%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC395-1 : 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 : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:03:48 PM UTC 2026
% Result : Unsatisfiable 3.17s 1.15s
% Output : Refutation 3.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 33
% Syntax : Number of formulae : 142 ( 26 unt; 13 def)
% Number of atoms : 413 ( 62 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 491 ( 220 ~; 258 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 14 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
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(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
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(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(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(f150,axiom,
! [X2,X0,X1] :
( memberP(cons(X2,X0),X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
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,
memberP(sk1,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
~ memberP(sk2,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| sk3 = X0
| ~ ssList(X1)
| ~ ssList(X2)
| tl(sk4) != X1
| app(X1,X2) != X0
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk4) != X3
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f213,plain,
memberP(sk3,sk5),
inference(definition_unfolding,[],[f207,f205]) ).
fof(f214,plain,
~ memberP(sk4,sk5),
inference(definition_unfolding,[],[f208,f204]) ).
fof(f215,plain,
! [X2,X3,X0] :
( ~ ssList(X0)
| sk3 = X0
| ~ ssList(tl(sk4))
| ~ ssList(X2)
| app(tl(sk4),X2) != X0
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk4) != X3
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f210]) ).
fof(f216,plain,
! [X2,X3] :
( ~ ssList(app(tl(sk4),X2))
| sk3 = app(tl(sk4),X2)
| ~ ssList(tl(sk4))
| ~ ssList(X2)
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk4) != X3
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f215]) ).
fof(f217,plain,
! [X3] :
( ~ ssList(app(tl(sk4),cons(X3,nil)))
| sk3 = app(tl(sk4),cons(X3,nil))
| ~ ssList(tl(sk4))
| ~ ssList(cons(X3,nil))
| ~ ssItem(X3)
| hd(sk4) != X3
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f216]) ).
fof(f218,plain,
( ~ ssList(app(tl(sk4),cons(hd(sk4),nil)))
| sk3 = app(tl(sk4),cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssItem(hd(sk4))
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f217]) ).
fof(f220,plain,
! [X2,X1] :
( ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f149]) ).
fof(f234,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(duplicate_literal_removal,[],[f220]) ).
fof(f235,plain,
( ~ ssList(app(tl(sk4),cons(hd(sk4),nil)))
| sk3 = app(tl(sk4),cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssItem(hd(sk4))
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(duplicate_literal_removal,[],[f218]) ).
fof(f252,definition,
( spl0_5
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f253,plain,
( ~ neq(sk4,nil)
| spl0_5 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f255,definition,
( spl0_6
<=> neq(nil,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f256,plain,
( ~ neq(nil,sk4)
| spl0_6 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f258,definition,
( spl0_7
<=> ssItem(hd(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f259,plain,
( ~ ssItem(hd(sk4))
| spl0_7 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f261,definition,
( spl0_8
<=> ssList(cons(hd(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f262,plain,
( ~ ssList(cons(hd(sk4),nil))
| spl0_8 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f264,definition,
( spl0_9
<=> ssList(tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f265,plain,
( ~ ssList(tl(sk4))
| spl0_9 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f267,definition,
( spl0_10
<=> sk3 = app(tl(sk4),cons(hd(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f268,plain,
( sk3 = app(tl(sk4),cons(hd(sk4),nil))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f270,definition,
( spl0_11
<=> ssList(app(tl(sk4),cons(hd(sk4),nil))) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f271,plain,
( ~ ssList(app(tl(sk4),cons(hd(sk4),nil)))
| spl0_11 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f272,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f235,f270,f267,f264,f261,f258,f255,f252]) ).
fof(f274,definition,
( spl0_12
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f275,plain,
( nil != sk4
| spl0_12 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f277,definition,
( spl0_13
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f278,plain,
( nil = sk3
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f279,plain,
( ~ spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f209,f277,f274]) ).
fof(f284,plain,
( ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| spl0_11 ),
inference(resolution,[],[f85,f271]) ).
fof(f291,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_11 ),
inference(avatar_split_clause,[],[f284,f270,f264,f261]) ).
fof(f292,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk4))
| spl0_8 ),
inference(resolution,[],[f86,f262]) ).
fof(f293,plain,
( ~ ssItem(hd(sk4))
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f292,f8]) ).
fof(f294,plain,
( ~ spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f293,f261,f258]) ).
fof(f295,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_7 ),
inference(resolution,[],[f259,f76]) ).
fof(f296,plain,
( nil = sk4
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f295,f203]) ).
fof(f297,plain,
( $false
| spl0_7
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f296,f275]) ).
fof(f298,plain,
( spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f297]) ).
fof(f299,plain,
( memberP(nil,sk5)
| ~ spl0_13 ),
inference(superposition,[],[f213,f278]) ).
fof(f306,plain,
( ~ ssItem(sk5)
| ~ spl0_13 ),
inference(resolution,[],[f299,f71]) ).
fof(f307,plain,
( $false
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f306,f206]) ).
fof(f308,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f307]) ).
fof(f309,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_9 ),
inference(resolution,[],[f265,f75]) ).
fof(f310,plain,
( nil = sk4
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f309,f203]) ).
fof(f311,plain,
( $false
| spl0_9
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f310,f275]) ).
fof(f312,plain,
( spl0_9
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f311]) ).
fof(f317,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl0_5 ),
inference(resolution,[],[f102,f253]) ).
fof(f320,plain,
( ~ ssList(nil)
| nil = sk4
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f317,f203]) ).
fof(f321,plain,
( nil = sk4
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f320,f8]) ).
fof(f322,plain,
( $false
| spl0_5
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f321,f275]) ).
fof(f323,plain,
( spl0_5
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f322]) ).
fof(f324,plain,
( ~ ssList(nil)
| ~ ssList(sk4)
| nil = sk4
| spl0_6 ),
inference(resolution,[],[f256,f102]) ).
fof(f325,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f324,f8]) ).
fof(f326,plain,
( nil = sk4
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f325,f203]) ).
fof(f327,plain,
( $false
| spl0_6
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f326,f275]) ).
fof(f328,plain,
( spl0_6
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f327]) ).
fof(f329,plain,
( memberP(app(tl(sk4),cons(hd(sk4),nil)),sk5)
| ~ spl0_10 ),
inference(superposition,[],[f213,f268]) ).
fof(f339,plain,
! [X0] :
( memberP(X0,hd(X0))
| ~ ssItem(hd(X0))
| ~ ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(superposition,[],[f234,f107]) ).
fof(f344,plain,
! [X0] :
( memberP(X0,hd(X0))
| ~ ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(forward_subsumption_resolution,[],[f339,f76]) ).
fof(f348,plain,
! [X0] :
( memberP(X0,hd(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(forward_subsumption_resolution,[],[f344,f75]) ).
fof(f403,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(f404,plain,
! [X0,X1] :
( memberP(X0,X1)
| ~ ssItem(hd(X0))
| ~ ssItem(X1)
| ~ memberP(tl(X0),X1)
| ~ ssList(X0)
| nil = X0 ),
inference(forward_subsumption_resolution,[],[f403,f75]) ).
fof(f405,plain,
! [X0,X1] :
( ~ memberP(tl(X0),X1)
| ~ ssItem(X1)
| memberP(X0,X1)
| ~ ssList(X0)
| nil = X0 ),
inference(forward_subsumption_resolution,[],[f404,f76]) ).
fof(f817,plain,
( ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| ~ ssItem(sk5)
| memberP(cons(hd(sk4),nil),sk5)
| memberP(tl(sk4),sk5)
| ~ spl0_10 ),
inference(resolution,[],[f170,f329]) ).
fof(f839,plain,
( ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| memberP(cons(hd(sk4),nil),sk5)
| memberP(tl(sk4),sk5)
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f817,f206]) ).
fof(f842,definition,
( spl0_22
<=> memberP(tl(sk4),sk5) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f843,plain,
( memberP(tl(sk4),sk5)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f845,definition,
( spl0_23
<=> memberP(cons(hd(sk4),nil),sk5) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f846,plain,
( memberP(cons(hd(sk4),nil),sk5)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f845]) ).
fof(f847,plain,
( spl0_22
| spl0_23
| ~ spl0_9
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f839,f267,f261,f264,f845,f842]) ).
fof(f1135,plain,
( ~ ssItem(sk5)
| memberP(sk4,sk5)
| ~ ssList(sk4)
| nil = sk4
| ~ spl0_22 ),
inference(resolution,[],[f405,f843]) ).
fof(f1145,plain,
( memberP(sk4,sk5)
| ~ ssList(sk4)
| nil = sk4
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1135,f206]) ).
fof(f1148,plain,
( ~ ssList(sk4)
| nil = sk4
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1145,f214]) ).
fof(f1149,plain,
( nil = sk4
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1148,f203]) ).
fof(f1150,plain,
( $false
| spl0_12
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1149,f275]) ).
fof(f1151,plain,
( spl0_12
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1150]) ).
fof(f1152,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk4))
| ~ ssItem(sk5)
| memberP(nil,sk5)
| sk5 = hd(sk4)
| ~ spl0_23 ),
inference(resolution,[],[f846,f174]) ).
fof(f1153,plain,
( ~ ssItem(hd(sk4))
| ~ ssItem(sk5)
| memberP(nil,sk5)
| sk5 = hd(sk4)
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1152,f8]) ).
fof(f1154,plain,
( ~ ssItem(hd(sk4))
| memberP(nil,sk5)
| sk5 = hd(sk4)
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1153,f206]) ).
fof(f1156,definition,
( spl0_24
<=> sk5 = hd(sk4) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f1157,plain,
( sk5 = hd(sk4)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f1156]) ).
fof(f1159,definition,
( spl0_25
<=> memberP(nil,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f1160,plain,
( memberP(nil,sk5)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f1159]) ).
fof(f1161,plain,
( spl0_24
| spl0_25
| ~ spl0_7
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1154,f845,f258,f1159,f1156]) ).
fof(f1217,plain,
( ~ memberP(sk4,hd(sk4))
| ~ spl0_24 ),
inference(superposition,[],[f214,f1157]) ).
fof(f1255,plain,
( ~ ssList(sk4)
| nil = sk4
| ~ spl0_24 ),
inference(resolution,[],[f1217,f348]) ).
fof(f1256,plain,
( nil = sk4
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1255,f203]) ).
fof(f1257,plain,
( $false
| spl0_12
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1256,f275]) ).
fof(f1258,plain,
( spl0_12
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1257]) ).
fof(f1260,plain,
( ~ ssItem(sk5)
| ~ spl0_25 ),
inference(resolution,[],[f1160,f71]) ).
fof(f1261,plain,
( $false
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f1260,f206]) ).
fof(f1262,plain,
~ spl0_25,
inference(avatar_contradiction_clause,[],[f1261]) ).
cnf(s4,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f272]) ).
cnf(s5,plain,
( ~ spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f279]) ).
cnf(s9,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f291]) ).
cnf(s10,plain,
( ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f294]) ).
cnf(s11,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f298]) ).
cnf(s12,plain,
~ spl0_13,
inference(sat_conversion,[],[f308]) ).
cnf(s13,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f312]) ).
cnf(s14,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f323]) ).
cnf(s15,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f328]) ).
cnf(s21,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_22
| spl0_23 ),
inference(sat_conversion,[],[f847]) ).
cnf(s22,plain,
( spl0_12
| ~ spl0_22 ),
inference(sat_conversion,[],[f1151]) ).
cnf(s23,plain,
( ~ spl0_7
| ~ spl0_23
| spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f1161]) ).
cnf(s24,plain,
( spl0_12
| ~ spl0_24 ),
inference(sat_conversion,[],[f1258]) ).
cnf(s25,plain,
~ spl0_25,
inference(sat_conversion,[],[f1262]) ).
cnf(s26,plain,
( ~ spl0_7
| ~ spl0_23
| spl0_24 ),
inference(rat,[],[s23,s25]) ).
cnf(s27,plain,
~ spl0_12,
inference(rat,[],[s5,s12]) ).
cnf(s28,plain,
~ spl0_24,
inference(rat,[],[s24,s27]) ).
cnf(s29,plain,
~ spl0_22,
inference(rat,[],[s22,s27]) ).
cnf(s30,plain,
spl0_6,
inference(rat,[],[s15,s27]) ).
cnf(s31,plain,
spl0_5,
inference(rat,[],[s14,s27]) ).
cnf(s32,plain,
spl0_9,
inference(rat,[],[s13,s27]) ).
cnf(s33,plain,
spl0_7,
inference(rat,[],[s11,s27]) ).
cnf(s34,plain,
~ spl0_23,
inference(rat,[],[s26,s28,s33]) ).
cnf(s35,plain,
spl0_8,
inference(rat,[],[s10,s33]) ).
cnf(s36,plain,
~ spl0_10,
inference(rat,[],[s21,s34,s29,s32,s35]) ).
cnf(s37,plain,
spl0_11,
inference(rat,[],[s9,s32,s35]) ).
cnf(s38,plain,
$false,
inference(rat,[],[s4,s37,s36,s32,s35,s33,s30,s31]) ).
fof(f1263,plain,
$false,
inference(avatar_sat_refutation,[],[s38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC395-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n016.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 09:31:48 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 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
% 3.17/1.15 % (3506496)Input is clausal, will run a generic CNF schedule.
% 3.17/1.15 % (3506656)lrs+10_1_sil=8000:sp=occurrence:random_seed=382094970:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.17/1.15 % (3506656)Instruction limit reached!
% 3.17/1.15 % (3506656)------------------------------
% 3.17/1.15 % (3506656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.17/1.15 % (3506656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/1.15 % (3506656)CaDiCaL version: 2.1.3
% 3.17/1.15 % (3506656)Termination reason: Instruction limit
% 3.17/1.15 % (3506656)Termination phase: Saturation
% 3.17/1.15 % (3506656)Time elapsed: 0.037 s
% 3.17/1.15 % (3506656)Peak memory usage: 90 MB
% 3.17/1.15 % (3506656)Instructions burned: 107 (million)
% 3.17/1.15 % (3506659)dis-21_1_sil=8000:lcm=predicate:random_seed=2571976123: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)
% 3.17/1.15 % (3506658)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=382718596:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.17/1.15 % (3506657)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2616347896:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.17/1.15 % (3506655)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2403514289:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.17/1.15 % (3506652)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=3449620602:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.17/1.15 % (3506654)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1543855500:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.17/1.15 % (3506657)First to succeed.
% 3.17/1.15 % (3506657)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3506496"
% 3.17/1.15 % (3506659)Instruction limit reached!
% 3.17/1.15 % (3506659)------------------------------
% 3.17/1.15 % (3506659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.17/1.15 % (3506659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/1.15 % (3506659)CaDiCaL version: 2.1.3
% 3.17/1.15 % (3506659)Termination reason: Instruction limit
% 3.17/1.15 % (3506659)Termination phase: Saturation
% 3.17/1.15 % (3506659)Time elapsed: 0.066 s
% 3.17/1.15 % (3506659)Peak memory usage: 89 MB
% 3.17/1.15 % (3506659)Instructions burned: 117 (million)
% 3.17/1.15 % (3506661)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=975024833:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.17/1.15 % (3506658)Instruction limit reached!
% 3.17/1.15 % (3506658)------------------------------
% 3.17/1.15 % (3506658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.17/1.15 % (3506658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/1.15 % (3506658)CaDiCaL version: 2.1.3
% 3.17/1.15 % (3506658)Termination reason: Instruction limit
% 3.17/1.15 % (3506658)Termination phase: Saturation
% 3.17/1.15 % (3506658)Time elapsed: 0.123 s
% 3.17/1.15 % (3506658)Peak memory usage: 90 MB
% 3.17/1.15 % (3506658)Instructions burned: 181 (million)
% 3.17/1.15 % (3506661)Instruction limit reached!
% 3.17/1.15 % (3506661)------------------------------
% 3.17/1.15 % (3506661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.17/1.15 % (3506661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/1.15 % (3506661)CaDiCaL version: 2.1.3
% 3.17/1.15 % (3506661)Termination reason: Instruction limit
% 3.17/1.15 % (3506661)Termination phase: Saturation
% 3.17/1.15 % (3506661)Time elapsed: 0.049 s
% 3.17/1.15 % (3506661)Peak memory usage: 90 MB
% 3.17/1.15 % (3506661)Instructions burned: 143 (million)
% 3.17/1.15 % (3506668)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1275865379: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)
% 3.17/1.15 % (3506671)lrs+10_64_to=lpo:sil=8000:random_seed=1546793087:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 3.17/1.15 % (3506670)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=731553486:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 3.17/1.15 % (3506670)Refutation not found, incomplete strategy
% 3.17/1.15 % (3506670)------------------------------
% 3.17/1.15 % (3506670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.17/1.15 % (3506670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/1.15 % (3506670)CaDiCaL version: 2.1.3
% 3.17/1.15 % (3506670)Termination reason: Refutation not found, incomplete strategy
% 3.17/1.15 % (3506670)Time elapsed: 0.005 s
% 3.17/1.15 % (3506670)Peak memory usage: 88 MB
% 3.17/1.15 % (3506670)Instructions burned: 7 (million)
% 3.17/1.15 % (3506657)Refutation found. Thanks to Tanya!
% 3.17/1.15 % SZS status Unsatisfiable for theBenchmark
% 3.17/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 3.94/1.34 % (3506657)------------------------------
% 3.94/1.34 % (3506657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.34 % (3506657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.34 % (3506657)CaDiCaL version: 2.1.3
% 3.94/1.34 % (3506657)Termination reason: Refutation
% 3.94/1.34 % (3506657)Time elapsed: 0.045 s
% 3.94/1.34 % (3506657)Peak memory usage: 90 MB
% 3.94/1.34 % (3506657)Instructions burned: 74 (million)
% 3.94/1.34 % (3506657)------------------------------
% 3.94/1.34 % (3506657)------------------------------
% 3.94/1.34 % (3506496)Success in time 0.484 s
% 3.94/1.34 % Vampire exiting
%------------------------------------------------------------------------------