TSTP Solution File: KLE016+3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : KLE016+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 05:25:39 EDT 2023
% Result : Theorem 166.04s 166.00s
% Output : CNFRefutation 166.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 28
% Syntax : Number of formulae : 276 ( 176 unt; 11 typ; 0 def)
% Number of atoms : 394 ( 288 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 240 ( 111 ~; 106 |; 14 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 7 >; 4 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 250 ( 9 sgn; 63 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
addition: ( $i * $i ) > $i ).
tff(decl_23,type,
zero: $i ).
tff(decl_24,type,
multiplication: ( $i * $i ) > $i ).
tff(decl_25,type,
one: $i ).
tff(decl_26,type,
leq: ( $i * $i ) > $o ).
tff(decl_27,type,
test: $i > $o ).
tff(decl_28,type,
complement: ( $i * $i ) > $o ).
tff(decl_29,type,
c: $i > $i ).
tff(decl_30,type,
esk1_1: $i > $i ).
tff(decl_31,type,
esk2_0: $i ).
tff(decl_32,type,
esk3_0: $i ).
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)
<=> ( multiplication(X4,X5) = zero
& multiplication(X5,X4) = zero
& addition(X4,X5) = one ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_2) ).
fof(goals,conjecture,
! [X4,X5] :
( ( test(X5)
& test(X4) )
=> ( leq(c(multiplication(X4,X5)),addition(c(X4),c(X5)))
& leq(addition(c(X4),c(X5)),c(multiplication(X4,X5))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(test_1,axiom,
! [X4] :
( test(X4)
<=> ? [X5] : complement(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_1) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
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(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(multiplicative_right_identity,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
fof(order,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> addition(X1,X2) = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',order) ).
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(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(test_4,axiom,
! [X4] :
( ~ test(X4)
=> c(X4) = zero ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_4) ).
fof(right_annihilation,axiom,
! [X1] : multiplication(X1,zero) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).
fof(left_annihilation,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
fof(c_0_17,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_18,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_19,plain,
( complement(X1,X2)
| c(X1) != X2
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_20,negated_conjecture,
~ ! [X4,X5] :
( ( test(X5)
& test(X4) )
=> ( leq(c(multiplication(X4,X5)),addition(c(X4),c(X5)))
& leq(addition(c(X4),c(X5)),c(multiplication(X4,X5))) ) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_21,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_22,plain,
( multiplication(X1,X2) = zero
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
( complement(X1,c(X1))
| ~ test(X1) ),
inference(er,[status(thm)],[c_0_19]) ).
fof(c_0_24,negated_conjecture,
( test(esk3_0)
& test(esk2_0)
& ( ~ leq(c(multiplication(esk2_0,esk3_0)),addition(c(esk2_0),c(esk3_0)))
| ~ leq(addition(c(esk2_0),c(esk3_0)),c(multiplication(esk2_0,esk3_0))) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
cnf(c_0_25,plain,
( test(X2)
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
( complement(X2,X1)
| multiplication(X1,X2) != zero
| multiplication(X2,X1) != zero
| addition(X1,X2) != one ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_27,plain,
! [X6,X7] : addition(X6,X7) = addition(X7,X6),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
fof(c_0_28,plain,
! [X8,X9,X10] : addition(X10,addition(X9,X8)) = addition(addition(X10,X9),X8),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
fof(c_0_29,plain,
! [X12] : addition(X12,X12) = X12,
inference(variable_rename,[status(thm)],[additive_idempotence]) ).
fof(c_0_30,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_31,plain,
( multiplication(X1,c(X1)) = zero
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_32,negated_conjecture,
test(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_33,plain,
! [X11] : addition(X11,zero) = X11,
inference(variable_rename,[status(thm)],[additive_identity]) ).
cnf(c_0_34,plain,
( test(X1)
| addition(X1,X2) != one
| multiplication(X2,X1) != zero
| multiplication(X1,X2) != zero ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_35,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_36,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_37,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_38,plain,
( addition(X1,X2) = one
| ~ complement(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_39,plain,
( complement(esk1_1(X1),X1)
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_40,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_41,negated_conjecture,
multiplication(esk2_0,c(esk2_0)) = zero,
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_42,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_43,plain,
! [X16] : multiplication(X16,one) = X16,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
cnf(c_0_44,plain,
( c(X1) = X2
| ~ complement(X1,X2)
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_45,plain,
( test(X1)
| addition(X2,X1) != one
| multiplication(X2,X1) != zero
| multiplication(X1,X2) != zero ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_46,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_47,plain,
( addition(X1,esk1_1(X1)) = one
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
fof(c_0_48,plain,
! [X26,X27] :
( ( ~ leq(X26,X27)
| addition(X26,X27) = X27 )
& ( addition(X26,X27) != X27
| leq(X26,X27) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[order])]) ).
cnf(c_0_49,negated_conjecture,
multiplication(esk2_0,addition(X1,c(esk2_0))) = multiplication(esk2_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_50,plain,
( addition(X1,c(X1)) = one
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_23]),c_0_35]) ).
cnf(c_0_51,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_43]) ).
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]) ).
cnf(c_0_53,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_44,c_0_26]),c_0_45]) ).
cnf(c_0_54,plain,
( addition(X1,one) = one
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
fof(c_0_55,plain,
! [X17] : multiplication(one,X17) = X17,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
cnf(c_0_56,plain,
( multiplication(X1,X2) = zero
| ~ complement(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_57,negated_conjecture,
( ~ leq(c(multiplication(esk2_0,esk3_0)),addition(c(esk2_0),c(esk3_0)))
| ~ leq(addition(c(esk2_0),c(esk3_0)),c(multiplication(esk2_0,esk3_0))) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_58,plain,
( leq(X1,X2)
| addition(X1,X2) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_59,negated_conjecture,
multiplication(esk2_0,esk2_0) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_32])]) ).
cnf(c_0_60,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_51]),c_0_35]) ).
cnf(c_0_61,negated_conjecture,
test(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_62,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_63,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_42,c_0_35]) ).
cnf(c_0_64,plain,
( c(X1) = X2
| addition(X1,X2) != one
| multiplication(X1,X2) != zero
| multiplication(X2,X1) != zero ),
inference(spm,[status(thm)],[c_0_53,c_0_35]) ).
cnf(c_0_65,negated_conjecture,
addition(esk2_0,one) = one,
inference(spm,[status(thm)],[c_0_54,c_0_32]) ).
cnf(c_0_66,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_67,plain,
( multiplication(c(X1),X1) = zero
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_23]) ).
cnf(c_0_68,negated_conjecture,
( addition(c(multiplication(esk2_0,esk3_0)),addition(c(esk2_0),c(esk3_0))) != c(multiplication(esk2_0,esk3_0))
| ~ leq(c(multiplication(esk2_0,esk3_0)),addition(c(esk2_0),c(esk3_0))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_35]) ).
cnf(c_0_69,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_40,c_0_59]),c_0_60]) ).
cnf(c_0_70,negated_conjecture,
addition(esk3_0,one) = one,
inference(spm,[status(thm)],[c_0_54,c_0_61]) ).
cnf(c_0_71,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_62,c_0_41]),c_0_63]) ).
cnf(c_0_72,negated_conjecture,
( c(esk2_0) = one
| esk2_0 != zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_51]),c_0_66])]) ).
fof(c_0_73,plain,
! [X13,X14,X15] : multiplication(X13,multiplication(X14,X15)) = multiplication(multiplication(X13,X14),X15),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
cnf(c_0_74,negated_conjecture,
multiplication(c(esk2_0),esk2_0) = zero,
inference(spm,[status(thm)],[c_0_67,c_0_32]) ).
fof(c_0_75,plain,
! [X4] :
( ~ test(X4)
=> c(X4) = zero ),
inference(fof_simplification,[status(thm)],[test_4]) ).
cnf(c_0_76,negated_conjecture,
( addition(c(multiplication(esk2_0,esk3_0)),addition(c(esk2_0),c(esk3_0))) != addition(c(esk2_0),c(esk3_0))
| addition(c(multiplication(esk2_0,esk3_0)),addition(c(esk2_0),c(esk3_0))) != c(multiplication(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_68,c_0_58]) ).
cnf(c_0_77,plain,
addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_78,negated_conjecture,
multiplication(esk2_0,addition(esk2_0,esk3_0)) = esk2_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_51]) ).
cnf(c_0_79,negated_conjecture,
( addition(esk2_0,X1) = X1
| esk2_0 != zero ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_51]),c_0_51]) ).
cnf(c_0_80,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_81,negated_conjecture,
multiplication(esk3_0,c(esk3_0)) = zero,
inference(spm,[status(thm)],[c_0_31,c_0_61]) ).
fof(c_0_82,plain,
! [X24] : multiplication(X24,zero) = zero,
inference(variable_rename,[status(thm)],[right_annihilation]) ).
fof(c_0_83,plain,
! [X25] : multiplication(zero,X25) = zero,
inference(variable_rename,[status(thm)],[left_annihilation]) ).
cnf(c_0_84,negated_conjecture,
multiplication(addition(c(esk2_0),X1),esk2_0) = multiplication(X1,esk2_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_74]),c_0_63]) ).
fof(c_0_85,plain,
! [X36] :
( test(X36)
| c(X36) = zero ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])]) ).
cnf(c_0_86,negated_conjecture,
( addition(c(esk2_0),addition(c(esk3_0),c(multiplication(esk2_0,esk3_0)))) != addition(c(esk2_0),c(esk3_0))
| addition(c(esk2_0),addition(c(esk3_0),c(multiplication(esk2_0,esk3_0)))) != c(multiplication(esk2_0,esk3_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_77]),c_0_77]) ).
cnf(c_0_87,negated_conjecture,
( multiplication(esk2_0,esk3_0) = esk2_0
| esk2_0 != zero ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_88,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[c_0_77,c_0_37]) ).
cnf(c_0_89,plain,
addition(X1,X2) = addition(X2,X1),
c_0_35 ).
cnf(c_0_90,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
c_0_36 ).
cnf(c_0_91,plain,
multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
c_0_80 ).
cnf(c_0_92,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_62,c_0_81]),c_0_63]) ).
cnf(c_0_93,negated_conjecture,
( c(esk3_0) = one
| esk3_0 != zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_70]),c_0_51]),c_0_66])]) ).
cnf(c_0_94,plain,
multiplication(X1,zero) = zero,
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_95,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_96,negated_conjecture,
( multiplication(c(c(esk2_0)),esk2_0) = esk2_0
| ~ test(c(esk2_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_50]),c_0_66]) ).
cnf(c_0_97,plain,
( test(c(X1))
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_23]) ).
cnf(c_0_98,plain,
( test(X1)
| c(X1) = zero ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_99,negated_conjecture,
( addition(c(esk2_0),c(esk3_0)) != c(esk2_0)
| esk2_0 != zero ),
inference(rw,[status(thm)],[inference(ar,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]),c_0_88]),c_0_89,c_0_90,c_0_91]),c_0_35]) ).
cnf(c_0_100,negated_conjecture,
multiplication(c(esk3_0),esk3_0) = zero,
inference(spm,[status(thm)],[c_0_67,c_0_61]) ).
cnf(c_0_101,negated_conjecture,
( addition(esk3_0,X1) = X1
| esk3_0 != zero ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_51]),c_0_51]) ).
cnf(c_0_102,plain,
( c(zero) = one
| ~ test(zero) ),
inference(spm,[status(thm)],[c_0_63,c_0_50]) ).
cnf(c_0_103,plain,
test(zero),
inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_63]),c_0_94]),c_0_95])])]) ).
cnf(c_0_104,negated_conjecture,
multiplication(c(c(esk2_0)),esk2_0) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_32])]) ).
cnf(c_0_105,plain,
( addition(X1,one) = one
| c(X1) = zero ),
inference(spm,[status(thm)],[c_0_54,c_0_98]) ).
cnf(c_0_106,negated_conjecture,
( addition(one,c(esk3_0)) != one
| esk2_0 != zero ),
inference(spm,[status(thm)],[c_0_99,c_0_72]) ).
cnf(c_0_107,plain,
( addition(one,c(X1)) = one
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_97]),c_0_35]) ).
cnf(c_0_108,plain,
( c(esk1_1(X1)) = X1
| ~ test(esk1_1(X1))
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_39]) ).
cnf(c_0_109,negated_conjecture,
multiplication(addition(c(esk3_0),X1),esk3_0) = multiplication(X1,esk3_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_100]),c_0_63]) ).
cnf(c_0_110,negated_conjecture,
( multiplication(esk2_0,esk3_0) = zero
| esk3_0 != zero ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_101]),c_0_41]) ).
cnf(c_0_111,plain,
c(zero) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_103])]) ).
cnf(c_0_112,negated_conjecture,
( addition(one,c(esk2_0)) = one
| esk2_0 = zero ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_95]),c_0_35]) ).
cnf(c_0_113,negated_conjecture,
esk2_0 != zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_61])]) ).
cnf(c_0_114,plain,
( c(esk1_1(X1)) = zero
| c(esk1_1(X1)) = X1
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_108,c_0_98]) ).
cnf(c_0_115,plain,
( multiplication(esk1_1(X1),X1) = zero
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_39]) ).
cnf(c_0_116,plain,
( multiplication(X1,esk1_1(X1)) = zero
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_39]) ).
cnf(c_0_117,negated_conjecture,
( multiplication(c(c(esk3_0)),esk3_0) = esk3_0
| ~ test(c(esk3_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_50]),c_0_66]) ).
cnf(c_0_118,negated_conjecture,
( esk3_0 != zero
| ~ leq(one,addition(c(esk2_0),c(esk3_0)))
| ~ leq(addition(c(esk2_0),c(esk3_0)),one) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_110]),c_0_111]),c_0_111]) ).
cnf(c_0_119,negated_conjecture,
addition(one,c(esk2_0)) = one,
inference(sr,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_120,negated_conjecture,
( c(esk1_1(esk3_0)) = esk3_0
| c(esk1_1(esk3_0)) = zero ),
inference(spm,[status(thm)],[c_0_114,c_0_61]) ).
cnf(c_0_121,plain,
( esk1_1(X1) = c(X1)
| ~ test(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_47]),c_0_115]),c_0_116]) ).
cnf(c_0_122,negated_conjecture,
( c(esk1_1(esk2_0)) = esk2_0
| c(esk1_1(esk2_0)) = zero ),
inference(spm,[status(thm)],[c_0_114,c_0_32]) ).
cnf(c_0_123,negated_conjecture,
multiplication(c(c(esk3_0)),esk3_0) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_97]),c_0_61])]) ).
cnf(c_0_124,negated_conjecture,
( esk3_0 != zero
| ~ leq(one,one) ),
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_118,c_0_93]),c_0_35]),c_0_119]),c_0_35]),c_0_119])]) ).
cnf(c_0_125,negated_conjecture,
( c(c(esk3_0)) = zero
| c(c(esk3_0)) = esk3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_61])]) ).
cnf(c_0_126,negated_conjecture,
( c(c(esk2_0)) = zero
| c(c(esk2_0)) = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_121]),c_0_32])]) ).
cnf(c_0_127,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_66]),c_0_35]) ).
cnf(c_0_128,negated_conjecture,
( addition(one,c(esk3_0)) = one
| esk3_0 = zero ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_105]),c_0_95]),c_0_35]) ).
cnf(c_0_129,negated_conjecture,
esk3_0 != zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_58]),c_0_37])]) ).
cnf(c_0_130,negated_conjecture,
( addition(esk3_0,c(esk3_0)) = one
| c(c(esk3_0)) = zero ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_125]),c_0_35]),c_0_98]) ).
cnf(c_0_131,negated_conjecture,
addition(esk2_0,multiplication(X1,esk2_0)) = multiplication(addition(esk2_0,X1),esk2_0),
inference(spm,[status(thm)],[c_0_62,c_0_59]) ).
cnf(c_0_132,negated_conjecture,
( addition(esk2_0,c(esk2_0)) = one
| c(c(esk2_0)) = zero ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_126]),c_0_35]),c_0_98]) ).
cnf(c_0_133,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_40,c_0_109]) ).
cnf(c_0_134,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_62,c_0_59]),c_0_35]),c_0_127]) ).
cnf(c_0_135,negated_conjecture,
addition(one,c(esk3_0)) = one,
inference(sr,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_136,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_40,c_0_115]),c_0_63]) ).
cnf(c_0_137,negated_conjecture,
addition(esk3_0,c(esk3_0)) = one,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_130]),c_0_95]),c_0_129]) ).
cnf(c_0_138,negated_conjecture,
multiplication(esk1_1(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_92,c_0_47]),c_0_66]),c_0_61])]) ).
cnf(c_0_139,negated_conjecture,
multiplication(addition(X1,one),esk2_0) = multiplication(addition(esk2_0,X1),esk2_0),
inference(rw,[status(thm)],[c_0_131,c_0_127]) ).
cnf(c_0_140,negated_conjecture,
addition(esk2_0,c(esk2_0)) = one,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_132]),c_0_95]),c_0_113]) ).
cnf(c_0_141,negated_conjecture,
multiplication(esk1_1(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_71,c_0_47]),c_0_66]),c_0_32])]) ).
cnf(c_0_142,negated_conjecture,
multiplication(addition(X1,c(esk3_0)),esk3_0) = multiplication(X1,esk3_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_100]),c_0_42]) ).
cnf(c_0_143,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_62,c_0_116]),c_0_63]) ).
cnf(c_0_144,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_133,c_0_134]),c_0_66]),c_0_35]),c_0_35]),c_0_135]),c_0_35]),c_0_66]) ).
cnf(c_0_145,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_136,c_0_137]),c_0_51]),c_0_138]),c_0_61])]) ).
cnf(c_0_146,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_62,c_0_81]),c_0_42]) ).
cnf(c_0_147,negated_conjecture,
multiplication(addition(esk2_0,esk3_0),esk2_0) = esk2_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_70]),c_0_66]) ).
cnf(c_0_148,negated_conjecture,
addition(esk2_0,multiplication(X1,addition(esk2_0,esk3_0))) = multiplication(addition(esk2_0,X1),addition(esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_62,c_0_78]) ).
cnf(c_0_149,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_136,c_0_140]),c_0_51]),c_0_141]),c_0_32])]) ).
cnf(c_0_150,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_40,c_0_142]) ).
cnf(c_0_151,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145]),c_0_146]),c_0_145]),c_0_80]),c_0_61])]) ).
cnf(c_0_152,negated_conjecture,
multiplication(esk3_0,addition(c(esk3_0),X1)) = multiplication(esk3_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_81]),c_0_63]) ).
cnf(c_0_153,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_92,c_0_50]),c_0_66]),c_0_61])]) ).
cnf(c_0_154,negated_conjecture,
addition(esk2_0,multiplication(addition(esk2_0,esk3_0),X1)) = multiplication(addition(esk2_0,esk3_0),addition(esk2_0,X1)),
inference(spm,[status(thm)],[c_0_40,c_0_147]) ).
cnf(c_0_155,negated_conjecture,
addition(esk2_0,multiplication(c(esk2_0),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(spm,[status(thm)],[c_0_148,c_0_136]),c_0_149]),c_0_149]),c_0_140]),c_0_66]),c_0_32])]) ).
cnf(c_0_156,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(spm,[status(thm)],[c_0_150,c_0_151]),c_0_40]),c_0_137]),c_0_51]) ).
cnf(c_0_157,negated_conjecture,
multiplication(esk3_0,addition(X1,c(esk3_0))) = multiplication(esk3_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_81]),c_0_42]) ).
cnf(c_0_158,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_62,c_0_152]) ).
cnf(c_0_159,negated_conjecture,
multiplication(esk2_0,addition(X1,one)) = multiplication(esk2_0,addition(X1,esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_59]),c_0_35]),c_0_60]) ).
cnf(c_0_160,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_84,c_0_47]),c_0_66]) ).
cnf(c_0_161,negated_conjecture,
test(c(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_140]),c_0_41]),c_0_74])]) ).
cnf(c_0_162,negated_conjecture,
multiplication(addition(X1,c(esk2_0)),esk2_0) = multiplication(X1,esk2_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_74]),c_0_42]) ).
cnf(c_0_163,negated_conjecture,
addition(multiplication(esk2_0,X1),multiplication(X2,addition(X1,c(esk2_0)))) = multiplication(addition(esk2_0,X2),addition(X1,c(esk2_0))),
inference(spm,[status(thm)],[c_0_62,c_0_49]) ).
cnf(c_0_164,negated_conjecture,
multiplication(c(esk3_0),addition(c(esk3_0),X1)) = multiplication(c(esk3_0),addition(X1,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_153]),c_0_60]) ).
cnf(c_0_165,plain,
addition(X1,addition(X2,X3)) = addition(X2,addition(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_35]),c_0_36]) ).
cnf(c_0_166,negated_conjecture,
( multiplication(esk1_1(c(esk3_0)),esk3_0) = esk3_0
| ~ test(c(esk3_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_47]),c_0_66]) ).
cnf(c_0_167,negated_conjecture,
test(c(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_137]),c_0_81]),c_0_100])]) ).
cnf(c_0_168,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_71,c_0_50]),c_0_66]),c_0_32])]) ).
cnf(c_0_169,negated_conjecture,
addition(esk2_0,multiplication(esk3_0,c(esk2_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(spm,[status(thm)],[c_0_154,c_0_143]),c_0_149]),c_0_149]),c_0_140]),c_0_51]),c_0_32])]) ).
cnf(c_0_170,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_40,c_0_74]),c_0_63]) ).
cnf(c_0_171,negated_conjecture,
multiplication(c(esk2_0),multiplication(esk3_0,c(esk2_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_143,c_0_155]),c_0_149]),c_0_71]),c_0_149]),c_0_80]),c_0_32])]) ).
cnf(c_0_172,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_127,c_0_156]),c_0_36]),c_0_35]),c_0_60]),c_0_35]),c_0_135]),c_0_51]),c_0_35]),c_0_36]),c_0_35]),c_0_135]),c_0_65]),c_0_66]) ).
cnf(c_0_173,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_40,c_0_100]),c_0_42]) ).
cnf(c_0_174,negated_conjecture,
multiplication(esk3_0,esk3_0) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_50]),c_0_51]),c_0_61])]) ).
cnf(c_0_175,negated_conjecture,
addition(esk3_0,multiplication(esk2_0,addition(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(spm,[status(thm)],[c_0_158,c_0_159]),c_0_51]),c_0_35]),c_0_35]),c_0_135]),c_0_51]),c_0_35]) ).
cnf(c_0_176,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_40,c_0_115]),c_0_42]) ).
cnf(c_0_177,negated_conjecture,
multiplication(esk1_1(c(esk2_0)),esk2_0) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_161])]) ).
cnf(c_0_178,negated_conjecture,
addition(multiplication(X1,esk2_0),multiplication(addition(X1,c(esk2_0)),X2)) = multiplication(addition(X1,c(esk2_0)),addition(esk2_0,X2)),
inference(spm,[status(thm)],[c_0_40,c_0_162]) ).
cnf(c_0_179,negated_conjecture,
multiplication(addition(c(esk3_0),X1),c(esk3_0)) = multiplication(addition(X1,one),c(esk3_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_153]),c_0_127]) ).
cnf(c_0_180,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_163,c_0_164]),c_0_35]),c_0_119]),c_0_51]),c_0_35]),c_0_127]),c_0_65]),c_0_66]),c_0_35]) ).
cnf(c_0_181,negated_conjecture,
addition(esk3_0,addition(X1,c(esk3_0))) = addition(X1,one),
inference(spm,[status(thm)],[c_0_165,c_0_137]) ).
cnf(c_0_182,negated_conjecture,
multiplication(esk1_1(c(esk3_0)),esk3_0) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_167])]) ).
cnf(c_0_183,negated_conjecture,
multiplication(addition(c(esk2_0),X1),c(esk2_0)) = multiplication(addition(X1,one),c(esk2_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_168]),c_0_127]) ).
cnf(c_0_184,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_136,c_0_169]),c_0_149]),c_0_170]),c_0_149]),c_0_171]),c_0_32])]) ).
cnf(c_0_185,plain,
addition(multiplication(X1,X2),multiplication(X3,multiplication(X4,X2))) = multiplication(addition(X1,multiplication(X3,X4)),X2),
inference(spm,[status(thm)],[c_0_62,c_0_80]) ).
cnf(c_0_186,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_136,c_0_172]),c_0_145]),c_0_173]),c_0_145]),c_0_61])]) ).
cnf(c_0_187,negated_conjecture,
multiplication(esk2_0,addition(c(esk2_0),X1)) = multiplication(esk2_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_63]) ).
cnf(c_0_188,negated_conjecture,
addition(esk3_0,multiplication(X1,esk3_0)) = multiplication(addition(esk3_0,X1),esk3_0),
inference(spm,[status(thm)],[c_0_62,c_0_174]) ).
cnf(c_0_189,plain,
( addition(X1,addition(X2,esk1_1(addition(X1,X2)))) = one
| ~ test(addition(X1,X2)) ),
inference(spm,[status(thm)],[c_0_36,c_0_47]) ).
cnf(c_0_190,negated_conjecture,
multiplication(c(esk3_0),multiplication(esk2_0,addition(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_136,c_0_175]),c_0_145]),c_0_173]),c_0_145]),c_0_61])]) ).
cnf(c_0_191,plain,
( addition(X1,addition(esk1_1(X1),X2)) = addition(one,X2)
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_47]) ).
cnf(c_0_192,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_176,c_0_140]),c_0_51]),c_0_177]),c_0_161])]) ).
cnf(c_0_193,negated_conjecture,
multiplication(c(esk3_0),multiplication(esk3_0,X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_100]),c_0_95]) ).
cnf(c_0_194,negated_conjecture,
addition(multiplication(esk3_0,X1),multiplication(X2,addition(X1,c(esk3_0)))) = multiplication(addition(esk3_0,X2),addition(X1,c(esk3_0))),
inference(spm,[status(thm)],[c_0_62,c_0_157]) ).
cnf(c_0_195,negated_conjecture,
multiplication(addition(c(esk2_0),c(esk3_0)),addition(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_178,c_0_179]),c_0_35]),c_0_119]),c_0_66]),c_0_35]),c_0_60]),c_0_65]),c_0_51]),c_0_35]) ).
cnf(c_0_196,negated_conjecture,
addition(multiplication(esk2_0,esk3_0),c(esk3_0)) = addition(esk2_0,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_150,c_0_180]),c_0_181]),c_0_35]),c_0_119]),c_0_51]) ).
cnf(c_0_197,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_176,c_0_137]),c_0_51]),c_0_182]),c_0_167])]) ).
cnf(c_0_198,plain,
addition(multiplication(X1,X2),addition(multiplication(X1,X3),X4)) = addition(multiplication(X1,addition(X2,X3)),X4),
inference(spm,[status(thm)],[c_0_36,c_0_40]) ).
cnf(c_0_199,negated_conjecture,
multiplication(esk3_0,multiplication(c(esk3_0),X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_95]) ).
cnf(c_0_200,negated_conjecture,
multiplication(addition(c(esk2_0),c(esk3_0)),addition(esk2_0,esk3_0)) = addition(multiplication(c(esk2_0),esk3_0),multiplication(c(esk3_0),esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_162]),c_0_35]),c_0_35]) ).
cnf(c_0_201,negated_conjecture,
addition(esk2_0,addition(c(esk2_0),X1)) = addition(one,X1),
inference(spm,[status(thm)],[c_0_36,c_0_140]) ).
cnf(c_0_202,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_40,c_0_84]) ).
cnf(c_0_203,negated_conjecture,
multiplication(addition(c(esk2_0),c(esk3_0)),addition(esk3_0,c(esk2_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(spm,[status(thm)],[c_0_150,c_0_183]),c_0_184]),c_0_35]),c_0_135]),c_0_66]),c_0_35]),c_0_127]),c_0_70]),c_0_66]) ).
cnf(c_0_204,negated_conjecture,
addition(esk2_0,addition(X1,c(esk2_0))) = addition(X1,one),
inference(spm,[status(thm)],[c_0_165,c_0_140]) ).
cnf(c_0_205,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_185,c_0_59]),c_0_62]) ).
cnf(c_0_206,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_127,c_0_186]),c_0_35]),c_0_135]),c_0_66]) ).
cnf(c_0_207,negated_conjecture,
multiplication(esk2_0,multiplication(addition(c(esk2_0),X1),X2)) = multiplication(esk2_0,multiplication(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_187]),c_0_80]) ).
cnf(c_0_208,negated_conjecture,
multiplication(addition(X1,one),esk3_0) = multiplication(addition(esk3_0,X1),esk3_0),
inference(rw,[status(thm)],[c_0_188,c_0_127]) ).
cnf(c_0_209,plain,
( addition(X1,one) = one
| ~ test(addition(X1,X2)) ),
inference(spm,[status(thm)],[c_0_46,c_0_189]) ).
cnf(c_0_210,negated_conjecture,
addition(multiplication(c(esk3_0),esk2_0),multiplication(esk2_0,addition(esk2_0,c(esk3_0)))) = multiplication(esk2_0,addition(esk2_0,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_127,c_0_190]),c_0_35]),c_0_135]),c_0_66]),c_0_35]) ).
cnf(c_0_211,negated_conjecture,
multiplication(esk2_0,addition(one,X1)) = multiplication(esk2_0,addition(esk2_0,X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_191]),c_0_192]),c_0_161])]) ).
cnf(c_0_212,negated_conjecture,
multiplication(c(esk3_0),addition(multiplication(esk3_0,X1),X2)) = multiplication(c(esk3_0),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_193]),c_0_63]) ).
cnf(c_0_213,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_62,c_0_116]),c_0_42]) ).
cnf(c_0_214,negated_conjecture,
addition(multiplication(esk3_0,esk2_0),c(esk3_0)) = addition(esk2_0,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_194,c_0_195]),c_0_181]),c_0_35]),c_0_119]),c_0_66]) ).
cnf(c_0_215,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_176,c_0_196]),c_0_197]),c_0_157]),c_0_197]),c_0_167])]) ).
cnf(c_0_216,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_198,c_0_50]),c_0_35]) ).
cnf(c_0_217,negated_conjecture,
multiplication(esk3_0,addition(X1,multiplication(c(esk3_0),X2))) = multiplication(esk3_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_199]),c_0_42]) ).
cnf(c_0_218,negated_conjecture,
addition(esk2_0,addition(multiplication(c(esk2_0),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(spm,[status(thm)],[c_0_148,c_0_200]),c_0_201]),c_0_135]),c_0_66]) ).
cnf(c_0_219,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_35]),c_0_204]),c_0_70]),c_0_51]) ).
cnf(c_0_220,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_205,c_0_206]),c_0_80]),c_0_35]),c_0_127]),c_0_65]),c_0_66]) ).
cnf(c_0_221,negated_conjecture,
multiplication(esk2_0,multiplication(addition(esk3_0,c(esk2_0)),esk3_0)) = multiplication(esk2_0,esk3_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_66]) ).
cnf(c_0_222,negated_conjecture,
( addition(one,multiplication(c(esk3_0),esk2_0)) = one
| ~ test(multiplication(esk2_0,addition(esk2_0,c(esk3_0)))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_35]) ).
cnf(c_0_223,negated_conjecture,
multiplication(esk2_0,addition(esk2_0,c(esk3_0))) = esk2_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_135]),c_0_51]) ).
cnf(c_0_224,negated_conjecture,
multiplication(esk3_0,multiplication(esk3_0,X1)) = multiplication(esk3_0,X1),
inference(spm,[status(thm)],[c_0_80,c_0_174]) ).
cnf(c_0_225,plain,
addition(multiplication(X1,multiplication(X2,X3)),multiplication(X4,X3)) = multiplication(addition(multiplication(X1,X2),X4),X3),
inference(spm,[status(thm)],[c_0_62,c_0_80]) ).
cnf(c_0_226,negated_conjecture,
( multiplication(c(esk3_0),c(multiplication(esk3_0,X1))) = c(esk3_0)
| ~ test(multiplication(esk3_0,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_50]),c_0_51]) ).
cnf(c_0_227,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_197]),c_0_142]),c_0_197]),c_0_80]),c_0_215]),c_0_167])]) ).
cnf(c_0_228,negated_conjecture,
( addition(esk2_0,c(multiplication(esk2_0,esk3_0))) = one
| ~ test(multiplication(esk2_0,esk3_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_78]),c_0_59]),c_0_35]),c_0_65]) ).
cnf(c_0_229,negated_conjecture,
addition(multiplication(esk3_0,X1),multiplication(X2,addition(X1,multiplication(c(esk3_0),X3)))) = multiplication(addition(esk3_0,X2),addition(X1,multiplication(c(esk3_0),X3))),
inference(spm,[status(thm)],[c_0_62,c_0_217]) ).
cnf(c_0_230,negated_conjecture,
multiplication(c(esk2_0),addition(multiplication(esk3_0,c(esk2_0)),multiplication(c(esk3_0),esk2_0))) = multiplication(esk3_0,c(esk2_0)),
inference(rw,[status(thm)],[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_136,c_0_218]),c_0_149]),c_0_170]),c_0_149]),c_0_32])]),c_0_184]),c_0_184]) ).
cnf(c_0_231,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_136,c_0_219]),c_0_192]),c_0_187]),c_0_192]),c_0_220]),c_0_161])]) ).
cnf(c_0_232,negated_conjecture,
multiplication(addition(esk2_0,esk3_0),addition(c(esk2_0),c(esk3_0))) = addition(multiplication(esk2_0,c(esk3_0)),multiplication(esk3_0,c(esk2_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_49]),c_0_35]),c_0_35]),c_0_35]) ).
cnf(c_0_233,negated_conjecture,
multiplication(addition(esk3_0,c(esk2_0)),esk3_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(spm,[status(thm)],[c_0_127,c_0_221]),c_0_62]),c_0_36]),c_0_35]),c_0_140]),c_0_70]),c_0_66]),c_0_65]),c_0_66]) ).
cnf(c_0_234,negated_conjecture,
addition(X1,addition(c(esk2_0),multiplication(X1,esk2_0))) = addition(X1,c(esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_162]),c_0_36]),c_0_65]),c_0_51]) ).
cnf(c_0_235,negated_conjecture,
addition(one,multiplication(c(esk3_0),esk2_0)) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_222,c_0_223]),c_0_32])]) ).
cnf(c_0_236,negated_conjecture,
multiplication(addition(X1,one),multiplication(esk3_0,X2)) = multiplication(addition(X1,esk3_0),multiplication(esk3_0,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_224]),c_0_225]),c_0_35]),c_0_127]),c_0_80]) ).
cnf(c_0_237,plain,
( multiplication(X1,addition(esk1_1(X1),X2)) = multiplication(X1,X2)
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_116]),c_0_63]) ).
cnf(c_0_238,plain,
( test(esk1_1(X1))
| ~ test(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_47]),c_0_115]),c_0_116]) ).
cnf(c_0_239,negated_conjecture,
( multiplication(c(esk3_0),c(multiplication(esk2_0,esk3_0))) = c(esk3_0)
| ~ test(multiplication(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_226,c_0_227]) ).
cnf(c_0_240,negated_conjecture,
( multiplication(c(multiplication(esk2_0,esk3_0)),c(esk2_0)) = c(esk2_0)
| ~ test(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_143,c_0_228]),c_0_66]),c_0_149]),c_0_149]),c_0_32])]) ).
cnf(c_0_241,negated_conjecture,
multiplication(addition(esk3_0,c(esk2_0)),addition(multiplication(esk2_0,c(esk3_0)),multiplication(esk3_0,c(esk2_0)))) = multiplication(esk3_0,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_229,c_0_230]),c_0_224]),c_0_37]),c_0_231]),c_0_35]) ).
cnf(c_0_242,negated_conjecture,
addition(esk2_0,addition(multiplication(esk2_0,c(esk3_0)),multiplication(esk3_0,c(esk2_0)))) = addition(esk2_0,esk3_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_232]),c_0_201]),c_0_135]),c_0_51]) ).
cnf(c_0_243,negated_conjecture,
multiplication(addition(esk3_0,c(esk2_0)),addition(esk2_0,esk3_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_178,c_0_233]),c_0_35]),c_0_60]),c_0_65]),c_0_51]) ).
cnf(c_0_244,negated_conjecture,
multiplication(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(spm,[status(thm)],[c_0_164,c_0_234]),c_0_35]),c_0_36]),c_0_35]),c_0_235]),c_0_35]),c_0_119]),c_0_51]) ).
cnf(c_0_245,negated_conjecture,
multiplication(addition(X1,one),esk3_0) = multiplication(addition(X1,esk3_0),esk3_0),
inference(spm,[status(thm)],[c_0_208,c_0_35]) ).
cnf(c_0_246,negated_conjecture,
multiplication(addition(esk2_0,esk3_0),multiplication(esk3_0,X1)) = multiplication(esk3_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_65]),c_0_66]) ).
cnf(c_0_247,plain,
( multiplication(X1,c(esk1_1(X1))) = X1
| ~ test(X1) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_50]),c_0_51]),c_0_238]) ).
cnf(c_0_248,negated_conjecture,
( addition(c(esk3_0),c(multiplication(esk2_0,esk3_0))) = c(multiplication(esk2_0,esk3_0))
| ~ test(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_127,c_0_239]),c_0_35]),c_0_35]),c_0_135]),c_0_66]) ).
cnf(c_0_249,negated_conjecture,
( addition(c(esk2_0),c(multiplication(esk2_0,esk3_0))) = c(multiplication(esk2_0,esk3_0))
| ~ test(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_60,c_0_240]),c_0_35]),c_0_35]),c_0_119]),c_0_51]) ).
cnf(c_0_250,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(spm,[status(thm)],[c_0_178,c_0_241]),c_0_227]),c_0_242]),c_0_243]) ).
cnf(c_0_251,negated_conjecture,
addition(c(esk3_0),multiplication(esk3_0,c(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_194,c_0_244]),c_0_35]),c_0_137]),c_0_66]) ).
cnf(c_0_252,negated_conjecture,
multiplication(c(esk2_0),multiplication(esk2_0,X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_74]),c_0_95]) ).
cnf(c_0_253,negated_conjecture,
multiplication(c(esk3_0),multiplication(addition(X1,esk3_0),esk3_0)) = multiplication(c(esk3_0),multiplication(X1,esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_60]),c_0_80]),c_0_80]),c_0_245]) ).
cnf(c_0_254,negated_conjecture,
multiplication(addition(esk2_0,esk3_0),esk3_0) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_61])]) ).
cnf(c_0_255,negated_conjecture,
multiplication(esk2_0,multiplication(addition(esk2_0,esk3_0),X1)) = multiplication(esk2_0,X1),
inference(spm,[status(thm)],[c_0_80,c_0_78]) ).
cnf(c_0_256,negated_conjecture,
( addition(c(esk2_0),c(multiplication(esk2_0,esk3_0))) != addition(c(esk2_0),c(esk3_0))
| ~ test(multiplication(esk2_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_248]),c_0_249]) ).
cnf(c_0_257,negated_conjecture,
addition(multiplication(esk2_0,esk3_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(spm,[status(thm)],[c_0_189,c_0_250]),c_0_145]),c_0_35]),c_0_251]),c_0_61])]) ).
cnf(c_0_258,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_62,c_0_252]),c_0_63]) ).
cnf(c_0_259,negated_conjecture,
multiplication(c(esk3_0),multiplication(esk2_0,esk3_0)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_100]) ).
cnf(c_0_260,negated_conjecture,
multiplication(esk2_0,multiplication(esk3_0,c(esk2_0))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_71]),c_0_41]) ).
cnf(c_0_261,negated_conjecture,
( addition(c(esk2_0),c(esk3_0)) != c(multiplication(esk2_0,esk3_0))
| ~ test(multiplication(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_256,c_0_249]) ).
cnf(c_0_262,negated_conjecture,
test(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_34,c_0_257]),c_0_258]),c_0_259]),c_0_80]),c_0_157]),c_0_260])]) ).
cnf(c_0_263,negated_conjecture,
addition(c(esk2_0),c(esk3_0)) != c(multiplication(esk2_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_261,c_0_262])]) ).
cnf(c_0_264,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(spm,[status(thm)],[c_0_64,c_0_257]),c_0_80]),c_0_157]),c_0_260]),c_0_258]),c_0_259])]),c_0_263]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KLE016+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 11:59:20 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 166.04/166.00 % Version : CSE_E---1.5
% 166.04/166.00 % Problem : theBenchmark.p
% 166.04/166.00 % Proof found
% 166.04/166.00 % SZS status Theorem for theBenchmark.p
% 166.04/166.00 % SZS output start Proof
% See solution above
% 166.04/166.01 % Total time : 165.439000 s
% 166.04/166.01 % SZS output end Proof
% 166.04/166.01 % Total time : 165.449000 s
%------------------------------------------------------------------------------