%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC115-1 : 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 : n013.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 6.24s 1.99s
% Output : Refutation 8.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 35
% Syntax : Number of formulae : 126 ( 23 unt; 11 def)
% Number of atoms : 351 ( 55 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 428 ( 203 ~; 215 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 11 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 57 ( 0 sgn 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
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(f98,axiom,
! [X0,X1] :
( cons(X0,X1) != nil
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f126,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(reorient_equations,[],[f125]) ).
fof(f182,axiom,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',clause173) ).
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,
( nil != sk2
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( ssItem(sk5)
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ssItem(sk5)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk4 ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f217,negated_conjecture,
( ~ neq(sk1,nil)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox2/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(f341,plain,
( nil != sF0
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[],[f99,f247]) ).
fof(f342,plain,
( nil != sF0
| ~ ssList(nil)
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f341,f293]) ).
fof(f343,plain,
( nil != sF0
| ~ spl1_8
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f342,f303]) ).
fof(f344,plain,
( nil != sk3
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10 ),
inference(forward_demodulation,[],[f343,f281]) ).
fof(f355,plain,
sk3 = app(nil,sk3),
inference(resolution,[],[f74,f202]) ).
fof(f358,plain,
! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(app(sk3,X0))
| ~ ssList(X0) ),
inference(superposition,[],[f236,f355]) ).
fof(f359,plain,
! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f358,f85]) ).
fof(f360,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(sk3)
| ~ ssList(X0) )
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f359,f303]) ).
fof(f361,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(X0) )
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f360,f202]) ).
fof(f369,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f73,f203]) ).
fof(f395,plain,
( ~ ssItem(sk5)
| ~ ssList(sk4)
| sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_5 ),
inference(resolution,[],[f182,f276]) ).
fof(f396,plain,
( ~ ssList(sk4)
| sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_5
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f395,f293]) ).
fof(f397,plain,
( sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_5
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f396,f203]) ).
fof(f398,plain,
( ! [X0,X1] :
( segmentP(app(sk4,X0),X1)
| ~ ssList(X0)
| ~ ssList(skaf42(sk4,sk5))
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1) )
| ~ spl1_5
| ~ spl1_8 ),
inference(superposition,[],[f186,f397]) ).
fof(f401,plain,
( ! [X0,X1] :
( segmentP(app(sk4,X0),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1) )
| ~ spl1_5
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f398,f53]) ).
fof(f403,definition,
( spl1_18
<=> ssList(cons(sk5,skaf43(sk5,sk4))) ),
introduced(definition,[new_symbols(definition,[spl1_18])],[avatar_definition]) ).
fof(f405,plain,
( ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| spl1_18 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f411,definition,
( spl1_20
<=> ! [X0,X1] :
( segmentP(app(sk4,X0),X1)
| ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl1_20])],[avatar_definition]) ).
fof(f412,plain,
( ! [X0,X1] :
( ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1)
| segmentP(app(sk4,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl1_20 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f413,plain,
( ~ spl1_18
| spl1_20
| ~ spl1_5
| ~ spl1_8 ),
inference(avatar_split_clause,[],[f401,f291,f274,f411,f403]) ).
fof(f414,plain,
( ~ ssList(skaf43(sk5,sk4))
| ~ ssItem(sk5)
| spl1_18 ),
inference(resolution,[],[f405,f86]) ).
fof(f415,plain,
( ~ ssItem(sk5)
| spl1_18 ),
inference(forward_subsumption_resolution,[],[f414,f52]) ).
fof(f416,plain,
( $false
| ~ spl1_8
| spl1_18 ),
inference(forward_subsumption_resolution,[],[f415,f293]) ).
fof(f417,plain,
( ~ spl1_8
| spl1_18 ),
inference(avatar_contradiction_clause,[],[f416]) ).
fof(f430,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk5,X0) = app(cons(sk5,nil),X0) )
| ~ spl1_8 ),
inference(resolution,[],[f126,f293]) ).
fof(f431,plain,
( ! [X0] :
( cons(sk5,X0) = app(sF0,X0)
| ~ ssList(X0) )
| ~ spl1_8 ),
inference(forward_demodulation,[],[f430,f247]) ).
fof(f432,plain,
( ! [X0] :
( ~ ssList(X0)
| app(sk3,X0) = cons(sk5,X0) )
| ~ spl1_6
| ~ spl1_8 ),
inference(forward_demodulation,[],[f431,f281]) ).
fof(f446,plain,
( ! [X0,X1] : app(sk3,skaf43(X0,X1)) = cons(sk5,skaf43(X0,X1))
| ~ spl1_6
| ~ spl1_8 ),
inference(resolution,[],[f52,f432]) ).
fof(f450,plain,
( ! [X0,X1] :
( ~ segmentP(app(sk3,skaf43(sk5,sk4)),X0)
| segmentP(app(sk4,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl1_6
| ~ spl1_8
| ~ spl1_20 ),
inference(superposition,[],[f412,f446]) ).
fof(f458,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(skaf43(sk5,sk4)) )
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10
| ~ spl1_20 ),
inference(resolution,[],[f450,f361]) ).
fof(f462,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(X0)
| ~ ssList(skaf43(sk5,sk4)) )
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10
| ~ spl1_20 ),
inference(forward_subsumption_resolution,[],[f458,f202]) ).
fof(f463,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(X0) )
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10
| ~ spl1_20 ),
inference(forward_subsumption_resolution,[],[f462,f52]) ).
fof(f464,plain,
( segmentP(sk4,sk3)
| ~ ssList(nil)
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10
| ~ spl1_20 ),
inference(superposition,[],[f463,f369]) ).
fof(f465,plain,
( ~ ssList(nil)
| spl1_1
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10
| ~ spl1_20 ),
inference(forward_subsumption_resolution,[],[f464,f259]) ).
fof(f466,plain,
( $false
| spl1_1
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10
| ~ spl1_20 ),
inference(forward_subsumption_resolution,[],[f465,f303]) ).
fof(f467,plain,
( spl1_1
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10
| ~ spl1_20 ),
inference(avatar_contradiction_clause,[],[f466]) ).
fof(f469,plain,
( ~ ssList(sk3)
| ~ ssList(nil)
| nil = sk3
| spl1_2 ),
inference(resolution,[],[f263,f102]) ).
fof(f470,plain,
( ~ ssList(nil)
| nil = sk3
| spl1_2 ),
inference(forward_subsumption_resolution,[],[f469,f202]) ).
fof(f472,plain,
( nil = sk3
| spl1_2
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f470,f303]) ).
fof(f474,plain,
( $false
| spl1_2
| spl1_3
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f472,f267]) ).
fof(f475,plain,
( spl1_2
| spl1_3
| ~ spl1_10 ),
inference(avatar_contradiction_clause,[],[f474]) ).
fof(f478,plain,
( $false
| ~ spl1_3
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f344,f268]) ).
fof(f479,plain,
( ~ spl1_3
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10 ),
inference(avatar_contradiction_clause,[],[f478]) ).
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(s23,plain,
( ~ spl1_5
| ~ spl1_8
| ~ spl1_18
| spl1_20 ),
inference(sat_conversion,[],[f413]) ).
cnf(s24,plain,
( ~ spl1_8
| spl1_18 ),
inference(sat_conversion,[],[f417]) ).
cnf(s25,plain,
( spl1_1
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10
| ~ spl1_20 ),
inference(sat_conversion,[],[f467]) ).
cnf(s26,plain,
( spl1_2
| spl1_3
| ~ spl1_10 ),
inference(sat_conversion,[],[f475]) ).
cnf(s28,plain,
( ~ spl1_3
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10 ),
inference(sat_conversion,[],[f479]) ).
cnf(s33,plain,
~ spl1_3,
inference(rat,[],[s28,s7,s9,s10,s20]) ).
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_18,
inference(rat,[],[s24,s35]) ).
cnf(s40,plain,
spl1_20,
inference(rat,[],[s23,s35,s39,s37]) ).
cnf(s41,plain,
~ spl1_1,
inference(rat,[],[s1,s34]) ).
cnf(s42,plain,
$false,
inference(rat,[],[s25,s35,s20,s41,s40,s36]) ).
fof(f480,plain,
$false,
inference(avatar_sat_refutation,[],[s42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC115-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.42 % Computer : n013.cluster.edu
% 0.09/0.42 % Model : x86_64 x86_64
% 0.09/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.42 % Memory : 8046.5625MB
% 0.09/0.42 % OS : Linux 6.8.0-71-generic
% 0.09/0.42 % CPULimit : 300
% 0.09/0.42 % WCLimit : 300
% 0.09/0.42 % DateTime : Mon Sep 28 07:57:37 UTC 2026
% 0.09/0.42 % CPUTime :
% 0.09/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.46 Running first-order theorem proving
% 0.15/0.46 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
% 6.24/1.98 % (1011708)Input is clausal, will run a generic CNF schedule.
% 6.24/1.98 % (1011717)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=426408910:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.24/1.98 % (1011717)Instruction limit reached!
% 6.24/1.98 % (1011717)------------------------------
% 6.24/1.98 % (1011717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.98 % (1011717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.98 % (1011717)CaDiCaL version: 2.1.3
% 6.24/1.98 % (1011717)Termination reason: Instruction limit
% 6.24/1.98 % (1011717)Termination phase: Saturation
% 6.24/1.98 % (1011717)Time elapsed: 0.039 s
% 6.24/1.98 % (1011717)Peak memory usage: 89 MB
% 6.24/1.98 % (1011717)Instructions burned: 117 (million)
% 6.24/1.98 % (1011714)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3731923417:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.24/1.98 % (1011716)lrs+10_1_sil=8000:sp=occurrence:random_seed=2499148036:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.24/1.98 % (1011719)dis-21_1_sil=8000:lcm=predicate:random_seed=3888213413: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)
% 6.24/1.98 % (1011713)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=1640955572:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.24/1.98 % (1011715)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2380217063:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.24/1.98 % (1011718)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3049099839:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.24/1.98 % (1011716)Instruction limit reached!
% 6.24/1.98 % (1011716)------------------------------
% 6.24/1.98 % (1011716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.98 % (1011716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.98 % (1011716)CaDiCaL version: 2.1.3
% 6.24/1.98 % (1011716)Termination reason: Instruction limit
% 6.24/1.98 % (1011716)Termination phase: Saturation
% 6.24/1.98 % (1011716)Time elapsed: 0.065 s
% 6.24/1.98 % (1011716)Peak memory usage: 89 MB
% 6.24/1.98 % (1011716)Instructions burned: 108 (million)
% 6.24/1.98 % (1011719)Instruction limit reached!
% 6.24/1.98 % (1011719)------------------------------
% 6.24/1.98 % (1011719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.98 % (1011719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.98 % (1011719)CaDiCaL version: 2.1.3
% 6.24/1.98 % (1011719)Termination reason: Instruction limit
% 6.24/1.98 % (1011719)Termination phase: Saturation
% 6.24/1.98 % (1011719)Time elapsed: 0.066 s
% 6.24/1.98 % (1011719)Peak memory usage: 90 MB
% 6.24/1.98 % (1011719)Instructions burned: 118 (million)
% 6.24/1.98 % (1011718)Instruction limit reached!
% 6.24/1.98 % (1011718)------------------------------
% 6.24/1.98 % (1011718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.98 % (1011718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.99 % (1011718)CaDiCaL version: 2.1.3
% 6.24/1.99 % (1011718)Termination reason: Instruction limit
% 6.24/1.99 % (1011718)Termination phase: Saturation
% 6.24/1.99 % (1011718)Time elapsed: 0.121 s
% 6.24/1.99 % (1011718)Peak memory usage: 90 MB
% 6.24/1.99 % (1011718)Instructions burned: 180 (million)
% 6.24/1.99 % (1011727)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=3606590220:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.24/1.99 % (1011727)Instruction limit reached!
% 6.24/1.99 % (1011727)------------------------------
% 6.24/1.99 % (1011727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.99 % (1011727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.99 % (1011727)CaDiCaL version: 2.1.3
% 6.24/1.99 % (1011727)Termination reason: Instruction limit
% 6.24/1.99 % (1011727)Termination phase: Saturation
% 6.24/1.99 % (1011727)Time elapsed: 0.052 s
% 6.24/1.99 % (1011727)Peak memory usage: 89 MB
% 6.24/1.99 % (1011727)Instructions burned: 144 (million)
% 6.24/1.99 % (1011728)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3361617734: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)
% 6.24/1.99 % (1011729)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1778453621:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.24/1.99 % (1011730)lrs+10_64_to=lpo:sil=8000:random_seed=2664340785:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.24/1.99 % (1011732)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4023126715:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 6.24/1.99 % (1011728)Instruction limit reached!
% 6.24/1.99 % (1011728)------------------------------
% 6.24/1.99 % (1011728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.99 % (1011728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.99 % (1011728)CaDiCaL version: 2.1.3
% 6.24/1.99 % (1011728)Termination reason: Instruction limit
% 6.24/1.99 % (1011728)Termination phase: Saturation
% 6.24/1.99 % (1011728)Time elapsed: 0.099 s
% 6.24/1.99 % (1011728)Peak memory usage: 91 MB
% 6.24/1.99 % (1011728)Instructions burned: 191 (million)
% 6.24/1.99 % (1011730)Instruction limit reached!
% 6.24/1.99 % (1011730)------------------------------
% 6.24/1.99 % (1011730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.99 % (1011730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.99 % (1011730)CaDiCaL version: 2.1.3
% 6.24/1.99 % (1011730)Termination reason: Instruction limit
% 6.24/1.99 % (1011730)Termination phase: Saturation
% 6.24/1.99 % (1011730)Time elapsed: 0.067 s
% 6.24/1.99 % (1011730)Peak memory usage: 90 MB
% 6.24/1.99 % (1011730)Instructions burned: 128 (million)
% 6.24/1.99 % (1011729)Instruction limit reached!
% 6.24/1.99 % (1011729)------------------------------
% 6.24/1.99 % (1011729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.99 % (1011729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.99 % (1011729)CaDiCaL version: 2.1.3
% 6.24/1.99 % (1011729)Termination reason: Instruction limit
% 6.24/1.99 % (1011729)Termination phase: Saturation
% 6.24/1.99 % (1011729)Time elapsed: 0.131 s
% 6.24/1.99 % (1011729)Peak memory usage: 90 MB
% 6.24/1.99 % (1011729)Instructions burned: 219 (million)
% 6.24/1.99 % (1011732)Instruction limit reached!
% 6.24/1.99 % (1011732)------------------------------
% 6.24/1.99 % (1011732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.99 % (1011732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.99 % (1011732)CaDiCaL version: 2.1.3
% 6.24/1.99 % (1011732)Termination reason: Instruction limit
% 6.24/1.99 % (1011732)Termination phase: Saturation
% 6.24/1.99 % (1011732)Time elapsed: 0.067 s
% 6.24/1.99 % (1011732)Peak memory usage: 91 MB
% 6.24/1.99 % (1011732)Instructions burned: 195 (million)
% 6.24/1.99 % (1011737)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3951086683:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.24/1.99 % (1011740)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3808521432:i=107_2995 on theBenchmark for (2995ds/107Mi)
% 6.24/1.99 % (1011740)Instruction limit reached!
% 6.24/1.99 % (1011740)------------------------------
% 6.24/1.99 % (1011740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.99 % (1011740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.99 % (1011740)CaDiCaL version: 2.1.3
% 6.24/1.99 % (1011740)Termination reason: Instruction limit
% 6.24/1.99 % (1011740)Termination phase: Saturation
% 6.24/1.99 % (1011740)Time elapsed: 0.037 s
% 6.24/1.99 % (1011740)Peak memory usage: 90 MB
% 6.24/1.99 % (1011740)Instructions burned: 109 (million)
% 6.24/1.99 % (1011738)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2975451876:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 6.24/1.99 % (1011739)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=142563458:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 6.24/1.99 % (1011737)Instruction limit reached!
% 6.24/1.99 % (1011737)------------------------------
% 6.24/1.99 % (1011737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.99 % (1011737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.99 % (1011737)CaDiCaL version: 2.1.3
% 6.24/1.99 % (1011737)Termination reason: Instruction limit
% 6.24/1.99 % (1011737)Termination phase: Saturation
% 6.24/1.99 % (1011737)Time elapsed: 0.087 s
% 6.24/1.99 % (1011737)Peak memory usage: 91 MB
% 6.24/1.99 % (1011737)Instructions burned: 157 (million)
% 6.24/1.99 % (1011739)Instruction limit reached!
% 6.24/1.99 % (1011739)------------------------------
% 6.24/1.99 % (1011739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.99 % (1011739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.99 % (1011739)CaDiCaL version: 2.1.3
% 6.24/1.99 % (1011739)Termination reason: Instruction limit
% 6.24/1.99 % (1011739)Termination phase: Saturation
% 6.24/1.99 % (1011739)Time elapsed: 0.061 s
% 6.24/1.99 % (1011739)Peak memory usage: 90 MB
% 6.24/1.99 % (1011739)Instructions burned: 107 (million)
% 6.24/1.99 % (1011743)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=897501433:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 6.24/1.99 % (1011746)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1181670195:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 6.24/1.99 % (1011743)Instruction limit reached!
% 6.24/1.99 % (1011743)------------------------------
% 6.24/1.99 % (1011743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.99 % (1011743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.99 % (1011743)CaDiCaL version: 2.1.3
% 6.24/1.99 % (1011743)Termination reason: Instruction limit
% 6.24/1.99 % (1011743)Termination phase: Saturation
% 6.24/1.99 % (1011743)Time elapsed: 0.085 s
% 6.24/1.99 % (1011743)Peak memory usage: 90 MB
% 6.24/1.99 % (1011743)Instructions burned: 244 (million)
% 6.24/1.99 % (1011747)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3709204230:i=134:sd=2:doe=on:ss=axioms:sgt=14_2993 on theBenchmark for (2993ds/134Mi)
% 6.24/1.99 % (1011713)First to succeed.
% 6.24/1.99 % (1011713)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1011708"
% 6.24/1.99 % (1011715)Also succeeded, but the first one will report.
% 6.24/1.99 % (1011747)Instruction limit reached!
% 6.24/1.99 % (1011747)------------------------------
% 6.24/1.99 % (1011747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.99 % (1011747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.99 % (1011747)CaDiCaL version: 2.1.3
% 6.24/1.99 % (1011747)Termination reason: Instruction limit
% 6.24/1.99 % (1011747)Termination phase: Saturation
% 6.24/1.99 % (1011747)Time elapsed: 0.053 s
% 6.24/1.99 % (1011747)Peak memory usage: 88 MB
% 6.24/1.99 % (1011747)Instructions burned: 135 (million)
% 6.24/1.99 % (1011750)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=24075456:i=499:bd=all_2992 on theBenchmark for (2992ds/499Mi)
% 6.24/1.99 % (1011752)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2598335865:i=191:fgj=on:bd=all_2991 on theBenchmark for (2991ds/191Mi)
% 6.24/1.99 % (1011750)Instruction limit reached!
% 6.24/1.99 % (1011750)------------------------------
% 6.24/1.99 % (1011750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.99 % (1011750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.99 % (1011750)CaDiCaL version: 2.1.3
% 6.24/1.99 % (1011750)Termination reason: Instruction limit
% 6.24/1.99 % (1011750)Termination phase: Saturation
% 6.24/1.99 % (1011750)Time elapsed: 0.142 s
% 6.24/1.99 % (1011750)Peak memory usage: 97 MB
% 6.24/1.99 % (1011750)Instructions burned: 501 (million)
% 6.24/1.99 % (1011713)Refutation found. Thanks to Tanya!
% 6.24/1.99 % SZS status Unsatisfiable for theBenchmark
% 6.24/1.99 % SZS output start Proof for theBenchmark
% See solution above
% 8.08/2.08 % (1011713)------------------------------
% 8.08/2.08 % (1011713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/2.08 % (1011713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/2.08 % (1011713)CaDiCaL version: 2.1.3
% 8.08/2.08 % (1011713)Termination reason: Refutation
% 8.08/2.08 % (1011713)Time elapsed: 0.664 s
% 8.08/2.08 % (1011713)Peak memory usage: 131 MB
% 8.08/2.08 % (1011713)Instructions burned: 996 (million)
% 8.08/2.08 % (1011713)------------------------------
% 8.08/2.08 % (1011713)------------------------------
% 8.08/2.08 % (1011708)Success in time 1.088 s
% 8.08/2.08 % Vampire exiting
%------------------------------------------------------------------------------