%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS102+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 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 : Tue Sep 29 11:41:39 AM UTC 2026
% Result : Unsatisfiable 2.13s 1.30s
% Output : Refutation 3.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 42
% Syntax : Number of formulae : 234 ( 18 unt; 16 def)
% Number of atoms : 696 ( 296 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 717 ( 255 ~; 401 |; 36 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 17 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 18 con; 0-0 aty)
% Number of variables : 63 ( 0 sgn 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0] :
( cTorF(X0)
<=> ( X0 = iminus4
| X0 = iplus4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f10,axiom,
! [X0] :
( cTorF(X0)
<=> ( X0 = iplus2
| X0 = iminus2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f11,axiom,
! [X0] :
( cTorF(X0)
<=> ( X0 = iplus7
| X0 = iminus7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f12,axiom,
! [X0] :
( cTorF(X0)
<=> ( X0 = iplus5
| X0 = iminus5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f13,axiom,
! [X0] :
( cTorF(X0)
<=> ( X0 = iplus3
| X0 = iminus3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f14,axiom,
! [X0] :
( cTorF(X0)
<=> ( X0 = iT
| X0 = iF ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f15,axiom,
! [X0] :
( cTorF(X0)
<=> ( X0 = iplus8
| X0 = iminus8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f16,axiom,
! [X0] :
( cTorF(X0)
<=> ( X0 = iminus6
| X0 = iplus6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f17,axiom,
! [X0] :
( cTorF(X0)
<=> ( X0 = iminus9
| X0 = iplus9 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f20,axiom,
( iT = iminus6
| iT = iplus9
| iT = iminus7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f21,axiom,
( iT = iplus8
| iT = iminus3
| iT = iplus7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f22,axiom,
( iT = iplus5
| iT = iplus9
| iT = iminus7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
fof(f24,axiom,
( iT = iplus3
| iT = iminus9
| iT = iplus4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
fof(f32,axiom,
( iT = iplus3
| iT = iminus9
| iT = iminus2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
fof(f33,axiom,
( iT = iplus6
| iT = iminus2
| iT = iminus7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).
fof(f37,axiom,
( iT = iplus8
| iT = iplus2
| iT = iminus4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).
fof(f42,axiom,
( iT = iminus4
| iT = iminus3
| iT = iminus7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_36) ).
fof(f46,axiom,
( iT = iminus8
| iT = iminus9
| iT = iminus4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_40) ).
fof(f48,axiom,
( iT = iplus8
| iT = iplus2
| iT = iminus3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_42) ).
fof(f51,axiom,
( iT = iminus5
| iT = iminus8
| iT = iminus3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_45) ).
fof(f52,axiom,
( iT = iplus3
| iT = iplus9
| iT = iplus4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_46) ).
fof(f55,axiom,
( iT = iplus5
| iT = iminus8
| iT = iminus3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_49) ).
fof(f56,axiom,
( iT = iminus5
| iT = iplus2
| iT = iminus7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_50) ).
fof(f62,axiom,
( iT = iminus6
| iT = iminus2
| iT = iplus4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_56) ).
fof(f64,axiom,
( iT = iminus4
| iT = iplus7
| iT = iplus9 ),
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)
| ( iminus4 != X0
& iplus4 != X0 ) )
& ( X0 = iminus4
| X0 = iplus4
| ~ cTorF(X0) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f98,plain,
! [X0] :
( ( cTorF(X0)
| ( iminus4 != X0
& iplus4 != X0 ) )
& ( X0 = iminus4
| X0 = iplus4
| ~ cTorF(X0) ) ),
inference(flattening,[],[f97]) ).
fof(f99,plain,
! [X0] :
( ( cTorF(X0)
| ( iplus2 != X0
& iminus2 != X0 ) )
& ( X0 = iplus2
| X0 = iminus2
| ~ cTorF(X0) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f100,plain,
! [X0] :
( ( cTorF(X0)
| ( iplus2 != X0
& iminus2 != X0 ) )
& ( X0 = iplus2
| X0 = iminus2
| ~ cTorF(X0) ) ),
inference(flattening,[],[f99]) ).
fof(f101,plain,
! [X0] :
( ( cTorF(X0)
| ( iplus7 != X0
& iminus7 != X0 ) )
& ( X0 = iplus7
| X0 = iminus7
| ~ cTorF(X0) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f102,plain,
! [X0] :
( ( cTorF(X0)
| ( iplus7 != X0
& iminus7 != X0 ) )
& ( X0 = iplus7
| X0 = iminus7
| ~ cTorF(X0) ) ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
! [X0] :
( ( cTorF(X0)
| ( iplus5 != X0
& iminus5 != X0 ) )
& ( X0 = iplus5
| X0 = iminus5
| ~ cTorF(X0) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f104,plain,
! [X0] :
( ( cTorF(X0)
| ( iplus5 != X0
& iminus5 != X0 ) )
& ( X0 = iplus5
| X0 = iminus5
| ~ cTorF(X0) ) ),
inference(flattening,[],[f103]) ).
fof(f105,plain,
! [X0] :
( ( cTorF(X0)
| ( iplus3 != X0
& iminus3 != X0 ) )
& ( X0 = iplus3
| X0 = iminus3
| ~ cTorF(X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f106,plain,
! [X0] :
( ( cTorF(X0)
| ( iplus3 != X0
& iminus3 != X0 ) )
& ( X0 = iplus3
| X0 = iminus3
| ~ cTorF(X0) ) ),
inference(flattening,[],[f105]) ).
fof(f107,plain,
! [X0] :
( ( cTorF(X0)
| ( iT != X0
& iF != X0 ) )
& ( X0 = iT
| X0 = iF
| ~ cTorF(X0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f108,plain,
! [X0] :
( ( cTorF(X0)
| ( iT != X0
& iF != X0 ) )
& ( X0 = iT
| X0 = iF
| ~ cTorF(X0) ) ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [X0] :
( ( cTorF(X0)
| ( iplus8 != X0
& iminus8 != X0 ) )
& ( X0 = iplus8
| X0 = iminus8
| ~ cTorF(X0) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f110,plain,
! [X0] :
( ( cTorF(X0)
| ( iplus8 != X0
& iminus8 != X0 ) )
& ( X0 = iplus8
| X0 = iminus8
| ~ cTorF(X0) ) ),
inference(flattening,[],[f109]) ).
fof(f111,plain,
! [X0] :
( ( cTorF(X0)
| ( iminus6 != X0
& iplus6 != X0 ) )
& ( X0 = iminus6
| X0 = iplus6
| ~ cTorF(X0) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f112,plain,
! [X0] :
( ( cTorF(X0)
| ( iminus6 != X0
& iplus6 != X0 ) )
& ( X0 = iminus6
| X0 = iplus6
| ~ cTorF(X0) ) ),
inference(flattening,[],[f111]) ).
fof(f113,plain,
! [X0] :
( ( cTorF(X0)
| ( iminus9 != X0
& iplus9 != X0 ) )
& ( X0 = iminus9
| X0 = iplus9
| ~ cTorF(X0) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f114,plain,
! [X0] :
( ( cTorF(X0)
| ( iminus9 != X0
& iplus9 != X0 ) )
& ( X0 = iminus9
| X0 = iplus9
| ~ cTorF(X0) ) ),
inference(flattening,[],[f113]) ).
fof(f127,plain,
! [X0] :
( iminus4 = X0
| iplus4 = X0
| ~ cTorF(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f129,plain,
! [X0] :
( cTorF(X0)
| iminus4 != X0 ),
inference(cnf_transformation,[],[f98]) ).
fof(f130,plain,
! [X0] :
( iplus2 = X0
| iminus2 = X0
| ~ cTorF(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f133,plain,
! [X0] :
( iplus7 = X0
| iminus7 = X0
| ~ cTorF(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f134,plain,
! [X0] :
( cTorF(X0)
| iminus7 != X0 ),
inference(cnf_transformation,[],[f102]) ).
fof(f135,plain,
! [X0] :
( cTorF(X0)
| iplus7 != X0 ),
inference(cnf_transformation,[],[f102]) ).
fof(f136,plain,
! [X0] :
( iplus5 = X0
| iminus5 = X0
| ~ cTorF(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f139,plain,
! [X0] :
( iplus3 = X0
| iminus3 = X0
| ~ cTorF(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f143,plain,
! [X0] :
( cTorF(X0)
| iF != X0 ),
inference(cnf_transformation,[],[f108]) ).
fof(f145,plain,
! [X0] :
( iplus8 = X0
| iminus8 = X0
| ~ cTorF(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f148,plain,
! [X0] :
( iminus6 = X0
| iplus6 = X0
| ~ cTorF(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f151,plain,
! [X0] :
( iminus9 = X0
| iplus9 = X0
| ~ cTorF(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f156,plain,
( iT = iminus6
| iT = iplus9
| iminus7 = iT ),
inference(cnf_transformation,[],[f20]) ).
fof(f157,plain,
( iT = iplus8
| iminus3 = iT
| iplus7 = iT ),
inference(cnf_transformation,[],[f21]) ).
fof(f158,plain,
( iplus5 = iT
| iT = iplus9
| iminus7 = iT ),
inference(cnf_transformation,[],[f22]) ).
fof(f160,plain,
( iplus3 = iT
| iT = iminus9
| iplus4 = iT ),
inference(cnf_transformation,[],[f24]) ).
fof(f168,plain,
( iplus3 = iT
| iT = iminus9
| iminus2 = iT ),
inference(cnf_transformation,[],[f32]) ).
fof(f169,plain,
( iT = iplus6
| iminus2 = iT
| iminus7 = iT ),
inference(cnf_transformation,[],[f33]) ).
fof(f173,plain,
( iT = iplus8
| iplus2 = iT
| iminus4 = iT ),
inference(cnf_transformation,[],[f37]) ).
fof(f178,plain,
( iminus4 = iT
| iminus3 = iT
| iminus7 = iT ),
inference(cnf_transformation,[],[f42]) ).
fof(f182,plain,
( iT = iminus8
| iT = iminus9
| iminus4 = iT ),
inference(cnf_transformation,[],[f46]) ).
fof(f184,plain,
( iT = iplus8
| iplus2 = iT
| iminus3 = iT ),
inference(cnf_transformation,[],[f48]) ).
fof(f187,plain,
( iminus5 = iT
| iT = iminus8
| iminus3 = iT ),
inference(cnf_transformation,[],[f51]) ).
fof(f188,plain,
( iplus3 = iT
| iT = iplus9
| iplus4 = iT ),
inference(cnf_transformation,[],[f52]) ).
fof(f191,plain,
( iplus5 = iT
| iT = iminus8
| iminus3 = iT ),
inference(cnf_transformation,[],[f55]) ).
fof(f192,plain,
( iminus5 = iT
| iplus2 = iT
| iminus7 = iT ),
inference(cnf_transformation,[],[f56]) ).
fof(f198,plain,
( iT = iminus6
| iminus2 = iT
| iplus4 = iT ),
inference(cnf_transformation,[],[f62]) ).
fof(f200,plain,
( iminus4 = iT
| iplus7 = iT
| iT = iplus9 ),
inference(cnf_transformation,[],[f64]) ).
fof(f219,plain,
iT != iF,
inference(cnf_transformation,[],[f83]) ).
fof(f227,plain,
cTorF(iminus4),
inference(equality_resolution,[],[f129]) ).
fof(f231,plain,
cTorF(iplus7),
inference(equality_resolution,[],[f135]) ).
fof(f232,plain,
cTorF(iminus7),
inference(equality_resolution,[],[f134]) ).
fof(f238,plain,
cTorF(iF),
inference(equality_resolution,[],[f143]) ).
fof(f246,definition,
( spl0_1
<=> iT = iplus9 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f248,plain,
( iT = iplus9
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f250,definition,
( spl0_2
<=> iplus7 = iT ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f251,plain,
( iplus7 != iT
| spl0_2 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f252,plain,
( iplus7 = iT
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f254,definition,
( spl0_3
<=> iminus4 = iT ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f255,plain,
( iminus4 != iT
| spl0_3 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f256,plain,
( iminus4 = iT
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f257,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f200,f254,f250,f246]) ).
fof(f259,definition,
( spl0_4
<=> iT = iplus6 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f261,plain,
( iT = iplus6
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f263,definition,
( spl0_5
<=> iT = iplus8 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f265,plain,
( iT = iplus8
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f268,definition,
( spl0_6
<=> iplus4 = iT ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f270,plain,
( iplus4 = iT
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f272,definition,
( spl0_7
<=> iminus2 = iT ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f274,plain,
( iminus2 = iT
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f276,definition,
( spl0_8
<=> iT = iminus6 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f278,plain,
( iT = iminus6
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f279,plain,
( spl0_6
| spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f198,f276,f272,f268]) ).
fof(f281,definition,
( spl0_9
<=> iplus2 = iT ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f283,plain,
( iplus2 = iT
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f285,definition,
( spl0_10
<=> iplus5 = iT ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f287,plain,
( iplus5 = iT
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f290,definition,
( spl0_11
<=> iT = iminus9 ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f292,plain,
( iT = iminus9
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f294,definition,
( spl0_12
<=> iplus3 = iT ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f296,plain,
( iplus3 = iT
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f298,definition,
( spl0_13
<=> iminus5 = iT ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f300,plain,
( iminus5 = iT
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f314,definition,
( spl0_16
<=> iminus7 = iT ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f315,plain,
( iminus7 != iT
| spl0_16 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f316,plain,
( iminus7 = iT
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f317,plain,
( spl0_16
| spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f192,f298,f281,f314]) ).
fof(f319,definition,
( spl0_17
<=> iminus3 = iT ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f321,plain,
( iminus3 = iT
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f323,definition,
( spl0_18
<=> iT = iminus8 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f325,plain,
( iT = iminus8
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f326,plain,
( spl0_17
| spl0_18
| spl0_10 ),
inference(avatar_split_clause,[],[f191,f285,f323,f319]) ).
fof(f329,plain,
( spl0_6
| spl0_1
| spl0_12 ),
inference(avatar_split_clause,[],[f188,f294,f246,f268]) ).
fof(f330,plain,
( spl0_17
| spl0_18
| spl0_13 ),
inference(avatar_split_clause,[],[f187,f298,f323,f319]) ).
fof(f333,plain,
( spl0_17
| spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f184,f263,f281,f319]) ).
fof(f335,plain,
( spl0_3
| spl0_11
| spl0_18 ),
inference(avatar_split_clause,[],[f182,f323,f290,f254]) ).
fof(f339,plain,
( spl0_16
| spl0_17
| spl0_3 ),
inference(avatar_split_clause,[],[f178,f254,f319,f314]) ).
fof(f344,plain,
( spl0_3
| spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f173,f263,f281,f254]) ).
fof(f348,plain,
( spl0_16
| spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f169,f259,f272,f314]) ).
fof(f349,plain,
( spl0_7
| spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f168,f294,f290,f272]) ).
fof(f356,plain,
( spl0_6
| spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f160,f294,f290,f268]) ).
fof(f358,plain,
( spl0_16
| spl0_1
| spl0_10 ),
inference(avatar_split_clause,[],[f158,f285,f246,f314]) ).
fof(f359,plain,
( spl0_2
| spl0_17
| spl0_5 ),
inference(avatar_split_clause,[],[f157,f263,f319,f250]) ).
fof(f360,plain,
( spl0_16
| spl0_1
| spl0_8 ),
inference(avatar_split_clause,[],[f156,f276,f246,f314]) ).
fof(f493,plain,
( ! [X0] :
( iT = X0
| iplus4 = X0
| ~ cTorF(X0) )
| ~ spl0_3 ),
inference(forward_demodulation,[],[f127,f256]) ).
fof(f494,plain,
( ! [X0] :
( iT = X0
| iT = X0
| ~ cTorF(X0) )
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f493,f270]) ).
fof(f495,plain,
( ! [X0] :
( ~ cTorF(X0)
| iT = X0 )
| ~ spl0_3
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f494]) ).
fof(f503,plain,
( iplus7 = iT
| ~ spl0_3
| ~ spl0_6 ),
inference(resolution,[],[f495,f231]) ).
fof(f504,plain,
( iminus7 = iT
| ~ spl0_3
| ~ spl0_6 ),
inference(resolution,[],[f495,f232]) ).
fof(f510,plain,
( iT = iF
| ~ spl0_3
| ~ spl0_6 ),
inference(resolution,[],[f495,f238]) ).
fof(f520,plain,
( $false
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f510,f219]) ).
fof(f521,plain,
( ~ spl0_3
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f520]) ).
fof(f523,plain,
( spl0_16
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f504,f268,f254,f314]) ).
fof(f524,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f503,f268,f254,f250]) ).
fof(f575,plain,
( ! [X0] :
( iT = X0
| iplus2 = X0
| ~ cTorF(X0) )
| ~ spl0_7 ),
inference(forward_demodulation,[],[f130,f274]) ).
fof(f581,plain,
( ! [X0] :
( iT = X0
| iminus7 = X0
| ~ cTorF(X0) )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f133,f252]) ).
fof(f582,plain,
( ! [X0] :
( iT = X0
| iT = X0
| ~ cTorF(X0) )
| ~ spl0_2
| ~ spl0_16 ),
inference(forward_demodulation,[],[f581,f316]) ).
fof(f583,plain,
( ! [X0] :
( ~ cTorF(X0)
| iT = X0 )
| ~ spl0_2
| ~ spl0_16 ),
inference(duplicate_literal_removal,[],[f582]) ).
fof(f598,plain,
( iT = iF
| ~ spl0_2
| ~ spl0_16 ),
inference(resolution,[],[f583,f238]) ).
fof(f606,plain,
( $false
| ~ spl0_2
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f598,f219]) ).
fof(f607,plain,
( ~ spl0_2
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f606]) ).
fof(f637,plain,
( ! [X0] :
( iT = X0
| iminus5 = X0
| ~ cTorF(X0) )
| ~ spl0_10 ),
inference(forward_demodulation,[],[f136,f287]) ).
fof(f638,plain,
( ! [X0] :
( iT = X0
| iT = X0
| ~ cTorF(X0) )
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f637,f300]) ).
fof(f639,plain,
( ! [X0] :
( ~ cTorF(X0)
| iT = X0 )
| ~ spl0_10
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f638]) ).
fof(f660,plain,
( iT = iF
| ~ spl0_10
| ~ spl0_13 ),
inference(resolution,[],[f639,f238]) ).
fof(f667,plain,
( $false
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f660,f219]) ).
fof(f668,plain,
( ~ spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f667]) ).
fof(f685,plain,
( ! [X0] :
( iT = X0
| iminus3 = X0
| ~ cTorF(X0) )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f139,f296]) ).
fof(f686,plain,
( ! [X0] :
( iT = X0
| iT = X0
| ~ cTorF(X0) )
| ~ spl0_12
| ~ spl0_17 ),
inference(forward_demodulation,[],[f685,f321]) ).
fof(f687,plain,
( ! [X0] :
( ~ cTorF(X0)
| iT = X0 )
| ~ spl0_12
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f686]) ).
fof(f702,plain,
( iT = iF
| ~ spl0_12
| ~ spl0_17 ),
inference(resolution,[],[f687,f238]) ).
fof(f709,plain,
( $false
| ~ spl0_12
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f702,f219]) ).
fof(f710,plain,
( ~ spl0_12
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f709]) ).
fof(f733,plain,
( ! [X0] :
( iT = X0
| iminus8 = X0
| ~ cTorF(X0) )
| ~ spl0_5 ),
inference(forward_demodulation,[],[f145,f265]) ).
fof(f734,plain,
( ! [X0] :
( iT = X0
| iT = X0
| ~ cTorF(X0) )
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f733,f325]) ).
fof(f735,plain,
( ! [X0] :
( ~ cTorF(X0)
| iT = X0 )
| ~ spl0_5
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f734]) ).
fof(f744,plain,
( iminus4 = iT
| ~ spl0_5
| ~ spl0_18 ),
inference(resolution,[],[f735,f227]) ).
fof(f748,plain,
( iplus7 = iT
| ~ spl0_5
| ~ spl0_18 ),
inference(resolution,[],[f735,f231]) ).
fof(f755,plain,
( iT = iF
| ~ spl0_5
| ~ spl0_18 ),
inference(resolution,[],[f735,f238]) ).
fof(f762,plain,
( $false
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f755,f219]) ).
fof(f763,plain,
( ~ spl0_5
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f762]) ).
fof(f768,plain,
( $false
| spl0_2
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f748,f251]) ).
fof(f769,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f768]) ).
fof(f772,plain,
( $false
| spl0_3
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f744,f255]) ).
fof(f773,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f772]) ).
fof(f783,plain,
( ! [X0] :
( iT = X0
| iplus6 = X0
| ~ cTorF(X0) )
| ~ spl0_8 ),
inference(forward_demodulation,[],[f148,f278]) ).
fof(f784,plain,
( ! [X0] :
( iT = X0
| iT = X0
| ~ cTorF(X0) )
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f783,f261]) ).
fof(f785,plain,
( ! [X0] :
( ~ cTorF(X0)
| iT = X0 )
| ~ spl0_4
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f784]) ).
fof(f801,plain,
( iT = iF
| ~ spl0_4
| ~ spl0_8 ),
inference(resolution,[],[f785,f238]) ).
fof(f810,plain,
( $false
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f801,f219]) ).
fof(f811,plain,
( ~ spl0_4
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f810]) ).
fof(f852,plain,
( ! [X0] :
( iT = X0
| iplus9 = X0
| ~ cTorF(X0) )
| ~ spl0_11 ),
inference(forward_demodulation,[],[f151,f292]) ).
fof(f853,plain,
( ! [X0] :
( iT = X0
| iT = X0
| ~ cTorF(X0) )
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[],[f852,f248]) ).
fof(f854,plain,
( ! [X0] :
( ~ cTorF(X0)
| iT = X0 )
| ~ spl0_1
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f853]) ).
fof(f870,plain,
( iT = iF
| ~ spl0_1
| ~ spl0_11 ),
inference(resolution,[],[f854,f238]) ).
fof(f881,plain,
( $false
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f870,f219]) ).
fof(f882,plain,
( ~ spl0_1
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f881]) ).
fof(f1055,plain,
( ! [X0] :
( iT = X0
| iT = X0
| ~ cTorF(X0) )
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f575,f283]) ).
fof(f1056,plain,
( ! [X0] :
( ~ cTorF(X0)
| iT = X0 )
| ~ spl0_7
| ~ spl0_9 ),
inference(duplicate_literal_removal,[],[f1055]) ).
fof(f1065,plain,
( iminus7 = iT
| ~ spl0_7
| ~ spl0_9 ),
inference(resolution,[],[f1056,f232]) ).
fof(f1071,plain,
( iT = iF
| ~ spl0_7
| ~ spl0_9 ),
inference(resolution,[],[f1056,f238]) ).
fof(f1084,plain,
( $false
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1071,f219]) ).
fof(f1085,plain,
( ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1084]) ).
fof(f1090,plain,
( $false
| ~ spl0_7
| ~ spl0_9
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f1065,f315]) ).
fof(f1091,plain,
( ~ spl0_7
| ~ spl0_9
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f1090]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f257]) ).
cnf(s3,plain,
( spl0_6
| spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f279]) ).
cnf(s9,plain,
( spl0_9
| spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f317]) ).
cnf(s10,plain,
( spl0_10
| spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f326]) ).
cnf(s13,plain,
( spl0_1
| spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f329]) ).
cnf(s14,plain,
( spl0_13
| spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f330]) ).
cnf(s17,plain,
( spl0_5
| spl0_9
| spl0_17 ),
inference(sat_conversion,[],[f333]) ).
cnf(s19,plain,
( spl0_3
| spl0_11
| spl0_18 ),
inference(sat_conversion,[],[f335]) ).
cnf(s23,plain,
( spl0_3
| spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f339]) ).
cnf(s28,plain,
( spl0_3
| spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f344]) ).
cnf(s32,plain,
( spl0_4
| spl0_7
| spl0_16 ),
inference(sat_conversion,[],[f348]) ).
cnf(s33,plain,
( spl0_7
| spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f349]) ).
cnf(s40,plain,
( spl0_6
| spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f356]) ).
cnf(s42,plain,
( spl0_1
| spl0_10
| spl0_16 ),
inference(sat_conversion,[],[f358]) ).
cnf(s43,plain,
( spl0_2
| spl0_5
| spl0_17 ),
inference(sat_conversion,[],[f359]) ).
cnf(s44,plain,
( spl0_1
| spl0_8
| spl0_16 ),
inference(sat_conversion,[],[f360]) ).
cnf(s67,plain,
( ~ spl0_3
| ~ spl0_6 ),
inference(sat_conversion,[],[f521]) ).
cnf(s69,plain,
( ~ spl0_3
| ~ spl0_6
| spl0_16 ),
inference(sat_conversion,[],[f523]) ).
cnf(s70,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(sat_conversion,[],[f524]) ).
cnf(s82,plain,
( ~ spl0_2
| ~ spl0_16 ),
inference(sat_conversion,[],[f607]) ).
cnf(s93,plain,
( ~ spl0_10
| ~ spl0_13 ),
inference(sat_conversion,[],[f668]) ).
cnf(s99,plain,
( ~ spl0_12
| ~ spl0_17 ),
inference(sat_conversion,[],[f710]) ).
cnf(s106,plain,
( ~ spl0_5
| ~ spl0_18 ),
inference(sat_conversion,[],[f763]) ).
cnf(s109,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_18 ),
inference(sat_conversion,[],[f769]) ).
cnf(s111,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_18 ),
inference(sat_conversion,[],[f773]) ).
cnf(s116,plain,
( ~ spl0_4
| ~ spl0_8 ),
inference(sat_conversion,[],[f811]) ).
cnf(s128,plain,
( ~ spl0_1
| ~ spl0_11 ),
inference(sat_conversion,[],[f882]) ).
cnf(s173,plain,
( ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f1085]) ).
cnf(s176,plain,
( ~ spl0_7
| ~ spl0_9
| spl0_16 ),
inference(sat_conversion,[],[f1091]) ).
cnf(s179,plain,
( spl0_18
| spl0_17 ),
inference(rat,[],[s93,s10,s14]) ).
cnf(s180,plain,
( spl0_17
| spl0_2 ),
inference(rat,[],[s179,s109,s43]) ).
cnf(s181,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s180,s99,s13,s70,s1]) ).
cnf(s182,plain,
( spl0_16
| spl0_1 ),
inference(rat,[],[s176,s9,s32,s93,s116,s42,s44]) ).
cnf(s183,plain,
spl0_1,
inference(rat,[],[s182,s82,s181]) ).
cnf(s184,plain,
~ spl0_11,
inference(rat,[],[s128,s183]) ).
cnf(s185,plain,
spl0_17,
inference(rat,[],[s116,s32,s3,s176,s69,s17,s23,s106,s82,s179,s180]) ).
cnf(s186,plain,
~ spl0_12,
inference(rat,[],[s99,s185]) ).
cnf(s188,plain,
spl0_7,
inference(rat,[],[s33,s184,s186]) ).
cnf(s189,plain,
spl0_6,
inference(rat,[],[s40,s184,s186]) ).
cnf(s191,plain,
~ spl0_9,
inference(rat,[],[s173,s188]) ).
cnf(s192,plain,
~ spl0_3,
inference(rat,[],[s67,s189]) ).
cnf(s194,plain,
spl0_5,
inference(rat,[],[s28,s191,s192]) ).
cnf(s195,plain,
spl0_18,
inference(rat,[],[s19,s184,s192]) ).
cnf(s198,plain,
$false,
inference(rat,[],[s111,s192,s195,s194]) ).
fof(f1096,plain,
$false,
inference(avatar_sat_refutation,[],[s198]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS102+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 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 : Sun Sep 27 13:27:17 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.13/1.30 % (2648565)Detected formulas, will run a generic FOF schedule.
% 2.13/1.30 % (2648573)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1898201236:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.13/1.30 % (2648573)Refutation not found, incomplete strategy
% 2.13/1.30 % (2648573)------------------------------
% 2.13/1.30 % (2648573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.13/1.30 % (2648573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/1.30 % (2648573)CaDiCaL version: 2.1.3
% 2.13/1.30 % (2648573)Termination reason: Refutation not found, incomplete strategy
% 2.13/1.30 % (2648573)Time elapsed: 0.0000 s
% 2.13/1.30 % (2648573)Peak memory usage: 86 MB
% 2.13/1.30 % (2648571)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=342610337:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.13/1.30 % (2648574)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3014449070:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.13/1.30 % (2648576)dis-21_1_sil=8000:lcm=predicate:random_seed=1381991082:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.13/1.30 % (2648572)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1885164268:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.13/1.30 % (2648570)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2421286688:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.13/1.30 % (2648575)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2360203541:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.13/1.30 % (2648574)Refutation not found, incomplete strategy
% 2.13/1.30 % (2648574)------------------------------
% 2.13/1.30 % (2648574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.13/1.30 % (2648574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/1.30 % (2648574)CaDiCaL version: 2.1.3
% 2.13/1.30 % (2648574)Termination reason: Refutation not found, incomplete strategy
% 2.13/1.30 % (2648574)Time elapsed: 0.001 s
% 2.13/1.30 % (2648574)Peak memory usage: 86 MB
% 2.13/1.30 % (2648576)Refutation not found, incomplete strategy
% 2.13/1.30 % (2648576)------------------------------
% 2.13/1.30 % (2648576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.13/1.30 % (2648576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/1.30 % (2648576)CaDiCaL version: 2.1.3
% 2.13/1.30 % (2648576)Termination reason: Refutation not found, incomplete strategy
% 2.13/1.30 % (2648576)Time elapsed: 0.003 s
% 2.13/1.30 % (2648576)Peak memory usage: 88 MB
% 2.13/1.30 % (2648576)Instructions burned: 4 (million)
% 2.13/1.30 % (2648575)First to succeed.
% 2.13/1.30 % (2648575)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2648565"
% 2.13/1.30 % (2648573)------------------------------
% 2.13/1.30 % (2648573)------------------------------
% 2.13/1.30 % (2648576)------------------------------
% 2.13/1.30 % (2648576)------------------------------
% 2.13/1.30 % (2648574)------------------------------
% 2.13/1.30 % (2648574)------------------------------
% 2.13/1.30 % (2648584)lrs+10_1_sil=8000:sp=occurrence:random_seed=1556186758:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.13/1.30 % (2648584)Refutation not found, incomplete strategy
% 2.13/1.30 % (2648584)------------------------------
% 2.13/1.30 % (2648584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.13/1.30 % (2648584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/1.30 % (2648584)CaDiCaL version: 2.1.3
% 2.13/1.30 % (2648584)Termination reason: Refutation not found, incomplete strategy
% 2.13/1.30 % (2648584)Time elapsed: 0.0000 s
% 2.13/1.30 % (2648584)Peak memory usage: 86 MB
% 2.13/1.30 % (2648575)Refutation found. Thanks to Tanya!
% 2.13/1.30 % SZS status Unsatisfiable for theBenchmark
% 2.13/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 3.84/1.50 % (2648575)------------------------------
% 3.84/1.50 % (2648575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.84/1.50 % (2648575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.84/1.50 % (2648575)CaDiCaL version: 2.1.3
% 3.84/1.50 % (2648575)Termination reason: Refutation
% 3.84/1.50 % (2648575)Time elapsed: 0.016 s
% 3.84/1.50 % (2648575)Peak memory usage: 90 MB
% 3.84/1.50 % (2648575)Instructions burned: 22 (million)
% 3.84/1.50 % (2648575)------------------------------
% 3.84/1.50 % (2648575)------------------------------
% 3.84/1.50 % (2648565)Success in time 0.448 s
% 3.84/1.50 % Vampire exiting
%------------------------------------------------------------------------------