TSTP Solution File: KRS102+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : KRS102+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n008.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 : Thu Aug 31 05:40:15 EDT 2023
% Result : Unsatisfiable 1.17s 1.27s
% Output : CNFRefutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 57
% Syntax : Number of formulae : 263 ( 30 unt; 25 typ; 0 def)
% Number of atoms : 588 ( 506 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 542 ( 192 ~; 320 |; 20 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 20 con; 0-0 aty)
% Number of variables : 45 ( 0 sgn; 20 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
cTorF: $i > $o ).
tff(decl_23,type,
cowlNothing: $i > $o ).
tff(decl_24,type,
cowlThing: $i > $o ).
tff(decl_25,type,
xsd_integer: $i > $o ).
tff(decl_26,type,
xsd_string: $i > $o ).
tff(decl_27,type,
iplus1: $i ).
tff(decl_28,type,
iminus1: $i ).
tff(decl_29,type,
iminus4: $i ).
tff(decl_30,type,
iplus4: $i ).
tff(decl_31,type,
iplus2: $i ).
tff(decl_32,type,
iminus2: $i ).
tff(decl_33,type,
iplus7: $i ).
tff(decl_34,type,
iminus7: $i ).
tff(decl_35,type,
iplus5: $i ).
tff(decl_36,type,
iminus5: $i ).
tff(decl_37,type,
iplus3: $i ).
tff(decl_38,type,
iminus3: $i ).
tff(decl_39,type,
iT: $i ).
tff(decl_40,type,
iF: $i ).
tff(decl_41,type,
iplus8: $i ).
tff(decl_42,type,
iminus8: $i ).
tff(decl_43,type,
iminus6: $i ).
tff(decl_44,type,
iplus6: $i ).
tff(decl_45,type,
iminus9: $i ).
tff(decl_46,type,
iplus9: $i ).
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_5,axiom,
! [X3] :
( cTorF(X3)
<=> ( X3 = iplus7
| X3 = iminus7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
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_10,axiom,
! [X3] :
( cTorF(X3)
<=> ( X3 = iminus6
| X3 = iplus6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(axiom_2,axiom,
! [X3] :
( cTorF(X3)
<=> ( X3 = iplus1
| X3 = iminus1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_4,axiom,
! [X3] :
( cTorF(X3)
<=> ( X3 = iplus2
| X3 = iminus2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_11,axiom,
! [X3] :
( cTorF(X3)
<=> ( X3 = iminus9
| X3 = iplus9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
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_3,axiom,
! [X3] :
( cTorF(X3)
<=> ( X3 = iminus4
| X3 = iplus4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_42,axiom,
( iT = iplus8
| iT = iplus2
| iT = iminus3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_42) ).
fof(axiom_37,axiom,
( iT = iplus2
| iT = iplus4
| iT = iminus1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
fof(axiom_19,axiom,
( iT = iminus9
| iT = iminus6
| iT = iplus1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(axiom_17,axiom,
( iT = iminus6
| iT = iplus1
| iT = iplus9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(axiom_38,axiom,
( iT = iminus2
| iT = iplus1
| iT = iminus3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_38) ).
fof(axiom_56,axiom,
( iT = iminus6
| iT = iminus2
| iT = iplus4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_56) ).
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_15,axiom,
( iT = iplus8
| iT = iminus3
| iT = iplus7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
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_36,axiom,
( iT = iminus4
| iT = iminus3
| iT = iminus7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).
fof(axiom_28,axiom,
( iT = iplus6
| iT = iminus4
| iT = iminus3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
fof(axiom_16,axiom,
( iT = iplus5
| iT = iplus9
| iT = iminus7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
fof(axiom_31,axiom,
( iT = iplus8
| iT = iplus2
| iT = iminus4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_31) ).
fof(axiom_26,axiom,
( iT = iplus3
| iT = iminus9
| iT = iminus2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).
fof(axiom_27,axiom,
( iT = iplus6
| iT = iminus2
| iT = iminus7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).
fof(axiom_58,axiom,
( iT = iminus4
| iT = iplus7
| iT = iplus9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_58) ).
fof(axiom_14,axiom,
( iT = iminus6
| iT = iplus9
| iT = iminus7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(c_0_32,plain,
! [X22] :
( ( ~ cTorF(X22)
| X22 = iT
| X22 = iF )
& ( X22 != iT
| cTorF(X22) )
& ( X22 != iF
| cTorF(X22) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_8])])]) ).
fof(c_0_33,plain,
! [X20] :
( ( ~ cTorF(X20)
| X20 = iplus5
| X20 = iminus5 )
& ( X20 != iplus5
| cTorF(X20) )
& ( X20 != iminus5
| cTorF(X20) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])])]) ).
cnf(c_0_34,plain,
( cTorF(X1)
| X1 != iF ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_35,plain,
! [X23] :
( ( ~ cTorF(X23)
| X23 = iplus8
| X23 = iminus8 )
& ( X23 != iplus8
| cTorF(X23) )
& ( X23 != iminus8
| cTorF(X23) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_9])])]) ).
cnf(c_0_36,plain,
( X1 = iplus5
| X1 = iminus5
| ~ cTorF(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_37,plain,
cTorF(iF),
inference(er,[status(thm)],[c_0_34]) ).
fof(c_0_38,plain,
! [X19] :
( ( ~ cTorF(X19)
| X19 = iplus7
| X19 = iminus7 )
& ( X19 != iplus7
| cTorF(X19) )
& ( X19 != iminus7
| cTorF(X19) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])]) ).
fof(c_0_39,plain,
! [X21] :
( ( ~ cTorF(X21)
| X21 = iplus3
| X21 = iminus3 )
& ( X21 != iplus3
| cTorF(X21) )
& ( X21 != iminus3
| cTorF(X21) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])])]) ).
cnf(c_0_40,plain,
( X1 = iplus8
| X1 = iminus8
| ~ cTorF(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_41,plain,
iT != iF,
inference(split_conjunct,[status(thm)],[axiom_77]) ).
cnf(c_0_42,plain,
( iF = iminus5
| iF = iplus5 ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,plain,
( cTorF(X1)
| X1 != iplus5 ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_44,plain,
( X1 = iplus7
| X1 = iminus7
| ~ cTorF(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_45,plain,
! [X24] :
( ( ~ cTorF(X24)
| X24 = iminus6
| X24 = iplus6 )
& ( X24 != iminus6
| cTorF(X24) )
& ( X24 != iplus6
| cTorF(X24) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_10])])]) ).
cnf(c_0_46,plain,
( cTorF(X1)
| X1 != iminus5 ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_47,plain,
! [X16] :
( ( ~ cTorF(X16)
| X16 = iplus1
| X16 = iminus1 )
& ( X16 != iplus1
| cTorF(X16) )
& ( X16 != iminus1
| cTorF(X16) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])]) ).
fof(c_0_48,plain,
! [X18] :
( ( ~ cTorF(X18)
| X18 = iplus2
| X18 = iminus2 )
& ( X18 != iplus2
| cTorF(X18) )
& ( X18 != iminus2
| cTorF(X18) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])])]) ).
cnf(c_0_49,plain,
( X1 = iplus3
| X1 = iminus3
| ~ cTorF(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_50,plain,
( iF = iminus8
| iF = iplus8 ),
inference(spm,[status(thm)],[c_0_40,c_0_37]) ).
cnf(c_0_51,plain,
( iF = iminus5
| iplus5 != iT ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_52,plain,
cTorF(iplus5),
inference(er,[status(thm)],[c_0_43]) ).
cnf(c_0_53,plain,
( cTorF(X1)
| X1 != iT ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_54,plain,
( iF = iminus7
| iF = iplus7 ),
inference(spm,[status(thm)],[c_0_44,c_0_37]) ).
cnf(c_0_55,plain,
( cTorF(X1)
| X1 != iplus7 ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_56,plain,
( X1 = iminus6
| X1 = iplus6
| ~ cTorF(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_57,plain,
cTorF(iminus5),
inference(er,[status(thm)],[c_0_46]) ).
cnf(c_0_58,plain,
( X1 = iplus1
| X1 = iminus1
| ~ cTorF(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_59,plain,
! [X25] :
( ( ~ cTorF(X25)
| X25 = iminus9
| X25 = iplus9 )
& ( X25 != iminus9
| cTorF(X25) )
& ( X25 != iplus9
| cTorF(X25) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_11])])]) ).
cnf(c_0_60,plain,
( X1 = iplus2
| X1 = iminus2
| ~ cTorF(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_61,plain,
( iF = iminus3
| iF = iplus3 ),
inference(spm,[status(thm)],[c_0_49,c_0_37]) ).
cnf(c_0_62,plain,
( iF = iminus8
| iplus8 != iT ),
inference(spm,[status(thm)],[c_0_41,c_0_50]) ).
cnf(c_0_63,plain,
( iminus5 != iT
| iplus5 != iT ),
inference(spm,[status(thm)],[c_0_41,c_0_51]) ).
cnf(c_0_64,plain,
( iT = iplus5
| iT = iminus8
| iT = iminus3 ),
inference(split_conjunct,[status(thm)],[axiom_49]) ).
cnf(c_0_65,plain,
( iT = iminus5
| iT = iminus8
| iT = iminus3 ),
inference(split_conjunct,[status(thm)],[axiom_45]) ).
cnf(c_0_66,plain,
( iplus5 = iminus7
| iplus5 = iplus7 ),
inference(spm,[status(thm)],[c_0_44,c_0_52]) ).
cnf(c_0_67,plain,
cTorF(iT),
inference(er,[status(thm)],[c_0_53]) ).
cnf(c_0_68,plain,
( iF = iminus7
| iplus7 != iminus7 ),
inference(ef,[status(thm)],[c_0_54]) ).
cnf(c_0_69,plain,
cTorF(iplus7),
inference(er,[status(thm)],[c_0_55]) ).
cnf(c_0_70,plain,
( iF = iminus5
| iplus5 != iminus5 ),
inference(ef,[status(thm)],[c_0_42]) ).
cnf(c_0_71,plain,
( iplus5 = iplus6
| iplus5 = iminus6 ),
inference(spm,[status(thm)],[c_0_56,c_0_52]) ).
cnf(c_0_72,plain,
( iminus5 = iplus6
| iminus5 = iminus6 ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
fof(c_0_73,plain,
! [X17] :
( ( ~ cTorF(X17)
| X17 = iminus4
| X17 = iplus4 )
& ( X17 != iminus4
| cTorF(X17) )
& ( X17 != iplus4
| cTorF(X17) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])]) ).
cnf(c_0_74,plain,
( iF = iminus1
| iF = iplus1 ),
inference(spm,[status(thm)],[c_0_58,c_0_37]) ).
cnf(c_0_75,plain,
( X1 = iminus9
| X1 = iplus9
| ~ cTorF(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_76,plain,
( iF = iplus6
| iF = iminus6 ),
inference(spm,[status(thm)],[c_0_56,c_0_37]) ).
cnf(c_0_77,plain,
( cTorF(X1)
| X1 != iminus1 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_78,plain,
( iF = iminus2
| iF = iplus2 ),
inference(spm,[status(thm)],[c_0_60,c_0_37]) ).
cnf(c_0_79,plain,
( iF = iplus3
| iminus3 != iT ),
inference(spm,[status(thm)],[c_0_41,c_0_61]) ).
cnf(c_0_80,plain,
( iminus8 != iT
| iplus8 != iT ),
inference(spm,[status(thm)],[c_0_41,c_0_62]) ).
cnf(c_0_81,plain,
( iT = iplus8
| iT = iplus2
| iT = iminus3 ),
inference(split_conjunct,[status(thm)],[axiom_42]) ).
cnf(c_0_82,plain,
( iminus8 = iT
| iminus3 = iT ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]) ).
cnf(c_0_83,plain,
( iplus5 = iminus7
| iplus7 != iminus7 ),
inference(ef,[status(thm)],[c_0_66]) ).
cnf(c_0_84,plain,
( iminus5 = iT
| iplus5 = iT ),
inference(spm,[status(thm)],[c_0_36,c_0_67]) ).
cnf(c_0_85,plain,
( iminus7 != iT
| iplus7 != iminus7 ),
inference(spm,[status(thm)],[c_0_41,c_0_68]) ).
cnf(c_0_86,plain,
( iplus7 = iplus6
| iplus7 = iminus6 ),
inference(spm,[status(thm)],[c_0_56,c_0_69]) ).
cnf(c_0_87,plain,
( iminus5 != iT
| iplus5 != iminus5 ),
inference(spm,[status(thm)],[c_0_41,c_0_70]) ).
cnf(c_0_88,plain,
( iplus5 = iplus6
| iminus6 != iplus6 ),
inference(ef,[status(thm)],[c_0_71]) ).
cnf(c_0_89,plain,
( iminus5 = iplus6
| iminus6 != iplus6 ),
inference(ef,[status(thm)],[c_0_72]) ).
cnf(c_0_90,plain,
( cTorF(X1)
| X1 != iminus6 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_91,plain,
( cTorF(X1)
| X1 != iplus4 ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_92,plain,
( iF = iplus1
| iminus1 != iplus1 ),
inference(ef,[status(thm)],[c_0_74]) ).
cnf(c_0_93,plain,
( iF = iplus9
| iF = iminus9 ),
inference(spm,[status(thm)],[c_0_75,c_0_37]) ).
cnf(c_0_94,plain,
( iF = iplus6
| iminus6 != iT ),
inference(spm,[status(thm)],[c_0_41,c_0_76]) ).
cnf(c_0_95,plain,
cTorF(iminus1),
inference(er,[status(thm)],[c_0_77]) ).
cnf(c_0_96,plain,
( iF = iminus2
| iplus2 != iT ),
inference(spm,[status(thm)],[c_0_41,c_0_78]) ).
cnf(c_0_97,plain,
( iplus3 != iT
| iminus3 != iT ),
inference(spm,[status(thm)],[c_0_41,c_0_79]) ).
cnf(c_0_98,plain,
( iminus3 = iT
| iplus2 = iT ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).
cnf(c_0_99,plain,
( iminus5 = iT
| iplus7 != iminus7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]) ).
cnf(c_0_100,plain,
( iplus7 = iplus6
| iminus6 != iplus6 ),
inference(ef,[status(thm)],[c_0_86]) ).
cnf(c_0_101,plain,
( iminus5 != iT
| iminus6 != iplus6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]) ).
cnf(c_0_102,plain,
cTorF(iminus6),
inference(er,[status(thm)],[c_0_90]) ).
cnf(c_0_103,plain,
cTorF(iplus4),
inference(er,[status(thm)],[c_0_91]) ).
cnf(c_0_104,plain,
( iplus1 != iT
| iminus1 != iplus1 ),
inference(spm,[status(thm)],[c_0_41,c_0_92]) ).
cnf(c_0_105,plain,
( iT = iplus2
| iT = iplus4
| iT = iminus1 ),
inference(split_conjunct,[status(thm)],[axiom_37]) ).
cnf(c_0_106,plain,
( iF = iplus9
| iminus9 != iT ),
inference(spm,[status(thm)],[c_0_41,c_0_93]) ).
cnf(c_0_107,plain,
( iplus6 != iT
| iminus6 != iT ),
inference(spm,[status(thm)],[c_0_41,c_0_94]) ).
cnf(c_0_108,plain,
( iT = iminus9
| iT = iminus6
| iT = iplus1 ),
inference(split_conjunct,[status(thm)],[axiom_19]) ).
cnf(c_0_109,plain,
( iT = iminus6
| iT = iplus1
| iT = iplus9 ),
inference(split_conjunct,[status(thm)],[axiom_17]) ).
cnf(c_0_110,plain,
( iminus1 = iminus2
| iminus1 = iplus2 ),
inference(spm,[status(thm)],[c_0_60,c_0_95]) ).
cnf(c_0_111,plain,
( iminus2 != iT
| iplus2 != iT ),
inference(spm,[status(thm)],[c_0_41,c_0_96]) ).
cnf(c_0_112,plain,
( iplus2 = iT
| iplus3 != iT ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_113,plain,
( iT = iminus2
| iT = iplus1
| iT = iminus3 ),
inference(split_conjunct,[status(thm)],[axiom_38]) ).
cnf(c_0_114,plain,
( X1 = iminus4
| X1 = iplus4
| ~ cTorF(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_115,plain,
( iminus7 != iplus6
| iminus6 != iplus6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]) ).
cnf(c_0_116,plain,
( iminus6 = iminus3
| iminus6 = iplus3 ),
inference(spm,[status(thm)],[c_0_49,c_0_102]) ).
cnf(c_0_117,plain,
( cTorF(X1)
| X1 != iminus7 ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_118,plain,
( cTorF(X1)
| X1 != iplus6 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_119,plain,
( iminus2 = iplus4
| iplus2 = iplus4 ),
inference(spm,[status(thm)],[c_0_60,c_0_103]) ).
cnf(c_0_120,plain,
( iplus2 = iT
| iplus4 = iT
| iplus1 != iT ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_121,plain,
( iT = iminus6
| iT = iminus2
| iT = iplus4 ),
inference(split_conjunct,[status(thm)],[axiom_56]) ).
cnf(c_0_122,plain,
( iplus9 != iT
| iminus9 != iT ),
inference(spm,[status(thm)],[c_0_41,c_0_106]) ).
cnf(c_0_123,plain,
( iminus9 = iT
| iplus1 = iT
| iplus6 != iT ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_124,plain,
( iplus9 = iT
| iplus1 = iT
| iplus6 != iT ),
inference(spm,[status(thm)],[c_0_107,c_0_109]) ).
cnf(c_0_125,plain,
( iminus1 = iminus2
| iplus1 != iT
| iplus2 != iplus1 ),
inference(spm,[status(thm)],[c_0_104,c_0_110]) ).
cnf(c_0_126,plain,
( iminus2 != iT
| iplus3 != iT ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_127,plain,
( iminus2 = iT
| iplus1 = iT
| iplus3 != iT ),
inference(spm,[status(thm)],[c_0_97,c_0_113]) ).
cnf(c_0_128,plain,
( cTorF(X1)
| X1 != iminus2 ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_129,plain,
( iF = iplus4
| iF = iminus4 ),
inference(spm,[status(thm)],[c_0_114,c_0_37]) ).
cnf(c_0_130,plain,
( iminus6 = iplus3
| iminus7 != iplus6
| iminus3 != iplus6 ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_131,plain,
cTorF(iminus7),
inference(er,[status(thm)],[c_0_117]) ).
cnf(c_0_132,plain,
cTorF(iplus6),
inference(er,[status(thm)],[c_0_118]) ).
cnf(c_0_133,plain,
( iplus4 = iT
| iminus2 = iplus4
| iplus1 != iT ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_134,plain,
( iminus2 = iT
| iplus4 = iT
| iplus6 != iT ),
inference(spm,[status(thm)],[c_0_107,c_0_121]) ).
cnf(c_0_135,plain,
( iplus1 = iT
| iplus6 != iT ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124]) ).
cnf(c_0_136,plain,
( iplus1 != iT
| iminus2 != iplus1
| iplus2 != iplus1 ),
inference(spm,[status(thm)],[c_0_104,c_0_125]) ).
cnf(c_0_137,plain,
( iplus1 = iT
| iplus3 != iT ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_138,plain,
cTorF(iminus2),
inference(er,[status(thm)],[c_0_128]) ).
cnf(c_0_139,plain,
( iF = iminus4
| iplus4 != iT ),
inference(spm,[status(thm)],[c_0_41,c_0_129]) ).
cnf(c_0_140,plain,
( iminus7 != iplus6
| iplus6 != iplus3
| iminus3 != iplus6 ),
inference(spm,[status(thm)],[c_0_115,c_0_130]) ).
cnf(c_0_141,plain,
( iminus7 = iminus3
| iminus7 = iplus3 ),
inference(spm,[status(thm)],[c_0_49,c_0_131]) ).
cnf(c_0_142,plain,
( cTorF(X1)
| X1 != iminus3 ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_143,plain,
( iminus2 = iplus6
| iplus2 = iplus6 ),
inference(spm,[status(thm)],[c_0_60,c_0_132]) ).
cnf(c_0_144,plain,
( iplus4 = iT
| iplus6 != iT ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135]) ).
cnf(c_0_145,plain,
( iminus2 != iplus1
| iplus3 != iT ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_112]),c_0_137]) ).
cnf(c_0_146,plain,
( iminus2 = iplus4
| iminus2 = iminus4 ),
inference(spm,[status(thm)],[c_0_114,c_0_138]) ).
cnf(c_0_147,plain,
( cTorF(X1)
| X1 != iplus1 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_148,plain,
( iminus4 != iT
| iplus4 != iT ),
inference(spm,[status(thm)],[c_0_41,c_0_139]) ).
cnf(c_0_149,plain,
( iT = iplus3
| iT = iplus6
| iT = iplus4 ),
inference(split_conjunct,[status(thm)],[axiom_22]) ).
cnf(c_0_150,plain,
( iT = iplus3
| iT = iplus6
| iT = iminus4 ),
inference(split_conjunct,[status(thm)],[axiom_39]) ).
cnf(c_0_151,plain,
( iminus7 = iplus3
| iminus3 != iplus6
| iplus6 != iplus3 ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_152,plain,
cTorF(iminus3),
inference(er,[status(thm)],[c_0_142]) ).
cnf(c_0_153,plain,
( iplus4 = iT
| iplus1 != iT
| iminus2 != iplus1 ),
inference(spm,[status(thm)],[c_0_136,c_0_120]) ).
cnf(c_0_154,plain,
( iplus4 = iT
| iminus2 = iplus6
| iplus1 != iT ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_120]),c_0_144]) ).
cnf(c_0_155,plain,
( iminus2 = iminus4
| iplus4 != iplus1
| iplus3 != iT ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_156,plain,
cTorF(iplus1),
inference(er,[status(thm)],[c_0_147]) ).
cnf(c_0_157,plain,
( iminus4 != iT
| iplus6 != iT ),
inference(spm,[status(thm)],[c_0_148,c_0_144]) ).
cnf(c_0_158,plain,
( iplus6 = iT
| iplus3 = iT ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_150]) ).
cnf(c_0_159,plain,
( iT = iplus8
| iT = iminus3
| iT = iplus7 ),
inference(split_conjunct,[status(thm)],[axiom_15]) ).
cnf(c_0_160,plain,
( iplus6 != iplus3
| iminus3 != iplus6 ),
inference(spm,[status(thm)],[c_0_140,c_0_151]) ).
cnf(c_0_161,plain,
( iminus3 = iplus4
| iminus3 = iminus4 ),
inference(spm,[status(thm)],[c_0_114,c_0_152]) ).
cnf(c_0_162,plain,
( iplus4 = iT
| iplus1 != iT
| iplus1 != iplus6 ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_163,plain,
( iminus4 != iT
| iplus3 != iT
| iplus4 != iplus1 ),
inference(spm,[status(thm)],[c_0_126,c_0_155]) ).
cnf(c_0_164,plain,
( iplus4 = iplus1
| iplus1 = iminus4 ),
inference(spm,[status(thm)],[c_0_114,c_0_156]) ).
cnf(c_0_165,plain,
( iplus3 = iT
| iminus4 != iT ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_166,plain,
( cTorF(X1)
| X1 != iplus3 ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_167,plain,
( iF = iplus6
| iminus6 != iplus6 ),
inference(ef,[status(thm)],[c_0_76]) ).
cnf(c_0_168,plain,
( iplus8 = iT
| iminus3 = iT
| iminus7 != iT ),
inference(spm,[status(thm)],[c_0_85,c_0_159]) ).
cnf(c_0_169,plain,
( iT = iminus8
| iT = iminus9
| iT = iminus4 ),
inference(split_conjunct,[status(thm)],[axiom_40]) ).
cnf(c_0_170,plain,
( iT = iminus8
| iT = iminus4
| iT = iplus9 ),
inference(split_conjunct,[status(thm)],[axiom_21]) ).
cnf(c_0_171,plain,
( iminus3 = iminus4
| iplus6 != iplus3
| iplus4 != iplus6 ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_172,plain,
( iminus4 != iT
| iplus1 != iT
| iplus1 != iplus6 ),
inference(spm,[status(thm)],[c_0_148,c_0_162]) ).
cnf(c_0_173,plain,
( iplus1 = iminus4
| iminus4 != iT ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_165]) ).
cnf(c_0_174,plain,
cTorF(iplus3),
inference(er,[status(thm)],[c_0_166]) ).
cnf(c_0_175,plain,
( iplus6 != iT
| iminus6 != iplus6 ),
inference(spm,[status(thm)],[c_0_41,c_0_167]) ).
cnf(c_0_176,plain,
( iminus6 = iplus3
| iplus6 != iT
| iminus3 != iT ),
inference(spm,[status(thm)],[c_0_107,c_0_116]) ).
cnf(c_0_177,plain,
( iminus3 = iT
| iminus8 != iT
| iminus7 != iT ),
inference(spm,[status(thm)],[c_0_80,c_0_168]) ).
cnf(c_0_178,plain,
( iT = iminus4
| iT = iminus3
| iT = iminus7 ),
inference(split_conjunct,[status(thm)],[axiom_36]) ).
cnf(c_0_179,plain,
( iminus8 = iT
| iminus4 = iT ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_169]),c_0_170]) ).
cnf(c_0_180,plain,
( iT = iplus6
| iT = iminus4
| iT = iminus3 ),
inference(split_conjunct,[status(thm)],[axiom_28]) ).
cnf(c_0_181,plain,
( iminus4 != iT
| iplus6 != iplus3
| iplus4 != iplus6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_171]),c_0_165]) ).
cnf(c_0_182,plain,
( iplus4 = iplus6
| iplus6 = iminus4 ),
inference(spm,[status(thm)],[c_0_114,c_0_132]) ).
cnf(c_0_183,plain,
( iminus4 != iT
| iplus6 != iminus4 ),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_184,plain,
( cTorF(X1)
| X1 != iminus4 ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_185,plain,
( cTorF(X1)
| X1 != iminus9 ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_186,plain,
( iT = iplus5
| iT = iplus9
| iT = iminus7 ),
inference(split_conjunct,[status(thm)],[axiom_16]) ).
cnf(c_0_187,plain,
( iplus7 = iplus9
| iplus7 = iminus9 ),
inference(spm,[status(thm)],[c_0_75,c_0_69]) ).
cnf(c_0_188,plain,
( iminus7 = iplus9
| iminus7 = iminus9 ),
inference(spm,[status(thm)],[c_0_75,c_0_131]) ).
cnf(c_0_189,plain,
( iF = iplus9
| iminus9 != iplus9 ),
inference(ef,[status(thm)],[c_0_93]) ).
cnf(c_0_190,plain,
( iplus4 = iplus3
| iplus3 = iminus4 ),
inference(spm,[status(thm)],[c_0_114,c_0_174]) ).
cnf(c_0_191,plain,
( iplus6 != iT
| iplus6 != iplus3
| iminus3 != iT ),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_192,plain,
( iminus4 = iT
| iminus3 = iT ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_179]) ).
cnf(c_0_193,plain,
( iplus6 = iT
| iminus4 = iT ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_180]),c_0_158]) ).
cnf(c_0_194,plain,
( iminus4 != iT
| iplus6 != iplus3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_183]) ).
cnf(c_0_195,plain,
cTorF(iminus4),
inference(er,[status(thm)],[c_0_184]) ).
cnf(c_0_196,plain,
( iT = iplus8
| iT = iplus2
| iT = iminus4 ),
inference(split_conjunct,[status(thm)],[axiom_31]) ).
cnf(c_0_197,plain,
cTorF(iminus9),
inference(er,[status(thm)],[c_0_185]) ).
cnf(c_0_198,plain,
( iplus9 = iT
| iplus7 != iminus7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_83]),c_0_85]) ).
cnf(c_0_199,plain,
( iplus7 = iplus9
| iminus9 != iplus9 ),
inference(ef,[status(thm)],[c_0_187]) ).
cnf(c_0_200,plain,
( iminus7 = iplus9
| iminus9 != iplus9 ),
inference(ef,[status(thm)],[c_0_188]) ).
cnf(c_0_201,plain,
( iplus9 != iT
| iminus9 != iplus9 ),
inference(spm,[status(thm)],[c_0_41,c_0_189]) ).
cnf(c_0_202,plain,
( iplus3 = iminus4
| iplus6 = iminus4
| iplus6 = iplus3 ),
inference(spm,[status(thm)],[c_0_182,c_0_190]) ).
cnf(c_0_203,plain,
iplus6 != iplus3,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_193]),c_0_194]) ).
cnf(c_0_204,plain,
( iminus3 = iminus4
| iplus3 = iminus4 ),
inference(spm,[status(thm)],[c_0_49,c_0_195]) ).
cnf(c_0_205,plain,
( iplus2 = iT
| iminus4 = iT
| iminus8 != iT ),
inference(spm,[status(thm)],[c_0_80,c_0_196]) ).
cnf(c_0_206,plain,
( iminus9 = iminus3
| iminus9 = iplus3 ),
inference(spm,[status(thm)],[c_0_49,c_0_197]) ).
cnf(c_0_207,plain,
iminus9 != iplus9,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_200]),c_0_201]) ).
cnf(c_0_208,plain,
( iplus6 = iminus4
| iplus3 = iminus4 ),
inference(sr,[status(thm)],[c_0_202,c_0_203]) ).
cnf(c_0_209,plain,
( iplus3 = iminus4
| iminus4 = iT ),
inference(spm,[status(thm)],[c_0_204,c_0_192]) ).
cnf(c_0_210,plain,
( iminus4 = iT
| iminus2 != iT
| iminus8 != iT ),
inference(spm,[status(thm)],[c_0_111,c_0_205]) ).
cnf(c_0_211,plain,
( iminus3 = iplus6
| iplus6 = iplus3 ),
inference(spm,[status(thm)],[c_0_49,c_0_132]) ).
cnf(c_0_212,plain,
( iminus9 = iplus3
| iplus9 != iT
| iminus3 != iplus9 ),
inference(spm,[status(thm)],[c_0_201,c_0_206]) ).
cnf(c_0_213,plain,
( iT = iplus3
| iT = iminus9
| iT = iminus2 ),
inference(split_conjunct,[status(thm)],[axiom_26]) ).
cnf(c_0_214,plain,
( iminus9 = iplus3
| iminus3 != iplus9 ),
inference(spm,[status(thm)],[c_0_207,c_0_206]) ).
cnf(c_0_215,plain,
iplus3 = iminus4,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_208]),c_0_209]) ).
cnf(c_0_216,plain,
( iminus4 = iT
| iminus2 != iT ),
inference(spm,[status(thm)],[c_0_210,c_0_179]) ).
cnf(c_0_217,plain,
iminus3 = iplus6,
inference(sr,[status(thm)],[c_0_211,c_0_203]) ).
cnf(c_0_218,plain,
( iplus9 != iT
| iplus3 != iT
| iminus3 != iplus9 ),
inference(spm,[status(thm)],[c_0_122,c_0_212]) ).
cnf(c_0_219,plain,
( iplus3 = iT
| iminus2 = iT
| iminus3 != iplus9 ),
inference(spm,[status(thm)],[c_0_213,c_0_214]) ).
cnf(c_0_220,plain,
iminus2 != iT,
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_215]),c_0_216]) ).
cnf(c_0_221,plain,
( iplus6 = iT
| iminus8 = iT ),
inference(spm,[status(thm)],[c_0_82,c_0_217]) ).
cnf(c_0_222,plain,
( iplus9 != iT
| iplus3 != iT
| iplus6 != iplus9 ),
inference(rw,[status(thm)],[c_0_218,c_0_217]) ).
cnf(c_0_223,plain,
( iminus4 = iT
| iplus6 != iplus9 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_219,c_0_217]),c_0_215]),c_0_220]) ).
cnf(c_0_224,plain,
( iT = iplus6
| iT = iminus2
| iT = iminus7 ),
inference(split_conjunct,[status(thm)],[axiom_27]) ).
cnf(c_0_225,plain,
( iplus6 = iT
| iminus7 != iT ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_217]),c_0_221]) ).
cnf(c_0_226,plain,
( iplus9 != iT
| iplus6 != iplus9 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_222,c_0_215]),c_0_223]) ).
cnf(c_0_227,plain,
iplus6 = iT,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_224,c_0_220]),c_0_225]) ).
cnf(c_0_228,plain,
( iplus6 = iplus3
| iminus6 = iplus3 ),
inference(spm,[status(thm)],[c_0_56,c_0_174]) ).
cnf(c_0_229,plain,
iplus6 != iminus4,
inference(rw,[status(thm)],[c_0_203,c_0_215]) ).
cnf(c_0_230,plain,
( iT = iminus4
| iT = iplus7
| iT = iplus9 ),
inference(split_conjunct,[status(thm)],[axiom_58]) ).
cnf(c_0_231,plain,
( iT = iminus6
| iT = iplus9
| iT = iminus7 ),
inference(split_conjunct,[status(thm)],[axiom_14]) ).
cnf(c_0_232,plain,
iplus9 != iT,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_227])]) ).
cnf(c_0_233,plain,
iminus6 = iplus3,
inference(sr,[status(thm)],[c_0_228,c_0_203]) ).
cnf(c_0_234,plain,
iminus4 != iT,
inference(rw,[status(thm)],[c_0_229,c_0_227]) ).
cnf(c_0_235,plain,
( iplus9 = iT
| iminus4 = iT
| iminus7 != iT ),
inference(spm,[status(thm)],[c_0_85,c_0_230]) ).
cnf(c_0_236,plain,
iminus7 = iT,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_231,c_0_232]),c_0_233]),c_0_215]),c_0_234]) ).
cnf(c_0_237,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_235,c_0_236])]),c_0_232]),c_0_234]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : KRS102+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 02:21:02 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.59 start to proof: theBenchmark
% 1.17/1.27 % Version : CSE_E---1.5
% 1.17/1.27 % Problem : theBenchmark.p
% 1.17/1.27 % Proof found
% 1.17/1.27 % SZS status Theorem for theBenchmark.p
% 1.17/1.27 % SZS output start Proof
% See solution above
% 1.17/1.28 % Total time : 0.670000 s
% 1.17/1.28 % SZS output end Proof
% 1.17/1.28 % Total time : 0.674000 s
%------------------------------------------------------------------------------