TSTP Solution File: KLE032+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : KLE032+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n008.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 80.94s 10.70s
% Output : CNFRefutation 80.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 109 ( 70 unt; 0 def)
% Number of atoms : 211 ( 107 equ)
% Maximal formula atoms : 20 ( 1 avg)
% Number of connectives : 181 ( 79 ~; 73 |; 20 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 138 ( 2 sgn; 71 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
! [X4,X5,X6] :
( ( test(X6)
& test(X5) )
=> ismeet(multiplication(multiplication(X5,X6),X4),multiplication(X5,X4),multiplication(X6,X4)) ),
file('/export/starexec/sandbox/tmp/tmp.cy0dMey85X/E---3.1_5444.p',goals) ).
fof(test_3,axiom,
! [X4,X5] :
( test(X4)
=> ( c(X4) = X5
<=> complement(X4,X5) ) ),
file('/export/starexec/sandbox/tmp/tmp.cy0dMey85X/E---3.1_5444.p',test_3) ).
fof(multiplicative_associativity,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/export/starexec/sandbox/tmp/tmp.cy0dMey85X/E---3.1_5444.p',multiplicative_associativity) ).
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/sandbox/tmp/tmp.cy0dMey85X/E---3.1_5444.p',ismeet) ).
fof(test_1,axiom,
! [X4] :
( test(X4)
<=> ? [X5] : complement(X5,X4) ),
file('/export/starexec/sandbox/tmp/tmp.cy0dMey85X/E---3.1_5444.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/sandbox/tmp/tmp.cy0dMey85X/E---3.1_5444.p',test_2) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.cy0dMey85X/E---3.1_5444.p',additive_commutativity) ).
fof(order,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> addition(X1,X2) = X2 ),
file('/export/starexec/sandbox/tmp/tmp.cy0dMey85X/E---3.1_5444.p',order) ).
fof(additive_associativity,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/export/starexec/sandbox/tmp/tmp.cy0dMey85X/E---3.1_5444.p',additive_associativity) ).
fof(additive_idempotence,axiom,
! [X1] : addition(X1,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.cy0dMey85X/E---3.1_5444.p',additive_idempotence) ).
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.cy0dMey85X/E---3.1_5444.p',right_distributivity) ).
fof(multiplicative_right_identity,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/export/starexec/sandbox/tmp/tmp.cy0dMey85X/E---3.1_5444.p',multiplicative_right_identity) ).
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.cy0dMey85X/E---3.1_5444.p',left_distributivity) ).
fof(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.cy0dMey85X/E---3.1_5444.p',multiplicative_left_identity) ).
fof(additive_identity,axiom,
! [X1] : addition(X1,zero) = X1,
file('/export/starexec/sandbox/tmp/tmp.cy0dMey85X/E---3.1_5444.p',additive_identity) ).
fof(left_annihilation,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/export/starexec/sandbox/tmp/tmp.cy0dMey85X/E---3.1_5444.p',left_annihilation) ).
fof(c_0_16,negated_conjecture,
~ ! [X4,X5,X6] :
( ( test(X6)
& test(X5) )
=> ismeet(multiplication(multiplication(X5,X6),X4),multiplication(X5,X4),multiplication(X6,X4)) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_17,plain,
! [X36,X37] :
( ( c(X36) != X37
| complement(X36,X37)
| ~ test(X36) )
& ( ~ complement(X36,X37)
| c(X36) = X37
| ~ test(X36) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_3])])]) ).
fof(c_0_18,negated_conjecture,
( test(esk6_0)
& test(esk5_0)
& ~ ismeet(multiplication(multiplication(esk5_0,esk6_0),esk4_0),multiplication(esk5_0,esk4_0),multiplication(esk6_0,esk4_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
fof(c_0_19,plain,
! [X15,X16,X17] : multiplication(X15,multiplication(X16,X17)) = multiplication(multiplication(X15,X16),X17),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
cnf(c_0_20,plain,
( complement(X1,X2)
| c(X1) != X2
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,negated_conjecture,
~ ismeet(multiplication(multiplication(esk5_0,esk6_0),esk4_0),multiplication(esk5_0,esk4_0),multiplication(esk6_0,esk4_0)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_23,plain,
! [X39,X40,X41,X42,X43,X44,X45] :
( ( leq(X41,X39)
| ~ ismeet(X41,X39,X40) )
& ( leq(X41,X40)
| ~ ismeet(X41,X39,X40) )
& ( ~ leq(X42,X39)
| ~ leq(X42,X40)
| leq(X42,X41)
| ~ ismeet(X41,X39,X40) )
& ( leq(esk2_3(X43,X44,X45),X43)
| ~ leq(X45,X43)
| ~ leq(X45,X44)
| ismeet(X45,X43,X44) )
& ( leq(esk2_3(X43,X44,X45),X44)
| ~ leq(X45,X43)
| ~ leq(X45,X44)
| ismeet(X45,X43,X44) )
& ( ~ leq(esk2_3(X43,X44,X45),X45)
| ~ leq(X45,X43)
| ~ leq(X45,X44)
| ismeet(X45,X43,X44) ) ),
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_24,plain,
! [X30,X32,X33] :
( ( ~ test(X30)
| complement(esk1_1(X30),X30) )
& ( ~ complement(X33,X32)
| test(X32) ) ),
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_25,plain,
! [X34,X35] :
( ( multiplication(X34,X35) = zero
| ~ complement(X35,X34) )
& ( multiplication(X35,X34) = zero
| ~ complement(X35,X34) )
& ( addition(X34,X35) = one
| ~ complement(X35,X34) )
& ( multiplication(X34,X35) != zero
| multiplication(X35,X34) != zero
| addition(X34,X35) != one
| complement(X35,X34) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_2])])]) ).
cnf(c_0_26,plain,
( complement(X1,c(X1))
| ~ test(X1) ),
inference(er,[status(thm)],[c_0_20]) ).
cnf(c_0_27,negated_conjecture,
test(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_28,plain,
! [X8,X9] : addition(X8,X9) = addition(X9,X8),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
fof(c_0_29,plain,
! [X28,X29] :
( ( ~ leq(X28,X29)
| addition(X28,X29) = X29 )
& ( addition(X28,X29) != X29
| leq(X28,X29) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[order])]) ).
cnf(c_0_30,negated_conjecture,
~ ismeet(multiplication(esk5_0,multiplication(esk6_0,esk4_0)),multiplication(esk5_0,esk4_0),multiplication(esk6_0,esk4_0)),
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_31,plain,
( leq(esk2_3(X1,X2,X3),X2)
| ismeet(X3,X1,X2)
| ~ leq(X3,X1)
| ~ leq(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_32,plain,
! [X10,X11,X12] : addition(X12,addition(X11,X10)) = addition(addition(X12,X11),X10),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
fof(c_0_33,plain,
! [X14] : addition(X14,X14) = X14,
inference(variable_rename,[status(thm)],[additive_idempotence]) ).
cnf(c_0_34,plain,
( complement(esk1_1(X1),X1)
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_35,negated_conjecture,
test(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_36,plain,
! [X20,X21,X22] : multiplication(X20,addition(X21,X22)) = addition(multiplication(X20,X21),multiplication(X20,X22)),
inference(variable_rename,[status(thm)],[right_distributivity]) ).
cnf(c_0_37,plain,
( addition(X1,X2) = one
| ~ complement(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_38,negated_conjecture,
complement(esk6_0,c(esk6_0)),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_39,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_40,plain,
! [X18] : multiplication(X18,one) = X18,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
cnf(c_0_41,plain,
( leq(esk2_3(X1,X2,X3),X1)
| ismeet(X3,X1,X2)
| ~ leq(X3,X1)
| ~ leq(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_42,plain,
( addition(X1,X2) = X2
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_43,negated_conjecture,
( leq(esk2_3(multiplication(esk5_0,esk4_0),multiplication(esk6_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0))),multiplication(esk6_0,esk4_0))
| ~ leq(multiplication(esk5_0,multiplication(esk6_0,esk4_0)),multiplication(esk6_0,esk4_0))
| ~ leq(multiplication(esk5_0,multiplication(esk6_0,esk4_0)),multiplication(esk5_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_44,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_45,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_46,negated_conjecture,
complement(esk1_1(esk5_0),esk5_0),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_47,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_48,negated_conjecture,
addition(esk6_0,c(esk6_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_49,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_50,negated_conjecture,
( leq(esk2_3(multiplication(esk5_0,esk4_0),multiplication(esk6_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0))),multiplication(esk5_0,esk4_0))
| ~ leq(multiplication(esk5_0,multiplication(esk6_0,esk4_0)),multiplication(esk6_0,esk4_0))
| ~ leq(multiplication(esk5_0,multiplication(esk6_0,esk4_0)),multiplication(esk5_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_30,c_0_41]) ).
cnf(c_0_51,negated_conjecture,
( addition(multiplication(esk6_0,esk4_0),esk2_3(multiplication(esk5_0,esk4_0),multiplication(esk6_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0)))) = multiplication(esk6_0,esk4_0)
| ~ leq(multiplication(esk5_0,multiplication(esk6_0,esk4_0)),multiplication(esk6_0,esk4_0))
| ~ leq(multiplication(esk5_0,multiplication(esk6_0,esk4_0)),multiplication(esk5_0,esk4_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_39]) ).
cnf(c_0_52,plain,
( leq(X1,X2)
| addition(X1,X2) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_53,plain,
! [X23,X24,X25] : multiplication(addition(X23,X24),X25) = addition(multiplication(X23,X25),multiplication(X24,X25)),
inference(variable_rename,[status(thm)],[left_distributivity]) ).
cnf(c_0_54,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_55,negated_conjecture,
addition(esk5_0,esk1_1(esk5_0)) = one,
inference(spm,[status(thm)],[c_0_37,c_0_46]) ).
fof(c_0_56,plain,
! [X19] : multiplication(one,X19) = X19,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
cnf(c_0_57,negated_conjecture,
complement(esk5_0,c(esk5_0)),
inference(spm,[status(thm)],[c_0_26,c_0_35]) ).
cnf(c_0_58,negated_conjecture,
addition(multiplication(X1,esk6_0),multiplication(X1,c(esk6_0))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
fof(c_0_59,plain,
! [X13] : addition(X13,zero) = X13,
inference(variable_rename,[status(thm)],[additive_identity]) ).
cnf(c_0_60,plain,
( ismeet(X3,X1,X2)
| ~ leq(esk2_3(X1,X2,X3),X3)
| ~ leq(X3,X1)
| ~ leq(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_61,negated_conjecture,
( addition(multiplication(esk5_0,esk4_0),esk2_3(multiplication(esk5_0,esk4_0),multiplication(esk6_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0)))) = multiplication(esk5_0,esk4_0)
| ~ leq(multiplication(esk5_0,multiplication(esk6_0,esk4_0)),multiplication(esk6_0,esk4_0))
| ~ leq(multiplication(esk5_0,multiplication(esk6_0,esk4_0)),multiplication(esk5_0,esk4_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_50]),c_0_39]) ).
cnf(c_0_62,negated_conjecture,
( addition(multiplication(esk6_0,esk4_0),esk2_3(multiplication(esk5_0,esk4_0),multiplication(esk6_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0)))) = multiplication(esk6_0,esk4_0)
| addition(multiplication(esk6_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0))) != multiplication(esk6_0,esk4_0)
| ~ leq(multiplication(esk5_0,multiplication(esk6_0,esk4_0)),multiplication(esk5_0,esk4_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_39]) ).
cnf(c_0_63,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_64,negated_conjecture,
addition(one,esk5_0) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_39]) ).
cnf(c_0_65,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_66,negated_conjecture,
addition(esk5_0,c(esk5_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_57]),c_0_39]) ).
cnf(c_0_67,negated_conjecture,
addition(X1,multiplication(X1,esk6_0)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_58]),c_0_39]) ).
cnf(c_0_68,plain,
( multiplication(X1,X2) = zero
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_69,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_70,negated_conjecture,
( ~ leq(esk2_3(multiplication(esk5_0,esk4_0),multiplication(esk6_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0))),multiplication(esk5_0,multiplication(esk6_0,esk4_0)))
| ~ leq(multiplication(esk5_0,multiplication(esk6_0,esk4_0)),multiplication(esk6_0,esk4_0))
| ~ leq(multiplication(esk5_0,multiplication(esk6_0,esk4_0)),multiplication(esk5_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_30,c_0_60]) ).
cnf(c_0_71,negated_conjecture,
( addition(multiplication(esk5_0,esk4_0),esk2_3(multiplication(esk5_0,esk4_0),multiplication(esk6_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0)))) = multiplication(esk5_0,esk4_0)
| addition(multiplication(esk6_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0))) != multiplication(esk6_0,esk4_0)
| ~ leq(multiplication(esk5_0,multiplication(esk6_0,esk4_0)),multiplication(esk5_0,esk4_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_52]),c_0_39]) ).
cnf(c_0_72,negated_conjecture,
( addition(multiplication(esk6_0,esk4_0),esk2_3(multiplication(esk5_0,esk4_0),multiplication(esk6_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0)))) = multiplication(esk6_0,esk4_0)
| addition(multiplication(esk6_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0))) != multiplication(esk6_0,esk4_0)
| addition(multiplication(esk5_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0))) != multiplication(esk5_0,esk4_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_52]),c_0_39]) ).
cnf(c_0_73,negated_conjecture,
addition(X1,multiplication(esk5_0,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]),c_0_65]) ).
cnf(c_0_74,plain,
( multiplication(X1,X2) = zero
| ~ complement(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_75,negated_conjecture,
addition(multiplication(X1,esk5_0),multiplication(X1,c(esk5_0))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_66]),c_0_49]) ).
cnf(c_0_76,negated_conjecture,
addition(multiplication(X1,X2),multiplication(X1,multiplication(esk6_0,X2))) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_67]),c_0_22]) ).
cnf(c_0_77,negated_conjecture,
multiplication(esk5_0,c(esk5_0)) = zero,
inference(spm,[status(thm)],[c_0_68,c_0_57]) ).
cnf(c_0_78,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_69,c_0_39]) ).
cnf(c_0_79,negated_conjecture,
( addition(multiplication(esk5_0,multiplication(esk6_0,esk4_0)),esk2_3(multiplication(esk5_0,esk4_0),multiplication(esk6_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0)))) != multiplication(esk5_0,multiplication(esk6_0,esk4_0))
| ~ leq(multiplication(esk5_0,multiplication(esk6_0,esk4_0)),multiplication(esk6_0,esk4_0))
| ~ leq(multiplication(esk5_0,multiplication(esk6_0,esk4_0)),multiplication(esk5_0,esk4_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_52]),c_0_39]) ).
cnf(c_0_80,negated_conjecture,
( addition(multiplication(esk5_0,esk4_0),esk2_3(multiplication(esk5_0,esk4_0),multiplication(esk6_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0)))) = multiplication(esk5_0,esk4_0)
| addition(multiplication(esk6_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0))) != multiplication(esk6_0,esk4_0)
| addition(multiplication(esk5_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0))) != multiplication(esk5_0,esk4_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_52]),c_0_39]) ).
cnf(c_0_81,negated_conjecture,
( addition(multiplication(esk6_0,esk4_0),esk2_3(multiplication(esk5_0,esk4_0),multiplication(esk6_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0)))) = multiplication(esk6_0,esk4_0)
| addition(multiplication(esk5_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0))) != multiplication(esk5_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_73])]) ).
fof(c_0_82,plain,
! [X27] : multiplication(zero,X27) = zero,
inference(variable_rename,[status(thm)],[left_annihilation]) ).
cnf(c_0_83,negated_conjecture,
addition(esk5_0,addition(c(esk5_0),X1)) = addition(one,X1),
inference(spm,[status(thm)],[c_0_44,c_0_66]) ).
cnf(c_0_84,negated_conjecture,
multiplication(c(esk5_0),esk5_0) = zero,
inference(spm,[status(thm)],[c_0_74,c_0_57]) ).
cnf(c_0_85,negated_conjecture,
addition(multiplication(X1,multiplication(X2,esk5_0)),multiplication(X1,multiplication(X2,c(esk5_0)))) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_47,c_0_75]) ).
cnf(c_0_86,negated_conjecture,
multiplication(esk5_0,multiplication(esk6_0,c(esk5_0))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).
cnf(c_0_87,negated_conjecture,
( addition(multiplication(esk5_0,multiplication(esk6_0,esk4_0)),esk2_3(multiplication(esk5_0,esk4_0),multiplication(esk6_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0)))) != multiplication(esk5_0,multiplication(esk6_0,esk4_0))
| addition(multiplication(esk6_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0))) != multiplication(esk6_0,esk4_0)
| ~ leq(multiplication(esk5_0,multiplication(esk6_0,esk4_0)),multiplication(esk5_0,esk4_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_52]),c_0_39]) ).
cnf(c_0_88,negated_conjecture,
( addition(multiplication(esk5_0,esk4_0),esk2_3(multiplication(esk5_0,esk4_0),multiplication(esk6_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0)))) = multiplication(esk5_0,esk4_0)
| addition(multiplication(esk5_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0))) != multiplication(esk5_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_73])]) ).
cnf(c_0_89,plain,
addition(X1,addition(X2,X3)) = addition(X2,addition(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_39]),c_0_44]) ).
cnf(c_0_90,negated_conjecture,
addition(multiplication(esk6_0,X1),multiplication(c(esk6_0),X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_48]),c_0_65]) ).
cnf(c_0_91,negated_conjecture,
addition(multiplication(esk6_0,esk4_0),esk2_3(multiplication(esk5_0,esk4_0),multiplication(esk6_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0)))) = multiplication(esk6_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_76])]) ).
cnf(c_0_92,negated_conjecture,
multiplication(c(esk6_0),esk6_0) = zero,
inference(spm,[status(thm)],[c_0_74,c_0_38]) ).
cnf(c_0_93,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_94,negated_conjecture,
addition(multiplication(esk5_0,X1),addition(multiplication(c(esk5_0),X1),multiplication(X2,X1))) = addition(X1,multiplication(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_83]),c_0_63]),c_0_65]),c_0_63]) ).
cnf(c_0_95,negated_conjecture,
multiplication(c(esk5_0),multiplication(esk6_0,esk5_0)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_84]),c_0_78]) ).
cnf(c_0_96,negated_conjecture,
multiplication(esk5_0,multiplication(esk6_0,esk5_0)) = multiplication(esk5_0,esk6_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_69]) ).
cnf(c_0_97,negated_conjecture,
( addition(multiplication(esk5_0,multiplication(esk6_0,esk4_0)),esk2_3(multiplication(esk5_0,esk4_0),multiplication(esk6_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0)))) != multiplication(esk5_0,multiplication(esk6_0,esk4_0))
| addition(multiplication(esk6_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0))) != multiplication(esk6_0,esk4_0)
| addition(multiplication(esk5_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0))) != multiplication(esk5_0,esk4_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_52]),c_0_39]) ).
cnf(c_0_98,negated_conjecture,
addition(multiplication(esk5_0,esk4_0),esk2_3(multiplication(esk5_0,esk4_0),multiplication(esk6_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0)))) = multiplication(esk5_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_76])]) ).
cnf(c_0_99,negated_conjecture,
addition(multiplication(esk6_0,X1),addition(X2,multiplication(c(esk6_0),X1))) = addition(X2,X1),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_100,negated_conjecture,
addition(multiplication(X1,multiplication(esk6_0,esk4_0)),multiplication(X1,esk2_3(multiplication(esk5_0,esk4_0),multiplication(esk6_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0))))) = multiplication(X1,multiplication(esk6_0,esk4_0)),
inference(spm,[status(thm)],[c_0_47,c_0_91]) ).
cnf(c_0_101,negated_conjecture,
multiplication(c(esk6_0),multiplication(esk6_0,X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_92]),c_0_93]) ).
cnf(c_0_102,negated_conjecture,
multiplication(esk6_0,esk5_0) = multiplication(esk5_0,esk6_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_94,c_0_95]),c_0_96]),c_0_95]),c_0_45]),c_0_69]),c_0_69]) ).
cnf(c_0_103,negated_conjecture,
( addition(multiplication(esk5_0,multiplication(esk6_0,esk4_0)),esk2_3(multiplication(esk5_0,esk4_0),multiplication(esk6_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0)))) != multiplication(esk5_0,multiplication(esk6_0,esk4_0))
| addition(multiplication(esk5_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0))) != multiplication(esk5_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_73])]) ).
cnf(c_0_104,negated_conjecture,
addition(multiplication(X1,multiplication(esk5_0,esk4_0)),multiplication(X1,esk2_3(multiplication(esk5_0,esk4_0),multiplication(esk6_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0))))) = multiplication(X1,multiplication(esk5_0,esk4_0)),
inference(spm,[status(thm)],[c_0_47,c_0_98]) ).
cnf(c_0_105,negated_conjecture,
multiplication(esk6_0,esk2_3(multiplication(esk5_0,esk4_0),multiplication(esk6_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0)))) = esk2_3(multiplication(esk5_0,esk4_0),multiplication(esk6_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]),c_0_69]),c_0_101]),c_0_78]) ).
cnf(c_0_106,negated_conjecture,
multiplication(esk6_0,multiplication(esk5_0,X1)) = multiplication(esk5_0,multiplication(esk6_0,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_102]),c_0_22]) ).
cnf(c_0_107,negated_conjecture,
addition(multiplication(esk5_0,multiplication(esk6_0,esk4_0)),esk2_3(multiplication(esk5_0,esk4_0),multiplication(esk6_0,esk4_0),multiplication(esk5_0,multiplication(esk6_0,esk4_0)))) != multiplication(esk5_0,multiplication(esk6_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_76])]) ).
cnf(c_0_108,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106]),c_0_106]),c_0_107]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : KLE032+1 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.10 % Command : run_E %s %d THM
% 0.09/0.30 % Computer : n008.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 2400
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Oct 3 04:46:43 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.15/0.41 Running first-order model finding
% 0.15/0.41 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.cy0dMey85X/E---3.1_5444.p
% 80.94/10.70 # Version: 3.1pre001
% 80.94/10.70 # Preprocessing class: FSMSSMSSSSSNFFN.
% 80.94/10.70 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 80.94/10.70 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 80.94/10.70 # Starting new_bool_3 with 300s (1) cores
% 80.94/10.70 # Starting new_bool_1 with 300s (1) cores
% 80.94/10.70 # Starting sh5l with 300s (1) cores
% 80.94/10.70 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 5521 completed with status 0
% 80.94/10.70 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 80.94/10.70 # Preprocessing class: FSMSSMSSSSSNFFN.
% 80.94/10.70 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 80.94/10.70 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 80.94/10.70 # No SInE strategy applied
% 80.94/10.70 # Search class: FGUSM-FFMF32-SFFFFFNN
% 80.94/10.70 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 80.94/10.70 # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S070I with 450s (1) cores
% 80.94/10.70 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 80.94/10.70 # Starting new_bool_3 with 226s (1) cores
% 80.94/10.70 # Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 226s (1) cores
% 80.94/10.70 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4d with 226s (1) cores
% 80.94/10.70 # G-E--_208_B00_00_F1_SE_CS_SP_PS_S070I with pid 5527 completed with status 0
% 80.94/10.70 # Result found by G-E--_208_B00_00_F1_SE_CS_SP_PS_S070I
% 80.94/10.70 # Preprocessing class: FSMSSMSSSSSNFFN.
% 80.94/10.70 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 80.94/10.70 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 80.94/10.70 # No SInE strategy applied
% 80.94/10.70 # Search class: FGUSM-FFMF32-SFFFFFNN
% 80.94/10.70 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 80.94/10.70 # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S070I with 450s (1) cores
% 80.94/10.70 # Preprocessing time : 0.001 s
% 80.94/10.70 # Presaturation interreduction done
% 80.94/10.70
% 80.94/10.70 # Proof found!
% 80.94/10.70 # SZS status Theorem
% 80.94/10.70 # SZS output start CNFRefutation
% See solution above
% 80.94/10.70 # Parsed axioms : 19
% 80.94/10.70 # Removed by relevancy pruning/SinE : 0
% 80.94/10.70 # Initial clauses : 37
% 80.94/10.70 # Removed in clause preprocessing : 0
% 80.94/10.70 # Initial clauses in saturation : 37
% 80.94/10.70 # Processed clauses : 27261
% 80.94/10.70 # ...of these trivial : 2599
% 80.94/10.70 # ...subsumed : 22241
% 80.94/10.70 # ...remaining for further processing : 2421
% 80.94/10.70 # Other redundant clauses eliminated : 2435
% 80.94/10.70 # Clauses deleted for lack of memory : 0
% 80.94/10.70 # Backward-subsumed : 836
% 80.94/10.70 # Backward-rewritten : 360
% 80.94/10.70 # Generated clauses : 291367
% 80.94/10.70 # ...of the previous two non-redundant : 203802
% 80.94/10.70 # ...aggressively subsumed : 0
% 80.94/10.70 # Contextual simplify-reflections : 44
% 80.94/10.70 # Paramodulations : 288890
% 80.94/10.70 # Factorizations : 41
% 80.94/10.70 # NegExts : 0
% 80.94/10.70 # Equation resolutions : 2435
% 80.94/10.70 # Total rewrite steps : 1000433
% 80.94/10.70 # Propositional unsat checks : 0
% 80.94/10.70 # Propositional check models : 0
% 80.94/10.70 # Propositional check unsatisfiable : 0
% 80.94/10.70 # Propositional clauses : 0
% 80.94/10.70 # Propositional clauses after purity: 0
% 80.94/10.70 # Propositional unsat core size : 0
% 80.94/10.70 # Propositional preprocessing time : 0.000
% 80.94/10.70 # Propositional encoding time : 0.000
% 80.94/10.70 # Propositional solver time : 0.000
% 80.94/10.70 # Success case prop preproc time : 0.000
% 80.94/10.70 # Success case prop encoding time : 0.000
% 80.94/10.70 # Success case prop solver time : 0.000
% 80.94/10.70 # Current number of processed clauses : 1186
% 80.94/10.70 # Positive orientable unit clauses : 502
% 80.94/10.70 # Positive unorientable unit clauses: 18
% 80.94/10.70 # Negative unit clauses : 11
% 80.94/10.70 # Non-unit-clauses : 655
% 80.94/10.70 # Current number of unprocessed clauses: 164390
% 80.94/10.70 # ...number of literals in the above : 409948
% 80.94/10.70 # Current number of archived formulas : 0
% 80.94/10.70 # Current number of archived clauses : 1234
% 80.94/10.70 # Clause-clause subsumption calls (NU) : 405807
% 80.94/10.70 # Rec. Clause-clause subsumption calls : 297289
% 80.94/10.70 # Non-unit clause-clause subsumptions : 18578
% 80.94/10.70 # Unit Clause-clause subsumption calls : 9071
% 80.94/10.70 # Rewrite failures with RHS unbound : 0
% 80.94/10.70 # BW rewrite match attempts : 12305
% 80.94/10.70 # BW rewrite match successes : 5268
% 80.94/10.70 # Condensation attempts : 0
% 80.94/10.70 # Condensation successes : 0
% 80.94/10.70 # Termbank termtop insertions : 6978422
% 80.94/10.70
% 80.94/10.70 # -------------------------------------------------
% 80.94/10.70 # User time : 9.829 s
% 80.94/10.70 # System time : 0.180 s
% 80.94/10.70 # Total time : 10.009 s
% 80.94/10.70 # Maximum resident set size: 1788 pages
% 80.94/10.70
% 80.94/10.70 # -------------------------------------------------
% 80.94/10.70 # User time : 48.728 s
% 80.94/10.70 # System time : 1.282 s
% 80.94/10.70 # Total time : 50.010 s
% 80.94/10.70 # Maximum resident set size: 1692 pages
% 80.94/10.70 % E---3.1 exiting
%------------------------------------------------------------------------------