TSTP Solution File: NUM859+1 by E-SAT---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : NUM859+1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n023.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 : 300s
% DateTime : Tue May 21 01:28:19 EDT 2024
% Result : Theorem 17.42s 2.70s
% Output : CNFRefutation 17.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 12
% Syntax : Number of formulae : 197 ( 15 unt; 0 def)
% Number of atoms : 523 ( 52 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 546 ( 220 ~; 297 |; 18 &)
% ( 7 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 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 : 393 ( 13 sgn 78 !; 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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',model_max_2) ).
fof(lesseq_ref,axiom,
! [X1] : lesseq(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_ref) ).
fof(lesseq_antisymmetric,axiom,
! [X1,X2] :
( ( lesseq(X1,X2)
& lesseq(X2,X1) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_antisymmetric) ).
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/benchmark/theBenchmark.p',model_ub_2) ).
fof(ub,axiom,
! [X1,X2,X3] :
( ub(X1,X2,X3)
<=> ( lesseq(X1,X3)
& lesseq(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ub) ).
fof(max_2,axiom,
! [X1,X2] :
( max(X1,X2) = X2
| ~ lesseq(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_2) ).
fof(lesseq_trans,axiom,
! [X1,X2,X3] :
( ( lesseq(X1,X2)
& lesseq(X2,X3) )
=> lesseq(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_trans) ).
fof(max_1,axiom,
! [X1,X2] :
( max(X1,X2) = X1
| ~ lesseq(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_1) ).
fof(lesseq_total,axiom,
! [X1,X2] :
( lesseq(X1,X2)
| lesseq(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_total) ).
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,
! [X16,X17,X18,X19,X20,X21,X22] :
( ( model_ub(X16,X17,X18)
| ~ minsol_model_ub(X16,X17,X18) )
& ( ~ model_ub(X16,X17,X19)
| lesseq(X18,X19)
| ~ minsol_model_ub(X16,X17,X18) )
& ( model_ub(X20,X21,esk5_3(X20,X21,X22))
| ~ model_ub(X20,X21,X22)
| minsol_model_ub(X20,X21,X22) )
& ( ~ lesseq(X22,esk5_3(X20,X21,X22))
| ~ model_ub(X20,X21,X22)
| minsol_model_ub(X20,X21,X22) ) ),
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_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(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).
fof(c_0_15,plain,
! [X8,X9,X10,X11,X12,X13,X14] :
( ( model_max(X8,X9,X10)
| ~ minsol_model_max(X8,X9,X10) )
& ( ~ model_max(X8,X9,X11)
| lesseq(X10,X11)
| ~ minsol_model_max(X8,X9,X10) )
& ( model_max(X12,X13,esk4_3(X12,X13,X14))
| ~ model_max(X12,X13,X14)
| minsol_model_max(X12,X13,X14) )
& ( ~ lesseq(X14,esk4_3(X12,X13,X14))
| ~ model_max(X12,X13,X14)
| minsol_model_max(X12,X13,X14) ) ),
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_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_ub(esk1_0,esk2_0,esk3_0)
| minsol_model_max(esk1_0,esk2_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_18,plain,
! [X32,X33,X34] :
( ( ~ model_max(X32,X33,X34)
| lesseq(max(X32,X33),X34) )
& ( ~ lesseq(max(X32,X33),X34)
| model_max(X32,X33,X34) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[model_max_2])])]) ).
fof(c_0_19,plain,
! [X24] : lesseq(X24,X24),
inference(variable_rename,[status(thm)],[lesseq_ref]) ).
cnf(c_0_20,plain,
( lesseq(X4,X3)
| ~ model_max(X1,X2,X3)
| ~ minsol_model_max(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,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]) ).
cnf(c_0_22,plain,
( model_max(X1,X2,X3)
| ~ lesseq(max(X1,X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
lesseq(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_24,plain,
! [X28,X29] :
( ~ lesseq(X28,X29)
| ~ lesseq(X29,X28)
| X28 = X29 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lesseq_antisymmetric])])]) ).
fof(c_0_25,plain,
! [X35,X36,X37,X39,X40,X41,X42] :
( ( ub(X35,X36,esk6_3(X35,X36,X37))
| ~ model_ub(X35,X36,X37) )
& ( lesseq(esk6_3(X35,X36,X37),X37)
| ~ model_ub(X35,X36,X37) )
& ( ~ ub(X39,X40,X42)
| ~ lesseq(X42,X41)
| model_ub(X39,X40,X41) ) ),
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_2])])])])])])]) ).
fof(c_0_26,plain,
! [X47,X48,X49] :
( ( lesseq(X47,X49)
| ~ ub(X47,X48,X49) )
& ( lesseq(X48,X49)
| ~ ub(X47,X48,X49) )
& ( ~ lesseq(X47,X49)
| ~ lesseq(X48,X49)
| ub(X47,X48,X49) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ub])])])]) ).
cnf(c_0_27,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_20,c_0_21]) ).
cnf(c_0_28,plain,
model_max(X1,X2,max(X1,X2)),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
fof(c_0_29,plain,
! [X1,X2] :
( max(X1,X2) = X2
| ~ lesseq(X1,X2) ),
inference(fof_simplification,[status(thm)],[max_2]) ).
cnf(c_0_30,plain,
( X1 = X2
| ~ lesseq(X1,X2)
| ~ lesseq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,plain,
( lesseq(esk6_3(X1,X2,X3),X3)
| ~ model_ub(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,plain,
( lesseq(X1,X2)
| ~ ub(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,plain,
( ub(X1,X2,esk6_3(X1,X2,X3))
| ~ model_ub(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,negated_conjecture,
( model_ub(esk1_0,esk2_0,esk3_0)
| lesseq(esk3_0,max(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_35,plain,
( model_max(X1,X2,X3)
| ~ minsol_model_max(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_36,plain,
! [X45,X46] :
( max(X45,X46) = X46
| ~ lesseq(X45,X46) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_29])]) ).
fof(c_0_37,plain,
! [X25,X26,X27] :
( ~ lesseq(X25,X26)
| ~ lesseq(X26,X27)
| lesseq(X25,X27) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lesseq_trans])])]) ).
cnf(c_0_38,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_30,c_0_31]) ).
cnf(c_0_39,plain,
( lesseq(X1,esk6_3(X1,X2,X3))
| ~ model_ub(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,negated_conjecture,
( max(esk1_0,esk2_0) = esk3_0
| model_ub(esk1_0,esk2_0,esk3_0)
| ~ lesseq(max(esk1_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_34]) ).
cnf(c_0_41,plain,
( lesseq(max(X1,X2),X3)
| ~ model_max(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_42,negated_conjecture,
( model_ub(esk1_0,esk2_0,esk3_0)
| model_max(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_21]) ).
cnf(c_0_43,plain,
( max(X1,X2) = X2
| ~ lesseq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,plain,
( lesseq(X1,X3)
| ~ lesseq(X1,X2)
| ~ lesseq(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_45,plain,
( esk6_3(X1,X2,X1) = X1
| ~ model_ub(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_46,plain,
( model_ub(X1,X2,X4)
| ~ ub(X1,X2,X3)
| ~ lesseq(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_47,plain,
( ub(X1,X3,X2)
| ~ lesseq(X1,X2)
| ~ lesseq(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_48,negated_conjecture,
( max(esk1_0,esk2_0) = esk3_0
| model_ub(esk1_0,esk2_0,esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_49,plain,
( lesseq(X1,X2)
| ~ model_max(X3,X1,X2)
| ~ lesseq(X3,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_43]) ).
cnf(c_0_50,plain,
( lesseq(X1,X2)
| ~ model_max(X3,X4,X2)
| ~ lesseq(X1,max(X3,X4)) ),
inference(spm,[status(thm)],[c_0_44,c_0_41]) ).
cnf(c_0_51,plain,
( ub(X1,X2,X1)
| ~ model_ub(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_45]) ).
cnf(c_0_52,plain,
( model_ub(X1,X2,X3)
| ~ lesseq(X4,X3)
| ~ lesseq(X2,X4)
| ~ lesseq(X1,X4) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_53,negated_conjecture,
( model_ub(esk1_0,esk2_0,esk3_0)
| model_max(esk1_0,esk2_0,X1)
| ~ lesseq(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_48]) ).
cnf(c_0_54,plain,
( lesseq(X1,max(X2,X1))
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_28]) ).
cnf(c_0_55,plain,
( model_ub(X1,X2,X3)
| ~ model_ub(X1,X2,X4)
| ~ lesseq(esk6_3(X1,X2,X4),X3) ),
inference(spm,[status(thm)],[c_0_46,c_0_33]) ).
cnf(c_0_56,plain,
( lesseq(esk6_3(X1,X2,max(X3,X4)),X5)
| ~ model_ub(X1,X2,max(X3,X4))
| ~ model_max(X3,X4,X5) ),
inference(spm,[status(thm)],[c_0_50,c_0_31]) ).
cnf(c_0_57,plain,
( model_ub(X1,X2,X3)
| ~ model_ub(X1,X2,X1)
| ~ lesseq(X1,X3) ),
inference(spm,[status(thm)],[c_0_46,c_0_51]) ).
cnf(c_0_58,plain,
( model_ub(X1,X2,X3)
| ~ lesseq(X2,X3)
| ~ lesseq(X1,X3) ),
inference(spm,[status(thm)],[c_0_52,c_0_23]) ).
cnf(c_0_59,negated_conjecture,
( model_ub(esk1_0,esk2_0,esk3_0)
| model_max(esk1_0,esk2_0,max(X1,esk3_0))
| ~ lesseq(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_60,plain,
( model_ub(X1,X2,X3)
| ~ model_ub(X1,X2,max(X4,X5))
| ~ model_max(X4,X5,X3) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_61,plain,
( model_ub(X1,X2,X3)
| ~ lesseq(X1,X3)
| ~ lesseq(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_23])]) ).
cnf(c_0_62,negated_conjecture,
( model_ub(esk1_0,esk2_0,esk3_0)
| model_max(esk1_0,esk2_0,max(esk3_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_59,c_0_23]) ).
cnf(c_0_63,plain,
( model_ub(X1,X2,X3)
| ~ model_max(X4,X5,X3)
| ~ lesseq(X1,max(X4,X5))
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_64,plain,
( X1 = max(X2,X3)
| ~ model_max(X2,X3,X1)
| ~ lesseq(X1,max(X2,X3)) ),
inference(spm,[status(thm)],[c_0_30,c_0_41]) ).
cnf(c_0_65,negated_conjecture,
( model_ub(esk1_0,esk2_0,esk3_0)
| lesseq(esk3_0,max(esk3_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_27,c_0_62]) ).
cnf(c_0_66,plain,
( model_ub(X1,X2,X3)
| ~ model_max(X4,X1,X3)
| ~ lesseq(X2,X1)
| ~ lesseq(X4,X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_54]) ).
cnf(c_0_67,plain,
( model_max(X1,X2,X2)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_43]) ).
cnf(c_0_68,negated_conjecture,
( max(esk3_0,esk3_0) = esk3_0
| model_ub(esk1_0,esk2_0,esk3_0)
| ~ model_max(esk3_0,esk3_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_69,plain,
( model_max(X1,X2,X3)
| ~ lesseq(X2,X3)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_43]) ).
cnf(c_0_70,plain,
( lesseq(X1,X2)
| ~ ub(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_71,plain,
( model_ub(X1,X2,X3)
| ~ model_ub(X4,X5,X3)
| ~ lesseq(X2,esk6_3(X4,X5,X3))
| ~ lesseq(X1,esk6_3(X4,X5,X3)) ),
inference(spm,[status(thm)],[c_0_52,c_0_31]) ).
cnf(c_0_72,plain,
( model_ub(X1,X2,X1)
| ~ lesseq(X2,X1)
| ~ lesseq(X3,X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_73,plain,
( lesseq(X1,X2)
| ~ model_max(X3,X4,X2)
| ~ lesseq(X1,X4)
| ~ lesseq(X3,X4) ),
inference(spm,[status(thm)],[c_0_50,c_0_43]) ).
cnf(c_0_74,negated_conjecture,
( max(esk3_0,esk3_0) = esk3_0
| model_ub(esk1_0,esk2_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_23])]) ).
fof(c_0_75,plain,
! [X1,X2] :
( max(X1,X2) = X1
| ~ lesseq(X2,X1) ),
inference(fof_simplification,[status(thm)],[max_1]) ).
cnf(c_0_76,plain,
( lesseq(X4,X3)
| ~ model_ub(X1,X2,X3)
| ~ minsol_model_ub(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_77,plain,
( lesseq(X1,esk6_3(X2,X1,X3))
| ~ model_ub(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_70,c_0_33]) ).
cnf(c_0_78,plain,
( model_ub(X1,X2,X3)
| ~ model_ub(X2,X4,X3)
| ~ lesseq(X1,esk6_3(X2,X4,X3)) ),
inference(spm,[status(thm)],[c_0_71,c_0_39]) ).
cnf(c_0_79,plain,
( model_ub(X1,X1,X1)
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_23]) ).
cnf(c_0_80,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_44,c_0_34]) ).
cnf(c_0_81,plain,
( lesseq(X1,max(X2,X3))
| ~ lesseq(X1,X3)
| ~ lesseq(X2,X3) ),
inference(spm,[status(thm)],[c_0_73,c_0_28]) ).
cnf(c_0_82,negated_conjecture,
( model_ub(esk1_0,esk2_0,esk3_0)
| model_max(esk3_0,esk3_0,X1)
| ~ lesseq(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_74]) ).
fof(c_0_83,plain,
! [X43,X44] :
( max(X43,X44) = X43
| ~ lesseq(X44,X43) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_75])]) ).
cnf(c_0_84,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_76,c_0_17]) ).
fof(c_0_85,plain,
! [X30,X31] :
( lesseq(X30,X31)
| lesseq(X31,X30) ),
inference(variable_rename,[status(thm)],[lesseq_total]) ).
cnf(c_0_86,plain,
( model_ub(X1,X2,X3)
| ~ model_ub(X4,X2,X3)
| ~ lesseq(X1,esk6_3(X4,X2,X3)) ),
inference(spm,[status(thm)],[c_0_71,c_0_77]) ).
cnf(c_0_87,plain,
( lesseq(X1,esk6_3(X2,X3,X4))
| ~ model_ub(X2,X3,X4)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_39]) ).
cnf(c_0_88,plain,
( model_ub(X1,X2,X2)
| ~ model_ub(X2,X3,X2)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_45]) ).
cnf(c_0_89,plain,
model_ub(X1,X1,X1),
inference(spm,[status(thm)],[c_0_79,c_0_23]) ).
cnf(c_0_90,negated_conjecture,
( model_ub(esk1_0,esk2_0,esk3_0)
| lesseq(max(X1,X2),max(esk1_0,esk2_0))
| ~ model_max(X1,X2,esk3_0) ),
inference(spm,[status(thm)],[c_0_80,c_0_41]) ).
cnf(c_0_91,negated_conjecture,
( model_ub(esk1_0,esk2_0,esk3_0)
| model_max(esk3_0,esk3_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_74]) ).
cnf(c_0_92,plain,
( X1 = max(X2,X3)
| ~ model_max(X2,X3,X1)
| ~ lesseq(X1,X3)
| ~ lesseq(X2,X3) ),
inference(spm,[status(thm)],[c_0_64,c_0_81]) ).
cnf(c_0_93,negated_conjecture,
( model_ub(esk1_0,esk2_0,esk3_0)
| model_max(esk3_0,esk3_0,max(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_82,c_0_34]) ).
cnf(c_0_94,plain,
( max(X1,X2) = X1
| ~ lesseq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_95,negated_conjecture,
( minsol_model_max(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_84,c_0_61]) ).
cnf(c_0_96,plain,
( lesseq(X1,X2)
| lesseq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_97,plain,
( model_ub(X1,X2,X3)
| ~ model_ub(X4,X2,X3)
| ~ lesseq(X1,X4) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_98,plain,
( model_ub(X1,X2,X2)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_99,negated_conjecture,
( model_ub(esk1_0,esk2_0,esk3_0)
| lesseq(max(esk3_0,esk3_0),max(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_100,negated_conjecture,
( max(esk3_0,esk3_0) = max(esk1_0,esk2_0)
| model_ub(esk1_0,esk2_0,esk3_0)
| ~ lesseq(max(esk1_0,esk2_0),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_23])]) ).
cnf(c_0_101,plain,
( lesseq(X1,X2)
| ~ model_max(X1,X3,X2)
| ~ lesseq(X3,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_94]) ).
cnf(c_0_102,negated_conjecture,
( minsol_model_max(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_95,c_0_96]) ).
cnf(c_0_103,plain,
( model_ub(X1,X2,X2)
| ~ lesseq(X1,X3)
| ~ lesseq(X3,X2) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_104,negated_conjecture,
( model_ub(esk1_0,esk2_0,esk3_0)
| lesseq(max(esk3_0,esk3_0),esk3_0) ),
inference(spm,[status(thm)],[c_0_99,c_0_48]) ).
cnf(c_0_105,negated_conjecture,
( max(esk3_0,esk3_0) = max(esk1_0,esk2_0)
| model_ub(esk1_0,esk2_0,esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_41]),c_0_42]) ).
cnf(c_0_106,plain,
( lesseq(X1,X2)
| ~ model_ub(X3,X4,X2)
| ~ lesseq(X1,esk6_3(X3,X4,X2)) ),
inference(spm,[status(thm)],[c_0_44,c_0_31]) ).
cnf(c_0_107,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_101,c_0_42]) ).
cnf(c_0_108,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_102,c_0_23]) ).
cnf(c_0_109,plain,
( model_ub(X1,X2,X2)
| ~ lesseq(max(X3,X1),X2)
| ~ lesseq(X3,X1) ),
inference(spm,[status(thm)],[c_0_103,c_0_54]) ).
cnf(c_0_110,negated_conjecture,
( model_ub(esk1_0,esk2_0,esk3_0)
| lesseq(max(esk1_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_111,plain,
( model_ub(X1,X2,X3)
| ~ model_ub(X2,X4,X3)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_87]) ).
cnf(c_0_112,plain,
( lesseq(X1,X2)
| ~ model_ub(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_106,c_0_39]) ).
cnf(c_0_113,negated_conjecture,
( model_ub(esk1_0,esk2_0,esk3_0)
| lesseq(esk1_0,esk2_0)
| lesseq(esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_107,c_0_96]) ).
cnf(c_0_114,plain,
( lesseq(X1,esk6_3(X2,X3,X4))
| ~ model_ub(X2,X3,X4)
| ~ lesseq(X1,X3) ),
inference(spm,[status(thm)],[c_0_44,c_0_77]) ).
cnf(c_0_115,negated_conjecture,
( lesseq(esk1_0,esk2_0)
| lesseq(esk3_0,esk1_0)
| lesseq(esk3_0,X1)
| ~ model_max(esk1_0,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_108]) ).
cnf(c_0_116,plain,
( model_max(X1,X2,X1)
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_94]) ).
cnf(c_0_117,negated_conjecture,
( model_ub(esk1_0,esk2_0,esk3_0)
| ~ lesseq(esk1_0,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]) ).
cnf(c_0_118,negated_conjecture,
( lesseq(esk1_0,esk2_0)
| lesseq(esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_119,plain,
( lesseq(X1,X2)
| ~ model_ub(X3,X4,X2)
| ~ lesseq(X1,X4) ),
inference(spm,[status(thm)],[c_0_106,c_0_114]) ).
cnf(c_0_120,negated_conjecture,
( lesseq(esk3_0,esk1_0)
| lesseq(esk1_0,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_96]) ).
cnf(c_0_121,negated_conjecture,
lesseq(esk1_0,esk3_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_117]),c_0_118]) ).
cnf(c_0_122,negated_conjecture,
( lesseq(X1,esk3_0)
| ~ lesseq(esk1_0,esk2_0)
| ~ lesseq(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_119,c_0_117]) ).
cnf(c_0_123,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_30,c_0_120]),c_0_121])]) ).
cnf(c_0_124,negated_conjecture,
( esk3_0 = esk1_0
| lesseq(X1,esk3_0)
| ~ lesseq(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_125,plain,
( model_max(X1,X2,esk6_3(max(X1,X2),X3,X4))
| ~ model_ub(max(X1,X2),X3,X4) ),
inference(spm,[status(thm)],[c_0_22,c_0_39]) ).
cnf(c_0_126,plain,
( esk6_3(X1,X2,X2) = X2
| ~ model_ub(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_38,c_0_77]) ).
cnf(c_0_127,negated_conjecture,
( esk3_0 = esk1_0
| lesseq(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_124,c_0_23]) ).
cnf(c_0_128,plain,
( X1 = X2
| ~ model_max(X3,X2,X1)
| ~ lesseq(X1,X2)
| ~ lesseq(X3,X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_43]) ).
cnf(c_0_129,plain,
( model_max(X1,X2,X3)
| ~ lesseq(X1,X3)
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_94]) ).
cnf(c_0_130,plain,
( model_ub(X1,X2,X1)
| lesseq(X1,X2)
| ~ lesseq(X3,X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_96]) ).
cnf(c_0_131,plain,
( model_max(X1,X2,X3)
| ~ model_ub(max(X1,X2),X3,X3) ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_132,negated_conjecture,
( esk3_0 = esk1_0
| model_ub(esk2_0,X1,X1)
| ~ lesseq(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_103,c_0_127]) ).
cnf(c_0_133,plain,
( X1 = X2
| ~ lesseq(X1,X2)
| ~ lesseq(X3,X1)
| ~ lesseq(X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_44]) ).
cnf(c_0_134,plain,
( model_ub(X1,X2,X3)
| ~ model_ub(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_78,c_0_77]) ).
cnf(c_0_135,plain,
( model_ub(X1,X2,X1)
| lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_130,c_0_23]) ).
cnf(c_0_136,plain,
( lesseq(X1,X2)
| lesseq(X3,X1)
| ~ lesseq(X3,X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_96]) ).
cnf(c_0_137,plain,
( model_max(X1,X2,X3)
| ~ model_ub(X2,X3,X3)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_131,c_0_43]) ).
cnf(c_0_138,negated_conjecture,
( esk3_0 = esk1_0
| model_ub(esk2_0,esk3_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_132,c_0_23]) ).
cnf(c_0_139,plain,
( esk6_3(X1,X2,X3) = X3
| ~ model_ub(X1,X2,X3)
| ~ lesseq(X4,esk6_3(X1,X2,X3))
| ~ lesseq(X3,X4) ),
inference(spm,[status(thm)],[c_0_133,c_0_31]) ).
cnf(c_0_140,plain,
( model_ub(X1,X2,X3)
| ~ model_ub(X2,X3,X3)
| ~ lesseq(X1,X3) ),
inference(spm,[status(thm)],[c_0_78,c_0_126]) ).
cnf(c_0_141,plain,
( model_ub(X1,X2,X2)
| lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_142,plain,
( lesseq(X1,X2)
| ~ model_ub(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_106,c_0_77]) ).
cnf(c_0_143,negated_conjecture,
( lesseq(esk1_0,X1)
| lesseq(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_136,c_0_121]) ).
cnf(c_0_144,negated_conjecture,
( esk3_0 = esk1_0
| model_max(X1,esk2_0,esk3_0)
| ~ lesseq(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_145,plain,
( esk6_3(X1,X2,X3) = X3
| ~ model_ub(X1,X2,X3)
| ~ lesseq(X3,X1) ),
inference(spm,[status(thm)],[c_0_139,c_0_39]) ).
cnf(c_0_146,plain,
( model_ub(X1,X2,X3)
| lesseq(X3,X2)
| ~ lesseq(X1,X3) ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_147,plain,
( model_ub(X1,X2,X3)
| ~ model_ub(X1,X2,X2)
| ~ lesseq(X2,X3) ),
inference(spm,[status(thm)],[c_0_55,c_0_126]) ).
cnf(c_0_148,negated_conjecture,
( lesseq(esk2_0,esk3_0)
| ~ lesseq(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_142,c_0_117]) ).
cnf(c_0_149,negated_conjecture,
( model_ub(X1,X2,X2)
| lesseq(esk1_0,X1)
| ~ lesseq(esk3_0,X2) ),
inference(spm,[status(thm)],[c_0_103,c_0_143]) ).
cnf(c_0_150,negated_conjecture,
( esk3_0 = esk1_0
| model_ub(esk1_0,X1,X1)
| ~ lesseq(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_103,c_0_123]) ).
cnf(c_0_151,plain,
( model_max(X1,X2,esk4_3(X1,X2,X3))
| minsol_model_max(X1,X2,X3)
| ~ model_max(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_152,negated_conjecture,
( esk3_0 = esk1_0
| model_max(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_144,c_0_123]) ).
cnf(c_0_153,plain,
( model_ub(X1,X2,X3)
| ~ model_ub(X2,X4,X3)
| ~ lesseq(X1,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_145]),c_0_146]) ).
cnf(c_0_154,plain,
( model_ub(X1,X2,X3)
| ~ lesseq(X2,X3)
| ~ lesseq(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_58]),c_0_23])]) ).
cnf(c_0_155,negated_conjecture,
( model_ub(esk2_0,X1,X1)
| ~ lesseq(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_148]),c_0_149]) ).
cnf(c_0_156,negated_conjecture,
( esk3_0 = esk1_0
| model_ub(esk1_0,esk2_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_150,c_0_23]) ).
cnf(c_0_157,negated_conjecture,
( esk3_0 = esk1_0
| minsol_model_max(esk1_0,esk2_0,esk3_0)
| model_max(esk1_0,esk2_0,esk4_3(esk1_0,esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_158,plain,
( model_ub(X1,X2,X3)
| ~ lesseq(X1,X3)
| ~ lesseq(X4,X3)
| ~ lesseq(X2,X4) ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_159,negated_conjecture,
( lesseq(esk2_0,X1)
| ~ lesseq(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_155]) ).
cnf(c_0_160,negated_conjecture,
( esk3_0 = esk1_0
| model_ub(esk1_0,esk2_0,X1)
| ~ lesseq(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_147,c_0_156]) ).
cnf(c_0_161,negated_conjecture,
( esk3_0 = esk1_0
| minsol_model_max(esk1_0,esk2_0,esk3_0)
| lesseq(esk2_0,esk4_3(esk1_0,esk2_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_157]),c_0_123]) ).
cnf(c_0_162,plain,
( model_ub(X1,X2,X1)
| ~ lesseq(X3,X1)
| ~ lesseq(X2,X3) ),
inference(spm,[status(thm)],[c_0_158,c_0_23]) ).
cnf(c_0_163,negated_conjecture,
lesseq(esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_159,c_0_23]) ).
cnf(c_0_164,negated_conjecture,
( esk3_0 = esk1_0
| minsol_model_max(esk1_0,esk2_0,esk3_0)
| model_ub(esk1_0,esk2_0,esk4_3(esk1_0,esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_165,plain,
( model_ub(X1,X2,X1)
| ~ model_ub(X3,X4,X1)
| ~ lesseq(X2,esk6_3(X3,X4,X1)) ),
inference(spm,[status(thm)],[c_0_162,c_0_31]) ).
cnf(c_0_166,negated_conjecture,
( model_ub(esk2_0,X1,esk3_0)
| ~ lesseq(X2,esk3_0)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_158,c_0_163]) ).
cnf(c_0_167,plain,
( minsol_model_max(X2,X3,X1)
| ~ lesseq(X1,esk4_3(X2,X3,X1))
| ~ model_max(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_168,negated_conjecture,
( esk3_0 = esk1_0
| minsol_model_max(esk1_0,esk2_0,esk3_0)
| lesseq(esk3_0,esk4_3(esk1_0,esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_84,c_0_164]) ).
cnf(c_0_169,plain,
( model_ub(X1,X2,X1)
| ~ model_ub(X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_165,c_0_39]) ).
cnf(c_0_170,negated_conjecture,
( model_ub(esk2_0,X1,esk3_0)
| ~ lesseq(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_166,c_0_163]) ).
cnf(c_0_171,negated_conjecture,
( esk3_0 = esk1_0
| minsol_model_max(esk1_0,esk2_0,esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_152]) ).
cnf(c_0_172,plain,
( model_ub(X1,X2,esk5_3(X1,X2,X3))
| minsol_model_ub(X1,X2,X3)
| ~ model_ub(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_173,negated_conjecture,
( model_ub(esk3_0,esk2_0,esk3_0)
| ~ lesseq(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_174,negated_conjecture,
( esk3_0 = esk1_0
| lesseq(esk3_0,X1)
| ~ model_max(esk1_0,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_171]) ).
cnf(c_0_175,negated_conjecture,
( esk3_0 = esk1_0
| minsol_model_ub(esk1_0,esk2_0,esk2_0)
| model_ub(esk1_0,esk2_0,esk5_3(esk1_0,esk2_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_172,c_0_156]) ).
cnf(c_0_176,negated_conjecture,
model_ub(esk3_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_173,c_0_23]) ).
cnf(c_0_177,negated_conjecture,
( esk3_0 = esk1_0
| lesseq(esk3_0,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_67]),c_0_123]) ).
cnf(c_0_178,plain,
( minsol_model_ub(X2,X3,X1)
| ~ lesseq(X1,esk5_3(X2,X3,X1))
| ~ model_ub(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_179,negated_conjecture,
( esk3_0 = esk1_0
| minsol_model_ub(esk1_0,esk2_0,esk2_0)
| lesseq(esk2_0,esk5_3(esk1_0,esk2_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_142,c_0_175]) ).
cnf(c_0_180,negated_conjecture,
( minsol_model_ub(esk3_0,esk2_0,esk3_0)
| model_ub(esk3_0,esk2_0,esk5_3(esk3_0,esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_172,c_0_176]) ).
cnf(c_0_181,negated_conjecture,
( ~ minsol_model_ub(esk1_0,esk2_0,esk3_0)
| ~ minsol_model_max(esk1_0,esk2_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_182,negated_conjecture,
( esk3_0 = esk1_0
| esk3_0 = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_177]),c_0_163])]) ).
cnf(c_0_183,negated_conjecture,
( esk3_0 = esk1_0
| minsol_model_ub(esk1_0,esk2_0,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_156]) ).
cnf(c_0_184,negated_conjecture,
( minsol_model_ub(esk3_0,esk2_0,esk3_0)
| lesseq(esk3_0,esk5_3(esk3_0,esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_112,c_0_180]) ).
cnf(c_0_185,negated_conjecture,
( esk3_0 = esk1_0
| ~ minsol_model_max(esk1_0,esk2_0,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_183]) ).
cnf(c_0_186,negated_conjecture,
( esk3_0 = esk1_0
| esk2_0 != esk1_0 ),
inference(ef,[status(thm)],[c_0_182]) ).
cnf(c_0_187,negated_conjecture,
minsol_model_ub(esk3_0,esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_184]),c_0_176])]) ).
cnf(c_0_188,negated_conjecture,
esk3_0 = esk1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_182]),c_0_185]),c_0_186]) ).
cnf(c_0_189,plain,
( minsol_model_max(X1,X2,max(X3,X4))
| ~ model_max(X3,X4,esk4_3(X1,X2,max(X3,X4)))
| ~ model_max(X1,X2,max(X3,X4)) ),
inference(spm,[status(thm)],[c_0_167,c_0_41]) ).
cnf(c_0_190,plain,
( minsol_model_max(X1,X2,max(X1,X2))
| model_max(X1,X2,esk4_3(X1,X2,max(X1,X2))) ),
inference(spm,[status(thm)],[c_0_151,c_0_28]) ).
cnf(c_0_191,negated_conjecture,
minsol_model_ub(esk1_0,esk2_0,esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_187,c_0_188]),c_0_188]) ).
cnf(c_0_192,plain,
minsol_model_max(X1,X2,max(X1,X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_28])]) ).
cnf(c_0_193,negated_conjecture,
~ minsol_model_max(esk1_0,esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_188]),c_0_188]),c_0_191])]) ).
cnf(c_0_194,plain,
( minsol_model_max(X1,X2,X1)
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_192,c_0_94]) ).
cnf(c_0_195,negated_conjecture,
lesseq(esk2_0,esk1_0),
inference(rw,[status(thm)],[c_0_163,c_0_188]) ).
cnf(c_0_196,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_195])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM859+1 : TPTP v8.2.0. Released v4.1.0.
% 0.12/0.14 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon May 20 04:13:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.51 Running first-order model finding
% 0.21/0.51 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.42/2.70 # Version: 3.1.0
% 17.42/2.70 # Preprocessing class: FSMSSMSSSSSNFFN.
% 17.42/2.70 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 17.42/2.70 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 17.42/2.70 # Starting new_bool_3 with 300s (1) cores
% 17.42/2.70 # Starting new_bool_1 with 300s (1) cores
% 17.42/2.70 # Starting sh5l with 300s (1) cores
% 17.42/2.70 # new_bool_3 with pid 16874 completed with status 0
% 17.42/2.70 # Result found by new_bool_3
% 17.42/2.70 # Preprocessing class: FSMSSMSSSSSNFFN.
% 17.42/2.70 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 17.42/2.70 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 17.42/2.70 # Starting new_bool_3 with 300s (1) cores
% 17.42/2.70 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 17.42/2.70 # Search class: FGHSF-FFMF32-SFFFFFNN
% 17.42/2.70 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 17.42/2.70 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 17.42/2.70 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 16878 completed with status 0
% 17.42/2.70 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 17.42/2.70 # Preprocessing class: FSMSSMSSSSSNFFN.
% 17.42/2.70 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 17.42/2.70 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 17.42/2.70 # Starting new_bool_3 with 300s (1) cores
% 17.42/2.70 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 17.42/2.70 # Search class: FGHSF-FFMF32-SFFFFFNN
% 17.42/2.70 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 17.42/2.70 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 17.42/2.70 # Preprocessing time : 0.001 s
% 17.42/2.70 # Presaturation interreduction done
% 17.42/2.70
% 17.42/2.70 # Proof found!
% 17.42/2.70 # SZS status Theorem
% 17.42/2.70 # SZS output start CNFRefutation
% See solution above
% 17.42/2.70 # Parsed axioms : 14
% 17.42/2.70 # Removed by relevancy pruning/SinE : 2
% 17.42/2.70 # Initial clauses : 24
% 17.42/2.70 # Removed in clause preprocessing : 0
% 17.42/2.70 # Initial clauses in saturation : 24
% 17.42/2.70 # Processed clauses : 8495
% 17.42/2.70 # ...of these trivial : 17
% 17.42/2.70 # ...subsumed : 6603
% 17.42/2.70 # ...remaining for further processing : 1875
% 17.42/2.70 # Other redundant clauses eliminated : 0
% 17.42/2.70 # Clauses deleted for lack of memory : 0
% 17.42/2.70 # Backward-subsumed : 470
% 17.42/2.70 # Backward-rewritten : 810
% 17.42/2.70 # Generated clauses : 129388
% 17.42/2.70 # ...of the previous two non-redundant : 123569
% 17.42/2.70 # ...aggressively subsumed : 0
% 17.42/2.70 # Contextual simplify-reflections : 57
% 17.42/2.70 # Paramodulations : 129315
% 17.42/2.70 # Factorizations : 73
% 17.42/2.70 # NegExts : 0
% 17.42/2.70 # Equation resolutions : 0
% 17.42/2.70 # Disequality decompositions : 0
% 17.42/2.70 # Total rewrite steps : 12200
% 17.42/2.70 # ...of those cached : 12130
% 17.42/2.70 # Propositional unsat checks : 0
% 17.42/2.70 # Propositional check models : 0
% 17.42/2.70 # Propositional check unsatisfiable : 0
% 17.42/2.70 # Propositional clauses : 0
% 17.42/2.70 # Propositional clauses after purity: 0
% 17.42/2.70 # Propositional unsat core size : 0
% 17.42/2.70 # Propositional preprocessing time : 0.000
% 17.42/2.70 # Propositional encoding time : 0.000
% 17.42/2.70 # Propositional solver time : 0.000
% 17.42/2.70 # Success case prop preproc time : 0.000
% 17.42/2.70 # Success case prop encoding time : 0.000
% 17.42/2.70 # Success case prop solver time : 0.000
% 17.42/2.70 # Current number of processed clauses : 571
% 17.42/2.70 # Positive orientable unit clauses : 9
% 17.42/2.70 # Positive unorientable unit clauses: 0
% 17.42/2.70 # Negative unit clauses : 3
% 17.42/2.70 # Non-unit-clauses : 559
% 17.42/2.70 # Current number of unprocessed clauses: 114590
% 17.42/2.70 # ...number of literals in the above : 550284
% 17.42/2.70 # Current number of archived formulas : 0
% 17.42/2.70 # Current number of archived clauses : 1304
% 17.42/2.70 # Clause-clause subsumption calls (NU) : 226625
% 17.42/2.70 # Rec. Clause-clause subsumption calls : 127192
% 17.42/2.70 # Non-unit clause-clause subsumptions : 7101
% 17.42/2.70 # Unit Clause-clause subsumption calls : 2582
% 17.42/2.70 # Rewrite failures with RHS unbound : 0
% 17.42/2.70 # BW rewrite match attempts : 72
% 17.42/2.70 # BW rewrite match successes : 18
% 17.42/2.70 # Condensation attempts : 0
% 17.42/2.70 # Condensation successes : 0
% 17.42/2.70 # Termbank termtop insertions : 1885470
% 17.42/2.70 # Search garbage collected termcells : 452
% 17.42/2.70
% 17.42/2.70 # -------------------------------------------------
% 17.42/2.70 # User time : 2.059 s
% 17.42/2.70 # System time : 0.069 s
% 17.42/2.70 # Total time : 2.128 s
% 17.42/2.70 # Maximum resident set size: 1720 pages
% 17.42/2.70
% 17.42/2.70 # -------------------------------------------------
% 17.42/2.70 # User time : 2.061 s
% 17.42/2.70 # System time : 0.070 s
% 17.42/2.70 # Total time : 2.131 s
% 17.42/2.70 # Maximum resident set size: 1700 pages
% 17.42/2.70 % E---3.1 exiting
%------------------------------------------------------------------------------