%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM859+1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n016.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 5 04:58:46 PM UTC 2026
% Result : Theorem 4.25s 3.25s
% Output : CNFRefutation 4.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 12
% Syntax : Number of formulae : 187 ( 19 unt; 0 def)
% Number of atoms : 487 ( 43 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 513 ( 213 ~; 271 |; 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 : 369 ( 14 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(max_1,axiom,
! [X1,X2] :
( max(X1,X2) = X1
| ~ lesseq(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_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(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(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(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(lesseq_ref,axiom,
! [X1] : lesseq(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_ref) ).
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_2,axiom,
! [X1,X2] :
( max(X1,X2) = X2
| ~ lesseq(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_2) ).
fof(lesseq_total,axiom,
! [X1,X2] :
( lesseq(X1,X2)
| lesseq(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_total) ).
fof(lesseq_antisymmetric,axiom,
! [X1,X2] :
( ( lesseq(X1,X2)
& lesseq(X2,X1) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_antisymmetric) ).
fof(c_0_12,negated_conjecture,
~ ! [X1,X2,X3] :
( minsol_model_ub(X1,X2,X3)
<=> minsol_model_max(X1,X2,X3) ),
inference(assume_negation,[status(cth)],[max_is_ub_1]) ).
fof(c_0_13,plain,
! [X1,X2] :
( max(X1,X2) = X1
| ~ lesseq(X2,X1) ),
inference(fof_simplification,[status(thm)],[max_1]) ).
fof(c_0_14,plain,
! [X82,X83,X84,X85,X86,X87,X88] :
( ( model_ub(X82,X83,X84)
| ~ minsol_model_ub(X82,X83,X84) )
& ( ~ model_ub(X82,X83,X85)
| lesseq(X84,X85)
| ~ minsol_model_ub(X82,X83,X84) )
& ( model_ub(X86,X87,esk3_3(X86,X87,X88))
| ~ model_ub(X86,X87,X88)
| minsol_model_ub(X86,X87,X88) )
& ( ~ lesseq(X88,esk3_3(X86,X87,X88))
| ~ model_ub(X86,X87,X88)
| minsol_model_ub(X86,X87,X88) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[minsol_model_ub])])])])])]) ).
fof(c_0_15,negated_conjecture,
( ( ~ 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)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_16,plain,
! [X66,X67,X68,X70,X71,X72,X73] :
( ( ub(X66,X67,esk1_3(X66,X67,X68))
| ~ model_ub(X66,X67,X68) )
& ( lesseq(esk1_3(X66,X67,X68),X68)
| ~ model_ub(X66,X67,X68) )
& ( ~ ub(X70,X71,X73)
| ~ lesseq(X73,X72)
| model_ub(X70,X71,X72) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[model_ub_2])])])])])]) ).
fof(c_0_17,plain,
! [X60,X61,X62] :
( ( lesseq(X60,X62)
| ~ ub(X60,X61,X62) )
& ( lesseq(X61,X62)
| ~ ub(X60,X61,X62) )
& ( ~ lesseq(X60,X62)
| ~ lesseq(X61,X62)
| ub(X60,X61,X62) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ub])])]) ).
fof(c_0_18,plain,
! [X63,X64,X65] :
( ( ~ model_max(X63,X64,X65)
| lesseq(max(X63,X64),X65) )
& ( ~ lesseq(max(X63,X64),X65)
| model_max(X63,X64,X65) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[model_max_2])]) ).
fof(c_0_19,plain,
! [X56,X57] :
( max(X56,X57) = X56
| ~ lesseq(X57,X56) ),
inference(variable_rename,[status(thm)],[c_0_13]) ).
fof(c_0_20,plain,
! [X74,X75,X76,X77,X78,X79,X80] :
( ( model_max(X74,X75,X76)
| ~ minsol_model_max(X74,X75,X76) )
& ( ~ model_max(X74,X75,X77)
| lesseq(X76,X77)
| ~ minsol_model_max(X74,X75,X76) )
& ( model_max(X78,X79,esk2_3(X78,X79,X80))
| ~ model_max(X78,X79,X80)
| minsol_model_max(X78,X79,X80) )
& ( ~ lesseq(X80,esk2_3(X78,X79,X80))
| ~ model_max(X78,X79,X80)
| minsol_model_max(X78,X79,X80) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[minsol_model_max])])])])])]) ).
cnf(c_0_21,plain,
( model_ub(X1,X2,X3)
| ~ minsol_model_ub(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,negated_conjecture,
( minsol_model_ub(esk4_0,esk5_0,esk6_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
( model_ub(X1,X2,X4)
| ~ ub(X1,X2,X3)
| ~ lesseq(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
( ub(X1,X3,X2)
| ~ lesseq(X1,X2)
| ~ lesseq(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_25,plain,
! [X43] : lesseq(X43,X43),
inference(variable_rename,[status(thm)],[lesseq_ref]) ).
fof(c_0_26,plain,
! [X44,X45,X46] :
( ~ lesseq(X44,X45)
| ~ lesseq(X45,X46)
| lesseq(X44,X46) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lesseq_trans])]) ).
cnf(c_0_27,plain,
( lesseq(max(X1,X2),X3)
| ~ model_max(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28,plain,
( max(X1,X2) = X1
| ~ lesseq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29,plain,
( model_max(X1,X2,X3)
| ~ minsol_model_max(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_30,negated_conjecture,
( minsol_model_max(esk4_0,esk5_0,esk6_0)
| model_ub(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
fof(c_0_31,plain,
! [X1,X2] :
( max(X1,X2) = X2
| ~ lesseq(X1,X2) ),
inference(fof_simplification,[status(thm)],[max_2]) ).
cnf(c_0_32,plain,
( model_ub(X1,X2,X3)
| ~ lesseq(X4,X3)
| ~ lesseq(X2,X4)
| ~ lesseq(X1,X4) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_33,plain,
( lesseq(esk1_3(X1,X2,X3),X3)
| ~ model_ub(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_34,plain,
( lesseq(X1,X2)
| ~ ub(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_35,plain,
( ub(X1,X2,esk1_3(X1,X2,X3))
| ~ model_ub(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_36,plain,
( lesseq(X4,X3)
| ~ model_max(X1,X2,X3)
| ~ minsol_model_max(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_37,plain,
( model_max(X1,X2,X3)
| ~ lesseq(max(X1,X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_38,plain,
lesseq(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_39,plain,
( lesseq(X1,X3)
| ~ lesseq(X1,X2)
| ~ lesseq(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_40,plain,
( lesseq(X1,X2)
| ~ model_max(X1,X3,X2)
| ~ lesseq(X3,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_41,negated_conjecture,
( model_ub(esk4_0,esk5_0,esk6_0)
| model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_42,plain,
! [X49,X50] :
( lesseq(X49,X50)
| lesseq(X50,X49) ),
inference(variable_rename,[status(thm)],[lesseq_total]) ).
fof(c_0_43,plain,
! [X58,X59] :
( max(X58,X59) = X59
| ~ lesseq(X58,X59) ),
inference(variable_rename,[status(thm)],[c_0_31]) ).
fof(c_0_44,plain,
! [X47,X48] :
( ~ lesseq(X47,X48)
| ~ lesseq(X48,X47)
| X47 = X48 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lesseq_antisymmetric])]) ).
cnf(c_0_45,plain,
( model_ub(X1,X2,X3)
| ~ model_ub(X4,X5,X3)
| ~ lesseq(X2,esk1_3(X4,X5,X3))
| ~ lesseq(X1,esk1_3(X4,X5,X3)) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_46,plain,
( lesseq(X1,esk1_3(X2,X1,X3))
| ~ model_ub(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_47,negated_conjecture,
( model_ub(esk4_0,esk5_0,esk6_0)
| lesseq(esk6_0,X1)
| ~ model_max(esk4_0,esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_30]) ).
cnf(c_0_48,plain,
model_max(X1,X2,max(X1,X2)),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_49,plain,
( lesseq(X1,X2)
| ~ model_ub(X3,X4,X2)
| ~ lesseq(X1,esk1_3(X3,X4,X2)) ),
inference(spm,[status(thm)],[c_0_39,c_0_33]) ).
cnf(c_0_50,negated_conjecture,
( model_ub(esk4_0,esk5_0,esk6_0)
| lesseq(esk4_0,esk6_0)
| ~ lesseq(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_51,plain,
( lesseq(X1,X2)
| lesseq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_52,plain,
( max(X1,X2) = X2
| ~ lesseq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_53,plain,
( X1 = X2
| ~ lesseq(X1,X2)
| ~ lesseq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_54,plain,
( lesseq(X1,X2)
| ~ ub(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_55,plain,
( model_ub(X1,X2,X3)
| ~ model_ub(X4,X2,X3)
| ~ lesseq(X1,esk1_3(X4,X2,X3)) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_56,negated_conjecture,
( model_ub(esk4_0,esk5_0,esk6_0)
| lesseq(esk6_0,max(esk4_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_57,plain,
( lesseq(X1,X2)
| ~ model_ub(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_46]) ).
cnf(c_0_58,negated_conjecture,
( model_ub(esk4_0,esk5_0,esk6_0)
| lesseq(esk4_0,esk5_0)
| lesseq(esk4_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_59,plain,
( lesseq(X1,X2)
| lesseq(X3,X1)
| ~ lesseq(X3,X2) ),
inference(spm,[status(thm)],[c_0_39,c_0_51]) ).
cnf(c_0_60,plain,
( lesseq(X1,X2)
| ~ model_max(X3,X1,X2)
| ~ lesseq(X3,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_52]) ).
cnf(c_0_61,plain,
( esk1_3(X1,X2,X3) = X3
| ~ model_ub(X1,X2,X3)
| ~ lesseq(X3,esk1_3(X1,X2,X3)) ),
inference(spm,[status(thm)],[c_0_53,c_0_33]) ).
cnf(c_0_62,plain,
( lesseq(X1,esk1_3(X1,X2,X3))
| ~ model_ub(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_54,c_0_35]) ).
cnf(c_0_63,plain,
( model_ub(X1,X1,X2)
| ~ model_ub(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_46]) ).
cnf(c_0_64,plain,
( model_ub(X1,X2,X3)
| ~ lesseq(X2,X3)
| ~ lesseq(X1,X3) ),
inference(spm,[status(thm)],[c_0_32,c_0_38]) ).
cnf(c_0_65,negated_conjecture,
( model_ub(esk4_0,esk5_0,esk6_0)
| lesseq(X1,max(esk4_0,esk5_0))
| ~ lesseq(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_56]) ).
cnf(c_0_66,negated_conjecture,
( lesseq(esk4_0,esk5_0)
| lesseq(esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]) ).
cnf(c_0_67,plain,
( lesseq(X1,max(X2,X1))
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_48]) ).
cnf(c_0_68,negated_conjecture,
( max(esk4_0,esk5_0) = esk6_0
| model_ub(esk4_0,esk5_0,esk6_0)
| ~ lesseq(max(esk4_0,esk5_0),esk6_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_56]) ).
cnf(c_0_69,plain,
( model_ub(X1,X2,X3)
| ~ model_ub(X1,X2,X4)
| ~ lesseq(esk1_3(X1,X2,X4),X3) ),
inference(spm,[status(thm)],[c_0_23,c_0_35]) ).
cnf(c_0_70,plain,
( esk1_3(X1,X2,X1) = X1
| ~ model_ub(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_71,plain,
( lesseq(X1,X2)
| ~ model_max(X3,X4,X2)
| ~ lesseq(X1,max(X3,X4)) ),
inference(spm,[status(thm)],[c_0_39,c_0_27]) ).
cnf(c_0_72,plain,
( model_ub(X1,X1,X2)
| ~ lesseq(X1,X2)
| ~ lesseq(X3,X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_73,negated_conjecture,
( model_ub(esk4_0,esk5_0,esk6_0)
| lesseq(esk5_0,max(esk4_0,esk5_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).
cnf(c_0_74,negated_conjecture,
( max(esk4_0,esk5_0) = esk6_0
| model_ub(esk4_0,esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_27]),c_0_41]) ).
cnf(c_0_75,plain,
( lesseq(X4,X3)
| ~ model_ub(X1,X2,X3)
| ~ minsol_model_ub(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_76,plain,
( model_ub(X1,X2,X3)
| ~ model_ub(X1,X2,X1)
| ~ lesseq(X1,X3) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_77,plain,
( lesseq(esk1_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_71,c_0_33]) ).
cnf(c_0_78,plain,
( esk1_3(X1,X2,X2) = X2
| ~ model_ub(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_46]) ).
cnf(c_0_79,plain,
( model_ub(X1,X1,X1)
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_38]) ).
cnf(c_0_80,negated_conjecture,
lesseq(esk5_0,esk6_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_57]) ).
cnf(c_0_81,plain,
( X1 = max(X2,X3)
| ~ model_max(X2,X3,X1)
| ~ lesseq(X1,max(X2,X3)) ),
inference(spm,[status(thm)],[c_0_53,c_0_27]) ).
cnf(c_0_82,negated_conjecture,
( minsol_model_max(esk4_0,esk5_0,esk6_0)
| lesseq(esk6_0,X1)
| ~ model_ub(esk4_0,esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_22]) ).
cnf(c_0_83,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_76,c_0_64]),c_0_38])]) ).
cnf(c_0_84,plain,
( model_ub(X1,X2,X3)
| ~ model_ub(X1,X2,max(X4,X5))
| ~ model_max(X4,X5,X3) ),
inference(spm,[status(thm)],[c_0_69,c_0_77]) ).
cnf(c_0_85,plain,
( model_ub(X1,X2,X2)
| ~ model_ub(X3,X2,X2)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_78]) ).
cnf(c_0_86,plain,
model_ub(X1,X1,X1),
inference(spm,[status(thm)],[c_0_79,c_0_38]) ).
cnf(c_0_87,negated_conjecture,
( lesseq(X1,esk6_0)
| ~ lesseq(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_80]) ).
cnf(c_0_88,plain,
( X1 = X2
| ~ model_max(X3,X2,X1)
| ~ lesseq(X1,X2)
| ~ lesseq(X3,X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_52]) ).
cnf(c_0_89,plain,
( model_max(X1,X2,X3)
| ~ lesseq(X1,X3)
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_28]) ).
cnf(c_0_90,negated_conjecture,
( lesseq(esk5_0,X1)
| lesseq(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_80]) ).
cnf(c_0_91,plain,
( lesseq(X1,X2)
| ~ model_ub(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_62]) ).
cnf(c_0_92,negated_conjecture,
( minsol_model_max(esk4_0,esk5_0,esk6_0)
| lesseq(esk6_0,X1)
| ~ lesseq(esk5_0,esk4_0)
| ~ lesseq(esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_93,plain,
( model_ub(X1,X2,X3)
| ~ model_ub(X1,X2,X4)
| ~ model_max(X5,X4,X3)
| ~ lesseq(X5,X4) ),
inference(spm,[status(thm)],[c_0_84,c_0_52]) ).
cnf(c_0_94,plain,
( model_ub(X1,X2,X2)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_95,negated_conjecture,
( model_max(X1,X2,esk6_0)
| ~ lesseq(max(X1,X2),esk5_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_87]) ).
cnf(c_0_96,plain,
( X1 = X2
| ~ lesseq(X1,X2)
| ~ lesseq(X3,X1)
| ~ lesseq(X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_39]) ).
cnf(c_0_97,negated_conjecture,
lesseq(esk4_0,esk6_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_90]),c_0_91]) ).
cnf(c_0_98,negated_conjecture,
( minsol_model_max(esk4_0,esk5_0,esk6_0)
| lesseq(esk4_0,esk5_0)
| lesseq(esk6_0,X1)
| ~ lesseq(esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_51]) ).
cnf(c_0_99,plain,
( lesseq(X1,max(X1,X2))
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_48]) ).
cnf(c_0_100,plain,
( model_ub(X1,X2,X3)
| ~ model_max(X4,X2,X3)
| ~ lesseq(X4,X2)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_101,negated_conjecture,
( model_max(X1,X2,esk6_0)
| ~ lesseq(X2,esk5_0)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_95,c_0_52]) ).
cnf(c_0_102,negated_conjecture,
( esk6_0 = esk4_0
| ~ lesseq(X1,esk4_0)
| ~ lesseq(esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_103,negated_conjecture,
( minsol_model_max(esk4_0,esk5_0,esk6_0)
| lesseq(esk6_0,max(esk4_0,X1))
| lesseq(esk4_0,esk5_0)
| ~ lesseq(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_104,plain,
( model_max(X1,X2,esk1_3(X3,max(X1,X2),X4))
| ~ model_ub(X3,max(X1,X2),X4) ),
inference(spm,[status(thm)],[c_0_37,c_0_46]) ).
cnf(c_0_105,negated_conjecture,
( model_ub(X1,X2,esk6_0)
| ~ lesseq(X2,esk5_0)
| ~ lesseq(X3,X2)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_106,plain,
( model_ub(X1,X2,X3)
| ~ model_ub(X2,X4,X3)
| ~ lesseq(X1,esk1_3(X2,X4,X3)) ),
inference(spm,[status(thm)],[c_0_45,c_0_62]) ).
cnf(c_0_107,negated_conjecture,
( esk6_0 = esk4_0
| ~ model_max(X1,X2,esk4_0)
| ~ lesseq(esk6_0,max(X1,X2)) ),
inference(spm,[status(thm)],[c_0_102,c_0_27]) ).
cnf(c_0_108,negated_conjecture,
( minsol_model_max(esk4_0,esk5_0,esk6_0)
| lesseq(esk6_0,max(esk4_0,esk4_0))
| lesseq(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_103,c_0_38]) ).
cnf(c_0_109,plain,
( model_max(X1,X2,X3)
| ~ model_ub(X3,max(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_104,c_0_70]) ).
cnf(c_0_110,negated_conjecture,
( model_ub(X1,esk5_0,esk6_0)
| ~ lesseq(X2,esk5_0)
| ~ lesseq(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_105,c_0_38]) ).
cnf(c_0_111,plain,
( model_max(X1,X2,X3)
| lesseq(X3,max(X1,X2)) ),
inference(spm,[status(thm)],[c_0_37,c_0_51]) ).
cnf(c_0_112,plain,
( lesseq(X1,esk1_3(X2,X3,X4))
| ~ model_ub(X2,X3,X4)
| ~ lesseq(X1,X3) ),
inference(spm,[status(thm)],[c_0_39,c_0_46]) ).
cnf(c_0_113,plain,
( model_ub(X1,X2,X3)
| ~ model_ub(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_106,c_0_46]) ).
cnf(c_0_114,plain,
( ub(X1,X2,X2)
| ~ model_ub(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_78]) ).
cnf(c_0_115,negated_conjecture,
( minsol_model_max(esk4_0,esk5_0,esk6_0)
| lesseq(esk6_0,esk4_0)
| lesseq(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_98,c_0_38]) ).
cnf(c_0_116,negated_conjecture,
( esk6_0 = esk4_0
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| lesseq(esk4_0,esk5_0)
| ~ model_max(esk4_0,esk4_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_117,plain,
( model_max(X1,X2,X3)
| ~ lesseq(X2,X3)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_52]) ).
cnf(c_0_118,plain,
( model_max(X1,X2,X3)
| ~ model_ub(X3,X2,X3)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_109,c_0_52]) ).
cnf(c_0_119,negated_conjecture,
( model_ub(X1,esk5_0,esk6_0)
| ~ lesseq(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_110,c_0_38]) ).
cnf(c_0_120,plain,
( model_max(X1,X2,X3)
| lesseq(X3,X2)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_111,c_0_52]) ).
cnf(c_0_121,negated_conjecture,
( lesseq(X1,esk6_0)
| ~ lesseq(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_97]) ).
cnf(c_0_122,plain,
( model_ub(X1,X2,X3)
| ~ model_ub(X2,X4,X3)
| ~ lesseq(X1,X4) ),
inference(spm,[status(thm)],[c_0_106,c_0_112]) ).
cnf(c_0_123,plain,
( model_ub(X1,X2,X1)
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_94]) ).
cnf(c_0_124,plain,
( model_ub(X1,X2,X3)
| ~ model_ub(X1,X2,X2)
| ~ lesseq(X2,X3) ),
inference(spm,[status(thm)],[c_0_23,c_0_114]) ).
cnf(c_0_125,negated_conjecture,
( lesseq(esk4_0,esk5_0)
| lesseq(esk6_0,esk4_0)
| lesseq(esk6_0,X1)
| ~ model_max(esk4_0,esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_115]) ).
cnf(c_0_126,plain,
( model_max(X1,X2,X1)
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_28]) ).
cnf(c_0_127,negated_conjecture,
( esk6_0 = esk4_0
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| lesseq(esk4_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_38])]) ).
cnf(c_0_128,negated_conjecture,
( model_max(X1,esk5_0,esk6_0)
| ~ lesseq(X1,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]) ).
cnf(c_0_129,negated_conjecture,
( model_max(X1,X2,esk6_0)
| ~ lesseq(max(X1,X2),esk4_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_121]) ).
cnf(c_0_130,plain,
( model_ub(X1,X2,X2)
| ~ lesseq(X1,X3)
| ~ lesseq(X3,X2) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_131,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_124,c_0_64]),c_0_38])]) ).
cnf(c_0_132,negated_conjecture,
( lesseq(esk6_0,esk4_0)
| lesseq(esk4_0,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_51]) ).
cnf(c_0_133,plain,
( model_max(X1,X2,esk2_3(X1,X2,X3))
| minsol_model_max(X1,X2,X3)
| ~ model_max(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_134,negated_conjecture,
( esk6_0 = esk4_0
| model_max(esk4_0,esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_127]),c_0_128]) ).
cnf(c_0_135,negated_conjecture,
( model_max(X1,X2,esk6_0)
| ~ lesseq(X2,esk4_0)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_129,c_0_52]) ).
cnf(c_0_136,plain,
( model_ub(X1,X2,X2)
| ~ lesseq(max(X1,X3),X2)
| ~ lesseq(X3,X1) ),
inference(spm,[status(thm)],[c_0_130,c_0_99]) ).
cnf(c_0_137,plain,
( model_max(X1,X2,X3)
| ~ model_ub(X3,X1,X3)
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_28]) ).
cnf(c_0_138,plain,
( model_max(X1,X2,X3)
| lesseq(X3,X1)
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_111,c_0_28]) ).
cnf(c_0_139,negated_conjecture,
( minsol_model_max(esk4_0,esk5_0,esk6_0)
| lesseq(esk6_0,X1)
| ~ lesseq(esk4_0,esk5_0)
| ~ lesseq(esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_82,c_0_131]) ).
cnf(c_0_140,negated_conjecture,
( esk6_0 = esk4_0
| lesseq(esk4_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_132]),c_0_97])]) ).
cnf(c_0_141,negated_conjecture,
( esk6_0 = esk4_0
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| model_max(esk4_0,esk5_0,esk2_3(esk4_0,esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_142,negated_conjecture,
( model_ub(X1,X2,esk6_0)
| ~ lesseq(X2,esk4_0)
| ~ lesseq(X3,X2)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_100,c_0_135]) ).
cnf(c_0_143,plain,
( model_ub(X1,X2,X2)
| ~ model_max(X1,X3,X2)
| ~ lesseq(X3,X1) ),
inference(spm,[status(thm)],[c_0_136,c_0_27]) ).
cnf(c_0_144,negated_conjecture,
( model_max(esk5_0,X1,esk6_0)
| ~ lesseq(X1,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_119]),c_0_138]) ).
cnf(c_0_145,negated_conjecture,
( esk6_0 = esk4_0
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| lesseq(esk6_0,X1)
| ~ lesseq(esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_146,negated_conjecture,
( esk6_0 = esk4_0
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| lesseq(esk5_0,esk2_3(esk4_0,esk5_0,esk6_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_141]),c_0_140]) ).
cnf(c_0_147,negated_conjecture,
( model_ub(X1,esk4_0,esk6_0)
| ~ lesseq(X2,esk4_0)
| ~ lesseq(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_142,c_0_38]) ).
cnf(c_0_148,negated_conjecture,
( model_ub(esk5_0,esk6_0,esk6_0)
| ~ lesseq(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_149,plain,
( minsol_model_max(X2,X3,X1)
| ~ lesseq(X1,esk2_3(X2,X3,X1))
| ~ model_max(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_150,negated_conjecture,
( esk6_0 = esk4_0
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| lesseq(esk6_0,esk2_3(esk4_0,esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_151,negated_conjecture,
( model_ub(X1,esk4_0,esk6_0)
| ~ lesseq(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_147,c_0_38]) ).
cnf(c_0_152,negated_conjecture,
model_ub(esk5_0,esk6_0,esk6_0),
inference(spm,[status(thm)],[c_0_148,c_0_38]) ).
cnf(c_0_153,negated_conjecture,
( esk6_0 = esk4_0
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_134]) ).
cnf(c_0_154,negated_conjecture,
( model_max(esk4_0,X1,esk6_0)
| ~ lesseq(X1,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_151]),c_0_138]) ).
cnf(c_0_155,plain,
( model_ub(X1,X2,esk3_3(X1,X2,X3))
| minsol_model_ub(X1,X2,X3)
| ~ model_ub(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_156,negated_conjecture,
model_ub(esk6_0,esk5_0,esk6_0),
inference(spm,[status(thm)],[c_0_113,c_0_152]) ).
cnf(c_0_157,negated_conjecture,
( esk6_0 = esk4_0
| lesseq(esk6_0,X1)
| ~ model_max(esk4_0,esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_153]) ).
cnf(c_0_158,plain,
( model_max(X1,X2,X2)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_52]) ).
cnf(c_0_159,negated_conjecture,
( model_ub(esk4_0,esk6_0,esk6_0)
| ~ lesseq(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_143,c_0_154]) ).
cnf(c_0_160,negated_conjecture,
( minsol_model_ub(esk6_0,esk5_0,esk6_0)
| model_ub(esk6_0,esk5_0,esk3_3(esk6_0,esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_161,negated_conjecture,
( esk6_0 = esk4_0
| lesseq(esk6_0,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_140]) ).
cnf(c_0_162,negated_conjecture,
model_ub(esk4_0,esk6_0,esk6_0),
inference(spm,[status(thm)],[c_0_159,c_0_38]) ).
cnf(c_0_163,plain,
( minsol_model_ub(X2,X3,X1)
| ~ lesseq(X1,esk3_3(X2,X3,X1))
| ~ model_ub(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_164,negated_conjecture,
( minsol_model_ub(esk6_0,esk5_0,esk6_0)
| lesseq(esk6_0,esk3_3(esk6_0,esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_91,c_0_160]) ).
cnf(c_0_165,negated_conjecture,
( esk6_0 = esk4_0
| esk6_0 = esk5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_161]),c_0_80])]) ).
cnf(c_0_166,negated_conjecture,
( minsol_model_ub(esk4_0,esk6_0,esk6_0)
| model_ub(esk4_0,esk6_0,esk3_3(esk4_0,esk6_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_155,c_0_162]) ).
cnf(c_0_167,negated_conjecture,
minsol_model_ub(esk6_0,esk5_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_156])]) ).
cnf(c_0_168,negated_conjecture,
( esk6_0 = esk4_0
| esk5_0 != esk4_0 ),
inference(ef,[status(thm)],[c_0_165]) ).
cnf(c_0_169,plain,
( minsol_model_max(X1,X2,max(X3,X4))
| ~ model_max(X3,X4,esk2_3(X1,X2,max(X3,X4)))
| ~ model_max(X1,X2,max(X3,X4)) ),
inference(spm,[status(thm)],[c_0_149,c_0_27]) ).
cnf(c_0_170,plain,
( minsol_model_max(X1,X2,max(X1,X2))
| model_max(X1,X2,esk2_3(X1,X2,max(X1,X2))) ),
inference(spm,[status(thm)],[c_0_133,c_0_48]) ).
cnf(c_0_171,negated_conjecture,
( minsol_model_ub(esk4_0,esk6_0,esk6_0)
| lesseq(esk6_0,esk3_3(esk4_0,esk6_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_57,c_0_166]) ).
cnf(c_0_172,negated_conjecture,
( ~ minsol_model_ub(esk4_0,esk5_0,esk6_0)
| ~ minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_173,negated_conjecture,
( minsol_model_ub(esk4_0,esk5_0,esk4_0)
| esk5_0 != esk4_0 ),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_174,plain,
minsol_model_max(X1,X2,max(X1,X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_48])]) ).
cnf(c_0_175,negated_conjecture,
minsol_model_ub(esk4_0,esk6_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_171]),c_0_162])]) ).
cnf(c_0_176,negated_conjecture,
( esk5_0 != esk4_0
| ~ minsol_model_max(esk4_0,esk5_0,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_168]),c_0_173]) ).
cnf(c_0_177,plain,
( minsol_model_max(X1,X2,X1)
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_174,c_0_28]) ).
cnf(c_0_178,negated_conjecture,
( lesseq(esk5_0,esk4_0)
| esk5_0 != esk4_0 ),
inference(spm,[status(thm)],[c_0_80,c_0_168]) ).
cnf(c_0_179,negated_conjecture,
( esk6_0 = esk4_0
| minsol_model_ub(esk4_0,esk5_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_175,c_0_165]) ).
cnf(c_0_180,negated_conjecture,
esk5_0 != esk4_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_178]) ).
cnf(c_0_181,negated_conjecture,
( esk6_0 = esk4_0
| ~ minsol_model_max(esk4_0,esk5_0,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_165]),c_0_179]) ).
cnf(c_0_182,negated_conjecture,
esk6_0 = esk4_0,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_165]),c_0_180]),c_0_181]) ).
cnf(c_0_183,negated_conjecture,
minsol_model_ub(esk4_0,esk5_0,esk4_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_182]),c_0_182]) ).
cnf(c_0_184,negated_conjecture,
~ minsol_model_max(esk4_0,esk5_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_172,c_0_182]),c_0_182]),c_0_183])]) ).
cnf(c_0_185,negated_conjecture,
lesseq(esk5_0,esk4_0),
inference(rw,[status(thm)],[c_0_80,c_0_182]) ).
cnf(c_0_186,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_177]),c_0_185])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM859+1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n016.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 01:16:51 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 4.25/3.25 % Version : CSE_E---1.7
% 4.25/3.25 % Problem : theBenchmark.p
% 4.25/3.25 % SZS status Theorem for theBenchmark.p
% 4.25/3.25 % SZS output start CNFRefutation
% See solution above
% 4.25/3.26 % Total time : 2.371s
%------------------------------------------------------------------------------