%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC091-1 : 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 : n015.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 01:02:24 PM UTC 2026
% Result : Unsatisfiable 4.83s 1.61s
% Output : Refutation 7.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 36
% Syntax : Number of formulae : 142 ( 26 unt; 10 def)
% Number of atoms : 408 ( 49 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 520 ( 254 ~; 256 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 11 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 56 ( 0 sgn 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f56,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f67,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f77,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f78,axiom,
! [X0] :
( ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f79,axiom,
! [X0] :
( nil != X0
| ~ ssList(X0)
| segmentP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
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(f100,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
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] :
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = 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] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(reorient_equations,[],[f125]) ).
fof(f143,axiom,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
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(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,
neq(sk2,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
frontsegP(sk4,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f209,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
! [X0] :
( ~ neq(sk3,X0)
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ segmentP(X0,sk3)
| ~ totalorderedP(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f213,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f214,plain,
! [X0] :
( ~ neq(X0,nil)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(definition_unfolding,[],[f209,f204,f205]) ).
fof(f215,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(equality_resolution,[],[f79]) ).
fof(f226,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1) ),
inference(equality_resolution,[],[f155]) ).
fof(f229,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(f250,definition,
( spl0_2
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f251,plain,
( ssList(nil)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f255,definition,
( spl0_3
<=> ! [X1] :
( ~ ssItem(X1)
| totalorderedP(cons(X1,nil)) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f256,plain,
( ! [X1] :
( totalorderedP(cons(X1,nil))
| ~ ssItem(X1) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f273,definition,
( spl0_7
<=> segmentP(nil,nil) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f275,plain,
( segmentP(nil,nil)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f276,plain,
( spl0_7
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f215,f250,f273]) ).
fof(f284,plain,
spl0_3,
inference(avatar_split_clause,[],[f67,f255]) ).
fof(f286,plain,
spl0_2,
inference(avatar_split_clause,[],[f8,f250]) ).
fof(f287,plain,
( ~ ssList(sk4)
| ~ segmentP(sk4,sk4)
| ~ segmentP(sk3,sk4) ),
inference(resolution,[],[f214,f213]) ).
fof(f288,plain,
( ~ ssList(sk4)
| ~ segmentP(sk3,sk4) ),
inference(forward_subsumption_resolution,[],[f287,f57]) ).
fof(f289,plain,
~ segmentP(sk3,sk4),
inference(forward_subsumption_resolution,[],[f288,f203]) ).
fof(f290,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil = X0
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(resolution,[],[f102,f214]) ).
fof(f291,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil = X0
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(duplicate_literal_removal,[],[f290]) ).
fof(f292,plain,
( ! [X0] :
( ~ segmentP(sk4,X0)
| nil = X0
| ~ ssList(X0)
| ~ segmentP(sk3,X0) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f291,f251]) ).
fof(f295,plain,
( ~ ssList(sk3)
| ~ ssList(sk4)
| sk4 = app(sk3,skaf45(sk4,sk3)) ),
inference(resolution,[],[f143,f207]) ).
fof(f296,plain,
( ~ ssList(sk4)
| sk4 = app(sk3,skaf45(sk4,sk3)) ),
inference(forward_subsumption_resolution,[],[f295,f202]) ).
fof(f297,plain,
sk4 = app(sk3,skaf45(sk4,sk3)),
inference(forward_subsumption_resolution,[],[f296,f203]) ).
fof(f305,plain,
sk3 = app(nil,sk3),
inference(resolution,[],[f74,f202]) ).
fof(f311,plain,
! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(app(sk3,X0))
| ~ ssList(X0) ),
inference(superposition,[],[f229,f305]) ).
fof(f312,plain,
! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f311,f85]) ).
fof(f313,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(sk3)
| ~ ssList(X0) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f312,f251]) ).
fof(f314,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(X0) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f313,f202]) ).
fof(f315,plain,
( segmentP(sk4,sk3)
| ~ ssList(skaf45(sk4,sk3))
| ~ spl0_2 ),
inference(superposition,[],[f314,f297]) ).
fof(f316,plain,
( segmentP(sk4,sk3)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f315,f51]) ).
fof(f326,plain,
( nil = sk3
| ~ ssList(sk3)
| ~ segmentP(sk3,sk3)
| ~ spl0_2 ),
inference(resolution,[],[f292,f316]) ).
fof(f329,plain,
( nil = sk3
| ~ ssList(sk3)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f326,f57]) ).
fof(f330,plain,
( nil = sk3
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f329,f202]) ).
fof(f334,plain,
( ! [X0] :
( ~ neq(nil,X0)
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ segmentP(X0,nil)
| ~ totalorderedP(X0) )
| ~ spl0_2 ),
inference(superposition,[],[f210,f330]) ).
fof(f341,plain,
( ! [X0] :
( ~ neq(nil,X0)
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ totalorderedP(X0) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f334,f56]) ).
fof(f342,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ totalorderedP(X0)
| ~ ssList(nil)
| ~ ssList(X0)
| nil = X0 )
| ~ spl0_2 ),
inference(resolution,[],[f341,f102]) ).
fof(f343,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ totalorderedP(X0)
| ~ ssList(nil)
| nil = X0 )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f342]) ).
fof(f344,plain,
( ! [X0] :
( ~ frontsegP(sk4,X0)
| ~ ssList(X0)
| ~ totalorderedP(X0)
| nil = X0 )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f343,f251]) ).
fof(f423,plain,
( sk4 = cons(hd(sk4),tl(sk4))
| nil = sk4 ),
inference(resolution,[],[f107,f203]) ).
fof(f425,definition,
( spl0_10
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f426,plain,
( nil != sk4
| spl0_10 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f427,plain,
( nil = sk4
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f429,definition,
( spl0_11
<=> sk4 = cons(hd(sk4),tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f431,plain,
( sk4 = cons(hd(sk4),tl(sk4))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f432,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f423,f429,f425]) ).
fof(f437,plain,
( ~ segmentP(sk3,nil)
| ~ spl0_10 ),
inference(superposition,[],[f289,f427]) ).
fof(f455,plain,
( ~ segmentP(nil,nil)
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f437,f330]) ).
fof(f458,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f455,f275]) ).
fof(f459,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f458]) ).
fof(f466,definition,
( spl0_12
<=> ssItem(hd(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f467,plain,
( ssItem(hd(sk4))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f468,plain,
( ~ ssItem(hd(sk4))
| spl0_12 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f470,definition,
( spl0_13
<=> ssList(tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f471,plain,
( ssList(tl(sk4))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f472,plain,
( ~ ssList(tl(sk4))
| spl0_13 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f486,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_12 ),
inference(resolution,[],[f468,f78]) ).
fof(f487,plain,
( nil = sk4
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f486,f203]) ).
fof(f488,plain,
( $false
| spl0_10
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f487,f426]) ).
fof(f489,plain,
( spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f488]) ).
fof(f490,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(hd(sk4),X0) = app(cons(hd(sk4),nil),X0) )
| ~ spl0_12 ),
inference(resolution,[],[f467,f126]) ).
fof(f499,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_13 ),
inference(resolution,[],[f77,f472]) ).
fof(f505,plain,
( nil = sk4
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f499,f203]) ).
fof(f506,plain,
( $false
| spl0_10
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f505,f426]) ).
fof(f507,plain,
( spl0_10
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f506]) ).
fof(f508,plain,
( cons(hd(sk4),tl(sk4)) = app(cons(hd(sk4),nil),tl(sk4))
| ~ spl0_12
| ~ spl0_13 ),
inference(resolution,[],[f471,f490]) ).
fof(f522,plain,
( sk4 = app(cons(hd(sk4),nil),tl(sk4))
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f508,f431]) ).
fof(f524,plain,
( frontsegP(sk4,cons(hd(sk4),nil))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(sk4)
| ~ ssList(tl(sk4))
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f226,f522]) ).
fof(f528,plain,
( frontsegP(sk4,cons(hd(sk4),nil))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f524,f203]) ).
fof(f531,plain,
( frontsegP(sk4,cons(hd(sk4),nil))
| ~ ssList(cons(hd(sk4),nil))
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f528,f471]) ).
fof(f534,definition,
( spl0_19
<=> ssList(cons(hd(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f535,plain,
( ssList(cons(hd(sk4),nil))
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f536,plain,
( ~ ssList(cons(hd(sk4),nil))
| spl0_19 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f538,definition,
( spl0_20
<=> frontsegP(sk4,cons(hd(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f540,plain,
( frontsegP(sk4,cons(hd(sk4),nil))
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f541,plain,
( ~ spl0_19
| spl0_20
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f531,f470,f466,f429,f538,f534]) ).
fof(f542,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk4))
| spl0_19 ),
inference(resolution,[],[f536,f86]) ).
fof(f543,plain,
( ~ ssItem(hd(sk4))
| ~ spl0_2
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f542,f251]) ).
fof(f544,plain,
( $false
| ~ spl0_2
| ~ spl0_12
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f543,f467]) ).
fof(f545,plain,
( ~ spl0_2
| ~ spl0_12
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f544]) ).
fof(f552,definition,
( spl0_21
<=> nil = cons(hd(sk4),nil) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f553,plain,
( nil != cons(hd(sk4),nil)
| spl0_21 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f554,plain,
( nil = cons(hd(sk4),nil)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f561,plain,
( ~ ssList(cons(hd(sk4),nil))
| ~ totalorderedP(cons(hd(sk4),nil))
| nil = cons(hd(sk4),nil)
| ~ spl0_2
| ~ spl0_20 ),
inference(resolution,[],[f540,f344]) ).
fof(f578,plain,
( nil != nil
| ~ ssItem(hd(sk4))
| ~ ssList(nil)
| ~ spl0_21 ),
inference(superposition,[],[f100,f554]) ).
fof(f581,plain,
( ~ ssItem(hd(sk4))
| ~ ssList(nil)
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f578]) ).
fof(f584,plain,
( ~ ssList(nil)
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f581,f467]) ).
fof(f588,plain,
( $false
| ~ spl0_2
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f584,f251]) ).
fof(f589,plain,
( ~ spl0_2
| ~ spl0_12
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f588]) ).
fof(f592,plain,
( ~ totalorderedP(cons(hd(sk4),nil))
| nil = cons(hd(sk4),nil)
| ~ spl0_2
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f561,f535]) ).
fof(f594,plain,
( ~ totalorderedP(cons(hd(sk4),nil))
| ~ spl0_2
| ~ spl0_19
| ~ spl0_20
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f592,f553]) ).
fof(f596,plain,
( ~ ssItem(hd(sk4))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_19
| ~ spl0_20
| spl0_21 ),
inference(resolution,[],[f594,f256]) ).
fof(f597,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_12
| ~ spl0_19
| ~ spl0_20
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f596,f467]) ).
fof(f598,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_12
| ~ spl0_19
| ~ spl0_20
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f597]) ).
cnf(s6,plain,
( ~ spl0_2
| spl0_7 ),
inference(sat_conversion,[],[f276]) ).
cnf(s8,plain,
spl0_3,
inference(sat_conversion,[],[f284]) ).
cnf(s10,plain,
spl0_2,
inference(sat_conversion,[],[f286]) ).
cnf(s11,plain,
( spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f432]) ).
cnf(s13,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_10 ),
inference(sat_conversion,[],[f459]) ).
cnf(s17,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f489]) ).
cnf(s18,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f507]) ).
cnf(s20,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f541]) ).
cnf(s21,plain,
( ~ spl0_2
| ~ spl0_12
| spl0_19 ),
inference(sat_conversion,[],[f545]) ).
cnf(s23,plain,
( ~ spl0_2
| ~ spl0_12
| ~ spl0_21 ),
inference(sat_conversion,[],[f589]) ).
cnf(s25,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_12
| ~ spl0_19
| ~ spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f598]) ).
cnf(s26,plain,
spl0_7,
inference(rat,[],[s6,s10]) ).
cnf(s27,plain,
~ spl0_10,
inference(rat,[],[s13,s10,s26]) ).
cnf(s28,plain,
spl0_13,
inference(rat,[],[s18,s27]) ).
cnf(s29,plain,
spl0_12,
inference(rat,[],[s17,s27]) ).
cnf(s30,plain,
spl0_11,
inference(rat,[],[s11,s27]) ).
cnf(s31,plain,
~ spl0_21,
inference(rat,[],[s23,s10,s29]) ).
cnf(s32,plain,
spl0_19,
inference(rat,[],[s21,s10,s29]) ).
cnf(s33,plain,
spl0_20,
inference(rat,[],[s20,s29,s32,s28,s30]) ).
cnf(s38,plain,
$false,
inference(rat,[],[s25,s31,s29,s8,s10,s33,s32]) ).
fof(f599,plain,
$false,
inference(avatar_sat_refutation,[],[s38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC091-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n015.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Mon Sep 28 07:52:32 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 4.83/1.61 % (2457480)Input is clausal, will run a generic CNF schedule.
% 4.83/1.61 % (2457489)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=496141022:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.83/1.61 % (2457485)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=2672011758:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.83/1.61 % (2457490)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2795488159:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.83/1.61 % (2457486)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=418254424:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.83/1.61 % (2457487)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4150731399:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.83/1.61 % (2457488)lrs+10_1_sil=8000:sp=occurrence:random_seed=323345993:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.83/1.61 % (2457491)dis-21_1_sil=8000:lcm=predicate:random_seed=3119910154: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)
% 4.83/1.61 % (2457491)Instruction limit reached!
% 4.83/1.61 % (2457491)------------------------------
% 4.83/1.61 % (2457491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.83/1.61 % (2457491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.83/1.61 % (2457491)CaDiCaL version: 2.1.3
% 4.83/1.61 % (2457491)Termination reason: Instruction limit
% 4.83/1.61 % (2457491)Termination phase: Saturation
% 4.83/1.61 % (2457491)Time elapsed: 0.049 s
% 4.83/1.61 % (2457491)Peak memory usage: 88 MB
% 4.83/1.61 % (2457491)Instructions burned: 119 (million)
% 4.83/1.61 % (2457489)Instruction limit reached!
% 4.83/1.61 % (2457489)------------------------------
% 4.83/1.61 % (2457489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.83/1.61 % (2457489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.83/1.61 % (2457489)CaDiCaL version: 2.1.3
% 4.83/1.61 % (2457489)Termination reason: Instruction limit
% 4.83/1.61 % (2457489)Termination phase: Saturation
% 4.83/1.61 % (2457489)Time elapsed: 0.065 s
% 4.83/1.61 % (2457489)Peak memory usage: 88 MB
% 4.83/1.61 % (2457489)Instructions burned: 114 (million)
% 4.83/1.61 % (2457490)Instruction limit reached!
% 4.83/1.61 % (2457490)------------------------------
% 4.83/1.61 % (2457490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.83/1.61 % (2457490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.83/1.61 % (2457490)CaDiCaL version: 2.1.3
% 4.83/1.61 % (2457490)Termination reason: Instruction limit
% 4.83/1.61 % (2457490)Termination phase: Saturation
% 4.83/1.61 % (2457490)Time elapsed: 0.066 s
% 4.83/1.61 % (2457490)Peak memory usage: 89 MB
% 4.83/1.61 % (2457490)Instructions burned: 183 (million)
% 4.83/1.61 % (2457488)Instruction limit reached!
% 4.83/1.61 % (2457488)------------------------------
% 4.83/1.61 % (2457488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.83/1.61 % (2457488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.83/1.61 % (2457488)CaDiCaL version: 2.1.3
% 4.83/1.61 % (2457488)Termination reason: Instruction limit
% 4.83/1.61 % (2457488)Termination phase: Saturation
% 4.83/1.61 % (2457488)Time elapsed: 0.067 s
% 4.83/1.61 % (2457488)Peak memory usage: 89 MB
% 4.83/1.61 % (2457488)Instructions burned: 108 (million)
% 4.83/1.61 % (2457502)lrs+10_64_to=lpo:sil=8000:random_seed=921683900:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 4.83/1.61 % (2457499)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=3940476373:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.83/1.61 % (2457500)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2349260578: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)
% 4.83/1.61 % (2457501)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=72298640:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.83/1.61 % (2457502)Instruction limit reached!
% 4.83/1.61 % (2457502)------------------------------
% 4.83/1.61 % (2457502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.83/1.61 % (2457502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.83/1.61 % (2457502)CaDiCaL version: 2.1.3
% 4.83/1.61 % (2457502)Termination reason: Instruction limit
% 4.83/1.61 % (2457502)Termination phase: Saturation
% 4.83/1.61 % (2457502)Time elapsed: 0.037 s
% 4.83/1.61 % (2457502)Peak memory usage: 90 MB
% 4.83/1.61 % (2457502)Instructions burned: 127 (million)
% 4.83/1.61 % (2457499)Instruction limit reached!
% 4.83/1.61 % (2457499)------------------------------
% 4.83/1.61 % (2457499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.83/1.61 % (2457499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.83/1.61 % (2457499)CaDiCaL version: 2.1.3
% 4.83/1.61 % (2457499)Termination reason: Instruction limit
% 4.83/1.61 % (2457499)Termination phase: Saturation
% 4.83/1.61 % (2457499)Time elapsed: 0.073 s
% 4.83/1.61 % (2457499)Peak memory usage: 89 MB
% 4.83/1.61 % (2457499)Instructions burned: 146 (million)
% 4.83/1.61 % (2457501)Instruction limit reached!
% 4.83/1.61 % (2457501)------------------------------
% 4.83/1.61 % (2457501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.83/1.61 % (2457501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.83/1.61 % (2457501)CaDiCaL version: 2.1.3
% 4.83/1.61 % (2457501)Termination reason: Instruction limit
% 4.83/1.61 % (2457501)Termination phase: Saturation
% 4.83/1.61 % (2457501)Time elapsed: 0.098 s
% 4.83/1.61 % (2457501)Peak memory usage: 88 MB
% 4.83/1.61 % (2457501)Instructions burned: 220 (million)
% 4.83/1.61 % (2457500)Instruction limit reached!
% 4.83/1.61 % (2457500)------------------------------
% 4.83/1.61 % (2457500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.83/1.61 % (2457500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.83/1.61 % (2457500)CaDiCaL version: 2.1.3
% 4.83/1.61 % (2457500)Termination reason: Instruction limit
% 4.83/1.61 % (2457500)Termination phase: Saturation
% 4.83/1.61 % (2457500)Time elapsed: 0.099 s
% 4.83/1.61 % (2457500)Peak memory usage: 91 MB
% 4.83/1.61 % (2457500)Instructions burned: 190 (million)
% 4.83/1.61 % (2457508)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3395374563:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 4.83/1.61 % (2457507)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2950878165:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 4.83/1.61 % (2457508)Instruction limit reached!
% 4.83/1.61 % (2457508)------------------------------
% 4.83/1.61 % (2457508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.83/1.61 % (2457508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.83/1.61 % (2457508)CaDiCaL version: 2.1.3
% 4.83/1.61 % (2457508)Termination reason: Instruction limit
% 4.83/1.61 % (2457508)Termination phase: Saturation
% 4.83/1.61 % (2457508)Time elapsed: 0.048 s
% 4.83/1.61 % (2457508)Peak memory usage: 91 MB
% 4.83/1.61 % (2457508)Instructions burned: 157 (million)
% 4.83/1.61 % (2457510)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=3956271605:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 4.83/1.61 % (2457509)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1759373559:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 4.83/1.61 % (2457507)Instruction limit reached!
% 4.83/1.61 % (2457507)------------------------------
% 4.83/1.61 % (2457507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.83/1.61 % (2457507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.83/1.61 % (2457507)CaDiCaL version: 2.1.3
% 4.83/1.61 % (2457507)Termination reason: Instruction limit
% 4.83/1.61 % (2457507)Termination phase: Saturation
% 4.83/1.61 % (2457507)Time elapsed: 0.127 s
% 4.83/1.61 % (2457507)Peak memory usage: 90 MB
% 4.83/1.61 % (2457507)Instructions burned: 195 (million)
% 4.83/1.61 % (2457510)Instruction limit reached!
% 4.83/1.61 % (2457510)------------------------------
% 4.83/1.61 % (2457510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.83/1.61 % (2457510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.83/1.61 % (2457510)CaDiCaL version: 2.1.3
% 4.83/1.61 % (2457510)Termination reason: Instruction limit
% 4.83/1.61 % (2457510)Termination phase: Saturation
% 4.83/1.61 % (2457510)Time elapsed: 0.054 s
% 4.83/1.61 % (2457510)Peak memory usage: 90 MB
% 4.83/1.61 % (2457510)Instructions burned: 106 (million)
% 4.83/1.61 % (2457513)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3007025:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 4.83/1.61 % (2457513)Instruction limit reached!
% 4.83/1.61 % (2457513)------------------------------
% 4.83/1.61 % (2457513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.83/1.61 % (2457513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.83/1.61 % (2457513)CaDiCaL version: 2.1.3
% 4.83/1.61 % (2457513)Termination reason: Instruction limit
% 4.83/1.61 % (2457513)Termination phase: Saturation
% 4.83/1.61 % (2457513)Time elapsed: 0.036 s
% 4.83/1.61 % (2457513)Peak memory usage: 89 MB
% 4.83/1.61 % (2457513)Instructions burned: 110 (million)
% 4.83/1.61 % (2457485)First to succeed.
% 4.83/1.61 % (2457516)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2468556948:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 4.83/1.61 % (2457485)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2457480"
% 4.83/1.61 % (2457517)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1784470961:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 4.83/1.61 % (2457519)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3316413576:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 4.83/1.61 % (2457516)Instruction limit reached!
% 4.83/1.61 % (2457516)------------------------------
% 4.83/1.61 % (2457516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.83/1.61 % (2457516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.83/1.61 % (2457516)CaDiCaL version: 2.1.3
% 4.83/1.61 % (2457516)Termination reason: Instruction limit
% 4.83/1.61 % (2457516)Termination phase: Saturation
% 4.83/1.61 % (2457516)Time elapsed: 0.151 s
% 4.83/1.61 % (2457516)Peak memory usage: 89 MB
% 4.83/1.61 % (2457516)Instructions burned: 242 (million)
% 4.83/1.61 % (2457485)Refutation found. Thanks to Tanya!
% 4.83/1.61 % SZS status Unsatisfiable for theBenchmark
% 4.83/1.61 % SZS output start Proof for theBenchmark
% See solution above
% 7.34/1.81 % (2457485)------------------------------
% 7.34/1.81 % (2457485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.34/1.81 % (2457485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.81 % (2457485)CaDiCaL version: 2.1.3
% 7.34/1.81 % (2457485)Termination reason: Refutation
% 7.34/1.81 % (2457485)Time elapsed: 0.650 s
% 7.34/1.81 % (2457485)Peak memory usage: 129 MB
% 7.34/1.81 % (2457485)Instructions burned: 1021 (million)
% 7.34/1.81 % (2457485)------------------------------
% 7.34/1.81 % (2457485)------------------------------
% 7.34/1.81 % (2457480)Success in time 0.981 s
% 7.34/1.81 % Vampire exiting
%------------------------------------------------------------------------------