%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM858+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n007.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 09:37:14 EDT 2022
% Result : Theorem 0.24s 1.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of formulae : 113 ( 10 unt; 0 def)
% Number of atoms : 305 ( 26 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 319 ( 127 ~; 165 |; 16 &)
% ( 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 : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 202 ( 19 sgn 79 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(model_max_1,axiom,
! [X1,X2,X4] :
( model_max(X1,X2,X4)
<=> X4 = max(X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',model_max_1) ).
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(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(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(model_ub_1,axiom,
! [X1,X2,X4] :
( model_ub(X1,X2,X4)
<=> ub(X1,X2,X4) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',model_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(lesseq_ref,axiom,
! [X1] : lesseq(X1,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',lesseq_ref) ).
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(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(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(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(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,plain,
! [X5,X6,X7,X5,X6,X7] :
( ( ~ model_max(X5,X6,X7)
| X7 = max(X5,X6) )
& ( X7 != max(X5,X6)
| 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_1])])])]) ).
fof(c_0_13,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])])])])])])]) ).
fof(c_0_14,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_15,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])])])])]) ).
fof(c_0_16,plain,
! [X5,X6,X7,X5,X6,X7] :
( ( ~ model_ub(X5,X6,X7)
| ub(X5,X6,X7) )
& ( ~ ub(X5,X6,X7)
| model_ub(X5,X6,X7) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[model_ub_1])])])]) ).
cnf(c_0_17,plain,
( X1 = max(X2,X3)
| ~ model_max(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,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_13]) ).
fof(c_0_19,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_20,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_14])])]) ).
cnf(c_0_21,plain,
( lesseq(X2,X3)
| ~ ub(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
( ub(X1,X2,X3)
| ~ model_ub(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,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_13]) ).
cnf(c_0_24,plain,
( esk4_3(X1,X2,X3) = max(X1,X2)
| minsol_model_max(X1,X2,X3)
| ~ model_max(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
fof(c_0_25,plain,
! [X2] : lesseq(X2,X2),
inference(variable_rename,[status(thm)],[lesseq_ref]) ).
cnf(c_0_26,plain,
( model_max(X1,X2,X3)
| X3 != max(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_27,plain,
( model_ub(X1,X2,X3)
| ~ minsol_model_ub(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28,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_20]) ).
fof(c_0_29,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_30,plain,
( lesseq(X1,X2)
| ~ model_ub(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_31,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_19]) ).
cnf(c_0_32,plain,
( lesseq(X3,X4)
| ~ minsol_model_ub(X1,X2,X3)
| ~ model_ub(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_33,plain,
( model_ub(X1,X2,X3)
| ~ ub(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_34,plain,
( ub(X1,X2,X3)
| ~ lesseq(X2,X3)
| ~ lesseq(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_35,plain,
( minsol_model_max(X1,X2,X3)
| ~ model_max(X1,X2,X3)
| ~ lesseq(X3,max(X1,X2)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_36,plain,
lesseq(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_37,plain,
model_max(X1,X2,max(X1,X2)),
inference(er,[status(thm)],[c_0_26]) ).
cnf(c_0_38,plain,
( lesseq(X1,X3)
| ~ ub(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_39,plain,
( model_max(X1,X2,X3)
| ~ minsol_model_max(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_40,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_27,c_0_28]) ).
cnf(c_0_41,plain,
( lesseq(X1,X2)
| ~ lesseq(X3,X2)
| ~ lesseq(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_42,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_30,c_0_31]) ).
cnf(c_0_43,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_32,c_0_28]) ).
cnf(c_0_44,plain,
( model_ub(X1,X2,X3)
| ~ lesseq(X2,X3)
| ~ lesseq(X1,X3) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_45,plain,
( lesseq(X3,X4)
| ~ minsol_model_max(X1,X2,X3)
| ~ model_max(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_46,plain,
minsol_model_max(X1,X2,max(X1,X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).
cnf(c_0_47,plain,
( lesseq(X1,X2)
| ~ model_ub(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_38,c_0_22]) ).
cnf(c_0_48,negated_conjecture,
( model_ub(esk1_0,esk2_0,esk3_0)
| model_max(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_49,plain,
! [X3,X4] :
( lesseq(X3,X4)
| lesseq(X4,X3) ),
inference(variable_rename,[status(thm)],[lesseq_total]) ).
cnf(c_0_50,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_19]) ).
cnf(c_0_51,plain,
( minsol_model_ub(X1,X2,X3)
| lesseq(X4,esk5_3(X1,X2,X3))
| ~ model_ub(X1,X2,X3)
| ~ lesseq(X4,X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
fof(c_0_52,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_53,negated_conjecture,
( minsol_model_max(esk1_0,esk2_0,esk3_0)
| lesseq(esk3_0,X1)
| ~ lesseq(esk2_0,X1)
| ~ lesseq(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_54,plain,
( lesseq(max(X1,X2),X3)
| ~ model_max(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_55,negated_conjecture,
( model_max(esk1_0,esk2_0,esk3_0)
| lesseq(esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_56,plain,
! [X3,X4] :
( max(X3,X4) = X3
| ~ lesseq(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[max_1])]) ).
cnf(c_0_57,plain,
( lesseq(X1,X2)
| lesseq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_58,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_20]) ).
cnf(c_0_59,plain,
( minsol_model_ub(X1,X2,X3)
| ~ model_ub(X1,X2,X3)
| ~ lesseq(X3,X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_60,plain,
( max(X1,X2) = X2
| ~ lesseq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_61,negated_conjecture,
( model_max(esk1_0,esk2_0,esk3_0)
| lesseq(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_48]) ).
cnf(c_0_62,negated_conjecture,
( minsol_model_max(esk1_0,esk2_0,esk3_0)
| lesseq(esk3_0,esk2_0)
| ~ lesseq(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_36]) ).
cnf(c_0_63,negated_conjecture,
( lesseq(max(esk1_0,esk2_0),esk3_0)
| lesseq(esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_64,plain,
( max(X2,X1) = X2
| ~ lesseq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_65,negated_conjecture,
( minsol_model_max(esk1_0,esk2_0,esk3_0)
| lesseq(X1,esk2_0)
| lesseq(esk3_0,X1)
| ~ lesseq(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_57]) ).
cnf(c_0_66,negated_conjecture,
( ~ minsol_model_max(esk1_0,esk2_0,esk3_0)
| ~ model_ub(esk1_0,esk2_0,esk3_0)
| ~ lesseq(esk3_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_67,plain,
( minsol_model_max(X1,X2,X3)
| ~ model_max(X1,X2,X3)
| ~ lesseq(X3,X2)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_60]) ).
cnf(c_0_68,negated_conjecture,
( lesseq(max(esk1_0,esk2_0),esk3_0)
| lesseq(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_54,c_0_61]) ).
cnf(c_0_69,negated_conjecture,
( model_max(esk1_0,esk2_0,esk3_0)
| lesseq(esk3_0,esk2_0)
| ~ lesseq(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_62]) ).
cnf(c_0_70,negated_conjecture,
( lesseq(esk1_0,esk3_0)
| ~ lesseq(esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_71,negated_conjecture,
( minsol_model_max(esk1_0,esk2_0,esk3_0)
| lesseq(esk3_0,esk1_0)
| lesseq(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_36]) ).
cnf(c_0_72,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_45,c_0_40]) ).
cnf(c_0_73,negated_conjecture,
( ~ model_ub(esk1_0,esk2_0,esk3_0)
| ~ model_max(esk1_0,esk2_0,esk3_0)
| ~ lesseq(esk3_0,esk2_0)
| ~ lesseq(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_74,negated_conjecture,
( lesseq(esk2_0,esk3_0)
| ~ lesseq(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_68,c_0_60]) ).
cnf(c_0_75,negated_conjecture,
( lesseq(max(esk1_0,esk2_0),esk3_0)
| lesseq(esk3_0,esk2_0)
| ~ lesseq(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_54,c_0_69]) ).
cnf(c_0_76,plain,
( lesseq(X1,X2)
| lesseq(X3,X1)
| ~ lesseq(X3,X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_57]) ).
cnf(c_0_77,negated_conjecture,
( lesseq(esk1_0,esk2_0)
| lesseq(esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_57]) ).
fof(c_0_78,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_79,negated_conjecture,
( max(esk1_0,esk2_0) = esk3_0
| lesseq(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_61]) ).
cnf(c_0_80,plain,
( model_max(X1,X2,X1)
| ~ lesseq(X2,X1) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_64])]) ).
cnf(c_0_81,negated_conjecture,
( model_max(esk1_0,esk2_0,esk3_0)
| lesseq(esk1_0,esk2_0)
| lesseq(esk3_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_71]) ).
cnf(c_0_82,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_47,c_0_31]) ).
cnf(c_0_83,negated_conjecture,
( model_ub(esk1_0,esk2_0,esk3_0)
| lesseq(esk3_0,max(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_72,c_0_37]) ).
cnf(c_0_84,negated_conjecture,
( ~ model_max(esk1_0,esk2_0,esk3_0)
| ~ lesseq(esk3_0,esk2_0)
| ~ lesseq(esk1_0,esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_44]),c_0_41]),c_0_74]) ).
cnf(c_0_85,negated_conjecture,
( lesseq(esk3_0,esk2_0)
| lesseq(esk1_0,esk3_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_64]),c_0_76]),c_0_77]) ).
cnf(c_0_86,plain,
( X1 = X2
| ~ lesseq(X2,X1)
| ~ lesseq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_87,negated_conjecture,
( esk3_0 = esk2_0
| lesseq(esk2_0,esk3_0)
| ~ lesseq(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_60,c_0_79]) ).
cnf(c_0_88,plain,
( lesseq(max(X1,X2),X1)
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_80]) ).
cnf(c_0_89,negated_conjecture,
( max(esk1_0,esk2_0) = esk3_0
| lesseq(esk3_0,esk1_0)
| lesseq(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_81]) ).
cnf(c_0_90,plain,
( minsol_model_ub(X1,X2,X3)
| lesseq(X4,esk5_3(X1,X2,X3))
| ~ model_ub(X1,X2,X3)
| ~ lesseq(X4,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_82]) ).
cnf(c_0_91,negated_conjecture,
( model_ub(esk1_0,esk2_0,esk3_0)
| lesseq(X1,max(esk1_0,esk2_0))
| ~ lesseq(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_41,c_0_83]) ).
cnf(c_0_92,negated_conjecture,
lesseq(esk1_0,esk3_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_55]),c_0_77]),c_0_85]) ).
cnf(c_0_93,negated_conjecture,
( max(esk1_0,esk2_0) = esk3_0
| lesseq(esk3_0,esk2_0)
| ~ lesseq(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_69]) ).
cnf(c_0_94,negated_conjecture,
( esk3_0 = esk2_0
| ~ lesseq(esk3_0,esk2_0)
| ~ lesseq(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_95,negated_conjecture,
( lesseq(esk1_0,esk2_0)
| lesseq(esk3_0,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_57]) ).
cnf(c_0_96,plain,
( minsol_model_ub(X1,X2,X3)
| ~ model_ub(X1,X2,X3)
| ~ lesseq(X3,X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_90]) ).
cnf(c_0_97,negated_conjecture,
( model_ub(esk1_0,esk2_0,esk3_0)
| lesseq(X1,esk2_0)
| ~ lesseq(esk1_0,esk2_0)
| ~ lesseq(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_91,c_0_60]) ).
cnf(c_0_98,negated_conjecture,
( lesseq(esk1_0,X1)
| lesseq(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_76,c_0_92]) ).
cnf(c_0_99,negated_conjecture,
( esk3_0 = esk2_0
| ~ lesseq(esk1_0,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_93]),c_0_94]) ).
cnf(c_0_100,negated_conjecture,
( esk3_0 = esk1_0
| lesseq(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_95]),c_0_92])]) ).
cnf(c_0_101,negated_conjecture,
( ~ minsol_model_max(esk1_0,esk2_0,esk3_0)
| ~ model_ub(esk1_0,esk2_0,esk3_0)
| ~ lesseq(esk3_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_96]) ).
cnf(c_0_102,plain,
( minsol_model_max(X1,X2,X3)
| ~ model_max(X1,X2,X3)
| ~ lesseq(X3,X1)
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_64]) ).
cnf(c_0_103,negated_conjecture,
( lesseq(max(esk1_0,esk2_0),esk2_0)
| lesseq(esk2_0,esk3_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_68]),c_0_98]),c_0_30]) ).
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,negated_conjecture,
( ~ model_ub(esk1_0,esk2_0,esk3_0)
| ~ model_max(esk1_0,esk2_0,esk3_0)
| ~ lesseq(esk3_0,esk1_0)
| ~ lesseq(esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_106,negated_conjecture,
lesseq(esk2_0,esk3_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_64]),c_0_57]),c_0_74]) ).
cnf(c_0_107,negated_conjecture,
( esk3_0 = esk1_0
| ~ model_max(esk1_0,esk2_0,esk2_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_104]),c_0_36])]),c_0_100]) ).
cnf(c_0_108,plain,
( model_max(X1,X2,X2)
| ~ lesseq(X1,X2) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_60])]) ).
cnf(c_0_109,negated_conjecture,
( ~ model_max(esk1_0,esk2_0,esk3_0)
| ~ lesseq(esk3_0,esk1_0)
| ~ lesseq(esk2_0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_44]),c_0_92])]),c_0_106])]) ).
cnf(c_0_110,negated_conjecture,
esk3_0 = esk1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_100]) ).
cnf(c_0_111,negated_conjecture,
~ lesseq(esk2_0,esk1_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_110]),c_0_110]),c_0_36])]),c_0_80]) ).
cnf(c_0_112,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_110]),c_0_111]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM858+1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jul 6 14:05:43 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.24/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.42 # Preprocessing time : 0.013 s
% 0.24/1.42
% 0.24/1.42 # Proof found!
% 0.24/1.42 # SZS status Theorem
% 0.24/1.42 # SZS output start CNFRefutation
% See solution above
% 0.24/1.42 # Proof object total steps : 113
% 0.24/1.42 # Proof object clause steps : 88
% 0.24/1.42 # Proof object formula steps : 25
% 0.24/1.42 # Proof object conjectures : 50
% 0.24/1.42 # Proof object clause conjectures : 47
% 0.24/1.42 # Proof object formula conjectures : 3
% 0.24/1.42 # Proof object initial clauses used : 23
% 0.24/1.42 # Proof object initial formulas used : 12
% 0.24/1.42 # Proof object generating inferences : 63
% 0.24/1.42 # Proof object simplifying inferences : 33
% 0.24/1.42 # Training examples: 0 positive, 0 negative
% 0.24/1.42 # Parsed axioms : 14
% 0.24/1.42 # Removed by relevancy pruning/SinE : 2
% 0.24/1.42 # Initial clauses : 23
% 0.24/1.42 # Removed in clause preprocessing : 0
% 0.24/1.42 # Initial clauses in saturation : 23
% 0.24/1.42 # Processed clauses : 590
% 0.24/1.42 # ...of these trivial : 0
% 0.24/1.42 # ...subsumed : 340
% 0.24/1.42 # ...remaining for further processing : 249
% 0.24/1.42 # Other redundant clauses eliminated : 2
% 0.24/1.42 # Clauses deleted for lack of memory : 0
% 0.24/1.42 # Backward-subsumed : 76
% 0.24/1.42 # Backward-rewritten : 96
% 0.24/1.42 # Generated clauses : 2708
% 0.24/1.42 # ...of the previous two non-trivial : 2283
% 0.24/1.42 # Contextual simplify-reflections : 342
% 0.24/1.42 # Paramodulations : 2609
% 0.24/1.42 # Factorizations : 91
% 0.24/1.42 # Equation resolutions : 8
% 0.24/1.42 # Current number of processed clauses : 77
% 0.24/1.42 # Positive orientable unit clauses : 4
% 0.24/1.42 # Positive unorientable unit clauses: 0
% 0.24/1.42 # Negative unit clauses : 2
% 0.24/1.42 # Non-unit-clauses : 71
% 0.24/1.42 # Current number of unprocessed clauses: 293
% 0.24/1.42 # ...number of literals in the above : 1505
% 0.24/1.42 # Current number of archived formulas : 0
% 0.24/1.42 # Current number of archived clauses : 172
% 0.24/1.42 # Clause-clause subsumption calls (NU) : 14388
% 0.24/1.42 # Rec. Clause-clause subsumption calls : 8461
% 0.24/1.42 # Non-unit clause-clause subsumptions : 749
% 0.24/1.42 # Unit Clause-clause subsumption calls : 127
% 0.24/1.42 # Rewrite failures with RHS unbound : 0
% 0.24/1.42 # BW rewrite match attempts : 12
% 0.24/1.42 # BW rewrite match successes : 3
% 0.24/1.42 # Condensation attempts : 0
% 0.24/1.42 # Condensation successes : 0
% 0.24/1.42 # Termbank termtop insertions : 36514
% 0.24/1.42
% 0.24/1.42 # -------------------------------------------------
% 0.24/1.42 # User time : 0.084 s
% 0.24/1.42 # System time : 0.005 s
% 0.24/1.42 # Total time : 0.089 s
% 0.24/1.42 # Maximum resident set size: 4092 pages
% 0.24/23.42 eprover: CPU time limit exceeded, terminating
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------