%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC410-1 : 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 : n008.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 01:03:52 PM UTC 2026
% Result : Unsatisfiable 1.86s 1.16s
% Output : Refutation 3.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 37
% Syntax : Number of formulae : 151 ( 26 unt; 14 def)
% Number of atoms : 432 ( 63 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 527 ( 246 ~; 267 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 15 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
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(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f118,axiom,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f149,axiom,
! [X2,X0,X1] :
( X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| memberP(cons(X1,X2),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).
fof(f150,axiom,
! [X2,X0,X1] :
( memberP(cons(X2,X0),X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).
fof(f170,axiom,
! [X2,X0,X1] :
( ~ memberP(app(X0,X1),X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| memberP(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).
fof(f173,axiom,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| X2 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| X0 = X2 ),
inference(reorient_equations,[],[f173]) ).
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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
memberP(sk2,sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
~ memberP(sk1,sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( ~ neq(sk4,nil)
| neq(sk3,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ neq(sk4,nil)
| ~ ssList(X0)
| sk4 = X0
| ~ ssList(X1)
| ~ ssList(X2)
| tl(sk3) != X1
| app(X1,X2) != X0
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk3) != X3
| ~ neq(nil,sk3)
| ~ neq(nil,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f214,plain,
memberP(sk4,sk5),
inference(definition_unfolding,[],[f207,f204]) ).
fof(f215,plain,
~ memberP(sk3,sk5),
inference(definition_unfolding,[],[f208,f205]) ).
fof(f216,plain,
! [X2,X3,X0] :
( ~ neq(sk4,nil)
| ~ ssList(X0)
| sk4 = X0
| ~ ssList(tl(sk3))
| ~ ssList(X2)
| app(tl(sk3),X2) != X0
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk3) != X3
| ~ neq(nil,sk3)
| ~ neq(nil,sk3) ),
inference(equality_resolution,[],[f211]) ).
fof(f217,plain,
! [X2,X3] :
( ~ neq(sk4,nil)
| ~ ssList(app(tl(sk3),X2))
| sk4 = app(tl(sk3),X2)
| ~ ssList(tl(sk3))
| ~ ssList(X2)
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk3) != X3
| ~ neq(nil,sk3)
| ~ neq(nil,sk3) ),
inference(equality_resolution,[],[f216]) ).
fof(f218,plain,
! [X3] :
( ~ neq(sk4,nil)
| ~ ssList(app(tl(sk3),cons(X3,nil)))
| sk4 = app(tl(sk3),cons(X3,nil))
| ~ ssList(tl(sk3))
| ~ ssList(cons(X3,nil))
| ~ ssItem(X3)
| hd(sk3) != X3
| ~ neq(nil,sk3)
| ~ neq(nil,sk3) ),
inference(equality_resolution,[],[f217]) ).
fof(f219,plain,
( ~ neq(sk4,nil)
| ~ ssList(app(tl(sk3),cons(hd(sk3),nil)))
| sk4 = app(tl(sk3),cons(hd(sk3),nil))
| ~ ssList(tl(sk3))
| ~ ssList(cons(hd(sk3),nil))
| ~ ssItem(hd(sk3))
| ~ neq(nil,sk3)
| ~ neq(nil,sk3) ),
inference(equality_resolution,[],[f218]) ).
fof(f221,plain,
! [X2,X1] :
( ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f149]) ).
fof(f225,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f118]) ).
fof(f232,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f225]) ).
fof(f235,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(duplicate_literal_removal,[],[f221]) ).
fof(f236,plain,
( ~ neq(sk4,nil)
| ~ ssList(app(tl(sk3),cons(hd(sk3),nil)))
| sk4 = app(tl(sk3),cons(hd(sk3),nil))
| ~ ssList(tl(sk3))
| ~ ssList(cons(hd(sk3),nil))
| ~ ssItem(hd(sk3))
| ~ neq(nil,sk3) ),
inference(duplicate_literal_removal,[],[f219]) ).
fof(f253,definition,
( spl0_5
<=> neq(nil,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f254,plain,
( ~ neq(nil,sk3)
| spl0_5 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f256,definition,
( spl0_6
<=> ssItem(hd(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f257,plain,
( ~ ssItem(hd(sk3))
| spl0_6 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f259,definition,
( spl0_7
<=> ssList(cons(hd(sk3),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f260,plain,
( ~ ssList(cons(hd(sk3),nil))
| spl0_7 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f262,definition,
( spl0_8
<=> ssList(tl(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f263,plain,
( ~ ssList(tl(sk3))
| spl0_8 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f265,definition,
( spl0_9
<=> sk4 = app(tl(sk3),cons(hd(sk3),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f266,plain,
( sk4 = app(tl(sk3),cons(hd(sk3),nil))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f268,definition,
( spl0_10
<=> ssList(app(tl(sk3),cons(hd(sk3),nil))) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f269,plain,
( ~ ssList(app(tl(sk3),cons(hd(sk3),nil)))
| spl0_10 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f271,definition,
( spl0_11
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f272,plain,
( ~ neq(sk4,nil)
| spl0_11 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f273,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f236,f271,f268,f265,f262,f259,f256,f253]) ).
fof(f275,definition,
( spl0_12
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f276,plain,
( neq(sk3,nil)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f277,plain,
( spl0_12
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f210,f271,f275]) ).
fof(f279,definition,
( spl0_13
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f282,definition,
( spl0_14
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f283,plain,
( nil = sk3
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f284,plain,
( ~ spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f209,f282,f279]) ).
fof(f306,plain,
( ~ ssList(nil)
| ~ ssList(sk3)
| nil = sk3
| spl0_5 ),
inference(resolution,[],[f254,f102]) ).
fof(f307,plain,
( ~ ssList(sk3)
| nil = sk3
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f306,f8]) ).
fof(f308,plain,
( nil = sk3
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f307,f202]) ).
fof(f309,plain,
( spl0_14
| spl0_5 ),
inference(avatar_split_clause,[],[f308,f253,f282]) ).
fof(f310,plain,
( neq(nil,nil)
| ~ spl0_12
| ~ spl0_14 ),
inference(superposition,[],[f276,f283]) ).
fof(f312,plain,
( ~ memberP(nil,sk5)
| ~ spl0_14 ),
inference(superposition,[],[f215,f283]) ).
fof(f320,plain,
( ~ ssList(nil)
| ~ spl0_12
| ~ spl0_14 ),
inference(resolution,[],[f310,f232]) ).
fof(f321,plain,
( $false
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f320,f8]) ).
fof(f322,plain,
( ~ spl0_12
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f321]) ).
fof(f324,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl0_11 ),
inference(resolution,[],[f272,f102]) ).
fof(f325,plain,
( ~ ssList(nil)
| nil = sk4
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f324,f203]) ).
fof(f326,plain,
( nil = sk4
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f334,plain,
( nil = sk4
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f325,f8]) ).
fof(f335,plain,
( spl0_13
| spl0_11 ),
inference(avatar_split_clause,[],[f334,f271,f279]) ).
fof(f344,plain,
! [X0] :
( memberP(X0,hd(X0))
| ~ ssItem(hd(X0))
| ~ ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(superposition,[],[f235,f107]) ).
fof(f349,plain,
! [X0] :
( memberP(X0,hd(X0))
| ~ ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(forward_subsumption_resolution,[],[f344,f76]) ).
fof(f353,plain,
! [X0] :
( memberP(X0,hd(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(forward_subsumption_resolution,[],[f349,f75]) ).
fof(f357,plain,
( memberP(nil,sk5)
| ~ spl0_13 ),
inference(superposition,[],[f214,f326]) ).
fof(f359,plain,
( $false
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f357,f312]) ).
fof(f360,plain,
( ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f359]) ).
fof(f361,plain,
( ~ ssList(sk3)
| nil = sk3
| spl0_6 ),
inference(resolution,[],[f257,f76]) ).
fof(f362,plain,
( nil = sk3
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f361,f202]) ).
fof(f363,plain,
( spl0_14
| spl0_6 ),
inference(avatar_split_clause,[],[f362,f256,f282]) ).
fof(f364,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk3))
| spl0_7 ),
inference(resolution,[],[f260,f86]) ).
fof(f365,plain,
( ~ ssItem(hd(sk3))
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f364,f8]) ).
fof(f366,plain,
( ~ spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f365,f259,f256]) ).
fof(f367,plain,
( ~ ssList(sk3)
| nil = sk3
| spl0_8 ),
inference(resolution,[],[f263,f75]) ).
fof(f368,plain,
( nil = sk3
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f367,f202]) ).
fof(f369,plain,
( spl0_14
| spl0_8 ),
inference(avatar_split_clause,[],[f368,f262,f282]) ).
fof(f370,plain,
( ~ ssList(tl(sk3))
| ~ ssList(cons(hd(sk3),nil))
| spl0_10 ),
inference(resolution,[],[f269,f85]) ).
fof(f371,plain,
( ~ spl0_7
| ~ spl0_8
| spl0_10 ),
inference(avatar_split_clause,[],[f370,f268,f262,f259]) ).
fof(f373,plain,
( memberP(app(tl(sk3),cons(hd(sk3),nil)),sk5)
| ~ spl0_9 ),
inference(superposition,[],[f214,f266]) ).
fof(f436,plain,
! [X0,X1] :
( memberP(X0,X1)
| ~ ssList(tl(X0))
| ~ ssItem(hd(X0))
| ~ ssItem(X1)
| ~ memberP(tl(X0),X1)
| ~ ssList(X0)
| nil = X0 ),
inference(superposition,[],[f150,f107]) ).
fof(f437,plain,
! [X0,X1] :
( memberP(X0,X1)
| ~ ssItem(hd(X0))
| ~ ssItem(X1)
| ~ memberP(tl(X0),X1)
| ~ ssList(X0)
| nil = X0 ),
inference(forward_subsumption_resolution,[],[f436,f75]) ).
fof(f438,plain,
! [X0,X1] :
( ~ memberP(tl(X0),X1)
| ~ ssItem(X1)
| memberP(X0,X1)
| ~ ssList(X0)
| nil = X0 ),
inference(forward_subsumption_resolution,[],[f437,f76]) ).
fof(f830,plain,
( ~ ssList(cons(hd(sk3),nil))
| ~ ssList(tl(sk3))
| ~ ssItem(sk5)
| memberP(cons(hd(sk3),nil),sk5)
| memberP(tl(sk3),sk5)
| ~ spl0_9 ),
inference(resolution,[],[f170,f373]) ).
fof(f852,plain,
( ~ ssList(cons(hd(sk3),nil))
| ~ ssList(tl(sk3))
| memberP(cons(hd(sk3),nil),sk5)
| memberP(tl(sk3),sk5)
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f830,f206]) ).
fof(f855,definition,
( spl0_24
<=> memberP(tl(sk3),sk5) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f856,plain,
( memberP(tl(sk3),sk5)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f858,definition,
( spl0_25
<=> memberP(cons(hd(sk3),nil),sk5) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f859,plain,
( memberP(cons(hd(sk3),nil),sk5)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f860,plain,
( spl0_24
| spl0_25
| ~ spl0_8
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f852,f265,f259,f262,f858,f855]) ).
fof(f1183,definition,
( spl0_28
<=> memberP(nil,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f1184,plain,
( memberP(nil,sk5)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f1183]) ).
fof(f1191,plain,
( ~ ssItem(sk5)
| memberP(sk3,sk5)
| ~ ssList(sk3)
| nil = sk3
| ~ spl0_24 ),
inference(resolution,[],[f438,f856]) ).
fof(f1201,plain,
( memberP(sk3,sk5)
| ~ ssList(sk3)
| nil = sk3
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1191,f206]) ).
fof(f1204,plain,
( ~ ssList(sk3)
| nil = sk3
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1201,f215]) ).
fof(f1205,plain,
( nil = sk3
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1204,f202]) ).
fof(f1206,plain,
( spl0_14
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1205,f855,f282]) ).
fof(f1207,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk3))
| ~ ssItem(sk5)
| memberP(nil,sk5)
| sk5 = hd(sk3)
| ~ spl0_25 ),
inference(resolution,[],[f859,f174]) ).
fof(f1208,plain,
( ~ ssItem(hd(sk3))
| ~ ssItem(sk5)
| memberP(nil,sk5)
| sk5 = hd(sk3)
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f1207,f8]) ).
fof(f1209,plain,
( ~ ssItem(hd(sk3))
| memberP(nil,sk5)
| sk5 = hd(sk3)
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f1208,f206]) ).
fof(f1211,definition,
( spl0_29
<=> sk5 = hd(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f1212,plain,
( sk5 = hd(sk3)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f1211]) ).
fof(f1213,plain,
( spl0_29
| spl0_28
| ~ spl0_6
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f1209,f858,f256,f1183,f1211]) ).
fof(f1267,plain,
( ~ ssItem(sk5)
| ~ spl0_28 ),
inference(resolution,[],[f1184,f71]) ).
fof(f1268,plain,
( $false
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f1267,f206]) ).
fof(f1269,plain,
~ spl0_28,
inference(avatar_contradiction_clause,[],[f1268]) ).
fof(f1286,plain,
( ~ memberP(sk3,hd(sk3))
| ~ spl0_29 ),
inference(superposition,[],[f215,f1212]) ).
fof(f1311,plain,
( ~ ssList(sk3)
| nil = sk3
| ~ spl0_29 ),
inference(resolution,[],[f1286,f353]) ).
fof(f1312,plain,
( nil = sk3
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1311,f202]) ).
fof(f1313,plain,
( spl0_14
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f1312,f1211,f282]) ).
cnf(s4,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f273]) ).
cnf(s5,plain,
( ~ spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f277]) ).
cnf(s6,plain,
( ~ spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f284]) ).
cnf(s11,plain,
( spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f309]) ).
cnf(s12,plain,
( ~ spl0_12
| ~ spl0_14 ),
inference(sat_conversion,[],[f322]) ).
cnf(s14,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f335]) ).
cnf(s16,plain,
( ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f360]) ).
cnf(s17,plain,
( spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f363]) ).
cnf(s18,plain,
( ~ spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f366]) ).
cnf(s19,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f369]) ).
cnf(s20,plain,
( ~ spl0_7
| ~ spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f371]) ).
cnf(s29,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f860]) ).
cnf(s34,plain,
( spl0_14
| ~ spl0_24 ),
inference(sat_conversion,[],[f1206]) ).
cnf(s35,plain,
( ~ spl0_6
| ~ spl0_25
| spl0_28
| spl0_29 ),
inference(sat_conversion,[],[f1213]) ).
cnf(s36,plain,
~ spl0_28,
inference(sat_conversion,[],[f1269]) ).
cnf(s37,plain,
( spl0_14
| ~ spl0_29 ),
inference(sat_conversion,[],[f1313]) ).
cnf(s38,plain,
( ~ spl0_6
| ~ spl0_25
| spl0_29 ),
inference(rat,[],[s35,s36]) ).
cnf(s42,plain,
~ spl0_14,
inference(rat,[],[s5,s14,s12,s16]) ).
cnf(s43,plain,
~ spl0_29,
inference(rat,[],[s37,s42]) ).
cnf(s44,plain,
~ spl0_24,
inference(rat,[],[s34,s42]) ).
cnf(s45,plain,
spl0_8,
inference(rat,[],[s19,s42]) ).
cnf(s46,plain,
spl0_6,
inference(rat,[],[s17,s42]) ).
cnf(s47,plain,
spl0_5,
inference(rat,[],[s11,s42]) ).
cnf(s48,plain,
~ spl0_13,
inference(rat,[],[s6,s42]) ).
cnf(s49,plain,
spl0_7,
inference(rat,[],[s18,s46]) ).
cnf(s50,plain,
~ spl0_25,
inference(rat,[],[s38,s43,s46]) ).
cnf(s51,plain,
spl0_11,
inference(rat,[],[s14,s48]) ).
cnf(s52,plain,
~ spl0_9,
inference(rat,[],[s29,s50,s45,s44,s49]) ).
cnf(s53,plain,
spl0_10,
inference(rat,[],[s20,s45,s49]) ).
cnf(s55,plain,
$false,
inference(rat,[],[s4,s45,s53,s49,s46,s47,s52,s51]) ).
fof(f1314,plain,
$false,
inference(avatar_sat_refutation,[],[s55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC410-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n008.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 09:32:25 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.24 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
% 1.86/1.16 % (2124682)Input is clausal, will run a generic CNF schedule.
% 1.86/1.16 % (2124688)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2785909577:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.86/1.16 % (2124690)lrs+10_1_sil=8000:sp=occurrence:random_seed=129633393:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.86/1.16 % (2124687)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=4133858487:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.86/1.16 % (2124691)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3249942483:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.86/1.16 % (2124689)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4127872457:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.86/1.16 % (2124692)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4179717343:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.86/1.16 % (2124693)dis-21_1_sil=8000:lcm=predicate:random_seed=3303067776: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)
% 1.86/1.16 % (2124691)First to succeed.
% 1.86/1.16 % (2124691)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2124682"
% 1.86/1.16 % (2124693)Instruction limit reached!
% 1.86/1.16 % (2124693)------------------------------
% 1.86/1.16 % (2124693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.86/1.16 % (2124693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/1.16 % (2124693)CaDiCaL version: 2.1.3
% 1.86/1.16 % (2124693)Termination reason: Instruction limit
% 1.86/1.16 % (2124693)Termination phase: Saturation
% 1.86/1.16 % (2124693)Time elapsed: 0.063 s
% 1.86/1.16 % (2124693)Peak memory usage: 89 MB
% 1.86/1.16 % (2124693)Instructions burned: 117 (million)
% 1.86/1.16 % (2124690)Instruction limit reached!
% 1.86/1.16 % (2124690)------------------------------
% 1.86/1.16 % (2124690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.86/1.16 % (2124690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/1.16 % (2124690)CaDiCaL version: 2.1.3
% 1.86/1.16 % (2124690)Termination reason: Instruction limit
% 1.86/1.16 % (2124690)Termination phase: Saturation
% 1.86/1.16 % (2124690)Time elapsed: 0.066 s
% 1.86/1.16 % (2124690)Peak memory usage: 89 MB
% 1.86/1.16 % (2124690)Instructions burned: 107 (million)
% 1.86/1.16 % (2124692)Instruction limit reached!
% 1.86/1.16 % (2124692)------------------------------
% 1.86/1.16 % (2124692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.86/1.16 % (2124692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/1.16 % (2124692)CaDiCaL version: 2.1.3
% 1.86/1.16 % (2124692)Termination reason: Instruction limit
% 1.86/1.16 % (2124692)Termination phase: Saturation
% 1.86/1.16 % (2124692)Time elapsed: 0.120 s
% 1.86/1.16 % (2124692)Peak memory usage: 89 MB
% 1.86/1.16 % (2124692)Instructions burned: 181 (million)
% 1.86/1.16 % (2124702)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1862198167: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)
% 1.86/1.16 % (2124701)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=2594490834:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 1.86/1.16 % (2124703)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3080439540:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 1.86/1.16 % (2124703)Refutation not found, incomplete strategy
% 1.86/1.16 % (2124703)------------------------------
% 1.86/1.16 % (2124703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.86/1.16 % (2124703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/1.16 % (2124703)CaDiCaL version: 2.1.3
% 1.86/1.16 % (2124703)Termination reason: Refutation not found, incomplete strategy
% 1.86/1.16 % (2124703)Time elapsed: 0.006 s
% 1.86/1.16 % (2124703)Peak memory usage: 88 MB
% 1.86/1.16 % (2124703)Instructions burned: 8 (million)
% 1.86/1.16 % (2124691)Refutation found. Thanks to Tanya!
% 1.86/1.16 % SZS status Unsatisfiable for theBenchmark
% 1.86/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 3.91/1.25 % (2124691)------------------------------
% 3.91/1.25 % (2124691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.25 % (2124691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.25 % (2124691)CaDiCaL version: 2.1.3
% 3.91/1.25 % (2124691)Termination reason: Refutation
% 3.91/1.25 % (2124691)Time elapsed: 0.044 s
% 3.91/1.25 % (2124691)Peak memory usage: 90 MB
% 3.91/1.25 % (2124691)Instructions burned: 72 (million)
% 3.91/1.25 % (2124691)------------------------------
% 3.91/1.25 % (2124691)------------------------------
% 3.91/1.25 % (2124682)Success in time 0.479 s
% 3.91/1.25 % Vampire exiting
%------------------------------------------------------------------------------