%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS102+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:54:09 PM UTC 2026
% Result : Unsatisfiable 2.15s 1.27s
% Output : CNFRefutation 2.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 27
% Syntax : Number of formulae : 179 ( 8 unt; 0 def)
% Number of atoms : 565 ( 494 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 590 ( 204 ~; 341 |; 36 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 : 82 ( 0 sgn 82 !; 0 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0] :
( cTorF(X0)
<=> ( X0 = iplus4
| X0 = iminus4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f10,axiom,
! [X0] :
( cTorF(X0)
<=> ( X0 = iminus2
| X0 = iplus2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f11,axiom,
! [X0] :
( cTorF(X0)
<=> ( X0 = iminus7
| X0 = iplus7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f12,axiom,
! [X0] :
( cTorF(X0)
<=> ( X0 = iminus5
| X0 = iplus5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f13,axiom,
! [X0] :
( cTorF(X0)
<=> ( X0 = iminus3
| X0 = iplus3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f14,axiom,
! [X0] :
( cTorF(X0)
<=> ( X0 = iF
| X0 = iT ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f15,axiom,
! [X0] :
( cTorF(X0)
<=> ( X0 = iminus8
| X0 = iplus8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f16,axiom,
! [X0] :
( cTorF(X0)
<=> ( X0 = iplus6
| X0 = iminus6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f17,axiom,
! [X0] :
( cTorF(X0)
<=> ( X0 = iplus9
| X0 = iminus9 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f20,axiom,
( iT = iminus7
| iT = iplus9
| iT = iminus6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f21,axiom,
( iT = iplus7
| iT = iminus3
| iT = iplus8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f24,axiom,
( iT = iplus4
| iT = iminus9
| iT = iplus3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
fof(f32,axiom,
( iT = iminus2
| iT = iminus9
| iT = iplus3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
fof(f33,axiom,
( iT = iminus7
| iT = iminus2
| iT = iplus6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).
fof(f37,axiom,
( iT = iminus4
| iT = iplus2
| iT = iplus8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).
fof(f42,axiom,
( iT = iminus7
| iT = iminus3
| iT = iminus4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_36) ).
fof(f46,axiom,
( iT = iminus4
| iT = iminus9
| iT = iminus8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_40) ).
fof(f48,axiom,
( iT = iminus3
| iT = iplus2
| iT = iplus8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_42) ).
fof(f49,axiom,
( iT = iplus9
| iT = iminus8
| iT = iplus3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_43) ).
fof(f51,axiom,
( iT = iminus3
| iT = iminus8
| iT = iminus5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_45) ).
fof(f52,axiom,
( iT = iplus4
| iT = iplus9
| iT = iplus3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_46) ).
fof(f55,axiom,
( iT = iminus3
| iT = iminus8
| iT = iplus5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_49) ).
fof(f57,axiom,
( iT = iplus9
| iT = iminus2
| iT = iplus6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_51) ).
fof(f62,axiom,
( iT = iplus4
| iT = iminus2
| iT = iminus6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_56) ).
fof(f64,axiom,
( iT = iplus9
| iT = iplus7
| iT = iminus4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_58) ).
fof(f83,axiom,
iT != iF,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_77) ).
fof(f97,plain,
! [X0] :
( ( ~ cTorF(X0)
| X0 = iplus4
| X0 = iminus4 )
& ( ( iplus4 != X0
& iminus4 != X0 )
| cTorF(X0) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f98,plain,
! [X0] :
( ( ~ cTorF(X0)
| X0 = iplus4
| X0 = iminus4 )
& ( ( iplus4 != X0
& iminus4 != X0 )
| cTorF(X0) ) ),
inference(flattening,[],[f97]) ).
fof(f99,plain,
! [X0] :
( ( ~ cTorF(X0)
| X0 = iminus2
| X0 = iplus2 )
& ( ( iminus2 != X0
& iplus2 != X0 )
| cTorF(X0) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f100,plain,
! [X0] :
( ( ~ cTorF(X0)
| X0 = iminus2
| X0 = iplus2 )
& ( ( iminus2 != X0
& iplus2 != X0 )
| cTorF(X0) ) ),
inference(flattening,[],[f99]) ).
fof(f101,plain,
! [X0] :
( ( ~ cTorF(X0)
| X0 = iminus7
| X0 = iplus7 )
& ( ( iminus7 != X0
& iplus7 != X0 )
| cTorF(X0) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f102,plain,
! [X0] :
( ( ~ cTorF(X0)
| X0 = iminus7
| X0 = iplus7 )
& ( ( iminus7 != X0
& iplus7 != X0 )
| cTorF(X0) ) ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
! [X0] :
( ( ~ cTorF(X0)
| X0 = iminus5
| X0 = iplus5 )
& ( ( iminus5 != X0
& iplus5 != X0 )
| cTorF(X0) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f104,plain,
! [X0] :
( ( ~ cTorF(X0)
| X0 = iminus5
| X0 = iplus5 )
& ( ( iminus5 != X0
& iplus5 != X0 )
| cTorF(X0) ) ),
inference(flattening,[],[f103]) ).
fof(f105,plain,
! [X0] :
( ( ~ cTorF(X0)
| X0 = iminus3
| X0 = iplus3 )
& ( ( iminus3 != X0
& iplus3 != X0 )
| cTorF(X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f106,plain,
! [X0] :
( ( ~ cTorF(X0)
| X0 = iminus3
| X0 = iplus3 )
& ( ( iminus3 != X0
& iplus3 != X0 )
| cTorF(X0) ) ),
inference(flattening,[],[f105]) ).
fof(f107,plain,
! [X0] :
( ( ~ cTorF(X0)
| X0 = iF
| X0 = iT )
& ( ( iF != X0
& iT != X0 )
| cTorF(X0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f108,plain,
! [X0] :
( ( ~ cTorF(X0)
| X0 = iF
| X0 = iT )
& ( ( iF != X0
& iT != X0 )
| cTorF(X0) ) ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [X0] :
( ( ~ cTorF(X0)
| X0 = iminus8
| X0 = iplus8 )
& ( ( iminus8 != X0
& iplus8 != X0 )
| cTorF(X0) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f110,plain,
! [X0] :
( ( ~ cTorF(X0)
| X0 = iminus8
| X0 = iplus8 )
& ( ( iminus8 != X0
& iplus8 != X0 )
| cTorF(X0) ) ),
inference(flattening,[],[f109]) ).
fof(f111,plain,
! [X0] :
( ( ~ cTorF(X0)
| X0 = iplus6
| X0 = iminus6 )
& ( ( iplus6 != X0
& iminus6 != X0 )
| cTorF(X0) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f112,plain,
! [X0] :
( ( ~ cTorF(X0)
| X0 = iplus6
| X0 = iminus6 )
& ( ( iplus6 != X0
& iminus6 != X0 )
| cTorF(X0) ) ),
inference(flattening,[],[f111]) ).
fof(f113,plain,
! [X0] :
( ( ~ cTorF(X0)
| X0 = iplus9
| X0 = iminus9 )
& ( ( iplus9 != X0
& iminus9 != X0 )
| cTorF(X0) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f114,plain,
! [X0] :
( ( ~ cTorF(X0)
| X0 = iplus9
| X0 = iminus9 )
& ( ( iplus9 != X0
& iminus9 != X0 )
| cTorF(X0) ) ),
inference(flattening,[],[f113]) ).
fof(f127,plain,
! [X0] :
( ~ cTorF(X0)
| iplus4 = X0
| iminus4 = X0 ),
inference(cnf_transformation,[],[f98]) ).
fof(f130,plain,
! [X0] :
( ~ cTorF(X0)
| iminus2 = X0
| iplus2 = X0 ),
inference(cnf_transformation,[],[f100]) ).
fof(f133,plain,
! [X0] :
( ~ cTorF(X0)
| iminus7 = X0
| iplus7 = X0 ),
inference(cnf_transformation,[],[f102]) ).
fof(f136,plain,
! [X0] :
( ~ cTorF(X0)
| iminus5 = X0
| iplus5 = X0 ),
inference(cnf_transformation,[],[f104]) ).
fof(f139,plain,
! [X0] :
( ~ cTorF(X0)
| iminus3 = X0
| iplus3 = X0 ),
inference(cnf_transformation,[],[f106]) ).
fof(f142,plain,
! [X0] :
( ~ cTorF(X0)
| iF = X0
| iT = X0 ),
inference(cnf_transformation,[],[f108]) ).
fof(f143,plain,
! [X0] :
( iF != X0
| cTorF(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f144,plain,
! [X0] :
( iT != X0
| cTorF(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f145,plain,
! [X0] :
( ~ cTorF(X0)
| iminus8 = X0
| iplus8 = X0 ),
inference(cnf_transformation,[],[f110]) ).
fof(f148,plain,
! [X0] :
( ~ cTorF(X0)
| iplus6 = X0
| iminus6 = X0 ),
inference(cnf_transformation,[],[f112]) ).
fof(f151,plain,
! [X0] :
( ~ cTorF(X0)
| iplus9 = X0
| iminus9 = X0 ),
inference(cnf_transformation,[],[f114]) ).
fof(f156,plain,
( iminus7 = iT
| iT = iplus9
| iT = iminus6 ),
inference(cnf_transformation,[],[f20]) ).
fof(f157,plain,
( iplus7 = iT
| iminus3 = iT
| iT = iplus8 ),
inference(cnf_transformation,[],[f21]) ).
fof(f160,plain,
( iplus4 = iT
| iT = iminus9
| iplus3 = iT ),
inference(cnf_transformation,[],[f24]) ).
fof(f168,plain,
( iminus2 = iT
| iT = iminus9
| iplus3 = iT ),
inference(cnf_transformation,[],[f32]) ).
fof(f169,plain,
( iminus7 = iT
| iminus2 = iT
| iT = iplus6 ),
inference(cnf_transformation,[],[f33]) ).
fof(f173,plain,
( iminus4 = iT
| iplus2 = iT
| iT = iplus8 ),
inference(cnf_transformation,[],[f37]) ).
fof(f178,plain,
( iminus7 = iT
| iminus3 = iT
| iminus4 = iT ),
inference(cnf_transformation,[],[f42]) ).
fof(f182,plain,
( iminus4 = iT
| iT = iminus9
| iT = iminus8 ),
inference(cnf_transformation,[],[f46]) ).
fof(f184,plain,
( iminus3 = iT
| iplus2 = iT
| iT = iplus8 ),
inference(cnf_transformation,[],[f48]) ).
fof(f185,plain,
( iT = iplus9
| iT = iminus8
| iplus3 = iT ),
inference(cnf_transformation,[],[f49]) ).
fof(f187,plain,
( iminus3 = iT
| iT = iminus8
| iminus5 = iT ),
inference(cnf_transformation,[],[f51]) ).
fof(f188,plain,
( iplus4 = iT
| iT = iplus9
| iplus3 = iT ),
inference(cnf_transformation,[],[f52]) ).
fof(f191,plain,
( iminus3 = iT
| iT = iminus8
| iplus5 = iT ),
inference(cnf_transformation,[],[f55]) ).
fof(f193,plain,
( iT = iplus9
| iminus2 = iT
| iT = iplus6 ),
inference(cnf_transformation,[],[f57]) ).
fof(f198,plain,
( iplus4 = iT
| iminus2 = iT
| iT = iminus6 ),
inference(cnf_transformation,[],[f62]) ).
fof(f200,plain,
( iT = iplus9
| iplus7 = iT
| iminus4 = iT ),
inference(cnf_transformation,[],[f64]) ).
fof(f219,plain,
iT != iF,
inference(cnf_transformation,[],[f83]) ).
fof(f237,plain,
cTorF(iT),
inference(equality_resolution,[],[f144]) ).
fof(f238,plain,
cTorF(iF),
inference(equality_resolution,[],[f143]) ).
tcf(c_58,plain,
! [X0: $i] :
( ( X0 = iplus4 )
| ( X0 = iminus4 )
| ~ cTorF(X0) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_61,plain,
! [X0: $i] :
( ( X0 = iminus2 )
| ( X0 = iplus2 )
| ~ cTorF(X0) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_64,plain,
! [X0: $i] :
( ( X0 = iminus7 )
| ( X0 = iplus7 )
| ~ cTorF(X0) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_67,plain,
! [X0: $i] :
( ( X0 = iminus5 )
| ( X0 = iplus5 )
| ~ cTorF(X0) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_70,plain,
! [X0: $i] :
( ( X0 = iminus3 )
| ( X0 = iplus3 )
| ~ cTorF(X0) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_71,plain,
cTorF(iT),
inference(cnf_transformation,[],[f237]) ).
tcf(c_72,plain,
cTorF(iF),
inference(cnf_transformation,[],[f238]) ).
tcf(c_73,plain,
! [X0: $i] :
( ( X0 = iF )
| ( X0 = iT )
| ~ cTorF(X0) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_76,plain,
! [X0: $i] :
( ( X0 = iminus8 )
| ( X0 = iplus8 )
| ~ cTorF(X0) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_79,plain,
! [X0: $i] :
( ( X0 = iplus6 )
| ( X0 = iminus6 )
| ~ cTorF(X0) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_82,plain,
! [X0: $i] :
( ( X0 = iplus9 )
| ( X0 = iminus9 )
| ~ cTorF(X0) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_85,plain,
( ( iT = iplus9 )
| ( iT = iminus6 )
| ( iminus7 = iT ) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_86,plain,
( ( iT = iplus8 )
| ( iminus3 = iT )
| ( iplus7 = iT ) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_89,plain,
( ( iT = iminus9 )
| ( iplus3 = iT )
| ( iplus4 = iT ) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_97,plain,
( ( iT = iminus9 )
| ( iplus3 = iT )
| ( iminus2 = iT ) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_98,plain,
( ( iT = iplus6 )
| ( iminus7 = iT )
| ( iminus2 = iT ) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_102,plain,
( ( iT = iplus8 )
| ( iplus2 = iT )
| ( iminus4 = iT ) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_107,plain,
( ( iminus3 = iT )
| ( iminus7 = iT )
| ( iminus4 = iT ) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_111,plain,
( ( iT = iminus9 )
| ( iT = iminus8 )
| ( iminus4 = iT ) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_113,plain,
( ( iT = iplus8 )
| ( iminus3 = iT )
| ( iplus2 = iT ) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_114,plain,
( ( iT = iplus9 )
| ( iT = iminus8 )
| ( iplus3 = iT ) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_116,plain,
( ( iT = iminus8 )
| ( iminus3 = iT )
| ( iminus5 = iT ) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_117,plain,
( ( iT = iplus9 )
| ( iplus3 = iT )
| ( iplus4 = iT ) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_120,plain,
( ( iT = iminus8 )
| ( iminus3 = iT )
| ( iplus5 = iT ) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_122,plain,
( ( iT = iplus9 )
| ( iT = iplus6 )
| ( iminus2 = iT ) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_127,plain,
( ( iT = iminus6 )
| ( iminus2 = iT )
| ( iplus4 = iT ) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_129,plain,
( ( iT = iplus9 )
| ( iplus7 = iT )
| ( iminus4 = iT ) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_148,plain,
iT != iF,
inference(cnf_transformation,[],[f219]) ).
tcf(c_155,plain,
( ( iT = iF )
| ( iT = iT )
| ~ cTorF(iT) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_1464,plain,
! [X0: $i] :
( ( X0 = iplus9 )
| ( X0 = iminus9 )
| ( X0 != iF ) ),
inference(resolution_lifted,[status(thm)],[c_82,c_72]) ).
tcf(c_1465,plain,
( ( iF = iplus9 )
| ( iF = iminus9 ) ),
inference(unflattening,[status(thm)],[c_1464]) ).
tcf(c_1472,plain,
! [X0: $i] :
( ( X0 = iplus6 )
| ( X0 = iminus6 )
| ( X0 != iF ) ),
inference(resolution_lifted,[status(thm)],[c_79,c_72]) ).
tcf(c_1473,plain,
( ( iF = iplus6 )
| ( iF = iminus6 ) ),
inference(unflattening,[status(thm)],[c_1472]) ).
tcf(c_1480,plain,
! [X0: $i] :
( ( X0 = iminus8 )
| ( X0 = iplus8 )
| ( X0 != iF ) ),
inference(resolution_lifted,[status(thm)],[c_76,c_72]) ).
tcf(c_1481,plain,
( ( iF = iminus8 )
| ( iF = iplus8 ) ),
inference(unflattening,[status(thm)],[c_1480]) ).
tcf(c_1490,plain,
! [X0: $i] :
( ( X0 = iminus3 )
| ( X0 = iplus3 )
| ( X0 != iF ) ),
inference(resolution_lifted,[status(thm)],[c_70,c_72]) ).
tcf(c_1491,plain,
( ( iF = iminus3 )
| ( iF = iplus3 ) ),
inference(unflattening,[status(thm)],[c_1490]) ).
tcf(c_1498,plain,
! [X0: $i] :
( ( X0 = iminus5 )
| ( X0 = iplus5 )
| ( X0 != iF ) ),
inference(resolution_lifted,[status(thm)],[c_67,c_72]) ).
tcf(c_1499,plain,
( ( iF = iminus5 )
| ( iF = iplus5 ) ),
inference(unflattening,[status(thm)],[c_1498]) ).
tcf(c_1506,plain,
! [X0: $i] :
( ( X0 = iminus7 )
| ( X0 = iplus7 )
| ( X0 != iF ) ),
inference(resolution_lifted,[status(thm)],[c_64,c_72]) ).
tcf(c_1507,plain,
( ( iF = iminus7 )
| ( iF = iplus7 ) ),
inference(unflattening,[status(thm)],[c_1506]) ).
tcf(c_1514,plain,
! [X0: $i] :
( ( X0 = iminus2 )
| ( X0 = iplus2 )
| ( X0 != iF ) ),
inference(resolution_lifted,[status(thm)],[c_61,c_72]) ).
tcf(c_1515,plain,
( ( iF = iminus2 )
| ( iF = iplus2 ) ),
inference(unflattening,[status(thm)],[c_1514]) ).
tcf(c_1522,plain,
! [X0: $i] :
( ( X0 = iplus4 )
| ( X0 = iminus4 )
| ( X0 != iF ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_72]) ).
tcf(c_1523,plain,
( ( iF = iplus4 )
| ( iF = iminus4 ) ),
inference(unflattening,[status(thm)],[c_1522]) ).
tcf(c_2343,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_2345,plain,
! [X0: $i] :
( ( iT = iF )
| ( iF != X0 )
| ( iT != X0 ) ),
inference(instantiation,[status(thm)],[c_2343]) ).
tcf(c_2346,plain,
( ( iT = iF )
| ( iF != iT )
| ( iT != iT ) ),
inference(instantiation,[status(thm)],[c_2345]) ).
tcf(c_2348,plain,
! [X0: $i,X1: $i] :
( ( iF = X0 )
| ( iF != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_2343]) ).
tcf(c_2349,plain,
( ( iT = iF )
| ( iF != iminus9 )
| ( iT != iminus9 ) ),
inference(instantiation,[status(thm)],[c_2345]) ).
tcf(c_2351,plain,
( ( iT = iF )
| ( iF != iplus8 )
| ( iT != iplus8 ) ),
inference(instantiation,[status(thm)],[c_2345]) ).
tcf(c_2352,plain,
( ( iT = iF )
| ( iF != iplus3 )
| ( iT != iplus3 ) ),
inference(instantiation,[status(thm)],[c_2345]) ).
tcf(c_2353,plain,
( ( iT = iF )
| ( iF != iplus5 )
| ( iT != iplus5 ) ),
inference(instantiation,[status(thm)],[c_2345]) ).
tcf(c_2354,plain,
( ( iT = iF )
| ( iF != iplus7 )
| ( iT != iplus7 ) ),
inference(instantiation,[status(thm)],[c_2345]) ).
tcf(c_2355,plain,
( ( iT = iF )
| ( iF != iplus2 )
| ( iT != iplus2 ) ),
inference(instantiation,[status(thm)],[c_2345]) ).
tcf(c_2356,plain,
( ( iT = iF )
| ( iF != iminus4 )
| ( iT != iminus4 ) ),
inference(instantiation,[status(thm)],[c_2345]) ).
tcf(c_2363,plain,
! [X0: $i] :
( ( iF = X0 )
| ( iF != iminus6 )
| ( X0 != iminus6 ) ),
inference(instantiation,[status(thm)],[c_2348]) ).
tcf(c_2364,plain,
( ( iF = iT )
| ( iF != iminus6 )
| ( iT != iminus6 ) ),
inference(instantiation,[status(thm)],[c_2363]) ).
tcf(c_2365,plain,
! [X0: $i] :
( ( iF = X0 )
| ( iF != iplus8 )
| ( X0 != iplus8 ) ),
inference(instantiation,[status(thm)],[c_2348]) ).
tcf(c_2366,plain,
( ( iF = iT )
| ( iF != iplus8 )
| ( iT != iplus8 ) ),
inference(instantiation,[status(thm)],[c_2365]) ).
tcf(c_2371,plain,
! [X0: $i] :
( ( iF = X0 )
| ( iF != iplus7 )
| ( X0 != iplus7 ) ),
inference(instantiation,[status(thm)],[c_2348]) ).
tcf(c_2372,plain,
( ( iF = iT )
| ( iF != iplus7 )
| ( iT != iplus7 ) ),
inference(instantiation,[status(thm)],[c_2371]) ).
tcf(c_2373,plain,
! [X0: $i] :
( ( iF = X0 )
| ( iF != iplus2 )
| ( X0 != iplus2 ) ),
inference(instantiation,[status(thm)],[c_2348]) ).
tcf(c_2374,plain,
( ( iF = iT )
| ( iF != iplus2 )
| ( iT != iplus2 ) ),
inference(instantiation,[status(thm)],[c_2373]) ).
tcf(c_2375,plain,
! [X0: $i] :
( ( iF = X0 )
| ( iF != iminus4 )
| ( X0 != iminus4 ) ),
inference(instantiation,[status(thm)],[c_2348]) ).
tcf(c_2376,plain,
( ( iF = iT )
| ( iF != iminus4 )
| ( iT != iminus4 ) ),
inference(instantiation,[status(thm)],[c_2375]) ).
tcf(c_2385,plain,
! [X0: $i] :
( ( iT = iplus3 )
| ( iT != X0 )
| ( iplus3 != X0 ) ),
inference(instantiation,[status(thm)],[c_2343]) ).
tcf(c_2386,plain,
( ( iT = iplus3 )
| ( iT != iT )
| ( iplus3 != iT ) ),
inference(instantiation,[status(thm)],[c_2385]) ).
tcf(c_2387,plain,
! [X0: $i] :
( ( iT = iplus5 )
| ( iT != X0 )
| ( iplus5 != X0 ) ),
inference(instantiation,[status(thm)],[c_2343]) ).
tcf(c_2388,plain,
( ( iT = iplus5 )
| ( iT != iT )
| ( iplus5 != iT ) ),
inference(instantiation,[status(thm)],[c_2387]) ).
tcf(c_2389,plain,
! [X0: $i] :
( ( iT = iplus7 )
| ( iT != X0 )
| ( iplus7 != X0 ) ),
inference(instantiation,[status(thm)],[c_2343]) ).
tcf(c_2390,plain,
( ( iT = iplus7 )
| ( iT != iT )
| ( iplus7 != iT ) ),
inference(instantiation,[status(thm)],[c_2389]) ).
tcf(c_2391,plain,
! [X0: $i] :
( ( iT = iplus2 )
| ( iT != X0 )
| ( iplus2 != X0 ) ),
inference(instantiation,[status(thm)],[c_2343]) ).
tcf(c_2392,plain,
( ( iT = iplus2 )
| ( iT != iT )
| ( iplus2 != iT ) ),
inference(instantiation,[status(thm)],[c_2391]) ).
tcf(c_2393,plain,
! [X0: $i] :
( ( iT = iminus4 )
| ( iT != X0 )
| ( iminus4 != X0 ) ),
inference(instantiation,[status(thm)],[c_2343]) ).
tcf(c_2394,plain,
( ( iT = iminus4 )
| ( iT != iT )
| ( iminus4 != iT ) ),
inference(instantiation,[status(thm)],[c_2393]) ).
tcf(c_2575,plain,
! [X0: $i] :
( ( iF = X0 )
| ( iF != iplus9 )
| ( X0 != iplus9 ) ),
inference(instantiation,[status(thm)],[c_2348]) ).
tcf(c_2576,plain,
( ( iF = iT )
| ( iF != iplus9 )
| ( iT != iplus9 ) ),
inference(instantiation,[status(thm)],[c_2575]) ).
tcf(c_2579,plain,
( ( iT = iF )
| ( iF != iplus6 )
| ( iT != iplus6 ) ),
inference(instantiation,[status(thm)],[c_2345]) ).
tcf(c_2584,plain,
( ( iT = iF )
| ( iF != iminus8 )
| ( iT != iminus8 ) ),
inference(instantiation,[status(thm)],[c_2345]) ).
tcf(c_2585,plain,
! [X0: $i] :
( ( iF = X0 )
| ( iF != iminus8 )
| ( X0 != iminus8 ) ),
inference(instantiation,[status(thm)],[c_2348]) ).
tcf(c_2586,plain,
( ( iF = iT )
| ( iF != iminus8 )
| ( iT != iminus8 ) ),
inference(instantiation,[status(thm)],[c_2585]) ).
tcf(c_2590,plain,
! [X0: $i] :
( ( iF = X0 )
| ( iF != iminus3 )
| ( X0 != iminus3 ) ),
inference(instantiation,[status(thm)],[c_2348]) ).
tcf(c_2591,plain,
( ( iF = iT )
| ( iF != iminus3 )
| ( iT != iminus3 ) ),
inference(instantiation,[status(thm)],[c_2590]) ).
tcf(c_2594,plain,
( ( iT = iF )
| ( iF != iminus5 )
| ( iT != iminus5 ) ),
inference(instantiation,[status(thm)],[c_2345]) ).
tcf(c_2599,plain,
( ( iT = iF )
| ( iF != iminus7 )
| ( iT != iminus7 ) ),
inference(instantiation,[status(thm)],[c_2345]) ).
tcf(c_2600,plain,
! [X0: $i] :
( ( iF = X0 )
| ( iF != iminus7 )
| ( X0 != iminus7 ) ),
inference(instantiation,[status(thm)],[c_2348]) ).
tcf(c_2601,plain,
( ( iF = iT )
| ( iF != iminus7 )
| ( iT != iminus7 ) ),
inference(instantiation,[status(thm)],[c_2600]) ).
tcf(c_2604,plain,
( ( iT = iF )
| ( iF != iminus2 )
| ( iT != iminus2 ) ),
inference(instantiation,[status(thm)],[c_2345]) ).
tcf(c_2605,plain,
! [X0: $i] :
( ( iF = X0 )
| ( iF != iminus2 )
| ( X0 != iminus2 ) ),
inference(instantiation,[status(thm)],[c_2348]) ).
tcf(c_2606,plain,
( ( iF = iT )
| ( iF != iminus2 )
| ( iT != iminus2 ) ),
inference(instantiation,[status(thm)],[c_2605]) ).
tcf(c_2609,plain,
( ( iT = iF )
| ( iF != iplus4 )
| ( iT != iplus4 ) ),
inference(instantiation,[status(thm)],[c_2345]) ).
tcf(c_2610,plain,
! [X0: $i] :
( ( iF = X0 )
| ( iF != iplus4 )
| ( X0 != iplus4 ) ),
inference(instantiation,[status(thm)],[c_2348]) ).
tcf(c_2611,plain,
( ( iF = iT )
| ( iF != iplus4 )
| ( iT != iplus4 ) ),
inference(instantiation,[status(thm)],[c_2610]) ).
tcf(c_3041,plain,
! [X0: $i] :
( ( iT = iminus3 )
| ( iT != X0 )
| ( iminus3 != X0 ) ),
inference(instantiation,[status(thm)],[c_2343]) ).
tcf(c_3042,plain,
( ( iT = iminus3 )
| ( iT != iT )
| ( iminus3 != iT ) ),
inference(instantiation,[status(thm)],[c_3041]) ).
tcf(c_3046,plain,
! [X0: $i] :
( ( iT = iminus5 )
| ( iT != X0 )
| ( iminus5 != X0 ) ),
inference(instantiation,[status(thm)],[c_2343]) ).
tcf(c_3047,plain,
( ( iT = iminus5 )
| ( iT != iT )
| ( iminus5 != iT ) ),
inference(instantiation,[status(thm)],[c_3046]) ).
tcf(c_3051,plain,
! [X0: $i] :
( ( iT = iminus7 )
| ( iT != X0 )
| ( iminus7 != X0 ) ),
inference(instantiation,[status(thm)],[c_2343]) ).
tcf(c_3052,plain,
( ( iT = iminus7 )
| ( iT != iT )
| ( iminus7 != iT ) ),
inference(instantiation,[status(thm)],[c_3051]) ).
tcf(c_3056,plain,
! [X0: $i] :
( ( iT = iminus2 )
| ( iT != X0 )
| ( iminus2 != X0 ) ),
inference(instantiation,[status(thm)],[c_2343]) ).
tcf(c_3057,plain,
( ( iT = iminus2 )
| ( iT != iT )
| ( iminus2 != iT ) ),
inference(instantiation,[status(thm)],[c_3056]) ).
tcf(c_3061,plain,
! [X0: $i] :
( ( iT = iplus4 )
| ( iT != X0 )
| ( iplus4 != X0 ) ),
inference(instantiation,[status(thm)],[c_2343]) ).
tcf(c_3062,plain,
( ( iT = iplus4 )
| ( iT != iT )
| ( iplus4 != iT ) ),
inference(instantiation,[status(thm)],[c_3061]) ).
tcf(c_3679,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3062,c_3057,c_3052,c_3047,c_3042,c_2611,c_2609,c_2606,c_2604,c_2601,c_2599,c_2594,c_2591,c_2586,c_2584,c_2579,c_2576,c_2394,c_2392,c_2390,c_2388,c_2386,c_2376,c_2374,c_2372,c_2366,c_2364,c_2356,c_2355,c_2354,c_2353,c_2352,c_2351,c_2349,c_2346,c_1523,c_1515,c_1507,c_1499,c_1491,c_1481,c_1473,c_1465,c_85,c_86,c_89,c_97,c_98,c_102,c_107,c_111,c_113,c_114,c_116,c_117,c_120,c_122,c_127,c_129,c_155,c_148,c_71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS102+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 19:27:27 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 2.15/1.27 % SZS status Started for theBenchmark.p
% 2.15/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 2.15/1.27
% 2.15/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.15/1.27
% 2.15/1.27 % ------ iProver source info
% 2.15/1.27
% 2.15/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 2.15/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.15/1.27 % git: non_committed_changes: false
% 2.15/1.27
% 2.15/1.27 % ------ Parsing...
% 2.15/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_eq
% 2.15/1.27 %
% 2.15/1.27
% 2.15/1.27 % ------ Preprocessing... sup_sim: 20 sf_s rm: 5 0s sf_e pe_s pe:1:0s pe_e %
% 2.15/1.27
% 2.15/1.27 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_eq
% 2.15/1.27 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e % ------ preprocesses with Option_epr_non_horn_eq
% 2.15/1.27 %
% 2.15/1.27
% 2.15/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.15/1.27 % ------ Proving...
% 2.15/1.27 % ------ Problem Properties
% 2.15/1.27
% 2.15/1.27 %
% 2.15/1.27 % clauses 226
% 2.15/1.27 % conjectures 0
% 2.15/1.27 % EPR 226
% 2.15/1.27 % Horn 1
% 2.15/1.27 % unary 1
% 2.15/1.27 % binary 180
% 2.15/1.27 % lits 496
% 2.15/1.27 % lits eq 496
% 2.15/1.27 % fd_pure 0
% 2.15/1.27 % fd_pseudo 0
% 2.15/1.27 % fd_cond 0
% 2.15/1.27 % fd_pseudo_cond 0
% 2.15/1.27 % AC symbols 0
% 2.15/1.27
% 2.15/1.27 % ------ Schedule EPR non Horn eq is on
% 2.15/1.27
% 2.15/1.27 % ------ no conjectures: strip conj schedule
% 2.15/1.27
% 2.15/1.27 % ------ Option_epr_non_horn_eq stripped conjectures Time Limit: Unbounded
% 2.15/1.27
% 2.15/1.27
% 2.15/1.27 % ------
% 2.15/1.27 % Current options:
% 2.15/1.27 % ------
% 2.15/1.27
% 2.15/1.27
% 2.15/1.27 %
% 2.15/1.27
% 2.15/1.27 % ------ Proving...
% 2.15/1.27 %
% 2.15/1.27
% 2.15/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 2.15/1.27
% 2.15/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.15/1.28
% 2.15/1.28
%------------------------------------------------------------------------------