%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC022-1 : 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 : n006.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 01:02:05 PM UTC 2026
% Result : Unsatisfiable 3.03s 1.33s
% Output : Refutation 3.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 32
% Syntax : Number of formulae : 151 ( 25 unt; 14 def)
% Number of atoms : 461 ( 50 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 600 ( 290 ~; 296 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 15 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f60,axiom,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f61,axiom,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
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(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f98,axiom,
! [X0,X1] :
( cons(X0,X1) != nil
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f99,plain,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(reorient_equations,[],[f98]) ).
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(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) = cons(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f126,plain,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f125]) ).
fof(f155,axiom,
! [X2,X0,X1] :
( app(X0,X1) != X2
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| frontsegP(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).
fof(f200,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
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,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f210,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ frontsegP(sk2,X0)
| ~ frontsegP(sk1,X0)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| sk3 = X0
| ~ ssItem(X1)
| cons(X1,nil) != X0
| hd(sk4) != X1
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f223,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| frontsegP(app(X0,X1),X0) ),
inference(equality_resolution,[],[f155]) ).
fof(f238,plain,
! [X1] :
( ~ ssList(cons(X1,nil))
| sk3 = cons(X1,nil)
| ~ ssItem(X1)
| hd(sk4) != X1
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f211]) ).
fof(f239,plain,
( ~ ssList(cons(hd(sk4),nil))
| sk3 = cons(hd(sk4),nil)
| ~ ssItem(hd(sk4))
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f238]) ).
fof(f240,plain,
neq(sk2,nil),
inference(duplicate_literal_removal,[],[f206]) ).
fof(f248,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f249,plain,
( neq(sk4,nil)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f252,definition,
( spl0_2
<=> neq(nil,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f254,plain,
( ~ neq(nil,sk4)
| spl0_2 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f256,definition,
( spl0_3
<=> ssItem(hd(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f257,plain,
( ssItem(hd(sk4))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f258,plain,
( ~ ssItem(hd(sk4))
| spl0_3 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f260,definition,
( spl0_4
<=> sk3 = cons(hd(sk4),nil) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f262,plain,
( sk3 = cons(hd(sk4),nil)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f264,definition,
( spl0_5
<=> ssList(cons(hd(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f265,plain,
( ssList(cons(hd(sk4),nil))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f266,plain,
( ~ ssList(cons(hd(sk4),nil))
| spl0_5 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f267,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f239,f264,f260,f256,f252,f248]) ).
fof(f269,definition,
( spl0_6
<=> ! [X0] :
( ~ ssList(X0)
| ~ frontsegP(sk1,X0)
| ~ frontsegP(sk2,X0)
| ~ neq(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f270,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ frontsegP(sk1,X0)
| ~ frontsegP(sk2,X0)
| ~ neq(X0,nil) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f271,plain,
( ~ spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f210,f269,f248]) ).
fof(f273,definition,
( spl0_7
<=> neq(sk2,nil) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f275,plain,
( neq(sk2,nil)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f279,plain,
spl0_7,
inference(avatar_split_clause,[],[f240,f273]) ).
fof(f285,definition,
( spl0_9
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f286,plain,
( ssList(nil)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f321,plain,
spl0_9,
inference(avatar_split_clause,[],[f8,f285]) ).
fof(f324,plain,
( neq(sk4,nil)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f275,f204]) ).
fof(f327,plain,
( ! [X0] :
( ~ frontsegP(sk4,X0)
| ~ ssList(X0)
| ~ frontsegP(sk1,X0)
| ~ neq(X0,nil) )
| ~ spl0_6 ),
inference(forward_demodulation,[],[f270,f204]) ).
fof(f328,plain,
( spl0_1
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f324,f273,f248]) ).
fof(f337,definition,
( spl0_18
<=> frontsegP(sk1,nil) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f338,plain,
( frontsegP(sk1,nil)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f339,plain,
( ~ frontsegP(sk1,nil)
| spl0_18 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f341,plain,
( ~ ssList(sk4)
| ~ ssList(sk4)
| ~ frontsegP(sk1,sk4)
| ~ neq(sk4,nil)
| ~ spl0_6 ),
inference(resolution,[],[f61,f327]) ).
fof(f342,plain,
( ~ ssList(sk4)
| ~ frontsegP(sk1,sk4)
| ~ neq(sk4,nil)
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f341]) ).
fof(f343,plain,
( ~ frontsegP(sk1,sk4)
| ~ neq(sk4,nil)
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f342,f203]) ).
fof(f344,plain,
( ~ frontsegP(sk1,sk4)
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f343,f249]) ).
fof(f372,plain,
( ~ ssList(nil)
| ~ ssList(sk4)
| nil = sk4
| spl0_2 ),
inference(resolution,[],[f102,f254]) ).
fof(f377,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_2
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f372,f286]) ).
fof(f378,plain,
( nil = sk4
| spl0_2
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f377,f203]) ).
fof(f379,plain,
( ~ frontsegP(sk1,nil)
| ~ spl0_1
| spl0_2
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f344,f378]) ).
fof(f386,plain,
( ~ spl0_18
| ~ spl0_1
| spl0_2
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f379,f285,f269,f252,f248,f337]) ).
fof(f396,plain,
( sk1 = cons(hd(sk4),nil)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f262,f205]) ).
fof(f397,plain,
( ~ ssList(sk1)
| spl0_18 ),
inference(resolution,[],[f339,f60]) ).
fof(f398,plain,
( $false
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f397,f200]) ).
fof(f399,plain,
spl0_18,
inference(avatar_contradiction_clause,[],[f398]) ).
fof(f551,definition,
( spl0_19
<=> ssList(app(sk1,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f552,plain,
( ssList(app(sk1,nil))
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f563,definition,
( spl0_21
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f564,plain,
( nil != sk4
| spl0_21 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f565,plain,
( nil = sk4
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f567,definition,
( spl0_22
<=> sk4 = app(sk1,tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f569,plain,
( sk4 = app(sk1,tl(sk4))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f595,plain,
( nil != sk1
| ~ ssItem(hd(sk4))
| ~ ssList(nil)
| ~ spl0_4 ),
inference(superposition,[],[f99,f396]) ).
fof(f598,plain,
( nil != sk1
| ~ ssList(nil)
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f595,f257]) ).
fof(f599,plain,
( nil != sk1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f598,f286]) ).
fof(f659,plain,
( ! [X0] :
( cons(hd(sk4),X0) = app(sk1,X0)
| ~ ssList(X0)
| ~ ssItem(hd(sk4)) )
| ~ spl0_4 ),
inference(superposition,[],[f126,f396]) ).
fof(f667,plain,
( ! [X0] :
( cons(hd(sk4),X0) = app(sk1,X0)
| ~ ssList(X0) )
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f659,f257]) ).
fof(f705,plain,
( sk4 = app(sk1,tl(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(sk4)
| nil = sk4
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f667,f107]) ).
fof(f706,plain,
( sk1 = app(sk1,nil)
| ~ ssList(nil)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f396,f667]) ).
fof(f707,plain,
( ssList(app(sk1,nil))
| ~ ssList(nil)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f265,f667]) ).
fof(f746,plain,
( ssList(app(sk1,nil))
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f707,f286]) ).
fof(f747,plain,
( sk1 = app(sk1,nil)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f706,f286]) ).
fof(f748,plain,
( sk4 = app(sk1,tl(sk4))
| ~ ssList(sk4)
| nil = sk4
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f705,f75]) ).
fof(f760,plain,
( spl0_19
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f746,f285,f264,f260,f256,f551]) ).
fof(f761,plain,
( sk4 = app(sk1,tl(sk4))
| nil = sk4
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f748,f203]) ).
fof(f764,plain,
( spl0_21
| spl0_22
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f761,f260,f256,f567,f563]) ).
fof(f776,plain,
( ~ frontsegP(sk1,nil)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_21 ),
inference(superposition,[],[f344,f565]) ).
fof(f780,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_18
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f776,f338]) ).
fof(f781,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_18
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f780]) ).
fof(f787,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk4))
| spl0_5 ),
inference(resolution,[],[f266,f86]) ).
fof(f788,plain,
( ~ ssItem(hd(sk4))
| spl0_5
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f787,f286]) ).
fof(f789,plain,
( $false
| ~ spl0_3
| spl0_5
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f788,f257]) ).
fof(f790,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f789]) ).
fof(f1095,plain,
( ~ ssList(sk1)
| ~ ssList(nil)
| frontsegP(app(sk1,nil),sk1)
| ~ spl0_19 ),
inference(resolution,[],[f552,f223]) ).
fof(f1097,plain,
( ~ ssList(nil)
| frontsegP(app(sk1,nil),sk1)
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1095,f200]) ).
fof(f1098,plain,
( frontsegP(app(sk1,nil),sk1)
| ~ spl0_9
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1097,f286]) ).
fof(f1290,plain,
( frontsegP(sk1,sk1)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_9
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1098,f747]) ).
fof(f1308,plain,
( ~ ssList(sk4)
| ~ ssList(sk1)
| ~ ssList(tl(sk4))
| frontsegP(sk4,sk1)
| ~ spl0_22 ),
inference(superposition,[],[f223,f569]) ).
fof(f1311,plain,
( ~ ssList(sk1)
| ~ ssList(tl(sk4))
| frontsegP(sk4,sk1)
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1308,f203]) ).
fof(f1313,plain,
( ~ ssList(tl(sk4))
| frontsegP(sk4,sk1)
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1311,f200]) ).
fof(f1316,definition,
( spl0_27
<=> frontsegP(sk4,sk1) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f1318,plain,
( frontsegP(sk4,sk1)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f1316]) ).
fof(f1320,definition,
( spl0_28
<=> ssList(tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f1322,plain,
( ~ ssList(tl(sk4))
| spl0_28 ),
inference(avatar_component_clause,[],[f1320]) ).
fof(f1326,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_28 ),
inference(resolution,[],[f1322,f75]) ).
fof(f1327,plain,
( nil = sk4
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f1326,f203]) ).
fof(f1328,plain,
( $false
| spl0_21
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f1327,f564]) ).
fof(f1329,plain,
( spl0_21
| spl0_28 ),
inference(avatar_contradiction_clause,[],[f1328]) ).
fof(f1331,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_3 ),
inference(resolution,[],[f258,f76]) ).
fof(f1332,plain,
( nil = sk4
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f1331,f203]) ).
fof(f1333,plain,
( $false
| spl0_3
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f1332,f564]) ).
fof(f1334,plain,
( spl0_3
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f1333]) ).
fof(f1396,plain,
( spl0_27
| ~ spl0_28
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f1313,f567,f1320,f1316]) ).
fof(f1497,plain,
( ~ ssList(sk1)
| ~ frontsegP(sk1,sk1)
| ~ neq(sk1,nil)
| ~ spl0_6
| ~ spl0_27 ),
inference(resolution,[],[f1318,f327]) ).
fof(f1507,plain,
( ~ frontsegP(sk1,sk1)
| ~ neq(sk1,nil)
| ~ spl0_6
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1497,f200]) ).
fof(f1512,plain,
( ~ neq(sk1,nil)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_19
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1507,f1290]) ).
fof(f1518,plain,
( ~ ssList(sk1)
| ~ ssList(nil)
| nil = sk1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_19
| ~ spl0_27 ),
inference(resolution,[],[f1512,f102]) ).
fof(f1519,plain,
( ~ ssList(nil)
| nil = sk1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_19
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1518,f200]) ).
fof(f1521,plain,
( nil = sk1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_19
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1519,f286]) ).
fof(f1531,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_19
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1521,f599]) ).
fof(f1532,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_19
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1531]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f267]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f271]) ).
cnf(s6,plain,
spl0_7,
inference(sat_conversion,[],[f279]) ).
cnf(s16,plain,
spl0_9,
inference(sat_conversion,[],[f321]) ).
cnf(s18,plain,
( spl0_1
| ~ spl0_7 ),
inference(sat_conversion,[],[f328]) ).
cnf(s21,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_6
| ~ spl0_9
| ~ spl0_18 ),
inference(sat_conversion,[],[f386]) ).
cnf(s27,plain,
spl0_18,
inference(sat_conversion,[],[f399]) ).
cnf(s35,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| spl0_19 ),
inference(sat_conversion,[],[f760]) ).
cnf(s38,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f764]) ).
cnf(s39,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_18
| ~ spl0_21 ),
inference(sat_conversion,[],[f781]) ).
cnf(s42,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_9 ),
inference(sat_conversion,[],[f790]) ).
cnf(s46,plain,
( spl0_21
| spl0_28 ),
inference(sat_conversion,[],[f1329]) ).
cnf(s47,plain,
( spl0_3
| spl0_21 ),
inference(sat_conversion,[],[f1334]) ).
cnf(s64,plain,
( ~ spl0_22
| spl0_27
| ~ spl0_28 ),
inference(sat_conversion,[],[f1396]) ).
cnf(s82,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_19
| ~ spl0_27 ),
inference(sat_conversion,[],[f1532]) ).
cnf(s83,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_6
| ~ spl0_9 ),
inference(rat,[],[s21,s27]) ).
cnf(s89,plain,
spl0_1,
inference(rat,[],[s18,s6]) ).
cnf(s90,plain,
spl0_6,
inference(rat,[],[s2,s89]) ).
cnf(s91,plain,
~ spl0_21,
inference(rat,[],[s39,s89,s27,s90]) ).
cnf(s93,plain,
spl0_2,
inference(rat,[],[s83,s16,s89,s90]) ).
cnf(s94,plain,
spl0_3,
inference(rat,[],[s47,s91]) ).
cnf(s95,plain,
spl0_28,
inference(rat,[],[s46,s91]) ).
cnf(s96,plain,
spl0_5,
inference(rat,[],[s42,s16,s94]) ).
cnf(s97,plain,
spl0_4,
inference(rat,[],[s1,s96,s94,s93,s89]) ).
cnf(s106,plain,
spl0_22,
inference(rat,[],[s38,s94,s91,s97]) ).
cnf(s107,plain,
spl0_19,
inference(rat,[],[s35,s94,s16,s96,s97]) ).
cnf(s108,plain,
spl0_27,
inference(rat,[],[s64,s95,s106]) ).
cnf(s109,plain,
$false,
inference(rat,[],[s82,s97,s94,s16,s90,s108,s107]) ).
fof(f1533,plain,
$false,
inference(avatar_sat_refutation,[],[s109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC022-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n006.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 07:28:40 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 3.03/1.32 % (3797662)Input is clausal, will run a generic CNF schedule.
% 3.03/1.32 % (3797669)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2249815620:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.03/1.32 % (3797668)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3494566423:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.03/1.32 % (3797667)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=2656204115:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.03/1.32 % (3797673)dis-21_1_sil=8000:lcm=predicate:random_seed=3298365980: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)
% 3.03/1.32 % (3797671)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2801293671:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.03/1.32 % (3797670)lrs+10_1_sil=8000:sp=occurrence:random_seed=273619463:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.03/1.32 % (3797672)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=850413680:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.03/1.32 % (3797672)First to succeed.
% 3.03/1.32 % (3797672)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3797662"
% 3.03/1.32 % (3797673)Instruction limit reached!
% 3.03/1.32 % (3797673)------------------------------
% 3.03/1.32 % (3797673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.32 % (3797673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.32 % (3797673)CaDiCaL version: 2.1.3
% 3.03/1.32 % (3797673)Termination reason: Instruction limit
% 3.03/1.32 % (3797673)Termination phase: Saturation
% 3.03/1.32 % (3797673)Time elapsed: 0.050 s
% 3.03/1.32 % (3797673)Peak memory usage: 89 MB
% 3.03/1.32 % (3797673)Instructions burned: 117 (million)
% 3.03/1.32 % (3797670)Instruction limit reached!
% 3.03/1.32 % (3797670)------------------------------
% 3.03/1.32 % (3797670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.33 % (3797670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.33 % (3797670)CaDiCaL version: 2.1.3
% 3.03/1.33 % (3797670)Termination reason: Instruction limit
% 3.03/1.33 % (3797670)Termination phase: Saturation
% 3.03/1.33 % (3797670)Time elapsed: 0.067 s
% 3.03/1.33 % (3797670)Peak memory usage: 89 MB
% 3.03/1.33 % (3797670)Instructions burned: 109 (million)
% 3.03/1.33 % (3797671)Instruction limit reached!
% 3.03/1.33 % (3797671)------------------------------
% 3.03/1.33 % (3797671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.33 % (3797671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.33 % (3797671)CaDiCaL version: 2.1.3
% 3.03/1.33 % (3797671)Termination reason: Instruction limit
% 3.03/1.33 % (3797671)Termination phase: Saturation
% 3.03/1.33 % (3797671)Time elapsed: 0.070 s
% 3.03/1.33 % (3797671)Peak memory usage: 89 MB
% 3.03/1.33 % (3797671)Instructions burned: 116 (million)
% 3.03/1.33 % (3797681)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=3907044755:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.03/1.33 % (3797681)Also succeeded, but the first one will report.
% 3.03/1.33 % (3797683)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1949307379:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.03/1.33 % (3797682)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3514264332: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)
% 3.03/1.33 % (3797683)Also succeeded, but the first one will report.
% 3.03/1.33 % (3797672)Refutation found. Thanks to Tanya!
% 3.03/1.33 % SZS status Unsatisfiable for theBenchmark
% 3.03/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 3.93/1.43 % (3797672)------------------------------
% 3.93/1.43 % (3797672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.93/1.43 % (3797672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/1.43 % (3797672)CaDiCaL version: 2.1.3
% 3.93/1.43 % (3797672)Termination reason: Refutation
% 3.93/1.43 % (3797672)Time elapsed: 0.035 s
% 3.93/1.43 % (3797672)Peak memory usage: 90 MB
% 3.93/1.43 % (3797672)Instructions burned: 50 (million)
% 3.93/1.43 % (3797672)------------------------------
% 3.93/1.43 % (3797672)------------------------------
% 3.93/1.43 % (3797662)Success in time 0.483 s
% 3.93/1.43 % Vampire exiting
%------------------------------------------------------------------------------