TSTP Solution File: KLE008+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : KLE008+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n003.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 18:03:48 EDT 2023
% Result : Theorem 2.84s 0.84s
% Output : CNFRefutation 2.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 17
% Syntax : Number of formulae : 166 ( 68 unt; 0 def)
% Number of atoms : 326 ( 187 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 285 ( 125 ~; 136 |; 13 &)
% ( 6 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 164 ( 8 sgn; 65 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(test_3,axiom,
! [X4,X5] :
( test(X4)
=> ( c(X4) = X5
<=> complement(X4,X5) ) ),
file('/export/starexec/sandbox/tmp/tmp.hAnSekKVNu/E---3.1_4262.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/sandbox/tmp/tmp.hAnSekKVNu/E---3.1_4262.p',test_2) ).
fof(goals,conjecture,
! [X4,X5,X6] :
( test(X6)
=> ( leq(X4,multiplication(X6,X5))
<=> ( leq(X4,X5)
& leq(multiplication(c(X6),X4),zero) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.hAnSekKVNu/E---3.1_4262.p',goals) ).
fof(right_distributivity,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/export/starexec/sandbox/tmp/tmp.hAnSekKVNu/E---3.1_4262.p',right_distributivity) ).
fof(additive_identity,axiom,
! [X1] : addition(X1,zero) = X1,
file('/export/starexec/sandbox/tmp/tmp.hAnSekKVNu/E---3.1_4262.p',additive_identity) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.hAnSekKVNu/E---3.1_4262.p',additive_commutativity) ).
fof(order,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> addition(X1,X2) = X2 ),
file('/export/starexec/sandbox/tmp/tmp.hAnSekKVNu/E---3.1_4262.p',order) ).
fof(multiplicative_right_identity,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/export/starexec/sandbox/tmp/tmp.hAnSekKVNu/E---3.1_4262.p',multiplicative_right_identity) ).
fof(additive_associativity,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/export/starexec/sandbox/tmp/tmp.hAnSekKVNu/E---3.1_4262.p',additive_associativity) ).
fof(additive_idempotence,axiom,
! [X1] : addition(X1,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.hAnSekKVNu/E---3.1_4262.p',additive_idempotence) ).
fof(test_1,axiom,
! [X4] :
( test(X4)
<=> ? [X5] : complement(X5,X4) ),
file('/export/starexec/sandbox/tmp/tmp.hAnSekKVNu/E---3.1_4262.p',test_1) ).
fof(left_distributivity,axiom,
! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/export/starexec/sandbox/tmp/tmp.hAnSekKVNu/E---3.1_4262.p',left_distributivity) ).
fof(multiplicative_associativity,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/export/starexec/sandbox/tmp/tmp.hAnSekKVNu/E---3.1_4262.p',multiplicative_associativity) ).
fof(left_annihilation,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/export/starexec/sandbox/tmp/tmp.hAnSekKVNu/E---3.1_4262.p',left_annihilation) ).
fof(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.hAnSekKVNu/E---3.1_4262.p',multiplicative_left_identity) ).
fof(right_annihilation,axiom,
! [X1] : multiplication(X1,zero) = zero,
file('/export/starexec/sandbox/tmp/tmp.hAnSekKVNu/E---3.1_4262.p',right_annihilation) ).
fof(test_4,axiom,
! [X4] :
( ~ test(X4)
=> c(X4) = zero ),
file('/export/starexec/sandbox/tmp/tmp.hAnSekKVNu/E---3.1_4262.p',test_4) ).
fof(c_0_17,plain,
! [X35,X36] :
( ( c(X35) != X36
| complement(X35,X36)
| ~ test(X35) )
& ( ~ complement(X35,X36)
| c(X35) = X36
| ~ test(X35) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_3])])]) ).
fof(c_0_18,plain,
! [X33,X34] :
( ( multiplication(X33,X34) = zero
| ~ complement(X34,X33) )
& ( multiplication(X34,X33) = zero
| ~ complement(X34,X33) )
& ( addition(X33,X34) = one
| ~ complement(X34,X33) )
& ( multiplication(X33,X34) != zero
| multiplication(X34,X33) != zero
| addition(X33,X34) != one
| complement(X34,X33) ) ),
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,X6] :
( test(X6)
=> ( leq(X4,multiplication(X6,X5))
<=> ( leq(X4,X5)
& leq(multiplication(c(X6),X4),zero) ) ) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_21,plain,
! [X19,X20,X21] : multiplication(X19,addition(X20,X21)) = addition(multiplication(X19,X20),multiplication(X19,X21)),
inference(variable_rename,[status(thm)],[right_distributivity]) ).
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,plain,
! [X12] : addition(X12,zero) = X12,
inference(variable_rename,[status(thm)],[additive_identity]) ).
fof(c_0_25,plain,
! [X7,X8] : addition(X7,X8) = addition(X8,X7),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
fof(c_0_26,plain,
! [X27,X28] :
( ( ~ leq(X27,X28)
| addition(X27,X28) = X28 )
& ( addition(X27,X28) != X28
| leq(X27,X28) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[order])]) ).
fof(c_0_27,negated_conjecture,
( test(esk4_0)
& ( ~ leq(esk2_0,multiplication(esk4_0,esk3_0))
| ~ leq(esk2_0,esk3_0)
| ~ leq(multiplication(c(esk4_0),esk2_0),zero) )
& ( leq(esk2_0,esk3_0)
| leq(esk2_0,multiplication(esk4_0,esk3_0)) )
& ( leq(multiplication(c(esk4_0),esk2_0),zero)
| leq(esk2_0,multiplication(esk4_0,esk3_0)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])]) ).
cnf(c_0_28,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,plain,
( multiplication(X1,c(X1)) = zero
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_30,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,plain,
( addition(X1,X2) = one
| ~ complement(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_32,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_33,plain,
! [X17] : multiplication(X17,one) = X17,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
fof(c_0_34,plain,
! [X9,X10,X11] : addition(X11,addition(X10,X9)) = addition(addition(X11,X10),X9),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
fof(c_0_35,plain,
! [X13] : addition(X13,X13) = X13,
inference(variable_rename,[status(thm)],[additive_idempotence]) ).
fof(c_0_36,plain,
! [X29,X31,X32] :
( ( ~ test(X29)
| complement(esk1_1(X29),X29) )
& ( ~ complement(X32,X31)
| test(X31) ) ),
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])])])])]) ).
fof(c_0_37,plain,
! [X22,X23,X24] : multiplication(addition(X22,X23),X24) = addition(multiplication(X22,X24),multiplication(X23,X24)),
inference(variable_rename,[status(thm)],[left_distributivity]) ).
cnf(c_0_38,plain,
( addition(X1,X2) = X2
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_39,negated_conjecture,
( leq(multiplication(c(esk4_0),esk2_0),zero)
| leq(esk2_0,multiplication(esk4_0,esk3_0)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_40,plain,
! [X14,X15,X16] : multiplication(X14,multiplication(X15,X16)) = multiplication(multiplication(X14,X15),X16),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
cnf(c_0_41,plain,
( multiplication(X1,X2) = zero
| ~ complement(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_42,plain,
! [X26] : multiplication(zero,X26) = zero,
inference(variable_rename,[status(thm)],[left_annihilation]) ).
cnf(c_0_43,plain,
( multiplication(X1,addition(X2,c(X1))) = multiplication(X1,X2)
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_44,plain,
( addition(X1,c(X1)) = one
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_23]),c_0_32]) ).
cnf(c_0_45,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_46,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_47,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_48,plain,
( complement(esk1_1(X1),X1)
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_49,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_50,negated_conjecture,
( multiplication(c(esk4_0),esk2_0) = zero
| leq(esk2_0,multiplication(esk4_0,esk3_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_30]) ).
fof(c_0_51,plain,
! [X18] : multiplication(one,X18) = X18,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
cnf(c_0_52,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_53,plain,
( multiplication(c(X1),X1) = zero
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_23]) ).
cnf(c_0_54,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_55,plain,
( multiplication(X1,X1) = X1
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).
cnf(c_0_56,negated_conjecture,
test(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_57,plain,
( c(X1) = X2
| ~ complement(X1,X2)
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_58,plain,
( complement(X2,X1)
| multiplication(X1,X2) != zero
| multiplication(X2,X1) != zero
| addition(X1,X2) != one ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_59,plain,
( test(X2)
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_60,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_61,plain,
( addition(X1,esk1_1(X1)) = one
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_48]) ).
cnf(c_0_62,negated_conjecture,
( multiplication(addition(X1,c(esk4_0)),esk2_0) = multiplication(X1,esk2_0)
| leq(esk2_0,multiplication(esk4_0,esk3_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_30]) ).
cnf(c_0_63,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_64,plain,
( multiplication(c(X1),multiplication(X1,X2)) = zero
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).
cnf(c_0_65,negated_conjecture,
multiplication(esk4_0,esk4_0) = esk4_0,
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_66,plain,
( c(X1) = X2
| addition(X2,X1) != one
| multiplication(X1,X2) != zero
| multiplication(X2,X1) != zero
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_67,plain,
( test(X1)
| addition(X1,X2) != one
| multiplication(X2,X1) != zero
| multiplication(X1,X2) != zero ),
inference(spm,[status(thm)],[c_0_59,c_0_58]) ).
cnf(c_0_68,plain,
( addition(X1,one) = one
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_69,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_30,c_0_32]) ).
cnf(c_0_70,negated_conjecture,
( multiplication(esk4_0,esk2_0) = esk2_0
| leq(esk2_0,multiplication(esk4_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_44]),c_0_63]),c_0_56])]) ).
cnf(c_0_71,negated_conjecture,
multiplication(c(esk4_0),esk4_0) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_56])]) ).
cnf(c_0_72,negated_conjecture,
( leq(esk2_0,esk3_0)
| leq(esk2_0,multiplication(esk4_0,esk3_0)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_73,plain,
( c(X1) = X2
| addition(X1,X2) != one
| multiplication(X1,X2) != zero
| multiplication(X2,X1) != zero ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_32]),c_0_67]) ).
cnf(c_0_74,negated_conjecture,
addition(esk4_0,one) = one,
inference(spm,[status(thm)],[c_0_68,c_0_56]) ).
cnf(c_0_75,negated_conjecture,
( multiplication(addition(c(esk4_0),X1),esk2_0) = multiplication(X1,esk2_0)
| leq(esk2_0,multiplication(esk4_0,esk3_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_69]) ).
cnf(c_0_76,negated_conjecture,
( ~ leq(esk2_0,multiplication(esk4_0,esk3_0))
| ~ leq(esk2_0,esk3_0)
| ~ leq(multiplication(c(esk4_0),esk2_0),zero) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_77,plain,
( leq(X1,X2)
| addition(X1,X2) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_78,plain,
( multiplication(c(X1),addition(X2,multiplication(X1,X3))) = multiplication(c(X1),X2)
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_64]),c_0_30]) ).
cnf(c_0_79,negated_conjecture,
( addition(esk2_0,multiplication(esk4_0,esk3_0)) = multiplication(esk4_0,esk3_0)
| multiplication(esk4_0,esk2_0) = esk2_0 ),
inference(spm,[status(thm)],[c_0_38,c_0_70]) ).
cnf(c_0_80,negated_conjecture,
multiplication(c(esk4_0),multiplication(esk4_0,X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_71]),c_0_54]) ).
cnf(c_0_81,negated_conjecture,
( addition(esk2_0,multiplication(esk4_0,esk3_0)) = multiplication(esk4_0,esk3_0)
| leq(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_72]) ).
cnf(c_0_82,negated_conjecture,
( c(esk4_0) = one
| esk4_0 != zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_45]),c_0_63])]) ).
cnf(c_0_83,plain,
( multiplication(X1,multiplication(c(X1),X2)) = zero
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_29]),c_0_54]) ).
cnf(c_0_84,negated_conjecture,
( multiplication(c(c(esk4_0)),esk2_0) = esk2_0
| leq(esk2_0,multiplication(esk4_0,esk3_0))
| ~ test(c(esk4_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_44]),c_0_63]) ).
cnf(c_0_85,plain,
( test(c(X1))
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_23]) ).
cnf(c_0_86,negated_conjecture,
( multiplication(c(esk4_0),esk2_0) != zero
| ~ leq(esk2_0,multiplication(esk4_0,esk3_0))
| ~ leq(esk2_0,esk3_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_30]) ).
cnf(c_0_87,negated_conjecture,
( multiplication(c(esk4_0),esk2_0) = zero
| multiplication(esk4_0,esk2_0) = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]),c_0_56])]) ).
cnf(c_0_88,plain,
addition(X1,addition(X2,X3)) = addition(X2,addition(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_32]),c_0_46]) ).
cnf(c_0_89,negated_conjecture,
( addition(esk2_0,multiplication(esk4_0,esk3_0)) = multiplication(esk4_0,esk3_0)
| addition(esk2_0,esk3_0) = esk3_0 ),
inference(spm,[status(thm)],[c_0_38,c_0_81]) ).
cnf(c_0_90,negated_conjecture,
( esk4_0 != zero
| ~ leq(esk2_0,multiplication(esk4_0,esk3_0))
| ~ leq(esk2_0,zero)
| ~ leq(esk2_0,esk3_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_82]),c_0_63]) ).
cnf(c_0_91,negated_conjecture,
( multiplication(esk4_0,X1) = zero
| esk4_0 != zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_82]),c_0_63]),c_0_56])]) ).
cnf(c_0_92,negated_conjecture,
( multiplication(c(c(esk4_0)),esk2_0) = esk2_0
| leq(esk2_0,multiplication(esk4_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_56])]) ).
cnf(c_0_93,negated_conjecture,
( multiplication(esk4_0,esk2_0) = esk2_0
| ~ leq(esk2_0,esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_70]) ).
cnf(c_0_94,negated_conjecture,
( addition(esk2_0,addition(X1,multiplication(esk4_0,esk3_0))) = addition(X1,multiplication(esk4_0,esk3_0))
| addition(esk2_0,esk3_0) = esk3_0 ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_95,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_63]),c_0_32]) ).
cnf(c_0_96,negated_conjecture,
( esk4_0 != zero
| ~ leq(esk2_0,zero)
| ~ leq(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
fof(c_0_97,plain,
! [X25] : multiplication(X25,zero) = zero,
inference(variable_rename,[status(thm)],[right_annihilation]) ).
cnf(c_0_98,negated_conjecture,
( multiplication(c(c(c(esk4_0))),esk2_0) = zero
| leq(esk2_0,multiplication(esk4_0,esk3_0))
| ~ test(c(c(esk4_0))) ),
inference(spm,[status(thm)],[c_0_64,c_0_92]) ).
cnf(c_0_99,negated_conjecture,
( multiplication(esk4_0,esk2_0) = esk2_0
| addition(esk2_0,esk3_0) != esk3_0 ),
inference(spm,[status(thm)],[c_0_93,c_0_77]) ).
cnf(c_0_100,negated_conjecture,
addition(esk2_0,esk3_0) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_74]),c_0_63]),c_0_74]),c_0_63])]) ).
cnf(c_0_101,negated_conjecture,
( addition(esk2_0,multiplication(esk4_0,esk3_0)) = multiplication(esk4_0,esk3_0)
| esk4_0 != zero
| ~ leq(esk2_0,zero) ),
inference(spm,[status(thm)],[c_0_96,c_0_81]) ).
cnf(c_0_102,plain,
multiplication(X1,zero) = zero,
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_103,negated_conjecture,
( multiplication(c(c(c(esk4_0))),esk2_0) = zero
| leq(esk2_0,multiplication(esk4_0,esk3_0))
| ~ test(c(esk4_0)) ),
inference(spm,[status(thm)],[c_0_98,c_0_85]) ).
cnf(c_0_104,negated_conjecture,
multiplication(esk4_0,esk2_0) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_100])]) ).
cnf(c_0_105,plain,
( multiplication(addition(X1,X2),c(X2)) = multiplication(X1,c(X2))
| ~ test(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_29]),c_0_30]) ).
cnf(c_0_106,negated_conjecture,
( addition(esk2_0,multiplication(esk4_0,esk3_0)) = multiplication(esk4_0,esk3_0)
| esk4_0 != zero
| esk2_0 != zero ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_77]),c_0_30]) ).
cnf(c_0_107,plain,
( c(zero) = one
| ~ test(zero) ),
inference(spm,[status(thm)],[c_0_69,c_0_44]) ).
cnf(c_0_108,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_67,c_0_69]),c_0_102]),c_0_54])])]) ).
cnf(c_0_109,negated_conjecture,
( multiplication(c(c(c(esk4_0))),esk2_0) = zero
| leq(esk2_0,multiplication(esk4_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_85]),c_0_56])]) ).
cnf(c_0_110,negated_conjecture,
multiplication(c(esk4_0),esk2_0) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_104]),c_0_56])]) ).
cnf(c_0_111,negated_conjecture,
( multiplication(esk4_0,multiplication(esk3_0,c(multiplication(esk4_0,esk3_0)))) = multiplication(esk2_0,c(multiplication(esk4_0,esk3_0)))
| esk4_0 != zero
| esk2_0 != zero
| ~ test(multiplication(esk4_0,esk3_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_52]) ).
cnf(c_0_112,plain,
c(zero) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_108])]) ).
cnf(c_0_113,negated_conjecture,
multiplication(addition(c(esk4_0),X1),esk4_0) = multiplication(X1,esk4_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_71]),c_0_69]) ).
cnf(c_0_114,plain,
( multiplication(c(X1),addition(X2,X1)) = multiplication(c(X1),X2)
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_53]),c_0_30]) ).
cnf(c_0_115,negated_conjecture,
( multiplication(c(c(c(esk4_0))),addition(esk2_0,X1)) = multiplication(c(c(c(esk4_0))),X1)
| leq(esk2_0,multiplication(esk4_0,esk3_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_109]),c_0_69]) ).
cnf(c_0_116,negated_conjecture,
( ~ leq(esk2_0,multiplication(esk4_0,esk3_0))
| ~ leq(esk2_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_110])]) ).
cnf(c_0_117,negated_conjecture,
multiplication(esk4_0,multiplication(esk4_0,X1)) = multiplication(esk4_0,X1),
inference(spm,[status(thm)],[c_0_52,c_0_65]) ).
cnf(c_0_118,negated_conjecture,
( multiplication(esk4_0,esk3_0) = esk2_0
| esk4_0 != zero
| esk2_0 != zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_91]),c_0_112]),c_0_45]),c_0_112]),c_0_45]),c_0_108])]) ).
cnf(c_0_119,negated_conjecture,
( multiplication(esk4_0,esk2_0) = esk2_0
| esk2_0 = zero
| esk4_0 != zero ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_91]),c_0_30]) ).
cnf(c_0_120,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_45]),c_0_32]) ).
cnf(c_0_121,negated_conjecture,
( multiplication(c(c(esk4_0)),esk4_0) = esk4_0
| ~ test(c(esk4_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_44]),c_0_63]) ).
cnf(c_0_122,negated_conjecture,
( multiplication(c(c(c(esk4_0))),c(c(esk4_0))) = multiplication(c(c(c(esk4_0))),esk2_0)
| leq(esk2_0,multiplication(esk4_0,esk3_0))
| ~ test(c(c(esk4_0))) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_123,negated_conjecture,
( addition(esk2_0,multiplication(esk4_0,esk3_0)) != multiplication(esk4_0,esk3_0)
| ~ leq(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_116,c_0_77]) ).
cnf(c_0_124,negated_conjecture,
( multiplication(esk4_0,esk2_0) = esk2_0
| esk4_0 != zero ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119]) ).
cnf(c_0_125,negated_conjecture,
( addition(esk4_0,c(c(esk4_0))) = c(c(esk4_0))
| ~ test(c(esk4_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_74]),c_0_45]),c_0_32]) ).
cnf(c_0_126,negated_conjecture,
( multiplication(c(c(c(esk4_0))),c(c(esk4_0))) = multiplication(c(c(c(esk4_0))),esk2_0)
| leq(esk2_0,multiplication(esk4_0,esk3_0))
| ~ test(c(esk4_0)) ),
inference(spm,[status(thm)],[c_0_122,c_0_85]) ).
cnf(c_0_127,negated_conjecture,
addition(esk2_0,multiplication(esk4_0,esk3_0)) != multiplication(esk4_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_77]),c_0_100])]) ).
cnf(c_0_128,negated_conjecture,
( esk2_0 != zero
| esk4_0 != zero
| ~ leq(esk2_0,multiplication(esk4_0,esk3_0))
| ~ leq(esk2_0,esk3_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_82]),c_0_63]) ).
cnf(c_0_129,negated_conjecture,
( esk2_0 = zero
| esk4_0 != zero ),
inference(spm,[status(thm)],[c_0_91,c_0_124]) ).
cnf(c_0_130,negated_conjecture,
( multiplication(c(c(c(esk4_0))),c(c(esk4_0))) = multiplication(c(c(c(esk4_0))),esk4_0)
| ~ test(c(esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_125]),c_0_85]) ).
cnf(c_0_131,negated_conjecture,
( multiplication(c(c(c(esk4_0))),c(c(esk4_0))) = multiplication(c(c(c(esk4_0))),esk2_0)
| leq(esk2_0,multiplication(esk4_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_85]),c_0_56])]) ).
cnf(c_0_132,negated_conjecture,
leq(esk2_0,esk3_0),
inference(sr,[status(thm)],[c_0_81,c_0_127]) ).
cnf(c_0_133,negated_conjecture,
( esk4_0 != zero
| ~ leq(esk2_0,esk2_0)
| ~ leq(esk2_0,esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_118]),c_0_129]) ).
cnf(c_0_134,negated_conjecture,
( multiplication(c(c(c(esk4_0))),esk4_0) = multiplication(c(c(c(esk4_0))),esk2_0)
| leq(esk2_0,multiplication(esk4_0,esk3_0))
| ~ test(c(esk4_0)) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_135,negated_conjecture,
~ leq(esk2_0,multiplication(esk4_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_132])]) ).
fof(c_0_136,plain,
! [X4] :
( ~ test(X4)
=> c(X4) = zero ),
inference(fof_simplification,[status(thm)],[test_4]) ).
cnf(c_0_137,negated_conjecture,
( addition(esk2_0,esk3_0) != esk3_0
| esk4_0 != zero
| ~ leq(esk2_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_133,c_0_77]) ).
cnf(c_0_138,negated_conjecture,
( multiplication(c(c(c(esk4_0))),esk4_0) = multiplication(c(c(c(esk4_0))),esk2_0)
| leq(esk2_0,multiplication(esk4_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_85]),c_0_56])]) ).
cnf(c_0_139,negated_conjecture,
multiplication(c(c(c(esk4_0))),esk2_0) = zero,
inference(sr,[status(thm)],[c_0_109,c_0_135]) ).
fof(c_0_140,plain,
! [X37] :
( test(X37)
| c(X37) = zero ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_136])]) ).
cnf(c_0_141,negated_conjecture,
( addition(esk2_0,esk3_0) != esk3_0
| esk4_0 != zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_77]),c_0_47])]) ).
cnf(c_0_142,plain,
( multiplication(X1,multiplication(X2,c(multiplication(X1,X2)))) = zero
| ~ test(multiplication(X1,X2)) ),
inference(spm,[status(thm)],[c_0_52,c_0_29]) ).
cnf(c_0_143,negated_conjecture,
multiplication(c(c(c(esk4_0))),esk4_0) = zero,
inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_138,c_0_135]),c_0_139]) ).
cnf(c_0_144,plain,
( test(X1)
| c(X1) = zero ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_145,negated_conjecture,
esk4_0 != zero,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_118]),c_0_74]),c_0_63]),c_0_32]),c_0_129]),c_0_141]) ).
cnf(c_0_146,negated_conjecture,
multiplication(esk4_0,multiplication(esk4_0,c(esk4_0))) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_65]),c_0_56])]) ).
cnf(c_0_147,negated_conjecture,
test(c(esk4_0)),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_112]),c_0_63]),c_0_145]) ).
cnf(c_0_148,plain,
( multiplication(esk1_1(X1),X1) = zero
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_48]) ).
cnf(c_0_149,plain,
( multiplication(X1,esk1_1(X1)) = zero
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_48]) ).
cnf(c_0_150,negated_conjecture,
multiplication(esk4_0,c(esk4_0)) = zero,
inference(rw,[status(thm)],[c_0_146,c_0_117]) ).
cnf(c_0_151,plain,
( addition(X1,addition(X2,c(X1))) = addition(X2,one)
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_44]) ).
cnf(c_0_152,negated_conjecture,
addition(esk4_0,c(c(esk4_0))) = c(c(esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_147])]) ).
cnf(c_0_153,plain,
( c(esk1_1(X1)) = X1
| ~ test(esk1_1(X1))
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_48]) ).
cnf(c_0_154,plain,
( esk1_1(X1) = c(X1)
| ~ test(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_61]),c_0_148]),c_0_149]) ).
cnf(c_0_155,negated_conjecture,
multiplication(esk4_0,addition(c(esk4_0),X1)) = multiplication(esk4_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_150]),c_0_69]) ).
cnf(c_0_156,negated_conjecture,
addition(c(esk4_0),c(c(esk4_0))) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_74]),c_0_147])]) ).
cnf(c_0_157,plain,
( c(c(X1)) = X1
| ~ test(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_85]) ).
cnf(c_0_158,negated_conjecture,
( multiplication(esk4_0,c(c(esk4_0))) = esk4_0
| ~ test(c(esk4_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_44]),c_0_45]) ).
cnf(c_0_159,negated_conjecture,
( addition(esk2_0,multiplication(c(c(esk4_0)),X1)) = multiplication(c(c(esk4_0)),addition(esk2_0,X1))
| leq(esk2_0,multiplication(esk4_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_28,c_0_92]) ).
cnf(c_0_160,negated_conjecture,
addition(esk4_0,c(esk4_0)) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_32]),c_0_56])]) ).
cnf(c_0_161,negated_conjecture,
multiplication(esk4_0,c(c(esk4_0))) = esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_147])]) ).
cnf(c_0_162,negated_conjecture,
addition(esk2_0,multiplication(c(c(esk4_0)),X1)) = multiplication(c(c(esk4_0)),addition(esk2_0,X1)),
inference(sr,[status(thm)],[c_0_159,c_0_135]) ).
cnf(c_0_163,negated_conjecture,
c(c(esk4_0)) = esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_160]),c_0_63]),c_0_161]),c_0_147])]) ).
cnf(c_0_164,negated_conjecture,
addition(esk2_0,multiplication(esk4_0,X1)) = multiplication(esk4_0,addition(esk2_0,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_163]),c_0_163]) ).
cnf(c_0_165,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_164]),c_0_100])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : KLE008+1 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.12 % Command : run_E %s %d THM
% 0.10/0.32 % Computer : n003.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 2400
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Oct 3 04:53:33 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.hAnSekKVNu/E---3.1_4262.p
% 2.84/0.84 # Version: 3.1pre001
% 2.84/0.84 # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.84/0.84 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.84/0.84 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.84/0.84 # Starting new_bool_3 with 300s (1) cores
% 2.84/0.84 # Starting new_bool_1 with 300s (1) cores
% 2.84/0.84 # Starting sh5l with 300s (1) cores
% 2.84/0.84 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4341 completed with status 0
% 2.84/0.84 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 2.84/0.84 # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.84/0.84 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.84/0.84 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.84/0.84 # No SInE strategy applied
% 2.84/0.84 # Search class: FGHSM-FFMS21-SFFFFFNN
% 2.84/0.84 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.84/0.84 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 811s (1) cores
% 2.84/0.84 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.84/0.84 # Starting new_bool_3 with 136s (1) cores
% 2.84/0.84 # Starting new_bool_1 with 136s (1) cores
% 2.84/0.84 # Starting sh5l with 136s (1) cores
% 2.84/0.84 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4346 completed with status 0
% 2.84/0.84 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 2.84/0.84 # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.84/0.84 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.84/0.84 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.84/0.84 # No SInE strategy applied
% 2.84/0.84 # Search class: FGHSM-FFMS21-SFFFFFNN
% 2.84/0.84 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.84/0.84 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 811s (1) cores
% 2.84/0.84 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.84/0.84 # Preprocessing time : 0.001 s
% 2.84/0.84 # Presaturation interreduction done
% 2.84/0.84
% 2.84/0.84 # Proof found!
% 2.84/0.84 # SZS status Theorem
% 2.84/0.84 # SZS output start CNFRefutation
% See solution above
% 2.84/0.84 # Parsed axioms : 17
% 2.84/0.84 # Removed by relevancy pruning/SinE : 0
% 2.84/0.84 # Initial clauses : 26
% 2.84/0.84 # Removed in clause preprocessing : 0
% 2.84/0.84 # Initial clauses in saturation : 26
% 2.84/0.84 # Processed clauses : 3339
% 2.84/0.84 # ...of these trivial : 141
% 2.84/0.84 # ...subsumed : 2365
% 2.84/0.84 # ...remaining for further processing : 833
% 2.84/0.84 # Other redundant clauses eliminated : 264
% 2.84/0.84 # Clauses deleted for lack of memory : 0
% 2.84/0.84 # Backward-subsumed : 191
% 2.84/0.84 # Backward-rewritten : 198
% 2.84/0.84 # Generated clauses : 28559
% 2.84/0.84 # ...of the previous two non-redundant : 20966
% 2.84/0.84 # ...aggressively subsumed : 0
% 2.84/0.84 # Contextual simplify-reflections : 89
% 2.84/0.84 # Paramodulations : 28234
% 2.84/0.84 # Factorizations : 0
% 2.84/0.84 # NegExts : 0
% 2.84/0.84 # Equation resolutions : 264
% 2.84/0.84 # Total rewrite steps : 31725
% 2.84/0.84 # Propositional unsat checks : 0
% 2.84/0.84 # Propositional check models : 0
% 2.84/0.84 # Propositional check unsatisfiable : 0
% 2.84/0.84 # Propositional clauses : 0
% 2.84/0.84 # Propositional clauses after purity: 0
% 2.84/0.84 # Propositional unsat core size : 0
% 2.84/0.84 # Propositional preprocessing time : 0.000
% 2.84/0.84 # Propositional encoding time : 0.000
% 2.84/0.84 # Propositional solver time : 0.000
% 2.84/0.84 # Success case prop preproc time : 0.000
% 2.84/0.84 # Success case prop encoding time : 0.000
% 2.84/0.84 # Success case prop solver time : 0.000
% 2.84/0.84 # Current number of processed clauses : 356
% 2.84/0.84 # Positive orientable unit clauses : 99
% 2.84/0.84 # Positive unorientable unit clauses: 4
% 2.84/0.84 # Negative unit clauses : 3
% 2.84/0.84 # Non-unit-clauses : 250
% 2.84/0.84 # Current number of unprocessed clauses: 17337
% 2.84/0.84 # ...number of literals in the above : 45100
% 2.84/0.84 # Current number of archived formulas : 0
% 2.84/0.84 # Current number of archived clauses : 476
% 2.84/0.84 # Clause-clause subsumption calls (NU) : 43564
% 2.84/0.84 # Rec. Clause-clause subsumption calls : 34121
% 2.84/0.84 # Non-unit clause-clause subsumptions : 2356
% 2.84/0.84 # Unit Clause-clause subsumption calls : 1812
% 2.84/0.84 # Rewrite failures with RHS unbound : 0
% 2.84/0.84 # BW rewrite match attempts : 171
% 2.84/0.84 # BW rewrite match successes : 105
% 2.84/0.84 # Condensation attempts : 0
% 2.84/0.84 # Condensation successes : 0
% 2.84/0.84 # Termbank termtop insertions : 399777
% 2.84/0.84
% 2.84/0.84 # -------------------------------------------------
% 2.84/0.84 # User time : 0.370 s
% 2.84/0.84 # System time : 0.019 s
% 2.84/0.84 # Total time : 0.389 s
% 2.84/0.84 # Maximum resident set size: 1780 pages
% 2.84/0.84
% 2.84/0.84 # -------------------------------------------------
% 2.84/0.84 # User time : 1.890 s
% 2.84/0.84 # System time : 0.032 s
% 2.84/0.84 # Total time : 1.922 s
% 2.84/0.84 # Maximum resident set size: 1684 pages
% 2.84/0.84 % E---3.1 exiting
% 2.84/0.84 % E---3.1 exiting
%------------------------------------------------------------------------------