%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC119-1 : 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 : n014.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 01:02:32 PM UTC 2026
% Result : Unsatisfiable 6.81s 1.90s
% Output : Refutation 8.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 33
% Syntax : Number of formulae : 122 ( 23 unt; 10 def)
% Number of atoms : 354 ( 48 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 458 ( 226 ~; 223 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 10 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 63 ( 0 sgn 63 !; 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] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = 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] :
( ~ 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/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 = sk3
| nil != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( nil != sk2
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( cons(sk5,nil) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,plain,
( sk3 = cons(sk5,nil)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f209]) ).
fof(f211,negated_conjecture,
( memberP(sk4,sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f212,negated_conjecture,
( ~ neq(sk1,nil)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f215,plain,
( nil != sk4
| nil != sk3 ),
inference(definition_unfolding,[],[f207,f204,f205]) ).
fof(f216,plain,
( ~ neq(sk3,nil)
| ~ segmentP(sk4,sk3) ),
inference(definition_unfolding,[],[f212,f205,f204,f205]) ).
fof(f231,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(f241,definition,
sF0 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f242,plain,
cons(sk5,nil) = sF0,
inference(reorient_equations,[],[f241]) ).
fof(f243,plain,
( sk3 = sF0
| ~ neq(sk4,nil) ),
inference(definition_folding,[],[f210,f242]) ).
fof(f251,definition,
( spl1_1
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f253,plain,
( ~ segmentP(sk4,sk3)
| spl1_1 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f255,definition,
( spl1_2
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f257,plain,
( ~ neq(sk3,nil)
| spl1_2 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f258,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f216,f255,f251]) ).
fof(f260,definition,
( spl1_3
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f262,plain,
( ~ neq(sk4,nil)
| spl1_3 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f264,definition,
( spl1_4
<=> memberP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f266,plain,
( memberP(sk4,sk5)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f267,plain,
( ~ spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f211,f264,f260]) ).
fof(f269,definition,
( spl1_5
<=> sk3 = sF0 ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f271,plain,
( sk3 = sF0
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f272,plain,
( ~ spl1_3
| spl1_5 ),
inference(avatar_split_clause,[],[f243,f269,f260]) ).
fof(f274,definition,
( spl1_6
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
fof(f276,plain,
( ssItem(sk5)
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f277,plain,
( ~ spl1_3
| spl1_6 ),
inference(avatar_split_clause,[],[f208,f274,f260]) ).
fof(f279,definition,
( spl1_7
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
fof(f280,plain,
( nil = sk3
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f283,definition,
( spl1_8
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
fof(f285,plain,
( nil != sk4
| spl1_8 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f286,plain,
( ~ spl1_7
| ~ spl1_8 ),
inference(avatar_split_clause,[],[f215,f283,f279]) ).
fof(f287,plain,
( ~ spl1_8
| spl1_7 ),
inference(avatar_split_clause,[],[f206,f279,f283]) ).
fof(f293,definition,
( spl1_10
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
fof(f294,plain,
( ssList(nil)
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f329,plain,
spl1_10,
inference(avatar_split_clause,[],[f8,f293]) ).
fof(f330,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl1_3 ),
inference(resolution,[],[f102,f262]) ).
fof(f331,plain,
( ~ ssList(nil)
| nil = sk4
| spl1_3 ),
inference(forward_subsumption_resolution,[],[f330,f203]) ).
fof(f332,plain,
( nil = sk4
| spl1_3
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f331,f294]) ).
fof(f333,plain,
( $false
| spl1_3
| spl1_8
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f332,f285]) ).
fof(f334,plain,
( spl1_3
| spl1_8
| ~ spl1_10 ),
inference(avatar_contradiction_clause,[],[f333]) ).
fof(f335,plain,
( ~ ssList(sk3)
| ~ ssList(nil)
| nil = sk3
| spl1_2 ),
inference(resolution,[],[f257,f102]) ).
fof(f336,plain,
( ~ ssList(nil)
| nil = sk3
| spl1_2 ),
inference(forward_subsumption_resolution,[],[f335,f202]) ).
fof(f337,plain,
( nil = sk3
| spl1_2
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f336,f294]) ).
fof(f338,plain,
( spl1_7
| spl1_2
| ~ spl1_10 ),
inference(avatar_split_clause,[],[f337,f293,f255,f279]) ).
fof(f343,plain,
( nil != sF0
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[],[f99,f242]) ).
fof(f350,plain,
sk3 = app(nil,sk3),
inference(resolution,[],[f74,f202]) ).
fof(f357,plain,
! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(app(sk3,X0))
| ~ ssList(X0) ),
inference(superposition,[],[f231,f350]) ).
fof(f358,plain,
! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f357,f85]) ).
fof(f359,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(sk3)
| ~ ssList(X0) )
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f358,f294]) ).
fof(f360,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(X0) )
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f359,f202]) ).
fof(f374,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f73,f203]) ).
fof(f396,plain,
( ~ ssItem(sk5)
| ~ ssList(sk4)
| sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_4 ),
inference(resolution,[],[f182,f266]) ).
fof(f425,plain,
( nil != sF0
| ~ ssList(nil)
| ~ spl1_6 ),
inference(forward_subsumption_resolution,[],[f343,f276]) ).
fof(f426,plain,
( ~ ssList(sk4)
| sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_4
| ~ spl1_6 ),
inference(forward_subsumption_resolution,[],[f396,f276]) ).
fof(f428,plain,
( nil != sF0
| ~ spl1_6
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f425,f294]) ).
fof(f429,plain,
( sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_4
| ~ spl1_6 ),
inference(forward_subsumption_resolution,[],[f426,f203]) ).
fof(f430,plain,
( nil != sk3
| ~ spl1_5
| ~ spl1_6
| ~ spl1_10 ),
inference(forward_demodulation,[],[f428,f271]) ).
fof(f431,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk5,X0) = app(cons(sk5,nil),X0) )
| ~ spl1_6 ),
inference(resolution,[],[f276,f126]) ).
fof(f432,plain,
( ! [X0] :
( cons(sk5,X0) = app(sF0,X0)
| ~ ssList(X0) )
| ~ spl1_6 ),
inference(forward_demodulation,[],[f431,f242]) ).
fof(f433,plain,
( ! [X0] :
( ~ ssList(X0)
| app(sk3,X0) = cons(sk5,X0) )
| ~ spl1_5
| ~ spl1_6 ),
inference(forward_demodulation,[],[f432,f271]) ).
fof(f435,plain,
( ! [X0,X1] : app(sk3,skaf43(X0,X1)) = cons(sk5,skaf43(X0,X1))
| ~ spl1_5
| ~ spl1_6 ),
inference(resolution,[],[f433,f52]) ).
fof(f444,plain,
( ! [X0,X1] :
( ssList(app(sk3,skaf43(X0,X1)))
| ~ ssList(skaf43(X0,X1))
| ~ ssItem(sk5) )
| ~ spl1_5
| ~ spl1_6 ),
inference(superposition,[],[f86,f435]) ).
fof(f445,plain,
( ! [X0,X1] :
( ssList(app(sk3,skaf43(X0,X1)))
| ~ ssList(skaf43(X0,X1)) )
| ~ spl1_5
| ~ spl1_6 ),
inference(forward_subsumption_resolution,[],[f444,f276]) ).
fof(f447,plain,
( ! [X0,X1] : ssList(app(sk3,skaf43(X0,X1)))
| ~ spl1_5
| ~ spl1_6 ),
inference(forward_subsumption_resolution,[],[f445,f52]) ).
fof(f451,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_4
| ~ spl1_6 ),
inference(superposition,[],[f186,f429]) ).
fof(f454,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_4
| ~ spl1_6 ),
inference(forward_subsumption_resolution,[],[f451,f53]) ).
fof(f456,plain,
( ! [X0,X1] :
( ~ ssList(app(sk3,skaf43(sk5,sk4)))
| segmentP(app(sk4,X0),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1) )
| ~ spl1_4
| ~ spl1_5
| ~ spl1_6 ),
inference(forward_demodulation,[],[f454,f435]) ).
fof(f458,plain,
( ! [X0,X1] :
( segmentP(app(sk4,X0),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1) )
| ~ spl1_4
| ~ spl1_5
| ~ spl1_6 ),
inference(forward_subsumption_resolution,[],[f456,f447]) ).
fof(f460,plain,
( ! [X0,X1] :
( ~ segmentP(app(sk3,skaf43(sk5,sk4)),X1)
| segmentP(app(sk4,X0),X1)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl1_4
| ~ spl1_5
| ~ spl1_6 ),
inference(forward_demodulation,[],[f458,f435]) ).
fof(f461,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(skaf43(sk5,sk4)) )
| ~ spl1_4
| ~ spl1_5
| ~ spl1_6
| ~ spl1_10 ),
inference(resolution,[],[f460,f360]) ).
fof(f465,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(X0)
| ~ ssList(skaf43(sk5,sk4)) )
| ~ spl1_4
| ~ spl1_5
| ~ spl1_6
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f461,f202]) ).
fof(f466,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(X0) )
| ~ spl1_4
| ~ spl1_5
| ~ spl1_6
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f465,f52]) ).
fof(f467,plain,
( segmentP(sk4,sk3)
| ~ ssList(nil)
| ~ spl1_4
| ~ spl1_5
| ~ spl1_6
| ~ spl1_10 ),
inference(superposition,[],[f466,f374]) ).
fof(f468,plain,
( ~ ssList(nil)
| spl1_1
| ~ spl1_4
| ~ spl1_5
| ~ spl1_6
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f467,f253]) ).
fof(f469,plain,
( $false
| spl1_1
| ~ spl1_4
| ~ spl1_5
| ~ spl1_6
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f468,f294]) ).
fof(f470,plain,
( spl1_1
| ~ spl1_4
| ~ spl1_5
| ~ spl1_6
| ~ spl1_10 ),
inference(avatar_contradiction_clause,[],[f469]) ).
fof(f471,plain,
( $false
| ~ spl1_5
| ~ spl1_6
| ~ spl1_7
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f430,f280]) ).
fof(f472,plain,
( ~ spl1_5
| ~ spl1_6
| ~ spl1_7
| ~ spl1_10 ),
inference(avatar_contradiction_clause,[],[f471]) ).
cnf(s1,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f258]) ).
cnf(s2,plain,
( ~ spl1_3
| spl1_4 ),
inference(sat_conversion,[],[f267]) ).
cnf(s3,plain,
( ~ spl1_3
| spl1_5 ),
inference(sat_conversion,[],[f272]) ).
cnf(s4,plain,
( ~ spl1_3
| spl1_6 ),
inference(sat_conversion,[],[f277]) ).
cnf(s5,plain,
( ~ spl1_7
| ~ spl1_8 ),
inference(sat_conversion,[],[f286]) ).
cnf(s6,plain,
( spl1_7
| ~ spl1_8 ),
inference(sat_conversion,[],[f287]) ).
cnf(s16,plain,
spl1_10,
inference(sat_conversion,[],[f329]) ).
cnf(s17,plain,
( spl1_3
| spl1_8
| ~ spl1_10 ),
inference(sat_conversion,[],[f334]) ).
cnf(s18,plain,
( spl1_2
| spl1_7
| ~ spl1_10 ),
inference(sat_conversion,[],[f338]) ).
cnf(s23,plain,
( spl1_1
| ~ spl1_4
| ~ spl1_5
| ~ spl1_6
| ~ spl1_10 ),
inference(sat_conversion,[],[f470]) ).
cnf(s25,plain,
( ~ spl1_5
| ~ spl1_6
| ~ spl1_7
| ~ spl1_10 ),
inference(sat_conversion,[],[f472]) ).
cnf(s30,plain,
~ spl1_7,
inference(rat,[],[s25,s3,s4,s17,s5,s16]) ).
cnf(s31,plain,
spl1_2,
inference(rat,[],[s18,s16,s30]) ).
cnf(s32,plain,
~ spl1_8,
inference(rat,[],[s6,s30]) ).
cnf(s33,plain,
spl1_3,
inference(rat,[],[s17,s16,s32]) ).
cnf(s34,plain,
spl1_6,
inference(rat,[],[s4,s33]) ).
cnf(s35,plain,
spl1_5,
inference(rat,[],[s3,s33]) ).
cnf(s36,plain,
spl1_4,
inference(rat,[],[s2,s33]) ).
cnf(s37,plain,
spl1_1,
inference(rat,[],[s23,s16,s34,s36,s35]) ).
cnf(s38,plain,
$false,
inference(rat,[],[s1,s31,s37]) ).
fof(f473,plain,
$false,
inference(avatar_sat_refutation,[],[s38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC119-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n014.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 28 07:59:16 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.39 Running first-order theorem proving
% 0.09/0.39 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
% 6.81/1.90 % (1618474)Input is clausal, will run a generic CNF schedule.
% 6.81/1.90 % (1618483)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2599859093:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.81/1.90 % (1618481)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=248353773:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.81/1.90 % (1618480)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2683965855:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.81/1.90 % (1618479)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=2120343891:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.81/1.90 % (1618482)lrs+10_1_sil=8000:sp=occurrence:random_seed=4125568082:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.81/1.90 % (1618483)Instruction limit reached!
% 6.81/1.90 % (1618483)------------------------------
% 6.81/1.90 % (1618483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.90 % (1618483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.90 % (1618483)CaDiCaL version: 2.1.3
% 6.81/1.90 % (1618483)Termination reason: Instruction limit
% 6.81/1.90 % (1618483)Termination phase: Saturation
% 6.81/1.90 % (1618483)Time elapsed: 0.037 s
% 6.81/1.90 % (1618483)Peak memory usage: 89 MB
% 6.81/1.90 % (1618483)Instructions burned: 117 (million)
% 6.81/1.90 % (1618484)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1053772444:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.81/1.90 % (1618485)dis-21_1_sil=8000:lcm=predicate:random_seed=2954703979: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)
% 6.81/1.90 % (1618485)Instruction limit reached!
% 6.81/1.90 % (1618485)------------------------------
% 6.81/1.90 % (1618485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.90 % (1618485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.90 % (1618485)CaDiCaL version: 2.1.3
% 6.81/1.90 % (1618485)Termination reason: Instruction limit
% 6.81/1.90 % (1618485)Termination phase: Saturation
% 6.81/1.90 % (1618485)Time elapsed: 0.051 s
% 6.81/1.90 % (1618485)Peak memory usage: 89 MB
% 6.81/1.90 % (1618485)Instructions burned: 118 (million)
% 6.81/1.90 % (1618482)Instruction limit reached!
% 6.81/1.90 % (1618482)------------------------------
% 6.81/1.90 % (1618482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.90 % (1618482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.90 % (1618482)CaDiCaL version: 2.1.3
% 6.81/1.90 % (1618482)Termination reason: Instruction limit
% 6.81/1.90 % (1618482)Termination phase: Saturation
% 6.81/1.90 % (1618482)Time elapsed: 0.066 s
% 6.81/1.90 % (1618482)Peak memory usage: 89 MB
% 6.81/1.90 % (1618482)Instructions burned: 108 (million)
% 6.81/1.90 % (1618491)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=2883480495:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.81/1.90 % (1618484)Instruction limit reached!
% 6.81/1.90 % (1618484)------------------------------
% 6.81/1.90 % (1618484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.90 % (1618484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.90 % (1618484)CaDiCaL version: 2.1.3
% 6.81/1.90 % (1618484)Termination reason: Instruction limit
% 6.81/1.90 % (1618484)Termination phase: Saturation
% 6.81/1.90 % (1618484)Time elapsed: 0.128 s
% 6.81/1.90 % (1618484)Peak memory usage: 90 MB
% 6.81/1.90 % (1618484)Instructions burned: 180 (million)
% 6.81/1.90 % (1618491)Instruction limit reached!
% 6.81/1.90 % (1618491)------------------------------
% 6.81/1.90 % (1618491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.90 % (1618491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.90 % (1618491)CaDiCaL version: 2.1.3
% 6.81/1.90 % (1618491)Termination reason: Instruction limit
% 6.81/1.90 % (1618491)Termination phase: Saturation
% 6.81/1.90 % (1618491)Time elapsed: 0.050 s
% 6.81/1.90 % (1618491)Peak memory usage: 89 MB
% 6.81/1.90 % (1618491)Instructions burned: 145 (million)
% 6.81/1.90 % (1618494)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2272422855: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)
% 6.81/1.90 % (1618495)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2713772476:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.81/1.90 % (1618498)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=154703537:avsq=on:i=194:fgj=on:bd=preordered_2997 on theBenchmark for (2997ds/194Mi)
% 6.81/1.90 % (1618497)lrs+10_64_to=lpo:sil=8000:random_seed=681589299:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.81/1.90 % (1618494)Instruction limit reached!
% 6.81/1.90 % (1618494)------------------------------
% 6.81/1.90 % (1618494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.90 % (1618494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.90 % (1618494)CaDiCaL version: 2.1.3
% 6.81/1.90 % (1618494)Termination reason: Instruction limit
% 6.81/1.90 % (1618494)Termination phase: Saturation
% 6.81/1.90 % (1618494)Time elapsed: 0.098 s
% 6.81/1.90 % (1618494)Peak memory usage: 91 MB
% 6.81/1.90 % (1618494)Instructions burned: 190 (million)
% 6.81/1.90 % (1618498)Instruction limit reached!
% 6.81/1.90 % (1618498)------------------------------
% 6.81/1.90 % (1618498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.90 % (1618498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.90 % (1618498)CaDiCaL version: 2.1.3
% 6.81/1.90 % (1618498)Termination reason: Instruction limit
% 6.81/1.90 % (1618498)Termination phase: Saturation
% 6.81/1.90 % (1618498)Time elapsed: 0.068 s
% 6.81/1.90 % (1618498)Peak memory usage: 91 MB
% 6.81/1.90 % (1618498)Instructions burned: 196 (million)
% 6.81/1.90 % (1618497)Instruction limit reached!
% 6.81/1.90 % (1618497)------------------------------
% 6.81/1.90 % (1618497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.90 % (1618497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.90 % (1618497)CaDiCaL version: 2.1.3
% 6.81/1.90 % (1618497)Termination reason: Instruction limit
% 6.81/1.90 % (1618497)Termination phase: Saturation
% 6.81/1.90 % (1618497)Time elapsed: 0.066 s
% 6.81/1.90 % (1618497)Peak memory usage: 90 MB
% 6.81/1.90 % (1618497)Instructions burned: 127 (million)
% 6.81/1.90 % (1618495)Instruction limit reached!
% 6.81/1.90 % (1618495)------------------------------
% 6.81/1.90 % (1618495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.90 % (1618495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.90 % (1618495)CaDiCaL version: 2.1.3
% 6.81/1.90 % (1618495)Termination reason: Instruction limit
% 6.81/1.90 % (1618495)Termination phase: Saturation
% 6.81/1.90 % (1618495)Time elapsed: 0.142 s
% 6.81/1.90 % (1618495)Peak memory usage: 91 MB
% 6.81/1.90 % (1618495)Instructions burned: 219 (million)
% 6.81/1.90 % (1618504)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3742773544:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 6.81/1.90 % (1618503)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2248335197:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.81/1.90 % (1618505)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=1220787026:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 6.81/1.90 % (1618506)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3275222381:i=107_2995 on theBenchmark for (2995ds/107Mi)
% 6.81/1.90 % (1618503)Instruction limit reached!
% 6.81/1.90 % (1618503)------------------------------
% 6.81/1.90 % (1618503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.90 % (1618503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.90 % (1618503)CaDiCaL version: 2.1.3
% 6.81/1.90 % (1618503)Termination reason: Instruction limit
% 6.81/1.90 % (1618503)Termination phase: Saturation
% 6.81/1.90 % (1618503)Time elapsed: 0.091 s
% 6.81/1.90 % (1618503)Peak memory usage: 91 MB
% 6.81/1.90 % (1618503)Instructions burned: 158 (million)
% 6.81/1.90 % (1618505)Instruction limit reached!
% 6.81/1.90 % (1618505)------------------------------
% 6.81/1.90 % (1618505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.90 % (1618505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.90 % (1618505)CaDiCaL version: 2.1.3
% 6.81/1.90 % (1618505)Termination reason: Instruction limit
% 6.81/1.90 % (1618505)Termination phase: Saturation
% 6.81/1.90 % (1618505)Time elapsed: 0.060 s
% 6.81/1.90 % (1618505)Peak memory usage: 90 MB
% 6.81/1.90 % (1618505)Instructions burned: 107 (million)
% 6.81/1.90 % (1618506)Instruction limit reached!
% 6.81/1.90 % (1618506)------------------------------
% 6.81/1.90 % (1618506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.90 % (1618506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.90 % (1618506)CaDiCaL version: 2.1.3
% 6.81/1.90 % (1618506)Termination reason: Instruction limit
% 6.81/1.90 % (1618506)Termination phase: Saturation
% 6.81/1.90 % (1618506)Time elapsed: 0.067 s
% 6.81/1.90 % (1618506)Peak memory usage: 90 MB
% 6.81/1.90 % (1618506)Instructions burned: 107 (million)
% 6.81/1.90 % (1618511)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1194418515:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 6.81/1.90 % (1618512)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=388943055:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 6.81/1.90 % (1618479)First to succeed.
% 6.81/1.90 % (1618479)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1618474"
% 6.81/1.90 % (1618513)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2784715553:i=134:sd=2:doe=on:ss=axioms:sgt=14_2993 on theBenchmark for (2993ds/134Mi)
% 6.81/1.90 % (1618481)Also succeeded, but the first one will report.
% 6.81/1.90 % (1618513)Instruction limit reached!
% 6.81/1.90 % (1618513)------------------------------
% 6.81/1.90 % (1618513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.90 % (1618513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.90 % (1618513)CaDiCaL version: 2.1.3
% 6.81/1.90 % (1618513)Termination reason: Instruction limit
% 6.81/1.90 % (1618513)Termination phase: Saturation
% 6.81/1.90 % (1618513)Time elapsed: 0.054 s
% 6.81/1.90 % (1618513)Peak memory usage: 88 MB
% 6.81/1.90 % (1618513)Instructions burned: 137 (million)
% 6.81/1.90 % (1618504)Also succeeded, but the first one will report.
% 6.81/1.90 % (1618511)Instruction limit reached!
% 6.81/1.90 % (1618511)------------------------------
% 6.81/1.90 % (1618511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.90 % (1618511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.90 % (1618511)CaDiCaL version: 2.1.3
% 6.81/1.90 % (1618511)Termination reason: Instruction limit
% 6.81/1.90 % (1618511)Termination phase: Saturation
% 6.81/1.90 % (1618511)Time elapsed: 0.154 s
% 6.81/1.90 % (1618511)Peak memory usage: 90 MB
% 6.81/1.90 % (1618511)Instructions burned: 242 (million)
% 6.81/1.90 % (1618517)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2750397016:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 6.81/1.90 % (1618479)Refutation found. Thanks to Tanya!
% 6.81/1.90 % SZS status Unsatisfiable for theBenchmark
% 6.81/1.90 % SZS output start Proof for theBenchmark
% See solution above
% 8.11/2.10 % (1618479)------------------------------
% 8.11/2.10 % (1618479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.11/2.10 % (1618479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.11/2.10 % (1618479)CaDiCaL version: 2.1.3
% 8.11/2.10 % (1618479)Termination reason: Refutation
% 8.11/2.10 % (1618479)Time elapsed: 0.669 s
% 8.11/2.10 % (1618479)Peak memory usage: 132 MB
% 8.11/2.10 % (1618479)Instructions burned: 996 (million)
% 8.11/2.10 % (1618479)------------------------------
% 8.11/2.10 % (1618479)------------------------------
% 8.11/2.10 % (1618474)Success in time 1.079 s
% 8.11/2.10 % Vampire exiting
%------------------------------------------------------------------------------