%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS102+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n001.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 04:36:21 PM UTC 2026
% Result : Unsatisfiable 6.91s 4.72s
% Output : CNFRefutation 6.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 31
% Syntax : Number of formulae : 218 ( 26 unt; 0 def)
% Number of atoms : 534 ( 461 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 470 ( 154 ~; 289 |; 18 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 18 con; 0-0 aty)
% Number of variables : 40 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_8,axiom,
! [X3] :
( cTorF(X3)
<=> ( X3 = iT
| X3 = iF ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(axiom_6,axiom,
! [X3] :
( cTorF(X3)
<=> ( X3 = iplus5
| X3 = iminus5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_9,axiom,
! [X3] :
( cTorF(X3)
<=> ( X3 = iplus8
| X3 = iminus8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(axiom_7,axiom,
! [X3] :
( cTorF(X3)
<=> ( X3 = iplus3
| X3 = iminus3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_77,axiom,
iT != iF,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_77) ).
fof(axiom_11,axiom,
! [X3] :
( cTorF(X3)
<=> ( X3 = iminus9
| X3 = iplus9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(axiom_5,axiom,
! [X3] :
( cTorF(X3)
<=> ( X3 = iplus7
| X3 = iminus7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_4,axiom,
! [X3] :
( cTorF(X3)
<=> ( X3 = iplus2
| X3 = iminus2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_3,axiom,
! [X3] :
( cTorF(X3)
<=> ( X3 = iminus4
| X3 = iplus4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_49,axiom,
( iT = iplus5
| iT = iminus8
| iT = iminus3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_49) ).
fof(axiom_45,axiom,
( iT = iminus5
| iT = iminus8
| iT = iminus3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_45) ).
fof(axiom_42,axiom,
( iT = iplus8
| iT = iplus2
| iT = iminus3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_42) ).
fof(axiom_18,axiom,
( iT = iplus3
| iT = iminus9
| iT = iplus4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(axiom_46,axiom,
( iT = iplus3
| iT = iplus9
| iT = iplus4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_46) ).
fof(axiom_50,axiom,
( iT = iminus5
| iT = iplus2
| iT = iminus7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_50) ).
fof(axiom_31,axiom,
( iT = iplus8
| iT = iplus2
| iT = iminus4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_31) ).
fof(axiom_40,axiom,
( iT = iminus8
| iT = iminus9
| iT = iminus4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_40) ).
fof(axiom_21,axiom,
( iT = iminus8
| iT = iminus4
| iT = iplus9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
fof(axiom_10,axiom,
! [X3] :
( cTorF(X3)
<=> ( X3 = iminus6
| X3 = iplus6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(axiom_22,axiom,
( iT = iplus3
| iT = iplus6
| iT = iplus4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
fof(axiom_39,axiom,
( iT = iplus3
| iT = iplus6
| iT = iminus4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_39) ).
fof(axiom_24,axiom,
( iT = iplus3
| iT = iminus8
| iT = iminus2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
fof(axiom_15,axiom,
( iT = iplus8
| iT = iminus3
| iT = iplus7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
fof(axiom_14,axiom,
( iT = iminus6
| iT = iplus9
| iT = iminus7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(axiom_51,axiom,
( iT = iplus6
| iT = iminus2
| iT = iplus9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_51) ).
fof(axiom_48,axiom,
( iT = iminus9
| iT = iminus2
| iT = iplus7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_48) ).
fof(axiom_58,axiom,
( iT = iminus4
| iT = iplus7
| iT = iplus9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_58) ).
fof(axiom_56,axiom,
( iT = iminus6
| iT = iminus2
| iT = iplus4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_56) ).
fof(axiom_27,axiom,
( iT = iplus6
| iT = iminus2
| iT = iminus7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).
fof(axiom_26,axiom,
( iT = iplus3
| iT = iminus9
| iT = iminus2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).
fof(axiom_36,axiom,
( iT = iminus4
| iT = iminus3
| iT = iminus7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).
fof(c_0_31,plain,
! [X44] :
( ( ~ cTorF(X44)
| X44 = iT
| X44 = iF )
& ( X44 != iT
| cTorF(X44) )
& ( X44 != iF
| cTorF(X44) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_8])])]) ).
fof(c_0_32,plain,
! [X42] :
( ( ~ cTorF(X42)
| X42 = iplus5
| X42 = iminus5 )
& ( X42 != iplus5
| cTorF(X42) )
& ( X42 != iminus5
| cTorF(X42) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])])]) ).
cnf(c_0_33,plain,
( cTorF(X1)
| X1 != iF ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_34,plain,
! [X45] :
( ( ~ cTorF(X45)
| X45 = iplus8
| X45 = iminus8 )
& ( X45 != iplus8
| cTorF(X45) )
& ( X45 != iminus8
| cTorF(X45) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_9])])]) ).
cnf(c_0_35,plain,
( X1 = iplus5
| X1 = iminus5
| ~ cTorF(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_36,plain,
cTorF(iF),
inference(er,[status(thm)],[c_0_33]) ).
fof(c_0_37,plain,
! [X43] :
( ( ~ cTorF(X43)
| X43 = iplus3
| X43 = iminus3 )
& ( X43 != iplus3
| cTorF(X43) )
& ( X43 != iminus3
| cTorF(X43) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])])]) ).
cnf(c_0_38,plain,
( X1 = iplus8
| X1 = iminus8
| ~ cTorF(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_39,plain,
iT != iF,
inference(split_conjunct,[status(thm)],[axiom_77]) ).
cnf(c_0_40,plain,
( iF = iminus5
| iF = iplus5 ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
fof(c_0_41,plain,
! [X47] :
( ( ~ cTorF(X47)
| X47 = iminus9
| X47 = iplus9 )
& ( X47 != iminus9
| cTorF(X47) )
& ( X47 != iplus9
| cTorF(X47) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_11])])]) ).
fof(c_0_42,plain,
! [X41] :
( ( ~ cTorF(X41)
| X41 = iplus7
| X41 = iminus7 )
& ( X41 != iplus7
| cTorF(X41) )
& ( X41 != iminus7
| cTorF(X41) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])]) ).
fof(c_0_43,plain,
! [X40] :
( ( ~ cTorF(X40)
| X40 = iplus2
| X40 = iminus2 )
& ( X40 != iplus2
| cTorF(X40) )
& ( X40 != iminus2
| cTorF(X40) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])])]) ).
cnf(c_0_44,plain,
( X1 = iplus3
| X1 = iminus3
| ~ cTorF(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_45,plain,
( iF = iminus8
| iF = iplus8 ),
inference(spm,[status(thm)],[c_0_38,c_0_36]) ).
cnf(c_0_46,plain,
( iF = iminus5
| iplus5 != iT ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_47,plain,
( X1 = iminus9
| X1 = iplus9
| ~ cTorF(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_48,plain,
! [X39] :
( ( ~ cTorF(X39)
| X39 = iminus4
| X39 = iplus4 )
& ( X39 != iminus4
| cTorF(X39) )
& ( X39 != iplus4
| cTorF(X39) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])]) ).
cnf(c_0_49,plain,
( cTorF(X1)
| X1 != iplus5 ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_50,plain,
( cTorF(X1)
| X1 != iminus5 ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_51,plain,
( X1 = iplus7
| X1 = iminus7
| ~ cTorF(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_52,plain,
( cTorF(X1)
| X1 != iplus7 ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_53,plain,
( cTorF(X1)
| X1 != iminus7 ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_54,plain,
( X1 = iplus2
| X1 = iminus2
| ~ cTorF(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_55,plain,
( iF = iminus3
| iF = iplus3 ),
inference(spm,[status(thm)],[c_0_44,c_0_36]) ).
cnf(c_0_56,plain,
( iF = iminus8
| iplus8 != iT ),
inference(spm,[status(thm)],[c_0_39,c_0_45]) ).
cnf(c_0_57,plain,
( iminus5 != iT
| iplus5 != iT ),
inference(spm,[status(thm)],[c_0_39,c_0_46]) ).
cnf(c_0_58,plain,
( iT = iplus5
| iT = iminus8
| iT = iminus3 ),
inference(split_conjunct,[status(thm)],[axiom_49]) ).
cnf(c_0_59,plain,
( iT = iminus5
| iT = iminus8
| iT = iminus3 ),
inference(split_conjunct,[status(thm)],[axiom_45]) ).
cnf(c_0_60,plain,
( iF = iplus9
| iF = iminus9 ),
inference(spm,[status(thm)],[c_0_47,c_0_36]) ).
cnf(c_0_61,plain,
( X1 = iminus4
| X1 = iplus4
| ~ cTorF(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_62,plain,
cTorF(iplus5),
inference(er,[status(thm)],[c_0_49]) ).
cnf(c_0_63,plain,
cTorF(iminus5),
inference(er,[status(thm)],[c_0_50]) ).
cnf(c_0_64,plain,
( iF = iminus7
| iF = iplus7 ),
inference(spm,[status(thm)],[c_0_51,c_0_36]) ).
cnf(c_0_65,plain,
cTorF(iplus7),
inference(er,[status(thm)],[c_0_52]) ).
cnf(c_0_66,plain,
cTorF(iminus7),
inference(er,[status(thm)],[c_0_53]) ).
cnf(c_0_67,plain,
( cTorF(X1)
| X1 != iplus8 ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_68,plain,
( iF = iminus2
| iF = iplus2 ),
inference(spm,[status(thm)],[c_0_54,c_0_36]) ).
cnf(c_0_69,plain,
( iF = iplus3
| iminus3 != iT ),
inference(spm,[status(thm)],[c_0_39,c_0_55]) ).
cnf(c_0_70,plain,
( iminus8 != iT
| iplus8 != iT ),
inference(spm,[status(thm)],[c_0_39,c_0_56]) ).
cnf(c_0_71,plain,
( iT = iplus8
| iT = iplus2
| iT = iminus3 ),
inference(split_conjunct,[status(thm)],[axiom_42]) ).
cnf(c_0_72,plain,
( iminus8 = iT
| iminus3 = iT ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]) ).
cnf(c_0_73,plain,
( cTorF(X1)
| X1 != iplus3 ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_74,plain,
( cTorF(X1)
| X1 != iminus4 ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_75,plain,
( iF = iplus9
| iminus9 != iT ),
inference(spm,[status(thm)],[c_0_39,c_0_60]) ).
cnf(c_0_76,plain,
( cTorF(X1)
| X1 != iplus2 ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_77,plain,
( iF = iminus5
| iplus5 != iminus5 ),
inference(ef,[status(thm)],[c_0_40]) ).
cnf(c_0_78,plain,
( iplus5 = iplus4
| iplus5 = iminus4 ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_79,plain,
( iminus5 = iplus4
| iminus5 = iminus4 ),
inference(spm,[status(thm)],[c_0_61,c_0_63]) ).
cnf(c_0_80,plain,
( iF = iminus7
| iplus7 != iminus7 ),
inference(ef,[status(thm)],[c_0_64]) ).
cnf(c_0_81,plain,
( iplus7 = iplus4
| iplus7 = iminus4 ),
inference(spm,[status(thm)],[c_0_61,c_0_65]) ).
cnf(c_0_82,plain,
( iminus7 = iplus4
| iminus7 = iminus4 ),
inference(spm,[status(thm)],[c_0_61,c_0_66]) ).
cnf(c_0_83,plain,
( iF = iminus8
| iplus8 != iminus8 ),
inference(ef,[status(thm)],[c_0_45]) ).
cnf(c_0_84,plain,
cTorF(iplus8),
inference(er,[status(thm)],[c_0_67]) ).
cnf(c_0_85,plain,
( cTorF(X1)
| X1 != iplus4 ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_86,plain,
( iF = iminus2
| iplus2 != iT ),
inference(spm,[status(thm)],[c_0_39,c_0_68]) ).
cnf(c_0_87,plain,
( iplus3 != iT
| iminus3 != iT ),
inference(spm,[status(thm)],[c_0_39,c_0_69]) ).
cnf(c_0_88,plain,
( iminus3 = iT
| iplus2 = iT ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]) ).
cnf(c_0_89,plain,
cTorF(iplus3),
inference(er,[status(thm)],[c_0_73]) ).
cnf(c_0_90,plain,
cTorF(iminus4),
inference(er,[status(thm)],[c_0_74]) ).
cnf(c_0_91,plain,
( iplus9 != iT
| iminus9 != iT ),
inference(spm,[status(thm)],[c_0_39,c_0_75]) ).
cnf(c_0_92,plain,
( iT = iplus3
| iT = iminus9
| iT = iplus4 ),
inference(split_conjunct,[status(thm)],[axiom_18]) ).
cnf(c_0_93,plain,
( iT = iplus3
| iT = iplus9
| iT = iplus4 ),
inference(split_conjunct,[status(thm)],[axiom_46]) ).
cnf(c_0_94,plain,
cTorF(iplus2),
inference(er,[status(thm)],[c_0_76]) ).
cnf(c_0_95,plain,
( iminus5 != iT
| iplus5 != iminus5 ),
inference(spm,[status(thm)],[c_0_39,c_0_77]) ).
cnf(c_0_96,plain,
( iplus5 = iminus4
| iplus4 != iminus4 ),
inference(ef,[status(thm)],[c_0_78]) ).
cnf(c_0_97,plain,
( iminus5 = iminus4
| iplus4 != iminus4 ),
inference(ef,[status(thm)],[c_0_79]) ).
cnf(c_0_98,plain,
( iminus7 != iT
| iplus7 != iminus7 ),
inference(spm,[status(thm)],[c_0_39,c_0_80]) ).
cnf(c_0_99,plain,
( iplus7 = iminus4
| iplus4 != iminus4 ),
inference(ef,[status(thm)],[c_0_81]) ).
cnf(c_0_100,plain,
( iminus7 = iminus4
| iplus4 != iminus4 ),
inference(ef,[status(thm)],[c_0_82]) ).
cnf(c_0_101,plain,
( iF = iplus4
| iF = iminus4 ),
inference(spm,[status(thm)],[c_0_61,c_0_36]) ).
cnf(c_0_102,plain,
( iminus8 != iT
| iplus8 != iminus8 ),
inference(spm,[status(thm)],[c_0_39,c_0_83]) ).
cnf(c_0_103,plain,
( iplus8 = iminus3
| iplus8 = iplus3 ),
inference(spm,[status(thm)],[c_0_44,c_0_84]) ).
cnf(c_0_104,plain,
cTorF(iplus4),
inference(er,[status(thm)],[c_0_85]) ).
cnf(c_0_105,plain,
( iminus2 != iT
| iplus2 != iT ),
inference(spm,[status(thm)],[c_0_39,c_0_86]) ).
cnf(c_0_106,plain,
( iplus2 = iT
| iplus3 != iT ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_107,plain,
( iminus2 = iplus3
| iplus2 = iplus3 ),
inference(spm,[status(thm)],[c_0_54,c_0_89]) ).
cnf(c_0_108,plain,
( iminus2 = iminus4
| iplus2 = iminus4 ),
inference(spm,[status(thm)],[c_0_54,c_0_90]) ).
cnf(c_0_109,plain,
( iplus4 = iplus3
| iplus3 = iminus4 ),
inference(spm,[status(thm)],[c_0_61,c_0_89]) ).
cnf(c_0_110,plain,
( iplus3 = iT
| iplus4 = iT ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]) ).
cnf(c_0_111,plain,
( iplus2 = iplus4
| iplus2 = iminus4 ),
inference(spm,[status(thm)],[c_0_61,c_0_94]) ).
cnf(c_0_112,plain,
( iminus5 != iT
| iplus4 != iminus4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]) ).
cnf(c_0_113,plain,
( iT = iminus5
| iT = iplus2
| iT = iminus7 ),
inference(split_conjunct,[status(thm)],[axiom_50]) ).
cnf(c_0_114,plain,
( iminus7 != iT
| iplus4 != iminus4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]) ).
cnf(c_0_115,plain,
( iF = iminus4
| iplus4 != iminus4 ),
inference(ef,[status(thm)],[c_0_101]) ).
cnf(c_0_116,plain,
( iplus8 = iplus3
| iminus8 != iT
| iminus3 != iminus8 ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_117,plain,
( iminus8 = iT
| iplus3 != iT ),
inference(spm,[status(thm)],[c_0_87,c_0_72]) ).
cnf(c_0_118,plain,
( cTorF(X1)
| X1 != iminus8 ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_119,plain,
( iminus2 = iplus4
| iplus2 = iplus4 ),
inference(spm,[status(thm)],[c_0_54,c_0_104]) ).
cnf(c_0_120,plain,
( iminus2 != iT
| iplus3 != iT ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_121,plain,
( iminus2 = iminus4
| iplus3 = iminus4
| iminus2 = iplus3 ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_122,plain,
( iplus3 = iminus4
| iplus3 = iT ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_123,plain,
( iplus2 = iminus4
| iplus4 != iminus4 ),
inference(ef,[status(thm)],[c_0_111]) ).
cnf(c_0_124,plain,
( iplus2 = iT
| iplus4 != iminus4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114]) ).
cnf(c_0_125,plain,
( iminus4 != iT
| iplus4 != iminus4 ),
inference(spm,[status(thm)],[c_0_39,c_0_115]) ).
cnf(c_0_126,plain,
( iF = iminus4
| iplus4 != iT ),
inference(spm,[status(thm)],[c_0_39,c_0_101]) ).
cnf(c_0_127,plain,
( iplus8 = iplus3
| iminus8 != iT
| iminus3 != iT ),
inference(spm,[status(thm)],[c_0_70,c_0_103]) ).
cnf(c_0_128,plain,
( iplus3 != iT
| iminus3 != iminus8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_116]),c_0_117]) ).
cnf(c_0_129,plain,
( iminus3 = iplus4
| iplus4 = iplus3 ),
inference(spm,[status(thm)],[c_0_44,c_0_104]) ).
cnf(c_0_130,plain,
cTorF(iminus8),
inference(er,[status(thm)],[c_0_118]) ).
cnf(c_0_131,plain,
( iplus4 = iT
| iminus2 = iplus4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_106]),c_0_110]) ).
cnf(c_0_132,plain,
( iplus3 = iminus4
| iminus2 = iminus4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122]) ).
cnf(c_0_133,plain,
iplus4 != iminus4,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_125]) ).
cnf(c_0_134,plain,
( iplus3 = iminus4
| iplus4 != iT
| iminus3 != iT ),
inference(spm,[status(thm)],[c_0_126,c_0_69]) ).
cnf(c_0_135,plain,
( iT = iplus8
| iT = iplus2
| iT = iminus4 ),
inference(split_conjunct,[status(thm)],[axiom_31]) ).
cnf(c_0_136,plain,
( iT = iminus8
| iT = iminus9
| iT = iminus4 ),
inference(split_conjunct,[status(thm)],[axiom_40]) ).
cnf(c_0_137,plain,
( iT = iminus8
| iT = iminus4
| iT = iplus9 ),
inference(split_conjunct,[status(thm)],[axiom_21]) ).
cnf(c_0_138,plain,
( iminus8 != iT
| iminus8 != iplus3
| iminus3 != iT ),
inference(spm,[status(thm)],[c_0_102,c_0_127]) ).
cnf(c_0_139,plain,
( iplus4 = iplus3
| iplus3 != iT
| iminus8 != iplus4 ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_140,plain,
( iminus8 = iplus4
| iminus8 = iminus4 ),
inference(spm,[status(thm)],[c_0_61,c_0_130]) ).
cnf(c_0_141,plain,
( iminus4 != iT
| iplus4 != iT ),
inference(spm,[status(thm)],[c_0_39,c_0_126]) ).
cnf(c_0_142,plain,
( iplus3 = iminus4
| iplus4 = iT ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_133]) ).
cnf(c_0_143,plain,
( iplus2 = iT
| iplus3 = iminus4
| iplus4 != iT ),
inference(spm,[status(thm)],[c_0_134,c_0_88]) ).
cnf(c_0_144,plain,
( iplus2 = iT
| iminus4 = iT
| iminus8 != iT ),
inference(spm,[status(thm)],[c_0_70,c_0_135]) ).
cnf(c_0_145,plain,
( iminus8 = iT
| iminus4 = iT ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_136]),c_0_137]) ).
fof(c_0_146,plain,
! [X46] :
( ( ~ cTorF(X46)
| X46 = iminus6
| X46 = iplus6 )
& ( X46 != iminus6
| cTorF(X46) )
& ( X46 != iplus6
| cTorF(X46) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_10])])]) ).
cnf(c_0_147,plain,
( iplus2 = iT
| iminus8 != iT
| iminus8 != iplus3 ),
inference(spm,[status(thm)],[c_0_138,c_0_88]) ).
cnf(c_0_148,plain,
( iminus8 = iminus4
| iplus4 = iplus3
| iplus3 != iT ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_149,plain,
( iplus3 = iminus4
| iminus4 != iT ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_150,plain,
( iplus3 = iminus4
| iplus2 = iT ),
inference(spm,[status(thm)],[c_0_143,c_0_142]) ).
cnf(c_0_151,plain,
( iminus4 = iT
| iplus2 = iT ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_152,plain,
( X1 = iminus6
| X1 = iplus6
| ~ cTorF(X1) ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_153,plain,
( cTorF(X1)
| X1 != iplus6 ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_154,plain,
( cTorF(X1)
| X1 != iminus2 ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_155,plain,
( iminus2 != iT
| iminus8 != iT
| iminus8 != iplus3 ),
inference(spm,[status(thm)],[c_0_105,c_0_147]) ).
cnf(c_0_156,plain,
( iminus8 = iminus4
| iminus4 != iT ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_133]) ).
cnf(c_0_157,plain,
( iplus3 = iminus4
| iminus2 != iT ),
inference(spm,[status(thm)],[c_0_105,c_0_150]) ).
cnf(c_0_158,plain,
( iminus4 = iT
| iminus2 != iT ),
inference(spm,[status(thm)],[c_0_105,c_0_151]) ).
cnf(c_0_159,plain,
( iF = iplus6
| iF = iminus6 ),
inference(spm,[status(thm)],[c_0_152,c_0_36]) ).
cnf(c_0_160,plain,
cTorF(iplus6),
inference(er,[status(thm)],[c_0_153]) ).
cnf(c_0_161,plain,
( iT = iplus3
| iT = iplus6
| iT = iplus4 ),
inference(split_conjunct,[status(thm)],[axiom_22]) ).
cnf(c_0_162,plain,
( iT = iplus3
| iT = iplus6
| iT = iminus4 ),
inference(split_conjunct,[status(thm)],[axiom_39]) ).
cnf(c_0_163,plain,
cTorF(iminus2),
inference(er,[status(thm)],[c_0_154]) ).
cnf(c_0_164,plain,
( iT = iplus3
| iT = iminus8
| iT = iminus2 ),
inference(split_conjunct,[status(thm)],[axiom_24]) ).
cnf(c_0_165,plain,
iminus2 != iT,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157]),c_0_158]) ).
cnf(c_0_166,plain,
( iF = iplus6
| iminus6 != iT ),
inference(spm,[status(thm)],[c_0_39,c_0_159]) ).
cnf(c_0_167,plain,
( iminus2 = iplus6
| iplus2 = iplus6 ),
inference(spm,[status(thm)],[c_0_54,c_0_160]) ).
cnf(c_0_168,plain,
( iplus6 = iT
| iplus3 = iT ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_161]),c_0_162]) ).
cnf(c_0_169,plain,
( iT = iplus8
| iT = iminus3
| iT = iplus7 ),
inference(split_conjunct,[status(thm)],[axiom_15]) ).
cnf(c_0_170,plain,
( iminus8 = iminus2
| iplus8 = iminus2 ),
inference(spm,[status(thm)],[c_0_38,c_0_163]) ).
cnf(c_0_171,plain,
iminus8 = iT,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_164,c_0_165]),c_0_117]) ).
cnf(c_0_172,plain,
( iplus6 != iT
| iminus6 != iT ),
inference(spm,[status(thm)],[c_0_39,c_0_166]) ).
cnf(c_0_173,plain,
( iT = iminus6
| iT = iplus9
| iT = iminus7 ),
inference(split_conjunct,[status(thm)],[axiom_14]) ).
cnf(c_0_174,plain,
( iT = iplus6
| iT = iminus2
| iT = iplus9 ),
inference(split_conjunct,[status(thm)],[axiom_51]) ).
cnf(c_0_175,plain,
( iplus6 = iT
| iminus2 = iplus6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_106]),c_0_168]) ).
cnf(c_0_176,plain,
( cTorF(X1)
| X1 != iminus6 ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_177,plain,
( iplus7 = iplus9
| iplus7 = iminus9 ),
inference(spm,[status(thm)],[c_0_47,c_0_65]) ).
cnf(c_0_178,plain,
( iT = iminus9
| iT = iminus2
| iT = iplus7 ),
inference(split_conjunct,[status(thm)],[axiom_48]) ).
cnf(c_0_179,plain,
( iplus8 = iT
| iminus3 = iT
| iminus7 != iT ),
inference(spm,[status(thm)],[c_0_98,c_0_169]) ).
cnf(c_0_180,plain,
iplus8 = iminus2,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_171]),c_0_165]) ).
cnf(c_0_181,plain,
( iT = iminus4
| iT = iplus7
| iT = iplus9 ),
inference(split_conjunct,[status(thm)],[axiom_58]) ).
cnf(c_0_182,plain,
( iminus7 = iplus3
| iplus7 = iplus3 ),
inference(spm,[status(thm)],[c_0_51,c_0_89]) ).
cnf(c_0_183,plain,
( iplus3 = iT
| iminus4 != iT ),
inference(spm,[status(thm)],[c_0_141,c_0_110]) ).
cnf(c_0_184,plain,
( iplus9 = iT
| iminus7 = iT
| iplus6 != iT ),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_185,plain,
( iplus9 = iT
| iplus6 = iT ),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_186,plain,
cTorF(iminus6),
inference(er,[status(thm)],[c_0_176]) ).
cnf(c_0_187,plain,
( iplus7 = iplus9
| iminus7 != iT
| iminus9 != iminus7 ),
inference(spm,[status(thm)],[c_0_98,c_0_177]) ).
cnf(c_0_188,plain,
( iminus9 = iT
| iplus7 = iT ),
inference(sr,[status(thm)],[c_0_178,c_0_165]) ).
cnf(c_0_189,plain,
( iminus3 = iT
| iminus7 != iT ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_179,c_0_180]),c_0_165]) ).
cnf(c_0_190,plain,
( iminus7 = iplus3
| iplus9 = iT
| iplus3 = iT ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_183]) ).
cnf(c_0_191,plain,
( iminus7 = iT
| iplus9 = iT ),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_192,plain,
( iF = iplus6
| iminus6 != iplus6 ),
inference(ef,[status(thm)],[c_0_159]) ).
cnf(c_0_193,plain,
( iminus6 = iplus4
| iminus6 = iminus4 ),
inference(spm,[status(thm)],[c_0_61,c_0_186]) ).
cnf(c_0_194,plain,
( iT = iminus6
| iT = iminus2
| iT = iplus4 ),
inference(split_conjunct,[status(thm)],[axiom_56]) ).
cnf(c_0_195,plain,
( iminus7 != iT
| iminus7 != iplus9
| iminus9 != iminus7 ),
inference(spm,[status(thm)],[c_0_98,c_0_187]) ).
cnf(c_0_196,plain,
( iminus9 = iT
| iminus7 != iT ),
inference(spm,[status(thm)],[c_0_98,c_0_188]) ).
cnf(c_0_197,plain,
( iplus3 != iT
| iminus7 != iT ),
inference(spm,[status(thm)],[c_0_87,c_0_189]) ).
cnf(c_0_198,plain,
( iplus9 = iT
| iplus3 = iT ),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_199,plain,
( iplus6 != iT
| iminus6 != iplus6 ),
inference(spm,[status(thm)],[c_0_39,c_0_192]) ).
cnf(c_0_200,plain,
( iminus6 = iminus4
| iplus6 != iT
| iplus4 != iT ),
inference(spm,[status(thm)],[c_0_172,c_0_193]) ).
cnf(c_0_201,plain,
( iminus6 = iT
| iplus4 = iT ),
inference(sr,[status(thm)],[c_0_194,c_0_165]) ).
cnf(c_0_202,plain,
( iT = iplus6
| iT = iminus2
| iT = iminus7 ),
inference(split_conjunct,[status(thm)],[axiom_27]) ).
cnf(c_0_203,plain,
( iminus7 != iT
| iminus7 != iplus9 ),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_204,plain,
iplus9 = iT,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_191]),c_0_198]) ).
cnf(c_0_205,plain,
( iT = iplus3
| iT = iminus9
| iT = iminus2 ),
inference(split_conjunct,[status(thm)],[axiom_26]) ).
cnf(c_0_206,plain,
( iplus6 != iT
| iplus6 != iminus4
| iplus4 != iT ),
inference(spm,[status(thm)],[c_0_199,c_0_200]) ).
cnf(c_0_207,plain,
( iplus4 = iT
| iplus6 != iT ),
inference(spm,[status(thm)],[c_0_172,c_0_201]) ).
cnf(c_0_208,plain,
( iplus6 = iT
| iminus7 = iT ),
inference(sr,[status(thm)],[c_0_202,c_0_165]) ).
cnf(c_0_209,plain,
iminus7 != iT,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_203,c_0_204])]) ).
cnf(c_0_210,plain,
( iT = iminus4
| iT = iminus3
| iT = iminus7 ),
inference(split_conjunct,[status(thm)],[axiom_36]) ).
cnf(c_0_211,plain,
( iplus3 = iT
| iminus2 = iT
| iplus9 != iT ),
inference(spm,[status(thm)],[c_0_91,c_0_205]) ).
cnf(c_0_212,plain,
( iplus6 != iT
| iplus6 != iminus4 ),
inference(spm,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_213,plain,
iplus6 = iT,
inference(sr,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_214,plain,
( iminus7 = iT
| iminus4 = iT
| iplus3 != iT ),
inference(spm,[status(thm)],[c_0_87,c_0_210]) ).
cnf(c_0_215,plain,
iplus3 = iT,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_211,c_0_204])]),c_0_165]) ).
cnf(c_0_216,plain,
iminus4 != iT,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_213]),c_0_213])]) ).
cnf(c_0_217,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_214,c_0_215])]),c_0_209]),c_0_216]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS102+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.18/0.33 % Computer : n001.cluster.edu
% 0.18/0.33 % Model : x86_64 x86_64
% 0.18/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.33 % Memory : 8042.1875MB
% 0.18/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.33 % CPULimit : 300
% 0.18/0.33 % WCLimit : 300
% 0.18/0.33 % DateTime : Mon May 4 20:38:03 EDT 2026
% 0.18/0.34 % CPUTime :
% 0.18/0.35 % start to proof: theBenchmark
% 6.91/4.72 % Version : CSE_E---1.7
% 6.91/4.72 % Problem : theBenchmark.p
% 6.91/4.72 % SZS status Unsatisfiable for theBenchmark.p
% 6.91/4.72 % SZS output start CNFRefutation
% See solution above
% 6.91/4.75 % Total time : 3.369s
%------------------------------------------------------------------------------