%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS102+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 11:42:16 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.48s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 50
% Syntax : Number of formulae : 256 ( 20 unt; 20 def)
% Number of atoms : 686 ( 261 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 659 ( 229 ~; 400 |; 0 &)
% ( 30 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 21 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 20 con; 0-0 aty)
% Number of variables : 49 ( 0 sgn 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0] :
( cTorF(X0)
<=> ( X0 = iplus1
| X0 = iminus1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f9,axiom,
! [X0] :
( cTorF(X0)
<=> ( X0 = iminus4
| X0 = iplus4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f10,axiom,
! [X0] :
( cTorF(X0)
<=> ( X0 = iplus2
| X0 = iminus2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f11,axiom,
! [X0] :
( cTorF(X0)
<=> ( X0 = iplus7
| X0 = iminus7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f12,axiom,
! [X0] :
( cTorF(X0)
<=> ( X0 = iplus5
| X0 = iminus5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f13,axiom,
! [X0] :
( cTorF(X0)
<=> ( X0 = iplus3
| X0 = iminus3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f14,axiom,
! [X0] :
( cTorF(X0)
<=> ( X0 = iT
| X0 = iF ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f15,axiom,
! [X0] :
( cTorF(X0)
<=> ( X0 = iplus8
| X0 = iminus8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f16,axiom,
! [X0] :
( cTorF(X0)
<=> ( X0 = iminus6
| X0 = iplus6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f17,axiom,
! [X0] :
( cTorF(X0)
<=> ( X0 = iminus9
| X0 = iplus9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f20,axiom,
( iT = iminus6
| iT = iplus9
| iT = iminus7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f22,axiom,
( iT = iplus5
| iT = iplus9
| iT = iminus7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
fof(f24,axiom,
( iT = iplus3
| iT = iminus9
| iT = iplus4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(f25,axiom,
( iT = iminus9
| iT = iminus6
| iT = iplus1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f29,axiom,
( iT = iplus1
| iT = iplus7
| iT = iplus4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_23) ).
fof(f31,axiom,
( iT = iminus8
| iT = iplus6
| iT = iplus4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).
fof(f33,axiom,
( iT = iplus6
| iT = iminus2
| iT = iminus7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).
fof(f37,axiom,
( iT = iplus8
| iT = iplus2
| iT = iminus4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_31) ).
fof(f39,axiom,
( iT = iminus5
| iT = iplus6
| iT = iplus4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_33) ).
fof(f42,axiom,
( iT = iminus4
| iT = iminus3
| iT = iminus7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).
fof(f43,axiom,
( iT = iplus2
| iT = iplus4
| iT = iminus1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
fof(f45,axiom,
( iT = iplus3
| iT = iplus6
| iT = iminus4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_39) ).
fof(f46,axiom,
( iT = iminus8
| iT = iminus9
| iT = iminus4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_40) ).
fof(f48,axiom,
( iT = iplus8
| iT = iplus2
| iT = iminus3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_42) ).
fof(f50,axiom,
( iT = iplus8
| iT = iplus3
| iT = iminus7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_44) ).
fof(f54,axiom,
( iT = iminus9
| iT = iminus2
| iT = iplus7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_48) ).
fof(f57,axiom,
( iT = iplus6
| iT = iminus2
| iT = iplus9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_51) ).
fof(f62,axiom,
( iT = iminus6
| iT = iminus2
| iT = iplus4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_56) ).
fof(f64,axiom,
( iT = iminus4
| iT = iplus7
| iT = iplus9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_58) ).
fof(f83,axiom,
iT != iF,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_77) ).
fof(f103,plain,
! [X0] :
( ~ cTorF(X0)
| iplus1 = X0
| iminus1 = X0 ),
inference(cnf_transformation,[],[f8]) ).
fof(f104,plain,
! [X0] :
( iminus1 != X0
| cTorF(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f106,plain,
! [X0] :
( iplus4 = X0
| iminus4 = X0
| ~ cTorF(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f108,plain,
! [X0] :
( iminus4 != X0
| cTorF(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0] :
( iminus2 = X0
| iplus2 = X0
| ~ cTorF(X0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f112,plain,
! [X0] :
( ~ cTorF(X0)
| iplus7 = X0
| iminus7 = X0 ),
inference(cnf_transformation,[],[f11]) ).
fof(f113,plain,
! [X0] :
( iminus7 != X0
| cTorF(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f114,plain,
! [X0] :
( iplus7 != X0
| cTorF(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f115,plain,
! [X0] :
( iminus5 = X0
| iplus5 = X0
| ~ cTorF(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f118,plain,
! [X0] :
( iminus3 = X0
| iplus3 = X0
| ~ cTorF(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f120,plain,
! [X0] :
( iplus3 != X0
| cTorF(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f122,plain,
! [X0] :
( iF != X0
| cTorF(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f124,plain,
! [X0] :
( iminus8 = X0
| iplus8 = X0
| ~ cTorF(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f127,plain,
! [X0] :
( iplus6 = X0
| iminus6 = X0
| ~ cTorF(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f130,plain,
! [X0] :
( iplus9 = X0
| iminus9 = X0
| ~ cTorF(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f135,plain,
( iminus7 = iT
| iT = iplus9
| iT = iminus6 ),
inference(cnf_transformation,[],[f20]) ).
fof(f137,plain,
( iminus7 = iT
| iT = iplus9
| iplus5 = iT ),
inference(cnf_transformation,[],[f22]) ).
fof(f139,plain,
( iplus4 = iT
| iT = iminus9
| iplus3 = iT ),
inference(cnf_transformation,[],[f24]) ).
fof(f140,plain,
( iplus1 = iT
| iT = iminus6
| iT = iminus9 ),
inference(cnf_transformation,[],[f25]) ).
fof(f144,plain,
( iplus4 = iT
| iplus7 = iT
| iplus1 = iT ),
inference(cnf_transformation,[],[f29]) ).
fof(f146,plain,
( iplus4 = iT
| iT = iplus6
| iT = iminus8 ),
inference(cnf_transformation,[],[f31]) ).
fof(f148,plain,
( iminus7 = iT
| iminus2 = iT
| iT = iplus6 ),
inference(cnf_transformation,[],[f33]) ).
fof(f152,plain,
( iminus4 = iT
| iplus2 = iT
| iT = iplus8 ),
inference(cnf_transformation,[],[f37]) ).
fof(f154,plain,
( iplus4 = iT
| iT = iplus6
| iminus5 = iT ),
inference(cnf_transformation,[],[f39]) ).
fof(f157,plain,
( iminus7 = iT
| iminus3 = iT
| iminus4 = iT ),
inference(cnf_transformation,[],[f42]) ).
fof(f158,plain,
( iminus1 = iT
| iplus4 = iT
| iplus2 = iT ),
inference(cnf_transformation,[],[f43]) ).
fof(f160,plain,
( iminus4 = iT
| iT = iplus6
| iplus3 = iT ),
inference(cnf_transformation,[],[f45]) ).
fof(f161,plain,
( iminus4 = iT
| iT = iminus9
| iT = iminus8 ),
inference(cnf_transformation,[],[f46]) ).
fof(f163,plain,
( iminus3 = iT
| iplus2 = iT
| iT = iplus8 ),
inference(cnf_transformation,[],[f48]) ).
fof(f165,plain,
( iminus7 = iT
| iplus3 = iT
| iT = iplus8 ),
inference(cnf_transformation,[],[f50]) ).
fof(f169,plain,
( iplus7 = iT
| iminus2 = iT
| iT = iminus9 ),
inference(cnf_transformation,[],[f54]) ).
fof(f172,plain,
( iT = iplus9
| iminus2 = iT
| iT = iplus6 ),
inference(cnf_transformation,[],[f57]) ).
fof(f177,plain,
( iplus4 = iT
| iminus2 = iT
| iT = iminus6 ),
inference(cnf_transformation,[],[f62]) ).
fof(f179,plain,
( iT = iplus9
| iplus7 = iT
| iminus4 = iT ),
inference(cnf_transformation,[],[f64]) ).
fof(f198,plain,
iT != iF,
inference(cnf_transformation,[],[f83]) ).
fof(f205,plain,
cTorF(iminus1),
inference(equality_resolution,[],[f104]) ).
fof(f206,plain,
cTorF(iminus4),
inference(equality_resolution,[],[f108]) ).
fof(f210,plain,
cTorF(iplus7),
inference(equality_resolution,[],[f114]) ).
fof(f211,plain,
cTorF(iminus7),
inference(equality_resolution,[],[f113]) ).
fof(f214,plain,
cTorF(iplus3),
inference(equality_resolution,[],[f120]) ).
fof(f217,plain,
cTorF(iF),
inference(equality_resolution,[],[f122]) ).
fof(f229,definition,
( spl0_1
<=> iminus4 = iT ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f231,plain,
( iminus4 = iT
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f233,definition,
( spl0_2
<=> iplus7 = iT ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f234,plain,
( iplus7 != iT
| spl0_2 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f235,plain,
( iplus7 = iT
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f237,definition,
( spl0_3
<=> iT = iplus9 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f239,plain,
( iT = iplus9
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f240,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f179,f237,f233,f229]) ).
fof(f242,definition,
( spl0_4
<=> iT = iplus8 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f244,plain,
( iT = iplus8
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f246,definition,
( spl0_5
<=> iT = iplus6 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f248,plain,
( iT = iplus6
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f251,definition,
( spl0_6
<=> iT = iminus6 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f253,plain,
( iT = iminus6
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f255,definition,
( spl0_7
<=> iminus2 = iT ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f257,plain,
( iminus2 = iT
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f259,definition,
( spl0_8
<=> iplus4 = iT ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f261,plain,
( iplus4 = iT
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f262,plain,
( spl0_6
| spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f177,f259,f255,f251]) ).
fof(f264,definition,
( spl0_9
<=> iplus5 = iT ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f266,plain,
( iplus5 = iT
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f268,definition,
( spl0_10
<=> iplus2 = iT ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f270,plain,
( iplus2 = iT
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f273,definition,
( spl0_11
<=> iminus5 = iT ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f275,plain,
( iminus5 = iT
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f277,definition,
( spl0_12
<=> iplus3 = iT ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f278,plain,
( iplus3 != iT
| spl0_12 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f279,plain,
( iplus3 = iT
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f281,definition,
( spl0_13
<=> iT = iminus9 ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f283,plain,
( iT = iminus9
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f286,definition,
( spl0_14
<=> iminus1 = iT ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f287,plain,
( iminus1 != iT
| spl0_14 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f288,plain,
( iminus1 = iT
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f291,definition,
( spl0_15
<=> iplus1 = iT ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f293,plain,
( iplus1 = iT
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f295,plain,
( spl0_5
| spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f172,f237,f255,f246]) ).
fof(f297,definition,
( spl0_16
<=> iminus7 = iT ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f298,plain,
( iminus7 != iT
| spl0_16 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f299,plain,
( iminus7 = iT
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f302,definition,
( spl0_17
<=> iT = iminus8 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f304,plain,
( iT = iminus8
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f306,definition,
( spl0_18
<=> iminus3 = iT ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f308,plain,
( iminus3 = iT
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f310,plain,
( spl0_13
| spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f169,f233,f255,f281]) ).
fof(f314,plain,
( spl0_4
| spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f165,f297,f277,f242]) ).
fof(f316,plain,
( spl0_4
| spl0_10
| spl0_18 ),
inference(avatar_split_clause,[],[f163,f306,f268,f242]) ).
fof(f318,plain,
( spl0_17
| spl0_13
| spl0_1 ),
inference(avatar_split_clause,[],[f161,f229,f281,f302]) ).
fof(f319,plain,
( spl0_12
| spl0_5
| spl0_1 ),
inference(avatar_split_clause,[],[f160,f229,f246,f277]) ).
fof(f321,plain,
( spl0_10
| spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f158,f286,f259,f268]) ).
fof(f322,plain,
( spl0_1
| spl0_18
| spl0_16 ),
inference(avatar_split_clause,[],[f157,f297,f306,f229]) ).
fof(f325,plain,
( spl0_11
| spl0_5
| spl0_8 ),
inference(avatar_split_clause,[],[f154,f259,f246,f273]) ).
fof(f327,plain,
( spl0_4
| spl0_10
| spl0_1 ),
inference(avatar_split_clause,[],[f152,f229,f268,f242]) ).
fof(f331,plain,
( spl0_5
| spl0_7
| spl0_16 ),
inference(avatar_split_clause,[],[f148,f297,f255,f246]) ).
fof(f333,plain,
( spl0_17
| spl0_5
| spl0_8 ),
inference(avatar_split_clause,[],[f146,f259,f246,f302]) ).
fof(f335,plain,
( spl0_15
| spl0_2
| spl0_8 ),
inference(avatar_split_clause,[],[f144,f259,f233,f291]) ).
fof(f338,plain,
( spl0_13
| spl0_6
| spl0_15 ),
inference(avatar_split_clause,[],[f140,f291,f251,f281]) ).
fof(f339,plain,
( spl0_12
| spl0_13
| spl0_8 ),
inference(avatar_split_clause,[],[f139,f259,f281,f277]) ).
fof(f341,plain,
( spl0_9
| spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f137,f297,f237,f264]) ).
fof(f343,plain,
( spl0_6
| spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f135,f297,f237,f251]) ).
fof(f370,plain,
( iplus1 = iF
| iminus1 = iF ),
inference(resolution,[],[f103,f217]) ).
fof(f400,definition,
( spl0_23
<=> iminus1 = iF ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f402,plain,
( iminus1 = iF
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f404,definition,
( spl0_24
<=> iplus1 = iF ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f406,plain,
( iplus1 = iF
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f407,plain,
( spl0_23
| spl0_24 ),
inference(avatar_split_clause,[],[f370,f404,f400]) ).
fof(f466,plain,
( ! [X0] :
( iT = X0
| iminus4 = X0
| ~ cTorF(X0) )
| ~ spl0_8 ),
inference(forward_demodulation,[],[f106,f261]) ).
fof(f467,plain,
( ! [X0] :
( iT = X0
| iplus2 = X0
| ~ cTorF(X0) )
| ~ spl0_7 ),
inference(forward_demodulation,[],[f109,f257]) ).
fof(f468,plain,
( ! [X0] :
( iT = X0
| iT = X0
| ~ cTorF(X0) )
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f467,f270]) ).
fof(f469,plain,
( ! [X0] :
( ~ cTorF(X0)
| iT = X0 )
| ~ spl0_7
| ~ spl0_10 ),
inference(duplicate_literal_removal,[],[f468]) ).
fof(f474,plain,
( iminus1 = iT
| ~ spl0_7
| ~ spl0_10 ),
inference(resolution,[],[f469,f205]) ).
fof(f486,plain,
( iT = iF
| ~ spl0_7
| ~ spl0_10 ),
inference(resolution,[],[f469,f217]) ).
fof(f495,plain,
( $false
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f486,f198]) ).
fof(f496,plain,
( ~ spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f495]) ).
fof(f500,plain,
( $false
| ~ spl0_7
| ~ spl0_10
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f474,f287]) ).
fof(f501,plain,
( ~ spl0_7
| ~ spl0_10
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f500]) ).
fof(f518,plain,
( ! [X0] :
( iT = X0
| iplus7 = X0
| ~ cTorF(X0) )
| ~ spl0_16 ),
inference(forward_demodulation,[],[f112,f299]) ).
fof(f519,plain,
( ! [X0] :
( iT = X0
| iT = X0
| ~ cTorF(X0) )
| ~ spl0_2
| ~ spl0_16 ),
inference(forward_demodulation,[],[f518,f235]) ).
fof(f520,plain,
( ! [X0] :
( ~ cTorF(X0)
| iT = X0 )
| ~ spl0_2
| ~ spl0_16 ),
inference(duplicate_literal_removal,[],[f519]) ).
fof(f523,plain,
( iminus4 = iT
| ~ spl0_2
| ~ spl0_16 ),
inference(resolution,[],[f520,f206]) ).
fof(f534,plain,
( iT = iF
| ~ spl0_2
| ~ spl0_16 ),
inference(resolution,[],[f520,f217]) ).
fof(f542,plain,
( $false
| ~ spl0_2
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f534,f198]) ).
fof(f543,plain,
( ~ spl0_2
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f542]) ).
fof(f546,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f523,f297,f233,f229]) ).
fof(f564,plain,
( ! [X0] :
( iT = X0
| iplus5 = X0
| ~ cTorF(X0) )
| ~ spl0_11 ),
inference(forward_demodulation,[],[f115,f275]) ).
fof(f565,plain,
( ! [X0] :
( iT = X0
| iT = X0
| ~ cTorF(X0) )
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f564,f266]) ).
fof(f566,plain,
( ! [X0] :
( ~ cTorF(X0)
| iT = X0 )
| ~ spl0_9
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f565]) ).
fof(f580,plain,
( iT = iF
| ~ spl0_9
| ~ spl0_11 ),
inference(resolution,[],[f566,f217]) ).
fof(f588,plain,
( $false
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f580,f198]) ).
fof(f589,plain,
( ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f588]) ).
fof(f612,plain,
( ! [X0] :
( iT = X0
| iplus3 = X0
| ~ cTorF(X0) )
| ~ spl0_18 ),
inference(forward_demodulation,[],[f118,f308]) ).
fof(f613,plain,
( ! [X0] :
( iT = X0
| iT = X0
| ~ cTorF(X0) )
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f612,f279]) ).
fof(f614,plain,
( ! [X0] :
( ~ cTorF(X0)
| iT = X0 )
| ~ spl0_12
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f613]) ).
fof(f622,plain,
( iminus7 = iT
| ~ spl0_12
| ~ spl0_18 ),
inference(resolution,[],[f614,f211]) ).
fof(f628,plain,
( iT = iF
| ~ spl0_12
| ~ spl0_18 ),
inference(resolution,[],[f614,f217]) ).
fof(f636,plain,
( $false
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f628,f198]) ).
fof(f637,plain,
( ~ spl0_12
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f636]) ).
fof(f640,plain,
( $false
| ~ spl0_12
| spl0_16
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f622,f298]) ).
fof(f641,plain,
( ~ spl0_12
| spl0_16
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f640]) ).
fof(f801,plain,
( ! [X0] :
( iT = X0
| iplus8 = X0
| ~ cTorF(X0) )
| ~ spl0_17 ),
inference(forward_demodulation,[],[f124,f304]) ).
fof(f802,plain,
( ! [X0] :
( iT = X0
| iT = X0
| ~ cTorF(X0) )
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[],[f801,f244]) ).
fof(f803,plain,
( ! [X0] :
( ~ cTorF(X0)
| iT = X0 )
| ~ spl0_4
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f802]) ).
fof(f818,plain,
( iT = iF
| ~ spl0_4
| ~ spl0_17 ),
inference(resolution,[],[f803,f217]) ).
fof(f825,plain,
( $false
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f818,f198]) ).
fof(f826,plain,
( ~ spl0_4
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f825]) ).
fof(f878,plain,
( ! [X0] :
( iT = X0
| iminus6 = X0
| ~ cTorF(X0) )
| ~ spl0_5 ),
inference(forward_demodulation,[],[f127,f248]) ).
fof(f879,plain,
( ! [X0] :
( iT = X0
| iT = X0
| ~ cTorF(X0) )
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f878,f253]) ).
fof(f880,plain,
( ! [X0] :
( ~ cTorF(X0)
| iT = X0 )
| ~ spl0_5
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f879]) ).
fof(f891,plain,
( iplus3 = iT
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f880,f214]) ).
fof(f894,plain,
( iT = iF
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f880,f217]) ).
fof(f903,plain,
( $false
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f894,f198]) ).
fof(f904,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f903]) ).
fof(f905,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f891,f278]) ).
fof(f906,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f905]) ).
fof(f958,plain,
( iT = iF
| ~ spl0_14
| ~ spl0_23 ),
inference(forward_demodulation,[],[f402,f288]) ).
fof(f959,plain,
( $false
| ~ spl0_14
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f958,f198]) ).
fof(f960,plain,
( ~ spl0_14
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f959]) ).
fof(f963,plain,
( ! [X0] :
( iT = X0
| iminus9 = X0
| ~ cTorF(X0) )
| ~ spl0_3 ),
inference(forward_demodulation,[],[f130,f239]) ).
fof(f964,plain,
( ! [X0] :
( iT = X0
| iT = X0
| ~ cTorF(X0) )
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[],[f963,f283]) ).
fof(f965,plain,
( ! [X0] :
( ~ cTorF(X0)
| iT = X0 )
| ~ spl0_3
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f964]) ).
fof(f972,plain,
( iplus7 = iT
| ~ spl0_3
| ~ spl0_13 ),
inference(resolution,[],[f965,f210]) ).
fof(f979,plain,
( iT = iF
| ~ spl0_3
| ~ spl0_13 ),
inference(resolution,[],[f965,f217]) ).
fof(f990,plain,
( $false
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f979,f198]) ).
fof(f991,plain,
( ~ spl0_3
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f990]) ).
fof(f996,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f972,f234]) ).
fof(f997,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f996]) ).
fof(f1162,plain,
( iT = iF
| ~ spl0_15
| ~ spl0_24 ),
inference(forward_demodulation,[],[f406,f293]) ).
fof(f1163,plain,
( $false
| ~ spl0_15
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1162,f198]) ).
fof(f1164,plain,
( ~ spl0_15
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1163]) ).
fof(f1171,plain,
( ! [X0] :
( iT = X0
| iT = X0
| ~ cTorF(X0) )
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f466,f231]) ).
fof(f1172,plain,
( ! [X0] :
( ~ cTorF(X0)
| iT = X0 )
| ~ spl0_1
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f1171]) ).
fof(f1191,plain,
( iT = iF
| ~ spl0_1
| ~ spl0_8 ),
inference(resolution,[],[f1172,f217]) ).
fof(f1204,plain,
( $false
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f1191,f198]) ).
fof(f1205,plain,
( ~ spl0_1
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1204]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f240]) ).
cnf(s3,plain,
( spl0_6
| spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f262]) ).
cnf(s8,plain,
( spl0_3
| spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f295]) ).
cnf(s11,plain,
( spl0_2
| spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f310]) ).
cnf(s15,plain,
( spl0_4
| spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f314]) ).
cnf(s17,plain,
( spl0_4
| spl0_10
| spl0_18 ),
inference(sat_conversion,[],[f316]) ).
cnf(s19,plain,
( spl0_1
| spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f318]) ).
cnf(s20,plain,
( spl0_1
| spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f319]) ).
cnf(s22,plain,
( spl0_8
| spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f321]) ).
cnf(s23,plain,
( spl0_1
| spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f322]) ).
cnf(s26,plain,
( spl0_5
| spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f325]) ).
cnf(s28,plain,
( spl0_1
| spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f327]) ).
cnf(s32,plain,
( spl0_5
| spl0_7
| spl0_16 ),
inference(sat_conversion,[],[f331]) ).
cnf(s34,plain,
( spl0_5
| spl0_8
| spl0_17 ),
inference(sat_conversion,[],[f333]) ).
cnf(s36,plain,
( spl0_2
| spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f335]) ).
cnf(s39,plain,
( spl0_6
| spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f338]) ).
cnf(s40,plain,
( spl0_8
| spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f339]) ).
cnf(s42,plain,
( spl0_3
| spl0_9
| spl0_16 ),
inference(sat_conversion,[],[f341]) ).
cnf(s44,plain,
( spl0_3
| spl0_6
| spl0_16 ),
inference(sat_conversion,[],[f343]) ).
cnf(s48,plain,
( spl0_23
| spl0_24 ),
inference(sat_conversion,[],[f407]) ).
cnf(s67,plain,
( ~ spl0_7
| ~ spl0_10 ),
inference(sat_conversion,[],[f496]) ).
cnf(s71,plain,
( ~ spl0_7
| ~ spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f501]) ).
cnf(s76,plain,
( ~ spl0_2
| ~ spl0_16 ),
inference(sat_conversion,[],[f543]) ).
cnf(s78,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_16 ),
inference(sat_conversion,[],[f546]) ).
cnf(s84,plain,
( ~ spl0_9
| ~ spl0_11 ),
inference(sat_conversion,[],[f589]) ).
cnf(s93,plain,
( ~ spl0_12
| ~ spl0_18 ),
inference(sat_conversion,[],[f637]) ).
cnf(s95,plain,
( ~ spl0_12
| spl0_16
| ~ spl0_18 ),
inference(sat_conversion,[],[f641]) ).
cnf(s122,plain,
( ~ spl0_4
| ~ spl0_17 ),
inference(sat_conversion,[],[f826]) ).
cnf(s136,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f904]) ).
cnf(s137,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f906]) ).
cnf(s152,plain,
( ~ spl0_14
| ~ spl0_23 ),
inference(sat_conversion,[],[f960]) ).
cnf(s155,plain,
( ~ spl0_3
| ~ spl0_13 ),
inference(sat_conversion,[],[f991]) ).
cnf(s158,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_13 ),
inference(sat_conversion,[],[f997]) ).
cnf(s200,plain,
( ~ spl0_15
| ~ spl0_24 ),
inference(sat_conversion,[],[f1164]) ).
cnf(s205,plain,
( ~ spl0_1
| ~ spl0_8 ),
inference(sat_conversion,[],[f1205]) ).
cnf(s211,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s28,s67,s122,s11,s19,s158,s1]) ).
cnf(s212,plain,
( spl0_16
| spl0_1 ),
inference(rat,[],[s155,s19,s44,s122,s137,s15,s20,s93,s23]) ).
cnf(s213,plain,
( ~ spl0_2
| spl0_1 ),
inference(rat,[],[s212,s78]) ).
cnf(s214,plain,
spl0_1,
inference(rat,[],[s213,s211]) ).
cnf(s215,plain,
~ spl0_8,
inference(rat,[],[s205,s214]) ).
cnf(s216,plain,
( spl0_7
| spl0_2 ),
inference(rat,[],[s8,s136,s155,s3,s11,s215]) ).
cnf(s217,plain,
spl0_2,
inference(rat,[],[s216,s71,s22,s152,s48,s200,s36,s215]) ).
cnf(s218,plain,
~ spl0_16,
inference(rat,[],[s76,s217]) ).
cnf(s220,plain,
( spl0_5
| spl0_18 ),
inference(rat,[],[s17,s122,s67,s34,s32,s215,s218]) ).
cnf(s221,plain,
spl0_13,
inference(rat,[],[s152,s48,s22,s200,s67,s39,s3,s136,s220,s95,s40,s215,s218]) ).
cnf(s222,plain,
~ spl0_3,
inference(rat,[],[s155,s221]) ).
cnf(s223,plain,
spl0_6,
inference(rat,[],[s44,s218,s222]) ).
cnf(s224,plain,
spl0_9,
inference(rat,[],[s42,s218,s222]) ).
cnf(s226,plain,
~ spl0_5,
inference(rat,[],[s136,s223]) ).
cnf(s227,plain,
~ spl0_11,
inference(rat,[],[s84,s224]) ).
cnf(s232,plain,
$false,
inference(rat,[],[s26,s215,s226,s227]) ).
fof(f1216,plain,
$false,
inference(avatar_sat_refutation,[],[s232]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS102+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n011.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 13:22:30 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.48 % (2408660)Will run a generic schedule for satisfiability detection.
% 0.17/0.48 % (2408665)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2815798293_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.48 % Detected minimum model sizes of [1]
% 0.17/0.48 % Detected maximum model sizes of [20]
% 0.17/0.48 % TRYING [1]
% 0.17/0.48 % TRYING [2]
% 0.17/0.48 % (2408666)% WARNING: option uhcvi not known.
% 0.17/0.48 % TRYING [3]
% 0.17/0.48 % TRYING [4]
% 0.17/0.48 % TRYING [5]
% 0.17/0.48 % (2408668)dis+10_1_sil=32000:sp=arity:random_seed=2696197272:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.48 % (2408666)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3038013638:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.48 % (2408667)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1329881309:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.48 % (2408669)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2163589240:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.48 % TRYING [6]
% 0.17/0.48 % (2408671)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=324617102:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.48 % (2408670)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2209454643:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.48 % TRYING [7]
% 0.17/0.48 % TRYING [8]
% 0.17/0.48 % TRYING [9]
% 0.17/0.48 % TRYING [10]
% 0.17/0.48 % (2408666) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2408660-2408666"...
% 0.17/0.48 % TRYING [11]
% 0.17/0.48 % (2408666)...printing done.
% 0.17/0.48 % (2408666)Refutation found. Thanks to Tanya!
% 0.17/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48 % (2408666)------------------------------
% 0.17/0.48 % (2408666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.48 % (2408666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.48 % (2408666)CaDiCaL version: 2.1.3
% 0.17/0.48 % (2408666)Termination reason: Refutation
% 0.17/0.48 % (2408666)Time elapsed: 0.015 s
% 0.17/0.48 % (2408666)Peak memory usage: 13 MB
% 0.17/0.48 % (2408666)Instructions burned: 23 (million)
% 0.17/0.48 % (2408660)Success in time 0.055 s
% 0.17/0.48 % Vampire exiting
%------------------------------------------------------------------------------