%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC335-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 01:03:31 PM UTC 2026
% Result : Unsatisfiable 6.54s 1.49s
% Output : Refutation 7.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 38
% Syntax : Number of formulae : 136 ( 28 unt; 13 def)
% Number of atoms : 364 ( 42 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 425 ( 197 ~; 216 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 13 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
fof(f67,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f79,axiom,
! [X0] :
( nil != X0
| ~ ssList(X0)
| segmentP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) = cons(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f126,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(reorient_equations,[],[f125]) ).
fof(f182,axiom,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
fof(f186,axiom,
! [X2,X3,X0,X1] :
( segmentP(app(app(X3,X0),X2),X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
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/sandbox2/benchmark/theBenchmark.p',clause173) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
( ssItem(sk5)
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( ssItem(sk5)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,plain,
( sk3 = cons(sk5,nil)
| nil = sk4 ),
inference(reorient_equations,[],[f208]) ).
fof(f210,negated_conjecture,
( memberP(sk4,sk5)
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f212,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f213,plain,
( sk3 = cons(sk5,nil)
| nil = sk3 ),
inference(reorient_equations,[],[f212]) ).
fof(f214,negated_conjecture,
( memberP(sk4,sk5)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f216,negated_conjecture,
( ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f219,plain,
( ~ segmentP(sk4,sk3)
| ~ totalorderedP(sk3) ),
inference(definition_unfolding,[],[f216,f204,f205,f205]) ).
fof(f220,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(equality_resolution,[],[f79]) ).
fof(f234,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X2) ),
inference(equality_resolution,[],[f187]) ).
fof(f244,definition,
sF0 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f245,plain,
cons(sk5,nil) = sF0,
inference(reorient_equations,[],[f244]) ).
fof(f246,plain,
( sk3 = sF0
| nil = sk4 ),
inference(definition_folding,[],[f209,f245]) ).
fof(f247,plain,
( sk3 = sF0
| nil = sk3 ),
inference(definition_folding,[],[f213,f245]) ).
fof(f255,definition,
( spl1_1
<=> totalorderedP(sk3) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f257,plain,
( ~ totalorderedP(sk3)
| spl1_1 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f259,definition,
( spl1_2
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f261,plain,
( ~ segmentP(sk4,sk3)
| spl1_2 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f262,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f219,f259,f255]) ).
fof(f264,definition,
( spl1_3
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f266,plain,
( nil = sk3
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f272,definition,
( spl1_5
<=> memberP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f274,plain,
( memberP(sk4,sk5)
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f275,plain,
( spl1_3
| spl1_5 ),
inference(avatar_split_clause,[],[f214,f272,f264]) ).
fof(f277,definition,
( spl1_6
<=> sk3 = sF0 ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
fof(f279,plain,
( sk3 = sF0
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f280,plain,
( spl1_3
| spl1_6 ),
inference(avatar_split_clause,[],[f247,f277,f264]) ).
fof(f282,definition,
( spl1_7
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
fof(f284,plain,
( nil = sk4
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f286,plain,
( spl1_7
| spl1_5 ),
inference(avatar_split_clause,[],[f210,f272,f282]) ).
fof(f287,plain,
( spl1_7
| spl1_6 ),
inference(avatar_split_clause,[],[f246,f277,f282]) ).
fof(f289,definition,
( spl1_8
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
fof(f291,plain,
( ssItem(sk5)
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f292,plain,
( spl1_3
| spl1_8 ),
inference(avatar_split_clause,[],[f207,f289,f264]) ).
fof(f293,plain,
( spl1_7
| spl1_8 ),
inference(avatar_split_clause,[],[f206,f289,f282]) ).
fof(f299,definition,
( spl1_10
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
fof(f300,plain,
( ssList(nil)
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f304,definition,
( spl1_11
<=> ! [X1] :
( ~ ssItem(X1)
| totalorderedP(cons(X1,nil)) ) ),
introduced(definition,[new_symbols(definition,[spl1_11])],[avatar_definition]) ).
fof(f305,plain,
( ! [X1] :
( totalorderedP(cons(X1,nil))
| ~ ssItem(X1) )
| ~ spl1_11 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f322,definition,
( spl1_15
<=> segmentP(nil,nil) ),
introduced(definition,[new_symbols(definition,[spl1_15])],[avatar_definition]) ).
fof(f324,plain,
( segmentP(nil,nil)
| ~ spl1_15 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f325,plain,
( spl1_15
| ~ spl1_10 ),
inference(avatar_split_clause,[],[f220,f299,f322]) ).
fof(f333,plain,
spl1_11,
inference(avatar_split_clause,[],[f67,f304]) ).
fof(f335,plain,
spl1_10,
inference(avatar_split_clause,[],[f8,f299]) ).
fof(f336,plain,
( totalorderedP(sF0)
| ~ ssItem(sk5)
| ~ spl1_11 ),
inference(superposition,[],[f305,f245]) ).
fof(f338,plain,
( ~ segmentP(nil,sk3)
| spl1_2
| ~ spl1_7 ),
inference(superposition,[],[f261,f284]) ).
fof(f341,plain,
( ~ segmentP(nil,nil)
| spl1_2
| ~ spl1_3
| ~ spl1_7 ),
inference(forward_demodulation,[],[f338,f266]) ).
fof(f344,plain,
( $false
| spl1_2
| ~ spl1_3
| ~ spl1_7
| ~ spl1_15 ),
inference(forward_subsumption_resolution,[],[f341,f324]) ).
fof(f345,plain,
( spl1_2
| ~ spl1_3
| ~ spl1_7
| ~ spl1_15 ),
inference(avatar_contradiction_clause,[],[f344]) ).
fof(f352,plain,
( totalorderedP(sk3)
| ~ ssItem(sk5)
| ~ spl1_6
| ~ spl1_11 ),
inference(forward_demodulation,[],[f336,f279]) ).
fof(f356,plain,
( totalorderedP(sk3)
| ~ spl1_6
| ~ spl1_8
| ~ spl1_11 ),
inference(forward_subsumption_resolution,[],[f352,f291]) ).
fof(f357,plain,
( spl1_1
| ~ spl1_6
| ~ spl1_8
| ~ spl1_11 ),
inference(avatar_split_clause,[],[f356,f304,f289,f277,f255]) ).
fof(f358,plain,
sk3 = app(nil,sk3),
inference(resolution,[],[f74,f202]) ).
fof(f363,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f73,f203]) ).
fof(f368,plain,
! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(app(sk3,X0))
| ~ ssList(X0) ),
inference(superposition,[],[f234,f358]) ).
fof(f369,plain,
! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f368,f85]) ).
fof(f370,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(sk3)
| ~ ssList(X0) )
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f369,f300]) ).
fof(f371,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(X0) )
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f370,f202]) ).
fof(f406,plain,
( ~ ssItem(sk5)
| ~ ssList(sk4)
| sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_5 ),
inference(resolution,[],[f182,f274]) ).
fof(f407,plain,
( ~ ssList(sk4)
| sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_5
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f406,f291]) ).
fof(f408,plain,
( sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_5
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f407,f203]) ).
fof(f409,plain,
( ! [X0,X1] :
( segmentP(app(sk4,X0),X1)
| ~ ssList(X0)
| ~ ssList(skaf42(sk4,sk5))
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1) )
| ~ spl1_5
| ~ spl1_8 ),
inference(superposition,[],[f186,f408]) ).
fof(f412,plain,
( ! [X0,X1] :
( segmentP(app(sk4,X0),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1) )
| ~ spl1_5
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f409,f53]) ).
fof(f414,definition,
( spl1_18
<=> ssList(cons(sk5,skaf43(sk5,sk4))) ),
introduced(definition,[new_symbols(definition,[spl1_18])],[avatar_definition]) ).
fof(f416,plain,
( ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| spl1_18 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f422,definition,
( spl1_20
<=> ! [X0,X1] :
( segmentP(app(sk4,X0),X1)
| ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl1_20])],[avatar_definition]) ).
fof(f423,plain,
( ! [X0,X1] :
( ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1)
| segmentP(app(sk4,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl1_20 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f424,plain,
( ~ spl1_18
| spl1_20
| ~ spl1_5
| ~ spl1_8 ),
inference(avatar_split_clause,[],[f412,f289,f272,f422,f414]) ).
fof(f425,plain,
( ~ ssList(skaf43(sk5,sk4))
| ~ ssItem(sk5)
| spl1_18 ),
inference(resolution,[],[f416,f86]) ).
fof(f426,plain,
( ~ ssItem(sk5)
| spl1_18 ),
inference(forward_subsumption_resolution,[],[f425,f52]) ).
fof(f427,plain,
( $false
| ~ spl1_8
| spl1_18 ),
inference(forward_subsumption_resolution,[],[f426,f291]) ).
fof(f428,plain,
( ~ spl1_8
| spl1_18 ),
inference(avatar_contradiction_clause,[],[f427]) ).
fof(f441,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk5,X0) = app(cons(sk5,nil),X0) )
| ~ spl1_8 ),
inference(resolution,[],[f126,f291]) ).
fof(f442,plain,
( ! [X0] :
( cons(sk5,X0) = app(sF0,X0)
| ~ ssList(X0) )
| ~ spl1_8 ),
inference(forward_demodulation,[],[f441,f245]) ).
fof(f443,plain,
( ! [X0] :
( ~ ssList(X0)
| app(sk3,X0) = cons(sk5,X0) )
| ~ spl1_6
| ~ spl1_8 ),
inference(forward_demodulation,[],[f442,f279]) ).
fof(f457,plain,
( ! [X0,X1] : app(sk3,skaf43(X0,X1)) = cons(sk5,skaf43(X0,X1))
| ~ spl1_6
| ~ spl1_8 ),
inference(resolution,[],[f52,f443]) ).
fof(f461,plain,
( ! [X0,X1] :
( ~ segmentP(app(sk3,skaf43(sk5,sk4)),X0)
| segmentP(app(sk4,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl1_6
| ~ spl1_8
| ~ spl1_20 ),
inference(superposition,[],[f423,f457]) ).
fof(f472,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(skaf43(sk5,sk4)) )
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10
| ~ spl1_20 ),
inference(resolution,[],[f461,f371]) ).
fof(f476,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(X0)
| ~ ssList(skaf43(sk5,sk4)) )
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10
| ~ spl1_20 ),
inference(forward_subsumption_resolution,[],[f472,f202]) ).
fof(f477,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(X0) )
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10
| ~ spl1_20 ),
inference(forward_subsumption_resolution,[],[f476,f52]) ).
fof(f478,plain,
( segmentP(sk4,sk3)
| ~ ssList(nil)
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10
| ~ spl1_20 ),
inference(superposition,[],[f477,f363]) ).
fof(f479,plain,
( ~ ssList(nil)
| spl1_2
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10
| ~ spl1_20 ),
inference(forward_subsumption_resolution,[],[f478,f261]) ).
fof(f480,plain,
( $false
| spl1_2
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10
| ~ spl1_20 ),
inference(forward_subsumption_resolution,[],[f479,f300]) ).
fof(f481,plain,
( spl1_2
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10
| ~ spl1_20 ),
inference(avatar_contradiction_clause,[],[f480]) ).
fof(f489,plain,
( ~ totalorderedP(nil)
| spl1_1
| ~ spl1_3 ),
inference(superposition,[],[f257,f266]) ).
fof(f490,plain,
( $false
| spl1_1
| ~ spl1_3 ),
inference(forward_subsumption_resolution,[],[f489,f4]) ).
fof(f491,plain,
( spl1_1
| ~ spl1_3 ),
inference(avatar_contradiction_clause,[],[f490]) ).
cnf(s1,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f262]) ).
cnf(s3,plain,
( spl1_3
| spl1_5 ),
inference(sat_conversion,[],[f275]) ).
cnf(s4,plain,
( spl1_3
| spl1_6 ),
inference(sat_conversion,[],[f280]) ).
cnf(s6,plain,
( spl1_5
| spl1_7 ),
inference(sat_conversion,[],[f286]) ).
cnf(s7,plain,
( spl1_6
| spl1_7 ),
inference(sat_conversion,[],[f287]) ).
cnf(s8,plain,
( spl1_3
| spl1_8 ),
inference(sat_conversion,[],[f292]) ).
cnf(s9,plain,
( spl1_7
| spl1_8 ),
inference(sat_conversion,[],[f293]) ).
cnf(s15,plain,
( ~ spl1_10
| spl1_15 ),
inference(sat_conversion,[],[f325]) ).
cnf(s17,plain,
spl1_11,
inference(sat_conversion,[],[f333]) ).
cnf(s19,plain,
spl1_10,
inference(sat_conversion,[],[f335]) ).
cnf(s21,plain,
( spl1_2
| ~ spl1_3
| ~ spl1_7
| ~ spl1_15 ),
inference(sat_conversion,[],[f345]) ).
cnf(s24,plain,
( spl1_1
| ~ spl1_6
| ~ spl1_8
| ~ spl1_11 ),
inference(sat_conversion,[],[f357]) ).
cnf(s26,plain,
( ~ spl1_5
| ~ spl1_8
| ~ spl1_18
| spl1_20 ),
inference(sat_conversion,[],[f424]) ).
cnf(s27,plain,
( ~ spl1_8
| spl1_18 ),
inference(sat_conversion,[],[f428]) ).
cnf(s28,plain,
( spl1_2
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10
| ~ spl1_20 ),
inference(sat_conversion,[],[f481]) ).
cnf(s29,plain,
( spl1_1
| ~ spl1_3 ),
inference(sat_conversion,[],[f491]) ).
cnf(s30,plain,
spl1_15,
inference(rat,[],[s15,s19]) ).
cnf(s34,plain,
spl1_1,
inference(rat,[],[s24,s4,s8,s29,s17]) ).
cnf(s35,plain,
~ spl1_2,
inference(rat,[],[s1,s34]) ).
cnf(s36,plain,
spl1_3,
inference(rat,[],[s26,s28,s27,s3,s4,s8,s19,s35]) ).
cnf(s37,plain,
~ spl1_7,
inference(rat,[],[s21,s30,s35,s36]) ).
cnf(s38,plain,
spl1_8,
inference(rat,[],[s9,s37]) ).
cnf(s39,plain,
spl1_6,
inference(rat,[],[s7,s37]) ).
cnf(s40,plain,
spl1_5,
inference(rat,[],[s6,s37]) ).
cnf(s42,plain,
spl1_18,
inference(rat,[],[s27,s38]) ).
cnf(s43,plain,
~ spl1_20,
inference(rat,[],[s28,s35,s19,s38,s39]) ).
cnf(s44,plain,
$false,
inference(rat,[],[s26,s38,s42,s43,s40]) ).
fof(f492,plain,
$false,
inference(avatar_sat_refutation,[],[s44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC335-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n016.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 09:14:18 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.54/1.49 % (3496842)Input is clausal, will run a generic CNF schedule.
% 6.54/1.49 % (3496852)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1562360226:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.54/1.49 % (3496847)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=2638679263:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.54/1.49 % (3496853)dis-21_1_sil=8000:lcm=predicate:random_seed=909994311: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)
% 6.54/1.49 % (3496850)lrs+10_1_sil=8000:sp=occurrence:random_seed=4227655904:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.54/1.49 % (3496849)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1250753488:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.54/1.49 % (3496851)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=738564285:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.54/1.49 % (3496848)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3985700015:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.54/1.49 % (3496852)Instruction limit reached!
% 6.54/1.49 % (3496852)------------------------------
% 6.54/1.49 % (3496852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.49 % (3496852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.49 % (3496852)CaDiCaL version: 2.1.3
% 6.54/1.49 % (3496852)Termination reason: Instruction limit
% 6.54/1.49 % (3496852)Termination phase: Saturation
% 6.54/1.49 % (3496852)Time elapsed: 0.067 s
% 6.54/1.49 % (3496852)Peak memory usage: 90 MB
% 6.54/1.49 % (3496852)Instructions burned: 182 (million)
% 6.54/1.49 % (3496853)Instruction limit reached!
% 6.54/1.49 % (3496853)------------------------------
% 6.54/1.49 % (3496853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.49 % (3496853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.49 % (3496853)CaDiCaL version: 2.1.3
% 6.54/1.49 % (3496853)Termination reason: Instruction limit
% 6.54/1.49 % (3496853)Termination phase: Saturation
% 6.54/1.49 % (3496853)Time elapsed: 0.051 s
% 6.54/1.49 % (3496853)Peak memory usage: 89 MB
% 6.54/1.49 % (3496853)Instructions burned: 117 (million)
% 6.54/1.49 % (3496851)Instruction limit reached!
% 6.54/1.49 % (3496851)------------------------------
% 6.54/1.49 % (3496851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.49 % (3496851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.49 % (3496851)CaDiCaL version: 2.1.3
% 6.54/1.49 % (3496851)Termination reason: Instruction limit
% 6.54/1.49 % (3496851)Termination phase: Saturation
% 6.54/1.49 % (3496851)Time elapsed: 0.068 s
% 6.54/1.49 % (3496851)Peak memory usage: 89 MB
% 6.54/1.49 % (3496851)Instructions burned: 114 (million)
% 6.54/1.49 % (3496850)Instruction limit reached!
% 6.54/1.49 % (3496850)------------------------------
% 6.54/1.49 % (3496850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.49 % (3496850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.49 % (3496850)CaDiCaL version: 2.1.3
% 6.54/1.49 % (3496850)Termination reason: Instruction limit
% 6.54/1.49 % (3496850)Termination phase: Saturation
% 6.54/1.49 % (3496850)Time elapsed: 0.069 s
% 6.54/1.49 % (3496850)Peak memory usage: 90 MB
% 6.54/1.49 % (3496850)Instructions burned: 109 (million)
% 6.54/1.49 % (3496861)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=3506395024:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.54/1.49 % (3496861)Instruction limit reached!
% 6.54/1.49 % (3496861)------------------------------
% 6.54/1.49 % (3496861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.49 % (3496861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.49 % (3496861)CaDiCaL version: 2.1.3
% 6.54/1.49 % (3496861)Termination reason: Instruction limit
% 6.54/1.49 % (3496861)Termination phase: Saturation
% 6.54/1.49 % (3496861)Time elapsed: 0.049 s
% 6.54/1.49 % (3496861)Peak memory usage: 89 MB
% 6.54/1.49 % (3496861)Instructions burned: 143 (million)
% 6.54/1.49 % (3496862)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2058776176:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 6.54/1.49 % (3496864)lrs+10_64_to=lpo:sil=8000:random_seed=4173784693:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.54/1.49 % (3496863)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3750452413:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.54/1.49 % (3496867)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=867525665:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 6.54/1.49 % (3496864)Instruction limit reached!
% 6.54/1.49 % (3496864)------------------------------
% 6.54/1.49 % (3496864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.49 % (3496864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.49 % (3496864)CaDiCaL version: 2.1.3
% 6.54/1.49 % (3496864)Termination reason: Instruction limit
% 6.54/1.49 % (3496864)Termination phase: Saturation
% 6.54/1.49 % (3496864)Time elapsed: 0.068 s
% 6.54/1.49 % (3496864)Peak memory usage: 90 MB
% 6.54/1.49 % (3496864)Instructions burned: 127 (million)
% 6.54/1.49 % (3496862)Instruction limit reached!
% 6.54/1.49 % (3496862)------------------------------
% 6.54/1.49 % (3496862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.49 % (3496862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.49 % (3496862)CaDiCaL version: 2.1.3
% 6.54/1.49 % (3496862)Termination reason: Instruction limit
% 6.54/1.49 % (3496862)Termination phase: Saturation
% 6.54/1.49 % (3496862)Time elapsed: 0.100 s
% 6.54/1.49 % (3496862)Peak memory usage: 92 MB
% 6.54/1.49 % (3496862)Instructions burned: 191 (million)
% 6.54/1.49 % (3496867)Instruction limit reached!
% 6.54/1.49 % (3496867)------------------------------
% 6.54/1.49 % (3496867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.49 % (3496867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.49 % (3496867)CaDiCaL version: 2.1.3
% 6.54/1.49 % (3496867)Termination reason: Instruction limit
% 6.54/1.49 % (3496867)Termination phase: Saturation
% 6.54/1.49 % (3496867)Time elapsed: 0.068 s
% 6.54/1.49 % (3496867)Peak memory usage: 90 MB
% 6.54/1.49 % (3496867)Instructions burned: 197 (million)
% 6.54/1.49 % (3496863)Instruction limit reached!
% 6.54/1.49 % (3496863)------------------------------
% 6.54/1.49 % (3496863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.49 % (3496863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.49 % (3496863)CaDiCaL version: 2.1.3
% 6.54/1.49 % (3496863)Termination reason: Instruction limit
% 6.54/1.49 % (3496863)Termination phase: Saturation
% 6.54/1.49 % (3496863)Time elapsed: 0.132 s
% 6.54/1.49 % (3496863)Peak memory usage: 90 MB
% 6.54/1.49 % (3496863)Instructions burned: 220 (million)
% 6.54/1.49 % (3496871)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3333269138:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.54/1.49 % (3496873)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=927025681:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 6.54/1.49 % (3496872)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1545477661:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 6.54/1.49 % (3496873)Instruction limit reached!
% 6.54/1.49 % (3496873)------------------------------
% 6.54/1.49 % (3496873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.49 % (3496873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.49 % (3496873)CaDiCaL version: 2.1.3
% 6.54/1.49 % (3496873)Termination reason: Instruction limit
% 6.54/1.49 % (3496873)Termination phase: Saturation
% 6.54/1.49 % (3496873)Time elapsed: 0.032 s
% 6.54/1.49 % (3496873)Peak memory usage: 90 MB
% 6.54/1.49 % (3496873)Instructions burned: 107 (million)
% 6.54/1.49 % (3496874)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1704632841:i=107_2995 on theBenchmark for (2995ds/107Mi)
% 6.54/1.49 % (3496871)Instruction limit reached!
% 6.54/1.49 % (3496871)------------------------------
% 6.54/1.49 % (3496871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.49 % (3496871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.49 % (3496871)CaDiCaL version: 2.1.3
% 6.54/1.49 % (3496871)Termination reason: Instruction limit
% 6.54/1.49 % (3496871)Termination phase: Saturation
% 6.54/1.49 % (3496871)Time elapsed: 0.089 s
% 6.54/1.49 % (3496871)Peak memory usage: 91 MB
% 6.54/1.49 % (3496871)Instructions burned: 157 (million)
% 6.54/1.49 % (3496878)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3023269634:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2994 on theBenchmark for (2994ds/242Mi)
% 6.54/1.49 % (3496874)Instruction limit reached!
% 6.54/1.49 % (3496874)------------------------------
% 6.54/1.49 % (3496874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.49 % (3496874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.49 % (3496874)CaDiCaL version: 2.1.3
% 6.54/1.49 % (3496874)Termination reason: Instruction limit
% 6.54/1.49 % (3496874)Termination phase: Saturation
% 6.54/1.49 % (3496874)Time elapsed: 0.070 s
% 6.54/1.49 % (3496874)Peak memory usage: 90 MB
% 6.54/1.49 % (3496874)Instructions burned: 107 (million)
% 6.54/1.49 % (3496880)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3519593345:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 6.54/1.49 % (3496878)Instruction limit reached!
% 6.54/1.49 % (3496878)------------------------------
% 6.54/1.49 % (3496878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.49 % (3496878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.49 % (3496878)CaDiCaL version: 2.1.3
% 6.54/1.49 % (3496878)Termination reason: Instruction limit
% 6.54/1.49 % (3496878)Termination phase: Saturation
% 6.54/1.49 % (3496878)Time elapsed: 0.084 s
% 6.54/1.49 % (3496878)Peak memory usage: 90 MB
% 6.54/1.49 % (3496878)Instructions burned: 244 (million)
% 6.54/1.49 % (3496847)First to succeed.
% 6.54/1.49 % (3496847)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3496842"
% 6.54/1.49 % (3496849)Also succeeded, but the first one will report.
% 6.54/1.49 % (3496882)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2381442385:i=134:sd=2:doe=on:ss=axioms:sgt=14_2993 on theBenchmark for (2993ds/134Mi)
% 6.54/1.49 % (3496884)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3623818868:i=499:bd=all_2992 on theBenchmark for (2992ds/499Mi)
% 6.54/1.49 % (3496882)Instruction limit reached!
% 6.54/1.49 % (3496882)------------------------------
% 6.54/1.49 % (3496882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.49 % (3496882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.49 % (3496882)CaDiCaL version: 2.1.3
% 6.54/1.49 % (3496882)Termination reason: Instruction limit
% 6.54/1.49 % (3496882)Termination phase: Saturation
% 6.54/1.49 % (3496882)Time elapsed: 0.095 s
% 6.54/1.49 % (3496882)Peak memory usage: 90 MB
% 6.54/1.49 % (3496882)Instructions burned: 134 (million)
% 6.54/1.49 % (3496884)Instruction limit reached!
% 6.54/1.49 % (3496884)------------------------------
% 6.54/1.49 % (3496884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.49 % (3496884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.49 % (3496884)CaDiCaL version: 2.1.3
% 6.54/1.49 % (3496884)Termination reason: Instruction limit
% 6.54/1.49 % (3496884)Termination phase: Saturation
% 6.54/1.49 % (3496884)Time elapsed: 0.144 s
% 6.54/1.49 % (3496884)Peak memory usage: 98 MB
% 6.54/1.49 % (3496884)Instructions burned: 499 (million)
% 6.54/1.49 % (3496887)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1172649384:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 6.54/1.49 % (3496847)Refutation found. Thanks to Tanya!
% 6.54/1.49 % SZS status Unsatisfiable for theBenchmark
% 6.54/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 7.86/1.58 % (3496847)------------------------------
% 7.86/1.58 % (3496847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.86/1.58 % (3496847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.58 % (3496847)CaDiCaL version: 2.1.3
% 7.86/1.58 % (3496847)Termination reason: Refutation
% 7.86/1.58 % (3496847)Time elapsed: 0.676 s
% 7.86/1.58 % (3496847)Peak memory usage: 130 MB
% 7.86/1.58 % (3496847)Instructions burned: 1001 (million)
% 7.86/1.58 % (3496847)------------------------------
% 7.86/1.58 % (3496847)------------------------------
% 7.86/1.58 % (3496842)Success in time 1.085 s
% 7.86/1.58 % Vampire exiting
%------------------------------------------------------------------------------