TSTP Solution File: KLE031+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : KLE031+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n015.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 18:04:44 EDT 2023
% Result : Theorem 219.22s 28.49s
% Output : CNFRefutation 219.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 15
% Syntax : Number of formulae : 122 ( 76 unt; 0 def)
% Number of atoms : 238 ( 117 equ)
% Maximal formula atoms : 20 ( 1 avg)
% Number of connectives : 208 ( 92 ~; 87 |; 20 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 162 ( 4 sgn; 71 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
! [X4,X5,X6,X7] :
( ( test(X7)
& ismeet(X4,X5,X6) )
=> ismeet(multiplication(X7,X4),multiplication(X7,X5),multiplication(X7,X6)) ),
file('/export/starexec/sandbox2/tmp/tmp.neUYXrdPUK/E---3.1_30466.p',goals) ).
fof(ismeet,axiom,
! [X4,X5,X6] :
( ismeet(X6,X4,X5)
<=> ( leq(X6,X4)
& leq(X6,X5)
& ! [X7] :
( ( leq(X7,X4)
& leq(X7,X5) )
=> leq(X7,X6) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.neUYXrdPUK/E---3.1_30466.p',ismeet) ).
fof(order,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> addition(X1,X2) = X2 ),
file('/export/starexec/sandbox2/tmp/tmp.neUYXrdPUK/E---3.1_30466.p',order) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/tmp/tmp.neUYXrdPUK/E---3.1_30466.p',additive_commutativity) ).
fof(right_distributivity,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/export/starexec/sandbox2/tmp/tmp.neUYXrdPUK/E---3.1_30466.p',right_distributivity) ).
fof(additive_associativity,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/export/starexec/sandbox2/tmp/tmp.neUYXrdPUK/E---3.1_30466.p',additive_associativity) ).
fof(additive_idempotence,axiom,
! [X1] : addition(X1,X1) = X1,
file('/export/starexec/sandbox2/tmp/tmp.neUYXrdPUK/E---3.1_30466.p',additive_idempotence) ).
fof(test_3,axiom,
! [X4,X5] :
( test(X4)
=> ( c(X4) = X5
<=> complement(X4,X5) ) ),
file('/export/starexec/sandbox2/tmp/tmp.neUYXrdPUK/E---3.1_30466.p',test_3) ).
fof(test_1,axiom,
! [X4] :
( test(X4)
<=> ? [X5] : complement(X5,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.neUYXrdPUK/E---3.1_30466.p',test_1) ).
fof(test_2,axiom,
! [X4,X5] :
( complement(X5,X4)
<=> ( multiplication(X4,X5) = zero
& multiplication(X5,X4) = zero
& addition(X4,X5) = one ) ),
file('/export/starexec/sandbox2/tmp/tmp.neUYXrdPUK/E---3.1_30466.p',test_2) ).
fof(left_distributivity,axiom,
! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/export/starexec/sandbox2/tmp/tmp.neUYXrdPUK/E---3.1_30466.p',left_distributivity) ).
fof(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox2/tmp/tmp.neUYXrdPUK/E---3.1_30466.p',multiplicative_left_identity) ).
fof(multiplicative_associativity,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/export/starexec/sandbox2/tmp/tmp.neUYXrdPUK/E---3.1_30466.p',multiplicative_associativity) ).
fof(left_annihilation,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/export/starexec/sandbox2/tmp/tmp.neUYXrdPUK/E---3.1_30466.p',left_annihilation) ).
fof(additive_identity,axiom,
! [X1] : addition(X1,zero) = X1,
file('/export/starexec/sandbox2/tmp/tmp.neUYXrdPUK/E---3.1_30466.p',additive_identity) ).
fof(c_0_15,negated_conjecture,
~ ! [X4,X5,X6,X7] :
( ( test(X7)
& ismeet(X4,X5,X6) )
=> ismeet(multiplication(X7,X4),multiplication(X7,X5),multiplication(X7,X6)) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_16,negated_conjecture,
( test(esk4_0)
& ismeet(esk1_0,esk2_0,esk3_0)
& ~ ismeet(multiplication(esk4_0,esk1_0),multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
fof(c_0_17,plain,
! [X12,X13,X14,X15,X16,X17,X18] :
( ( leq(X14,X12)
| ~ ismeet(X14,X12,X13) )
& ( leq(X14,X13)
| ~ ismeet(X14,X12,X13) )
& ( ~ leq(X15,X12)
| ~ leq(X15,X13)
| leq(X15,X14)
| ~ ismeet(X14,X12,X13) )
& ( leq(esk5_3(X16,X17,X18),X16)
| ~ leq(X18,X16)
| ~ leq(X18,X17)
| ismeet(X18,X16,X17) )
& ( leq(esk5_3(X16,X17,X18),X17)
| ~ leq(X18,X16)
| ~ leq(X18,X17)
| ismeet(X18,X16,X17) )
& ( ~ leq(esk5_3(X16,X17,X18),X18)
| ~ leq(X18,X16)
| ~ leq(X18,X17)
| ismeet(X18,X16,X17) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ismeet])])])])])]) ).
fof(c_0_18,plain,
! [X42,X43] :
( ( ~ leq(X42,X43)
| addition(X42,X43) = X43 )
& ( addition(X42,X43) != X43
| leq(X42,X43) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[order])]) ).
cnf(c_0_19,negated_conjecture,
~ ismeet(multiplication(esk4_0,esk1_0),multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,plain,
( leq(esk5_3(X1,X2,X3),X1)
| ismeet(X3,X1,X2)
| ~ leq(X3,X1)
| ~ leq(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_21,plain,
! [X53,X54] : addition(X53,X54) = addition(X54,X53),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
cnf(c_0_22,plain,
( addition(X1,X2) = X2
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,negated_conjecture,
( leq(esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_0)),multiplication(esk4_0,esk2_0))
| ~ leq(multiplication(esk4_0,esk1_0),multiplication(esk4_0,esk3_0))
| ~ leq(multiplication(esk4_0,esk1_0),multiplication(esk4_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,plain,
( leq(X1,X2)
| ~ ismeet(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,negated_conjecture,
ismeet(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_27,negated_conjecture,
( addition(multiplication(esk4_0,esk2_0),esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_0))) = multiplication(esk4_0,esk2_0)
| ~ leq(multiplication(esk4_0,esk1_0),multiplication(esk4_0,esk3_0))
| ~ leq(multiplication(esk4_0,esk1_0),multiplication(esk4_0,esk2_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_28,plain,
( leq(X1,X2)
| addition(X1,X2) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_29,plain,
! [X25,X26,X27] : multiplication(X25,addition(X26,X27)) = addition(multiplication(X25,X26),multiplication(X25,X27)),
inference(variable_rename,[status(thm)],[right_distributivity]) ).
cnf(c_0_30,negated_conjecture,
leq(esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
( leq(X1,X2)
| ~ ismeet(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_32,negated_conjecture,
( addition(multiplication(esk4_0,esk2_0),esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_0))) = multiplication(esk4_0,esk2_0)
| addition(multiplication(esk4_0,esk1_0),multiplication(esk4_0,esk3_0)) != multiplication(esk4_0,esk3_0)
| ~ leq(multiplication(esk4_0,esk1_0),multiplication(esk4_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,negated_conjecture,
addition(esk1_0,esk3_0) = esk3_0,
inference(spm,[status(thm)],[c_0_22,c_0_30]) ).
cnf(c_0_35,negated_conjecture,
leq(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_31,c_0_26]) ).
cnf(c_0_36,negated_conjecture,
( addition(multiplication(esk4_0,esk2_0),esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_0))) = multiplication(esk4_0,esk2_0)
| addition(multiplication(esk4_0,esk1_0),multiplication(esk4_0,esk3_0)) != multiplication(esk4_0,esk3_0)
| addition(multiplication(esk4_0,esk1_0),multiplication(esk4_0,esk2_0)) != multiplication(esk4_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_28]) ).
cnf(c_0_37,negated_conjecture,
addition(multiplication(X1,esk1_0),multiplication(X1,esk3_0)) = multiplication(X1,esk3_0),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,negated_conjecture,
addition(esk1_0,esk2_0) = esk2_0,
inference(spm,[status(thm)],[c_0_22,c_0_35]) ).
cnf(c_0_39,plain,
( leq(esk5_3(X1,X2,X3),X2)
| ismeet(X3,X1,X2)
| ~ leq(X3,X1)
| ~ leq(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_40,plain,
! [X55,X56,X57] : addition(X57,addition(X56,X55)) = addition(addition(X57,X56),X55),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
cnf(c_0_41,negated_conjecture,
( addition(multiplication(esk4_0,esk2_0),esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_0))) = multiplication(esk4_0,esk2_0)
| addition(multiplication(esk4_0,esk1_0),multiplication(esk4_0,esk2_0)) != multiplication(esk4_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37])]) ).
cnf(c_0_42,negated_conjecture,
addition(multiplication(X1,esk1_0),multiplication(X1,esk2_0)) = multiplication(X1,esk2_0),
inference(spm,[status(thm)],[c_0_33,c_0_38]) ).
fof(c_0_43,plain,
! [X59] : addition(X59,X59) = X59,
inference(variable_rename,[status(thm)],[additive_idempotence]) ).
fof(c_0_44,plain,
! [X39,X40] :
( ( c(X39) != X40
| complement(X39,X40)
| ~ test(X39) )
& ( ~ complement(X39,X40)
| c(X39) = X40
| ~ test(X39) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_3])])]) ).
cnf(c_0_45,negated_conjecture,
( leq(esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_0)),multiplication(esk4_0,esk3_0))
| ~ leq(multiplication(esk4_0,esk1_0),multiplication(esk4_0,esk3_0))
| ~ leq(multiplication(esk4_0,esk1_0),multiplication(esk4_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_39]) ).
cnf(c_0_46,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_47,negated_conjecture,
addition(multiplication(esk4_0,esk2_0),esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_0))) = multiplication(esk4_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42])]) ).
cnf(c_0_48,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_49,plain,
( complement(X1,X2)
| c(X1) != X2
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_50,negated_conjecture,
( addition(multiplication(esk4_0,esk3_0),esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_0))) = multiplication(esk4_0,esk3_0)
| ~ leq(multiplication(esk4_0,esk1_0),multiplication(esk4_0,esk3_0))
| ~ leq(multiplication(esk4_0,esk1_0),multiplication(esk4_0,esk2_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_45]),c_0_24]) ).
fof(c_0_51,plain,
! [X35,X37,X38] :
( ( ~ test(X35)
| complement(esk6_1(X35),X35) )
& ( ~ complement(X38,X37)
| test(X37) ) ),
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_52,negated_conjecture,
addition(multiplication(esk4_0,esk2_0),addition(esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_0)),X1)) = addition(multiplication(esk4_0,esk2_0),X1),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_53,plain,
addition(X1,addition(X2,addition(X1,X2))) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_48,c_0_46]) ).
fof(c_0_54,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_55,plain,
( complement(X1,c(X1))
| ~ test(X1) ),
inference(er,[status(thm)],[c_0_49]) ).
cnf(c_0_56,negated_conjecture,
test(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_57,negated_conjecture,
( addition(multiplication(esk4_0,esk3_0),esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_0))) = multiplication(esk4_0,esk3_0)
| addition(multiplication(esk4_0,esk1_0),multiplication(esk4_0,esk3_0)) != multiplication(esk4_0,esk3_0)
| ~ leq(multiplication(esk4_0,esk1_0),multiplication(esk4_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_50,c_0_28]) ).
cnf(c_0_58,plain,
( complement(esk6_1(X1),X1)
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_59,plain,
addition(X1,addition(X2,X3)) = addition(X2,addition(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_24]),c_0_46]) ).
cnf(c_0_60,negated_conjecture,
addition(multiplication(esk4_0,esk2_0),addition(X1,addition(esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_0)),X1))) = addition(multiplication(esk4_0,esk2_0),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_52]) ).
fof(c_0_61,plain,
! [X28,X29,X30] : multiplication(addition(X28,X29),X30) = addition(multiplication(X28,X30),multiplication(X29,X30)),
inference(variable_rename,[status(thm)],[left_distributivity]) ).
cnf(c_0_62,plain,
( addition(X1,X2) = one
| ~ complement(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_63,negated_conjecture,
complement(esk4_0,c(esk4_0)),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
fof(c_0_64,plain,
! [X24] : multiplication(one,X24) = X24,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
cnf(c_0_65,negated_conjecture,
( addition(multiplication(esk4_0,esk3_0),esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_0))) = multiplication(esk4_0,esk3_0)
| addition(multiplication(esk4_0,esk1_0),multiplication(esk4_0,esk3_0)) != multiplication(esk4_0,esk3_0)
| addition(multiplication(esk4_0,esk1_0),multiplication(esk4_0,esk2_0)) != multiplication(esk4_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_57,c_0_28]) ).
cnf(c_0_66,negated_conjecture,
complement(esk6_1(esk4_0),esk4_0),
inference(spm,[status(thm)],[c_0_58,c_0_56]) ).
cnf(c_0_67,negated_conjecture,
addition(X1,addition(multiplication(esk4_0,esk2_0),X1)) = addition(multiplication(esk4_0,esk2_0),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_52]) ).
cnf(c_0_68,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_69,negated_conjecture,
addition(esk4_0,c(esk4_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_24]) ).
cnf(c_0_70,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_71,negated_conjecture,
( addition(multiplication(esk4_0,esk3_0),addition(esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_0)),X1)) = addition(multiplication(esk4_0,esk3_0),X1)
| addition(multiplication(esk4_0,esk1_0),multiplication(esk4_0,esk3_0)) != multiplication(esk4_0,esk3_0)
| addition(multiplication(esk4_0,esk1_0),multiplication(esk4_0,esk2_0)) != multiplication(esk4_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_65]) ).
cnf(c_0_72,negated_conjecture,
addition(esk4_0,esk6_1(esk4_0)) = one,
inference(spm,[status(thm)],[c_0_62,c_0_66]) ).
cnf(c_0_73,negated_conjecture,
addition(X1,addition(X2,addition(multiplication(esk4_0,esk2_0),X1))) = addition(X2,addition(multiplication(esk4_0,esk2_0),X1)),
inference(spm,[status(thm)],[c_0_59,c_0_67]) ).
cnf(c_0_74,negated_conjecture,
addition(multiplication(esk4_0,X1),multiplication(c(esk4_0),X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).
cnf(c_0_75,plain,
addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
inference(spm,[status(thm)],[c_0_24,c_0_46]) ).
cnf(c_0_76,negated_conjecture,
( addition(multiplication(esk4_0,esk3_0),addition(X1,esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_0)))) = addition(multiplication(esk4_0,esk3_0),X1)
| addition(multiplication(esk4_0,esk1_0),multiplication(esk4_0,esk3_0)) != multiplication(esk4_0,esk3_0)
| addition(multiplication(esk4_0,esk1_0),multiplication(esk4_0,esk2_0)) != multiplication(esk4_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_71,c_0_24]) ).
cnf(c_0_77,negated_conjecture,
addition(esk4_0,addition(esk6_1(esk4_0),X1)) = addition(one,X1),
inference(spm,[status(thm)],[c_0_46,c_0_72]) ).
cnf(c_0_78,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_46,c_0_48]) ).
cnf(c_0_79,negated_conjecture,
addition(esk2_0,addition(multiplication(c(esk4_0),esk2_0),X1)) = addition(X1,esk2_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]) ).
cnf(c_0_80,plain,
( leq(X1,X4)
| ~ leq(X1,X2)
| ~ leq(X1,X3)
| ~ ismeet(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_81,negated_conjecture,
addition(multiplication(esk4_0,esk3_0),addition(X1,esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_0)))) = addition(multiplication(esk4_0,esk3_0),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_37])]),c_0_42])]) ).
cnf(c_0_82,negated_conjecture,
addition(one,esk6_1(esk4_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_48]),c_0_72]) ).
cnf(c_0_83,negated_conjecture,
addition(esk2_0,addition(X1,esk2_0)) = addition(X1,esk2_0),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_84,negated_conjecture,
( leq(X1,esk1_0)
| ~ leq(X1,esk3_0)
| ~ leq(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_80,c_0_26]) ).
cnf(c_0_85,negated_conjecture,
addition(multiplication(esk4_0,esk3_0),addition(esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_0)),X1)) = addition(multiplication(esk4_0,esk3_0),X1),
inference(spm,[status(thm)],[c_0_81,c_0_24]) ).
cnf(c_0_86,negated_conjecture,
addition(one,esk4_0) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_72]),c_0_24]),c_0_82]),c_0_24]) ).
cnf(c_0_87,negated_conjecture,
addition(esk2_0,addition(X1,addition(esk2_0,X2))) = addition(X1,addition(esk2_0,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_83]),c_0_46]),c_0_46]) ).
cnf(c_0_88,plain,
( ismeet(X3,X1,X2)
| ~ leq(esk5_3(X1,X2,X3),X3)
| ~ leq(X3,X1)
| ~ leq(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_89,negated_conjecture,
( leq(X1,esk1_0)
| addition(X1,esk3_0) != esk3_0
| ~ leq(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_84,c_0_28]) ).
cnf(c_0_90,negated_conjecture,
addition(X1,addition(multiplication(esk4_0,esk3_0),X2)) = addition(esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_0)),addition(X2,addition(X1,multiplication(esk4_0,esk3_0)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_85]),c_0_46]) ).
cnf(c_0_91,negated_conjecture,
addition(esk1_0,addition(esk3_0,X1)) = addition(esk3_0,X1),
inference(spm,[status(thm)],[c_0_46,c_0_34]) ).
cnf(c_0_92,negated_conjecture,
addition(X1,multiplication(esk4_0,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_86]),c_0_70]),c_0_70]) ).
cnf(c_0_93,negated_conjecture,
addition(X1,addition(esk2_0,X1)) = addition(esk2_0,X1),
inference(spm,[status(thm)],[c_0_53,c_0_87]) ).
cnf(c_0_94,negated_conjecture,
( ~ leq(esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_0)),multiplication(esk4_0,esk1_0))
| ~ leq(multiplication(esk4_0,esk1_0),multiplication(esk4_0,esk3_0))
| ~ leq(multiplication(esk4_0,esk1_0),multiplication(esk4_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_88]) ).
cnf(c_0_95,negated_conjecture,
( leq(X1,esk1_0)
| addition(esk3_0,X1) != esk3_0
| ~ leq(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_89,c_0_24]) ).
cnf(c_0_96,negated_conjecture,
addition(esk3_0,esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_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_90,c_0_91]),c_0_24]),c_0_59]),c_0_92]),c_0_34]),c_0_92]),c_0_24]) ).
cnf(c_0_97,negated_conjecture,
addition(X1,addition(X2,addition(esk2_0,X1))) = addition(X2,addition(esk2_0,X1)),
inference(spm,[status(thm)],[c_0_59,c_0_93]) ).
fof(c_0_98,plain,
! [X20,X21,X22] : multiplication(X20,multiplication(X21,X22)) = multiplication(multiplication(X20,X21),X22),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
cnf(c_0_99,plain,
( multiplication(X1,X2) = zero
| ~ complement(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
fof(c_0_100,plain,
! [X32] : multiplication(zero,X32) = zero,
inference(variable_rename,[status(thm)],[left_annihilation]) ).
fof(c_0_101,plain,
! [X58] : addition(X58,zero) = X58,
inference(variable_rename,[status(thm)],[additive_identity]) ).
cnf(c_0_102,negated_conjecture,
( addition(multiplication(esk4_0,esk1_0),esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_0))) != multiplication(esk4_0,esk1_0)
| ~ leq(multiplication(esk4_0,esk1_0),multiplication(esk4_0,esk3_0))
| ~ leq(multiplication(esk4_0,esk1_0),multiplication(esk4_0,esk2_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_28]),c_0_24]) ).
cnf(c_0_103,negated_conjecture,
( leq(esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_0)),esk1_0)
| ~ leq(esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_0)),esk2_0) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_104,negated_conjecture,
addition(esk2_0,esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_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_52,c_0_97]),c_0_92]),c_0_24]),c_0_92]),c_0_24]),c_0_92]) ).
cnf(c_0_105,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_106,negated_conjecture,
multiplication(c(esk4_0),esk4_0) = zero,
inference(spm,[status(thm)],[c_0_99,c_0_63]) ).
cnf(c_0_107,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_108,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_109,negated_conjecture,
( addition(multiplication(esk4_0,esk1_0),esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_0))) != multiplication(esk4_0,esk1_0)
| addition(multiplication(esk4_0,esk1_0),multiplication(esk4_0,esk3_0)) != multiplication(esk4_0,esk3_0)
| ~ leq(multiplication(esk4_0,esk1_0),multiplication(esk4_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_102,c_0_28]) ).
cnf(c_0_110,negated_conjecture,
leq(esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_0)),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_28]),c_0_24]),c_0_104])]) ).
cnf(c_0_111,negated_conjecture,
addition(multiplication(X1,multiplication(esk4_0,esk2_0)),multiplication(X1,esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_0)))) = multiplication(X1,multiplication(esk4_0,esk2_0)),
inference(spm,[status(thm)],[c_0_33,c_0_47]) ).
cnf(c_0_112,negated_conjecture,
multiplication(c(esk4_0),multiplication(esk4_0,X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107]) ).
cnf(c_0_113,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_108,c_0_24]) ).
cnf(c_0_114,negated_conjecture,
( addition(multiplication(esk4_0,esk1_0),esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_0))) != multiplication(esk4_0,esk1_0)
| addition(multiplication(esk4_0,esk1_0),multiplication(esk4_0,esk3_0)) != multiplication(esk4_0,esk3_0)
| addition(multiplication(esk4_0,esk1_0),multiplication(esk4_0,esk2_0)) != multiplication(esk4_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_109,c_0_28]) ).
cnf(c_0_115,negated_conjecture,
addition(esk1_0,esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_0))) = esk1_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_110]),c_0_24]) ).
cnf(c_0_116,negated_conjecture,
multiplication(c(esk4_0),esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_0))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]) ).
cnf(c_0_117,negated_conjecture,
( addition(multiplication(esk4_0,esk1_0),esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_0))) != multiplication(esk4_0,esk1_0)
| addition(multiplication(esk4_0,esk1_0),multiplication(esk4_0,esk2_0)) != multiplication(esk4_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_37])]) ).
cnf(c_0_118,negated_conjecture,
addition(multiplication(X1,esk1_0),multiplication(X1,esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_0)))) = multiplication(X1,esk1_0),
inference(spm,[status(thm)],[c_0_33,c_0_115]) ).
cnf(c_0_119,negated_conjecture,
multiplication(esk4_0,esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_0))) = esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_116]),c_0_108]) ).
cnf(c_0_120,negated_conjecture,
addition(multiplication(esk4_0,esk1_0),esk5_3(multiplication(esk4_0,esk2_0),multiplication(esk4_0,esk3_0),multiplication(esk4_0,esk1_0))) != multiplication(esk4_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_42])]) ).
cnf(c_0_121,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : KLE031+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n015.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Oct 3 05:03:46 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.42 Running first-order model finding
% 0.16/0.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.neUYXrdPUK/E---3.1_30466.p
% 219.22/28.49 # Version: 3.1pre001
% 219.22/28.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 219.22/28.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 219.22/28.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 219.22/28.49 # Starting new_bool_3 with 300s (1) cores
% 219.22/28.49 # Starting new_bool_1 with 300s (1) cores
% 219.22/28.49 # Starting sh5l with 300s (1) cores
% 219.22/28.49 # sh5l with pid 30546 completed with status 0
% 219.22/28.49 # Result found by sh5l
% 219.22/28.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 219.22/28.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 219.22/28.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 219.22/28.49 # Starting new_bool_3 with 300s (1) cores
% 219.22/28.49 # Starting new_bool_1 with 300s (1) cores
% 219.22/28.49 # Starting sh5l with 300s (1) cores
% 219.22/28.49 # SinE strategy is gf500_gu_R04_F100_L20000
% 219.22/28.49 # Search class: FGUSM-FFMF32-SFFFFFNN
% 219.22/28.49 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 219.22/28.49 # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S070I with 90s (1) cores
% 219.22/28.49 # G-E--_208_B00_00_F1_SE_CS_SP_PS_S070I with pid 30550 completed with status 0
% 219.22/28.49 # Result found by G-E--_208_B00_00_F1_SE_CS_SP_PS_S070I
% 219.22/28.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 219.22/28.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 219.22/28.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 219.22/28.49 # Starting new_bool_3 with 300s (1) cores
% 219.22/28.49 # Starting new_bool_1 with 300s (1) cores
% 219.22/28.49 # Starting sh5l with 300s (1) cores
% 219.22/28.49 # SinE strategy is gf500_gu_R04_F100_L20000
% 219.22/28.49 # Search class: FGUSM-FFMF32-SFFFFFNN
% 219.22/28.49 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 219.22/28.49 # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S070I with 90s (1) cores
% 219.22/28.49 # Preprocessing time : 0.001 s
% 219.22/28.49 # Presaturation interreduction done
% 219.22/28.49
% 219.22/28.49 # Proof found!
% 219.22/28.49 # SZS status Theorem
% 219.22/28.49 # SZS output start CNFRefutation
% See solution above
% 219.22/28.49 # Parsed axioms : 19
% 219.22/28.49 # Removed by relevancy pruning/SinE : 0
% 219.22/28.49 # Initial clauses : 37
% 219.22/28.49 # Removed in clause preprocessing : 0
% 219.22/28.49 # Initial clauses in saturation : 37
% 219.22/28.49 # Processed clauses : 44556
% 219.22/28.49 # ...of these trivial : 1665
% 219.22/28.49 # ...subsumed : 38049
% 219.22/28.49 # ...remaining for further processing : 4842
% 219.22/28.49 # Other redundant clauses eliminated : 1541
% 219.22/28.49 # Clauses deleted for lack of memory : 0
% 219.22/28.49 # Backward-subsumed : 398
% 219.22/28.49 # Backward-rewritten : 256
% 219.22/28.49 # Generated clauses : 833680
% 219.22/28.49 # ...of the previous two non-redundant : 621143
% 219.22/28.49 # ...aggressively subsumed : 0
% 219.22/28.49 # Contextual simplify-reflections : 129
% 219.22/28.49 # Paramodulations : 831847
% 219.22/28.49 # Factorizations : 292
% 219.22/28.49 # NegExts : 0
% 219.22/28.49 # Equation resolutions : 1541
% 219.22/28.49 # Total rewrite steps : 1903987
% 219.22/28.49 # Propositional unsat checks : 0
% 219.22/28.49 # Propositional check models : 0
% 219.22/28.49 # Propositional check unsatisfiable : 0
% 219.22/28.49 # Propositional clauses : 0
% 219.22/28.49 # Propositional clauses after purity: 0
% 219.22/28.49 # Propositional unsat core size : 0
% 219.22/28.49 # Propositional preprocessing time : 0.000
% 219.22/28.49 # Propositional encoding time : 0.000
% 219.22/28.49 # Propositional solver time : 0.000
% 219.22/28.49 # Success case prop preproc time : 0.000
% 219.22/28.49 # Success case prop encoding time : 0.000
% 219.22/28.49 # Success case prop solver time : 0.000
% 219.22/28.49 # Current number of processed clauses : 4150
% 219.22/28.49 # Positive orientable unit clauses : 641
% 219.22/28.49 # Positive unorientable unit clauses: 56
% 219.22/28.49 # Negative unit clauses : 4
% 219.22/28.49 # Non-unit-clauses : 3449
% 219.22/28.49 # Current number of unprocessed clauses: 571555
% 219.22/28.49 # ...number of literals in the above : 1754407
% 219.22/28.49 # Current number of archived formulas : 0
% 219.22/28.49 # Current number of archived clauses : 691
% 219.22/28.49 # Clause-clause subsumption calls (NU) : 4307946
% 219.22/28.49 # Rec. Clause-clause subsumption calls : 3083523
% 219.22/28.49 # Non-unit clause-clause subsumptions : 35457
% 219.22/28.49 # Unit Clause-clause subsumption calls : 15507
% 219.22/28.49 # Rewrite failures with RHS unbound : 0
% 219.22/28.49 # BW rewrite match attempts : 18618
% 219.22/28.49 # BW rewrite match successes : 2595
% 219.22/28.49 # Condensation attempts : 0
% 219.22/28.49 # Condensation successes : 0
% 219.22/28.49 # Termbank termtop insertions : 32481282
% 219.22/28.49
% 219.22/28.49 # -------------------------------------------------
% 219.22/28.49 # User time : 25.476 s
% 219.22/28.49 # System time : 0.533 s
% 219.22/28.49 # Total time : 26.009 s
% 219.22/28.49 # Maximum resident set size: 1876 pages
% 219.22/28.49
% 219.22/28.49 # -------------------------------------------------
% 219.22/28.49 # User time : 25.477 s
% 219.22/28.49 # System time : 0.536 s
% 219.22/28.49 # Total time : 26.013 s
% 219.22/28.49 # Maximum resident set size: 1688 pages
% 219.22/28.49 % E---3.1 exiting
%------------------------------------------------------------------------------