%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC114-1 : 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 : n017.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 01:02:31 PM UTC 2026
% Result : Unsatisfiable 4.28s 1.53s
% Output : Refutation 5.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 34
% Syntax : Number of formulae : 120 ( 19 unt; 9 def)
% Number of atoms : 400 ( 47 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 540 ( 260 ~; 272 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 9 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 88 ( 0 sgn 88 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
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(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(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(f161,axiom,
! [X2,X0,X1] :
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f182,axiom,
! [X0,X1] :
( app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
fof(f186,axiom,
! [X2,X3,X0,X1] :
( segmentP(app(app(X3,X0),X2),X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
fof(f187,axiom,
! [X2,X3,X0,X1] :
( app(app(X0,X1),X2) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| segmentP(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(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,
( nil != sk2
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( ssItem(sk5)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ssItem(sk5)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,plain,
( sk3 = cons(sk5,nil)
| nil = sk4 ),
inference(reorient_equations,[],[f209]) ).
fof(f213,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f214,plain,
( sk3 = cons(sk5,nil)
| nil = sk3 ),
inference(reorient_equations,[],[f213]) ).
fof(f215,negated_conjecture,
( memberP(sk4,sk5)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f217,negated_conjecture,
( ~ neq(sk1,nil)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f220,plain,
( nil != sk4
| nil != sk3 ),
inference(definition_unfolding,[],[f206,f204,f205]) ).
fof(f221,plain,
( ~ neq(sk3,nil)
| ~ segmentP(sk4,sk3) ),
inference(definition_unfolding,[],[f217,f205,f204,f205]) ).
fof(f236,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X2) ),
inference(equality_resolution,[],[f187]) ).
fof(f246,definition,
sF0 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f247,plain,
cons(sk5,nil) = sF0,
inference(reorient_equations,[],[f246]) ).
fof(f248,plain,
( sk3 = sF0
| nil = sk4 ),
inference(definition_folding,[],[f210,f247]) ).
fof(f249,plain,
( sk3 = sF0
| nil = sk3 ),
inference(definition_folding,[],[f214,f247]) ).
fof(f257,definition,
( spl1_1
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f259,plain,
( ~ segmentP(sk4,sk3)
| spl1_1 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f261,definition,
( spl1_2
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f263,plain,
( ~ neq(sk3,nil)
| spl1_2 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f264,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f221,f261,f257]) ).
fof(f266,definition,
( spl1_3
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f267,plain,
( nil != sk3
| spl1_3 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f268,plain,
( nil = sk3
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f274,definition,
( spl1_5
<=> memberP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f276,plain,
( memberP(sk4,sk5)
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f277,plain,
( spl1_3
| spl1_5 ),
inference(avatar_split_clause,[],[f215,f274,f266]) ).
fof(f279,definition,
( spl1_6
<=> sk3 = sF0 ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
fof(f281,plain,
( sk3 = sF0
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f282,plain,
( spl1_3
| spl1_6 ),
inference(avatar_split_clause,[],[f249,f279,f266]) ).
fof(f284,definition,
( spl1_7
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
fof(f289,plain,
( spl1_7
| spl1_6 ),
inference(avatar_split_clause,[],[f248,f279,f284]) ).
fof(f291,definition,
( spl1_8
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
fof(f293,plain,
( ssItem(sk5)
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f294,plain,
( spl1_3
| spl1_8 ),
inference(avatar_split_clause,[],[f208,f291,f266]) ).
fof(f295,plain,
( spl1_7
| spl1_8 ),
inference(avatar_split_clause,[],[f207,f291,f284]) ).
fof(f296,plain,
( ~ spl1_3
| ~ spl1_7 ),
inference(avatar_split_clause,[],[f220,f284,f266]) ).
fof(f302,definition,
( spl1_10
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
fof(f303,plain,
( ssList(nil)
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f338,plain,
spl1_10,
inference(avatar_split_clause,[],[f8,f302]) ).
fof(f339,plain,
( sk3 = cons(sk5,nil)
| ~ spl1_6 ),
inference(backward_demodulation,[],[f247,f281]) ).
fof(f420,plain,
! [X2,X3,X0,X1] :
( segmentP(app(X0,X2),X3)
| ~ ssList(X2)
| ~ ssList(skaf42(X0,X1))
| ~ ssList(X3)
| ~ ssList(cons(X1,skaf43(X1,X0)))
| ~ segmentP(cons(X1,skaf43(X1,X0)),X3)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(superposition,[],[f186,f182]) ).
fof(f421,plain,
! [X2,X3,X0,X1] :
( ~ segmentP(cons(X1,skaf43(X1,X0)),X3)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(cons(X1,skaf43(X1,X0)))
| segmentP(app(X0,X2),X3)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(forward_subsumption_resolution,[],[f420,f53]) ).
fof(f473,plain,
! [X2,X0,X1] :
( segmentP(app(X0,app(X1,X2)),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X0,app(X1,X2)))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(superposition,[],[f236,f161]) ).
fof(f487,plain,
! [X2,X0,X1] :
( segmentP(app(X0,app(X1,X2)),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X0,app(X1,X2)))
| ~ ssList(X2) ),
inference(duplicate_literal_removal,[],[f473]) ).
fof(f638,plain,
( nil != sk3
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl1_6 ),
inference(superposition,[],[f99,f339]) ).
fof(f644,plain,
! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(app(X0,X1)) ),
inference(superposition,[],[f487,f74]) ).
fof(f645,plain,
! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f644]) ).
fof(f651,plain,
! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[],[f645,f85]) ).
fof(f656,plain,
( ! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f651,f303]) ).
fof(f659,plain,
( ! [X0] :
( cons(sk5,X0) = app(sk3,X0)
| ~ ssList(X0)
| ~ ssItem(sk5) )
| ~ spl1_6 ),
inference(superposition,[],[f126,f339]) ).
fof(f672,plain,
( ! [X0] :
( cons(sk5,X0) = app(sk3,X0)
| ~ ssList(X0) )
| ~ spl1_6
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f659,f293]) ).
fof(f747,plain,
( ! [X2,X0,X1] :
( ~ segmentP(app(sk3,skaf43(sk5,X0)),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(sk3,skaf43(sk5,X0)))
| segmentP(app(X0,X2),X1)
| ~ ssItem(sk5)
| ~ ssList(X0)
| ~ memberP(X0,sk5)
| ~ ssList(skaf43(sk5,X0)) )
| ~ spl1_6
| ~ spl1_8 ),
inference(superposition,[],[f421,f672]) ).
fof(f753,plain,
( ! [X0] :
( ssList(app(sk3,X0))
| ~ ssList(X0)
| ~ ssItem(sk5)
| ~ ssList(X0) )
| ~ spl1_6
| ~ spl1_8 ),
inference(superposition,[],[f86,f672]) ).
fof(f756,plain,
( ! [X0] :
( ssList(app(sk3,X0))
| ~ ssList(X0)
| ~ ssItem(sk5) )
| ~ spl1_6
| ~ spl1_8 ),
inference(duplicate_literal_removal,[],[f753]) ).
fof(f763,plain,
( ! [X0] :
( ssList(app(sk3,X0))
| ~ ssList(X0) )
| ~ spl1_6
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f756,f293]) ).
fof(f769,plain,
( ! [X2,X0,X1] :
( ~ segmentP(app(sk3,skaf43(sk5,X0)),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(sk3,skaf43(sk5,X0)))
| segmentP(app(X0,X2),X1)
| ~ ssList(X0)
| ~ memberP(X0,sk5)
| ~ ssList(skaf43(sk5,X0)) )
| ~ spl1_6
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f747,f293]) ).
fof(f775,plain,
( ! [X2,X0,X1] :
( ~ segmentP(app(sk3,skaf43(sk5,X0)),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| segmentP(app(X0,X2),X1)
| ~ ssList(X0)
| ~ memberP(X0,sk5)
| ~ ssList(skaf43(sk5,X0)) )
| ~ spl1_6
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f769,f763]) ).
fof(f778,plain,
( ! [X2,X0,X1] :
( ~ segmentP(app(sk3,skaf43(sk5,X0)),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| segmentP(app(X0,X2),X1)
| ~ ssList(X0)
| ~ memberP(X0,sk5) )
| ~ spl1_6
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f775,f52]) ).
fof(f787,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(sk3)
| segmentP(app(X1,X0),sk3)
| ~ ssList(X1)
| ~ memberP(X1,sk5)
| ~ ssList(sk3)
| ~ ssList(skaf43(sk5,X1)) )
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10 ),
inference(resolution,[],[f778,f656]) ).
fof(f790,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(sk3)
| segmentP(app(X1,X0),sk3)
| ~ ssList(X1)
| ~ memberP(X1,sk5)
| ~ ssList(skaf43(sk5,X1)) )
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10 ),
inference(duplicate_literal_removal,[],[f787]) ).
fof(f792,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| segmentP(app(X1,X0),sk3)
| ~ ssList(X1)
| ~ memberP(X1,sk5)
| ~ ssList(skaf43(sk5,X1)) )
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f790,f202]) ).
fof(f794,plain,
( ! [X0,X1] :
( segmentP(app(X1,X0),sk3)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ memberP(X1,sk5) )
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f792,f52]) ).
fof(f829,plain,
( ! [X0] :
( segmentP(X0,sk3)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ memberP(X0,sk5)
| ~ ssList(X0) )
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10 ),
inference(superposition,[],[f794,f73]) ).
fof(f838,plain,
( ! [X0] :
( segmentP(X0,sk3)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ memberP(X0,sk5) )
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10 ),
inference(duplicate_literal_removal,[],[f829]) ).
fof(f843,plain,
( ! [X0] :
( ~ memberP(X0,sk5)
| ~ ssList(X0)
| segmentP(X0,sk3) )
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f838,f303]) ).
fof(f852,plain,
( ~ ssList(sk4)
| segmentP(sk4,sk3)
| ~ spl1_5
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10 ),
inference(resolution,[],[f843,f276]) ).
fof(f853,plain,
( segmentP(sk4,sk3)
| ~ spl1_5
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f852,f203]) ).
fof(f854,plain,
( $false
| spl1_1
| ~ spl1_5
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f853,f259]) ).
fof(f855,plain,
( spl1_1
| ~ spl1_5
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10 ),
inference(avatar_contradiction_clause,[],[f854]) ).
fof(f857,plain,
( ~ ssList(sk3)
| ~ ssList(nil)
| nil = sk3
| spl1_2 ),
inference(resolution,[],[f263,f102]) ).
fof(f858,plain,
( ~ ssList(nil)
| nil = sk3
| spl1_2 ),
inference(forward_subsumption_resolution,[],[f857,f202]) ).
fof(f860,plain,
( nil = sk3
| spl1_2
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f858,f303]) ).
fof(f870,plain,
( $false
| spl1_2
| spl1_3
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f860,f267]) ).
fof(f871,plain,
( spl1_2
| spl1_3
| ~ spl1_10 ),
inference(avatar_contradiction_clause,[],[f870]) ).
fof(f943,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl1_3
| ~ spl1_6 ),
inference(forward_subsumption_resolution,[],[f638,f268]) ).
fof(f956,plain,
( ~ ssList(nil)
| ~ spl1_3
| ~ spl1_6
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f943,f293]) ).
fof(f957,plain,
( ~ ssList(sk3)
| ~ spl1_3
| ~ spl1_6
| ~ spl1_8 ),
inference(forward_demodulation,[],[f956,f268]) ).
fof(f958,plain,
( $false
| ~ spl1_3
| ~ spl1_6
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f957,f202]) ).
fof(f959,plain,
( ~ spl1_3
| ~ spl1_6
| ~ spl1_8 ),
inference(avatar_contradiction_clause,[],[f958]) ).
cnf(s1,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f264]) ).
cnf(s3,plain,
( spl1_3
| spl1_5 ),
inference(sat_conversion,[],[f277]) ).
cnf(s4,plain,
( spl1_3
| spl1_6 ),
inference(sat_conversion,[],[f282]) ).
cnf(s7,plain,
( spl1_6
| spl1_7 ),
inference(sat_conversion,[],[f289]) ).
cnf(s8,plain,
( spl1_3
| spl1_8 ),
inference(sat_conversion,[],[f294]) ).
cnf(s9,plain,
( spl1_7
| spl1_8 ),
inference(sat_conversion,[],[f295]) ).
cnf(s10,plain,
( ~ spl1_3
| ~ spl1_7 ),
inference(sat_conversion,[],[f296]) ).
cnf(s20,plain,
spl1_10,
inference(sat_conversion,[],[f338]) ).
cnf(s24,plain,
( spl1_1
| ~ spl1_5
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10 ),
inference(sat_conversion,[],[f855]) ).
cnf(s26,plain,
( spl1_2
| spl1_3
| ~ spl1_10 ),
inference(sat_conversion,[],[f871]) ).
cnf(s28,plain,
( ~ spl1_3
| ~ spl1_6
| ~ spl1_8 ),
inference(sat_conversion,[],[f959]) ).
cnf(s33,plain,
~ spl1_3,
inference(rat,[],[s28,s7,s9,s10]) ).
cnf(s34,plain,
spl1_2,
inference(rat,[],[s26,s20,s33]) ).
cnf(s35,plain,
spl1_8,
inference(rat,[],[s8,s33]) ).
cnf(s36,plain,
spl1_6,
inference(rat,[],[s4,s33]) ).
cnf(s37,plain,
spl1_5,
inference(rat,[],[s3,s33]) ).
cnf(s39,plain,
spl1_1,
inference(rat,[],[s24,s20,s35,s37,s36]) ).
cnf(s40,plain,
$false,
inference(rat,[],[s1,s34,s39]) ).
fof(f960,plain,
$false,
inference(avatar_sat_refutation,[],[s40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC114-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n017.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 28 07:50:51 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 4.28/1.53 % (3384178)Input is clausal, will run a generic CNF schedule.
% 4.28/1.53 % (3384185)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1757500496:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.28/1.53 % (3384188)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2514290838:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.28/1.53 % (3384186)lrs+10_1_sil=8000:sp=occurrence:random_seed=3560489789:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.28/1.53 % (3384183)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=134950084:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.28/1.53 % (3384184)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=226340547:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.28/1.53 % (3384187)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=454203311:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.28/1.53 % (3384189)dis-21_1_sil=8000:lcm=predicate:random_seed=3106983092: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)
% 4.28/1.53 % (3384186)Instruction limit reached!
% 4.28/1.53 % (3384186)------------------------------
% 4.28/1.53 % (3384186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.28/1.53 % (3384186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/1.53 % (3384186)CaDiCaL version: 2.1.3
% 4.28/1.53 % (3384186)Termination reason: Instruction limit
% 4.28/1.53 % (3384186)Termination phase: Saturation
% 4.28/1.53 % (3384186)Time elapsed: 0.066 s
% 4.28/1.53 % (3384186)Peak memory usage: 89 MB
% 4.28/1.53 % (3384186)Instructions burned: 109 (million)
% 4.28/1.53 % (3384189)Instruction limit reached!
% 4.28/1.53 % (3384189)------------------------------
% 4.28/1.53 % (3384189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.28/1.53 % (3384189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/1.53 % (3384189)CaDiCaL version: 2.1.3
% 4.28/1.53 % (3384189)Termination reason: Instruction limit
% 4.28/1.53 % (3384189)Termination phase: Saturation
% 4.28/1.53 % (3384189)Time elapsed: 0.067 s
% 4.28/1.53 % (3384189)Peak memory usage: 90 MB
% 4.28/1.53 % (3384189)Instructions burned: 118 (million)
% 4.28/1.53 % (3384187)Instruction limit reached!
% 4.28/1.53 % (3384187)------------------------------
% 4.28/1.53 % (3384187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.28/1.53 % (3384187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/1.53 % (3384187)CaDiCaL version: 2.1.3
% 4.28/1.53 % (3384187)Termination reason: Instruction limit
% 4.28/1.53 % (3384187)Termination phase: Saturation
% 4.28/1.53 % (3384187)Time elapsed: 0.070 s
% 4.28/1.53 % (3384187)Peak memory usage: 89 MB
% 4.28/1.53 % (3384187)Instructions burned: 114 (million)
% 4.28/1.53 % (3384188)Instruction limit reached!
% 4.28/1.53 % (3384188)------------------------------
% 4.28/1.53 % (3384188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.28/1.53 % (3384188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/1.53 % (3384188)CaDiCaL version: 2.1.3
% 4.28/1.53 % (3384188)Termination reason: Instruction limit
% 4.28/1.53 % (3384188)Termination phase: Saturation
% 4.28/1.53 % (3384188)Time elapsed: 0.129 s
% 4.28/1.53 % (3384188)Peak memory usage: 90 MB
% 4.28/1.53 % (3384188)Instructions burned: 180 (million)
% 4.28/1.53 % (3384199)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4065492303:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.28/1.53 % (3384197)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=1803318943:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.28/1.53 % (3384198)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3089763572: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)
% 4.28/1.53 % (3384200)lrs+10_64_to=lpo:sil=8000:random_seed=3304511384:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 4.28/1.53 % (3384197)Instruction limit reached!
% 4.28/1.53 % (3384197)------------------------------
% 4.28/1.53 % (3384197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.28/1.53 % (3384197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/1.53 % (3384197)CaDiCaL version: 2.1.3
% 4.28/1.53 % (3384197)Termination reason: Instruction limit
% 4.28/1.53 % (3384197)Termination phase: Saturation
% 4.28/1.53 % (3384197)Time elapsed: 0.095 s
% 4.28/1.53 % (3384197)Peak memory usage: 89 MB
% 4.28/1.53 % (3384197)Instructions burned: 144 (million)
% 4.28/1.53 % (3384198)Instruction limit reached!
% 4.28/1.53 % (3384198)------------------------------
% 4.28/1.53 % (3384198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.28/1.53 % (3384198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/1.53 % (3384198)CaDiCaL version: 2.1.3
% 4.28/1.53 % (3384198)Termination reason: Instruction limit
% 4.28/1.53 % (3384198)Termination phase: Saturation
% 4.28/1.53 % (3384198)Time elapsed: 0.097 s
% 4.28/1.53 % (3384198)Peak memory usage: 91 MB
% 4.28/1.53 % (3384198)Instructions burned: 190 (million)
% 4.28/1.53 % (3384199)Instruction limit reached!
% 4.28/1.53 % (3384199)------------------------------
% 4.28/1.53 % (3384199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.28/1.53 % (3384199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/1.53 % (3384199)CaDiCaL version: 2.1.3
% 4.28/1.53 % (3384199)Termination reason: Instruction limit
% 4.28/1.53 % (3384199)Termination phase: Saturation
% 4.28/1.53 % (3384199)Time elapsed: 0.130 s
% 4.28/1.53 % (3384199)Peak memory usage: 90 MB
% 4.28/1.53 % (3384199)Instructions burned: 220 (million)
% 4.28/1.53 % (3384200)Instruction limit reached!
% 4.28/1.53 % (3384200)------------------------------
% 4.28/1.53 % (3384200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.28/1.53 % (3384200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/1.53 % (3384200)CaDiCaL version: 2.1.3
% 4.28/1.53 % (3384200)Termination reason: Instruction limit
% 4.28/1.53 % (3384200)Termination phase: Saturation
% 4.28/1.53 % (3384200)Time elapsed: 0.068 s
% 4.28/1.53 % (3384200)Peak memory usage: 90 MB
% 4.28/1.53 % (3384200)Instructions burned: 127 (million)
% 4.28/1.53 % (3384185)First to succeed.
% 4.28/1.53 % (3384185)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3384178"
% 4.28/1.53 % (3384205)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=796342187:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 4.28/1.53 % (3384206)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3222817730:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 4.28/1.53 % (3384208)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=3235265736:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 4.28/1.53 % (3384207)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3239852630:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 4.28/1.53 % (3384206)Instruction limit reached!
% 4.28/1.53 % (3384206)------------------------------
% 4.28/1.53 % (3384206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.28/1.53 % (3384206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/1.53 % (3384206)CaDiCaL version: 2.1.3
% 4.28/1.53 % (3384206)Termination reason: Instruction limit
% 4.28/1.53 % (3384206)Termination phase: Saturation
% 4.28/1.53 % (3384206)Time elapsed: 0.088 s
% 4.28/1.53 % (3384206)Peak memory usage: 91 MB
% 4.28/1.53 % (3384206)Instructions burned: 157 (million)
% 4.28/1.53 % (3384208)Instruction limit reached!
% 4.28/1.53 % (3384208)------------------------------
% 4.28/1.53 % (3384208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.28/1.53 % (3384208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/1.53 % (3384208)CaDiCaL version: 2.1.3
% 4.28/1.53 % (3384208)Termination reason: Instruction limit
% 4.28/1.53 % (3384208)Termination phase: Saturation
% 4.28/1.53 % (3384208)Time elapsed: 0.058 s
% 4.28/1.53 % (3384208)Peak memory usage: 90 MB
% 4.28/1.53 % (3384208)Instructions burned: 108 (million)
% 4.28/1.53 % (3384185)Refutation found. Thanks to Tanya!
% 4.28/1.53 % SZS status Unsatisfiable for theBenchmark
% 4.28/1.53 % SZS output start Proof for theBenchmark
% See solution above
% 5.47/1.73 % (3384185)------------------------------
% 5.47/1.73 % (3384185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.47/1.73 % (3384185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.73 % (3384185)CaDiCaL version: 2.1.3
% 5.47/1.73 % (3384185)Termination reason: Refutation
% 5.47/1.73 % (3384185)Time elapsed: 0.419 s
% 5.47/1.73 % (3384185)Peak memory usage: 131 MB
% 5.47/1.73 % (3384185)Instructions burned: 1068 (million)
% 5.47/1.73 % (3384185)------------------------------
% 5.47/1.73 % (3384185)------------------------------
% 5.47/1.73 % (3384178)Success in time 0.69 s
% 5.47/1.73 % Vampire exiting
%------------------------------------------------------------------------------