%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC345-1 : 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 : 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 01:03:33 PM UTC 2026
% Result : Unsatisfiable 6.56s 1.74s
% Output : Refutation 8.32s
% 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(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
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(f66,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
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)
| ~ strictorderedP(sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f219,plain,
( ~ segmentP(sk4,sk3)
| ~ strictorderedP(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
<=> strictorderedP(sk3) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f257,plain,
( ~ strictorderedP(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(f308,definition,
( spl1_12
<=> ! [X1] :
( ~ ssItem(X1)
| strictorderedP(cons(X1,nil)) ) ),
introduced(definition,[new_symbols(definition,[spl1_12])],[avatar_definition]) ).
fof(f309,plain,
( ! [X1] :
( strictorderedP(cons(X1,nil))
| ~ ssItem(X1) )
| ~ spl1_12 ),
inference(avatar_component_clause,[],[f308]) ).
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(f334,plain,
spl1_12,
inference(avatar_split_clause,[],[f66,f308]) ).
fof(f335,plain,
spl1_10,
inference(avatar_split_clause,[],[f8,f299]) ).
fof(f336,plain,
( strictorderedP(sF0)
| ~ ssItem(sk5)
| ~ spl1_12 ),
inference(superposition,[],[f309,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,
( strictorderedP(sk3)
| ~ ssItem(sk5)
| ~ spl1_6
| ~ spl1_12 ),
inference(forward_demodulation,[],[f336,f279]) ).
fof(f356,plain,
( strictorderedP(sk3)
| ~ spl1_6
| ~ spl1_8
| ~ spl1_12 ),
inference(forward_subsumption_resolution,[],[f352,f291]) ).
fof(f357,plain,
( spl1_1
| ~ spl1_6
| ~ spl1_8
| ~ spl1_12 ),
inference(avatar_split_clause,[],[f356,f308,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,
( ~ strictorderedP(nil)
| spl1_1
| ~ spl1_3 ),
inference(superposition,[],[f257,f266]) ).
fof(f490,plain,
( $false
| spl1_1
| ~ spl1_3 ),
inference(forward_subsumption_resolution,[],[f489,f3]) ).
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(s18,plain,
spl1_12,
inference(sat_conversion,[],[f334]) ).
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_12 ),
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,s18]) ).
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 : SWC345-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n011.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 09:11:46 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 6.56/1.74 % (3265104)Input is clausal, will run a generic CNF schedule.
% 6.56/1.74 % (3265113)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1780311880:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.56/1.74 % (3265113)Instruction limit reached!
% 6.56/1.74 % (3265113)------------------------------
% 6.56/1.74 % (3265113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.74 % (3265113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.74 % (3265113)CaDiCaL version: 2.1.3
% 6.56/1.74 % (3265113)Termination reason: Instruction limit
% 6.56/1.74 % (3265113)Termination phase: Saturation
% 6.56/1.74 % (3265113)Time elapsed: 0.037 s
% 6.56/1.74 % (3265113)Peak memory usage: 89 MB
% 6.56/1.74 % (3265113)Instructions burned: 115 (million)
% 6.56/1.74 % (3265110)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3196564523:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.56/1.74 % (3265112)lrs+10_1_sil=8000:sp=occurrence:random_seed=319881541:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.56/1.74 % (3265111)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1942978616:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.56/1.74 % (3265109)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=3170045104:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.56/1.74 % (3265114)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2046757835:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.56/1.74 % (3265115)dis-21_1_sil=8000:lcm=predicate:random_seed=539213765: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)
% 6.56/1.74 % (3265115)Instruction limit reached!
% 6.56/1.74 % (3265115)------------------------------
% 6.56/1.74 % (3265115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.74 % (3265115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.74 % (3265115)CaDiCaL version: 2.1.3
% 6.56/1.74 % (3265115)Termination reason: Instruction limit
% 6.56/1.74 % (3265115)Termination phase: Saturation
% 6.56/1.74 % (3265115)Time elapsed: 0.051 s
% 6.56/1.74 % (3265115)Peak memory usage: 89 MB
% 6.56/1.74 % (3265115)Instructions burned: 118 (million)
% 6.56/1.74 % (3265112)Instruction limit reached!
% 6.56/1.74 % (3265112)------------------------------
% 6.56/1.74 % (3265112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.74 % (3265112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.74 % (3265112)CaDiCaL version: 2.1.3
% 6.56/1.74 % (3265112)Termination reason: Instruction limit
% 6.56/1.74 % (3265112)Termination phase: Saturation
% 6.56/1.74 % (3265112)Time elapsed: 0.068 s
% 6.56/1.74 % (3265112)Peak memory usage: 90 MB
% 6.56/1.74 % (3265112)Instructions burned: 108 (million)
% 6.56/1.74 % (3265117)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=138138837:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.56/1.74 % (3265114)Instruction limit reached!
% 6.56/1.74 % (3265114)------------------------------
% 6.56/1.74 % (3265114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.74 % (3265114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.74 % (3265114)CaDiCaL version: 2.1.3
% 6.56/1.74 % (3265114)Termination reason: Instruction limit
% 6.56/1.74 % (3265114)Termination phase: Saturation
% 6.56/1.74 % (3265114)Time elapsed: 0.125 s
% 6.56/1.74 % (3265114)Peak memory usage: 90 MB
% 6.56/1.74 % (3265114)Instructions burned: 180 (million)
% 6.56/1.74 % (3265117)Instruction limit reached!
% 6.56/1.74 % (3265117)------------------------------
% 6.56/1.74 % (3265117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.74 % (3265117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.74 % (3265117)CaDiCaL version: 2.1.3
% 6.56/1.74 % (3265117)Termination reason: Instruction limit
% 6.56/1.74 % (3265117)Termination phase: Saturation
% 6.56/1.74 % (3265117)Time elapsed: 0.050 s
% 6.56/1.74 % (3265117)Peak memory usage: 89 MB
% 6.56/1.74 % (3265117)Instructions burned: 145 (million)
% 6.56/1.74 % (3265124)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1036707312: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)
% 6.56/1.74 % (3265125)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3754047210:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.56/1.74 % (3265128)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1193767012:avsq=on:i=194:fgj=on:bd=preordered_2997 on theBenchmark for (2997ds/194Mi)
% 6.56/1.74 % (3265127)lrs+10_64_to=lpo:sil=8000:random_seed=2128332017:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.56/1.74 % (3265124)Instruction limit reached!
% 6.56/1.74 % (3265124)------------------------------
% 6.56/1.74 % (3265124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.74 % (3265124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.74 % (3265124)CaDiCaL version: 2.1.3
% 6.56/1.74 % (3265124)Termination reason: Instruction limit
% 6.56/1.74 % (3265124)Termination phase: Saturation
% 6.56/1.74 % (3265124)Time elapsed: 0.097 s
% 6.56/1.74 % (3265124)Peak memory usage: 92 MB
% 6.56/1.74 % (3265124)Instructions burned: 190 (million)
% 6.56/1.74 % (3265128)Instruction limit reached!
% 6.56/1.74 % (3265128)------------------------------
% 6.56/1.74 % (3265128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.74 % (3265128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.74 % (3265128)CaDiCaL version: 2.1.3
% 6.56/1.74 % (3265128)Termination reason: Instruction limit
% 6.56/1.74 % (3265128)Termination phase: Saturation
% 6.56/1.74 % (3265128)Time elapsed: 0.066 s
% 6.56/1.74 % (3265128)Peak memory usage: 90 MB
% 6.56/1.74 % (3265128)Instructions burned: 195 (million)
% 6.56/1.74 % (3265125)Instruction limit reached!
% 6.56/1.74 % (3265125)------------------------------
% 6.56/1.74 % (3265125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.74 % (3265125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.74 % (3265125)CaDiCaL version: 2.1.3
% 6.56/1.74 % (3265125)Termination reason: Instruction limit
% 6.56/1.74 % (3265125)Termination phase: Saturation
% 6.56/1.74 % (3265125)Time elapsed: 0.128 s
% 6.56/1.74 % (3265125)Peak memory usage: 90 MB
% 6.56/1.74 % (3265125)Instructions burned: 220 (million)
% 6.56/1.74 % (3265127)Instruction limit reached!
% 6.56/1.74 % (3265127)------------------------------
% 6.56/1.74 % (3265127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.74 % (3265127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.74 % (3265127)CaDiCaL version: 2.1.3
% 6.56/1.74 % (3265127)Termination reason: Instruction limit
% 6.56/1.74 % (3265127)Termination phase: Saturation
% 6.56/1.74 % (3265127)Time elapsed: 0.067 s
% 6.56/1.74 % (3265127)Peak memory usage: 90 MB
% 6.56/1.74 % (3265127)Instructions burned: 126 (million)
% 6.56/1.74 % (3265134)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=851281127:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 6.56/1.74 % (3265133)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=782951737:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.56/1.74 % (3265135)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=2552345643:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 6.56/1.74 % (3265136)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=733335986:i=107_2995 on theBenchmark for (2995ds/107Mi)
% 6.56/1.74 % (3265133)Instruction limit reached!
% 6.56/1.74 % (3265133)------------------------------
% 6.56/1.74 % (3265133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.74 % (3265133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.74 % (3265133)CaDiCaL version: 2.1.3
% 6.56/1.74 % (3265133)Termination reason: Instruction limit
% 6.56/1.74 % (3265133)Termination phase: Saturation
% 6.56/1.74 % (3265133)Time elapsed: 0.089 s
% 6.56/1.74 % (3265133)Peak memory usage: 91 MB
% 6.56/1.74 % (3265133)Instructions burned: 158 (million)
% 6.56/1.74 % (3265135)Instruction limit reached!
% 6.56/1.74 % (3265135)------------------------------
% 6.56/1.74 % (3265135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.74 % (3265135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.74 % (3265135)CaDiCaL version: 2.1.3
% 6.56/1.74 % (3265135)Termination reason: Instruction limit
% 6.56/1.74 % (3265135)Termination phase: Saturation
% 6.56/1.74 % (3265135)Time elapsed: 0.058 s
% 6.56/1.74 % (3265135)Peak memory usage: 90 MB
% 6.56/1.74 % (3265135)Instructions burned: 108 (million)
% 6.56/1.74 % (3265136)Instruction limit reached!
% 6.56/1.74 % (3265136)------------------------------
% 6.56/1.74 % (3265136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.74 % (3265136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.74 % (3265136)CaDiCaL version: 2.1.3
% 6.56/1.74 % (3265136)Termination reason: Instruction limit
% 6.56/1.74 % (3265136)Termination phase: Saturation
% 6.56/1.74 % (3265136)Time elapsed: 0.067 s
% 6.56/1.74 % (3265136)Peak memory usage: 90 MB
% 6.56/1.74 % (3265136)Instructions burned: 107 (million)
% 6.56/1.74 % (3265141)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2832032880:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 6.56/1.74 % (3265142)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1022246822:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 6.56/1.74 % (3265143)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1700298258:i=134:sd=2:doe=on:ss=axioms:sgt=14_2993 on theBenchmark for (2993ds/134Mi)
% 6.56/1.74 % (3265109)First to succeed.
% 6.56/1.74 % (3265109)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3265104"
% 6.56/1.74 % (3265111)Also succeeded, but the first one will report.
% 6.56/1.74 % (3265143)Instruction limit reached!
% 6.56/1.74 % (3265143)------------------------------
% 6.56/1.74 % (3265143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.74 % (3265143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.74 % (3265143)CaDiCaL version: 2.1.3
% 6.56/1.74 % (3265143)Termination reason: Instruction limit
% 6.56/1.74 % (3265143)Termination phase: Saturation
% 6.56/1.74 % (3265143)Time elapsed: 0.093 s
% 6.56/1.74 % (3265143)Peak memory usage: 90 MB
% 6.56/1.74 % (3265143)Instructions burned: 134 (million)
% 6.56/1.74 % (3265134)Also succeeded, but the first one will report.
% 6.56/1.74 % (3265141)Instruction limit reached!
% 6.56/1.74 % (3265141)------------------------------
% 6.56/1.74 % (3265141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.74 % (3265141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.74 % (3265141)CaDiCaL version: 2.1.3
% 6.56/1.74 % (3265141)Termination reason: Instruction limit
% 6.56/1.74 % (3265141)Termination phase: Saturation
% 6.56/1.74 % (3265141)Time elapsed: 0.151 s
% 6.56/1.74 % (3265141)Peak memory usage: 90 MB
% 6.56/1.74 % (3265141)Instructions burned: 242 (million)
% 6.56/1.74 % (3265147)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=4184014628:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 6.56/1.74 % (3265148)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=4098350004:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 6.56/1.74 % (3265109)Refutation found. Thanks to Tanya!
% 6.56/1.74 % SZS status Unsatisfiable for theBenchmark
% 6.56/1.74 % SZS output start Proof for theBenchmark
% See solution above
% 8.32/1.93 % (3265109)------------------------------
% 8.32/1.93 % (3265109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/1.93 % (3265109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/1.93 % (3265109)CaDiCaL version: 2.1.3
% 8.32/1.93 % (3265109)Termination reason: Refutation
% 8.32/1.93 % (3265109)Time elapsed: 0.672 s
% 8.32/1.93 % (3265109)Peak memory usage: 131 MB
% 8.32/1.93 % (3265109)Instructions burned: 1002 (million)
% 8.32/1.93 % (3265109)------------------------------
% 8.32/1.93 % (3265109)------------------------------
% 8.32/1.93 % (3265104)Success in time 1.091 s
% 8.32/1.93 % Vampire exiting
%------------------------------------------------------------------------------