TSTP Solution File: NUM859+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM859+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% 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 : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 09:37:15 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 12
% Syntax : Number of formulae : 124 ( 11 unt; 0 def)
% Number of atoms : 329 ( 33 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 338 ( 133 ~; 176 |; 18 &)
% ( 7 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 227 ( 19 sgn 80 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(max_is_ub_1,conjecture,
! [X1,X2,X3] :
( minsol_model_ub(X1,X2,X3)
<=> minsol_model_max(X1,X2,X3) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',max_is_ub_1) ).
fof(minsol_model_ub,axiom,
! [X1,X2,X4] :
( minsol_model_ub(X1,X2,X4)
<=> ( model_ub(X1,X2,X4)
& ! [X3] :
( model_ub(X1,X2,X3)
=> lesseq(X4,X3) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',minsol_model_ub) ).
fof(minsol_model_max,axiom,
! [X1,X2,X4] :
( minsol_model_max(X1,X2,X4)
<=> ( model_max(X1,X2,X4)
& ! [X3] :
( model_max(X1,X2,X3)
=> lesseq(X4,X3) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',minsol_model_max) ).
fof(model_max_2,axiom,
! [X1,X2,X4] :
( model_max(X1,X2,X4)
<=> lesseq(max(X1,X2),X4) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',model_max_2) ).
fof(lesseq_trans,axiom,
! [X1,X2,X3] :
( ( lesseq(X1,X2)
& lesseq(X2,X3) )
=> lesseq(X1,X3) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',lesseq_trans) ).
fof(max_1,axiom,
! [X1,X2] :
( max(X1,X2) = X1
| ~ lesseq(X2,X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',max_1) ).
fof(model_ub_2,axiom,
! [X1,X2,X4] :
( model_ub(X1,X2,X4)
<=> ? [X3] :
( ub(X1,X2,X3)
& lesseq(X3,X4) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',model_ub_2) ).
fof(ub,axiom,
! [X1,X2,X3] :
( ub(X1,X2,X3)
<=> ( lesseq(X1,X3)
& lesseq(X2,X3) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ub) ).
fof(lesseq_total,axiom,
! [X1,X2] :
( lesseq(X1,X2)
| lesseq(X2,X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',lesseq_total) ).
fof(lesseq_ref,axiom,
! [X1] : lesseq(X1,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',lesseq_ref) ).
fof(max_2,axiom,
! [X1,X2] :
( max(X1,X2) = X2
| ~ lesseq(X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',max_2) ).
fof(lesseq_antisymmetric,axiom,
! [X1,X2] :
( ( lesseq(X1,X2)
& lesseq(X2,X1) )
=> X1 = X2 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',lesseq_antisymmetric) ).
fof(c_0_12,negated_conjecture,
~ ! [X1,X2,X3] :
( minsol_model_ub(X1,X2,X3)
<=> minsol_model_max(X1,X2,X3) ),
inference(assume_negation,[status(cth)],[max_is_ub_1]) ).
fof(c_0_13,plain,
! [X5,X6,X7,X8,X5,X6,X7] :
( ( model_ub(X5,X6,X7)
| ~ minsol_model_ub(X5,X6,X7) )
& ( ~ model_ub(X5,X6,X8)
| lesseq(X7,X8)
| ~ minsol_model_ub(X5,X6,X7) )
& ( model_ub(X5,X6,esk5_3(X5,X6,X7))
| ~ model_ub(X5,X6,X7)
| minsol_model_ub(X5,X6,X7) )
& ( ~ lesseq(X7,esk5_3(X5,X6,X7))
| ~ model_ub(X5,X6,X7)
| minsol_model_ub(X5,X6,X7) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[minsol_model_ub])])])])])])]) ).
fof(c_0_14,negated_conjecture,
( ( ~ minsol_model_ub(esk1_0,esk2_0,esk3_0)
| ~ minsol_model_max(esk1_0,esk2_0,esk3_0) )
& ( minsol_model_ub(esk1_0,esk2_0,esk3_0)
| minsol_model_max(esk1_0,esk2_0,esk3_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_15,plain,
! [X5,X6,X7,X8,X5,X6,X7] :
( ( model_max(X5,X6,X7)
| ~ minsol_model_max(X5,X6,X7) )
& ( ~ model_max(X5,X6,X8)
| lesseq(X7,X8)
| ~ minsol_model_max(X5,X6,X7) )
& ( model_max(X5,X6,esk4_3(X5,X6,X7))
| ~ model_max(X5,X6,X7)
| minsol_model_max(X5,X6,X7) )
& ( ~ lesseq(X7,esk4_3(X5,X6,X7))
| ~ model_max(X5,X6,X7)
| minsol_model_max(X5,X6,X7) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[minsol_model_max])])])])])])]) ).
cnf(c_0_16,plain,
( model_ub(X1,X2,X3)
| ~ minsol_model_ub(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,negated_conjecture,
( minsol_model_max(esk1_0,esk2_0,esk3_0)
| minsol_model_ub(esk1_0,esk2_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_18,plain,
! [X5,X6,X7,X5,X6,X7] :
( ( ~ model_max(X5,X6,X7)
| lesseq(max(X5,X6),X7) )
& ( ~ lesseq(max(X5,X6),X7)
| model_max(X5,X6,X7) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[model_max_2])])])]) ).
cnf(c_0_19,plain,
( model_max(X1,X2,X3)
| ~ minsol_model_max(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( minsol_model_max(esk1_0,esk2_0,esk3_0)
| model_ub(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
fof(c_0_21,plain,
! [X4,X5,X6] :
( ~ lesseq(X4,X5)
| ~ lesseq(X5,X6)
| lesseq(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lesseq_trans])]) ).
cnf(c_0_22,plain,
( lesseq(max(X1,X2),X3)
| ~ model_max(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,negated_conjecture,
( model_ub(esk1_0,esk2_0,esk3_0)
| model_max(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,plain,
( lesseq(X1,X2)
| ~ lesseq(X3,X2)
| ~ lesseq(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,negated_conjecture,
( model_ub(esk1_0,esk2_0,esk3_0)
| lesseq(max(esk1_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
fof(c_0_26,plain,
! [X3,X4] :
( max(X3,X4) = X3
| ~ lesseq(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[max_1])]) ).
fof(c_0_27,plain,
! [X5,X6,X7,X5,X6,X7,X9] :
( ( ub(X5,X6,esk6_3(X5,X6,X7))
| ~ model_ub(X5,X6,X7) )
& ( lesseq(esk6_3(X5,X6,X7),X7)
| ~ model_ub(X5,X6,X7) )
& ( ~ ub(X5,X6,X9)
| ~ lesseq(X9,X7)
| model_ub(X5,X6,X7) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[model_ub_2])])])])])])]) ).
fof(c_0_28,plain,
! [X4,X5,X6,X4,X5,X6] :
( ( lesseq(X4,X6)
| ~ ub(X4,X5,X6) )
& ( lesseq(X5,X6)
| ~ ub(X4,X5,X6) )
& ( ~ lesseq(X4,X6)
| ~ lesseq(X5,X6)
| ub(X4,X5,X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ub])])])])]) ).
cnf(c_0_29,negated_conjecture,
( model_ub(esk1_0,esk2_0,esk3_0)
| lesseq(X1,esk3_0)
| ~ lesseq(X1,max(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,plain,
( max(X2,X1) = X2
| ~ lesseq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_31,plain,
! [X3,X4] :
( lesseq(X3,X4)
| lesseq(X4,X3) ),
inference(variable_rename,[status(thm)],[lesseq_total]) ).
cnf(c_0_32,plain,
( lesseq(esk6_3(X1,X2,X3),X3)
| ~ model_ub(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
( lesseq(X1,X3)
| ~ ub(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,plain,
( ub(X1,X2,esk6_3(X1,X2,X3))
| ~ model_ub(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,negated_conjecture,
( model_ub(esk1_0,esk2_0,esk3_0)
| lesseq(X1,esk3_0)
| ~ lesseq(esk2_0,esk1_0)
| ~ lesseq(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_36,plain,
( lesseq(X1,X2)
| lesseq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_37,plain,
! [X2] : lesseq(X2,X2),
inference(variable_rename,[status(thm)],[lesseq_ref]) ).
cnf(c_0_38,plain,
( lesseq(X3,X4)
| ~ minsol_model_max(X1,X2,X3)
| ~ model_max(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_39,plain,
( model_max(X1,X2,X3)
| ~ lesseq(max(X1,X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_40,plain,
! [X3,X4] :
( max(X3,X4) = X4
| ~ lesseq(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[max_2])]) ).
cnf(c_0_41,plain,
( lesseq(X1,X2)
| ~ model_ub(X3,X4,X2)
| ~ lesseq(X1,esk6_3(X3,X4,X2)) ),
inference(spm,[status(thm)],[c_0_24,c_0_32]) ).
cnf(c_0_42,plain,
( lesseq(X1,esk6_3(X1,X2,X3))
| ~ model_ub(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_43,negated_conjecture,
( model_ub(esk1_0,esk2_0,esk3_0)
| lesseq(esk1_0,esk2_0)
| lesseq(X1,esk3_0)
| ~ lesseq(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_44,plain,
lesseq(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_45,negated_conjecture,
( model_ub(esk1_0,esk2_0,esk3_0)
| lesseq(esk3_0,X1)
| ~ model_max(esk1_0,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_20]) ).
cnf(c_0_46,plain,
( model_max(X1,X2,X3)
| ~ lesseq(X1,X3)
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_30]) ).
cnf(c_0_47,plain,
( lesseq(X2,X3)
| ~ ub(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_48,plain,
( max(X1,X2) = X2
| ~ lesseq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_49,plain,
( lesseq(X1,X2)
| ~ model_ub(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_50,negated_conjecture,
( model_ub(esk1_0,esk2_0,esk3_0)
| lesseq(esk1_0,esk3_0)
| lesseq(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_51,negated_conjecture,
( model_ub(esk1_0,esk2_0,esk3_0)
| lesseq(esk3_0,X1)
| ~ lesseq(esk2_0,esk1_0)
| ~ lesseq(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,plain,
( lesseq(X1,esk6_3(X2,X1,X3))
| ~ model_ub(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_47,c_0_34]) ).
cnf(c_0_53,negated_conjecture,
( model_ub(esk1_0,esk2_0,esk3_0)
| lesseq(esk2_0,esk3_0)
| ~ lesseq(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_48]) ).
cnf(c_0_54,negated_conjecture,
( lesseq(esk1_0,esk2_0)
| lesseq(esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_55,plain,
( model_ub(X1,X2,X3)
| ~ lesseq(X4,X3)
| ~ ub(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_56,negated_conjecture,
( model_ub(esk1_0,esk2_0,esk3_0)
| lesseq(esk1_0,esk2_0)
| lesseq(esk3_0,X1)
| ~ lesseq(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_36]) ).
cnf(c_0_57,plain,
( lesseq(X1,X2)
| ~ model_ub(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_52]) ).
cnf(c_0_58,negated_conjecture,
( model_ub(esk1_0,esk2_0,esk3_0)
| lesseq(esk1_0,esk3_0)
| ~ lesseq(esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_30]) ).
cnf(c_0_59,plain,
( lesseq(X1,X2)
| lesseq(X3,X1)
| ~ lesseq(X3,X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_36]) ).
cnf(c_0_60,negated_conjecture,
( lesseq(esk2_0,esk3_0)
| lesseq(esk1_0,esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_53]),c_0_54]) ).
cnf(c_0_61,plain,
( lesseq(X3,X4)
| ~ minsol_model_ub(X1,X2,X3)
| ~ model_ub(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_62,plain,
( model_ub(X1,X2,X3)
| ~ model_ub(X1,X2,X4)
| ~ lesseq(esk6_3(X1,X2,X4),X3) ),
inference(spm,[status(thm)],[c_0_55,c_0_34]) ).
fof(c_0_63,plain,
! [X3,X4] :
( ~ lesseq(X3,X4)
| ~ lesseq(X4,X3)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lesseq_antisymmetric])]) ).
cnf(c_0_64,negated_conjecture,
( model_ub(esk1_0,esk2_0,esk3_0)
| lesseq(esk3_0,esk1_0)
| lesseq(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_56,c_0_44]) ).
cnf(c_0_65,negated_conjecture,
( lesseq(esk2_0,esk3_0)
| ~ lesseq(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_57,c_0_53]) ).
cnf(c_0_66,negated_conjecture,
( lesseq(esk1_0,esk3_0)
| ~ lesseq(esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_58]) ).
cnf(c_0_67,negated_conjecture,
( lesseq(esk1_0,esk3_0)
| lesseq(esk2_0,X1)
| lesseq(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_68,negated_conjecture,
( minsol_model_max(esk1_0,esk2_0,esk3_0)
| lesseq(esk3_0,X1)
| ~ model_ub(esk1_0,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_17]) ).
cnf(c_0_69,plain,
( model_ub(X1,X2,esk6_3(X1,X2,X3))
| ~ model_ub(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_62,c_0_44]) ).
cnf(c_0_70,plain,
( X1 = X2
| ~ lesseq(X2,X1)
| ~ lesseq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_71,negated_conjecture,
( lesseq(esk3_0,esk1_0)
| lesseq(esk2_0,esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_64]),c_0_65]) ).
cnf(c_0_72,negated_conjecture,
lesseq(esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_73,negated_conjecture,
( minsol_model_max(esk1_0,esk2_0,esk3_0)
| lesseq(esk3_0,esk6_3(esk1_0,esk2_0,X1))
| ~ model_ub(esk1_0,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_74,plain,
( esk6_3(X1,X2,X3) = X3
| ~ model_ub(X1,X2,X3)
| ~ lesseq(X3,esk6_3(X1,X2,X3)) ),
inference(spm,[status(thm)],[c_0_70,c_0_32]) ).
cnf(c_0_75,negated_conjecture,
( esk3_0 = esk1_0
| lesseq(esk2_0,esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_60]) ).
cnf(c_0_76,negated_conjecture,
( lesseq(esk2_0,esk3_0)
| lesseq(X1,esk1_0)
| ~ lesseq(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_71]) ).
cnf(c_0_77,negated_conjecture,
( lesseq(X1,esk3_0)
| ~ lesseq(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_72]) ).
cnf(c_0_78,negated_conjecture,
( esk6_3(esk1_0,esk2_0,X1) = esk3_0
| minsol_model_max(esk1_0,esk2_0,esk3_0)
| ~ model_ub(esk1_0,esk2_0,X1)
| ~ lesseq(esk6_3(esk1_0,esk2_0,X1),esk3_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_73]) ).
cnf(c_0_79,plain,
( esk6_3(X1,X2,X1) = X1
| ~ model_ub(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_42]) ).
cnf(c_0_80,negated_conjecture,
( esk3_0 = esk1_0
| lesseq(esk2_0,X1)
| lesseq(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_75]) ).
cnf(c_0_81,plain,
( esk6_3(X1,X2,X2) = X2
| ~ model_ub(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_74,c_0_52]) ).
cnf(c_0_82,negated_conjecture,
lesseq(esk2_0,esk3_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_65]),c_0_36]),c_0_77]) ).
cnf(c_0_83,negated_conjecture,
( esk3_0 = esk1_0
| minsol_model_max(esk1_0,esk2_0,esk3_0)
| ~ model_ub(esk1_0,esk2_0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_72])]) ).
cnf(c_0_84,plain,
model_max(X1,X2,max(X1,X2)),
inference(spm,[status(thm)],[c_0_39,c_0_44]) ).
cnf(c_0_85,negated_conjecture,
( esk3_0 = esk1_0
| lesseq(esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_66,c_0_80]) ).
cnf(c_0_86,plain,
( ub(X1,X2,X3)
| ~ lesseq(X2,X3)
| ~ lesseq(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_87,negated_conjecture,
( esk3_0 = esk2_0
| minsol_model_max(esk1_0,esk2_0,esk3_0)
| ~ model_ub(esk1_0,esk2_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_81]),c_0_82])]) ).
cnf(c_0_88,negated_conjecture,
( esk3_0 = esk1_0
| lesseq(esk3_0,X1)
| ~ model_ub(esk1_0,esk2_0,esk1_0)
| ~ model_max(esk1_0,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_83]) ).
cnf(c_0_89,plain,
( model_max(X1,X2,X1)
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_30]) ).
cnf(c_0_90,negated_conjecture,
( esk3_0 = esk1_0
| ~ lesseq(esk3_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_85]) ).
cnf(c_0_91,plain,
( model_ub(X1,X2,X3)
| ~ lesseq(X4,X3)
| ~ lesseq(X2,X4)
| ~ lesseq(X1,X4) ),
inference(spm,[status(thm)],[c_0_55,c_0_86]) ).
cnf(c_0_92,negated_conjecture,
( esk3_0 = esk2_0
| lesseq(esk3_0,X1)
| ~ model_ub(esk1_0,esk2_0,esk2_0)
| ~ model_max(esk1_0,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_87]) ).
cnf(c_0_93,plain,
( model_max(X1,X2,X2)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_84,c_0_48]) ).
cnf(c_0_94,negated_conjecture,
( esk3_0 = esk2_0
| ~ lesseq(esk3_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_82]) ).
cnf(c_0_95,negated_conjecture,
( esk3_0 = esk1_0
| ~ model_ub(esk1_0,esk2_0,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_57]),c_0_90]) ).
cnf(c_0_96,plain,
( model_ub(X1,X2,X3)
| ~ lesseq(X2,X3)
| ~ lesseq(X1,X3) ),
inference(spm,[status(thm)],[c_0_91,c_0_44]) ).
cnf(c_0_97,negated_conjecture,
( esk3_0 = esk2_0
| ~ model_ub(esk1_0,esk2_0,esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_49]),c_0_94]) ).
cnf(c_0_98,negated_conjecture,
( esk3_0 = esk1_0
| ~ lesseq(esk2_0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_44])]) ).
cnf(c_0_99,negated_conjecture,
( esk3_0 = esk2_0
| ~ lesseq(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_96]),c_0_44])]) ).
cnf(c_0_100,negated_conjecture,
( esk3_0 = esk1_0
| lesseq(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_98,c_0_36]) ).
cnf(c_0_101,plain,
( minsol_model_ub(X1,X2,X3)
| model_ub(X1,X2,esk5_3(X1,X2,X3))
| ~ model_ub(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_102,plain,
( minsol_model_max(X1,X2,X3)
| model_max(X1,X2,esk4_3(X1,X2,X3))
| ~ model_max(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_103,negated_conjecture,
( ~ minsol_model_max(esk1_0,esk2_0,esk3_0)
| ~ minsol_model_ub(esk1_0,esk2_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_104,negated_conjecture,
( esk3_0 = esk1_0
| esk3_0 = esk2_0 ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_105,plain,
( minsol_model_ub(X1,X2,X3)
| ~ model_ub(X1,X2,X3)
| ~ lesseq(X3,esk5_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_106,plain,
( minsol_model_ub(X1,X2,X3)
| lesseq(X2,esk5_3(X1,X2,X3))
| ~ model_ub(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_57,c_0_101]) ).
cnf(c_0_107,plain,
( minsol_model_max(X1,X2,X3)
| ~ model_max(X1,X2,X3)
| ~ lesseq(X3,esk4_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_108,plain,
( minsol_model_max(X1,X2,X3)
| lesseq(max(X1,X2),esk4_3(X1,X2,X3))
| ~ model_max(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_22,c_0_102]) ).
cnf(c_0_109,negated_conjecture,
( esk3_0 = esk1_0
| ~ minsol_model_ub(esk1_0,esk2_0,esk2_0)
| ~ minsol_model_max(esk1_0,esk2_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_110,plain,
( minsol_model_ub(X1,X2,X2)
| ~ model_ub(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_111,plain,
minsol_model_max(X1,X2,max(X1,X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_84])]) ).
cnf(c_0_112,negated_conjecture,
( esk3_0 = esk1_0
| ~ minsol_model_max(esk1_0,esk2_0,esk2_0)
| ~ model_ub(esk1_0,esk2_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_113,plain,
( minsol_model_max(X1,X2,X2)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_111,c_0_48]) ).
cnf(c_0_114,negated_conjecture,
( esk3_0 = esk1_0
| ~ model_ub(esk1_0,esk2_0,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_100]) ).
cnf(c_0_115,negated_conjecture,
esk3_0 = esk1_0,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_96]),c_0_44])]),c_0_100]) ).
cnf(c_0_116,plain,
( minsol_model_ub(X1,X2,X3)
| lesseq(X1,esk5_3(X1,X2,X3))
| ~ model_ub(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_49,c_0_101]) ).
cnf(c_0_117,negated_conjecture,
( ~ minsol_model_ub(esk1_0,esk2_0,esk1_0)
| ~ minsol_model_max(esk1_0,esk2_0,esk1_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_115]),c_0_115]) ).
cnf(c_0_118,plain,
( minsol_model_ub(X1,X2,X1)
| ~ model_ub(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_105,c_0_116]) ).
cnf(c_0_119,negated_conjecture,
( ~ minsol_model_max(esk1_0,esk2_0,esk1_0)
| ~ model_ub(esk1_0,esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_120,plain,
( minsol_model_max(X1,X2,X1)
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_111,c_0_30]) ).
cnf(c_0_121,negated_conjecture,
lesseq(esk2_0,esk1_0),
inference(rw,[status(thm)],[c_0_82,c_0_115]) ).
cnf(c_0_122,negated_conjecture,
~ model_ub(esk1_0,esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121])]) ).
cnf(c_0_123,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_96]),c_0_121]),c_0_44])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM859+1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 5 13:28:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41 # Preprocessing time : 0.015 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 124
% 0.23/1.41 # Proof object clause steps : 99
% 0.23/1.41 # Proof object formula steps : 25
% 0.23/1.41 # Proof object conjectures : 55
% 0.23/1.41 # Proof object clause conjectures : 52
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 24
% 0.23/1.41 # Proof object initial formulas used : 12
% 0.23/1.41 # Proof object generating inferences : 73
% 0.23/1.41 # Proof object simplifying inferences : 31
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 14
% 0.23/1.41 # Removed by relevancy pruning/SinE : 2
% 0.23/1.41 # Initial clauses : 24
% 0.23/1.41 # Removed in clause preprocessing : 0
% 0.23/1.41 # Initial clauses in saturation : 24
% 0.23/1.41 # Processed clauses : 831
% 0.23/1.41 # ...of these trivial : 0
% 0.23/1.41 # ...subsumed : 477
% 0.23/1.41 # ...remaining for further processing : 354
% 0.23/1.41 # Other redundant clauses eliminated : 0
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 77
% 0.23/1.41 # Backward-rewritten : 127
% 0.23/1.41 # Generated clauses : 6793
% 0.23/1.41 # ...of the previous two non-trivial : 6390
% 0.23/1.41 # Contextual simplify-reflections : 414
% 0.23/1.41 # Paramodulations : 6722
% 0.23/1.41 # Factorizations : 69
% 0.23/1.41 # Equation resolutions : 0
% 0.23/1.41 # Current number of processed clauses : 148
% 0.23/1.41 # Positive orientable unit clauses : 5
% 0.23/1.41 # Positive unorientable unit clauses: 0
% 0.23/1.41 # Negative unit clauses : 4
% 0.23/1.41 # Non-unit-clauses : 139
% 0.23/1.41 # Current number of unprocessed clauses: 1952
% 0.23/1.41 # ...number of literals in the above : 9406
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 206
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 24752
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 17032
% 0.23/1.41 # Non-unit clause-clause subsumptions : 952
% 0.23/1.41 # Unit Clause-clause subsumption calls : 112
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 11
% 0.23/1.41 # BW rewrite match successes : 4
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 87491
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.168 s
% 0.23/1.41 # System time : 0.006 s
% 0.23/1.41 # Total time : 0.174 s
% 0.23/1.41 # Maximum resident set size: 6732 pages
% 0.23/23.40 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: CPU time limit exceeded, terminating
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------