%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC053-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 01:02:13 PM UTC 2026
% Result : Unsatisfiable 2.59s 1.29s
% Output : Refutation 3.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 37
% Syntax : Number of formulae : 137 ( 22 unt; 14 def)
% Number of atoms : 365 ( 36 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 434 ( 206 ~; 214 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 15 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f84,axiom,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f118,axiom,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f143,axiom,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
fof(f187,axiom,
! [X2,X3,X0,X1] :
( app(app(X0,X1),X2) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| segmentP(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f201,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
( ssList(sk5)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( ssList(sk5)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( neq(sk5,nil)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( frontsegP(sk4,sk5)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( frontsegP(sk3,sk5)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( neq(sk5,nil)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f212,negated_conjecture,
( frontsegP(sk4,sk5)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f213,negated_conjecture,
( frontsegP(sk3,sk5)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f215,negated_conjecture,
! [X0] :
( nil = sk2
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f216,negated_conjecture,
( nil != sk1
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f217,negated_conjecture,
! [X0] :
( nil != sk1
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f224,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f118]) ).
fof(f232,plain,
! [X2,X0,X1] :
( ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f187]) ).
fof(f246,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f224]) ).
fof(f249,definition,
( spl0_1
<=> ! [X0] :
( ~ ssList(X0)
| ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f250,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f252,definition,
( spl0_2
<=> nil = sk1 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f254,plain,
( nil != sk1
| spl0_2 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f255,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f217,f252,f249]) ).
fof(f257,definition,
( spl0_3
<=> neq(sk2,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f259,plain,
( neq(sk2,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f260,plain,
( spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f216,f252,f257]) ).
fof(f262,definition,
( spl0_4
<=> nil = sk2 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f264,plain,
( nil = sk2
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f265,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f215,f262,f249]) ).
fof(f268,definition,
( spl0_5
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f272,definition,
( spl0_6
<=> frontsegP(sk3,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f274,plain,
( frontsegP(sk3,sk5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f275,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f213,f272,f268]) ).
fof(f277,definition,
( spl0_7
<=> frontsegP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f279,plain,
( frontsegP(sk4,sk5)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f280,plain,
( spl0_5
| spl0_7 ),
inference(avatar_split_clause,[],[f212,f277,f268]) ).
fof(f282,definition,
( spl0_8
<=> neq(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f284,plain,
( neq(sk5,nil)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f285,plain,
( spl0_5
| spl0_8 ),
inference(avatar_split_clause,[],[f211,f282,f268]) ).
fof(f287,definition,
( spl0_9
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f289,plain,
( nil = sk4
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f290,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f210,f272,f287]) ).
fof(f291,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f209,f277,f287]) ).
fof(f292,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f208,f282,f287]) ).
fof(f294,definition,
( spl0_10
<=> ssList(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f296,plain,
( ssList(sk5)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f297,plain,
( spl0_5
| spl0_10 ),
inference(avatar_split_clause,[],[f207,f294,f268]) ).
fof(f298,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f206,f294,f287]) ).
fof(f304,definition,
( spl0_12
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f305,plain,
( ssList(nil)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f340,plain,
spl0_12,
inference(avatar_split_clause,[],[f8,f304]) ).
fof(f343,plain,
( nil != sk3
| spl0_2 ),
inference(forward_demodulation,[],[f254,f205]) ).
fof(f344,plain,
( ~ spl0_5
| spl0_2 ),
inference(avatar_split_clause,[],[f343,f252,f268]) ).
fof(f345,plain,
( frontsegP(sk2,sk5)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f279,f204]) ).
fof(f349,plain,
( nil = sk2
| ~ spl0_9 ),
inference(superposition,[],[f204,f289]) ).
fof(f352,plain,
( frontsegP(nil,sk5)
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f345,f264]) ).
fof(f383,plain,
( ! [X0] :
( ~ neq(X0,nil)
| ~ ssList(X0)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk3,X0) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f250,f205]) ).
fof(f384,plain,
( neq(nil,nil)
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f259,f264]) ).
fof(f386,definition,
( spl0_20
<=> nil = sk5 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f388,plain,
( nil = sk5
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f393,plain,
( spl0_4
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f349,f287,f262]) ).
fof(f403,plain,
( ~ ssList(sk5)
| nil = sk5
| ~ spl0_4
| ~ spl0_7 ),
inference(resolution,[],[f352,f84]) ).
fof(f419,plain,
( spl0_20
| ~ spl0_10
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f403,f277,f262,f294,f386]) ).
fof(f423,plain,
( neq(nil,nil)
| ~ spl0_8
| ~ spl0_20 ),
inference(superposition,[],[f284,f388]) ).
fof(f444,plain,
( ~ ssList(nil)
| ~ spl0_3
| ~ spl0_4 ),
inference(resolution,[],[f246,f384]) ).
fof(f445,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f444,f305]) ).
fof(f446,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f445]) ).
fof(f451,plain,
( ~ ssList(nil)
| ~ spl0_8
| ~ spl0_20 ),
inference(resolution,[],[f423,f246]) ).
fof(f452,plain,
( $false
| ~ spl0_8
| ~ spl0_12
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f451,f305]) ).
fof(f453,plain,
( ~ spl0_8
| ~ spl0_12
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f452]) ).
fof(f454,plain,
( ~ ssList(sk5)
| ~ segmentP(sk2,sk5)
| ~ segmentP(sk3,sk5)
| ~ spl0_1
| ~ spl0_8 ),
inference(resolution,[],[f383,f284]) ).
fof(f457,plain,
( ~ segmentP(sk2,sk5)
| ~ segmentP(sk3,sk5)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f454,f296]) ).
fof(f468,definition,
( spl0_25
<=> segmentP(sk3,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f472,definition,
( spl0_26
<=> segmentP(sk2,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f474,plain,
( ~ segmentP(sk2,sk5)
| spl0_26 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f475,plain,
( ~ spl0_25
| ~ spl0_26
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f457,f294,f282,f249,f472,f468]) ).
fof(f573,plain,
( ~ ssList(sk5)
| ~ ssList(sk3)
| sk3 = app(sk5,skaf45(sk3,sk5))
| ~ spl0_6 ),
inference(resolution,[],[f143,f274]) ).
fof(f574,plain,
( ~ ssList(sk5)
| ~ ssList(sk2)
| sk2 = app(sk5,skaf45(sk2,sk5))
| ~ spl0_7 ),
inference(resolution,[],[f143,f345]) ).
fof(f583,plain,
( ~ ssList(sk2)
| sk2 = app(sk5,skaf45(sk2,sk5))
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f574,f296]) ).
fof(f584,plain,
( ~ ssList(sk3)
| sk3 = app(sk5,skaf45(sk3,sk5))
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f573,f296]) ).
fof(f585,plain,
( sk2 = app(sk5,skaf45(sk2,sk5))
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f583,f201]) ).
fof(f586,plain,
( sk3 = app(sk5,skaf45(sk3,sk5))
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f584,f202]) ).
fof(f797,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(X0,X1),X0)
| ~ ssList(X0) ),
inference(superposition,[],[f232,f74]) ).
fof(f808,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(X0,X1),X0) ),
inference(duplicate_literal_removal,[],[f797]) ).
fof(f810,plain,
( ! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(X0,X1),X0) )
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f808,f305]) ).
fof(f1958,plain,
( ! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f810,f85]) ).
fof(f1992,plain,
( segmentP(sk2,sk5)
| ~ ssList(skaf45(sk2,sk5))
| ~ ssList(sk5)
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f1958,f585]) ).
fof(f1993,plain,
( segmentP(sk3,sk5)
| ~ ssList(skaf45(sk3,sk5))
| ~ ssList(sk5)
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f1958,f586]) ).
fof(f2003,plain,
( segmentP(sk3,sk5)
| ~ ssList(sk5)
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f1993,f51]) ).
fof(f2004,plain,
( ~ ssList(skaf45(sk2,sk5))
| ~ ssList(sk5)
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f1992,f474]) ).
fof(f2013,plain,
( segmentP(sk3,sk5)
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f2003,f296]) ).
fof(f2014,plain,
( ~ ssList(sk5)
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f2004,f51]) ).
fof(f2021,plain,
( spl0_25
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f2013,f304,f294,f272,f468]) ).
fof(f2022,plain,
( $false
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f2014,f296]) ).
fof(f2023,plain,
( ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| spl0_26 ),
inference(avatar_contradiction_clause,[],[f2022]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f255]) ).
cnf(s2,plain,
( ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f260]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f265]) ).
cnf(s5,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f275]) ).
cnf(s6,plain,
( spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f280]) ).
cnf(s7,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f285]) ).
cnf(s8,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f290]) ).
cnf(s9,plain,
( spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f291]) ).
cnf(s10,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f292]) ).
cnf(s11,plain,
( spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f297]) ).
cnf(s12,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f298]) ).
cnf(s22,plain,
spl0_12,
inference(sat_conversion,[],[f340]) ).
cnf(s23,plain,
( spl0_2
| ~ spl0_5 ),
inference(sat_conversion,[],[f344]) ).
cnf(s29,plain,
( spl0_4
| ~ spl0_9 ),
inference(sat_conversion,[],[f393]) ).
cnf(s37,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| spl0_20 ),
inference(sat_conversion,[],[f419]) ).
cnf(s41,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_12 ),
inference(sat_conversion,[],[f446]) ).
cnf(s43,plain,
( ~ spl0_8
| ~ spl0_12
| ~ spl0_20 ),
inference(sat_conversion,[],[f453]) ).
cnf(s45,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_25
| ~ spl0_26 ),
inference(sat_conversion,[],[f475]) ).
cnf(s108,plain,
( ~ spl0_6
| ~ spl0_10
| ~ spl0_12
| spl0_25 ),
inference(sat_conversion,[],[f2021]) ).
cnf(s109,plain,
( ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| spl0_26 ),
inference(sat_conversion,[],[f2023]) ).
cnf(s117,plain,
spl0_1,
inference(rat,[],[s37,s43,s6,s7,s11,s23,s1,s3,s22]) ).
cnf(s118,plain,
spl0_5,
inference(rat,[],[s45,s108,s109,s5,s6,s7,s11,s117,s22]) ).
cnf(s119,plain,
spl0_2,
inference(rat,[],[s23,s118]) ).
cnf(s120,plain,
spl0_3,
inference(rat,[],[s2,s119]) ).
cnf(s121,plain,
~ spl0_4,
inference(rat,[],[s41,s22,s120]) ).
cnf(s122,plain,
~ spl0_9,
inference(rat,[],[s29,s121]) ).
cnf(s123,plain,
spl0_10,
inference(rat,[],[s12,s122]) ).
cnf(s124,plain,
spl0_8,
inference(rat,[],[s10,s122]) ).
cnf(s125,plain,
spl0_7,
inference(rat,[],[s9,s122]) ).
cnf(s126,plain,
spl0_6,
inference(rat,[],[s8,s122]) ).
cnf(s128,plain,
spl0_26,
inference(rat,[],[s109,s123,s22,s125]) ).
cnf(s129,plain,
spl0_25,
inference(rat,[],[s108,s123,s22,s126]) ).
cnf(s133,plain,
$false,
inference(rat,[],[s45,s124,s123,s117,s128,s129]) ).
fof(f2024,plain,
$false,
inference(avatar_sat_refutation,[],[s133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC053-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 07:38:07 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 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
% 2.59/1.29 % (185141)Input is clausal, will run a generic CNF schedule.
% 2.59/1.29 % (185149)lrs+10_1_sil=8000:sp=occurrence:random_seed=864571402:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.59/1.29 % (185149)Instruction limit reached!
% 2.59/1.29 % (185149)------------------------------
% 2.59/1.29 % (185149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.29 % (185149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.29 % (185149)CaDiCaL version: 2.1.3
% 2.59/1.29 % (185149)Termination reason: Instruction limit
% 2.59/1.29 % (185149)Termination phase: Saturation
% 2.59/1.29 % (185149)Time elapsed: 0.037 s
% 2.59/1.29 % (185149)Peak memory usage: 90 MB
% 2.59/1.29 % (185149)Instructions burned: 109 (million)
% 2.59/1.29 % (185147)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3037749369:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.59/1.29 % (185146)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=4245112953:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.59/1.29 % (185151)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3908493709:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.59/1.29 % (185148)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1628384968:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.59/1.29 % (185150)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3041100590:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.59/1.29 % (185152)dis-21_1_sil=8000:lcm=predicate:random_seed=3455664277:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.59/1.29 % (185151)First to succeed.
% 2.59/1.29 % (185151)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-185141"
% 2.59/1.29 % (185152)Instruction limit reached!
% 2.59/1.29 % (185152)------------------------------
% 2.59/1.29 % (185152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.29 % (185152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.29 % (185152)CaDiCaL version: 2.1.3
% 2.59/1.29 % (185152)Termination reason: Instruction limit
% 2.59/1.29 % (185152)Termination phase: Saturation
% 2.59/1.29 % (185152)Time elapsed: 0.048 s
% 2.59/1.29 % (185152)Peak memory usage: 89 MB
% 2.59/1.29 % (185152)Instructions burned: 117 (million)
% 2.59/1.29 % (185150)Instruction limit reached!
% 2.59/1.29 % (185150)------------------------------
% 2.59/1.29 % (185150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.29 % (185150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.29 % (185150)CaDiCaL version: 2.1.3
% 2.59/1.29 % (185150)Termination reason: Instruction limit
% 2.59/1.29 % (185150)Termination phase: Saturation
% 2.59/1.29 % (185150)Time elapsed: 0.058 s
% 2.59/1.29 % (185150)Peak memory usage: 89 MB
% 2.59/1.29 % (185150)Instructions burned: 114 (million)
% 2.59/1.29 % (185154)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=679638554:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.59/1.29 % (185154)Instruction limit reached!
% 2.59/1.29 % (185154)------------------------------
% 2.59/1.29 % (185154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.29 % (185154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.29 % (185154)CaDiCaL version: 2.1.3
% 2.59/1.29 % (185154)Termination reason: Instruction limit
% 2.59/1.29 % (185154)Termination phase: Saturation
% 2.59/1.29 % (185154)Time elapsed: 0.051 s
% 2.59/1.29 % (185154)Peak memory usage: 89 MB
% 2.59/1.29 % (185154)Instructions burned: 143 (million)
% 2.59/1.29 % (185161)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1174559952:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 2.59/1.29 % (185162)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3573172438:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 2.59/1.29 % (185164)lrs+10_64_to=lpo:sil=8000:random_seed=1039306711:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 2.59/1.29 % (185164)Instruction limit reached!
% 2.59/1.29 % (185164)------------------------------
% 2.59/1.29 % (185164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.29 % (185164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.29 % (185164)CaDiCaL version: 2.1.3
% 2.59/1.29 % (185164)Termination reason: Instruction limit
% 2.59/1.29 % (185164)Termination phase: Saturation
% 2.59/1.29 % (185164)Time elapsed: 0.036 s
% 2.59/1.29 % (185164)Peak memory usage: 90 MB
% 2.59/1.29 % (185164)Instructions burned: 127 (million)
% 2.59/1.29 % (185161)Instruction limit reached!
% 2.59/1.29 % (185161)------------------------------
% 2.59/1.29 % (185161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.29 % (185161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.29 % (185161)CaDiCaL version: 2.1.3
% 2.59/1.29 % (185161)Termination reason: Instruction limit
% 2.59/1.29 % (185161)Termination phase: Saturation
% 2.59/1.29 % (185161)Time elapsed: 0.098 s
% 2.59/1.29 % (185161)Peak memory usage: 91 MB
% 2.59/1.29 % (185161)Instructions burned: 190 (million)
% 2.59/1.29 % (185151)Refutation found. Thanks to Tanya!
% 2.59/1.29 % SZS status Unsatisfiable for theBenchmark
% 2.59/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.73/1.48 % (185151)------------------------------
% 3.73/1.48 % (185151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.48 % (185151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.48 % (185151)CaDiCaL version: 2.1.3
% 3.73/1.48 % (185151)Termination reason: Refutation
% 3.73/1.48 % (185151)Time elapsed: 0.047 s
% 3.73/1.48 % (185151)Peak memory usage: 90 MB
% 3.73/1.48 % (185151)Instructions burned: 57 (million)
% 3.73/1.48 % (185151)------------------------------
% 3.73/1.48 % (185151)------------------------------
% 3.73/1.48 % (185141)Success in time 0.449 s
% 3.73/1.48 % Vampire exiting
%------------------------------------------------------------------------------