%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : NUM862+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:56:48 PM UTC 2026
% Result : Theorem 86.55s 13.11s
% Output : CNFRefutation 86.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 75
% Number of leaves : 14
% Syntax : Number of formulae : 261 ( 28 unt; 0 def)
% Number of atoms : 677 ( 24 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 668 ( 252 ~; 383 |; 20 &)
% ( 9 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 457 ( 9 sgn 88 !; 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/sandbox2/benchmark/theBenchmark.p',max_is_ub_1) ).
fof(model_ub_5,axiom,
! [X1,X2,X4] :
( model_ub(X1,X2,X4)
<=> ? [X3] :
( lesseq(sum(c,summation(X3)),X4)
& ub(X1,X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',model_ub_5) ).
fof(model_max_5,axiom,
! [X1,X2,X4] :
( model_max(X1,X2,X4)
<=> lesseq(sum(c,summation(max(X1,X2))),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',model_max_5) ).
fof(max_1,axiom,
! [X1,X2] :
( ~ lesseq(X2,X1)
| max(X1,X2) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_1) ).
fof(minsol_model_ub,axiom,
! [X1,X2,X4] :
( minsol_model_ub(X1,X2,X4)
<=> ( ! [X3] :
( model_ub(X1,X2,X3)
=> lesseq(X4,X3) )
& model_ub(X1,X2,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minsol_model_ub) ).
fof(minsol_model_max,axiom,
! [X1,X2,X4] :
( minsol_model_max(X1,X2,X4)
<=> ( ! [X3] :
( model_max(X1,X2,X3)
=> lesseq(X4,X3) )
& model_max(X1,X2,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minsol_model_max) ).
fof(lesseq_total,axiom,
! [X1,X2] :
( lesseq(X2,X1)
| lesseq(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lesseq_total) ).
fof(ub,axiom,
! [X1,X2,X3] :
( ub(X1,X2,X3)
<=> ( lesseq(X2,X3)
& lesseq(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ub) ).
fof(max_2,axiom,
! [X1,X2] :
( ~ lesseq(X1,X2)
| max(X1,X2) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_2) ).
fof(lesseq_ref,axiom,
! [X1] : lesseq(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lesseq_ref) ).
fof(lesseq_antisymmetric,axiom,
! [X1,X2] :
( ( lesseq(X2,X1)
& lesseq(X1,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lesseq_antisymmetric) ).
fof(sum_monotone_1,axiom,
! [X1,X2,X3] :
( lesseq(X1,X2)
<=> lesseq(sum(X3,X1),sum(X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_monotone_1) ).
fof(summation_monotone,axiom,
! [X1,X2] :
( lesseq(X1,X2)
<=> lesseq(summation(X1),summation(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',summation_monotone) ).
fof(lesseq_trans,axiom,
! [X1,X2,X3] :
( ( lesseq(X2,X3)
& lesseq(X1,X2) )
=> lesseq(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lesseq_trans) ).
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,
! [X28,X29,X30,X32,X33,X34,X35] :
( ( model_ub(X32,X33,X34)
| ~ lesseq(sum(c,summation(X35)),X34)
| ~ ub(X32,X33,X35) )
& ( ~ model_ub(X28,X29,X30)
| lesseq(sum(c,summation(esk1_3(X28,X29,X30))),X30) )
& ( ~ model_ub(X28,X29,X30)
| ub(X28,X29,esk1_3(X28,X29,X30)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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)],[model_ub_5])])])])])])]) ).
fof(c_0_16,plain,
! [X25,X26,X27] :
( ( model_max(X25,X26,X27)
| ~ lesseq(sum(c,summation(max(X25,X26))),X27) )
& ( lesseq(sum(c,summation(max(X25,X26))),X27)
| ~ model_max(X25,X26,X27) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[model_max_5])])]) ).
fof(c_0_17,plain,
! [X1,X2] :
( ~ lesseq(X2,X1)
| max(X1,X2) = X1 ),
inference(fof_simplification,[status(thm)],[max_1]) ).
fof(c_0_18,plain,
! [X44,X45,X46,X47,X48,X49,X50] :
( ( minsol_model_ub(X48,X49,X50)
| ~ model_ub(X48,X49,X50)
| ~ lesseq(X50,esk3_3(X48,X49,X50)) )
& ( minsol_model_ub(X48,X49,X50)
| ~ model_ub(X48,X49,X50)
| model_ub(X48,X49,esk3_3(X48,X49,X50)) )
& ( ~ minsol_model_ub(X44,X45,X46)
| lesseq(X46,X47)
| ~ model_ub(X44,X45,X47) )
& ( ~ minsol_model_ub(X44,X45,X46)
| model_ub(X44,X45,X46) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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)],[minsol_model_ub])])])])])])]) ).
fof(c_0_19,negated_conjecture,
( ( minsol_model_max(esk4_0,esk5_0,esk6_0)
| minsol_model_ub(esk4_0,esk5_0,esk6_0) )
& ( ~ minsol_model_max(esk4_0,esk5_0,esk6_0)
| ~ minsol_model_ub(esk4_0,esk5_0,esk6_0) ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).
cnf(c_0_20,plain,
( ~ lesseq(sum(c,summation(X3)),X4)
| ~ ub(X1,X2,X3)
| model_ub(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
( ~ model_max(X1,X2,X3)
| lesseq(sum(c,summation(max(X1,X2))),X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_22,plain,
! [X18,X19] :
( ~ lesseq(X19,X18)
| max(X18,X19) = X18 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_17])]) ).
fof(c_0_23,plain,
! [X36,X37,X38,X39,X40,X41,X42] :
( ( minsol_model_max(X40,X41,X42)
| ~ model_max(X40,X41,X42)
| ~ lesseq(X42,esk2_3(X40,X41,X42)) )
& ( minsol_model_max(X40,X41,X42)
| ~ model_max(X40,X41,X42)
| model_max(X40,X41,esk2_3(X40,X41,X42)) )
& ( ~ minsol_model_max(X36,X37,X38)
| lesseq(X38,X39)
| ~ model_max(X36,X37,X39) )
& ( ~ minsol_model_max(X36,X37,X38)
| model_max(X36,X37,X38) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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)],[minsol_model_max])])])])])])]) ).
cnf(c_0_24,plain,
( ~ minsol_model_ub(X1,X2,X3)
| model_ub(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,negated_conjecture,
( minsol_model_max(esk4_0,esk5_0,esk6_0)
| minsol_model_ub(esk4_0,esk5_0,esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,plain,
( ~ ub(X1,X2,max(X4,X5))
| ~ model_max(X4,X5,X3)
| model_ub(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_27,plain,
( ~ lesseq(X2,X1)
| max(X1,X2) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
( ~ minsol_model_max(X1,X2,X3)
| model_max(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,negated_conjecture,
( model_ub(esk4_0,esk5_0,esk6_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,plain,
( ~ lesseq(X5,X4)
| ~ ub(X1,X2,X4)
| ~ model_max(X4,X5,X3)
| model_ub(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,negated_conjecture,
( model_max(esk4_0,esk5_0,esk6_0)
| model_ub(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
fof(c_0_32,plain,
! [X11,X12] :
( lesseq(X12,X11)
| lesseq(X11,X12) ),
inference(variable_rename,[status(thm)],[lesseq_total]) ).
cnf(c_0_33,negated_conjecture,
( ~ lesseq(esk5_0,esk4_0)
| ~ ub(X1,X2,esk4_0)
| model_ub(X1,X2,esk6_0)
| model_ub(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,plain,
( lesseq(X2,X1)
| lesseq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_35,plain,
! [X22,X23,X24] :
( ( ub(X22,X23,X24)
| ~ lesseq(X23,X24)
| ~ lesseq(X22,X24) )
& ( ~ ub(X22,X23,X24)
| lesseq(X23,X24) )
& ( ~ ub(X22,X23,X24)
| lesseq(X22,X24) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ub])])])]) ).
cnf(c_0_36,negated_conjecture,
( ~ ub(X1,X2,esk4_0)
| lesseq(esk4_0,esk5_0)
| model_ub(X1,X2,esk6_0)
| model_ub(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,plain,
( ~ lesseq(X3,X2)
| ~ lesseq(X1,X2)
| ub(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_38,plain,
! [X1,X2] :
( ~ lesseq(X1,X2)
| max(X1,X2) = X2 ),
inference(fof_simplification,[status(thm)],[max_2]) ).
cnf(c_0_39,negated_conjecture,
( ~ lesseq(X1,esk4_0)
| ~ lesseq(X2,esk4_0)
| lesseq(esk4_0,esk5_0)
| model_ub(X1,X2,esk6_0)
| model_ub(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
fof(c_0_40,plain,
! [X5] : lesseq(X5,X5),
inference(variable_rename,[status(thm)],[lesseq_ref]) ).
fof(c_0_41,plain,
! [X20,X21] :
( ~ lesseq(X20,X21)
| max(X20,X21) = X21 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_38])]) ).
cnf(c_0_42,negated_conjecture,
( ~ lesseq(X1,esk4_0)
| lesseq(esk4_0,X2)
| lesseq(esk4_0,esk5_0)
| model_ub(X1,X2,esk6_0)
| model_ub(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_34]) ).
cnf(c_0_43,plain,
lesseq(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_44,plain,
( ~ minsol_model_max(X1,X2,X4)
| ~ model_max(X1,X2,X3)
| lesseq(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_45,plain,
( ~ lesseq(sum(c,summation(max(X1,X2))),X3)
| model_max(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_46,plain,
( ~ lesseq(X1,X2)
| max(X1,X2) = X2 ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_47,negated_conjecture,
( lesseq(esk4_0,X1)
| lesseq(esk4_0,esk5_0)
| model_ub(esk4_0,X1,esk6_0)
| model_ub(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,negated_conjecture,
( ~ model_max(esk4_0,esk5_0,X1)
| lesseq(esk6_0,X1)
| model_ub(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_44,c_0_29]) ).
cnf(c_0_49,plain,
model_max(X1,X2,sum(c,summation(max(X1,X2)))),
inference(spm,[status(thm)],[c_0_45,c_0_43]) ).
fof(c_0_50,plain,
! [X9,X10] :
( X9 = X10
| ~ lesseq(X10,X9)
| ~ lesseq(X9,X10) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lesseq_antisymmetric])])]) ).
cnf(c_0_51,plain,
( ~ lesseq(X3,X1)
| ~ model_max(X3,X1,X2)
| lesseq(sum(c,summation(X1)),X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_46]) ).
cnf(c_0_52,negated_conjecture,
( lesseq(esk4_0,esk5_0)
| model_ub(esk4_0,esk5_0,esk6_0) ),
inference(ef,[status(thm)],[c_0_47]) ).
cnf(c_0_53,negated_conjecture,
( lesseq(esk6_0,sum(c,summation(max(esk4_0,esk5_0))))
| model_ub(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
fof(c_0_54,plain,
! [X13,X14,X15] :
( ( lesseq(X13,X14)
| ~ lesseq(sum(X15,X13),sum(X15,X14)) )
& ( lesseq(sum(X15,X13),sum(X15,X14))
| ~ lesseq(X13,X14) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sum_monotone_1])])]) ).
cnf(c_0_55,plain,
( ~ lesseq(X2,X1)
| ~ lesseq(X1,X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_56,negated_conjecture,
( lesseq(sum(c,summation(esk5_0)),esk6_0)
| model_ub(esk4_0,esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_31]),c_0_52]) ).
cnf(c_0_57,negated_conjecture,
( lesseq(esk6_0,sum(c,summation(esk5_0)))
| model_ub(esk4_0,esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_46]),c_0_52]) ).
cnf(c_0_58,plain,
( ~ lesseq(sum(X1,X2),sum(X1,X3))
| lesseq(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_59,negated_conjecture,
( model_ub(esk4_0,esk5_0,esk6_0)
| sum(c,summation(esk5_0)) = esk6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).
cnf(c_0_60,plain,
( ~ lesseq(X3,sum(c,summation(max(X1,X2))))
| ~ model_max(X1,X2,X3)
| sum(c,summation(max(X1,X2))) = X3 ),
inference(spm,[status(thm)],[c_0_55,c_0_21]) ).
cnf(c_0_61,negated_conjecture,
( ~ ub(X1,X2,esk5_0)
| model_ub(X1,X2,esk6_0)
| model_ub(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_20,c_0_56]) ).
fof(c_0_62,plain,
! [X16,X17] :
( ( lesseq(X16,X17)
| ~ lesseq(summation(X16),summation(X17)) )
& ( lesseq(summation(X16),summation(X17))
| ~ lesseq(X16,X17) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[summation_monotone])])]) ).
cnf(c_0_63,negated_conjecture,
( ~ lesseq(sum(c,X1),esk6_0)
| lesseq(X1,summation(esk5_0))
| model_ub(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_64,negated_conjecture,
( model_ub(esk4_0,esk5_0,esk6_0)
| sum(c,summation(max(esk4_0,esk5_0))) = esk6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_53]),c_0_31]) ).
cnf(c_0_65,negated_conjecture,
( ~ lesseq(X1,esk5_0)
| ~ lesseq(X2,esk5_0)
| model_ub(X1,X2,esk6_0)
| model_ub(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_61,c_0_37]) ).
fof(c_0_66,plain,
! [X6,X7,X8] :
( lesseq(X6,X8)
| ~ lesseq(X7,X8)
| ~ lesseq(X6,X7) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lesseq_trans])])]) ).
cnf(c_0_67,plain,
( ~ ub(X1,X3,X2)
| lesseq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_68,plain,
( ~ model_ub(X1,X2,X3)
| ub(X1,X2,esk1_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_69,plain,
( ~ lesseq(summation(X1),summation(X2))
| lesseq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_70,negated_conjecture,
( lesseq(summation(max(esk4_0,esk5_0)),summation(esk5_0))
| model_ub(esk4_0,esk5_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_43])]) ).
cnf(c_0_71,negated_conjecture,
( ~ lesseq(X1,esk5_0)
| model_ub(X1,esk5_0,esk6_0)
| model_ub(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_43]) ).
cnf(c_0_72,plain,
( ~ lesseq(X2,X3)
| ~ lesseq(X1,X2)
| lesseq(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_73,plain,
( ~ model_ub(X1,X2,X3)
| lesseq(X1,esk1_3(X1,X2,X3)) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_74,negated_conjecture,
( lesseq(max(esk4_0,esk5_0),esk5_0)
| model_ub(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_75,negated_conjecture,
( lesseq(esk5_0,X1)
| model_ub(X1,esk5_0,esk6_0)
| model_ub(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_71,c_0_34]) ).
cnf(c_0_76,plain,
( ~ lesseq(X1,X2)
| ~ model_ub(X2,X3,X4)
| lesseq(X1,esk1_3(X2,X3,X4)) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_77,negated_conjecture,
( model_ub(esk4_0,esk5_0,esk6_0)
| model_ub(max(esk4_0,esk5_0),esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_71,c_0_74]) ).
cnf(c_0_78,negated_conjecture,
( lesseq(esk5_0,esk4_0)
| model_ub(esk4_0,esk5_0,esk6_0) ),
inference(ef,[status(thm)],[c_0_75]) ).
cnf(c_0_79,plain,
( ~ model_max(X1,X2,sum(c,X3))
| lesseq(summation(max(X1,X2)),X3) ),
inference(spm,[status(thm)],[c_0_58,c_0_21]) ).
cnf(c_0_80,plain,
( ~ ub(X3,X1,X2)
| lesseq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_81,plain,
( ~ lesseq(X5,X2)
| ~ lesseq(X1,X5)
| ~ model_ub(X2,X3,X4)
| lesseq(X1,esk1_3(X2,X3,X4)) ),
inference(spm,[status(thm)],[c_0_72,c_0_76]) ).
cnf(c_0_82,negated_conjecture,
model_ub(esk4_0,esk5_0,esk6_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_27]),c_0_78]) ).
cnf(c_0_83,plain,
( ~ model_max(X1,X2,sum(c,summation(X3)))
| lesseq(max(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_69,c_0_79]) ).
cnf(c_0_84,plain,
( ~ lesseq(X1,X2)
| model_max(X1,X2,sum(c,summation(X2))) ),
inference(spm,[status(thm)],[c_0_49,c_0_46]) ).
cnf(c_0_85,plain,
( ~ model_ub(X2,X1,X3)
| lesseq(X1,esk1_3(X2,X1,X3)) ),
inference(spm,[status(thm)],[c_0_80,c_0_68]) ).
cnf(c_0_86,negated_conjecture,
( ~ lesseq(X1,X2)
| ~ lesseq(X2,esk4_0)
| lesseq(X1,esk1_3(esk4_0,esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_87,plain,
( ~ lesseq(X1,X2)
| lesseq(max(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_88,plain,
( ~ lesseq(X1,X3)
| ~ model_ub(X2,X3,X4)
| lesseq(X1,esk1_3(X2,X3,X4)) ),
inference(spm,[status(thm)],[c_0_72,c_0_85]) ).
cnf(c_0_89,negated_conjecture,
( ~ lesseq(X2,esk4_0)
| ~ lesseq(X1,max(X2,esk4_0))
| lesseq(X1,esk1_3(esk4_0,esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_90,plain,
( ~ lesseq(X5,X3)
| ~ lesseq(X1,X5)
| ~ model_ub(X2,X3,X4)
| lesseq(X1,esk1_3(X2,X3,X4)) ),
inference(spm,[status(thm)],[c_0_72,c_0_88]) ).
cnf(c_0_91,negated_conjecture,
( ~ lesseq(X1,esk4_0)
| lesseq(max(X1,esk4_0),esk1_3(esk4_0,esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_89,c_0_43]) ).
cnf(c_0_92,negated_conjecture,
( ~ lesseq(X1,X2)
| ~ lesseq(X2,esk5_0)
| lesseq(X1,esk1_3(esk4_0,esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_90,c_0_82]) ).
cnf(c_0_93,plain,
( ~ model_ub(X1,X2,X3)
| lesseq(sum(c,summation(esk1_3(X1,X2,X3))),X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_94,plain,
( ~ lesseq(X3,X2)
| lesseq(X3,X1)
| lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_72,c_0_34]) ).
cnf(c_0_95,plain,
( ~ lesseq(X1,X2)
| lesseq(summation(X1),summation(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_96,negated_conjecture,
( ~ lesseq(X1,esk4_0)
| lesseq(esk4_0,esk1_3(esk4_0,esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_91,c_0_46]) ).
cnf(c_0_97,negated_conjecture,
( ~ lesseq(X2,esk5_0)
| ~ lesseq(X1,max(X2,esk5_0))
| lesseq(X1,esk1_3(esk4_0,esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_92,c_0_87]) ).
cnf(c_0_98,plain,
( ~ lesseq(X1,sum(c,summation(esk1_3(X3,X4,X2))))
| ~ model_ub(X3,X4,X2)
| lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_72,c_0_93]) ).
cnf(c_0_99,plain,
( ~ lesseq(X1,X2)
| lesseq(sum(X3,X1),sum(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_100,plain,
( ~ lesseq(X1,X3)
| lesseq(X2,summation(X3))
| lesseq(summation(X1),X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_101,negated_conjecture,
lesseq(esk4_0,esk1_3(esk4_0,esk5_0,esk6_0)),
inference(spm,[status(thm)],[c_0_96,c_0_43]) ).
cnf(c_0_102,plain,
( ~ ub(X1,X2,esk1_3(X4,X5,X3))
| ~ model_ub(X4,X5,X3)
| model_ub(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_20,c_0_93]) ).
cnf(c_0_103,negated_conjecture,
( ~ lesseq(X1,esk5_0)
| lesseq(max(X1,esk5_0),esk1_3(esk4_0,esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_97,c_0_43]) ).
cnf(c_0_104,plain,
( ~ lesseq(X1,summation(esk1_3(X3,X4,X2)))
| ~ model_ub(X3,X4,X2)
| lesseq(sum(c,X1),X2) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_105,negated_conjecture,
( lesseq(summation(esk4_0),X1)
| lesseq(X1,summation(esk1_3(esk4_0,esk5_0,esk6_0))) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_106,plain,
( ~ lesseq(X1,esk1_3(X4,X5,X3))
| ~ lesseq(X2,esk1_3(X4,X5,X3))
| ~ model_ub(X4,X5,X3)
| model_ub(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_102,c_0_37]) ).
cnf(c_0_107,negated_conjecture,
( ~ lesseq(X1,esk5_0)
| lesseq(esk5_0,esk1_3(esk4_0,esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_103,c_0_46]) ).
cnf(c_0_108,plain,
( ~ lesseq(X3,X2)
| ~ lesseq(X1,summation(X3))
| lesseq(X1,summation(X2)) ),
inference(spm,[status(thm)],[c_0_72,c_0_95]) ).
cnf(c_0_109,plain,
( ~ lesseq(X2,X1)
| ~ lesseq(sum(c,summation(X1)),X3)
| model_max(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_45,c_0_27]) ).
cnf(c_0_110,negated_conjecture,
( lesseq(summation(esk4_0),X1)
| lesseq(sum(c,X1),esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_82])]) ).
cnf(c_0_111,negated_conjecture,
( ~ lesseq(X1,esk1_3(esk4_0,esk5_0,esk6_0))
| model_ub(X1,esk4_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_101]),c_0_82])]) ).
cnf(c_0_112,negated_conjecture,
lesseq(esk5_0,esk1_3(esk4_0,esk5_0,esk6_0)),
inference(spm,[status(thm)],[c_0_107,c_0_43]) ).
cnf(c_0_113,plain,
( ~ lesseq(X1,X3)
| ~ lesseq(X3,X2)
| lesseq(summation(X1),summation(X2)) ),
inference(spm,[status(thm)],[c_0_108,c_0_95]) ).
cnf(c_0_114,negated_conjecture,
( ~ lesseq(X2,X1)
| lesseq(summation(esk4_0),summation(X1))
| model_max(X1,X2,esk6_0) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_115,plain,
( ~ lesseq(X1,esk1_3(X2,X4,X3))
| ~ model_ub(X2,X4,X3)
| model_ub(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_106,c_0_73]) ).
cnf(c_0_116,plain,
( ~ model_ub(X1,X2,X3)
| minsol_model_ub(X1,X2,X3)
| model_ub(X1,X2,esk3_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_117,negated_conjecture,
model_ub(esk5_0,esk4_0,esk6_0),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_118,plain,
( ~ lesseq(X1,X2)
| ~ model_ub(X2,X3,X4)
| lesseq(summation(X1),summation(esk1_3(X2,X3,X4))) ),
inference(spm,[status(thm)],[c_0_113,c_0_73]) ).
cnf(c_0_119,negated_conjecture,
( lesseq(summation(esk4_0),summation(X1))
| model_max(X1,X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_114,c_0_43]) ).
cnf(c_0_120,plain,
( ~ minsol_model_ub(X1,X2,X4)
| ~ model_ub(X1,X2,X3)
| lesseq(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_121,plain,
( ~ model_ub(X2,X1,X3)
| model_ub(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_115,c_0_85]) ).
cnf(c_0_122,negated_conjecture,
( model_ub(esk5_0,esk4_0,esk3_3(esk5_0,esk4_0,esk6_0))
| minsol_model_ub(esk5_0,esk4_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_123,plain,
( ~ lesseq(X1,X3)
| ~ model_ub(X3,X4,X2)
| lesseq(sum(c,summation(X1)),X2) ),
inference(spm,[status(thm)],[c_0_104,c_0_118]) ).
cnf(c_0_124,negated_conjecture,
( lesseq(esk4_0,X1)
| model_max(X1,X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_69,c_0_119]) ).
cnf(c_0_125,negated_conjecture,
( ~ model_ub(esk4_0,esk5_0,X1)
| lesseq(esk6_0,X1)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_120,c_0_25]) ).
cnf(c_0_126,negated_conjecture,
( model_ub(esk4_0,esk5_0,esk3_3(esk5_0,esk4_0,esk6_0))
| minsol_model_ub(esk5_0,esk4_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_127,plain,
( ~ lesseq(X1,esk1_3(X4,X2,X3))
| ~ model_ub(X4,X2,X3)
| model_ub(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_106,c_0_85]) ).
cnf(c_0_128,negated_conjecture,
model_ub(esk4_0,esk4_0,esk6_0),
inference(spm,[status(thm)],[c_0_111,c_0_101]) ).
cnf(c_0_129,negated_conjecture,
( ~ lesseq(X1,esk4_0)
| lesseq(sum(c,summation(X1)),esk6_0) ),
inference(spm,[status(thm)],[c_0_123,c_0_82]) ).
cnf(c_0_130,plain,
( ~ lesseq(X1,X2)
| ~ lesseq(summation(X2),summation(X1))
| summation(X1) = summation(X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_95]) ).
cnf(c_0_131,negated_conjecture,
( lesseq(esk4_0,X1)
| lesseq(sum(c,summation(X1)),esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_124]),c_0_43])]) ).
cnf(c_0_132,plain,
( ~ model_ub(X2,X3,X1)
| ~ lesseq(X1,esk3_3(X2,X3,X1))
| minsol_model_ub(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_133,negated_conjecture,
( lesseq(esk6_0,esk3_3(esk5_0,esk4_0,esk6_0))
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| minsol_model_ub(esk5_0,esk4_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_134,plain,
( ~ lesseq(X1,X4)
| ~ model_ub(X4,X2,X3)
| model_ub(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_127,c_0_76]) ).
cnf(c_0_135,negated_conjecture,
( model_ub(esk4_0,esk4_0,esk3_3(esk4_0,esk4_0,esk6_0))
| minsol_model_ub(esk4_0,esk4_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_116,c_0_128]) ).
cnf(c_0_136,negated_conjecture,
( ~ lesseq(max(X1,X2),esk4_0)
| model_max(X1,X2,esk6_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_129]) ).
cnf(c_0_137,plain,
( ~ lesseq(X2,X1)
| ~ lesseq(X1,X2)
| summation(X1) = summation(X2) ),
inference(spm,[status(thm)],[c_0_130,c_0_95]) ).
cnf(c_0_138,negated_conjecture,
( lesseq(esk4_0,max(X1,X2))
| model_max(X1,X2,esk6_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_131]) ).
cnf(c_0_139,negated_conjecture,
( minsol_model_max(esk4_0,esk5_0,esk6_0)
| minsol_model_ub(esk5_0,esk4_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_117])]) ).
cnf(c_0_140,negated_conjecture,
( ~ lesseq(X1,esk4_0)
| model_ub(X1,esk4_0,esk3_3(esk4_0,esk4_0,esk6_0))
| minsol_model_ub(esk4_0,esk4_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_141,plain,
( ~ lesseq(X1,max(X4,X5))
| ~ lesseq(X2,max(X4,X5))
| ~ model_max(X4,X5,X3)
| model_ub(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_26,c_0_37]) ).
cnf(c_0_142,plain,
( ~ model_max(X1,X2,X3)
| minsol_model_max(X1,X2,X3)
| model_max(X1,X2,esk2_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_143,negated_conjecture,
( ~ lesseq(X1,esk4_0)
| model_max(X1,esk4_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_136,c_0_87]) ).
cnf(c_0_144,plain,
( ~ lesseq(max(X1,X2),X4)
| ~ lesseq(X4,max(X1,X2))
| ~ lesseq(sum(c,summation(X4)),X3)
| model_max(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_45,c_0_137]) ).
cnf(c_0_145,negated_conjecture,
( ~ lesseq(X3,esk4_0)
| lesseq(X3,max(X1,X2))
| model_max(X1,X2,esk6_0) ),
inference(spm,[status(thm)],[c_0_72,c_0_138]) ).
cnf(c_0_146,plain,
( ~ lesseq(X1,X2)
| lesseq(X3,X2)
| lesseq(max(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_94,c_0_87]) ).
cnf(c_0_147,negated_conjecture,
( ~ model_ub(esk5_0,esk4_0,X1)
| lesseq(esk6_0,X1)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_120,c_0_139]) ).
cnf(c_0_148,negated_conjecture,
( lesseq(esk4_0,X1)
| model_ub(X1,esk4_0,esk3_3(esk4_0,esk4_0,esk6_0))
| minsol_model_ub(esk4_0,esk4_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_140,c_0_34]) ).
cnf(c_0_149,plain,
( ~ lesseq(X1,max(X2,X3))
| ~ model_max(X2,X3,X4)
| model_ub(X1,max(X2,X3),X4) ),
inference(spm,[status(thm)],[c_0_141,c_0_43]) ).
cnf(c_0_150,negated_conjecture,
( ~ lesseq(X1,esk4_0)
| model_max(X1,esk4_0,esk2_3(X1,esk4_0,esk6_0))
| minsol_model_max(X1,esk4_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_151,negated_conjecture,
( ~ lesseq(X3,esk4_0)
| ~ lesseq(max(X1,X2),X3)
| model_max(X1,X2,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_129]),c_0_145]) ).
cnf(c_0_152,plain,
( lesseq(X2,X1)
| lesseq(max(X1,X1),X2) ),
inference(spm,[status(thm)],[c_0_146,c_0_43]) ).
cnf(c_0_153,negated_conjecture,
( lesseq(esk4_0,esk5_0)
| lesseq(esk6_0,esk3_3(esk4_0,esk4_0,esk6_0))
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| minsol_model_ub(esk4_0,esk4_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_154,plain,
( ~ lesseq(X4,X2)
| ~ lesseq(X1,X2)
| ~ model_max(X4,X2,X3)
| model_ub(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_149,c_0_46]) ).
cnf(c_0_155,negated_conjecture,
( model_max(esk4_0,esk4_0,esk2_3(esk4_0,esk4_0,esk6_0))
| minsol_model_max(esk4_0,esk4_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_150,c_0_43]) ).
cnf(c_0_156,negated_conjecture,
( ~ lesseq(X2,esk4_0)
| lesseq(X2,X1)
| model_max(X1,X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_157,negated_conjecture,
( lesseq(esk4_0,esk5_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| minsol_model_ub(esk4_0,esk4_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_153]),c_0_128])]) ).
cnf(c_0_158,negated_conjecture,
( ~ lesseq(X1,esk4_0)
| model_ub(X1,esk4_0,esk2_3(esk4_0,esk4_0,esk6_0))
| minsol_model_max(esk4_0,esk4_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_43])]) ).
cnf(c_0_159,negated_conjecture,
( ~ lesseq(X2,esk4_0)
| lesseq(max(X2,esk4_0),X1)
| model_max(X1,X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_156,c_0_87]) ).
cnf(c_0_160,negated_conjecture,
( ~ model_ub(esk4_0,esk4_0,X1)
| lesseq(esk6_0,X1)
| lesseq(esk4_0,esk5_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_120,c_0_157]) ).
cnf(c_0_161,negated_conjecture,
( model_ub(esk4_0,esk4_0,esk2_3(esk4_0,esk4_0,esk6_0))
| minsol_model_max(esk4_0,esk4_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_158,c_0_43]) ).
cnf(c_0_162,negated_conjecture,
( lesseq(max(esk4_0,esk4_0),X1)
| model_max(X1,X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_159,c_0_43]) ).
cnf(c_0_163,plain,
( ~ lesseq(X3,max(X1,X2))
| ~ model_max(X1,X2,X4)
| model_max(max(X1,X2),X3,X4) ),
inference(spm,[status(thm)],[c_0_109,c_0_21]) ).
cnf(c_0_164,plain,
( ~ model_max(X2,X3,X1)
| ~ lesseq(X1,esk2_3(X2,X3,X1))
| minsol_model_max(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_165,negated_conjecture,
( lesseq(esk4_0,esk5_0)
| lesseq(esk6_0,esk2_3(esk4_0,esk4_0,esk6_0))
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| minsol_model_max(esk4_0,esk4_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_166,negated_conjecture,
model_max(esk4_0,esk4_0,esk6_0),
inference(spm,[status(thm)],[c_0_136,c_0_162]) ).
cnf(c_0_167,plain,
( ~ lesseq(X4,X1)
| ~ lesseq(X2,X1)
| ~ model_max(X4,X1,X3)
| model_max(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_163,c_0_46]) ).
cnf(c_0_168,negated_conjecture,
( lesseq(esk4_0,esk5_0)
| minsol_model_max(esk4_0,esk4_0,esk6_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_166])]) ).
cnf(c_0_169,negated_conjecture,
( ~ lesseq(X1,esk4_0)
| model_max(esk4_0,X1,esk2_3(esk4_0,esk4_0,esk6_0))
| minsol_model_max(esk4_0,esk4_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_155]),c_0_43])]) ).
cnf(c_0_170,negated_conjecture,
( ~ lesseq(X1,esk4_0)
| lesseq(sum(c,summation(esk4_0)),esk6_0) ),
inference(spm,[status(thm)],[c_0_51,c_0_143]) ).
cnf(c_0_171,negated_conjecture,
( ~ model_max(esk4_0,esk5_0,X1)
| lesseq(esk6_0,X1)
| lesseq(esk4_0,esk5_0)
| minsol_model_max(esk4_0,esk4_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_44,c_0_168]) ).
cnf(c_0_172,negated_conjecture,
( lesseq(esk4_0,X1)
| model_max(esk4_0,X1,esk2_3(esk4_0,esk4_0,esk6_0))
| minsol_model_max(esk4_0,esk4_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_169,c_0_34]) ).
cnf(c_0_173,plain,
( ~ ub(X1,X2,X3)
| model_ub(X1,X2,sum(c,summation(X3))) ),
inference(spm,[status(thm)],[c_0_20,c_0_43]) ).
cnf(c_0_174,negated_conjecture,
lesseq(sum(c,summation(esk4_0)),esk6_0),
inference(spm,[status(thm)],[c_0_170,c_0_43]) ).
cnf(c_0_175,negated_conjecture,
( lesseq(esk4_0,esk5_0)
| lesseq(esk6_0,esk2_3(esk4_0,esk4_0,esk6_0))
| minsol_model_max(esk4_0,esk4_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_176,negated_conjecture,
( ~ ub(esk4_0,esk5_0,X1)
| lesseq(esk6_0,sum(c,summation(X1)))
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_125,c_0_173]) ).
cnf(c_0_177,negated_conjecture,
( ~ lesseq(X1,sum(c,summation(esk4_0)))
| lesseq(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_72,c_0_174]) ).
cnf(c_0_178,negated_conjecture,
( lesseq(esk4_0,esk5_0)
| minsol_model_max(esk4_0,esk4_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_175]),c_0_166])]) ).
cnf(c_0_179,negated_conjecture,
( ~ model_ub(esk4_0,esk5_0,X1)
| lesseq(esk6_0,sum(c,summation(esk1_3(esk4_0,esk5_0,X1))))
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_176,c_0_68]) ).
cnf(c_0_180,negated_conjecture,
( ~ lesseq(X1,summation(esk4_0))
| lesseq(sum(c,X1),esk6_0) ),
inference(spm,[status(thm)],[c_0_177,c_0_99]) ).
cnf(c_0_181,negated_conjecture,
( ~ model_max(esk4_0,esk4_0,X1)
| lesseq(esk6_0,X1)
| lesseq(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_44,c_0_178]) ).
cnf(c_0_182,plain,
( ~ lesseq(X3,sum(c,summation(esk1_3(X1,X2,X3))))
| ~ model_ub(X1,X2,X3)
| sum(c,summation(esk1_3(X1,X2,X3))) = X3 ),
inference(spm,[status(thm)],[c_0_55,c_0_93]) ).
cnf(c_0_183,negated_conjecture,
( lesseq(esk6_0,sum(c,summation(esk1_3(esk4_0,esk5_0,esk6_0))))
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_179,c_0_82]) ).
cnf(c_0_184,plain,
( ~ lesseq(summation(max(X1,X2)),X3)
| model_max(X1,X2,sum(c,X3)) ),
inference(spm,[status(thm)],[c_0_45,c_0_99]) ).
cnf(c_0_185,negated_conjecture,
( ~ lesseq(X1,summation(esk4_0))
| ~ lesseq(esk6_0,sum(c,X1))
| sum(c,X1) = esk6_0 ),
inference(spm,[status(thm)],[c_0_55,c_0_180]) ).
cnf(c_0_186,negated_conjecture,
( lesseq(esk4_0,esk5_0)
| lesseq(esk6_0,sum(c,summation(esk4_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_84]),c_0_43])]) ).
cnf(c_0_187,negated_conjecture,
( minsol_model_max(esk4_0,esk5_0,esk6_0)
| sum(c,summation(esk1_3(esk4_0,esk5_0,esk6_0))) = esk6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_82])]) ).
cnf(c_0_188,plain,
( ~ lesseq(X3,X1)
| ~ model_max(X3,X1,sum(c,X2))
| lesseq(summation(X1),X2) ),
inference(spm,[status(thm)],[c_0_79,c_0_46]) ).
cnf(c_0_189,plain,
( ~ lesseq(max(X1,X2),X3)
| model_max(X1,X2,sum(c,summation(X3))) ),
inference(spm,[status(thm)],[c_0_184,c_0_95]) ).
cnf(c_0_190,negated_conjecture,
( lesseq(esk4_0,esk5_0)
| sum(c,summation(esk4_0)) = esk6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_43])]) ).
cnf(c_0_191,negated_conjecture,
( ~ lesseq(X1,esk1_3(esk4_0,esk5_0,esk6_0))
| model_max(X1,esk1_3(esk4_0,esk5_0,esk6_0),esk6_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_84,c_0_187]) ).
cnf(c_0_192,plain,
( ~ lesseq(X3,X1)
| ~ lesseq(max(X3,X1),X2)
| lesseq(summation(X1),summation(X2)) ),
inference(spm,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_193,negated_conjecture,
( ~ model_max(X1,X2,esk6_0)
| lesseq(esk4_0,esk5_0)
| lesseq(max(X1,X2),esk4_0) ),
inference(spm,[status(thm)],[c_0_83,c_0_190]) ).
cnf(c_0_194,negated_conjecture,
( model_max(esk5_0,esk1_3(esk4_0,esk5_0,esk6_0),esk6_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_191,c_0_112]) ).
cnf(c_0_195,negated_conjecture,
( ~ lesseq(X1,esk5_0)
| lesseq(summation(esk5_0),summation(esk1_3(esk4_0,esk5_0,esk6_0))) ),
inference(spm,[status(thm)],[c_0_192,c_0_103]) ).
cnf(c_0_196,plain,
( ~ lesseq(X2,X1)
| model_max(X1,X2,sum(c,summation(X1))) ),
inference(spm,[status(thm)],[c_0_49,c_0_27]) ).
cnf(c_0_197,negated_conjecture,
( lesseq(esk4_0,esk5_0)
| lesseq(max(esk5_0,esk1_3(esk4_0,esk5_0,esk6_0)),esk4_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_198,negated_conjecture,
lesseq(summation(esk5_0),summation(esk1_3(esk4_0,esk5_0,esk6_0))),
inference(spm,[status(thm)],[c_0_195,c_0_43]) ).
cnf(c_0_199,negated_conjecture,
( ~ lesseq(X1,esk1_3(esk4_0,esk5_0,esk6_0))
| model_ub(X1,esk5_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_112]),c_0_82])]) ).
cnf(c_0_200,negated_conjecture,
( ~ lesseq(X1,esk1_3(esk4_0,esk5_0,esk6_0))
| model_max(esk1_3(esk4_0,esk5_0,esk6_0),X1,esk6_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_196,c_0_187]) ).
cnf(c_0_201,negated_conjecture,
( lesseq(esk4_0,esk5_0)
| lesseq(esk1_3(esk4_0,esk5_0,esk6_0),esk4_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_46]),c_0_112])]) ).
cnf(c_0_202,plain,
( ~ lesseq(X1,X2)
| ~ lesseq(sum(c,summation(X2)),X3)
| model_max(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_203,negated_conjecture,
lesseq(sum(c,summation(esk5_0)),esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_198]),c_0_82])]) ).
cnf(c_0_204,negated_conjecture,
model_ub(esk5_0,esk5_0,esk6_0),
inference(spm,[status(thm)],[c_0_199,c_0_112]) ).
cnf(c_0_205,plain,
( ~ lesseq(X1,sum(c,summation(max(X3,X4))))
| ~ model_max(X3,X4,X2)
| lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_72,c_0_21]) ).
cnf(c_0_206,negated_conjecture,
( model_max(esk1_3(esk4_0,esk5_0,esk6_0),esk5_0,esk6_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_200,c_0_112]) ).
cnf(c_0_207,negated_conjecture,
( lesseq(esk4_0,esk5_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| esk1_3(esk4_0,esk5_0,esk6_0) = esk4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_201]),c_0_101])]) ).
cnf(c_0_208,negated_conjecture,
( ~ lesseq(X1,esk5_0)
| model_max(X1,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_202,c_0_203]) ).
cnf(c_0_209,negated_conjecture,
( model_ub(esk5_0,esk5_0,esk3_3(esk5_0,esk5_0,esk6_0))
| minsol_model_ub(esk5_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_116,c_0_204]) ).
cnf(c_0_210,plain,
( ~ lesseq(X4,X3)
| ~ lesseq(X1,sum(c,summation(X3)))
| ~ model_max(X3,X4,X2)
| lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_205,c_0_27]) ).
cnf(c_0_211,negated_conjecture,
model_max(esk4_0,esk5_0,esk6_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_208]),c_0_28]) ).
cnf(c_0_212,negated_conjecture,
( ~ lesseq(X1,esk5_0)
| model_ub(X1,esk5_0,esk3_3(esk5_0,esk5_0,esk6_0))
| minsol_model_ub(esk5_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_134,c_0_209]) ).
cnf(c_0_213,negated_conjecture,
( ~ lesseq(X2,esk4_0)
| ~ model_max(esk4_0,X2,X1)
| lesseq(esk6_0,X1)
| lesseq(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_210,c_0_186]) ).
cnf(c_0_214,negated_conjecture,
( model_max(esk4_0,esk5_0,esk2_3(esk4_0,esk5_0,esk6_0))
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_142,c_0_211]) ).
cnf(c_0_215,negated_conjecture,
( lesseq(esk5_0,X1)
| model_ub(X1,esk5_0,esk3_3(esk5_0,esk5_0,esk6_0))
| minsol_model_ub(esk5_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_212,c_0_34]) ).
cnf(c_0_216,negated_conjecture,
( lesseq(esk4_0,esk5_0)
| lesseq(esk6_0,esk2_3(esk4_0,esk5_0,esk6_0))
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_34]) ).
cnf(c_0_217,negated_conjecture,
( lesseq(esk5_0,esk4_0)
| lesseq(esk6_0,esk3_3(esk5_0,esk5_0,esk6_0))
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| minsol_model_ub(esk5_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_125,c_0_215]) ).
cnf(c_0_218,negated_conjecture,
( lesseq(esk4_0,esk5_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_216]),c_0_211])]) ).
cnf(c_0_219,plain,
( ~ lesseq(X2,X1)
| lesseq(summation(X1),summation(max(X2,X1))) ),
inference(spm,[status(thm)],[c_0_188,c_0_49]) ).
cnf(c_0_220,negated_conjecture,
( lesseq(esk5_0,esk4_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| minsol_model_ub(esk5_0,esk5_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_217]),c_0_204])]) ).
cnf(c_0_221,negated_conjecture,
( ~ lesseq(X1,esk5_0)
| model_ub(X1,esk5_0,esk2_3(esk4_0,esk5_0,esk6_0))
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_214]),c_0_218]) ).
cnf(c_0_222,plain,
( ~ lesseq(X2,X1)
| lesseq(X1,max(X2,X1)) ),
inference(spm,[status(thm)],[c_0_69,c_0_219]) ).
cnf(c_0_223,plain,
( ~ lesseq(X1,max(X4,X5))
| ~ model_max(X4,X5,X3)
| lesseq(max(X4,X5),X2)
| model_ub(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_141,c_0_34]) ).
cnf(c_0_224,negated_conjecture,
( ~ model_ub(esk5_0,esk5_0,X1)
| lesseq(esk6_0,X1)
| lesseq(esk5_0,esk4_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_120,c_0_220]) ).
cnf(c_0_225,negated_conjecture,
( model_ub(esk5_0,esk5_0,esk2_3(esk4_0,esk5_0,esk6_0))
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_221,c_0_43]) ).
cnf(c_0_226,plain,
( ~ lesseq(X4,X2)
| ~ lesseq(X1,max(X4,X2))
| ~ model_max(X4,X2,X3)
| model_ub(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_141,c_0_222]) ).
cnf(c_0_227,plain,
( ~ lesseq(X5,X4)
| ~ lesseq(X1,X4)
| ~ model_max(X4,X5,X3)
| lesseq(X4,X2)
| model_ub(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_223,c_0_27]) ).
cnf(c_0_228,negated_conjecture,
( lesseq(esk5_0,esk4_0)
| lesseq(esk6_0,esk2_3(esk4_0,esk5_0,esk6_0))
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_224,c_0_225]) ).
cnf(c_0_229,plain,
( ~ lesseq(X2,X4)
| ~ lesseq(X1,X4)
| ~ model_max(X4,X2,X3)
| model_ub(X1,X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_27]),c_0_227]) ).
cnf(c_0_230,negated_conjecture,
( lesseq(esk5_0,esk4_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_228]),c_0_211])]) ).
cnf(c_0_231,negated_conjecture,
( ~ lesseq(X1,esk4_0)
| model_ub(X1,esk5_0,esk2_3(esk4_0,esk5_0,esk6_0))
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_214]),c_0_230]) ).
cnf(c_0_232,negated_conjecture,
( model_ub(esk4_0,esk5_0,esk2_3(esk4_0,esk5_0,esk6_0))
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_231,c_0_43]) ).
cnf(c_0_233,negated_conjecture,
( lesseq(esk6_0,esk2_3(esk4_0,esk5_0,esk6_0))
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_125,c_0_232]) ).
cnf(c_0_234,negated_conjecture,
minsol_model_max(esk4_0,esk5_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_233]),c_0_211])]) ).
cnf(c_0_235,negated_conjecture,
( ~ minsol_model_max(esk4_0,esk5_0,esk6_0)
| ~ minsol_model_ub(esk4_0,esk5_0,esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_236,negated_conjecture,
( ~ model_max(esk4_0,esk5_0,X1)
| lesseq(esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_234]) ).
cnf(c_0_237,plain,
( ~ lesseq(X1,esk1_3(X3,X4,X2))
| ~ model_ub(X3,X4,X2)
| lesseq(sum(c,summation(X1)),X2) ),
inference(spm,[status(thm)],[c_0_104,c_0_95]) ).
cnf(c_0_238,negated_conjecture,
( model_ub(esk4_0,esk5_0,esk3_3(esk4_0,esk5_0,esk6_0))
| minsol_model_ub(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_116,c_0_82]) ).
cnf(c_0_239,negated_conjecture,
~ minsol_model_ub(esk4_0,esk5_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_235,c_0_234])]) ).
cnf(c_0_240,negated_conjecture,
lesseq(esk6_0,sum(c,summation(max(esk4_0,esk5_0)))),
inference(spm,[status(thm)],[c_0_236,c_0_49]) ).
cnf(c_0_241,plain,
( ~ model_ub(X3,X1,X2)
| lesseq(sum(c,summation(X1)),X2) ),
inference(spm,[status(thm)],[c_0_237,c_0_85]) ).
cnf(c_0_242,negated_conjecture,
model_ub(esk4_0,esk5_0,esk3_3(esk4_0,esk5_0,esk6_0)),
inference(sr,[status(thm)],[c_0_238,c_0_239]) ).
cnf(c_0_243,negated_conjecture,
sum(c,summation(max(esk4_0,esk5_0))) = esk6_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_240]),c_0_211])]) ).
cnf(c_0_244,negated_conjecture,
lesseq(sum(c,summation(esk5_0)),esk3_3(esk4_0,esk5_0,esk6_0)),
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_245,negated_conjecture,
( ~ lesseq(esk4_0,esk5_0)
| sum(c,summation(esk5_0)) = esk6_0 ),
inference(spm,[status(thm)],[c_0_243,c_0_46]) ).
cnf(c_0_246,negated_conjecture,
( ~ lesseq(esk4_0,esk5_0)
| lesseq(esk6_0,esk3_3(esk4_0,esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_244,c_0_245]) ).
cnf(c_0_247,negated_conjecture,
~ lesseq(esk4_0,esk5_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_246]),c_0_82])]),c_0_239]) ).
cnf(c_0_248,negated_conjecture,
sum(c,summation(esk4_0)) = esk6_0,
inference(sr,[status(thm)],[c_0_190,c_0_247]) ).
cnf(c_0_249,negated_conjecture,
( ~ lesseq(sum(c,X1),esk6_0)
| lesseq(X1,summation(esk4_0)) ),
inference(spm,[status(thm)],[c_0_58,c_0_248]) ).
cnf(c_0_250,negated_conjecture,
lesseq(summation(esk5_0),summation(esk4_0)),
inference(spm,[status(thm)],[c_0_249,c_0_203]) ).
cnf(c_0_251,negated_conjecture,
lesseq(esk5_0,esk4_0),
inference(spm,[status(thm)],[c_0_69,c_0_250]) ).
cnf(c_0_252,negated_conjecture,
( model_ub(esk5_0,esk4_0,esk3_3(esk4_0,esk4_0,esk6_0))
| minsol_model_ub(esk4_0,esk4_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_140,c_0_251]) ).
cnf(c_0_253,negated_conjecture,
( lesseq(esk6_0,esk3_3(esk4_0,esk4_0,esk6_0))
| minsol_model_ub(esk4_0,esk4_0,esk6_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_252]),c_0_248]) ).
cnf(c_0_254,negated_conjecture,
minsol_model_ub(esk4_0,esk4_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_253]),c_0_128])]) ).
cnf(c_0_255,plain,
( ~ model_ub(X1,X3,X2)
| model_ub(X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_115,c_0_73]) ).
cnf(c_0_256,negated_conjecture,
( ~ lesseq(X1,esk4_0)
| model_ub(X1,esk5_0,esk3_3(esk4_0,esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_134,c_0_242]) ).
cnf(c_0_257,negated_conjecture,
( ~ model_ub(esk4_0,esk4_0,X1)
| lesseq(esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_120,c_0_254]) ).
cnf(c_0_258,negated_conjecture,
( ~ lesseq(X1,esk4_0)
| model_ub(X1,X1,esk3_3(esk4_0,esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_255,c_0_256]) ).
cnf(c_0_259,negated_conjecture,
lesseq(esk6_0,esk3_3(esk4_0,esk5_0,esk6_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_43])]) ).
cnf(c_0_260,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_259]),c_0_82])]),c_0_239]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM862+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.35 % Computer : n018.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 03:15:58 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.40 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 86.55/13.11 % Version: 3.5.1
% 86.55/13.11 % Preprocessing class: FSMSSMSSSSSNFFN.
% 86.55/13.11 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 86.55/13.11 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 86.55/13.11 % Starting new_bool_3 with 300s (1) cores
% 86.55/13.11 % Starting new_bool_1 with 300s (1) cores
% 86.55/13.11 % Starting sh5l with 300s (1) cores
% 86.55/13.11 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 841022 completed with status 0
% 86.55/13.11 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 86.55/13.11 % Preprocessing class: FSMSSMSSSSSNFFN.
% 86.55/13.11 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 86.55/13.11 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 86.55/13.11 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 86.55/13.11 % No SInE strategy applied
% 86.55/13.11 % Search class: FGHSF-FFMF32-MFFFFFNN
% 86.55/13.11 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 86.55/13.11 % Starting SubtermCWHack with 136s (1) cores
% 86.55/13.11 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 86.55/13.11 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0U with 136s (1) cores
% 86.55/13.11 % Starting new_bool_3 with 136s (1) cores
% 86.55/13.11 % Starting new_bool_1 with 136s (1) cores
% 86.55/13.11 % G-E--_208_C18_F1_SE_CS_SP_PS_S0U with pid 841033 completed with status 0
% 86.55/13.11 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S0U
% 86.55/13.11 % Preprocessing class: FSMSSMSSSSSNFFN.
% 86.55/13.11 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 86.55/13.11 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 86.55/13.11 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 86.55/13.11 % No SInE strategy applied
% 86.55/13.11 % Search class: FGHSF-FFMF32-MFFFFFNN
% 86.55/13.11 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 86.55/13.11 % Starting SubtermCWHack with 136s (1) cores
% 86.55/13.11 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 86.55/13.11 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0U with 136s (1) cores
% 86.55/13.11 % Preprocessing time : 0.002 s
% 86.55/13.11 % Presaturation interreduction done
% 86.55/13.11
% 86.55/13.11 % Proof found!
% 86.55/13.11 % SZS status Theorem
% 86.55/13.11 % SZS output start CNFRefutation
% See solution above
% 86.55/13.11 % Parsed axioms : 14
% 86.55/13.11 % Removed by relevancy pruning/SinE : 0
% 86.55/13.11 % Initial clauses : 28
% 86.55/13.11 % Removed in clause preprocessing : 0
% 86.55/13.11 % Initial clauses in saturation : 28
% 86.55/13.11 % Processed clauses : 13785
% 86.55/13.11 % ...of these trivial : 100
% 86.55/13.11 % ...subsumed : 9944
% 86.55/13.11 % ...remaining for further processing : 3741
% 86.55/13.11 % Other redundant clauses eliminated : 0
% 86.55/13.11 % Clauses deleted for lack of memory : 0
% 86.55/13.11 % Backward-subsumed : 207
% 86.55/13.11 % Backward-rewritten : 613
% 86.55/13.11 % Generated clauses : 688958
% 86.55/13.11 % ...of the previous two non-redundant : 662189
% 86.55/13.11 % ...aggressively subsumed : 0
% 86.55/13.11 % Contextual simplify-reflections : 62
% 86.55/13.11 % Paramodulations : 688156
% 86.55/13.11 % Factorizations : 698
% 86.55/13.11 % NegExts : 0
% 86.55/13.11 % Equation resolutions : 0
% 86.55/13.11 % Disequality decompositions : 0
% 86.55/13.11 % Total rewrite steps : 39770
% 86.55/13.11 % ...of those cached : 39527
% 86.55/13.11 % Propositional unsat checks : 0
% 86.55/13.11 % Propositional check models : 0
% 86.55/13.11 % Propositional check unsatisfiable : 0
% 86.55/13.11 % Propositional clauses : 0
% 86.55/13.11 % Propositional clauses after purity: 0
% 86.55/13.11 % Propositional unsat core size : 0
% 86.55/13.11 % Propositional preprocessing time : 0.000
% 86.55/13.11 % Propositional encoding time : 0.000
% 86.55/13.11 % Propositional solver time : 0.000
% 86.55/13.11 % Success case prop preproc time : 0.000
% 86.55/13.11 % Success case prop encoding time : 0.000
% 86.55/13.11 % Success case prop solver time : 0.000
% 86.55/13.11 % Current number of processed clauses : 2789
% 86.55/13.11 % Positive orientable unit clauses : 45
% 86.55/13.11 % Positive unorientable unit clauses: 0
% 86.55/13.11 % Negative unit clauses : 2
% 86.55/13.11 % Non-unit-clauses : 2742
% 86.55/13.11 % Current number of unprocessed clauses: 646361
% 86.55/13.11 % ...number of literals in the above : 3166715
% 86.55/13.11 % Current number of archived formulas : 0
% 86.55/13.11 % Current number of archived clauses : 952
% 86.55/13.11 % Clause-clause subsumption calls (NU) : 1209482
% 86.55/13.11 % Rec. Clause-clause subsumption calls : 670359
% 86.55/13.11 % Non-unit clause-clause subsumptions : 10143
% 86.55/13.11 % Unit Clause-clause subsumption calls : 12648
% 86.55/13.11 % Rewrite failures with RHS unbound : 0
% 86.55/13.11 % BW rewrite match attempts : 146
% 86.55/13.11 % BW rewrite match successes : 24
% 86.55/13.11 % Condensation attempts : 0
% 86.55/13.11 % Condensation successes : 0
% 86.55/13.11 % Termbank termtop insertions : 12640318
% 86.55/13.11 % Search garbage collected termcells : 479
% 86.55/13.11
% 86.55/13.11 % -------------------------------------------------
% 86.55/13.11 % User time : 11.789 s
% 86.55/13.11 % System time : 0.470 s
% 86.55/13.11 % Total time : 12.258 s
% 86.55/13.11 % Maximum resident set size: 3592 pages
% 86.55/13.11
% 86.55/13.11 % -------------------------------------------------
% 86.55/13.11 % User time : 58.844 s
% 86.55/13.11 % System time : 2.448 s
% 86.55/13.11 % Total time : 61.293 s
% 86.55/13.11 % Maximum resident set size: 4864 pages
% 86.55/13.11 % E exiting
%------------------------------------------------------------------------------