%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : KLE016+2 : 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 : n018.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 12:58:36 PM UTC 2026
% Result : Theorem 56.76s 9.02s
% Output : CNFRefutation 56.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 15
% Syntax : Number of formulae : 229 ( 158 unt; 0 def)
% Number of atoms : 343 ( 245 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 214 ( 100 ~; 97 |; 11 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 234 ( 8 sgn 56 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(test_3,axiom,
! [X4,X5] :
( test(X4)
=> ( c(X4) = X5
<=> complement(X4,X5) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_3) ).
fof(test_2,axiom,
! [X4,X5] :
( complement(X5,X4)
<=> ( addition(X4,X5) = one
& multiplication(X5,X4) = zero
& multiplication(X4,X5) = zero ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_2) ).
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(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(multiplicative_right_identity,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
fof(goals,conjecture,
! [X4,X5] :
( ( test(X4)
& test(X5) )
=> c(multiplication(X4,X5)) = addition(c(X4),c(X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
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(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(test_1,axiom,
! [X4] :
( test(X4)
<=> ? [X5] : complement(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_1) ).
fof(left_distributivity,axiom,
! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
fof(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
fof(left_annihilation,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
fof(right_annihilation,axiom,
! [X1] : multiplication(X1,zero) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).
fof(c_0_15,plain,
! [X34,X35] :
( ( ~ test(X34)
| c(X34) = X35
| ~ complement(X34,X35) )
& ( ~ test(X34)
| complement(X34,X35)
| c(X34) != X35 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_3])])])]) ).
fof(c_0_16,plain,
! [X32,X33] :
( ( complement(X33,X32)
| addition(X32,X33) != one
| multiplication(X33,X32) != zero
| multiplication(X32,X33) != zero )
& ( ~ complement(X33,X32)
| addition(X32,X33) = one )
& ( ~ complement(X33,X32)
| multiplication(X33,X32) = zero )
& ( ~ complement(X33,X32)
| multiplication(X32,X33) = zero ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_2])])])]) ).
cnf(c_0_17,plain,
( ~ test(X1)
| c(X1) != X2
| complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_18,plain,
! [X18,X19,X20] : multiplication(X18,addition(X19,X20)) = addition(multiplication(X18,X19),multiplication(X18,X20)),
inference(variable_rename,[status(thm)],[right_distributivity]) ).
cnf(c_0_19,plain,
( ~ complement(X1,X2)
| multiplication(X1,X2) = zero ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,plain,
( ~ test(X1)
| complement(X1,c(X1)) ),
inference(er,[status(thm)],[c_0_17]) ).
fof(c_0_21,plain,
! [X11] : addition(X11,zero) = X11,
inference(variable_rename,[status(thm)],[additive_identity]) ).
fof(c_0_22,plain,
! [X6,X7] : addition(X6,X7) = addition(X7,X6),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
cnf(c_0_23,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,plain,
( ~ test(X1)
| multiplication(X1,c(X1)) = zero ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
( ~ complement(X2,X1)
| addition(X1,X2) = one ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_27,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_28,plain,
! [X16] : multiplication(X16,one) = X16,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
fof(c_0_29,negated_conjecture,
~ ! [X4,X5] :
( ( test(X4)
& test(X5) )
=> c(multiplication(X4,X5)) = addition(c(X4),c(X5)) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_30,plain,
! [X13,X14,X15] : multiplication(X13,multiplication(X14,X15)) = multiplication(multiplication(X13,X14),X15),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
cnf(c_0_31,plain,
( ~ test(X1)
| multiplication(X1,addition(X2,c(X1))) = multiplication(X1,X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_32,plain,
( ~ test(X1)
| addition(X1,c(X1)) = one ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_20]),c_0_27]) ).
cnf(c_0_33,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_34,negated_conjecture,
( c(multiplication(esk2_0,esk3_0)) != addition(c(esk2_0),c(esk3_0))
& test(esk2_0)
& test(esk3_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])]) ).
cnf(c_0_35,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,plain,
( ~ test(X1)
| multiplication(X1,X1) = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_37,negated_conjecture,
test(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_38,negated_conjecture,
test(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_39,plain,
( ~ test(multiplication(X1,X2))
| multiplication(X1,multiplication(X2,c(multiplication(X1,X2)))) = zero ),
inference(spm,[status(thm)],[c_0_24,c_0_35]) ).
cnf(c_0_40,negated_conjecture,
multiplication(esk2_0,esk2_0) = esk2_0,
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
fof(c_0_41,plain,
! [X8,X9,X10] : addition(X10,addition(X9,X8)) = addition(addition(X10,X9),X8),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
fof(c_0_42,plain,
! [X12] : addition(X12,X12) = X12,
inference(variable_rename,[status(thm)],[additive_idempotence]) ).
fof(c_0_43,plain,
! [X28,X30,X31] :
( ( test(X30)
| ~ complement(X31,X30) )
& ( complement(esk1_1(X28),X28)
| ~ test(X28) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[test_1])])])])])]) ).
cnf(c_0_44,negated_conjecture,
multiplication(esk3_0,esk3_0) = esk3_0,
inference(spm,[status(thm)],[c_0_36,c_0_38]) ).
cnf(c_0_45,negated_conjecture,
multiplication(esk2_0,multiplication(esk2_0,c(esk2_0))) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_37])]) ).
cnf(c_0_46,negated_conjecture,
multiplication(esk2_0,multiplication(esk2_0,X1)) = multiplication(esk2_0,X1),
inference(spm,[status(thm)],[c_0_35,c_0_40]) ).
cnf(c_0_47,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_48,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_49,plain,
( ~ test(X1)
| complement(esk1_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_50,negated_conjecture,
multiplication(esk3_0,multiplication(esk3_0,c(esk3_0))) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_44]),c_0_38])]) ).
cnf(c_0_51,negated_conjecture,
multiplication(esk3_0,multiplication(esk3_0,X1)) = multiplication(esk3_0,X1),
inference(spm,[status(thm)],[c_0_35,c_0_44]) ).
fof(c_0_52,plain,
! [X21,X22,X23] : multiplication(addition(X21,X22),X23) = addition(multiplication(X21,X23),multiplication(X22,X23)),
inference(variable_rename,[status(thm)],[left_distributivity]) ).
fof(c_0_53,plain,
! [X17] : multiplication(one,X17) = X17,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
cnf(c_0_54,negated_conjecture,
multiplication(esk2_0,c(esk2_0)) = zero,
inference(rw,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_55,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_25,c_0_27]) ).
cnf(c_0_56,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_57,plain,
( ~ test(X1)
| addition(X1,esk1_1(X1)) = one ),
inference(spm,[status(thm)],[c_0_26,c_0_49]) ).
cnf(c_0_58,negated_conjecture,
multiplication(esk3_0,c(esk3_0)) = zero,
inference(rw,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_59,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_60,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_61,negated_conjecture,
multiplication(esk2_0,addition(c(esk2_0),X1)) = multiplication(esk2_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_54]),c_0_55]) ).
cnf(c_0_62,plain,
( ~ test(X1)
| addition(X1,one) = one ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_63,plain,
( ~ complement(X1,X2)
| test(X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_64,plain,
( addition(X1,X2) != one
| multiplication(X2,X1) != zero
| multiplication(X1,X2) != zero
| complement(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_65,negated_conjecture,
multiplication(esk3_0,addition(c(esk3_0),X1)) = multiplication(esk3_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_58]),c_0_55]) ).
cnf(c_0_66,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_27]) ).
cnf(c_0_67,negated_conjecture,
( ~ test(c(esk2_0))
| multiplication(esk2_0,c(c(esk2_0))) = esk2_0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_32]),c_0_33]) ).
cnf(c_0_68,negated_conjecture,
addition(one,esk2_0) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_37]),c_0_27]) ).
cnf(c_0_69,plain,
( multiplication(X1,X2) != zero
| multiplication(X2,X1) != zero
| addition(X1,X2) != one
| test(X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_70,negated_conjecture,
( ~ test(c(esk3_0))
| multiplication(esk3_0,c(c(esk3_0))) = esk3_0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_32]),c_0_33]) ).
cnf(c_0_71,negated_conjecture,
addition(one,esk3_0) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_38]),c_0_27]) ).
cnf(c_0_72,negated_conjecture,
( ~ test(c(esk2_0))
| addition(esk2_0,c(c(esk2_0))) = c(c(esk2_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_27]),c_0_68]),c_0_60]),c_0_27]) ).
cnf(c_0_73,plain,
( ~ test(X1)
| ~ complement(X1,X2)
| c(X1) = X2 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_74,plain,
( multiplication(X1,X2) != zero
| multiplication(X2,X1) != zero
| addition(X2,X1) != one
| test(X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_27]) ).
cnf(c_0_75,plain,
( ~ complement(X2,X1)
| multiplication(X1,X2) = zero ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_76,negated_conjecture,
( ~ test(c(esk3_0))
| addition(esk3_0,c(c(esk3_0))) = c(c(esk3_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_70]),c_0_27]),c_0_71]),c_0_60]),c_0_27]) ).
cnf(c_0_77,negated_conjecture,
( ~ test(c(esk2_0))
| multiplication(c(esk2_0),c(c(esk2_0))) = multiplication(c(esk2_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_31,c_0_72]) ).
cnf(c_0_78,plain,
( ~ test(addition(X1,X2))
| addition(X1,addition(X2,c(addition(X1,X2)))) = one ),
inference(spm,[status(thm)],[c_0_47,c_0_32]) ).
cnf(c_0_79,plain,
( ~ test(X1)
| test(c(X1)) ),
inference(spm,[status(thm)],[c_0_63,c_0_20]) ).
cnf(c_0_80,plain,
( multiplication(X2,X1) != zero
| multiplication(X1,X2) != zero
| addition(X2,X1) != one
| c(X1) = X2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_64]),c_0_74]) ).
cnf(c_0_81,plain,
( ~ test(X1)
| multiplication(c(X1),X1) = zero ),
inference(spm,[status(thm)],[c_0_75,c_0_20]) ).
cnf(c_0_82,negated_conjecture,
( ~ test(c(esk3_0))
| multiplication(c(esk3_0),c(c(esk3_0))) = multiplication(c(esk3_0),esk3_0) ),
inference(spm,[status(thm)],[c_0_31,c_0_76]) ).
cnf(c_0_83,negated_conjecture,
( ~ test(c(esk2_0))
| multiplication(c(esk2_0),esk2_0) = zero ),
inference(spm,[status(thm)],[c_0_24,c_0_77]) ).
cnf(c_0_84,negated_conjecture,
( ~ test(c(esk2_0))
| addition(esk2_0,addition(c(c(esk2_0)),c(c(c(esk2_0))))) = one ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_72]),c_0_79]) ).
cnf(c_0_85,plain,
( ~ test(X1)
| c(c(X1)) = X1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_32]),c_0_24]),c_0_81]) ).
cnf(c_0_86,negated_conjecture,
( ~ test(c(esk3_0))
| multiplication(c(esk3_0),esk3_0) = zero ),
inference(spm,[status(thm)],[c_0_24,c_0_82]) ).
cnf(c_0_87,negated_conjecture,
( ~ test(c(esk3_0))
| addition(esk3_0,addition(c(c(esk3_0)),c(c(c(esk3_0))))) = one ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_76]),c_0_79]) ).
cnf(c_0_88,negated_conjecture,
multiplication(c(esk2_0),esk2_0) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_79]),c_0_37])]) ).
cnf(c_0_89,negated_conjecture,
( ~ test(c(esk2_0))
| addition(esk2_0,c(esk2_0)) = one ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_56]),c_0_37])]) ).
cnf(c_0_90,negated_conjecture,
multiplication(c(esk3_0),esk3_0) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_79]),c_0_38])]) ).
cnf(c_0_91,negated_conjecture,
( ~ test(c(esk3_0))
| addition(esk3_0,c(esk3_0)) = one ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_85]),c_0_56]),c_0_38])]) ).
cnf(c_0_92,negated_conjecture,
multiplication(addition(c(esk2_0),X1),esk2_0) = multiplication(X1,esk2_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_88]),c_0_55]) ).
cnf(c_0_93,negated_conjecture,
addition(esk2_0,c(esk2_0)) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_79]),c_0_37])]) ).
cnf(c_0_94,negated_conjecture,
multiplication(addition(c(esk3_0),X1),esk3_0) = multiplication(X1,esk3_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_90]),c_0_55]) ).
cnf(c_0_95,negated_conjecture,
addition(esk3_0,c(esk3_0)) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_79]),c_0_38])]) ).
cnf(c_0_96,plain,
( ~ test(X1)
| multiplication(addition(X1,X2),c(X1)) = multiplication(X2,c(X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_24]),c_0_55]) ).
cnf(c_0_97,negated_conjecture,
( ~ test(c(esk2_0))
| multiplication(esk1_1(c(esk2_0)),esk2_0) = esk2_0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_57]),c_0_60]) ).
cnf(c_0_98,negated_conjecture,
test(c(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_93]),c_0_54]),c_0_88])]) ).
fof(c_0_99,plain,
! [X25] : multiplication(zero,X25) = zero,
inference(variable_rename,[status(thm)],[left_annihilation]) ).
cnf(c_0_100,negated_conjecture,
( ~ test(c(esk3_0))
| multiplication(esk1_1(c(esk3_0)),esk3_0) = esk3_0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_57]),c_0_60]) ).
cnf(c_0_101,negated_conjecture,
test(c(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_95]),c_0_58]),c_0_90])]) ).
cnf(c_0_102,negated_conjecture,
multiplication(c(esk2_0),c(esk2_0)) = c(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_93]),c_0_60]),c_0_37])]) ).
cnf(c_0_103,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_33]),c_0_27]) ).
cnf(c_0_104,negated_conjecture,
addition(one,addition(esk3_0,X1)) = addition(one,X1),
inference(spm,[status(thm)],[c_0_47,c_0_71]) ).
cnf(c_0_105,plain,
addition(X1,addition(X2,X3)) = addition(X2,addition(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_27]),c_0_47]) ).
cnf(c_0_106,negated_conjecture,
multiplication(esk1_1(c(esk2_0)),esk2_0) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_98])]) ).
cnf(c_0_107,plain,
( ~ test(X1)
| multiplication(X1,esk1_1(X1)) = zero ),
inference(spm,[status(thm)],[c_0_75,c_0_49]) ).
cnf(c_0_108,plain,
( ~ test(X1)
| multiplication(esk1_1(X1),X1) = zero ),
inference(spm,[status(thm)],[c_0_19,c_0_49]) ).
cnf(c_0_109,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_110,negated_conjecture,
multiplication(c(esk3_0),c(esk3_0)) = c(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_95]),c_0_60]),c_0_38])]) ).
cnf(c_0_111,negated_conjecture,
addition(one,addition(esk2_0,X1)) = addition(one,X1),
inference(spm,[status(thm)],[c_0_47,c_0_68]) ).
cnf(c_0_112,negated_conjecture,
multiplication(esk1_1(c(esk3_0)),esk3_0) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_101])]) ).
cnf(c_0_113,plain,
( ~ test(X2)
| multiplication(addition(X1,X2),c(X2)) = multiplication(X1,c(X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_24]),c_0_25]) ).
cnf(c_0_114,negated_conjecture,
addition(multiplication(esk3_0,X1),multiplication(X2,addition(c(esk3_0),X1))) = multiplication(addition(esk3_0,X2),addition(c(esk3_0),X1)),
inference(spm,[status(thm)],[c_0_59,c_0_65]) ).
cnf(c_0_115,negated_conjecture,
multiplication(c(esk2_0),addition(X1,c(esk2_0))) = multiplication(c(esk2_0),addition(X1,one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_102]),c_0_27]),c_0_103]) ).
cnf(c_0_116,negated_conjecture,
addition(one,c(esk3_0)) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_32]),c_0_48]),c_0_38])]) ).
cnf(c_0_117,plain,
( ~ test(X1)
| addition(X1,addition(X2,esk1_1(X1))) = addition(X2,one) ),
inference(spm,[status(thm)],[c_0_105,c_0_57]) ).
cnf(c_0_118,negated_conjecture,
addition(esk2_0,esk1_1(c(esk2_0))) = esk1_1(c(esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_106]),c_0_27]),c_0_68]),c_0_33]),c_0_27]) ).
cnf(c_0_119,plain,
( ~ test(X1)
| multiplication(X1,addition(X2,esk1_1(X1))) = multiplication(X1,X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_107]),c_0_25]) ).
cnf(c_0_120,plain,
( ~ test(X1)
| multiplication(esk1_1(X1),multiplication(X1,X2)) = zero ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_108]),c_0_109]) ).
cnf(c_0_121,negated_conjecture,
addition(multiplication(esk2_0,X1),multiplication(X2,addition(c(esk2_0),X1))) = multiplication(addition(esk2_0,X2),addition(c(esk2_0),X1)),
inference(spm,[status(thm)],[c_0_59,c_0_61]) ).
cnf(c_0_122,negated_conjecture,
multiplication(c(esk3_0),addition(X1,c(esk3_0))) = multiplication(c(esk3_0),addition(X1,one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_110]),c_0_27]),c_0_103]) ).
cnf(c_0_123,negated_conjecture,
addition(one,c(esk2_0)) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_32]),c_0_48]),c_0_37])]) ).
cnf(c_0_124,negated_conjecture,
addition(esk3_0,esk1_1(c(esk3_0))) = esk1_1(c(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_112]),c_0_27]),c_0_71]),c_0_33]),c_0_27]) ).
cnf(c_0_125,plain,
( ~ test(X2)
| addition(multiplication(X1,c(X2)),multiplication(addition(X1,X2),X3)) = multiplication(addition(X1,X2),addition(c(X2),X3)) ),
inference(spm,[status(thm)],[c_0_23,c_0_113]) ).
cnf(c_0_126,negated_conjecture,
multiplication(addition(esk3_0,c(esk2_0)),addition(c(esk2_0),c(esk3_0))) = c(esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_27]),c_0_116]),c_0_33]),c_0_27]),c_0_66]),c_0_27]),c_0_71]),c_0_60]),c_0_27]) ).
cnf(c_0_127,negated_conjecture,
c(c(esk2_0)) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_93]),c_0_88]),c_0_54])]) ).
cnf(c_0_128,negated_conjecture,
addition(esk2_0,addition(c(esk2_0),X1)) = addition(one,X1),
inference(spm,[status(thm)],[c_0_47,c_0_93]) ).
cnf(c_0_129,plain,
( multiplication(X2,X1) != zero
| multiplication(X1,X2) != zero
| addition(X1,X2) != one
| c(X1) = X2 ),
inference(spm,[status(thm)],[c_0_80,c_0_27]) ).
cnf(c_0_130,negated_conjecture,
addition(c(esk2_0),esk1_1(c(esk2_0))) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_27]),c_0_68]),c_0_98])]) ).
cnf(c_0_131,negated_conjecture,
multiplication(c(esk2_0),esk1_1(c(esk2_0))) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_118]),c_0_88]),c_0_98])]) ).
cnf(c_0_132,negated_conjecture,
multiplication(esk1_1(c(esk2_0)),c(esk2_0)) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_102]),c_0_98])]) ).
cnf(c_0_133,negated_conjecture,
multiplication(esk3_0,addition(X1,c(esk3_0))) = multiplication(esk3_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_58]),c_0_25]) ).
cnf(c_0_134,negated_conjecture,
multiplication(esk3_0,addition(X1,esk3_0)) = multiplication(esk3_0,addition(X1,one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_44]),c_0_27]),c_0_103]) ).
cnf(c_0_135,negated_conjecture,
multiplication(esk2_0,multiplication(c(esk2_0),X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_54]),c_0_109]) ).
cnf(c_0_136,negated_conjecture,
multiplication(addition(esk2_0,c(esk3_0)),addition(c(esk2_0),c(esk3_0))) = c(esk3_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)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_27]),c_0_123]),c_0_33]),c_0_27]),c_0_66]),c_0_27]),c_0_68]),c_0_60]) ).
cnf(c_0_137,negated_conjecture,
c(c(esk3_0)) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_95]),c_0_90]),c_0_58])]) ).
cnf(c_0_138,negated_conjecture,
addition(esk3_0,addition(X1,c(esk3_0))) = addition(X1,one),
inference(spm,[status(thm)],[c_0_105,c_0_95]) ).
cnf(c_0_139,negated_conjecture,
addition(c(esk3_0),esk1_1(c(esk3_0))) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_124]),c_0_27]),c_0_71]),c_0_101])]) ).
cnf(c_0_140,negated_conjecture,
multiplication(c(esk3_0),esk1_1(c(esk3_0))) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_124]),c_0_90]),c_0_101])]) ).
cnf(c_0_141,negated_conjecture,
multiplication(esk1_1(c(esk3_0)),c(esk3_0)) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_110]),c_0_101])]) ).
cnf(c_0_142,plain,
( ~ test(X1)
| multiplication(esk1_1(X1),addition(X2,X1)) = multiplication(esk1_1(X1),X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_108]),c_0_25]) ).
cnf(c_0_143,negated_conjecture,
addition(multiplication(esk3_0,esk2_0),c(esk2_0)) = addition(esk3_0,c(esk2_0)),
inference(cn,[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_125,c_0_126]),c_0_127]),c_0_127]),c_0_128]),c_0_116]),c_0_33]),c_0_98])]) ).
cnf(c_0_144,negated_conjecture,
esk1_1(c(esk2_0)) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_127]),c_0_131]),c_0_132])]) ).
cnf(c_0_145,negated_conjecture,
multiplication(esk2_0,addition(X1,c(esk2_0))) = multiplication(esk2_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_54]),c_0_25]) ).
cnf(c_0_146,plain,
addition(multiplication(X1,X2),addition(multiplication(X1,X3),X4)) = addition(multiplication(X1,addition(X2,X3)),X4),
inference(spm,[status(thm)],[c_0_47,c_0_23]) ).
cnf(c_0_147,negated_conjecture,
multiplication(c(esk2_0),addition(esk2_0,X1)) = multiplication(c(esk2_0),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_88]),c_0_55]) ).
cnf(c_0_148,negated_conjecture,
addition(X1,addition(c(esk3_0),multiplication(esk3_0,X1))) = addition(X1,c(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_133]),c_0_47]),c_0_27]),c_0_71]),c_0_60]) ).
cnf(c_0_149,negated_conjecture,
multiplication(addition(esk2_0,esk3_0),addition(esk3_0,c(esk2_0))) = esk3_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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_134]),c_0_27]),c_0_123]),c_0_33]),c_0_27]),c_0_66]),c_0_27]),c_0_68]),c_0_60]),c_0_27]) ).
cnf(c_0_150,negated_conjecture,
multiplication(addition(esk3_0,X1),c(esk3_0)) = multiplication(X1,c(esk3_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_58]),c_0_55]) ).
cnf(c_0_151,negated_conjecture,
multiplication(addition(esk2_0,X1),multiplication(c(esk2_0),X2)) = multiplication(X1,multiplication(c(esk2_0),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_135]),c_0_55]) ).
cnf(c_0_152,negated_conjecture,
addition(multiplication(esk2_0,esk3_0),c(esk3_0)) = addition(esk2_0,c(esk3_0)),
inference(cn,[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_125,c_0_136]),c_0_137]),c_0_137]),c_0_138]),c_0_27]),c_0_123]),c_0_33]),c_0_101])]) ).
cnf(c_0_153,negated_conjecture,
esk1_1(c(esk3_0)) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_139]),c_0_137]),c_0_140]),c_0_141])]) ).
cnf(c_0_154,negated_conjecture,
multiplication(esk2_0,multiplication(esk3_0,esk2_0)) = multiplication(esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_144]),c_0_145]),c_0_144]),c_0_98])]) ).
cnf(c_0_155,plain,
( ~ test(X1)
| multiplication(esk1_1(X1),addition(X1,X2)) = multiplication(esk1_1(X1),X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_108]),c_0_55]) ).
cnf(c_0_156,plain,
( addition(multiplication(X1,addition(X4,X2)),X3) != one
| multiplication(addition(multiplication(X1,X2),X3),multiplication(X1,X4)) != zero
| multiplication(X1,multiplication(X4,addition(multiplication(X1,X2),X3))) != zero
| test(addition(multiplication(X1,X2),X3)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_146]),c_0_35]) ).
cnf(c_0_157,negated_conjecture,
multiplication(c(esk2_0),addition(multiplication(esk3_0,esk2_0),c(esk3_0))) = multiplication(c(esk2_0),c(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_147]),c_0_27]) ).
cnf(c_0_158,negated_conjecture,
multiplication(esk3_0,multiplication(c(esk2_0),c(esk3_0))) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_149]),c_0_150]),c_0_151]),c_0_38])]) ).
cnf(c_0_159,negated_conjecture,
multiplication(esk3_0,multiplication(esk2_0,esk3_0)) = multiplication(esk3_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_152]),c_0_153]),c_0_133]),c_0_153]),c_0_101])]) ).
cnf(c_0_160,negated_conjecture,
addition(multiplication(esk2_0,esk3_0),multiplication(esk3_0,esk2_0)) = multiplication(esk3_0,esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_154]),c_0_27]),c_0_68]),c_0_60]),c_0_27]) ).
cnf(c_0_161,negated_conjecture,
multiplication(c(esk3_0),multiplication(esk3_0,X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_90]),c_0_109]) ).
cnf(c_0_162,plain,
( ~ test(X1)
| multiplication(X1,multiplication(addition(X2,c(X1)),X3)) = multiplication(X1,multiplication(X2,X3)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_31]),c_0_35]) ).
fof(c_0_163,plain,
! [X24] : multiplication(X24,zero) = zero,
inference(variable_rename,[status(thm)],[right_annihilation]) ).
cnf(c_0_164,negated_conjecture,
addition(one,esk1_1(esk3_0)) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_57]),c_0_48]),c_0_38])]) ).
cnf(c_0_165,negated_conjecture,
multiplication(esk1_1(esk3_0),c(esk3_0)) = esk1_1(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_95]),c_0_33]),c_0_38])]) ).
cnf(c_0_166,negated_conjecture,
( multiplication(addition(multiplication(esk3_0,esk2_0),c(esk3_0)),multiplication(esk3_0,c(esk2_0))) != zero
| test(addition(multiplication(esk3_0,esk2_0),c(esk3_0))) ),
inference(cn,[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_158]),c_0_27]),c_0_93]),c_0_33]),c_0_95])]) ).
cnf(c_0_167,negated_conjecture,
multiplication(esk3_0,esk2_0) = multiplication(esk2_0,esk3_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_159]),c_0_27]),c_0_71]),c_0_60]),c_0_160]) ).
cnf(c_0_168,negated_conjecture,
multiplication(addition(X1,c(esk3_0)),multiplication(esk3_0,X2)) = multiplication(X1,multiplication(esk3_0,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_161]),c_0_25]) ).
cnf(c_0_169,negated_conjecture,
multiplication(esk2_0,multiplication(esk3_0,c(esk2_0))) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_126]),c_0_54]),c_0_133]),c_0_37])]) ).
cnf(c_0_170,plain,
multiplication(X1,zero) = zero,
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_171,negated_conjecture,
addition(one,addition(esk1_1(esk3_0),X1)) = addition(one,X1),
inference(spm,[status(thm)],[c_0_47,c_0_164]) ).
cnf(c_0_172,negated_conjecture,
( ~ test(addition(esk2_0,X1))
| addition(one,addition(X1,c(addition(esk2_0,X1)))) = one ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_78]),c_0_48]) ).
cnf(c_0_173,negated_conjecture,
esk1_1(esk3_0) = c(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_57]),c_0_60]),c_0_165]),c_0_38])]) ).
cnf(c_0_174,negated_conjecture,
test(addition(esk2_0,c(esk3_0))),
inference(cn,[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_166,c_0_167]),c_0_152]),c_0_168]),c_0_35]),c_0_169]),c_0_170])]) ).
cnf(c_0_175,plain,
( ~ test(X1)
| ~ test(multiplication(X1,X2))
| multiplication(X1,multiplication(addition(X2,c(X1)),c(multiplication(X1,X2)))) = zero ),
inference(spm,[status(thm)],[c_0_39,c_0_31]) ).
cnf(c_0_176,negated_conjecture,
addition(one,c(addition(esk2_0,c(esk3_0)))) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_173]),c_0_173]),c_0_174])]) ).
cnf(c_0_177,plain,
( ~ test(multiplication(X1,addition(X2,one)))
| addition(X1,addition(multiplication(X1,X2),c(multiplication(X1,addition(X2,one))))) = one ),
inference(spm,[status(thm)],[c_0_78,c_0_103]) ).
cnf(c_0_178,negated_conjecture,
multiplication(addition(esk2_0,c(esk3_0)),c(addition(esk2_0,c(esk3_0)))) = zero,
inference(cn,[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_175,c_0_176]),c_0_33]),c_0_60]),c_0_33]),c_0_174]),c_0_174])]) ).
cnf(c_0_179,negated_conjecture,
multiplication(addition(esk2_0,X1),c(esk2_0)) = multiplication(X1,c(esk2_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_54]),c_0_55]) ).
cnf(c_0_180,negated_conjecture,
multiplication(esk1_1(esk2_0),c(esk2_0)) = esk1_1(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_93]),c_0_33]),c_0_37])]) ).
cnf(c_0_181,plain,
( ~ test(X1)
| multiplication(X1,addition(esk1_1(X1),X2)) = multiplication(X1,X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_107]),c_0_55]) ).
cnf(c_0_182,negated_conjecture,
multiplication(esk2_0,addition(X1,one)) = multiplication(esk2_0,addition(esk2_0,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_40]),c_0_103]) ).
cnf(c_0_183,negated_conjecture,
addition(esk2_0,addition(c(esk3_0),c(addition(esk2_0,c(esk3_0))))) = one,
inference(cn,[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_177,c_0_178]),c_0_27]),c_0_176]),c_0_33]),c_0_55]),c_0_47]),c_0_27]),c_0_176]),c_0_33]),c_0_174])]) ).
cnf(c_0_184,negated_conjecture,
esk1_1(esk2_0) = c(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_57]),c_0_60]),c_0_180]),c_0_37])]) ).
cnf(c_0_185,plain,
( ~ test(X1)
| multiplication(c(X1),multiplication(X1,X2)) = zero ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_81]),c_0_109]) ).
cnf(c_0_186,negated_conjecture,
multiplication(addition(esk2_0,c(esk3_0)),addition(esk2_0,c(esk3_0))) = addition(esk2_0,c(esk3_0)),
inference(spm,[status(thm)],[c_0_36,c_0_174]) ).
cnf(c_0_187,plain,
addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
inference(spm,[status(thm)],[c_0_27,c_0_47]) ).
cnf(c_0_188,negated_conjecture,
multiplication(esk2_0,addition(multiplication(esk2_0,X1),X2)) = multiplication(esk2_0,addition(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_46]),c_0_23]) ).
cnf(c_0_189,negated_conjecture,
multiplication(esk2_0,addition(esk2_0,esk1_1(esk2_0))) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_33]),c_0_37])]) ).
cnf(c_0_190,plain,
( ~ test(X1)
| addition(multiplication(X1,X2),multiplication(X3,addition(X2,c(X1)))) = multiplication(addition(X1,X3),addition(X2,c(X1))) ),
inference(spm,[status(thm)],[c_0_59,c_0_31]) ).
cnf(c_0_191,negated_conjecture,
multiplication(c(esk2_0),addition(c(esk3_0),c(addition(esk2_0,c(esk3_0))))) = c(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_183]),c_0_33]),c_0_184]),c_0_184]),c_0_37])]) ).
cnf(c_0_192,negated_conjecture,
multiplication(addition(X1,c(esk3_0)),c(esk3_0)) = multiplication(addition(X1,one),c(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_110]),c_0_27]),c_0_66]) ).
cnf(c_0_193,plain,
( multiplication(addition(X2,X3),X1) != zero
| multiplication(X1,addition(X2,X3)) != zero
| addition(X2,addition(X3,X1)) != one
| c(X1) = addition(X2,X3) ),
inference(spm,[status(thm)],[c_0_80,c_0_47]) ).
cnf(c_0_194,negated_conjecture,
multiplication(c(addition(esk2_0,c(esk3_0))),addition(esk2_0,c(esk3_0))) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_174])]) ).
cnf(c_0_195,plain,
( multiplication(X1,addition(X2,X3)) != zero
| multiplication(addition(X2,X3),X1) != zero
| addition(X2,addition(X3,X1)) != one
| test(X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_187]) ).
cnf(c_0_196,plain,
( ~ test(X2)
| multiplication(addition(X1,addition(X2,X3)),c(X2)) = multiplication(addition(X1,X3),c(X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_113]),c_0_59]),c_0_47]) ).
cnf(c_0_197,negated_conjecture,
multiplication(esk2_0,addition(esk2_0,addition(c(esk2_0),X1))) = multiplication(esk2_0,addition(esk2_0,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_47]),c_0_184]) ).
cnf(c_0_198,negated_conjecture,
addition(c(esk3_0),c(addition(esk2_0,c(esk3_0)))) = addition(c(esk2_0),c(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_192]),c_0_27]),c_0_68]),c_0_60]),c_0_27]),c_0_47]),c_0_27]),c_0_128]),c_0_116]),c_0_60]),c_0_174])]) ).
cnf(c_0_199,negated_conjecture,
c(c(addition(esk2_0,c(esk3_0)))) = addition(esk2_0,c(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_183]),c_0_194]),c_0_178])]) ).
cnf(c_0_200,negated_conjecture,
test(c(addition(esk2_0,c(esk3_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_183]),c_0_178]),c_0_194])]) ).
cnf(c_0_201,negated_conjecture,
multiplication(addition(esk2_0,c(addition(esk2_0,c(esk3_0)))),esk3_0) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_183]),c_0_60]),c_0_137]),c_0_137]),c_0_101])]) ).
cnf(c_0_202,negated_conjecture,
multiplication(esk2_0,addition(esk2_0,X1)) = multiplication(esk2_0,addition(one,X1)),
inference(rw,[status(thm)],[c_0_197,c_0_128]) ).
cnf(c_0_203,negated_conjecture,
multiplication(addition(c(esk2_0),c(esk3_0)),addition(esk2_0,c(esk3_0))) = c(esk3_0),
inference(cn,[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_113,c_0_198]),c_0_199]),c_0_199]),c_0_122]),c_0_27]),c_0_68]),c_0_33]),c_0_200])]) ).
cnf(c_0_204,negated_conjecture,
addition(c(esk3_0),multiplication(esk3_0,c(esk2_0))) = addition(c(esk2_0),c(esk3_0)),
inference(cn,[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_190,c_0_136]),c_0_27]),c_0_138]),c_0_27]),c_0_68]),c_0_60]),c_0_38])]) ).
cnf(c_0_205,negated_conjecture,
multiplication(addition(X1,c(esk3_0)),esk3_0) = multiplication(X1,esk3_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_90]),c_0_25]) ).
cnf(c_0_206,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[c_0_56,c_0_27]) ).
cnf(c_0_207,negated_conjecture,
addition(esk2_0,c(addition(esk2_0,c(esk3_0)))) = addition(esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_201]),c_0_199]),c_0_202]),c_0_116]),c_0_33]),c_0_199]),c_0_47]),c_0_27]),c_0_95]),c_0_27]),c_0_68]),c_0_33]),c_0_200])]) ).
cnf(c_0_208,negated_conjecture,
addition(c(esk3_0),multiplication(c(esk2_0),esk3_0)) = addition(c(esk2_0),c(esk3_0)),
inference(cn,[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_125,c_0_203]),c_0_137]),c_0_27]),c_0_137]),c_0_138]),c_0_27]),c_0_68]),c_0_33]),c_0_101])]) ).
cnf(c_0_209,negated_conjecture,
multiplication(esk3_0,multiplication(c(esk2_0),esk3_0)) = multiplication(c(esk2_0),esk3_0),
inference(cn,[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_96,c_0_204]),c_0_137]),c_0_205]),c_0_137]),c_0_35]),c_0_101])]) ).
cnf(c_0_210,negated_conjecture,
multiplication(addition(X1,one),esk3_0) = multiplication(addition(esk3_0,X1),esk3_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_44]),c_0_66]) ).
cnf(c_0_211,negated_conjecture,
addition(esk2_0,addition(esk3_0,c(addition(esk2_0,c(esk3_0))))) = addition(esk2_0,esk3_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_27]),c_0_47]) ).
cnf(c_0_212,negated_conjecture,
multiplication(c(esk2_0),esk3_0) = multiplication(esk3_0,c(esk2_0)),
inference(cn,[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_155,c_0_208]),c_0_153]),c_0_133]),c_0_153]),c_0_209]),c_0_101])]) ).
cnf(c_0_213,plain,
addition(multiplication(X1,X2),addition(multiplication(X3,X2),X4)) = addition(multiplication(addition(X1,X3),X2),X4),
inference(spm,[status(thm)],[c_0_47,c_0_59]) ).
cnf(c_0_214,negated_conjecture,
multiplication(addition(esk3_0,X1),esk3_0) = multiplication(addition(one,X1),esk3_0),
inference(spm,[status(thm)],[c_0_210,c_0_27]) ).
cnf(c_0_215,negated_conjecture,
multiplication(c(esk2_0),addition(esk3_0,c(addition(esk2_0,c(esk3_0))))) = multiplication(esk3_0,c(esk2_0)),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_211]),c_0_184]),c_0_147]),c_0_184]),c_0_37])]),c_0_212]) ).
cnf(c_0_216,negated_conjecture,
addition(multiplication(addition(one,X1),esk3_0),X2) = addition(esk3_0,addition(multiplication(X1,esk3_0),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_44]),c_0_214]) ).
cnf(c_0_217,negated_conjecture,
addition(esk3_0,c(addition(esk2_0,c(esk3_0)))) = addition(multiplication(esk2_0,esk3_0),multiplication(esk3_0,c(esk2_0))),
inference(cn,[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_190,c_0_215]),c_0_205]),c_0_47]),c_0_27]),c_0_128]),c_0_116]),c_0_60]),c_0_174])]) ).
cnf(c_0_218,negated_conjecture,
addition(esk3_0,addition(multiplication(esk2_0,esk3_0),X1)) = addition(esk3_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_68]),c_0_60]) ).
cnf(c_0_219,negated_conjecture,
multiplication(c(esk2_0),multiplication(esk2_0,X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_88]),c_0_109]) ).
cnf(c_0_220,plain,
( ~ test(addition(X2,X1))
| multiplication(X2,addition(X1,c(addition(X2,X1)))) != zero
| multiplication(addition(X1,c(addition(X2,X1))),X2) != zero
| c(addition(X1,c(addition(X2,X1)))) = X2 ),
inference(spm,[status(thm)],[c_0_80,c_0_78]) ).
cnf(c_0_221,negated_conjecture,
addition(multiplication(esk2_0,esk3_0),multiplication(esk3_0,c(esk2_0))) = esk3_0,
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_56,c_0_217]),c_0_218]),c_0_103]),c_0_27]),c_0_123]),c_0_33]) ).
cnf(c_0_222,negated_conjecture,
multiplication(addition(c(esk2_0),X1),multiplication(esk2_0,X2)) = multiplication(X1,multiplication(esk2_0,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_219]),c_0_55]) ).
cnf(c_0_223,negated_conjecture,
multiplication(c(esk3_0),multiplication(esk2_0,esk3_0)) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_167]),c_0_173]),c_0_38])]) ).
cnf(c_0_224,plain,
( ~ test(addition(X2,X1))
| multiplication(addition(X1,c(addition(X2,X1))),X2) != zero
| multiplication(X2,addition(X1,c(addition(X2,X1)))) != zero
| test(addition(X1,c(addition(X2,X1)))) ),
inference(spm,[status(thm)],[c_0_74,c_0_78]) ).
cnf(c_0_225,negated_conjecture,
c(addition(c(esk2_0),c(esk3_0))) = multiplication(esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_27]),c_0_204]),c_0_27]),c_0_204]),c_0_222]),c_0_223]),c_0_27]),c_0_204]),c_0_35]),c_0_133]),c_0_169]),c_0_38])]) ).
cnf(c_0_226,negated_conjecture,
test(addition(c(esk2_0),c(esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_221]),c_0_27]),c_0_204]),c_0_27]),c_0_204]),c_0_35]),c_0_133]),c_0_169]),c_0_27]),c_0_204]),c_0_222]),c_0_223]),c_0_38])]) ).
cnf(c_0_227,negated_conjecture,
c(multiplication(esk2_0,esk3_0)) != addition(c(esk2_0),c(esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_228,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_225]),c_0_226])]),c_0_227]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE016+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 22:40:28 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.45 Running first-order theorem proving
% 0.14/0.45 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
% 56.76/9.02 % Version: 3.5.1
% 56.76/9.02 % Preprocessing class: FSMSSMSSSSSNFFN.
% 56.76/9.02 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 56.76/9.02 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 56.76/9.02 % Starting new_bool_3 with 300s (1) cores
% 56.76/9.02 % Starting new_bool_1 with 300s (1) cores
% 56.76/9.02 % Starting sh5l with 300s (1) cores
% 56.76/9.02 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 350692 completed with status 0
% 56.76/9.02 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 56.76/9.02 % Preprocessing class: FSMSSMSSSSSNFFN.
% 56.76/9.02 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 56.76/9.02 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 56.76/9.02 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 56.76/9.02 % No SInE strategy applied
% 56.76/9.02 % Search class: FGUSM-FFSF21-SFFFFFNN
% 56.76/9.02 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 56.76/9.02 % Starting SubtermCWHack with 136s (1) cores
% 56.76/9.02 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 56.76/9.02 % Starting G-E--_208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 56.76/9.02 % Starting new_bool_3 with 136s (1) cores
% 56.76/9.02 % Starting new_bool_1 with 136s (1) cores
% 56.76/9.02 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 350697 completed with status 0
% 56.76/9.02 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 56.76/9.02 % Preprocessing class: FSMSSMSSSSSNFFN.
% 56.76/9.02 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 56.76/9.02 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 56.76/9.02 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 56.76/9.02 % No SInE strategy applied
% 56.76/9.02 % Search class: FGUSM-FFSF21-SFFFFFNN
% 56.76/9.02 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 56.76/9.02 % Starting SubtermCWHack with 136s (1) cores
% 56.76/9.02 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 56.76/9.02 % Preprocessing time : 0.002 s
% 56.76/9.02 % Presaturation interreduction done
% 56.76/9.02
% 56.76/9.02 % Proof found!
% 56.76/9.02 % SZS status Theorem
% 56.76/9.02 % SZS output start CNFRefutation
% See solution above
% 56.76/9.02 % Parsed axioms : 17
% 56.76/9.02 % Removed by relevancy pruning/SinE : 0
% 56.76/9.02 % Initial clauses : 25
% 56.76/9.02 % Removed in clause preprocessing : 0
% 56.76/9.02 % Initial clauses in saturation : 25
% 56.76/9.02 % Processed clauses : 10827
% 56.76/9.02 % ...of these trivial : 892
% 56.76/9.02 % ...subsumed : 8264
% 56.76/9.02 % ...remaining for further processing : 1671
% 56.76/9.02 % Other redundant clauses eliminated : 636
% 56.76/9.02 % Clauses deleted for lack of memory : 0
% 56.76/9.02 % Backward-subsumed : 326
% 56.76/9.02 % Backward-rewritten : 411
% 56.76/9.02 % Generated clauses : 264829
% 56.76/9.02 % ...of the previous two non-redundant : 222655
% 56.76/9.02 % ...aggressively subsumed : 0
% 56.76/9.02 % Contextual simplify-reflections : 145
% 56.76/9.02 % Paramodulations : 264193
% 56.76/9.02 % Factorizations : 0
% 56.76/9.02 % NegExts : 0
% 56.76/9.02 % Equation resolutions : 636
% 56.76/9.02 % Disequality decompositions : 0
% 56.76/9.02 % Total rewrite steps : 384229
% 56.76/9.02 % ...of those cached : 334364
% 56.76/9.02 % Propositional unsat checks : 0
% 56.76/9.02 % Propositional check models : 0
% 56.76/9.02 % Propositional check unsatisfiable : 0
% 56.76/9.02 % Propositional clauses : 0
% 56.76/9.02 % Propositional clauses after purity: 0
% 56.76/9.02 % Propositional unsat core size : 0
% 56.76/9.02 % Propositional preprocessing time : 0.000
% 56.76/9.02 % Propositional encoding time : 0.000
% 56.76/9.02 % Propositional solver time : 0.000
% 56.76/9.02 % Success case prop preproc time : 0.000
% 56.76/9.02 % Success case prop encoding time : 0.000
% 56.76/9.02 % Success case prop solver time : 0.000
% 56.76/9.02 % Current number of processed clauses : 908
% 56.76/9.02 % Positive orientable unit clauses : 308
% 56.76/9.02 % Positive unorientable unit clauses: 20
% 56.76/9.02 % Negative unit clauses : 23
% 56.76/9.02 % Non-unit-clauses : 557
% 56.76/9.02 % Current number of unprocessed clauses: 208684
% 56.76/9.02 % ...number of literals in the above : 514977
% 56.76/9.02 % Current number of archived formulas : 0
% 56.76/9.02 % Current number of archived clauses : 762
% 56.76/9.02 % Clause-clause subsumption calls (NU) : 92228
% 56.76/9.02 % Rec. Clause-clause subsumption calls : 84406
% 56.76/9.02 % Non-unit clause-clause subsumptions : 5859
% 56.76/9.02 % Unit Clause-clause subsumption calls : 18670
% 56.76/9.02 % Rewrite failures with RHS unbound : 0
% 56.76/9.02 % BW rewrite match attempts : 608
% 56.76/9.02 % BW rewrite match successes : 204
% 56.76/9.02 % Condensation attempts : 0
% 56.76/9.02 % Condensation successes : 0
% 56.76/9.02 % Termbank termtop insertions : 5231100
% 56.76/9.02 % Search garbage collected termcells : 174
% 56.76/9.02
% 56.76/9.02 % -------------------------------------------------
% 56.76/9.02 % User time : 7.834 s
% 56.76/9.02 % System time : 0.339 s
% 56.76/9.02 % Total time : 8.173 s
% 56.76/9.02 % Maximum resident set size: 3648 pages
% 56.76/9.02
% 56.76/9.02 % -------------------------------------------------
% 56.76/9.02 % User time : 39.170 s
% 56.76/9.02 % System time : 1.687 s
% 56.76/9.02 % Total time : 40.857 s
% 56.76/9.02 % Maximum resident set size: 4608 pages
% 56.76/9.02 % E exiting
%------------------------------------------------------------------------------