TSTP Solution File: KRS102+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : KRS102+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n003.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 : Fri May 3 02:33:37 EDT 2024
% Result : Unsatisfiable 2.37s 1.16s
% Output : CNFRefutation 2.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 29
% Syntax : Number of formulae : 177 ( 8 unt; 0 def)
% Number of atoms : 560 ( 486 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 563 ( 180 ~; 329 |; 36 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 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 : 86 ( 0 sgn 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X2] :
( cTorF(X2)
<=> ( iminus1 = X2
| iplus1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f9,axiom,
! [X2] :
( cTorF(X2)
<=> ( iplus4 = X2
| iminus4 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f10,axiom,
! [X2] :
( cTorF(X2)
<=> ( iminus2 = X2
| iplus2 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f11,axiom,
! [X2] :
( cTorF(X2)
<=> ( iminus7 = X2
| iplus7 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f13,axiom,
! [X2] :
( cTorF(X2)
<=> ( iminus3 = X2
| iplus3 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f14,axiom,
! [X2] :
( cTorF(X2)
<=> ( iF = X2
| iT = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f15,axiom,
! [X2] :
( cTorF(X2)
<=> ( iminus8 = X2
| iplus8 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f16,axiom,
! [X2] :
( cTorF(X2)
<=> ( iplus6 = X2
| iminus6 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f17,axiom,
! [X2] :
( cTorF(X2)
<=> ( iplus9 = X2
| iminus9 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f20,axiom,
( iminus7 = iT
| iT = iplus9
| iT = iminus6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f24,axiom,
( iplus4 = iT
| iT = iminus9
| iplus3 = iT ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(f25,axiom,
( iplus1 = iT
| iT = iminus6
| iT = iminus9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f29,axiom,
( iplus4 = iT
| iplus7 = iT
| iplus1 = iT ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_23) ).
fof(f31,axiom,
( iplus4 = iT
| iT = iplus6
| iT = iminus8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).
fof(f33,axiom,
( iminus7 = iT
| iminus2 = iT
| iT = iplus6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).
fof(f37,axiom,
( iminus4 = iT
| iplus2 = iT
| iT = iplus8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_31) ).
fof(f42,axiom,
( iminus7 = iT
| iminus3 = iT
| iminus4 = iT ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).
fof(f43,axiom,
( iminus1 = iT
| iplus4 = iT
| iplus2 = iT ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
fof(f46,axiom,
( iminus4 = iT
| iT = iminus9
| iT = iminus8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_40) ).
fof(f48,axiom,
( iminus3 = iT
| iplus2 = iT
| iT = iplus8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_42) ).
fof(f49,axiom,
( iT = iplus9
| iT = iminus8
| iplus3 = iT ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_43) ).
fof(f50,axiom,
( iminus7 = iT
| iplus3 = iT
| iT = iplus8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_44) ).
fof(f54,axiom,
( iplus7 = iT
| iminus2 = iT
| iT = iminus9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_48) ).
fof(f57,axiom,
( iT = iplus9
| iminus2 = iT
| iT = iplus6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_51) ).
fof(f62,axiom,
( iplus4 = iT
| iminus2 = iT
| iT = iminus6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_56) ).
fof(f64,axiom,
( iT = iplus9
| iplus7 = iT
| iminus4 = iT ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_58) ).
fof(f83,axiom,
iT != iF,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_77) ).
fof(f86,plain,
! [X0] :
( cTorF(X0)
<=> ( iminus1 = X0
| iplus1 = X0 ) ),
inference(rectify,[],[f8]) ).
fof(f87,plain,
! [X0] :
( cTorF(X0)
<=> ( iplus4 = X0
| iminus4 = X0 ) ),
inference(rectify,[],[f9]) ).
fof(f88,plain,
! [X0] :
( cTorF(X0)
<=> ( iminus2 = X0
| iplus2 = X0 ) ),
inference(rectify,[],[f10]) ).
fof(f89,plain,
! [X0] :
( cTorF(X0)
<=> ( iminus7 = X0
| iplus7 = X0 ) ),
inference(rectify,[],[f11]) ).
fof(f91,plain,
! [X0] :
( cTorF(X0)
<=> ( iminus3 = X0
| iplus3 = X0 ) ),
inference(rectify,[],[f13]) ).
fof(f92,plain,
! [X0] :
( cTorF(X0)
<=> ( iF = X0
| iT = X0 ) ),
inference(rectify,[],[f14]) ).
fof(f93,plain,
! [X0] :
( cTorF(X0)
<=> ( iminus8 = X0
| iplus8 = X0 ) ),
inference(rectify,[],[f15]) ).
fof(f94,plain,
! [X0] :
( cTorF(X0)
<=> ( iplus6 = X0
| iminus6 = X0 ) ),
inference(rectify,[],[f16]) ).
fof(f95,plain,
! [X0] :
( cTorF(X0)
<=> ( iplus9 = X0
| iminus9 = X0 ) ),
inference(rectify,[],[f17]) ).
fof(f107,plain,
! [X0] :
( ( cTorF(X0)
| ( iminus1 != X0
& iplus1 != X0 ) )
& ( iminus1 = X0
| iplus1 = X0
| ~ cTorF(X0) ) ),
inference(nnf_transformation,[],[f86]) ).
fof(f108,plain,
! [X0] :
( ( cTorF(X0)
| ( iminus1 != X0
& iplus1 != X0 ) )
& ( iminus1 = X0
| iplus1 = X0
| ~ cTorF(X0) ) ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [X0] :
( ( cTorF(X0)
| ( iplus4 != X0
& iminus4 != X0 ) )
& ( iplus4 = X0
| iminus4 = X0
| ~ cTorF(X0) ) ),
inference(nnf_transformation,[],[f87]) ).
fof(f110,plain,
! [X0] :
( ( cTorF(X0)
| ( iplus4 != X0
& iminus4 != X0 ) )
& ( iplus4 = X0
| iminus4 = X0
| ~ cTorF(X0) ) ),
inference(flattening,[],[f109]) ).
fof(f111,plain,
! [X0] :
( ( cTorF(X0)
| ( iminus2 != X0
& iplus2 != X0 ) )
& ( iminus2 = X0
| iplus2 = X0
| ~ cTorF(X0) ) ),
inference(nnf_transformation,[],[f88]) ).
fof(f112,plain,
! [X0] :
( ( cTorF(X0)
| ( iminus2 != X0
& iplus2 != X0 ) )
& ( iminus2 = X0
| iplus2 = X0
| ~ cTorF(X0) ) ),
inference(flattening,[],[f111]) ).
fof(f113,plain,
! [X0] :
( ( cTorF(X0)
| ( iminus7 != X0
& iplus7 != X0 ) )
& ( iminus7 = X0
| iplus7 = X0
| ~ cTorF(X0) ) ),
inference(nnf_transformation,[],[f89]) ).
fof(f114,plain,
! [X0] :
( ( cTorF(X0)
| ( iminus7 != X0
& iplus7 != X0 ) )
& ( iminus7 = X0
| iplus7 = X0
| ~ cTorF(X0) ) ),
inference(flattening,[],[f113]) ).
fof(f117,plain,
! [X0] :
( ( cTorF(X0)
| ( iminus3 != X0
& iplus3 != X0 ) )
& ( iminus3 = X0
| iplus3 = X0
| ~ cTorF(X0) ) ),
inference(nnf_transformation,[],[f91]) ).
fof(f118,plain,
! [X0] :
( ( cTorF(X0)
| ( iminus3 != X0
& iplus3 != X0 ) )
& ( iminus3 = X0
| iplus3 = X0
| ~ cTorF(X0) ) ),
inference(flattening,[],[f117]) ).
fof(f119,plain,
! [X0] :
( ( cTorF(X0)
| ( iF != X0
& iT != X0 ) )
& ( iF = X0
| iT = X0
| ~ cTorF(X0) ) ),
inference(nnf_transformation,[],[f92]) ).
fof(f120,plain,
! [X0] :
( ( cTorF(X0)
| ( iF != X0
& iT != X0 ) )
& ( iF = X0
| iT = X0
| ~ cTorF(X0) ) ),
inference(flattening,[],[f119]) ).
fof(f121,plain,
! [X0] :
( ( cTorF(X0)
| ( iminus8 != X0
& iplus8 != X0 ) )
& ( iminus8 = X0
| iplus8 = X0
| ~ cTorF(X0) ) ),
inference(nnf_transformation,[],[f93]) ).
fof(f122,plain,
! [X0] :
( ( cTorF(X0)
| ( iminus8 != X0
& iplus8 != X0 ) )
& ( iminus8 = X0
| iplus8 = X0
| ~ cTorF(X0) ) ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
! [X0] :
( ( cTorF(X0)
| ( iplus6 != X0
& iminus6 != X0 ) )
& ( iplus6 = X0
| iminus6 = X0
| ~ cTorF(X0) ) ),
inference(nnf_transformation,[],[f94]) ).
fof(f124,plain,
! [X0] :
( ( cTorF(X0)
| ( iplus6 != X0
& iminus6 != X0 ) )
& ( iplus6 = X0
| iminus6 = X0
| ~ cTorF(X0) ) ),
inference(flattening,[],[f123]) ).
fof(f125,plain,
! [X0] :
( ( cTorF(X0)
| ( iplus9 != X0
& iminus9 != X0 ) )
& ( iplus9 = X0
| iminus9 = X0
| ~ cTorF(X0) ) ),
inference(nnf_transformation,[],[f95]) ).
fof(f126,plain,
! [X0] :
( ( cTorF(X0)
| ( iplus9 != X0
& iminus9 != X0 ) )
& ( iplus9 = X0
| iminus9 = X0
| ~ cTorF(X0) ) ),
inference(flattening,[],[f125]) ).
fof(f136,plain,
! [X0] :
( iminus1 = X0
| iplus1 = X0
| ~ cTorF(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f139,plain,
! [X0] :
( iplus4 = X0
| iminus4 = X0
| ~ cTorF(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f142,plain,
! [X0] :
( iminus2 = X0
| iplus2 = X0
| ~ cTorF(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f145,plain,
! [X0] :
( iminus7 = X0
| iplus7 = X0
| ~ cTorF(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f151,plain,
! [X0] :
( iminus3 = X0
| iplus3 = X0
| ~ cTorF(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f156,plain,
! [X0] :
( cTorF(X0)
| iF != X0 ),
inference(cnf_transformation,[],[f120]) ).
fof(f157,plain,
! [X0] :
( iminus8 = X0
| iplus8 = X0
| ~ cTorF(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f160,plain,
! [X0] :
( iplus6 = X0
| iminus6 = X0
| ~ cTorF(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f163,plain,
! [X0] :
( iplus9 = X0
| iminus9 = X0
| ~ cTorF(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f168,plain,
( iminus7 = iT
| iT = iplus9
| iT = iminus6 ),
inference(cnf_transformation,[],[f20]) ).
fof(f172,plain,
( iplus4 = iT
| iT = iminus9
| iplus3 = iT ),
inference(cnf_transformation,[],[f24]) ).
fof(f173,plain,
( iplus1 = iT
| iT = iminus6
| iT = iminus9 ),
inference(cnf_transformation,[],[f25]) ).
fof(f177,plain,
( iplus4 = iT
| iplus7 = iT
| iplus1 = iT ),
inference(cnf_transformation,[],[f29]) ).
fof(f179,plain,
( iplus4 = iT
| iT = iplus6
| iT = iminus8 ),
inference(cnf_transformation,[],[f31]) ).
fof(f181,plain,
( iminus7 = iT
| iminus2 = iT
| iT = iplus6 ),
inference(cnf_transformation,[],[f33]) ).
fof(f185,plain,
( iminus4 = iT
| iplus2 = iT
| iT = iplus8 ),
inference(cnf_transformation,[],[f37]) ).
fof(f190,plain,
( iminus7 = iT
| iminus3 = iT
| iminus4 = iT ),
inference(cnf_transformation,[],[f42]) ).
fof(f191,plain,
( iminus1 = iT
| iplus4 = iT
| iplus2 = iT ),
inference(cnf_transformation,[],[f43]) ).
fof(f194,plain,
( iminus4 = iT
| iT = iminus9
| iT = iminus8 ),
inference(cnf_transformation,[],[f46]) ).
fof(f196,plain,
( iminus3 = iT
| iplus2 = iT
| iT = iplus8 ),
inference(cnf_transformation,[],[f48]) ).
fof(f197,plain,
( iT = iplus9
| iT = iminus8
| iplus3 = iT ),
inference(cnf_transformation,[],[f49]) ).
fof(f198,plain,
( iminus7 = iT
| iplus3 = iT
| iT = iplus8 ),
inference(cnf_transformation,[],[f50]) ).
fof(f202,plain,
( iplus7 = iT
| iminus2 = iT
| iT = iminus9 ),
inference(cnf_transformation,[],[f54]) ).
fof(f205,plain,
( iT = iplus9
| iminus2 = iT
| iT = iplus6 ),
inference(cnf_transformation,[],[f57]) ).
fof(f210,plain,
( iplus4 = iT
| iminus2 = iT
| iT = iminus6 ),
inference(cnf_transformation,[],[f62]) ).
fof(f212,plain,
( iT = iplus9
| iplus7 = iT
| iminus4 = iT ),
inference(cnf_transformation,[],[f64]) ).
fof(f231,plain,
iT != iF,
inference(cnf_transformation,[],[f83]) ).
fof(f249,plain,
cTorF(iF),
inference(equality_resolution,[],[f156]) ).
cnf(c_55,plain,
( ~ cTorF(X0)
| X0 = iminus1
| X0 = iplus1 ),
inference(cnf_transformation,[],[f136]) ).
cnf(c_58,plain,
( ~ cTorF(X0)
| X0 = iplus4
| X0 = iminus4 ),
inference(cnf_transformation,[],[f139]) ).
cnf(c_61,plain,
( ~ cTorF(X0)
| X0 = iminus2
| X0 = iplus2 ),
inference(cnf_transformation,[],[f142]) ).
cnf(c_64,plain,
( ~ cTorF(X0)
| X0 = iminus7
| X0 = iplus7 ),
inference(cnf_transformation,[],[f145]) ).
cnf(c_70,plain,
( ~ cTorF(X0)
| X0 = iminus3
| X0 = iplus3 ),
inference(cnf_transformation,[],[f151]) ).
cnf(c_71,plain,
cTorF(iF),
inference(cnf_transformation,[],[f249]) ).
cnf(c_76,plain,
( ~ cTorF(X0)
| X0 = iminus8
| X0 = iplus8 ),
inference(cnf_transformation,[],[f157]) ).
cnf(c_79,plain,
( ~ cTorF(X0)
| X0 = iplus6
| X0 = iminus6 ),
inference(cnf_transformation,[],[f160]) ).
cnf(c_82,plain,
( ~ cTorF(X0)
| X0 = iplus9
| X0 = iminus9 ),
inference(cnf_transformation,[],[f163]) ).
cnf(c_85,plain,
( iminus7 = iT
| iT = iminus6
| iT = iplus9 ),
inference(cnf_transformation,[],[f168]) ).
cnf(c_89,plain,
( iplus4 = iT
| iplus3 = iT
| iT = iminus9 ),
inference(cnf_transformation,[],[f172]) ).
cnf(c_90,plain,
( iplus1 = iT
| iT = iminus6
| iT = iminus9 ),
inference(cnf_transformation,[],[f173]) ).
cnf(c_94,plain,
( iplus1 = iT
| iplus4 = iT
| iplus7 = iT ),
inference(cnf_transformation,[],[f177]) ).
cnf(c_96,plain,
( iplus4 = iT
| iT = iminus8
| iT = iplus6 ),
inference(cnf_transformation,[],[f179]) ).
cnf(c_98,plain,
( iminus2 = iT
| iminus7 = iT
| iT = iplus6 ),
inference(cnf_transformation,[],[f181]) ).
cnf(c_102,plain,
( iminus4 = iT
| iplus2 = iT
| iT = iplus8 ),
inference(cnf_transformation,[],[f185]) ).
cnf(c_107,plain,
( iminus4 = iT
| iminus7 = iT
| iminus3 = iT ),
inference(cnf_transformation,[],[f190]) ).
cnf(c_108,plain,
( iminus1 = iT
| iplus4 = iT
| iplus2 = iT ),
inference(cnf_transformation,[],[f191]) ).
cnf(c_111,plain,
( iminus4 = iT
| iT = iminus8
| iT = iminus9 ),
inference(cnf_transformation,[],[f194]) ).
cnf(c_113,plain,
( iplus2 = iT
| iminus3 = iT
| iT = iplus8 ),
inference(cnf_transformation,[],[f196]) ).
cnf(c_114,plain,
( iplus3 = iT
| iT = iminus8
| iT = iplus9 ),
inference(cnf_transformation,[],[f197]) ).
cnf(c_115,plain,
( iminus7 = iT
| iplus3 = iT
| iT = iplus8 ),
inference(cnf_transformation,[],[f198]) ).
cnf(c_119,plain,
( iminus2 = iT
| iplus7 = iT
| iT = iminus9 ),
inference(cnf_transformation,[],[f202]) ).
cnf(c_122,plain,
( iminus2 = iT
| iT = iplus6
| iT = iplus9 ),
inference(cnf_transformation,[],[f205]) ).
cnf(c_127,plain,
( iplus4 = iT
| iminus2 = iT
| iT = iminus6 ),
inference(cnf_transformation,[],[f210]) ).
cnf(c_129,plain,
( iminus4 = iT
| iplus7 = iT
| iT = iplus9 ),
inference(cnf_transformation,[],[f212]) ).
cnf(c_148,plain,
iF != iT,
inference(cnf_transformation,[],[f231]) ).
cnf(c_1390,plain,
( X0 != iF
| X0 = iplus9
| X0 = iminus9 ),
inference(resolution_lifted,[status(thm)],[c_82,c_71]) ).
cnf(c_1391,plain,
( iF = iplus9
| iF = iminus9 ),
inference(unflattening,[status(thm)],[c_1390]) ).
cnf(c_1398,plain,
( X0 != iF
| X0 = iplus6
| X0 = iminus6 ),
inference(resolution_lifted,[status(thm)],[c_79,c_71]) ).
cnf(c_1399,plain,
( iF = iplus6
| iF = iminus6 ),
inference(unflattening,[status(thm)],[c_1398]) ).
cnf(c_1406,plain,
( X0 != iF
| X0 = iminus8
| X0 = iplus8 ),
inference(resolution_lifted,[status(thm)],[c_76,c_71]) ).
cnf(c_1407,plain,
( iF = iminus8
| iF = iplus8 ),
inference(unflattening,[status(thm)],[c_1406]) ).
cnf(c_1416,plain,
( X0 != iF
| X0 = iminus3
| X0 = iplus3 ),
inference(resolution_lifted,[status(thm)],[c_70,c_71]) ).
cnf(c_1417,plain,
( iF = iminus3
| iF = iplus3 ),
inference(unflattening,[status(thm)],[c_1416]) ).
cnf(c_1432,plain,
( X0 != iF
| X0 = iminus7
| X0 = iplus7 ),
inference(resolution_lifted,[status(thm)],[c_64,c_71]) ).
cnf(c_1433,plain,
( iF = iminus7
| iF = iplus7 ),
inference(unflattening,[status(thm)],[c_1432]) ).
cnf(c_1440,plain,
( X0 != iF
| X0 = iminus2
| X0 = iplus2 ),
inference(resolution_lifted,[status(thm)],[c_61,c_71]) ).
cnf(c_1441,plain,
( iF = iminus2
| iF = iplus2 ),
inference(unflattening,[status(thm)],[c_1440]) ).
cnf(c_1448,plain,
( X0 != iF
| X0 = iplus4
| X0 = iminus4 ),
inference(resolution_lifted,[status(thm)],[c_58,c_71]) ).
cnf(c_1449,plain,
( iF = iplus4
| iF = iminus4 ),
inference(unflattening,[status(thm)],[c_1448]) ).
cnf(c_1456,plain,
( X0 != iF
| X0 = iminus1
| X0 = iplus1 ),
inference(resolution_lifted,[status(thm)],[c_55,c_71]) ).
cnf(c_1457,plain,
( iF = iminus1
| iF = iplus1 ),
inference(unflattening,[status(thm)],[c_1456]) ).
cnf(c_2342,plain,
X0 = X0,
theory(equality) ).
cnf(c_2343,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_2344,plain,
iT = iT,
inference(instantiation,[status(thm)],[c_2342]) ).
cnf(c_2345,plain,
( iF != X0
| iT != X0
| iF = iT ),
inference(instantiation,[status(thm)],[c_2343]) ).
cnf(c_2348,plain,
( X0 != X1
| iF != X1
| iF = X0 ),
inference(instantiation,[status(thm)],[c_2343]) ).
cnf(c_2349,plain,
( iF != iplus9
| iT != iplus9
| iF = iT ),
inference(instantiation,[status(thm)],[c_2345]) ).
cnf(c_2350,plain,
( iF != iplus6
| iT != iplus6
| iF = iT ),
inference(instantiation,[status(thm)],[c_2345]) ).
cnf(c_2351,plain,
( iF != iminus8
| iT != iminus8
| iF = iT ),
inference(instantiation,[status(thm)],[c_2345]) ).
cnf(c_2352,plain,
( iF != iminus3
| iT != iminus3
| iF = iT ),
inference(instantiation,[status(thm)],[c_2345]) ).
cnf(c_2354,plain,
( iF != iminus7
| iT != iminus7
| iF = iT ),
inference(instantiation,[status(thm)],[c_2345]) ).
cnf(c_2355,plain,
( iF != iminus2
| iT != iminus2
| iF = iT ),
inference(instantiation,[status(thm)],[c_2345]) ).
cnf(c_2356,plain,
( iF != iplus4
| iT != iplus4
| iF = iT ),
inference(instantiation,[status(thm)],[c_2345]) ).
cnf(c_2357,plain,
( iF != iminus1
| iT != iminus1
| iF = iT ),
inference(instantiation,[status(thm)],[c_2345]) ).
cnf(c_2379,plain,
( iminus3 != X0
| iT != X0
| iT = iminus3 ),
inference(instantiation,[status(thm)],[c_2343]) ).
cnf(c_2380,plain,
( iminus3 != iT
| iT != iT
| iT = iminus3 ),
inference(instantiation,[status(thm)],[c_2379]) ).
cnf(c_2383,plain,
( iminus7 != X0
| iT != X0
| iT = iminus7 ),
inference(instantiation,[status(thm)],[c_2343]) ).
cnf(c_2384,plain,
( iminus7 != iT
| iT != iT
| iT = iminus7 ),
inference(instantiation,[status(thm)],[c_2383]) ).
cnf(c_2385,plain,
( iminus2 != X0
| iT != X0
| iT = iminus2 ),
inference(instantiation,[status(thm)],[c_2343]) ).
cnf(c_2386,plain,
( iminus2 != iT
| iT != iT
| iT = iminus2 ),
inference(instantiation,[status(thm)],[c_2385]) ).
cnf(c_2387,plain,
( iplus4 != X0
| iT != X0
| iT = iplus4 ),
inference(instantiation,[status(thm)],[c_2343]) ).
cnf(c_2388,plain,
( iplus4 != iT
| iT != iT
| iT = iplus4 ),
inference(instantiation,[status(thm)],[c_2387]) ).
cnf(c_2389,plain,
( iminus1 != X0
| iT != X0
| iT = iminus1 ),
inference(instantiation,[status(thm)],[c_2343]) ).
cnf(c_2390,plain,
( iminus1 != iT
| iT != iT
| iT = iminus1 ),
inference(instantiation,[status(thm)],[c_2389]) ).
cnf(c_2630,plain,
( iF != iplus8
| iT != iplus8
| iF = iT ),
inference(instantiation,[status(thm)],[c_2345]) ).
cnf(c_2647,plain,
( iF != iminus6
| iT != iminus6
| iF = iT ),
inference(instantiation,[status(thm)],[c_2345]) ).
cnf(c_2663,plain,
( X0 != X1
| iminus2 != X1
| iminus2 = X0 ),
inference(instantiation,[status(thm)],[c_2343]) ).
cnf(c_2675,plain,
( X0 != X1
| iplus4 != X1
| iplus4 = X0 ),
inference(instantiation,[status(thm)],[c_2343]) ).
cnf(c_2722,plain,
( iF != iplus1
| iT != iplus1
| iF = iT ),
inference(instantiation,[status(thm)],[c_2345]) ).
cnf(c_2726,plain,
( iF != iminus4
| iT != iminus4
| iF = iT ),
inference(instantiation,[status(thm)],[c_2345]) ).
cnf(c_2727,plain,
( X0 != iminus4
| iF != iminus4
| iF = X0 ),
inference(instantiation,[status(thm)],[c_2348]) ).
cnf(c_2730,plain,
( iF != iplus2
| iT != iplus2
| iF = iT ),
inference(instantiation,[status(thm)],[c_2345]) ).
cnf(c_2731,plain,
( X0 != iplus2
| iF != iplus2
| iF = X0 ),
inference(instantiation,[status(thm)],[c_2348]) ).
cnf(c_2734,plain,
( iF != iplus7
| iT != iplus7
| iF = iT ),
inference(instantiation,[status(thm)],[c_2345]) ).
cnf(c_2742,plain,
( iF != iplus3
| iT != iplus3
| iF = iT ),
inference(instantiation,[status(thm)],[c_2345]) ).
cnf(c_2812,plain,
( iF != iminus9
| iT != iminus9
| iF = iT ),
inference(instantiation,[status(thm)],[c_2345]) ).
cnf(c_3797,plain,
( iplus1 != X0
| iT != X0
| iT = iplus1 ),
inference(instantiation,[status(thm)],[c_2343]) ).
cnf(c_3798,plain,
( iplus1 != iT
| iT != iT
| iT = iplus1 ),
inference(instantiation,[status(thm)],[c_3797]) ).
cnf(c_3826,plain,
( iminus4 != X0
| iT != X0
| iT = iminus4 ),
inference(instantiation,[status(thm)],[c_2343]) ).
cnf(c_3827,plain,
( iminus4 != iT
| iT != iT
| iT = iminus4 ),
inference(instantiation,[status(thm)],[c_3826]) ).
cnf(c_3832,plain,
( iplus4 != iminus4
| iF != iminus4
| iF = iplus4 ),
inference(instantiation,[status(thm)],[c_2727]) ).
cnf(c_3833,plain,
( iplus4 != X0
| iminus4 != X0
| iplus4 = iminus4 ),
inference(instantiation,[status(thm)],[c_2675]) ).
cnf(c_3834,plain,
( iplus4 != iT
| iminus4 != iT
| iplus4 = iminus4 ),
inference(instantiation,[status(thm)],[c_3833]) ).
cnf(c_3855,plain,
( iplus2 != X0
| iT != X0
| iT = iplus2 ),
inference(instantiation,[status(thm)],[c_2343]) ).
cnf(c_3856,plain,
( iplus2 != iT
| iT != iT
| iT = iplus2 ),
inference(instantiation,[status(thm)],[c_3855]) ).
cnf(c_3864,plain,
( iminus2 != iplus2
| iF != iplus2
| iF = iminus2 ),
inference(instantiation,[status(thm)],[c_2731]) ).
cnf(c_3865,plain,
( iminus2 != X0
| iplus2 != X0
| iminus2 = iplus2 ),
inference(instantiation,[status(thm)],[c_2663]) ).
cnf(c_3866,plain,
( iminus2 != iT
| iplus2 != iT
| iminus2 = iplus2 ),
inference(instantiation,[status(thm)],[c_3865]) ).
cnf(c_3884,plain,
( iplus7 != X0
| iT != X0
| iT = iplus7 ),
inference(instantiation,[status(thm)],[c_2343]) ).
cnf(c_3885,plain,
( iplus7 != iT
| iT != iT
| iT = iplus7 ),
inference(instantiation,[status(thm)],[c_3884]) ).
cnf(c_3942,plain,
( iplus3 != X0
| iT != X0
| iT = iplus3 ),
inference(instantiation,[status(thm)],[c_2343]) ).
cnf(c_3943,plain,
( iplus3 != iT
| iT != iT
| iT = iplus3 ),
inference(instantiation,[status(thm)],[c_3942]) ).
cnf(c_4012,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3943,c_3885,c_3866,c_3864,c_3856,c_3834,c_3832,c_3827,c_3798,c_2812,c_2742,c_2734,c_2730,c_2726,c_2722,c_2647,c_2630,c_2390,c_2388,c_2386,c_2384,c_2380,c_2357,c_2356,c_2355,c_2354,c_2352,c_2351,c_2350,c_2349,c_2344,c_1457,c_1449,c_1441,c_1433,c_1417,c_1407,c_1399,c_1391,c_85,c_89,c_90,c_94,c_96,c_98,c_102,c_107,c_108,c_111,c_113,c_114,c_115,c_119,c_122,c_127,c_129,c_148]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KRS102+1 : TPTP v8.1.2. Released v3.1.0.
% 0.04/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 2 22:47:05 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.37/1.16 % SZS status Started for theBenchmark.p
% 2.37/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 2.37/1.16
% 2.37/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.37/1.16
% 2.37/1.16 ------ iProver source info
% 2.37/1.16
% 2.37/1.16 git: date: 2024-05-02 19:28:25 +0000
% 2.37/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.37/1.16 git: non_committed_changes: false
% 2.37/1.16
% 2.37/1.16 ------ Parsing...
% 2.37/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Option_epr_non_horn_eq
% 2.37/1.16
% 2.37/1.16
% 2.37/1.16 ------ Preprocessing... sup_sim: 20 sf_s rm: 5 0s sf_e pe_s pe:1:0s pe_e
% 2.37/1.16
% 2.37/1.16 ------ Preprocessing...------ preprocesses with Option_epr_non_horn_eq
% 2.37/1.16 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e ------ preprocesses with Option_epr_non_horn_eq
% 2.37/1.16
% 2.37/1.16
% 2.37/1.16 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.37/1.16 ------ Proving...
% 2.37/1.16 ------ Problem Properties
% 2.37/1.16
% 2.37/1.16
% 2.37/1.16 clauses 226
% 2.37/1.16 conjectures 0
% 2.37/1.16 EPR 226
% 2.37/1.16 Horn 1
% 2.37/1.16 unary 1
% 2.37/1.16 binary 180
% 2.37/1.16 lits 496
% 2.37/1.16 lits eq 496
% 2.37/1.16 fd_pure 0
% 2.37/1.16 fd_pseudo 0
% 2.37/1.16 fd_cond 0
% 2.37/1.16 fd_pseudo_cond 0
% 2.37/1.16 AC symbols 0
% 2.37/1.16
% 2.37/1.16 ------ Schedule EPR non Horn eq is on
% 2.37/1.16
% 2.37/1.16 ------ no conjectures: strip conj schedule
% 2.37/1.16
% 2.37/1.16 ------ Option_epr_non_horn_eq stripped conjectures Time Limit: Unbounded
% 2.37/1.16
% 2.37/1.16
% 2.37/1.16 ------
% 2.37/1.16 Current options:
% 2.37/1.16 ------
% 2.37/1.16
% 2.37/1.16
% 2.37/1.16
% 2.37/1.16
% 2.37/1.16 ------ Proving...
% 2.37/1.16
% 2.37/1.16
% 2.37/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 2.37/1.16
% 2.37/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.37/1.16
% 2.37/1.16
%------------------------------------------------------------------------------