%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC297-1 : 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 01:03:20 PM UTC 2026
% Result : Unsatisfiable 5.22s 1.44s
% Output : Refutation 5.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 53
% Syntax : Number of formulae : 257 ( 36 unt; 20 def)
% Number of atoms : 784 ( 116 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 1003 ( 476 ~; 507 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 21 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 82 ( 0 sgn 82 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f60,axiom,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f96,axiom,
! [X0,X1] :
( tl(cons(X0,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f97,axiom,
! [X0,X1] :
( hd(cons(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f107,axiom,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f123,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f124,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X1 ),
inference(reorient_equations,[],[f123]) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) = cons(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f126,plain,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f125]) ).
fof(f129,axiom,
! [X0,X1] :
( hd(app(X1,X0)) = hd(X1)
| ~ ssList(X1)
| nil = X1
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
fof(f138,axiom,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ frontsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f139,plain,
! [X0,X1] :
( ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1 ),
inference(reorient_equations,[],[f138]) ).
fof(f144,axiom,
! [X0,X1] :
( tl(app(X1,X0)) = app(tl(X1),X0)
| ~ ssList(X1)
| nil = X1
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
fof(f149,axiom,
! [X2,X0,X1] :
( X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| memberP(cons(X1,X2),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
fof(f151,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f155,axiom,
! [X2,X0,X1] :
( app(X0,X1) != X2
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| frontsegP(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).
fof(f161,axiom,
! [X2,X0,X1] :
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f189,axiom,
! [X2,X3,X0,X1] :
( app(X0,cons(X1,X2)) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(X3)
| memberP(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f192,axiom,
! [X2,X3,X0,X1] :
( ~ frontsegP(X0,X1)
| X2 != X3
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X2)
| frontsegP(cons(X2,X0),cons(X3,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,plain,
sk1 = app(app(sk6,cons(sk5,nil)),sk7),
inference(reorient_equations,[],[f209]) ).
fof(f211,negated_conjecture,
ssItem(sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f212,negated_conjecture,
( memberP(sk6,sk8)
| memberP(sk7,sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f216,negated_conjecture,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f217,negated_conjecture,
( ssItem(sk9)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f218,negated_conjecture,
( cons(sk9,nil) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f219,plain,
( sk3 = cons(sk9,nil)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f218]) ).
fof(f223,plain,
! [X2,X0,X1] :
( memberP(app(X0,cons(X1,X2)),X1)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X2) ),
inference(equality_resolution,[],[f189]) ).
fof(f224,plain,
! [X2,X1] :
( ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f149]) ).
fof(f225,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1) ),
inference(equality_resolution,[],[f155]) ).
fof(f231,plain,
! [X3,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X3)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(equality_resolution,[],[f192]) ).
fof(f239,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(duplicate_literal_removal,[],[f224]) ).
fof(f243,plain,
! [X3,X0,X1] :
( frontsegP(cons(X3,X0),cons(X3,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ frontsegP(X0,X1) ),
inference(duplicate_literal_removal,[],[f231]) ).
fof(f245,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f247,plain,
( ~ neq(sk4,nil)
| spl0_1 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f254,definition,
( spl0_3
<=> sk3 = cons(sk9,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f256,plain,
( sk3 = cons(sk9,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f257,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f219,f254,f245]) ).
fof(f259,definition,
( spl0_4
<=> ssItem(sk9) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f261,plain,
( ssItem(sk9)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f262,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f217,f259,f245]) ).
fof(f264,definition,
( spl0_5
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f266,plain,
( nil != sk4
| spl0_5 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f268,definition,
( spl0_6
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f270,plain,
( nil = sk3
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f271,plain,
( ~ spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f216,f268,f264]) ).
fof(f282,definition,
( spl0_9
<=> memberP(sk7,sk8) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f284,plain,
( memberP(sk7,sk8)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f287,definition,
( spl0_10
<=> memberP(sk6,sk8) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f289,plain,
( memberP(sk6,sk8)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f291,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f212,f287,f282]) ).
fof(f294,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl0_1 ),
inference(resolution,[],[f247,f102]) ).
fof(f297,plain,
( ~ ssList(nil)
| nil = sk4
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f294,f203]) ).
fof(f307,plain,
( nil = sk4
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f297,f8]) ).
fof(f308,plain,
( $false
| spl0_1
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f307,f266]) ).
fof(f309,plain,
( spl0_1
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f308]) ).
fof(f339,definition,
( spl0_15
<=> ssList(cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f340,plain,
( ssList(cons(sk5,nil))
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f341,plain,
( ~ ssList(cons(sk5,nil))
| spl0_15 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f352,plain,
sk3 = app(app(sk6,cons(sk5,nil)),sk7),
inference(superposition,[],[f205,f210]) ).
fof(f353,plain,
( nil = app(app(sk6,cons(sk5,nil)),sk7)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f352,f270]) ).
fof(f361,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_15 ),
inference(resolution,[],[f341,f86]) ).
fof(f362,plain,
( ~ ssItem(sk5)
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f361,f8]) ).
fof(f363,plain,
( $false
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f362,f206]) ).
fof(f364,plain,
spl0_15,
inference(avatar_contradiction_clause,[],[f363]) ).
fof(f406,plain,
( ! [X0] :
( memberP(nil,X0)
| ~ ssList(sk7)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssItem(X0)
| ~ memberP(app(sk6,cons(sk5,nil)),X0) )
| ~ spl0_6 ),
inference(superposition,[],[f151,f353]) ).
fof(f424,plain,
( ! [X0] :
( memberP(nil,X0)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssItem(X0)
| ~ memberP(app(sk6,cons(sk5,nil)),X0) )
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f406,f208]) ).
fof(f434,definition,
( spl0_17
<=> ssList(app(sk6,cons(sk5,nil))) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f435,plain,
( ssList(app(sk6,cons(sk5,nil)))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f436,plain,
( ~ ssList(app(sk6,cons(sk5,nil)))
| spl0_17 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f452,plain,
( ! [X0] :
( ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssItem(X0)
| ~ memberP(app(sk6,cons(sk5,nil)),X0) )
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f424,f71]) ).
fof(f458,definition,
( spl0_22
<=> nil = app(sk6,cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f459,plain,
( nil != app(sk6,cons(sk5,nil))
| spl0_22 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f460,plain,
( nil = app(sk6,cons(sk5,nil))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f472,definition,
( spl0_25
<=> nil = sk7 ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f473,plain,
( nil != sk7
| spl0_25 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f474,plain,
( nil = sk7
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f489,definition,
( spl0_28
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(app(sk6,cons(sk5,nil)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f490,plain,
( ! [X0] :
( ~ memberP(app(sk6,cons(sk5,nil)),X0)
| ~ ssItem(X0) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f491,plain,
( spl0_28
| ~ spl0_17
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f452,f268,f434,f489]) ).
fof(f494,plain,
( ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| spl0_17 ),
inference(resolution,[],[f436,f85]) ).
fof(f495,plain,
( ~ ssList(cons(sk5,nil))
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f494,f207]) ).
fof(f496,plain,
( $false
| ~ spl0_15
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f495,f340]) ).
fof(f497,plain,
( ~ spl0_15
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f496]) ).
fof(f502,plain,
( memberP(nil,sk8)
| ~ spl0_9
| ~ spl0_25 ),
inference(superposition,[],[f284,f474]) ).
fof(f513,plain,
( ~ ssItem(sk8)
| ~ spl0_9
| ~ spl0_25 ),
inference(resolution,[],[f502,f71]) ).
fof(f514,plain,
( $false
| ~ spl0_9
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f513,f211]) ).
fof(f515,plain,
( ~ spl0_9
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f514]) ).
fof(f597,plain,
( memberP(nil,sk5)
| ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssList(nil)
| ~ spl0_22 ),
inference(superposition,[],[f223,f460]) ).
fof(f615,plain,
( memberP(nil,sk5)
| ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_22 ),
inference(duplicate_literal_removal,[],[f597]) ).
fof(f629,plain,
( ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f615,f71]) ).
fof(f650,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f629,f207]) ).
fof(f661,definition,
( spl0_30
<=> nil = sk6 ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f662,plain,
( nil != sk6
| spl0_30 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f663,plain,
( nil = sk6
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f675,plain,
( ~ ssList(nil)
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f650,f206]) ).
fof(f682,plain,
( $false
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f675,f8]) ).
fof(f683,plain,
~ spl0_22,
inference(avatar_contradiction_clause,[],[f682]) ).
fof(f691,plain,
( ! [X0] :
( cons(sk9,X0) = app(sk3,X0)
| ~ ssList(X0)
| ~ ssItem(sk9) )
| ~ spl0_3 ),
inference(superposition,[],[f126,f256]) ).
fof(f695,plain,
( nil = tl(sk3)
| ~ ssList(nil)
| ~ ssItem(sk9)
| ~ spl0_3 ),
inference(superposition,[],[f96,f256]) ).
fof(f696,plain,
( sk9 = hd(sk3)
| ~ ssList(nil)
| ~ ssItem(sk9)
| ~ spl0_3 ),
inference(superposition,[],[f97,f256]) ).
fof(f722,plain,
( ! [X0] :
( frontsegP(cons(sk9,X0),sk3)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(sk9)
| ~ frontsegP(X0,nil) )
| ~ spl0_3 ),
inference(superposition,[],[f243,f256]) ).
fof(f725,plain,
( ! [X0] :
( frontsegP(cons(sk9,X0),sk3)
| ~ ssList(X0)
| ~ ssItem(sk9)
| ~ frontsegP(X0,nil) )
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f722,f8]) ).
fof(f747,plain,
( sk9 = hd(sk3)
| ~ ssItem(sk9)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f696,f8]) ).
fof(f748,plain,
( nil = tl(sk3)
| ~ ssItem(sk9)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f695,f8]) ).
fof(f751,plain,
( ! [X0] :
( cons(sk9,X0) = app(sk3,X0)
| ~ ssList(X0) )
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f691,f261]) ).
fof(f758,plain,
( ! [X0] :
( frontsegP(cons(sk9,X0),sk3)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) )
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f725,f261]) ).
fof(f780,plain,
( sk9 = hd(sk3)
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f747,f261]) ).
fof(f781,plain,
( nil = tl(sk3)
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f748,f261]) ).
fof(f784,plain,
( ! [X0] :
( frontsegP(cons(sk9,X0),sk3)
| ~ ssList(X0) )
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f758,f60]) ).
fof(f786,plain,
( ! [X0] :
( frontsegP(cons(hd(sk3),X0),sk3)
| ~ ssList(X0) )
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f784,f780]) ).
fof(f864,plain,
( ! [X0] :
( tl(app(sk3,X0)) = X0
| ~ ssList(X0)
| ~ ssItem(sk9)
| ~ ssList(X0) )
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f96,f751]) ).
fof(f971,plain,
( ! [X0] :
( tl(app(sk3,X0)) = X0
| ~ ssList(X0)
| ~ ssItem(sk9) )
| ~ spl0_3
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f864]) ).
fof(f1031,plain,
( ! [X0] :
( tl(app(sk3,X0)) = X0
| ~ ssList(X0) )
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f971,f261]) ).
fof(f1126,plain,
( sk3 = app(sk6,app(cons(sk5,nil),sk7))
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk6)
| ~ ssList(sk7) ),
inference(superposition,[],[f161,f352]) ).
fof(f1130,plain,
( hd(app(sk6,cons(sk5,nil))) = hd(sk3)
| ~ ssList(app(sk6,cons(sk5,nil)))
| nil = app(sk6,cons(sk5,nil))
| ~ ssList(sk7) ),
inference(superposition,[],[f129,f352]) ).
fof(f1131,plain,
( app(tl(app(sk6,cons(sk5,nil))),sk7) = tl(sk3)
| ~ ssList(app(sk6,cons(sk5,nil)))
| nil = app(sk6,cons(sk5,nil))
| ~ ssList(sk7) ),
inference(superposition,[],[f144,f352]) ).
fof(f1150,plain,
( app(tl(app(sk6,cons(sk5,nil))),sk7) = tl(sk3)
| nil = app(sk6,cons(sk5,nil))
| ~ ssList(sk7)
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1131,f435]) ).
fof(f1151,plain,
( hd(app(sk6,cons(sk5,nil))) = hd(sk3)
| nil = app(sk6,cons(sk5,nil))
| ~ ssList(sk7)
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1130,f435]) ).
fof(f1152,plain,
( sk3 = app(sk6,app(cons(sk5,nil),sk7))
| ~ ssList(sk6)
| ~ ssList(sk7)
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1126,f340]) ).
fof(f1162,plain,
( app(tl(app(sk6,cons(sk5,nil))),sk7) = tl(sk3)
| ~ ssList(sk7)
| ~ spl0_17
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f1150,f459]) ).
fof(f1163,plain,
( hd(app(sk6,cons(sk5,nil))) = hd(sk3)
| ~ ssList(sk7)
| ~ spl0_17
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f1151,f459]) ).
fof(f1164,plain,
( sk3 = app(sk6,app(cons(sk5,nil),sk7))
| ~ ssList(sk7)
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1152,f207]) ).
fof(f1168,plain,
( app(tl(app(sk6,cons(sk5,nil))),sk7) = tl(sk3)
| ~ spl0_17
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f1162,f208]) ).
fof(f1169,plain,
( hd(app(sk6,cons(sk5,nil))) = hd(sk3)
| ~ spl0_17
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f1163,f208]) ).
fof(f1170,plain,
( sk3 = app(sk6,app(cons(sk5,nil),sk7))
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1164,f208]) ).
fof(f1173,plain,
( nil = app(tl(app(sk6,cons(sk5,nil))),sk7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_17
| spl0_22 ),
inference(forward_demodulation,[],[f1168,f781]) ).
fof(f2255,definition,
( spl0_40
<=> sk3 = app(sk6,cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f2256,plain,
( sk3 != app(sk6,cons(sk5,nil))
| spl0_40 ),
inference(avatar_component_clause,[],[f2255]) ).
fof(f2257,plain,
( sk3 = app(sk6,cons(sk5,nil))
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f2255]) ).
fof(f2383,plain,
( ~ ssItem(sk5)
| ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_28 ),
inference(resolution,[],[f490,f223]) ).
fof(f2388,plain,
( ~ ssItem(sk5)
| ~ ssList(sk6)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_28 ),
inference(duplicate_literal_removal,[],[f2383]) ).
fof(f2391,plain,
( ~ ssList(sk6)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f2388,f206]) ).
fof(f2394,plain,
( ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f2391,f207]) ).
fof(f2395,plain,
( ~ ssList(nil)
| ~ spl0_17
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f2394,f435]) ).
fof(f2396,plain,
( $false
| ~ spl0_17
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f2395,f8]) ).
fof(f2397,plain,
( ~ spl0_17
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f2396]) ).
fof(f2439,plain,
( hd(sk6) = hd(sk3)
| ~ ssList(sk6)
| nil = sk6
| ~ ssList(cons(sk5,nil))
| ~ spl0_17
| spl0_22 ),
inference(superposition,[],[f1169,f129]) ).
fof(f2458,plain,
( hd(sk6) = hd(sk3)
| nil = sk6
| ~ ssList(cons(sk5,nil))
| ~ spl0_17
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f2439,f207]) ).
fof(f2467,plain,
( hd(sk6) = hd(sk3)
| nil = sk6
| ~ spl0_15
| ~ spl0_17
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f2458,f340]) ).
fof(f2485,definition,
( spl0_46
<=> hd(sk6) = hd(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f2487,plain,
( hd(sk6) = hd(sk3)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f2485]) ).
fof(f2489,plain,
( spl0_30
| spl0_46
| ~ spl0_15
| ~ spl0_17
| spl0_22 ),
inference(avatar_split_clause,[],[f2467,f458,f434,f339,f2485,f661]) ).
fof(f2493,plain,
( memberP(nil,sk8)
| ~ spl0_10
| ~ spl0_30 ),
inference(superposition,[],[f289,f663]) ).
fof(f2508,plain,
( sk3 = app(sk6,cons(sk5,sk7))
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ spl0_15 ),
inference(superposition,[],[f1170,f126]) ).
fof(f2525,plain,
( frontsegP(sk3,sk6)
| ~ ssList(sk6)
| ~ ssList(sk3)
| ~ ssList(app(cons(sk5,nil),sk7))
| ~ spl0_15 ),
inference(superposition,[],[f225,f1170]) ).
fof(f2526,plain,
( frontsegP(sk3,sk6)
| ~ ssList(sk3)
| ~ ssList(app(cons(sk5,nil),sk7))
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f2525,f207]) ).
fof(f2537,plain,
( sk3 = app(sk6,cons(sk5,sk7))
| ~ ssItem(sk5)
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f2508,f208]) ).
fof(f2538,plain,
( frontsegP(sk3,sk6)
| ~ ssList(app(cons(sk5,nil),sk7))
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f2526,f202]) ).
fof(f2546,definition,
( spl0_47
<=> ssList(app(cons(sk5,nil),sk7)) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f2547,plain,
( ssList(app(cons(sk5,nil),sk7))
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f2546]) ).
fof(f2548,plain,
( ~ ssList(app(cons(sk5,nil),sk7))
| spl0_47 ),
inference(avatar_component_clause,[],[f2546]) ).
fof(f2556,plain,
( sk3 = app(sk6,cons(sk5,sk7))
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f2537,f206]) ).
fof(f2589,plain,
( ~ ssItem(sk8)
| ~ spl0_10
| ~ spl0_30 ),
inference(resolution,[],[f2493,f71]) ).
fof(f2590,plain,
( $false
| ~ spl0_10
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f2589,f211]) ).
fof(f2591,plain,
( ~ spl0_10
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f2590]) ).
fof(f2863,plain,
( nil != nil
| ~ ssList(sk7)
| ~ ssList(tl(app(sk6,cons(sk5,nil))))
| nil = sk7
| ~ spl0_3
| ~ spl0_4
| ~ spl0_17
| spl0_22 ),
inference(superposition,[],[f124,f1173]) ).
fof(f2876,plain,
( ~ ssList(sk7)
| ~ ssList(tl(app(sk6,cons(sk5,nil))))
| nil = sk7
| ~ spl0_3
| ~ spl0_4
| ~ spl0_17
| spl0_22 ),
inference(trivial_inequality_removal,[],[f2863]) ).
fof(f2889,plain,
( ~ ssList(tl(app(sk6,cons(sk5,nil))))
| nil = sk7
| ~ spl0_3
| ~ spl0_4
| ~ spl0_17
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f2876,f208]) ).
fof(f2894,definition,
( spl0_55
<=> ssList(tl(app(sk6,cons(sk5,nil)))) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
fof(f2896,plain,
( ~ ssList(tl(app(sk6,cons(sk5,nil))))
| spl0_55 ),
inference(avatar_component_clause,[],[f2894]) ).
fof(f2931,plain,
( ~ ssList(tl(app(sk6,cons(sk5,nil))))
| ~ spl0_3
| ~ spl0_4
| ~ spl0_17
| spl0_22
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f2889,f473]) ).
fof(f2944,plain,
( ~ spl0_55
| ~ spl0_3
| ~ spl0_4
| ~ spl0_17
| spl0_22
| spl0_25 ),
inference(avatar_split_clause,[],[f2931,f472,f458,f434,f259,f254,f2894]) ).
fof(f2948,plain,
( sk6 = cons(hd(sk3),tl(sk6))
| ~ ssList(sk6)
| nil = sk6
| ~ spl0_46 ),
inference(superposition,[],[f107,f2487]) ).
fof(f2961,plain,
( sk6 = cons(hd(sk3),tl(sk6))
| nil = sk6
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2948,f207]) ).
fof(f2968,plain,
( sk6 = cons(hd(sk3),tl(sk6))
| spl0_30
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2961,f662]) ).
fof(f3273,plain,
( ~ ssList(cons(sk5,sk7))
| ~ ssList(sk7)
| ~ ssItem(sk5)
| spl0_47 ),
inference(superposition,[],[f2548,f126]) ).
fof(f3276,plain,
( ~ ssList(sk7)
| ~ ssItem(sk5)
| spl0_47 ),
inference(forward_subsumption_resolution,[],[f3273,f86]) ).
fof(f3279,plain,
( ~ ssItem(sk5)
| spl0_47 ),
inference(forward_subsumption_resolution,[],[f3276,f208]) ).
fof(f3283,plain,
( $false
| spl0_47 ),
inference(forward_subsumption_resolution,[],[f3279,f206]) ).
fof(f3284,plain,
spl0_47,
inference(avatar_contradiction_clause,[],[f3283]) ).
fof(f3294,plain,
( frontsegP(sk3,sk6)
| ~ spl0_15
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2538,f2547]) ).
fof(f3308,plain,
( ~ frontsegP(sk6,sk3)
| ~ ssList(sk6)
| ~ ssList(sk3)
| sk3 = sk6
| ~ spl0_15
| ~ spl0_47 ),
inference(resolution,[],[f3294,f139]) ).
fof(f5052,plain,
( ~ ssList(app(sk6,cons(sk5,nil)))
| nil = app(sk6,cons(sk5,nil))
| spl0_55 ),
inference(resolution,[],[f2896,f75]) ).
fof(f5058,plain,
( nil = app(sk6,cons(sk5,nil))
| ~ spl0_17
| spl0_55 ),
inference(forward_subsumption_resolution,[],[f5052,f435]) ).
fof(f5062,plain,
( $false
| ~ spl0_17
| spl0_22
| spl0_55 ),
inference(forward_subsumption_resolution,[],[f5058,f459]) ).
fof(f5063,plain,
( ~ spl0_17
| spl0_22
| spl0_55 ),
inference(avatar_contradiction_clause,[],[f5062]) ).
fof(f5085,plain,
( sk3 = app(sk6,cons(sk5,nil))
| ~ spl0_15
| ~ spl0_25 ),
inference(superposition,[],[f2556,f474]) ).
fof(f5089,plain,
( $false
| ~ spl0_15
| ~ spl0_25
| spl0_40 ),
inference(forward_subsumption_resolution,[],[f5085,f2256]) ).
fof(f5090,plain,
( ~ spl0_15
| ~ spl0_25
| spl0_40 ),
inference(avatar_contradiction_clause,[],[f5089]) ).
fof(f5399,plain,
( ~ frontsegP(sk6,sk3)
| ~ ssList(sk3)
| sk3 = sk6
| ~ spl0_15
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f3308,f207]) ).
fof(f5400,plain,
( ~ frontsegP(sk6,sk3)
| sk3 = sk6
| ~ spl0_15
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f5399,f202]) ).
fof(f5402,definition,
( spl0_101
<=> sk3 = sk6 ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
fof(f5404,plain,
( sk3 = sk6
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f5402]) ).
fof(f5406,definition,
( spl0_102
<=> frontsegP(sk6,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).
fof(f5408,plain,
( ~ frontsegP(sk6,sk3)
| spl0_102 ),
inference(avatar_component_clause,[],[f5406]) ).
fof(f5409,plain,
( spl0_101
| ~ spl0_102
| ~ spl0_15
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f5400,f2546,f339,f5406,f5402]) ).
fof(f5462,plain,
( frontsegP(sk6,sk3)
| ~ ssList(tl(sk6))
| ~ spl0_3
| ~ spl0_4
| spl0_30
| ~ spl0_46 ),
inference(superposition,[],[f786,f2968]) ).
fof(f5564,definition,
( spl0_104
<=> ssList(tl(sk6)) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
fof(f5566,plain,
( ~ ssList(tl(sk6))
| spl0_104 ),
inference(avatar_component_clause,[],[f5564]) ).
fof(f5580,plain,
( ~ ssList(tl(sk6))
| ~ spl0_3
| ~ spl0_4
| spl0_30
| ~ spl0_46
| spl0_102 ),
inference(forward_subsumption_resolution,[],[f5462,f5408]) ).
fof(f5697,plain,
( ~ spl0_104
| ~ spl0_3
| ~ spl0_4
| spl0_30
| ~ spl0_46
| spl0_102 ),
inference(avatar_split_clause,[],[f5580,f5406,f2485,f661,f259,f254,f5564]) ).
fof(f5786,plain,
( ~ ssList(sk6)
| nil = sk6
| spl0_104 ),
inference(resolution,[],[f5566,f75]) ).
fof(f5791,plain,
( nil = sk6
| spl0_104 ),
inference(forward_subsumption_resolution,[],[f5786,f207]) ).
fof(f5795,plain,
( $false
| spl0_30
| spl0_104 ),
inference(forward_subsumption_resolution,[],[f5791,f662]) ).
fof(f5796,plain,
( spl0_30
| spl0_104 ),
inference(avatar_contradiction_clause,[],[f5795]) ).
fof(f5904,plain,
( sk3 = app(sk3,cons(sk5,nil))
| ~ spl0_40
| ~ spl0_101 ),
inference(superposition,[],[f2257,f5404]) ).
fof(f6247,plain,
( cons(sk5,nil) = tl(sk3)
| ~ ssList(cons(sk5,nil))
| ~ spl0_3
| ~ spl0_4
| ~ spl0_40
| ~ spl0_101 ),
inference(superposition,[],[f1031,f5904]) ).
fof(f6292,plain,
( cons(sk5,nil) = tl(sk3)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_15
| ~ spl0_40
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[],[f6247,f340]) ).
fof(f6306,plain,
( nil = cons(sk5,nil)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_15
| ~ spl0_40
| ~ spl0_101 ),
inference(forward_demodulation,[],[f6292,f781]) ).
fof(f6496,plain,
( memberP(nil,sk5)
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_15
| ~ spl0_40
| ~ spl0_101 ),
inference(superposition,[],[f239,f6306]) ).
fof(f6529,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_15
| ~ spl0_40
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[],[f6496,f71]) ).
fof(f6583,plain,
( ~ ssList(nil)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_15
| ~ spl0_40
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[],[f6529,f206]) ).
fof(f6634,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_15
| ~ spl0_40
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[],[f6583,f8]) ).
fof(f6635,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_15
| ~ spl0_40
| ~ spl0_101 ),
inference(avatar_contradiction_clause,[],[f6634]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f257]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f262]) ).
cnf(s4,plain,
( ~ spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f271]) ).
cnf(s8,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f291]) ).
cnf(s10,plain,
( spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f309]) ).
cnf(s14,plain,
spl0_15,
inference(sat_conversion,[],[f364]) ).
cnf(s27,plain,
( ~ spl0_6
| ~ spl0_17
| spl0_28 ),
inference(sat_conversion,[],[f491]) ).
cnf(s28,plain,
( ~ spl0_15
| spl0_17 ),
inference(sat_conversion,[],[f497]) ).
cnf(s29,plain,
( ~ spl0_9
| ~ spl0_25 ),
inference(sat_conversion,[],[f515]) ).
cnf(s35,plain,
~ spl0_22,
inference(sat_conversion,[],[f683]) ).
cnf(s51,plain,
( ~ spl0_17
| ~ spl0_28 ),
inference(sat_conversion,[],[f2397]) ).
cnf(s55,plain,
( ~ spl0_15
| ~ spl0_17
| spl0_22
| spl0_30
| spl0_46 ),
inference(sat_conversion,[],[f2489]) ).
cnf(s65,plain,
( ~ spl0_10
| ~ spl0_30 ),
inference(sat_conversion,[],[f2591]) ).
cnf(s78,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_17
| spl0_22
| spl0_25
| ~ spl0_55 ),
inference(sat_conversion,[],[f2944]) ).
cnf(s84,plain,
spl0_47,
inference(sat_conversion,[],[f3284]) ).
cnf(s116,plain,
( ~ spl0_17
| spl0_22
| spl0_55 ),
inference(sat_conversion,[],[f5063]) ).
cnf(s117,plain,
( ~ spl0_15
| ~ spl0_25
| spl0_40 ),
inference(sat_conversion,[],[f5090]) ).
cnf(s124,plain,
( ~ spl0_15
| ~ spl0_47
| spl0_101
| ~ spl0_102 ),
inference(sat_conversion,[],[f5409]) ).
cnf(s157,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_30
| ~ spl0_46
| spl0_102
| ~ spl0_104 ),
inference(sat_conversion,[],[f5697]) ).
cnf(s167,plain,
( spl0_30
| spl0_104 ),
inference(sat_conversion,[],[f5796]) ).
cnf(s183,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_15
| ~ spl0_40
| ~ spl0_101 ),
inference(sat_conversion,[],[f6635]) ).
cnf(s203,plain,
spl0_17,
inference(rat,[],[s28,s14]) ).
cnf(s204,plain,
spl0_55,
inference(rat,[],[s116,s35,s203]) ).
cnf(s206,plain,
~ spl0_28,
inference(rat,[],[s51,s203]) ).
cnf(s208,plain,
~ spl0_6,
inference(rat,[],[s27,s206,s203]) ).
cnf(s211,plain,
~ spl0_5,
inference(rat,[],[s4,s208]) ).
cnf(s212,plain,
spl0_1,
inference(rat,[],[s10,s211]) ).
cnf(s213,plain,
spl0_4,
inference(rat,[],[s3,s212]) ).
cnf(s214,plain,
spl0_3,
inference(rat,[],[s2,s212]) ).
cnf(s217,plain,
spl0_25,
inference(rat,[],[s78,s204,s213,s35,s203,s214]) ).
cnf(s229,plain,
spl0_40,
inference(rat,[],[s117,s14,s217]) ).
cnf(s230,plain,
~ spl0_9,
inference(rat,[],[s29,s217]) ).
cnf(s234,plain,
~ spl0_101,
inference(rat,[],[s183,s214,s213,s14,s229]) ).
cnf(s239,plain,
spl0_10,
inference(rat,[],[s8,s230]) ).
cnf(s241,plain,
~ spl0_102,
inference(rat,[],[s124,s14,s84,s234]) ).
cnf(s244,plain,
~ spl0_30,
inference(rat,[],[s65,s239]) ).
cnf(s245,plain,
spl0_104,
inference(rat,[],[s167,s244]) ).
cnf(s246,plain,
spl0_46,
inference(rat,[],[s55,s203,s14,s35,s244]) ).
cnf(s247,plain,
$false,
inference(rat,[],[s157,s245,s241,s214,s213,s246,s244]) ).
fof(f6668,plain,
$false,
inference(avatar_sat_refutation,[],[s247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC297-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n004.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 08:55:52 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 5.22/1.44 % (217447)Input is clausal, will run a generic CNF schedule.
% 5.22/1.44 % (217456)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1918444646:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.22/1.44 % (217453)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1490735157:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.22/1.44 % (217455)lrs+10_1_sil=8000:sp=occurrence:random_seed=978438240:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.22/1.44 % (217454)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1268658338:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.22/1.44 % (217452)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=558997100:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.22/1.44 % (217457)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4085243046:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.22/1.44 % (217458)dis-21_1_sil=8000:lcm=predicate:random_seed=1505121040: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)
% 5.22/1.44 % (217456)Instruction limit reached!
% 5.22/1.44 % (217456)------------------------------
% 5.22/1.44 % (217456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.44 % (217456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.44 % (217456)CaDiCaL version: 2.1.3
% 5.22/1.44 % (217456)Termination reason: Instruction limit
% 5.22/1.44 % (217456)Termination phase: Saturation
% 5.22/1.44 % (217456)Time elapsed: 0.070 s
% 5.22/1.44 % (217456)Peak memory usage: 89 MB
% 5.22/1.44 % (217456)Instructions burned: 116 (million)
% 5.22/1.44 % (217455)Instruction limit reached!
% 5.22/1.44 % (217455)------------------------------
% 5.22/1.44 % (217455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.44 % (217455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.44 % (217455)CaDiCaL version: 2.1.3
% 5.22/1.44 % (217455)Termination reason: Instruction limit
% 5.22/1.44 % (217455)Termination phase: Saturation
% 5.22/1.44 % (217455)Time elapsed: 0.063 s
% 5.22/1.44 % (217455)Peak memory usage: 89 MB
% 5.22/1.44 % (217455)Instructions burned: 108 (million)
% 5.22/1.44 % (217458)Instruction limit reached!
% 5.22/1.44 % (217458)------------------------------
% 5.22/1.44 % (217458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.44 % (217458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.44 % (217458)CaDiCaL version: 2.1.3
% 5.22/1.44 % (217458)Termination reason: Instruction limit
% 5.22/1.44 % (217458)Termination phase: Saturation
% 5.22/1.44 % (217458)Time elapsed: 0.065 s
% 5.22/1.44 % (217458)Peak memory usage: 89 MB
% 5.22/1.44 % (217458)Instructions burned: 118 (million)
% 5.22/1.44 % (217457)Instruction limit reached!
% 5.22/1.44 % (217457)------------------------------
% 5.22/1.44 % (217457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.44 % (217457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.44 % (217457)CaDiCaL version: 2.1.3
% 5.22/1.44 % (217457)Termination reason: Instruction limit
% 5.22/1.44 % (217457)Termination phase: Saturation
% 5.22/1.44 % (217457)Time elapsed: 0.091 s
% 5.22/1.44 % (217457)Peak memory usage: 90 MB
% 5.22/1.44 % (217457)Instructions burned: 180 (million)
% 5.22/1.44 % (217466)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=2744023087:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.22/1.44 % (217467)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3200138251: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)
% 5.22/1.44 % (217468)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2389671164:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.22/1.44 % (217469)lrs+10_64_to=lpo:sil=8000:random_seed=2140500890:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 5.22/1.44 % (217469)Instruction limit reached!
% 5.22/1.44 % (217469)------------------------------
% 5.22/1.44 % (217469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.44 % (217469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.44 % (217469)CaDiCaL version: 2.1.3
% 5.22/1.44 % (217469)Termination reason: Instruction limit
% 5.22/1.44 % (217469)Termination phase: Saturation
% 5.22/1.44 % (217469)Time elapsed: 0.035 s
% 5.22/1.44 % (217469)Peak memory usage: 90 MB
% 5.22/1.44 % (217469)Instructions burned: 129 (million)
% 5.22/1.44 % (217466)Instruction limit reached!
% 5.22/1.44 % (217466)------------------------------
% 5.22/1.44 % (217466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.44 % (217466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.44 % (217466)CaDiCaL version: 2.1.3
% 5.22/1.44 % (217466)Termination reason: Instruction limit
% 5.22/1.44 % (217466)Termination phase: Saturation
% 5.22/1.44 % (217466)Time elapsed: 0.096 s
% 5.22/1.44 % (217466)Peak memory usage: 90 MB
% 5.22/1.44 % (217466)Instructions burned: 144 (million)
% 5.22/1.44 % (217467)Instruction limit reached!
% 5.22/1.44 % (217467)------------------------------
% 5.22/1.44 % (217467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.44 % (217467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.44 % (217467)CaDiCaL version: 2.1.3
% 5.22/1.44 % (217467)Termination reason: Instruction limit
% 5.22/1.44 % (217467)Termination phase: Saturation
% 5.22/1.44 % (217467)Time elapsed: 0.099 s
% 5.22/1.44 % (217467)Peak memory usage: 91 MB
% 5.22/1.44 % (217467)Instructions burned: 189 (million)
% 5.22/1.44 % (217468)First to succeed.
% 5.22/1.44 % (217468)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-217447"
% 5.22/1.44 % (217474)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3947425925:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.22/1.44 % (217474)Instruction limit reached!
% 5.22/1.44 % (217474)------------------------------
% 5.22/1.44 % (217474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.44 % (217474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.44 % (217474)CaDiCaL version: 2.1.3
% 5.22/1.44 % (217474)Termination reason: Instruction limit
% 5.22/1.44 % (217474)Termination phase: Saturation
% 5.22/1.44 % (217474)Time elapsed: 0.065 s
% 5.22/1.44 % (217474)Peak memory usage: 91 MB
% 5.22/1.44 % (217474)Instructions burned: 196 (million)
% 5.22/1.44 % (217475)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2011805133:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 5.22/1.44 % (217476)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=947820766:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 5.22/1.44 % (217475)Instruction limit reached!
% 5.22/1.44 % (217475)------------------------------
% 5.22/1.44 % (217475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.44 % (217475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.44 % (217475)CaDiCaL version: 2.1.3
% 5.22/1.44 % (217475)Termination reason: Instruction limit
% 5.22/1.44 % (217475)Termination phase: Saturation
% 5.22/1.44 % (217475)Time elapsed: 0.097 s
% 5.22/1.44 % (217475)Peak memory usage: 91 MB
% 5.22/1.44 % (217475)Instructions burned: 159 (million)
% 5.22/1.44 % (217478)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=1129626350:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 5.22/1.44 % (217468)Refutation found. Thanks to Tanya!
% 5.22/1.44 % SZS status Unsatisfiable for theBenchmark
% 5.22/1.44 % SZS output start Proof for theBenchmark
% See solution above
% 5.94/1.54 % (217468)------------------------------
% 5.94/1.54 % (217468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.94/1.54 % (217468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.54 % (217468)CaDiCaL version: 2.1.3
% 5.94/1.54 % (217468)Termination reason: Refutation
% 5.94/1.54 % (217468)Time elapsed: 0.138 s
% 5.94/1.54 % (217468)Peak memory usage: 92 MB
% 5.94/1.54 % (217468)Instructions burned: 222 (million)
% 5.94/1.54 % (217468)------------------------------
% 5.94/1.54 % (217468)------------------------------
% 5.94/1.54 % (217447)Success in time 0.768 s
% 5.94/1.54 % Vampire exiting
%------------------------------------------------------------------------------