain(multiplication(coantidomain(coantidomain(X35)),X36))) = coantidomain(multiplication(coantidomain(coantidomain(X35)),X36)),
inference(variable_rename,[status(thm)],[codomain2]) ).
cnf(c_0_88,plain,
coantidomain(one) = zero,
inference(spm,[status(thm)],[c_0_47,c_0_28]) ).
cnf(c_0_89,plain,
multiplication(antidomain(antidomain(addition(X1,X2))),X2) = X2,
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_90,plain,
addition(antidomain(coantidomain(X1)),coantidomain(coantidomain(X1))) = antidomain(coantidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_34]),c_0_85]),c_0_47]) ).
cnf(c_0_91,plain,
multiplication(antidomain(coantidomain(X1)),coantidomain(coantidomain(X1))) = antidomain(coantidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_40]),c_0_41]) ).
fof(c_0_92,negated_conjecture,
~ ! [X4,X5,X6] :
( addition(forward_diamond(X4,domain(X5)),domain(X6)) = domain(X6)
=> addition(domain(X5),backward_box(X4,domain(X6))) = backward_box(X4,domain(X6)) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_93,plain,
! [X42,X43] : forward_diamond(X42,X43) = domain(multiplication(X42,domain(X43))),
inference(variable_rename,[status(thm)],[forward_diamond]) ).
fof(c_0_94,plain,
! [X33] : domain(X33) = antidomain(antidomain(X33)),
inference(variable_rename,[status(thm)],[domain4]) ).
fof(c_0_95,plain,
! [X26] : multiplication(zero,X26) = zero,
inference(variable_rename,[status(thm)],[left_annihilation]) ).
cnf(c_0_96,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_87]) ).
cnf(c_0_97,plain,
coantidomain(zero) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_88]),c_0_57]) ).
cnf(c_0_98,plain,
coantidomain(coantidomain(X1)) = antidomain(coantidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_77]),c_0_91]) ).
fof(c_0_99,negated_conjecture,
( addition(domain(esk2_0),backward_box(esk1_0,domain(esk3_0))) != backward_box(esk1_0,domain(esk3_0))
& addition(forward_diamond(esk1_0,domain(esk2_0)),domain(esk3_0)) = domain(esk3_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_92])])])]) ).
cnf(c_0_100,plain,
forward_diamond(X1,X2) = domain(multiplication(X1,domain(X2))),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_101,plain,
domain(X1) = antidomain(antidomain(X1)),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_102,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_103,plain,
coantidomain(multiplication(antidomain(coantidomain(antidomain(X1))),X1)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_50]),c_0_97]),c_0_98]),c_0_85]),c_0_98]) ).
cnf(c_0_104,plain,
multiplication(antidomain(addition(X1,X2)),X2) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_82]),c_0_50]) ).
cnf(c_0_105,negated_conjecture,
addition(forward_diamond(esk1_0,domain(esk2_0)),domain(esk3_0)) = domain(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_106,plain,
forward_diamond(X1,X2) = antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_101]),c_0_101]) ).
cnf(c_0_107,plain,
multiplication(antidomain(X1),multiplication(X1,X2)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_50]),c_0_102]) ).
cnf(c_0_108,plain,
multiplication(antidomain(coantidomain(antidomain(X1))),X1) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_103]),c_0_41]) ).
cnf(c_0_109,plain,
multiplication(antidomain(coantidomain(coantidomain(X1))),coantidomain(X1)) = antidomain(coantidomain(coantidomain(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_40]),c_0_41]) ).
cnf(c_0_110,plain,
multiplication(antidomain(addition(X1,X2)),multiplication(X2,X3)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_104]),c_0_102]) ).
cnf(c_0_111,negated_conjecture,
addition(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_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_105,c_0_101]),c_0_101]),c_0_101]),c_0_106]) ).
cnf(c_0_112,plain,
antidomain(multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_107]),c_0_62]),c_0_63]) ).
cnf(c_0_113,plain,
multiplication(X1,coantidomain(addition(X1,X2))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_58]),c_0_28]) ).
cnf(c_0_114,plain,
multiplication(addition(antidomain(coantidomain(antidomain(X1))),X2),X1) = multiplication(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_108]),c_0_57]) ).
cnf(c_0_115,plain,
antidomain(antidomain(coantidomain(X1))) = coantidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_98]),c_0_74]),c_0_98]) ).
cnf(c_0_116,plain,
multiplication(antidomain(addition(X1,antidomain(antidomain(X2)))),X2) = zero,
inference(spm,[status(thm)],[c_0_110,c_0_74]) ).
cnf(c_0_117,negated_conjecture,
addition(antidomain(antidomain(esk3_0)),antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0)))))))) = antidomain(antidomain(esk3_0)),
inference(rw,[status(thm)],[c_0_111,c_0_34]) ).
cnf(c_0_118,plain,
multiplication(X1,multiplication(antidomain(coantidomain(X1)),X2)) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_64,c_0_80]) ).
cnf(c_0_119,plain,
multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2)))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_112]),c_0_47]) ).
cnf(c_0_120,plain,
multiplication(X1,addition(coantidomain(addition(X1,X2)),X3)) = multiplication(X1,X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_113]),c_0_57]) ).
cnf(c_0_121,plain,
multiplication(coantidomain(antidomain(X1)),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_55]),c_0_47]),c_0_115]) ).
cnf(c_0_122,negated_conjecture,
multiplication(antidomain(esk3_0),multiplication(esk1_0,antidomain(antidomain(esk2_0)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_77]),c_0_77]) ).
fof(c_0_123,plain,
! [X39] : c(X39) = antidomain(domain(X39)),
inference(variable_rename,[status(thm)],[complement]) ).
cnf(c_0_124,plain,
multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2)))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_70]) ).
cnf(c_0_125,plain,
multiplication(X1,coantidomain(coantidomain(addition(X1,X2)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_40]),c_0_41]) ).
cnf(c_0_126,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_41]),c_0_34]) ).
cnf(c_0_127,plain,
multiplication(coantidomain(antidomain(X1)),antidomain(antidomain(X1))) = antidomain(antidomain(X1)),
inference(spm,[status(thm)],[c_0_121,c_0_77]) ).
cnf(c_0_128,plain,
multiplication(addition(X1,X2),coantidomain(X1)) = multiplication(X2,coantidomain(X1)),
inference(spm,[status(thm)],[c_0_46,c_0_34]) ).
cnf(c_0_129,negated_conjecture,
multiplication(antidomain(esk3_0),multiplication(esk1_0,multiplication(antidomain(antidomain(esk2_0)),X1))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_122]),c_0_102]),c_0_64]) ).
fof(c_0_130,plain,
! [X48,X49] : backward_box(X48,X49) = c(backward_diamond(X48,c(X49))),
inference(variable_rename,[status(thm)],[backward_box]) ).
cnf(c_0_131,plain,
c(X1) = antidomain(domain(X1)),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
fof(c_0_132,plain,
! [X44,X45] : backward_diamond(X44,X45) = codomain(multiplication(codomain(X45),X44)),
inference(variable_rename,[status(thm)],[backward_diamond]) ).
fof(c_0_133,plain,
! [X38] : codomain(X38) = coantidomain(coantidomain(X38)),
inference(variable_rename,[status(thm)],[codomain4]) ).
cnf(c_0_134,plain,
multiplication(X1,addition(antidomain(antidomain(multiplication(coantidomain(X1),X2))),X3)) = multiplication(X1,X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_124]),c_0_57]) ).
cnf(c_0_135,plain,
multiplication(X1,antidomain(coantidomain(addition(X1,X2)))) = X1,
inference(rw,[status(thm)],[c_0_125,c_0_98]) ).
cnf(c_0_136,plain,
addition(antidomain(antidomain(X1)),coantidomain(antidomain(X1))) = coantidomain(antidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_34]),c_0_63]),c_0_41]),c_0_34]) ).
cnf(c_0_137,plain,
multiplication(antidomain(antidomain(X1)),coantidomain(antidomain(X1))) = coantidomain(antidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_55]),c_0_47]) ).
cnf(c_0_138,plain,
addition(coantidomain(multiplication(X1,multiplication(X2,X3))),coantidomain(multiplication(antidomain(coantidomain(multiplication(X1,X2))),X3))) = coantidomain(multiplication(antidomain(coantidomain(multiplication(X1,X2))),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_64]),c_0_98]),c_0_98]) ).
cnf(c_0_139,negated_conjecture,
multiplication(antidomain(esk3_0),multiplication(esk1_0,esk2_0)) = zero,
inference(spm,[status(thm)],[c_0_129,c_0_74]) ).
cnf(c_0_140,plain,
backward_box(X1,X2) = c(backward_diamond(X1,c(X2))),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_141,plain,
c(X1) = antidomain(antidomain(antidomain(X1))),
inference(rw,[status(thm)],[c_0_131,c_0_101]) ).
cnf(c_0_142,plain,
backward_diamond(X1,X2) = codomain(multiplication(codomain(X2),X1)),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_143,plain,
codomain(X1) = coantidomain(coantidomain(X1)),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_144,plain,
multiplication(X1,antidomain(multiplication(coantidomain(X1),X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_55]),c_0_41]),c_0_77]) ).
cnf(c_0_145,plain,
coantidomain(antidomain(X1)) = antidomain(antidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_98]),c_0_115]),c_0_137]) ).
cnf(c_0_146,negated_conjecture,
coantidomain(multiplication(antidomain(coantidomain(multiplication(antidomain(esk3_0),esk1_0))),esk2_0)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_97]),c_0_85]) ).
cnf(c_0_147,negated_conjecture,
addition(domain(esk2_0),backward_box(esk1_0,domain(esk3_0))) != backward_box(esk1_0,domain(esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_148,plain,
backward_box(X1,X2) = antidomain(antidomain(antidomain(backward_diamond(X1,antidomain(antidomain(antidomain(X2))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_141]),c_0_141]) ).
cnf(c_0_149,plain,
backward_diamond(X1,X2) = coantidomain(coantidomain(multiplication(coantidomain(coantidomain(X2)),X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_143]),c_0_143]) ).
cnf(c_0_150,plain,
multiplication(coantidomain(antidomain(X1)),multiplication(X1,X2)) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_64,c_0_121]) ).
cnf(c_0_151,plain,
multiplication(antidomain(X1),antidomain(multiplication(antidomain(antidomain(X1)),X2))) = antidomain(X1),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_152,plain,
multiplication(antidomain(antidomain(X1)),multiplication(X1,X2)) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_64,c_0_74]) ).
cnf(c_0_153,negated_conjecture,
multiplication(antidomain(coantidomain(multiplication(antidomain(esk3_0),esk1_0))),esk2_0) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_146]),c_0_41]) ).
cnf(c_0_154,negated_conjecture,
addition(antidomain(antidomain(esk2_0)),antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(esk3_0))))))),esk1_0))))))) != antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(esk3_0))))))),esk1_0)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_101]),c_0_101]),c_0_101]),c_0_148]),c_0_148]),c_0_149]),c_0_149]) ).
cnf(c_0_155,plain,
multiplication(coantidomain(antidomain(addition(X1,X2))),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_81]),c_0_77]) ).
cnf(c_0_156,plain,
addition(X1,addition(coantidomain(X2),multiplication(X2,X1))) = multiplication(addition(X2,one),addition(X1,coantidomain(X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_33]),c_0_51]) ).
cnf(c_0_157,plain,
multiplication(antidomain(X1),antidomain(multiplication(X1,X2))) = antidomain(X1),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_158,negated_conjecture,
multiplication(addition(antidomain(coantidomain(multiplication(antidomain(esk3_0),esk1_0))),X1),esk2_0) = multiplication(X1,esk2_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_153]),c_0_57]) ).
cnf(c_0_159,negated_conjecture,
addition(antidomain(antidomain(esk2_0)),antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(esk3_0))),esk1_0))))) != antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(esk3_0))),esk1_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_77]),c_0_77]),c_0_77]),c_0_77]),c_0_77]),c_0_77]) ).
cnf(c_0_160,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_155,c_0_117]),c_0_77]) ).
cnf(c_0_161,plain,
addition(antidomain(antidomain(X1)),antidomain(multiplication(X1,X2))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_145]),c_0_34]),c_0_55]),c_0_34]),c_0_63]),c_0_34]),c_0_63]),c_0_145]),c_0_34]),c_0_47]) ).
cnf(c_0_162,negated_conjecture,
multiplication(coantidomain(multiplication(antidomain(esk3_0),esk1_0)),esk2_0) = esk2_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_55]),c_0_47]),c_0_115]) ).
cnf(c_0_163,negated_conjecture,
addition(antidomain(antidomain(esk2_0)),antidomain(antidomain(coantidomain(multiplication(antidomain(coantidomain(antidomain(esk3_0))),esk1_0))))) != antidomain(antidomain(coantidomain(multiplication(antidomain(coantidomain(antidomain(esk3_0))),esk1_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_98]),c_0_98]),c_0_98]),c_0_98]) ).
cnf(c_0_164,negated_conjecture,
addition(antidomain(antidomain(esk3_0)),coantidomain(antidomain(esk3_0))) = coantidomain(antidomain(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_160]),c_0_34]),c_0_63]),c_0_41]),c_0_34]) ).
cnf(c_0_165,negated_conjecture,
addition(antidomain(esk2_0),coantidomain(multiplication(antidomain(esk3_0),esk1_0))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_115]),c_0_34]) ).
cnf(c_0_166,negated_conjecture,
addition(antidomain(antidomain(esk2_0)),coantidomain(multiplication(antidomain(coantidomain(antidomain(esk3_0))),esk1_0))) != coantidomain(multiplication(antidomain(coantidomain(antidomain(esk3_0))),esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_115]),c_0_115]) ).
cnf(c_0_167,negated_conjecture,
coantidomain(antidomain(esk3_0)) = antidomain(antidomain(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_164]),c_0_98]),c_0_115]),c_0_137]) ).
cnf(c_0_168,negated_conjecture,
multiplication(antidomain(antidomain(esk2_0)),coantidomain(multiplication(antidomain(esk3_0),esk1_0))) = antidomain(antidomain(esk2_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_165]),c_0_41]) ).
cnf(c_0_169,negated_conjecture,
addition(antidomain(antidomain(esk2_0)),coantidomain(multiplication(antidomain(esk3_0),esk1_0))) != coantidomain(multiplication(antidomain(esk3_0),esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_77]),c_0_77]) ).
cnf(c_0_170,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_168]),c_0_34]),c_0_63]),c_0_47]),c_0_34]),c_0_169]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE105+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 % Computer : n015.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sun Sep 20 22:47:36 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.48 Running first-order theorem proving
% 0.18/0.48 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 68.72/10.67 % Version: 3.5.1
% 68.72/10.67 % Preprocessing class: FSMSSMSSSSSNFFN.
% 68.72/10.67 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 68.72/10.67 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 68.72/10.67 % Starting new_bool_3 with 300s (1) cores
% 68.72/10.67 % Starting new_bool_1 with 300s (1) cores
% 68.72/10.67 % Starting sh5l with 300s (1) cores
% 68.72/10.67 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4112778 completed with status 0
% 68.72/10.67 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 68.72/10.67 % Preprocessing class: FSMSSMSSSSSNFFN.
% 68.72/10.67 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 68.72/10.67 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 68.72/10.67 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 68.72/10.67 % No SInE strategy applied
% 68.72/10.67 % Search class: FHUSM-FFMF21-DFFFFFNN
% 68.72/10.67 % partial match(1): FHUSM-FFMF21-MFFFFFNN
% 68.72/10.67 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 68.72/10.67 % Starting SubtermCWHack with 136s (1) cores
% 68.72/10.67 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 68.72/10.67 % Starting G-E--_100_C18_F1_PI_AE_Q4_CS_SP_S0Y with 212s (1) cores
% 68.72/10.67 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 136s (1) cores
% 68.72/10.67 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 68.72/10.67 % G-E--_100_C18_F1_PI_AE_Q4_CS_SP_S0Y with pid 4112784 completed with status 0
% 68.72/10.67 % Result found by G-E--_100_C18_F1_PI_AE_Q4_CS_SP_S0Y
% 68.72/10.67 % Preprocessing class: FSMSSMSSSSSNFFN.
% 68.72/10.67 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 68.72/10.67 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 68.72/10.67 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 68.72/10.67 % No SInE strategy applied
% 68.72/10.67 % Search class: FHUSM-FFMF21-DFFFFFNN
% 68.72/10.67 % partial match(1): FHUSM-FFMF21-MFFFFFNN
% 68.72/10.67 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 68.72/10.67 % Starting SubtermCWHack with 136s (1) cores
% 68.72/10.67 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 68.72/10.67 % Starting G-E--_100_C18_F1_PI_AE_Q4_CS_SP_S0Y with 212s (1) cores
% 68.72/10.67 % Preprocessing time : 0.002 s
% 68.72/10.67
% 68.72/10.67 % Proof found!
% 68.72/10.67 % SZS status Theorem
% 68.72/10.68 % SZS output start CNFRefutation
% See solution above
% 68.72/10.68 % Parsed axioms : 27
% 68.72/10.68 % Removed by relevancy pruning/SinE : 0
% 68.72/10.68 % Initial clauses : 29
% 68.72/10.68 % Removed in clause preprocessing : 8
% 68.72/10.68 % Initial clauses in saturation : 21
% 68.72/10.68 % Processed clauses : 8561
% 68.72/10.68 % ...of these trivial : 4596
% 68.72/10.68 % ...subsumed : 2651
% 68.72/10.68 % ...remaining for further processing : 1313
% 68.72/10.68 % Other redundant clauses eliminated : 0
% 68.72/10.68 % Clauses deleted for lack of memory : 0
% 68.72/10.68 % Backward-subsumed : 0
% 68.72/10.68 % Backward-rewritten : 185
% 68.72/10.68 % Generated clauses : 521565
% 68.72/10.68 % ...of the previous two non-redundant : 201499
% 68.72/10.68 % ...aggressively subsumed : 0
% 68.72/10.68 % Contextual simplify-reflections : 0
% 68.72/10.68 % Paramodulations : 521565
% 68.72/10.68 % Factorizations : 0
% 68.72/10.68 % NegExts : 0
% 68.72/10.68 % Equation resolutions : 0
% 68.72/10.68 % Disequality decompositions : 0
% 68.72/10.68 % Total rewrite steps : 1103711
% 68.72/10.68 % ...of those cached : 977098
% 68.72/10.68 % Propositional unsat checks : 0
% 68.72/10.68 % Propositional check models : 0
% 68.72/10.68 % Propositional check unsatisfiable : 0
% 68.72/10.68 % Propositional clauses : 0
% 68.72/10.68 % Propositional clauses after purity: 0
% 68.72/10.68 % Propositional unsat core size : 0
% 68.72/10.68 % Propositional preprocessing time : 0.000
% 68.72/10.68 % Propositional encoding time : 0.000
% 68.72/10.68 % Propositional solver time : 0.000
% 68.72/10.68 % Success case prop preproc time : 0.000
% 68.72/10.68 % Success case prop encoding time : 0.000
% 68.72/10.68 % Success case prop solver time : 0.000
% 68.72/10.68 % Current number of processed clauses : 1128
% 68.72/10.68 % Positive orientable unit clauses : 1112
% 68.72/10.68 % Positive unorientable unit clauses: 12
% 68.72/10.68 % Negative unit clauses : 2
% 68.72/10.68 % Non-unit-clauses : 2
% 68.72/10.68 % Current number of unprocessed clauses: 192311
% 68.72/10.68 % ...number of literals in the above : 192311
% 68.72/10.68 % Current number of archived formulas : 0
% 68.72/10.68 % Current number of archived clauses : 193
% 68.72/10.68 % Clause-clause subsumption calls (NU) : 0
% 68.72/10.68 % Rec. Clause-clause subsumption calls : 0
% 68.72/10.68 % Non-unit clause-clause subsumptions : 0
% 68.72/10.68 % Unit Clause-clause subsumption calls : 55
% 68.72/10.68 % Rewrite failures with RHS unbound : 0
% 68.72/10.68 % BW rewrite match attempts : 11013
% 68.72/10.68 % BW rewrite match successes : 237
% 68.72/10.68 % Condensation attempts : 0
% 68.72/10.68 % Condensation successes : 0
% 68.72/10.68 % Termbank termtop insertions : 7190507
% 68.72/10.68 % Search garbage collected termcells : 55
% 68.72/10.68
% 68.72/10.68 % -------------------------------------------------
% 68.72/10.68 % User time : 9.459 s
% 68.72/10.68 % System time : 0.355 s
% 68.72/10.68 % Total time : 9.814 s
% 68.72/10.68 % Maximum resident set size: 3660 pages
% 68.72/10.68
% 68.72/10.68 % -------------------------------------------------
% 68.72/10.68 % User time : 46.558 s
% 68.72/10.68 % System time : 1.831 s
% 68.72/10.68 % Total time : 48.388 s
% 68.72/10.68 % Maximum resident set size: 4864 pages
% 68.72/10.68 % E exiting
%------------------------------------------------------------------------------