TSTP Solution File: KLE014+2 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : KLE014+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:03:51 EDT 2023
% Result : Theorem 145.35s 18.86s
% Output : CNFRefutation 145.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 14
% Syntax : Number of formulae : 241 ( 165 unt; 0 def)
% Number of atoms : 354 ( 251 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 213 ( 100 ~; 96 |; 11 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 5 ( 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 : 267 ( 7 sgn; 54 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(test_3,axiom,
! [X4,X5] :
( test(X4)
=> ( c(X4) = X5
<=> complement(X4,X5) ) ),
file('/export/starexec/sandbox2/tmp/tmp.t0UDpvIU6g/E---3.1_25572.p',test_3) ).
fof(test_2,axiom,
! [X4,X5] :
( complement(X5,X4)
<=> ( multiplication(X4,X5) = zero
& multiplication(X5,X4) = zero
& addition(X4,X5) = one ) ),
file('/export/starexec/sandbox2/tmp/tmp.t0UDpvIU6g/E---3.1_25572.p',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/tmp/tmp.t0UDpvIU6g/E---3.1_25572.p',right_distributivity) ).
fof(additive_identity,axiom,
! [X1] : addition(X1,zero) = X1,
file('/export/starexec/sandbox2/tmp/tmp.t0UDpvIU6g/E---3.1_25572.p',additive_identity) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/tmp/tmp.t0UDpvIU6g/E---3.1_25572.p',additive_commutativity) ).
fof(additive_associativity,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/export/starexec/sandbox2/tmp/tmp.t0UDpvIU6g/E---3.1_25572.p',additive_associativity) ).
fof(additive_idempotence,axiom,
! [X1] : addition(X1,X1) = X1,
file('/export/starexec/sandbox2/tmp/tmp.t0UDpvIU6g/E---3.1_25572.p',additive_idempotence) ).
fof(test_1,axiom,
! [X4] :
( test(X4)
<=> ? [X5] : complement(X5,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.t0UDpvIU6g/E---3.1_25572.p',test_1) ).
fof(multiplicative_right_identity,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/export/starexec/sandbox2/tmp/tmp.t0UDpvIU6g/E---3.1_25572.p',multiplicative_right_identity) ).
fof(goals,conjecture,
! [X4,X5] :
( ( test(X5)
& test(X4) )
=> c(addition(X4,X5)) = multiplication(c(X4),c(X5)) ),
file('/export/starexec/sandbox2/tmp/tmp.t0UDpvIU6g/E---3.1_25572.p',goals) ).
fof(multiplicative_associativity,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/export/starexec/sandbox2/tmp/tmp.t0UDpvIU6g/E---3.1_25572.p',multiplicative_associativity) ).
fof(left_annihilation,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/export/starexec/sandbox2/tmp/tmp.t0UDpvIU6g/E---3.1_25572.p',left_annihilation) ).
fof(left_distributivity,axiom,
! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/export/starexec/sandbox2/tmp/tmp.t0UDpvIU6g/E---3.1_25572.p',left_distributivity) ).
fof(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox2/tmp/tmp.t0UDpvIU6g/E---3.1_25572.p',multiplicative_left_identity) ).
fof(c_0_14,plain,
! [X34,X35] :
( ( c(X34) != X35
| complement(X34,X35)
| ~ test(X34) )
& ( ~ complement(X34,X35)
| c(X34) = X35
| ~ test(X34) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_3])])]) ).
fof(c_0_15,plain,
! [X32,X33] :
( ( multiplication(X32,X33) = zero
| ~ complement(X33,X32) )
& ( multiplication(X33,X32) = zero
| ~ complement(X33,X32) )
& ( addition(X32,X33) = one
| ~ complement(X33,X32) )
& ( multiplication(X32,X33) != zero
| multiplication(X33,X32) != zero
| addition(X32,X33) != one
| complement(X33,X32) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_2])])]) ).
cnf(c_0_16,plain,
( complement(X1,X2)
| c(X1) != X2
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_17,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_18,plain,
( multiplication(X1,X2) = zero
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,plain,
( complement(X1,c(X1))
| ~ test(X1) ),
inference(er,[status(thm)],[c_0_16]) ).
fof(c_0_20,plain,
! [X11] : addition(X11,zero) = X11,
inference(variable_rename,[status(thm)],[additive_identity]) ).
fof(c_0_21,plain,
! [X6,X7] : addition(X6,X7) = addition(X7,X6),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
fof(c_0_22,plain,
! [X8,X9,X10] : addition(X10,addition(X9,X8)) = addition(addition(X10,X9),X8),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
fof(c_0_23,plain,
! [X12] : addition(X12,X12) = X12,
inference(variable_rename,[status(thm)],[additive_idempotence]) ).
fof(c_0_24,plain,
! [X28,X30,X31] :
( ( ~ test(X28)
| complement(esk1_1(X28),X28) )
& ( ~ complement(X31,X30)
| test(X30) ) ),
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_25,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,plain,
( multiplication(X1,c(X1)) = zero
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_27,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,plain,
( addition(X1,X2) = one
| ~ complement(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_29,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_30,plain,
! [X16] : multiplication(X16,one) = X16,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
fof(c_0_31,negated_conjecture,
~ ! [X4,X5] :
( ( test(X5)
& test(X4) )
=> c(addition(X4,X5)) = multiplication(c(X4),c(X5)) ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_32,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_34,plain,
( complement(esk1_1(X1),X1)
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_35,plain,
! [X13,X14,X15] : multiplication(X13,multiplication(X14,X15)) = multiplication(multiplication(X13,X14),X15),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
cnf(c_0_36,plain,
( multiplication(X1,X2) = zero
| ~ complement(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_37,plain,
! [X25] : multiplication(zero,X25) = zero,
inference(variable_rename,[status(thm)],[left_annihilation]) ).
cnf(c_0_38,plain,
( multiplication(X1,addition(X2,c(X1))) = multiplication(X1,X2)
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_39,plain,
( addition(X1,c(X1)) = one
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_19]),c_0_29]) ).
cnf(c_0_40,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_41,negated_conjecture,
( test(esk3_0)
& test(esk2_0)
& c(addition(esk2_0,esk3_0)) != multiplication(c(esk2_0),c(esk3_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])]) ).
cnf(c_0_42,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_43,plain,
( addition(X1,esk1_1(X1)) = one
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_34]) ).
cnf(c_0_44,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_45,plain,
( multiplication(c(X1),X1) = zero
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_19]) ).
cnf(c_0_46,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_47,plain,
( multiplication(X1,X1) = X1
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).
cnf(c_0_48,negated_conjecture,
test(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_49,plain,
( addition(X1,one) = one
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_50,plain,
( test(X2)
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_51,plain,
( complement(X2,X1)
| multiplication(X1,X2) != zero
| multiplication(X2,X1) != zero
| addition(X1,X2) != one ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_52,plain,
( multiplication(c(X1),multiplication(X1,X2)) = zero
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).
cnf(c_0_53,negated_conjecture,
multiplication(esk2_0,esk2_0) = esk2_0,
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_54,negated_conjecture,
addition(esk2_0,one) = one,
inference(spm,[status(thm)],[c_0_49,c_0_48]) ).
cnf(c_0_55,plain,
( test(X1)
| addition(X1,X2) != one
| multiplication(X2,X1) != zero
| multiplication(X1,X2) != zero ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_56,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_57,plain,
! [X17] : multiplication(one,X17) = X17,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
cnf(c_0_58,negated_conjecture,
multiplication(c(esk2_0),esk2_0) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_48])]) ).
cnf(c_0_59,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_27,c_0_29]) ).
cnf(c_0_60,negated_conjecture,
addition(esk2_0,addition(one,X1)) = addition(one,X1),
inference(spm,[status(thm)],[c_0_32,c_0_54]) ).
cnf(c_0_61,plain,
( c(X1) = X2
| ~ complement(X1,X2)
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_62,plain,
( test(X1)
| addition(X2,X1) != one
| multiplication(X2,X1) != zero
| multiplication(X1,X2) != zero ),
inference(spm,[status(thm)],[c_0_55,c_0_29]) ).
cnf(c_0_63,negated_conjecture,
test(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_64,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_65,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_66,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_25,c_0_58]),c_0_59]) ).
cnf(c_0_67,negated_conjecture,
addition(esk2_0,addition(X1,one)) = addition(X1,one),
inference(spm,[status(thm)],[c_0_60,c_0_29]) ).
cnf(c_0_68,plain,
( addition(X1,addition(c(X1),X2)) = addition(one,X2)
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_39]) ).
cnf(c_0_69,plain,
( c(X1) = X2
| addition(X2,X1) != one
| multiplication(X1,X2) != zero
| multiplication(X2,X1) != zero ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_51]),c_0_62]) ).
cnf(c_0_70,negated_conjecture,
multiplication(esk3_0,esk3_0) = esk3_0,
inference(spm,[status(thm)],[c_0_47,c_0_63]) ).
cnf(c_0_71,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_40]),c_0_29]) ).
cnf(c_0_72,plain,
addition(X1,addition(X2,X3)) = addition(X2,addition(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_29]),c_0_32]) ).
cnf(c_0_73,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_29]) ).
cnf(c_0_74,negated_conjecture,
multiplication(c(esk2_0),esk1_1(esk2_0)) = c(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_43]),c_0_40]),c_0_48])]) ).
cnf(c_0_75,negated_conjecture,
addition(one,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_67,c_0_68]),c_0_33]),c_0_29]),c_0_48])]) ).
cnf(c_0_76,plain,
( c(c(X1)) = X1
| ~ test(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_39]),c_0_26]),c_0_45]) ).
cnf(c_0_77,plain,
( c(esk1_1(X1)) = X1
| ~ test(esk1_1(X1))
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_34]) ).
cnf(c_0_78,plain,
( multiplication(esk1_1(X1),X1) = zero
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_34]) ).
cnf(c_0_79,plain,
( multiplication(X1,esk1_1(X1)) = zero
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_34]) ).
cnf(c_0_80,plain,
addition(multiplication(X1,X2),addition(multiplication(X1,X3),X4)) = addition(multiplication(X1,addition(X2,X3)),X4),
inference(spm,[status(thm)],[c_0_32,c_0_25]) ).
cnf(c_0_81,negated_conjecture,
multiplication(esk3_0,addition(X1,one)) = multiplication(esk3_0,addition(X1,esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_70]),c_0_29]),c_0_71]) ).
cnf(c_0_82,plain,
( addition(X1,addition(X2,esk1_1(X1))) = addition(X2,one)
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_43]) ).
cnf(c_0_83,negated_conjecture,
addition(c(esk2_0),esk1_1(esk2_0)) = esk1_1(esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_29]),c_0_29]),c_0_75]),c_0_65]) ).
cnf(c_0_84,plain,
( esk1_1(X1) = c(X1)
| ~ test(esk1_1(X1))
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_85,plain,
( test(esk1_1(X1))
| ~ test(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_43]),c_0_78]),c_0_79]) ).
cnf(c_0_86,plain,
( multiplication(X1,multiplication(X2,c(multiplication(X1,X2)))) = zero
| ~ test(multiplication(X1,X2)) ),
inference(spm,[status(thm)],[c_0_26,c_0_44]) ).
cnf(c_0_87,plain,
( addition(multiplication(X1,addition(X2,X3)),c(multiplication(X1,X3))) = addition(one,multiplication(X1,X2))
| ~ test(multiplication(X1,X3)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_39]),c_0_29]) ).
cnf(c_0_88,negated_conjecture,
multiplication(esk3_0,addition(esk2_0,esk3_0)) = esk3_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_54]),c_0_40]) ).
cnf(c_0_89,negated_conjecture,
addition(esk3_0,one) = one,
inference(spm,[status(thm)],[c_0_49,c_0_63]) ).
cnf(c_0_90,negated_conjecture,
addition(esk2_0,esk1_1(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_82,c_0_83]),c_0_29]),c_0_75]),c_0_48])]) ).
cnf(c_0_91,plain,
( esk1_1(X1) = c(X1)
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_92,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_86,c_0_53]),c_0_48])]) ).
cnf(c_0_93,negated_conjecture,
multiplication(esk2_0,multiplication(esk2_0,X1)) = multiplication(esk2_0,X1),
inference(spm,[status(thm)],[c_0_44,c_0_53]) ).
cnf(c_0_94,negated_conjecture,
multiplication(c(esk3_0),esk3_0) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_70]),c_0_63])]) ).
cnf(c_0_95,plain,
addition(multiplication(X1,X2),multiplication(X3,multiplication(X4,X2))) = multiplication(addition(X1,multiplication(X3,X4)),X2),
inference(spm,[status(thm)],[c_0_64,c_0_44]) ).
cnf(c_0_96,plain,
addition(X1,multiplication(X2,multiplication(X3,X1))) = multiplication(addition(one,multiplication(X2,X3)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_44]),c_0_29]) ).
cnf(c_0_97,plain,
( addition(X1,addition(X2,c(X1))) = addition(X2,one)
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_39]) ).
cnf(c_0_98,negated_conjecture,
addition(esk3_0,c(esk3_0)) = addition(one,multiplication(esk3_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_87,c_0_88]),c_0_70]),c_0_70]),c_0_63])]) ).
cnf(c_0_99,negated_conjecture,
addition(esk3_0,addition(one,X1)) = addition(one,X1),
inference(spm,[status(thm)],[c_0_32,c_0_89]) ).
cnf(c_0_100,negated_conjecture,
multiplication(addition(c(esk2_0),X1),esk2_0) = multiplication(X1,esk2_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_58]),c_0_59]) ).
cnf(c_0_101,negated_conjecture,
addition(esk2_0,c(esk2_0)) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_48])]) ).
cnf(c_0_102,negated_conjecture,
multiplication(esk2_0,c(esk2_0)) = zero,
inference(rw,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_103,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_25,c_0_53]),c_0_71]) ).
cnf(c_0_104,plain,
( multiplication(X1,multiplication(X2,esk1_1(multiplication(X1,X2)))) = zero
| ~ test(multiplication(X1,X2)) ),
inference(spm,[status(thm)],[c_0_44,c_0_79]) ).
cnf(c_0_105,plain,
( multiplication(esk1_1(X1),multiplication(X1,X2)) = zero
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_78]),c_0_46]) ).
cnf(c_0_106,negated_conjecture,
multiplication(addition(X1,c(esk3_0)),esk3_0) = multiplication(X1,esk3_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_94]),c_0_27]) ).
cnf(c_0_107,negated_conjecture,
multiplication(addition(one,multiplication(X1,X2)),esk3_0) = multiplication(addition(esk3_0,multiplication(X1,X2)),esk3_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_70]),c_0_96]) ).
cnf(c_0_108,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_66,c_0_39]),c_0_40]),c_0_48])]) ).
cnf(c_0_109,negated_conjecture,
addition(one,multiplication(esk3_0,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_97,c_0_98]),c_0_99]),c_0_89]),c_0_63])]) ).
cnf(c_0_110,negated_conjecture,
multiplication(c(esk3_0),addition(esk3_0,X1)) = multiplication(c(esk3_0),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_94]),c_0_59]) ).
cnf(c_0_111,negated_conjecture,
( multiplication(esk1_1(c(esk2_0)),esk2_0) = esk2_0
| ~ test(c(esk2_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_43]),c_0_65]) ).
cnf(c_0_112,negated_conjecture,
test(c(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_101]),c_0_102]),c_0_58])]) ).
cnf(c_0_113,plain,
( addition(X1,addition(c(X2),multiplication(X2,X1))) = multiplication(addition(X2,one),addition(X1,c(X2)))
| ~ test(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_38]),c_0_32]) ).
cnf(c_0_114,negated_conjecture,
multiplication(esk2_0,addition(esk2_0,esk3_0)) = esk2_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_89]),c_0_40]) ).
cnf(c_0_115,plain,
( c(X1) = X2
| addition(X1,X2) != one
| multiplication(X1,X2) != zero
| multiplication(X2,X1) != zero ),
inference(spm,[status(thm)],[c_0_69,c_0_29]) ).
cnf(c_0_116,negated_conjecture,
multiplication(esk2_0,esk1_1(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_93,c_0_104]),c_0_53]),c_0_53]),c_0_48])]) ).
cnf(c_0_117,negated_conjecture,
multiplication(esk1_1(esk2_0),esk2_0) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_53]),c_0_48])]) ).
cnf(c_0_118,negated_conjecture,
addition(X1,addition(c(esk3_0),multiplication(X1,esk3_0))) = addition(X1,c(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_106]),c_0_32]),c_0_89]),c_0_40]) ).
cnf(c_0_119,negated_conjecture,
multiplication(addition(esk3_0,c(esk2_0)),esk3_0) = esk3_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_75]),c_0_65]) ).
cnf(c_0_120,plain,
( multiplication(addition(X1,X2),esk1_1(X1)) = multiplication(X2,esk1_1(X1))
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_79]),c_0_59]) ).
cnf(c_0_121,negated_conjecture,
addition(esk3_0,c(esk3_0)) = one,
inference(rw,[status(thm)],[c_0_98,c_0_109]) ).
cnf(c_0_122,negated_conjecture,
multiplication(c(esk3_0),esk1_1(esk3_0)) = c(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_43]),c_0_40]),c_0_63])]) ).
cnf(c_0_123,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_86,c_0_70]),c_0_63])]) ).
cnf(c_0_124,negated_conjecture,
multiplication(esk3_0,multiplication(esk3_0,X1)) = multiplication(esk3_0,X1),
inference(spm,[status(thm)],[c_0_44,c_0_70]) ).
cnf(c_0_125,negated_conjecture,
multiplication(esk1_1(c(esk2_0)),esk2_0) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_112])]) ).
cnf(c_0_126,plain,
( multiplication(esk1_1(X1),addition(X1,X2)) = multiplication(esk1_1(X1),X2)
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_78]),c_0_59]) ).
cnf(c_0_127,negated_conjecture,
addition(esk2_0,addition(esk3_0,c(esk2_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_113,c_0_114]),c_0_29]),c_0_101]),c_0_32]),c_0_89]),c_0_54]),c_0_54]),c_0_32]),c_0_65]),c_0_48])]) ).
cnf(c_0_128,negated_conjecture,
esk1_1(esk2_0) = c(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_90]),c_0_116]),c_0_117])]) ).
cnf(c_0_129,negated_conjecture,
multiplication(addition(c(esk3_0),X1),esk3_0) = multiplication(X1,esk3_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_94]),c_0_59]) ).
cnf(c_0_130,negated_conjecture,
addition(esk3_0,addition(X1,one)) = addition(X1,one),
inference(spm,[status(thm)],[c_0_99,c_0_29]) ).
cnf(c_0_131,plain,
( multiplication(X1,addition(c(X1),X2)) = multiplication(X1,X2)
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_59]) ).
cnf(c_0_132,negated_conjecture,
addition(esk3_0,addition(c(esk2_0),c(esk3_0))) = 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(spm,[status(thm)],[c_0_118,c_0_119]),c_0_29]),c_0_98]),c_0_109]),c_0_32]),c_0_29]),c_0_75]),c_0_89]),c_0_32]) ).
cnf(c_0_133,negated_conjecture,
esk1_1(esk3_0) = c(esk3_0),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_65]),c_0_63])]),c_0_122]) ).
cnf(c_0_134,negated_conjecture,
multiplication(esk3_0,c(esk3_0)) = zero,
inference(rw,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_135,plain,
( multiplication(addition(X1,X2),c(X2)) = multiplication(X1,c(X2))
| ~ test(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_26]),c_0_27]) ).
cnf(c_0_136,plain,
( multiplication(addition(X1,X2),c(X1)) = multiplication(X2,c(X1))
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_26]),c_0_59]) ).
cnf(c_0_137,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(spm,[status(thm)],[c_0_71,c_0_125]),c_0_54]),c_0_40]),c_0_29]) ).
cnf(c_0_138,plain,
( multiplication(X1,addition(esk1_1(X1),X2)) = multiplication(X1,X2)
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_79]),c_0_59]) ).
cnf(c_0_139,negated_conjecture,
multiplication(c(esk2_0),addition(X1,esk2_0)) = multiplication(c(esk2_0),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_58]),c_0_27]) ).
cnf(c_0_140,plain,
( multiplication(addition(X1,esk1_1(X2)),X2) = multiplication(X1,X2)
| ~ test(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_78]),c_0_27]) ).
cnf(c_0_141,plain,
( addition(multiplication(X1,X2),multiplication(X3,addition(X2,c(X1)))) = multiplication(addition(X1,X3),addition(X2,c(X1)))
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_38]) ).
cnf(c_0_142,negated_conjecture,
multiplication(c(esk2_0),addition(esk3_0,c(esk2_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_126,c_0_127]),c_0_40]),c_0_128]),c_0_128]),c_0_48])]) ).
cnf(c_0_143,negated_conjecture,
addition(multiplication(X1,esk3_0),multiplication(addition(c(esk3_0),X1),X2)) = multiplication(addition(c(esk3_0),X1),addition(esk3_0,X2)),
inference(spm,[status(thm)],[c_0_25,c_0_129]) ).
cnf(c_0_144,negated_conjecture,
multiplication(addition(X1,one),esk2_0) = multiplication(addition(X1,esk2_0),esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_53]),c_0_29]),c_0_73]) ).
cnf(c_0_145,negated_conjecture,
addition(one,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_130,c_0_68]),c_0_33]),c_0_29]),c_0_63])]) ).
cnf(c_0_146,plain,
( addition(multiplication(X1,X2),multiplication(X3,addition(c(X1),X2))) = multiplication(addition(X1,X3),addition(c(X1),X2))
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_131]) ).
cnf(c_0_147,negated_conjecture,
multiplication(c(esk3_0),addition(c(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(spm,[status(thm)],[c_0_126,c_0_132]),c_0_40]),c_0_133]),c_0_133]),c_0_63])]) ).
cnf(c_0_148,negated_conjecture,
( c(c(esk3_0)) = esk3_0
| addition(one,multiplication(esk3_0,esk2_0)) != one ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_98]),c_0_94]),c_0_134])]) ).
cnf(c_0_149,negated_conjecture,
( test(c(esk3_0))
| addition(one,multiplication(esk3_0,esk2_0)) != one ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_98]),c_0_134]),c_0_94])]) ).
cnf(c_0_150,plain,
( addition(multiplication(X1,c(X2)),multiplication(addition(X1,X2),X3)) = multiplication(addition(X1,X2),addition(c(X2),X3))
| ~ test(X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_135]) ).
cnf(c_0_151,negated_conjecture,
multiplication(addition(esk3_0,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_136,c_0_127]),c_0_65]),c_0_48])]) ).
cnf(c_0_152,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_69,c_0_101]),c_0_58]),c_0_102])]) ).
cnf(c_0_153,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(spm,[status(thm)],[c_0_82,c_0_137]),c_0_54]),c_0_112])]) ).
cnf(c_0_154,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_138,c_0_139]),c_0_58]),c_0_112])]) ).
cnf(c_0_155,negated_conjecture,
multiplication(esk1_1(c(esk2_0)),c(esk2_0)) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_137]),c_0_102]),c_0_112])]) ).
cnf(c_0_156,negated_conjecture,
addition(multiplication(esk2_0,esk3_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(spm,[status(thm)],[c_0_141,c_0_142]),c_0_101]),c_0_65]),c_0_48])]) ).
cnf(c_0_157,negated_conjecture,
multiplication(addition(X1,c(esk2_0)),esk2_0) = multiplication(X1,esk2_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_58]),c_0_27]) ).
cnf(c_0_158,plain,
addition(multiplication(X1,X2),addition(multiplication(X3,X2),X4)) = addition(multiplication(addition(X1,X3),X2),X4),
inference(spm,[status(thm)],[c_0_32,c_0_64]) ).
cnf(c_0_159,negated_conjecture,
multiplication(addition(X1,one),esk3_0) = multiplication(addition(X1,esk3_0),esk3_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_70]),c_0_29]),c_0_73]) ).
cnf(c_0_160,negated_conjecture,
addition(esk3_0,multiplication(addition(esk2_0,c(esk3_0)),esk2_0)) = addition(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(spm,[status(thm)],[c_0_143,c_0_144]),c_0_65]),c_0_29]),c_0_29]),c_0_145]),c_0_29]),c_0_65]) ).
cnf(c_0_161,negated_conjecture,
multiplication(addition(X1,esk3_0),c(esk3_0)) = multiplication(X1,c(esk3_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_134]),c_0_27]) ).
cnf(c_0_162,negated_conjecture,
multiplication(addition(esk2_0,c(esk3_0)),addition(c(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(spm,[status(thm)],[c_0_146,c_0_147]),c_0_29]),c_0_73]),c_0_54]),c_0_65]),c_0_48])]) ).
cnf(c_0_163,negated_conjecture,
c(c(esk3_0)) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_109])]) ).
cnf(c_0_164,negated_conjecture,
test(c(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_109])]) ).
cnf(c_0_165,plain,
( multiplication(esk1_1(X1),addition(X2,X1)) = multiplication(esk1_1(X1),X2)
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_78]),c_0_27]) ).
cnf(c_0_166,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_152]),c_0_29]),c_0_152]),c_0_29]),c_0_101]),c_0_40]),c_0_112])]) ).
cnf(c_0_167,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_115,c_0_153]),c_0_152]),c_0_154]),c_0_155])]) ).
cnf(c_0_168,negated_conjecture,
multiplication(esk2_0,addition(X1,c(esk2_0))) = multiplication(esk2_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_102]),c_0_27]) ).
cnf(c_0_169,negated_conjecture,
multiplication(esk2_0,multiplication(esk3_0,esk2_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_156]),c_0_152]),c_0_157]),c_0_152]),c_0_44]),c_0_112])]) ).
cnf(c_0_170,plain,
( addition(multiplication(addition(X1,X2),X3),esk1_1(multiplication(X2,X3))) = addition(one,multiplication(X1,X3))
| ~ test(multiplication(X2,X3)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_43]),c_0_29]) ).
cnf(c_0_171,negated_conjecture,
multiplication(addition(esk2_0,esk3_0),esk3_0) = esk3_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_54]),c_0_65]) ).
cnf(c_0_172,negated_conjecture,
addition(multiplication(X1,esk3_0),multiplication(addition(X1,c(esk3_0)),X2)) = multiplication(addition(X1,c(esk3_0)),addition(esk3_0,X2)),
inference(spm,[status(thm)],[c_0_25,c_0_106]) ).
cnf(c_0_173,negated_conjecture,
multiplication(addition(esk2_0,c(esk3_0)),multiplication(esk2_0,c(esk3_0))) = multiplication(esk2_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_136,c_0_160]),c_0_161]),c_0_44]),c_0_63])]) ).
cnf(c_0_174,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_25,c_0_93]),c_0_25]) ).
cnf(c_0_175,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(spm,[status(thm)],[c_0_150,c_0_162]),c_0_163]),c_0_163]),c_0_132]),c_0_40]),c_0_164])]) ).
cnf(c_0_176,negated_conjecture,
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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_167]),c_0_168]),c_0_167]),c_0_169]),c_0_112])]) ).
cnf(c_0_177,negated_conjecture,
addition(one,multiplication(esk2_0,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(spm,[status(thm)],[c_0_170,c_0_171]),c_0_70]),c_0_133]),c_0_98]),c_0_109]),c_0_70]),c_0_63])]) ).
cnf(c_0_178,negated_conjecture,
multiplication(addition(esk2_0,c(esk3_0)),addition(esk3_0,multiplication(esk2_0,c(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_172,c_0_173]),c_0_25]),c_0_98]),c_0_109]),c_0_40]) ).
cnf(c_0_179,negated_conjecture,
multiplication(esk2_0,addition(esk2_0,c(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_174,c_0_175]),c_0_98]),c_0_176]),c_0_177]),c_0_40]) ).
cnf(c_0_180,negated_conjecture,
addition(esk3_0,multiplication(esk2_0,c(esk3_0))) = addition(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_178]),c_0_32]),c_0_32]),c_0_29]),c_0_145]),c_0_54]),c_0_65]),c_0_29]),c_0_71]),c_0_29]),c_0_145]),c_0_40]),c_0_29]) ).
cnf(c_0_181,negated_conjecture,
multiplication(c(esk3_0),addition(X1,esk3_0)) = multiplication(c(esk3_0),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_94]),c_0_27]) ).
cnf(c_0_182,negated_conjecture,
addition(esk2_0,addition(c(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_179]),c_0_29]),c_0_101]),c_0_32]),c_0_29]),c_0_145]),c_0_54]),c_0_54]),c_0_32]),c_0_29]),c_0_65]),c_0_48])]) ).
cnf(c_0_183,negated_conjecture,
multiplication(c(esk3_0),multiplication(esk2_0,c(esk3_0))) = multiplication(c(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_126,c_0_180]),c_0_133]),c_0_181]),c_0_133]),c_0_63])]) ).
cnf(c_0_184,plain,
( addition(X1,addition(X2,c(addition(X1,X2)))) = one
| ~ test(addition(X1,X2)) ),
inference(spm,[status(thm)],[c_0_32,c_0_39]) ).
cnf(c_0_185,negated_conjecture,
addition(multiplication(X1,esk2_0),multiplication(addition(c(esk2_0),X1),X2)) = multiplication(addition(c(esk2_0),X1),addition(esk2_0,X2)),
inference(spm,[status(thm)],[c_0_25,c_0_100]) ).
cnf(c_0_186,negated_conjecture,
multiplication(addition(c(esk2_0),c(esk3_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_136,c_0_182]),c_0_65]),c_0_48])]) ).
cnf(c_0_187,negated_conjecture,
multiplication(addition(X1,multiplication(X2,esk2_0)),esk2_0) = multiplication(addition(X1,X2),esk2_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_53]),c_0_64]) ).
cnf(c_0_188,negated_conjecture,
addition(multiplication(esk2_0,c(esk3_0)),multiplication(c(esk3_0),esk2_0)) = multiplication(esk2_0,c(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_183]),c_0_29]),c_0_145]),c_0_65]) ).
cnf(c_0_189,plain,
( test(c(X1))
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_19]) ).
cnf(c_0_190,plain,
( multiplication(addition(X1,X2),esk1_1(X2)) = multiplication(X1,esk1_1(X2))
| ~ test(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_79]),c_0_27]) ).
cnf(c_0_191,negated_conjecture,
multiplication(addition(one,multiplication(X1,X2)),esk2_0) = multiplication(addition(esk2_0,multiplication(X1,X2)),esk2_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_53]),c_0_96]) ).
cnf(c_0_192,negated_conjecture,
multiplication(c(esk3_0),c(esk3_0)) = c(esk3_0),
inference(spm,[status(thm)],[c_0_47,c_0_164]) ).
cnf(c_0_193,plain,
( addition(multiplication(X1,c(X2)),multiplication(addition(X2,X1),X3)) = multiplication(addition(X2,X1),addition(c(X2),X3))
| ~ test(X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_136]) ).
cnf(c_0_194,plain,
( multiplication(addition(X1,c(X2)),X2) = multiplication(X1,X2)
| ~ test(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_45]),c_0_27]) ).
cnf(c_0_195,plain,
( multiplication(addition(X1,c(addition(X2,X1))),c(X2)) = c(X2)
| ~ test(addition(X2,X1))
| ~ test(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_184]),c_0_65]) ).
cnf(c_0_196,negated_conjecture,
addition(c(esk2_0),multiplication(c(esk3_0),esk2_0)) = addition(c(esk2_0),c(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_29]),c_0_101]),c_0_40]) ).
cnf(c_0_197,negated_conjecture,
multiplication(esk2_0,addition(c(esk2_0),X1)) = multiplication(esk2_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_102]),c_0_59]) ).
cnf(c_0_198,negated_conjecture,
multiplication(esk2_0,multiplication(c(esk3_0),esk2_0)) = multiplication(c(esk3_0),esk2_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_187,c_0_188]),c_0_44]),c_0_29]),c_0_73]),c_0_54]),c_0_65]) ).
cnf(c_0_199,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[c_0_42,c_0_29]) ).
cnf(c_0_200,negated_conjecture,
addition(multiplication(addition(esk2_0,X1),esk2_0),X2) = addition(esk2_0,addition(multiplication(X1,esk2_0),X2)),
inference(spm,[status(thm)],[c_0_158,c_0_53]) ).
cnf(c_0_201,negated_conjecture,
multiplication(addition(c(esk2_0),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_136,c_0_132]),c_0_65]),c_0_63])]) ).
cnf(c_0_202,plain,
( multiplication(X1,esk1_1(c(X1))) = X1
| ~ test(X1) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_43]),c_0_40]),c_0_189]) ).
cnf(c_0_203,negated_conjecture,
multiplication(esk3_0,esk1_1(c(esk3_0))) = esk1_1(c(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_121]),c_0_65]),c_0_164])]) ).
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_141,c_0_147]),c_0_29]),c_0_98]),c_0_176]),c_0_177]),c_0_65]),c_0_63])]) ).
cnf(c_0_205,negated_conjecture,
multiplication(addition(esk2_0,c(esk3_0)),esk2_0) = esk2_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_145]),c_0_65]) ).
cnf(c_0_206,negated_conjecture,
addition(esk3_0,multiplication(c(esk2_0),c(esk3_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_119]),c_0_29]),c_0_29]),c_0_98]),c_0_176]),c_0_177]),c_0_40]),c_0_63])]) ).
cnf(c_0_207,plain,
addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
inference(spm,[status(thm)],[c_0_29,c_0_32]) ).
cnf(c_0_208,plain,
( addition(multiplication(X1,X2),multiplication(addition(X1,c(X2)),X3)) = multiplication(addition(X1,c(X2)),addition(X2,X3))
| ~ test(X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_194]) ).
cnf(c_0_209,negated_conjecture,
( multiplication(addition(multiplication(esk2_0,c(esk3_0)),c(addition(esk2_0,esk3_0))),c(esk3_0)) = c(esk3_0)
| ~ test(addition(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_180]),c_0_63])]) ).
cnf(c_0_210,negated_conjecture,
multiplication(c(esk3_0),esk2_0) = multiplication(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_126,c_0_196]),c_0_167]),c_0_197]),c_0_167]),c_0_198]),c_0_112])]) ).
cnf(c_0_211,negated_conjecture,
addition(esk2_0,addition(esk3_0,multiplication(c(esk3_0),esk2_0))) = addition(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_199,c_0_160]),c_0_200]),c_0_29]),c_0_32]),c_0_42]) ).
cnf(c_0_212,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_150,c_0_201]),c_0_163]),c_0_29]),c_0_163]),c_0_98]),c_0_176]),c_0_177]),c_0_40]),c_0_164])]) ).
cnf(c_0_213,negated_conjecture,
esk1_1(c(esk3_0)) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_63])]) ).
cnf(c_0_214,negated_conjecture,
multiplication(esk3_0,addition(X1,c(esk3_0))) = multiplication(esk3_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_134]),c_0_27]) ).
cnf(c_0_215,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_136,c_0_204]),c_0_163]),c_0_106]),c_0_163]),c_0_44]),c_0_164])]) ).
cnf(c_0_216,negated_conjecture,
addition(esk2_0,multiplication(c(esk3_0),c(esk2_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(spm,[status(thm)],[c_0_193,c_0_205]),c_0_29]),c_0_29]),c_0_101]),c_0_40]),c_0_48])]) ).
cnf(c_0_217,negated_conjecture,
multiplication(c(esk3_0),multiplication(c(esk2_0),c(esk3_0))) = multiplication(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_126,c_0_206]),c_0_133]),c_0_110]),c_0_133]),c_0_63])]) ).
cnf(c_0_218,plain,
( multiplication(X1,addition(X2,addition(X3,c(X1)))) = multiplication(X1,addition(X2,X3))
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_38]),c_0_25]) ).
cnf(c_0_219,plain,
( multiplication(addition(X1,addition(X2,X3)),c(addition(X1,X2))) = multiplication(X3,c(addition(X1,X2)))
| ~ test(addition(X1,X2)) ),
inference(spm,[status(thm)],[c_0_135,c_0_207]) ).
cnf(c_0_220,plain,
( multiplication(c(X1),addition(multiplication(X1,X2),X3)) = multiplication(c(X1),X3)
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_52]),c_0_59]) ).
cnf(c_0_221,negated_conjecture,
( addition(multiplication(esk2_0,c(esk3_0)),c(addition(esk2_0,esk3_0))) = c(esk3_0)
| ~ test(addition(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(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_208,c_0_209]),c_0_44]),c_0_181]),c_0_210]),c_0_93]),c_0_29]),c_0_73]),c_0_54]),c_0_65]),c_0_32]),c_0_98]),c_0_176]),c_0_177]),c_0_54]),c_0_40]) ).
cnf(c_0_222,plain,
addition(multiplication(X1,X2),addition(X3,multiplication(X1,X4))) = addition(X3,multiplication(X1,addition(X4,X2))),
inference(spm,[status(thm)],[c_0_207,c_0_25]) ).
cnf(c_0_223,negated_conjecture,
multiplication(c(esk2_0),addition(esk3_0,multiplication(c(esk3_0),esk2_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(spm,[status(thm)],[c_0_126,c_0_211]),c_0_128]),c_0_66]),c_0_128]),c_0_48])]) ).
cnf(c_0_224,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_126,c_0_212]),c_0_213]),c_0_214]),c_0_213]),c_0_215]),c_0_164])]) ).
cnf(c_0_225,negated_conjecture,
multiplication(c(esk2_0),multiplication(c(esk3_0),c(esk2_0))) = multiplication(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(spm,[status(thm)],[c_0_126,c_0_216]),c_0_128]),c_0_66]),c_0_128]),c_0_48])]) ).
cnf(c_0_226,negated_conjecture,
addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(c(esk3_0),c(esk2_0))) = multiplication(c(esk2_0),c(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_217]),c_0_29]),c_0_145]),c_0_65]) ).
cnf(c_0_227,negated_conjecture,
multiplication(esk2_0,multiplication(c(esk2_0),X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_102]),c_0_46]) ).
cnf(c_0_228,negated_conjecture,
multiplication(esk3_0,addition(esk3_0,c(esk2_0))) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_132]),c_0_40]),c_0_63])]) ).
cnf(c_0_229,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_64,c_0_134]),c_0_59]) ).
cnf(c_0_230,negated_conjecture,
( multiplication(c(esk2_0),c(addition(esk2_0,esk3_0))) = c(addition(esk2_0,esk3_0))
| ~ test(addition(esk2_0,esk3_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_127]),c_0_65]) ).
cnf(c_0_231,negated_conjecture,
( multiplication(c(esk2_0),c(addition(esk2_0,esk3_0))) = multiplication(c(esk2_0),c(esk3_0))
| ~ test(addition(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_48])]) ).
cnf(c_0_232,negated_conjecture,
c(addition(esk2_0,esk3_0)) != multiplication(c(esk2_0),c(esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_233,plain,
( test(addition(X1,multiplication(X2,X3)))
| multiplication(X2,multiplication(X4,addition(X1,multiplication(X2,X3)))) != zero
| multiplication(addition(X1,multiplication(X2,X3)),multiplication(X2,X4)) != zero
| addition(X1,multiplication(X2,addition(X3,X4))) != one ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_222]),c_0_44]) ).
cnf(c_0_234,negated_conjecture,
multiplication(c(esk2_0),addition(esk3_0,multiplication(c(esk3_0),esk2_0))) = multiplication(esk3_0,c(esk2_0)),
inference(rw,[status(thm)],[c_0_223,c_0_224]) ).
cnf(c_0_235,negated_conjecture,
multiplication(c(esk3_0),multiplication(esk3_0,X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_94]),c_0_46]) ).
cnf(c_0_236,negated_conjecture,
multiplication(c(esk3_0),c(esk2_0)) = multiplication(c(esk2_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(spm,[status(thm)],[c_0_73,c_0_225]),c_0_29]),c_0_75]),c_0_65]),c_0_29]),c_0_226]) ).
cnf(c_0_237,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_64,c_0_227]),c_0_59]) ).
cnf(c_0_238,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(spm,[status(thm)],[c_0_86,c_0_228]),c_0_229]),c_0_63])]) ).
cnf(c_0_239,negated_conjecture,
~ test(addition(esk2_0,esk3_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_232]) ).
cnf(c_0_240,negated_conjecture,
$false,
inference(sr,[status(thm)],[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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_210]),c_0_180]),c_0_235]),c_0_210]),c_0_180]),c_0_236]),c_0_237]),c_0_238]),c_0_101]),c_0_40]),c_0_98]),c_0_176]),c_0_177])]),c_0_239]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KLE014+2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n011.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 2400
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Oct 3 04:48:23 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 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/tmp/tmp.t0UDpvIU6g/E---3.1_25572.p
% 145.35/18.86 # Version: 3.1pre001
% 145.35/18.86 # Preprocessing class: FSMSSMSSSSSNFFN.
% 145.35/18.86 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 145.35/18.86 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 145.35/18.86 # Starting new_bool_3 with 300s (1) cores
% 145.35/18.86 # Starting new_bool_1 with 300s (1) cores
% 145.35/18.86 # Starting sh5l with 300s (1) cores
% 145.35/18.86 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 25650 completed with status 0
% 145.35/18.86 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 145.35/18.86 # Preprocessing class: FSMSSMSSSSSNFFN.
% 145.35/18.86 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 145.35/18.86 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 145.35/18.86 # No SInE strategy applied
% 145.35/18.86 # Search class: FGUSM-FFSF21-SFFFFFNN
% 145.35/18.86 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 145.35/18.86 # Starting G-E--_208_C18--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 145.35/18.86 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 145.35/18.86 # Starting new_bool_3 with 136s (1) cores
% 145.35/18.86 # Starting new_bool_1 with 136s (1) cores
% 145.35/18.86 # Starting sh5l with 136s (1) cores
% 145.35/18.86 # G-E--_208_C18--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 25655 completed with status 0
% 145.35/18.86 # Result found by G-E--_208_C18--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 145.35/18.86 # Preprocessing class: FSMSSMSSSSSNFFN.
% 145.35/18.86 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 145.35/18.86 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 145.35/18.86 # No SInE strategy applied
% 145.35/18.86 # Search class: FGUSM-FFSF21-SFFFFFNN
% 145.35/18.86 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 145.35/18.86 # Starting G-E--_208_C18--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 145.35/18.86 # Preprocessing time : 0.001 s
% 145.35/18.86 # Presaturation interreduction done
% 145.35/18.86
% 145.35/18.86 # Proof found!
% 145.35/18.86 # SZS status Theorem
% 145.35/18.86 # SZS output start CNFRefutation
% See solution above
% 145.35/18.86 # Parsed axioms : 17
% 145.35/18.86 # Removed by relevancy pruning/SinE : 0
% 145.35/18.86 # Initial clauses : 25
% 145.35/18.86 # Removed in clause preprocessing : 0
% 145.35/18.86 # Initial clauses in saturation : 25
% 145.35/18.86 # Processed clauses : 24976
% 145.35/18.86 # ...of these trivial : 1257
% 145.35/18.86 # ...subsumed : 20005
% 145.35/18.86 # ...remaining for further processing : 3714
% 145.35/18.86 # Other redundant clauses eliminated : 791
% 145.35/18.86 # Clauses deleted for lack of memory : 0
% 145.35/18.86 # Backward-subsumed : 1530
% 145.35/18.86 # Backward-rewritten : 418
% 145.35/18.86 # Generated clauses : 1305374
% 145.35/18.86 # ...of the previous two non-redundant : 1163255
% 145.35/18.86 # ...aggressively subsumed : 0
% 145.35/18.86 # Contextual simplify-reflections : 366
% 145.35/18.86 # Paramodulations : 1304583
% 145.35/18.86 # Factorizations : 0
% 145.35/18.86 # NegExts : 0
% 145.35/18.86 # Equation resolutions : 791
% 145.35/18.86 # Total rewrite steps : 1731970
% 145.35/18.86 # Propositional unsat checks : 0
% 145.35/18.86 # Propositional check models : 0
% 145.35/18.86 # Propositional check unsatisfiable : 0
% 145.35/18.86 # Propositional clauses : 0
% 145.35/18.86 # Propositional clauses after purity: 0
% 145.35/18.86 # Propositional unsat core size : 0
% 145.35/18.86 # Propositional preprocessing time : 0.000
% 145.35/18.86 # Propositional encoding time : 0.000
% 145.35/18.86 # Propositional solver time : 0.000
% 145.35/18.86 # Success case prop preproc time : 0.000
% 145.35/18.86 # Success case prop encoding time : 0.000
% 145.35/18.86 # Success case prop solver time : 0.000
% 145.35/18.86 # Current number of processed clauses : 1740
% 145.35/18.86 # Positive orientable unit clauses : 272
% 145.35/18.86 # Positive unorientable unit clauses: 22
% 145.35/18.86 # Negative unit clauses : 17
% 145.35/18.86 # Non-unit-clauses : 1429
% 145.35/18.86 # Current number of unprocessed clauses: 1119171
% 145.35/18.86 # ...number of literals in the above : 3261245
% 145.35/18.86 # Current number of archived formulas : 0
% 145.35/18.86 # Current number of archived clauses : 1973
% 145.35/18.86 # Clause-clause subsumption calls (NU) : 833664
% 145.35/18.86 # Rec. Clause-clause subsumption calls : 655271
% 145.35/18.86 # Non-unit clause-clause subsumptions : 17273
% 145.35/18.86 # Unit Clause-clause subsumption calls : 29865
% 145.35/18.86 # Rewrite failures with RHS unbound : 0
% 145.35/18.86 # BW rewrite match attempts : 963
% 145.35/18.86 # BW rewrite match successes : 268
% 145.35/18.86 # Condensation attempts : 0
% 145.35/18.86 # Condensation successes : 0
% 145.35/18.86 # Termbank termtop insertions : 29309204
% 145.35/18.86
% 145.35/18.86 # -------------------------------------------------
% 145.35/18.86 # User time : 17.389 s
% 145.35/18.86 # System time : 0.674 s
% 145.35/18.86 # Total time : 18.063 s
% 145.35/18.86 # Maximum resident set size: 1740 pages
% 145.35/18.86
% 145.35/18.86 # -------------------------------------------------
% 145.35/18.86 # User time : 89.000 s
% 145.35/18.86 # System time : 1.390 s
% 145.35/18.86 # Total time : 90.390 s
% 145.35/18.86 # Maximum resident set size: 1732 pages
% 145.35/18.86 % E---3.1 exiting
% 145.35/18.87 % E---3.1 exiting
%------------------------------------------------------------------------------