%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC414-1 : 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 : n018.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 01:03:53 PM UTC 2026
% Result : Unsatisfiable 4.41s 1.33s
% Output : Refutation 5.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 49
% Syntax : Number of formulae : 202 ( 15 unt; 13 def)
% Number of atoms : 688 ( 127 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 898 ( 412 ~; 473 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 17 ( 15 usr; 14 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 168 ( 0 sgn 168 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
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,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| app(app(app(app(X2,cons(X0,nil)),X3),cons(X1,nil)),X4) != sk2
| app(app(app(app(X2,cons(X1,nil)),X3),cons(X0,nil)),X4) != sk1
| ~ ssItem(X5)
| ~ ssItem(X6)
| ~ ssList(X7)
| app(app(cons(X5,nil),cons(X6,nil)),X7) != sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| sk2 != app(app(app(app(X2,cons(X0,nil)),X3),cons(X1,nil)),X4)
| sk1 != app(app(app(app(X2,cons(X1,nil)),X3),cons(X0,nil)),X4)
| ~ ssItem(X5)
| ~ ssItem(X6)
| ~ ssList(X7)
| sk4 != app(app(cons(X5,nil),cons(X6,nil)),X7) ),
inference(reorient_equations,[],[f206]) ).
fof(f208,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| app(app(app(app(X2,cons(X0,nil)),X3),cons(X1,nil)),X4) != sk2
| app(app(app(app(X2,cons(X1,nil)),X3),cons(X0,nil)),X4) != sk1
| ssItem(sk11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f209,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| sk2 != app(app(app(app(X2,cons(X0,nil)),X3),cons(X1,nil)),X4)
| sk1 != app(app(app(app(X2,cons(X1,nil)),X3),cons(X0,nil)),X4)
| ssItem(sk11) ),
inference(reorient_equations,[],[f208]) ).
fof(f210,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| app(app(app(app(X2,cons(X0,nil)),X3),cons(X1,nil)),X4) != sk2
| app(app(app(app(X2,cons(X1,nil)),X3),cons(X0,nil)),X4) != sk1
| ssItem(sk12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f211,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| sk2 != app(app(app(app(X2,cons(X0,nil)),X3),cons(X1,nil)),X4)
| sk1 != app(app(app(app(X2,cons(X1,nil)),X3),cons(X0,nil)),X4)
| ssItem(sk12) ),
inference(reorient_equations,[],[f210]) ).
fof(f212,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| app(app(app(app(X2,cons(X0,nil)),X3),cons(X1,nil)),X4) != sk2
| app(app(app(app(X2,cons(X1,nil)),X3),cons(X0,nil)),X4) != sk1
| ssList(sk13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f213,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| sk2 != app(app(app(app(X2,cons(X0,nil)),X3),cons(X1,nil)),X4)
| sk1 != app(app(app(app(X2,cons(X1,nil)),X3),cons(X0,nil)),X4)
| ssList(sk13) ),
inference(reorient_equations,[],[f212]) ).
fof(f214,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| app(app(app(app(X2,cons(X0,nil)),X3),cons(X1,nil)),X4) != sk2
| app(app(app(app(X2,cons(X1,nil)),X3),cons(X0,nil)),X4) != sk1
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f215,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| sk2 != app(app(app(app(X2,cons(X0,nil)),X3),cons(X1,nil)),X4)
| sk1 != app(app(app(app(X2,cons(X1,nil)),X3),cons(X0,nil)),X4)
| sk2 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) ),
inference(reorient_equations,[],[f214]) ).
fof(f224,negated_conjecture,
! [X2,X0,X1] :
( ssItem(sk8)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| app(app(cons(X0,nil),cons(X1,nil)),X2) != sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f225,plain,
! [X2,X0,X1] :
( ssItem(sk8)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| sk4 != app(app(cons(X0,nil),cons(X1,nil)),X2) ),
inference(reorient_equations,[],[f224]) ).
fof(f226,negated_conjecture,
! [X2,X0,X1] :
( ssItem(sk9)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| app(app(cons(X0,nil),cons(X1,nil)),X2) != sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f227,plain,
! [X2,X0,X1] :
( ssItem(sk9)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| sk4 != app(app(cons(X0,nil),cons(X1,nil)),X2) ),
inference(reorient_equations,[],[f226]) ).
fof(f228,negated_conjecture,
! [X2,X0,X1] :
( ssList(sk10)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| app(app(cons(X0,nil),cons(X1,nil)),X2) != sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f229,plain,
! [X2,X0,X1] :
( ssList(sk10)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| sk4 != app(app(cons(X0,nil),cons(X1,nil)),X2) ),
inference(reorient_equations,[],[f228]) ).
fof(f230,negated_conjecture,
! [X2,X0,X1] :
( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk4
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| app(app(cons(X0,nil),cons(X1,nil)),X2) != sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_19) ).
fof(f231,plain,
! [X2,X0,X1] :
( sk4 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| sk4 != app(app(cons(X0,nil),cons(X1,nil)),X2) ),
inference(reorient_equations,[],[f230]) ).
fof(f232,negated_conjecture,
! [X2,X0,X1] :
( app(app(cons(sk9,nil),cons(sk8,nil)),sk10) = sk3
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| app(app(cons(X0,nil),cons(X1,nil)),X2) != sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_20) ).
fof(f233,plain,
! [X2,X0,X1] :
( sk3 = app(app(cons(sk9,nil),cons(sk8,nil)),sk10)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| sk4 != app(app(cons(X0,nil),cons(X1,nil)),X2) ),
inference(reorient_equations,[],[f232]) ).
fof(f257,negated_conjecture,
( ssItem(sk8)
| ssItem(sk11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_37) ).
fof(f258,negated_conjecture,
( ssItem(sk9)
| ssItem(sk11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_38) ).
fof(f259,negated_conjecture,
( ssList(sk10)
| ssItem(sk11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_39) ).
fof(f260,negated_conjecture,
( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk4
| ssItem(sk11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_40) ).
fof(f261,plain,
( sk4 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10)
| ssItem(sk11) ),
inference(reorient_equations,[],[f260]) ).
fof(f262,negated_conjecture,
( app(app(cons(sk9,nil),cons(sk8,nil)),sk10) = sk3
| ssItem(sk11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_41) ).
fof(f263,plain,
( sk3 = app(app(cons(sk9,nil),cons(sk8,nil)),sk10)
| ssItem(sk11) ),
inference(reorient_equations,[],[f262]) ).
fof(f264,negated_conjecture,
( ssItem(sk8)
| ssItem(sk12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_42) ).
fof(f265,negated_conjecture,
( ssItem(sk8)
| ssList(sk13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_43) ).
fof(f266,negated_conjecture,
( ssItem(sk8)
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_44) ).
fof(f267,plain,
( ssItem(sk8)
| sk2 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) ),
inference(reorient_equations,[],[f266]) ).
fof(f268,negated_conjecture,
( ssItem(sk9)
| ssItem(sk12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_45) ).
fof(f269,negated_conjecture,
( ssList(sk10)
| ssItem(sk12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_46) ).
fof(f270,negated_conjecture,
( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk4
| ssItem(sk12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_47) ).
fof(f271,plain,
( sk4 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10)
| ssItem(sk12) ),
inference(reorient_equations,[],[f270]) ).
fof(f272,negated_conjecture,
( app(app(cons(sk9,nil),cons(sk8,nil)),sk10) = sk3
| ssItem(sk12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_48) ).
fof(f273,plain,
( sk3 = app(app(cons(sk9,nil),cons(sk8,nil)),sk10)
| ssItem(sk12) ),
inference(reorient_equations,[],[f272]) ).
fof(f274,negated_conjecture,
( ssItem(sk9)
| ssList(sk13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_49) ).
fof(f275,negated_conjecture,
( ssItem(sk9)
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_50) ).
fof(f276,plain,
( ssItem(sk9)
| sk2 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) ),
inference(reorient_equations,[],[f275]) ).
fof(f277,negated_conjecture,
( ssList(sk10)
| ssList(sk13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_51) ).
fof(f278,negated_conjecture,
( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk4
| ssList(sk13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_52) ).
fof(f279,plain,
( sk4 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10)
| ssList(sk13) ),
inference(reorient_equations,[],[f278]) ).
fof(f280,negated_conjecture,
( app(app(cons(sk9,nil),cons(sk8,nil)),sk10) = sk3
| ssList(sk13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_53) ).
fof(f281,plain,
( sk3 = app(app(cons(sk9,nil),cons(sk8,nil)),sk10)
| ssList(sk13) ),
inference(reorient_equations,[],[f280]) ).
fof(f282,negated_conjecture,
( ssList(sk10)
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_54) ).
fof(f283,plain,
( ssList(sk10)
| sk2 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) ),
inference(reorient_equations,[],[f282]) ).
fof(f284,negated_conjecture,
( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk4
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_55) ).
fof(f285,plain,
( sk4 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10)
| sk2 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) ),
inference(reorient_equations,[],[f284]) ).
fof(f286,negated_conjecture,
( app(app(cons(sk9,nil),cons(sk8,nil)),sk10) = sk3
| app(app(cons(sk11,nil),cons(sk12,nil)),sk13) = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_56) ).
fof(f287,plain,
( sk3 = app(app(cons(sk9,nil),cons(sk8,nil)),sk10)
| sk2 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) ),
inference(reorient_equations,[],[f286]) ).
fof(f290,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| sk4 != app(app(app(app(X2,cons(X0,nil)),X3),cons(X1,nil)),X4)
| sk3 != app(app(app(app(X2,cons(X1,nil)),X3),cons(X0,nil)),X4)
| ~ ssItem(X5)
| ~ ssItem(X6)
| ~ ssList(X7)
| sk4 != app(app(cons(X5,nil),cons(X6,nil)),X7) ),
inference(definition_unfolding,[],[f207,f204,f205]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| sk4 != app(app(app(app(X2,cons(X0,nil)),X3),cons(X1,nil)),X4)
| sk3 != app(app(app(app(X2,cons(X1,nil)),X3),cons(X0,nil)),X4)
| ssItem(sk11) ),
inference(definition_unfolding,[],[f209,f204,f205]) ).
fof(f292,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| sk4 != app(app(app(app(X2,cons(X0,nil)),X3),cons(X1,nil)),X4)
| sk3 != app(app(app(app(X2,cons(X1,nil)),X3),cons(X0,nil)),X4)
| ssItem(sk12) ),
inference(definition_unfolding,[],[f211,f204,f205]) ).
fof(f293,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| sk4 != app(app(app(app(X2,cons(X0,nil)),X3),cons(X1,nil)),X4)
| sk3 != app(app(app(app(X2,cons(X1,nil)),X3),cons(X0,nil)),X4)
| ssList(sk13) ),
inference(definition_unfolding,[],[f213,f204,f205]) ).
fof(f294,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| sk4 != app(app(app(app(X2,cons(X0,nil)),X3),cons(X1,nil)),X4)
| sk3 != app(app(app(app(X2,cons(X1,nil)),X3),cons(X0,nil)),X4)
| sk4 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) ),
inference(definition_unfolding,[],[f215,f204,f205,f204]) ).
fof(f303,plain,
( ssItem(sk8)
| sk4 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) ),
inference(definition_unfolding,[],[f267,f204]) ).
fof(f304,plain,
( ssItem(sk9)
| sk4 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) ),
inference(definition_unfolding,[],[f276,f204]) ).
fof(f305,plain,
( ssList(sk10)
| sk4 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) ),
inference(definition_unfolding,[],[f283,f204]) ).
fof(f306,plain,
( sk4 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10)
| sk4 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) ),
inference(definition_unfolding,[],[f285,f204]) ).
fof(f307,plain,
( sk3 = app(app(cons(sk9,nil),cons(sk8,nil)),sk10)
| sk4 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) ),
inference(definition_unfolding,[],[f287,f204]) ).
fof(f339,definition,
( spl0_1
<=> sk4 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f341,plain,
( sk4 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f343,definition,
( spl0_2
<=> sk3 = app(app(cons(sk9,nil),cons(sk8,nil)),sk10) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f345,plain,
( sk3 = app(app(cons(sk9,nil),cons(sk8,nil)),sk10)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f346,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f307,f343,f339]) ).
fof(f348,definition,
( spl0_3
<=> sk4 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f350,plain,
( sk4 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f351,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f306,f348,f339]) ).
fof(f353,definition,
( spl0_4
<=> ssList(sk10) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f355,plain,
( ssList(sk10)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f356,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f305,f353,f339]) ).
fof(f358,definition,
( spl0_5
<=> ssList(sk13) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f360,plain,
( ssList(sk13)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f361,plain,
( spl0_5
| spl0_2 ),
inference(avatar_split_clause,[],[f281,f343,f358]) ).
fof(f362,plain,
( spl0_5
| spl0_3 ),
inference(avatar_split_clause,[],[f279,f348,f358]) ).
fof(f363,plain,
( spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f277,f353,f358]) ).
fof(f365,definition,
( spl0_6
<=> ssItem(sk9) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f367,plain,
( ssItem(sk9)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f368,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f304,f365,f339]) ).
fof(f369,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f274,f365,f358]) ).
fof(f371,definition,
( spl0_7
<=> ssItem(sk12) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f373,plain,
( ssItem(sk12)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f374,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f273,f343,f371]) ).
fof(f375,plain,
( spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f271,f348,f371]) ).
fof(f376,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f269,f353,f371]) ).
fof(f377,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f268,f365,f371]) ).
fof(f379,definition,
( spl0_8
<=> ssItem(sk8) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f381,plain,
( ssItem(sk8)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f382,plain,
( spl0_1
| spl0_8 ),
inference(avatar_split_clause,[],[f303,f379,f339]) ).
fof(f383,plain,
( spl0_5
| spl0_8 ),
inference(avatar_split_clause,[],[f265,f379,f358]) ).
fof(f384,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f264,f379,f371]) ).
fof(f386,definition,
( spl0_9
<=> ssItem(sk11) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f388,plain,
( ssItem(sk11)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f389,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f263,f343,f386]) ).
fof(f390,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f261,f348,f386]) ).
fof(f391,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f259,f353,f386]) ).
fof(f392,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f258,f365,f386]) ).
fof(f393,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f257,f379,f386]) ).
fof(f427,definition,
( spl0_14
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| sk4 != app(app(cons(X0,nil),cons(X1,nil)),X2)
| ~ ssList(X2)
| ~ ssItem(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f428,plain,
( ! [X2,X0,X1] :
( sk4 != app(app(cons(X0,nil),cons(X1,nil)),X2)
| ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssItem(X1) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f429,plain,
( spl0_14
| spl0_2 ),
inference(avatar_split_clause,[],[f233,f343,f427]) ).
fof(f430,plain,
( spl0_14
| spl0_3 ),
inference(avatar_split_clause,[],[f231,f348,f427]) ).
fof(f431,plain,
( spl0_14
| spl0_4 ),
inference(avatar_split_clause,[],[f229,f353,f427]) ).
fof(f432,plain,
( spl0_14
| spl0_6 ),
inference(avatar_split_clause,[],[f227,f365,f427]) ).
fof(f433,plain,
( spl0_14
| spl0_8 ),
inference(avatar_split_clause,[],[f225,f379,f427]) ).
fof(f439,definition,
( spl0_15
<=> ! [X2,X4,X0,X3,X1] :
( ~ ssItem(X0)
| sk3 != app(app(app(app(X2,cons(X1,nil)),X3),cons(X0,nil)),X4)
| sk4 != app(app(app(app(X2,cons(X0,nil)),X3),cons(X1,nil)),X4)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f440,plain,
( ! [X2,X3,X0,X1,X4] :
( sk4 != app(app(app(app(X2,cons(X0,nil)),X3),cons(X1,nil)),X4)
| sk3 != app(app(app(app(X2,cons(X1,nil)),X3),cons(X0,nil)),X4)
| ~ ssItem(X0)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f441,plain,
( spl0_1
| spl0_15 ),
inference(avatar_split_clause,[],[f294,f439,f339]) ).
fof(f442,plain,
( spl0_5
| spl0_15 ),
inference(avatar_split_clause,[],[f293,f439,f358]) ).
fof(f443,plain,
( spl0_7
| spl0_15 ),
inference(avatar_split_clause,[],[f292,f439,f371]) ).
fof(f444,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f291,f439,f386]) ).
fof(f445,plain,
( spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f290,f439,f427]) ).
fof(f451,definition,
( spl0_17
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f452,plain,
( ssList(nil)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f487,plain,
spl0_17,
inference(avatar_split_clause,[],[f8,f451]) ).
fof(f517,definition,
( spl0_29
<=> ssList(cons(sk9,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f518,plain,
( ssList(cons(sk9,nil))
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f519,plain,
( ~ ssList(cons(sk9,nil))
| spl0_29 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f532,plain,
( ! [X2,X3,X0,X1] :
( sk4 != app(app(app(cons(X0,nil),X1),cons(X2,nil)),X3)
| sk3 != app(app(app(app(nil,cons(X2,nil)),X1),cons(X0,nil)),X3)
| ~ ssItem(X0)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssItem(X2)
| ~ ssList(cons(X0,nil)) )
| ~ spl0_15 ),
inference(superposition,[],[f440,f74]) ).
fof(f533,plain,
( ! [X2,X3,X0,X1] :
( sk4 != app(app(app(cons(X0,nil),X1),cons(X2,nil)),X3)
| sk3 != app(app(app(app(nil,cons(X2,nil)),X1),cons(X0,nil)),X3)
| ~ ssItem(X0)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssItem(X2) )
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f532,f86]) ).
fof(f534,plain,
( ! [X2,X3,X0,X1] :
( sk4 != app(app(app(cons(X0,nil),X1),cons(X2,nil)),X3)
| sk3 != app(app(app(app(nil,cons(X2,nil)),X1),cons(X0,nil)),X3)
| ~ ssItem(X0)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2) )
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f533,f452]) ).
fof(f584,plain,
( ~ ssList(nil)
| ~ ssItem(sk9)
| spl0_29 ),
inference(resolution,[],[f86,f519]) ).
fof(f585,plain,
( ~ ssItem(sk9)
| ~ spl0_17
| spl0_29 ),
inference(forward_subsumption_resolution,[],[f584,f452]) ).
fof(f591,plain,
( $false
| ~ spl0_6
| ~ spl0_17
| spl0_29 ),
inference(forward_subsumption_resolution,[],[f585,f367]) ).
fof(f592,plain,
( ~ spl0_6
| ~ spl0_17
| spl0_29 ),
inference(avatar_contradiction_clause,[],[f591]) ).
fof(f609,plain,
( ! [X2,X0,X1] :
( sk4 != app(app(cons(X0,nil),cons(X1,nil)),X2)
| sk3 != app(app(app(app(nil,cons(X1,nil)),nil),cons(X0,nil)),X2)
| ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(cons(X0,nil)) )
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f534,f73]) ).
fof(f612,plain,
( ! [X2,X0,X1] :
( sk4 != app(app(cons(X0,nil),cons(X1,nil)),X2)
| sk3 != app(app(app(app(nil,cons(X1,nil)),nil),cons(X0,nil)),X2)
| ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(nil)
| ~ ssItem(X1) )
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f609,f86]) ).
fof(f613,plain,
( ! [X2,X0,X1] :
( sk3 != app(app(app(app(nil,cons(X1,nil)),nil),cons(X0,nil)),X2)
| sk4 != app(app(cons(X0,nil),cons(X1,nil)),X2)
| ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssItem(X1) )
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f612,f452]) ).
fof(f614,plain,
( ! [X2,X0,X1] :
( sk3 != app(app(app(cons(X0,nil),nil),cons(X1,nil)),X2)
| sk4 != app(app(cons(X1,nil),cons(X0,nil)),X2)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) )
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f613,f74]) ).
fof(f618,plain,
( ! [X2,X0,X1] :
( sk3 != app(app(cons(X0,nil),cons(X1,nil)),X2)
| sk4 != app(app(cons(X1,nil),cons(X0,nil)),X2)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| ~ ssList(cons(X0,nil)) )
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f614,f73]) ).
fof(f620,plain,
( ! [X2,X0,X1] :
( ~ ssList(cons(X0,nil))
| sk4 != app(app(cons(X1,nil),cons(X0,nil)),X2)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(X0)
| sk3 != app(app(cons(X0,nil),cons(X1,nil)),X2) )
| ~ spl0_15
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f618]) ).
fof(f627,plain,
( ! [X0,X1] :
( sk4 != app(app(cons(X0,nil),cons(sk9,nil)),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(sk9)
| sk3 != app(app(cons(sk9,nil),cons(X0,nil)),X1) )
| ~ spl0_15
| ~ spl0_17
| ~ spl0_29 ),
inference(resolution,[],[f620,f518]) ).
fof(f629,plain,
( ! [X0,X1] :
( sk4 != app(app(cons(X0,nil),cons(sk9,nil)),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| sk3 != app(app(cons(sk9,nil),cons(X0,nil)),X1) )
| ~ spl0_6
| ~ spl0_15
| ~ spl0_17
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f627,f367]) ).
fof(f634,plain,
( sk4 != sk4
| ~ ssItem(sk8)
| ~ ssList(sk10)
| sk3 != app(app(cons(sk9,nil),cons(sk8,nil)),sk10)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_15
| ~ spl0_17
| ~ spl0_29 ),
inference(superposition,[],[f629,f350]) ).
fof(f636,plain,
( ~ ssItem(sk8)
| ~ ssList(sk10)
| sk3 != app(app(cons(sk9,nil),cons(sk8,nil)),sk10)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_15
| ~ spl0_17
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f634]) ).
fof(f638,plain,
( ~ ssList(sk10)
| sk3 != app(app(cons(sk9,nil),cons(sk8,nil)),sk10)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_17
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f636,f381]) ).
fof(f639,plain,
( sk3 != app(app(cons(sk9,nil),cons(sk8,nil)),sk10)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_17
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f638,f355]) ).
fof(f640,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_17
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f639,f345]) ).
fof(f641,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_17
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f640]) ).
fof(f679,plain,
( sk4 != sk4
| ~ ssItem(sk11)
| ~ ssList(sk13)
| ~ ssItem(sk12)
| ~ spl0_1
| ~ spl0_14 ),
inference(superposition,[],[f428,f341]) ).
fof(f681,plain,
( ~ ssItem(sk11)
| ~ ssList(sk13)
| ~ ssItem(sk12)
| ~ spl0_1
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f679]) ).
fof(f685,plain,
( ~ ssList(sk13)
| ~ ssItem(sk12)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f681,f388]) ).
fof(f687,plain,
( ~ ssItem(sk12)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f685,f360]) ).
fof(f689,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f687,f373]) ).
fof(f690,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f689]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f346]) ).
cnf(s2,plain,
( spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f351]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f356]) ).
cnf(s4,plain,
( spl0_2
| spl0_5 ),
inference(sat_conversion,[],[f361]) ).
cnf(s5,plain,
( spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f362]) ).
cnf(s6,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f363]) ).
cnf(s7,plain,
( spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f368]) ).
cnf(s8,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f369]) ).
cnf(s9,plain,
( spl0_2
| spl0_7 ),
inference(sat_conversion,[],[f374]) ).
cnf(s10,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f375]) ).
cnf(s11,plain,
( spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f376]) ).
cnf(s12,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f377]) ).
cnf(s13,plain,
( spl0_1
| spl0_8 ),
inference(sat_conversion,[],[f382]) ).
cnf(s14,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f383]) ).
cnf(s15,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f384]) ).
cnf(s16,plain,
( spl0_2
| spl0_9 ),
inference(sat_conversion,[],[f389]) ).
cnf(s17,plain,
( spl0_3
| spl0_9 ),
inference(sat_conversion,[],[f390]) ).
cnf(s18,plain,
( spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f391]) ).
cnf(s19,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f392]) ).
cnf(s20,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f393]) ).
cnf(s37,plain,
( spl0_2
| spl0_14 ),
inference(sat_conversion,[],[f429]) ).
cnf(s38,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f430]) ).
cnf(s39,plain,
( spl0_4
| spl0_14 ),
inference(sat_conversion,[],[f431]) ).
cnf(s40,plain,
( spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f432]) ).
cnf(s41,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f433]) ).
cnf(s46,plain,
( spl0_1
| spl0_15 ),
inference(sat_conversion,[],[f441]) ).
cnf(s47,plain,
( spl0_5
| spl0_15 ),
inference(sat_conversion,[],[f442]) ).
cnf(s48,plain,
( spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f443]) ).
cnf(s49,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f444]) ).
cnf(s50,plain,
( spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f445]) ).
cnf(s60,plain,
spl0_17,
inference(sat_conversion,[],[f487]) ).
cnf(s64,plain,
( ~ spl0_6
| ~ spl0_17
| spl0_29 ),
inference(sat_conversion,[],[f592]) ).
cnf(s67,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_17
| ~ spl0_29 ),
inference(sat_conversion,[],[f641]) ).
cnf(s71,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(sat_conversion,[],[f690]) ).
cnf(s77,plain,
spl0_1,
inference(rat,[],[s67,s64,s1,s2,s3,s7,s13,s46,s60]) ).
cnf(s78,plain,
spl0_2,
inference(rat,[],[s71,s4,s9,s16,s37,s77]) ).
cnf(s79,plain,
( spl0_15
| ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s71,s49,s50,s77]) ).
cnf(s80,plain,
( ~ spl0_7
| ~ spl0_6
| ~ spl0_5
| ~ spl0_4
| ~ spl0_3 ),
inference(rat,[],[s71,s20,s41,s67,s79,s64,s77,s60,s78]) ).
cnf(s81,plain,
( ~ spl0_6
| ~ spl0_5
| ~ spl0_4
| ~ spl0_3 ),
inference(rat,[],[s67,s15,s48,s80,s64,s60,s78]) ).
cnf(s82,plain,
( ~ spl0_5
| ~ spl0_4
| ~ spl0_3 ),
inference(rat,[],[s71,s12,s19,s40,s81,s77]) ).
cnf(s83,plain,
( ~ spl0_8
| ~ spl0_6
| ~ spl0_15
| ~ spl0_3
| ~ spl0_4 ),
inference(rat,[],[s64,s67,s78,s60]) ).
cnf(s84,plain,
( ~ spl0_4
| ~ spl0_3 ),
inference(rat,[],[s83,s8,s14,s47,s82]) ).
cnf(s85,plain,
spl0_4,
inference(rat,[],[s71,s6,s11,s18,s39,s77]) ).
cnf(s86,plain,
~ spl0_3,
inference(rat,[],[s84,s85]) ).
cnf(s87,plain,
spl0_14,
inference(rat,[],[s38,s86]) ).
cnf(s88,plain,
spl0_9,
inference(rat,[],[s17,s86]) ).
cnf(s89,plain,
spl0_7,
inference(rat,[],[s10,s86]) ).
cnf(s90,plain,
spl0_5,
inference(rat,[],[s5,s86]) ).
cnf(s91,plain,
$false,
inference(rat,[],[s71,s89,s90,s77,s87,s88]) ).
fof(f693,plain,
$false,
inference(avatar_sat_refutation,[],[s91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC414-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n018.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 09:34:40 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
% 4.41/1.33 % (3252730)Input is clausal, will run a generic CNF schedule.
% 4.41/1.33 % (3252739)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4279765529:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.41/1.33 % (3252736)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=509966690:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.41/1.33 % (3252739)Instruction limit reached!
% 4.41/1.33 % (3252739)------------------------------
% 4.41/1.33 % (3252739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.33 % (3252739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.33 % (3252739)CaDiCaL version: 2.1.3
% 4.41/1.33 % (3252739)Termination reason: Instruction limit
% 4.41/1.33 % (3252739)Termination phase: Saturation
% 4.41/1.33 % (3252739)Time elapsed: 0.034 s
% 4.41/1.33 % (3252739)Peak memory usage: 89 MB
% 4.41/1.33 % (3252739)Instructions burned: 118 (million)
% 4.41/1.33 % (3252735)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=3795071881:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.41/1.33 % (3252737)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1214521853:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.41/1.33 % (3252738)lrs+10_1_sil=8000:sp=occurrence:random_seed=2479731581:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.41/1.33 % (3252741)dis-21_1_sil=8000:lcm=predicate:random_seed=3433944234: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)
% 4.41/1.33 % (3252740)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2342150537:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.41/1.33 % (3252741)Refutation not found, incomplete strategy
% 4.41/1.33 % (3252741)------------------------------
% 4.41/1.33 % (3252741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.33 % (3252741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.33 % (3252741)CaDiCaL version: 2.1.3
% 4.41/1.33 % (3252741)Termination reason: Refutation not found, incomplete strategy
% 4.41/1.33 % (3252741)Time elapsed: 0.005 s
% 4.41/1.33 % (3252741)Peak memory usage: 88 MB
% 4.41/1.33 % (3252741)Instructions burned: 7 (million)
% 4.41/1.33 % (3252738)Instruction limit reached!
% 4.41/1.33 % (3252738)------------------------------
% 4.41/1.33 % (3252738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.33 % (3252738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.33 % (3252738)CaDiCaL version: 2.1.3
% 4.41/1.33 % (3252738)Termination reason: Instruction limit
% 4.41/1.33 % (3252738)Termination phase: Saturation
% 4.41/1.33 % (3252738)Time elapsed: 0.063 s
% 4.41/1.33 % (3252738)Peak memory usage: 90 MB
% 4.41/1.33 % (3252738)Instructions burned: 108 (million)
% 4.41/1.33 % (3252744)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=666420204:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 4.41/1.33 % (3252740)Instruction limit reached!
% 4.41/1.33 % (3252740)------------------------------
% 4.41/1.33 % (3252740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.33 % (3252740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.33 % (3252740)CaDiCaL version: 2.1.3
% 4.41/1.33 % (3252740)Termination reason: Instruction limit
% 4.41/1.33 % (3252740)Termination phase: Saturation
% 4.41/1.33 % (3252740)Time elapsed: 0.106 s
% 4.41/1.33 % (3252740)Peak memory usage: 90 MB
% 4.41/1.33 % (3252740)Instructions burned: 181 (million)
% 4.41/1.33 % (3252744)Instruction limit reached!
% 4.41/1.33 % (3252744)------------------------------
% 4.41/1.33 % (3252744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.33 % (3252744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.33 % (3252744)CaDiCaL version: 2.1.3
% 4.41/1.33 % (3252744)Termination reason: Instruction limit
% 4.41/1.33 % (3252744)Termination phase: Saturation
% 4.41/1.33 % (3252744)Time elapsed: 0.047 s
% 4.41/1.33 % (3252744)Peak memory usage: 90 MB
% 4.41/1.33 % (3252744)Instructions burned: 143 (million)
% 4.41/1.33 % (3252750)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1211932654: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)
% 4.41/1.33 % (3252753)lrs+10_64_to=lpo:sil=8000:random_seed=2582927981:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 4.41/1.33 % (3252752)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=87124551:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.41/1.33 % (3252753)Instruction limit reached!
% 4.41/1.33 % (3252753)------------------------------
% 4.41/1.33 % (3252753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.33 % (3252753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.33 % (3252753)CaDiCaL version: 2.1.3
% 4.41/1.33 % (3252753)Termination reason: Instruction limit
% 4.41/1.33 % (3252753)Termination phase: Saturation
% 4.41/1.33 % (3252753)Time elapsed: 0.037 s
% 4.41/1.33 % (3252753)Peak memory usage: 90 MB
% 4.41/1.33 % (3252753)Instructions burned: 128 (million)
% 4.41/1.33 % (3252741)------------------------------
% 4.41/1.33 % (3252741)------------------------------
% 4.41/1.33 % (3252750)Instruction limit reached!
% 4.41/1.33 % (3252750)------------------------------
% 4.41/1.33 % (3252750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.33 % (3252750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.33 % (3252750)CaDiCaL version: 2.1.3
% 4.41/1.33 % (3252750)Termination reason: Instruction limit
% 4.41/1.33 % (3252750)Termination phase: Saturation
% 4.41/1.33 % (3252750)Time elapsed: 0.097 s
% 4.41/1.33 % (3252750)Peak memory usage: 91 MB
% 4.41/1.33 % (3252750)Instructions burned: 190 (million)
% 4.41/1.33 % (3252757)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3745771253:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 4.41/1.33 % (3252752)Instruction limit reached!
% 4.41/1.33 % (3252752)------------------------------
% 4.41/1.33 % (3252752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.33 % (3252752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.33 % (3252752)CaDiCaL version: 2.1.3
% 4.41/1.33 % (3252752)Termination reason: Instruction limit
% 4.41/1.33 % (3252752)Termination phase: Saturation
% 4.41/1.33 % (3252752)Time elapsed: 0.124 s
% 4.41/1.33 % (3252752)Peak memory usage: 90 MB
% 4.41/1.33 % (3252752)Instructions burned: 219 (million)
% 4.41/1.33 % (3252757)First to succeed.
% 4.41/1.33 % (3252757)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3252730"
% 4.41/1.33 % (3252758)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3892799784:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 4.41/1.33 % (3252759)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2590387735:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 4.41/1.33 % (3252758)Instruction limit reached!
% 4.41/1.33 % (3252758)------------------------------
% 4.41/1.33 % (3252758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.33 % (3252758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.33 % (3252758)CaDiCaL version: 2.1.3
% 4.41/1.33 % (3252758)Termination reason: Instruction limit
% 4.41/1.33 % (3252758)Termination phase: Saturation
% 4.41/1.33 % (3252758)Time elapsed: 0.091 s
% 4.41/1.33 % (3252758)Peak memory usage: 91 MB
% 4.41/1.33 % (3252758)Instructions burned: 157 (million)
% 4.41/1.33 % (3252761)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=1426473852:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 4.41/1.33 % (3252757)Refutation found. Thanks to Tanya!
% 4.41/1.33 % SZS status Unsatisfiable for theBenchmark
% 4.41/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 5.37/1.52 % (3252757)------------------------------
% 5.37/1.52 % (3252757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/1.52 % (3252757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.52 % (3252757)CaDiCaL version: 2.1.3
% 5.37/1.52 % (3252757)Termination reason: Refutation
% 5.37/1.52 % (3252757)Time elapsed: 0.012 s
% 5.37/1.52 % (3252757)Peak memory usage: 90 MB
% 5.37/1.52 % (3252757)Instructions burned: 37 (million)
% 5.37/1.52 % (3252757)------------------------------
% 5.37/1.52 % (3252757)------------------------------
% 5.37/1.52 % (3252730)Success in time 0.682 s
% 5.37/1.52 % Vampire exiting
%------------------------------------------------------------------------------