%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC079-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 01:04:34 PM UTC 2026
% Result : Unsatisfiable 1.30s 0.69s
% Output : Refutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 37
% Syntax : Number of formulae : 159 ( 25 unt; 12 def)
% Number of atoms : 514 ( 57 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 668 ( 313 ~; 343 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 13 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn 83 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause50) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause51) ).
fof(f57,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause57) ).
fof(f59,axiom,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause59) ).
fof(f60,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause60) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause75) ).
fof(f76,axiom,
! [X0] :
( ~ ssList(X0)
| ssItem(hd(X0))
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause76) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
fof(f98,axiom,
! [X0,X1] :
( cons(X0,X1) != nil
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',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/Axioms/SWC001-0.ax',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/sandbox2/benchmark/Axioms/SWC001-0.ax',clause104) ).
fof(f118,axiom,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause115) ).
fof(f142,axiom,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| app(skaf46(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause131) ).
fof(f143,axiom,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause132) ).
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/Axioms/SWC001-0.ax',clause173) ).
fof(f192,axiom,
! [X2,X3,X0,X1] :
( ~ frontsegP(X0,X1)
| X2 != X3
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X2)
| frontsegP(cons(X2,X0),cons(X3,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause178) ).
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,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f210,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| sk3 = X0
| ~ ssItem(X1)
| cons(X1,nil) != X0
| hd(sk4) != X1
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f214,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f206,f204,f204]) ).
fof(f218,plain,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ neq(sk4,nil) ),
inference(definition_unfolding,[],[f210,f204,f205]) ).
fof(f225,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f118]) ).
fof(f233,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(app(X0,X1),X2))
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f187]) ).
fof(f235,plain,
! [X3,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X3)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(equality_resolution,[],[f192]) ).
fof(f245,plain,
! [X1] :
( ~ ssList(cons(X1,nil))
| sk3 = cons(X1,nil)
| ~ ssItem(X1)
| hd(sk4) != X1
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f211]) ).
fof(f246,plain,
( ~ ssList(cons(hd(sk4),nil))
| sk3 = cons(hd(sk4),nil)
| ~ ssItem(hd(sk4))
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f245]) ).
fof(f272,plain,
! [X0] :
( ~ segmentP(X0,X0)
| ~ ssList(X0) ),
inference(consistent_polarity_flipping,[],[f57]) ).
fof(f273,plain,
! [X0] :
( ~ frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(consistent_polarity_flipping,[],[f60]) ).
fof(f286,plain,
! [X0] :
( ~ ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(consistent_polarity_flipping,[],[f76]) ).
fof(f292,plain,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f86]) ).
fof(f304,plain,
! [X0,X1] :
( nil != cons(X0,X1)
| ssItem(X0)
| ~ ssList(X1) ),
inference(consistent_polarity_flipping,[],[f99]) ).
fof(f328,plain,
! [X0,X1] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X1,skaf45(X0,X1)) = X0 ),
inference(consistent_polarity_flipping,[],[f143]) ).
fof(f360,plain,
! [X2,X0,X1] :
( ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(app(app(X0,X1),X2),X1) ),
inference(consistent_polarity_flipping,[],[f233]) ).
fof(f364,plain,
! [X3,X0,X1] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ssItem(X3)
| ssItem(X3)
| ~ frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(consistent_polarity_flipping,[],[f235]) ).
fof(f374,plain,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| segmentP(sk4,X0)
| segmentP(sk3,X0)
| ~ neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f218]) ).
fof(f375,plain,
( ~ ssList(cons(hd(sk4),nil))
| sk3 = cons(hd(sk4),nil)
| ssItem(hd(sk4))
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f246]) ).
fof(f376,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f214]) ).
fof(f377,plain,
! [X3,X0,X1] :
( ~ frontsegP(cons(X3,X0),cons(X3,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ssItem(X3)
| frontsegP(X0,X1) ),
inference(duplicate_literal_removal,[],[f364]) ).
fof(f381,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f225]) ).
fof(f384,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f385,plain,
( neq(sk4,nil)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f388,definition,
( spl0_2
<=> neq(nil,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f390,plain,
( ~ neq(nil,sk4)
| spl0_2 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f392,definition,
( spl0_3
<=> ssItem(hd(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f393,plain,
( ~ ssItem(hd(sk4))
| spl0_3 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f394,plain,
( ssItem(hd(sk4))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f396,definition,
( spl0_4
<=> sk3 = cons(hd(sk4),nil) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f398,plain,
( sk3 = cons(hd(sk4),nil)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f400,definition,
( spl0_5
<=> ssList(cons(hd(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f402,plain,
( ~ ssList(cons(hd(sk4),nil))
| spl0_5 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f403,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f375,f400,f396,f392,f388,f384]) ).
fof(f405,definition,
( spl0_6
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(sk3,X0)
| segmentP(sk4,X0)
| ~ neq(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f406,plain,
( ! [X0] :
( ~ neq(X0,nil)
| segmentP(sk3,X0)
| segmentP(sk4,X0)
| ~ ssList(X0) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f407,plain,
( ~ spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f374,f405,f384]) ).
fof(f410,plain,
spl0_1,
inference(avatar_split_clause,[],[f376,f384]) ).
fof(f416,definition,
( spl0_8
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f417,plain,
( ssList(nil)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f452,plain,
spl0_8,
inference(avatar_split_clause,[],[f8,f416]) ).
fof(f584,plain,
( ~ ssList(nil)
| ~ ssList(sk4)
| nil = sk4
| spl0_2 ),
inference(resolution,[],[f102,f390]) ).
fof(f585,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil = X0
| segmentP(sk3,X0)
| segmentP(sk4,X0)
| ~ ssList(X0) )
| ~ spl0_6 ),
inference(resolution,[],[f102,f406]) ).
fof(f588,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil = X0
| segmentP(sk3,X0)
| segmentP(sk4,X0) )
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f585]) ).
fof(f589,plain,
( ! [X0] :
( segmentP(sk3,X0)
| nil = X0
| ~ ssList(X0)
| segmentP(sk4,X0) )
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f588,f417]) ).
fof(f590,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_2
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f584,f417]) ).
fof(f591,plain,
( nil = sk4
| spl0_2
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f590,f203]) ).
fof(f593,plain,
( neq(nil,nil)
| ~ spl0_1
| spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f385,f591]) ).
fof(f594,plain,
( ~ neq(nil,nil)
| spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f390,f591]) ).
fof(f605,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f594,f593]) ).
fof(f606,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f605]) ).
fof(f608,plain,
( nil = sk3
| ~ ssList(sk3)
| segmentP(sk4,sk3)
| ~ ssList(sk3)
| ~ spl0_6
| ~ spl0_8 ),
inference(resolution,[],[f589,f272]) ).
fof(f609,plain,
( nil = sk3
| ~ ssList(sk3)
| segmentP(sk4,sk3)
| ~ spl0_6
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f608]) ).
fof(f610,plain,
( nil = sk3
| segmentP(sk4,sk3)
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f609,f202]) ).
fof(f612,definition,
( spl0_18
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f614,plain,
( segmentP(sk4,sk3)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f616,definition,
( spl0_19
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f619,plain,
( spl0_18
| spl0_19
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f610,f416,f405,f616,f612]) ).
fof(f624,plain,
( ~ ssList(nil)
| ssItem(hd(sk4))
| spl0_5 ),
inference(resolution,[],[f292,f402]) ).
fof(f627,plain,
( ssItem(hd(sk4))
| spl0_5
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f624,f417]) ).
fof(f628,plain,
( spl0_3
| spl0_5
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f627,f416,f400,f392]) ).
fof(f629,plain,
( ~ ssList(sk4)
| nil = sk4
| ~ spl0_3 ),
inference(resolution,[],[f394,f286]) ).
fof(f630,plain,
( nil = sk4
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f629,f203]) ).
fof(f632,plain,
( neq(nil,nil)
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f385,f630]) ).
fof(f676,plain,
( ~ ssList(nil)
| ~ spl0_1
| ~ spl0_3 ),
inference(resolution,[],[f632,f381]) ).
fof(f678,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f676,f417]) ).
fof(f679,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f678]) ).
fof(f696,plain,
( nil != sk3
| ssItem(hd(sk4))
| ~ ssList(nil)
| ~ spl0_4 ),
inference(superposition,[],[f304,f398]) ).
fof(f698,plain,
( nil != sk3
| ~ ssList(nil)
| spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f696,f393]) ).
fof(f708,plain,
( nil != sk3
| spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f698,f417]) ).
fof(f711,plain,
( ~ spl0_19
| spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f708,f416,f396,f392,f616]) ).
fof(f794,plain,
( sk4 = cons(hd(sk4),tl(sk4))
| nil = sk4 ),
inference(resolution,[],[f107,f203]) ).
fof(f796,definition,
( spl0_20
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f797,plain,
( nil != sk4
| spl0_20 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f798,plain,
( nil = sk4
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f800,definition,
( spl0_21
<=> sk4 = cons(hd(sk4),tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f802,plain,
( sk4 = cons(hd(sk4),tl(sk4))
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f803,plain,
( spl0_20
| spl0_21 ),
inference(avatar_split_clause,[],[f794,f800,f796]) ).
fof(f1111,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(X0)
| app(skaf46(X0,X0),X0) = X0
| ~ ssList(X0) ),
inference(resolution,[],[f142,f59]) ).
fof(f1114,plain,
! [X0] :
( ~ ssList(X0)
| app(skaf46(X0,X0),X0) = X0 ),
inference(duplicate_literal_removal,[],[f1111]) ).
fof(f1172,plain,
( neq(nil,nil)
| ~ spl0_1
| ~ spl0_20 ),
inference(superposition,[],[f385,f798]) ).
fof(f1209,plain,
( ~ ssList(nil)
| ~ spl0_1
| ~ spl0_20 ),
inference(resolution,[],[f1172,f381]) ).
fof(f1211,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1209,f417]) ).
fof(f1212,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1211]) ).
fof(f1388,plain,
( ! [X0] :
( ~ frontsegP(cons(hd(sk4),X0),sk3)
| ~ ssList(nil)
| ~ ssList(X0)
| ssItem(hd(sk4))
| frontsegP(X0,nil) )
| ~ spl0_4 ),
inference(superposition,[],[f377,f398]) ).
fof(f1391,plain,
( ! [X0] :
( ~ frontsegP(cons(hd(sk4),X0),sk3)
| ~ ssList(X0)
| ssItem(hd(sk4))
| frontsegP(X0,nil) )
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f1388,f417]) ).
fof(f1396,plain,
( ! [X0] :
( ~ frontsegP(cons(hd(sk4),X0),sk3)
| ~ ssList(X0)
| frontsegP(X0,nil) )
| spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f1391,f393]) ).
fof(f1401,plain,
( ! [X0] :
( ~ frontsegP(cons(hd(sk4),X0),sk3)
| ~ ssList(X0) )
| spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f1396,f273]) ).
fof(f1495,definition,
( spl0_27
<=> ssList(tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f1496,plain,
( ssList(tl(sk4))
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f1495]) ).
fof(f1497,plain,
( ~ ssList(tl(sk4))
| spl0_27 ),
inference(avatar_component_clause,[],[f1495]) ).
fof(f1596,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_27 ),
inference(resolution,[],[f1497,f75]) ).
fof(f1597,plain,
( nil = sk4
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f1596,f203]) ).
fof(f1598,plain,
( $false
| spl0_20
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f1597,f797]) ).
fof(f1599,plain,
( spl0_20
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f1598]) ).
fof(f2127,plain,
( ~ frontsegP(sk4,sk3)
| ~ ssList(tl(sk4))
| spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_21 ),
inference(superposition,[],[f1401,f802]) ).
fof(f2128,plain,
( ~ frontsegP(sk4,sk3)
| spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f2127,f1496]) ).
fof(f2135,plain,
( ~ ssList(sk3)
| ~ ssList(sk4)
| sk4 = app(sk3,skaf45(sk4,sk3))
| spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_21
| ~ spl0_27 ),
inference(resolution,[],[f2128,f328]) ).
fof(f2136,plain,
( ~ ssList(sk4)
| sk4 = app(sk3,skaf45(sk4,sk3))
| spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f2135,f202]) ).
fof(f2137,plain,
( sk4 = app(sk3,skaf45(sk4,sk3))
| spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f2136,f203]) ).
fof(f10327,plain,
sk3 = app(skaf46(sk3,sk3),sk3),
inference(resolution,[],[f1114,f202]) ).
fof(f10341,plain,
! [X0] :
( ~ ssList(app(sk3,X0))
| ~ ssList(skaf46(sk3,sk3))
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ segmentP(app(sk3,X0),sk3) ),
inference(superposition,[],[f360,f10327]) ).
fof(f10351,plain,
! [X0] :
( ~ ssList(skaf46(sk3,sk3))
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ segmentP(app(sk3,X0),sk3) ),
inference(forward_subsumption_resolution,[],[f10341,f85]) ).
fof(f10363,plain,
! [X0] :
( ~ ssList(sk3)
| ~ ssList(X0)
| ~ segmentP(app(sk3,X0),sk3) ),
inference(forward_subsumption_resolution,[],[f10351,f50]) ).
fof(f10368,plain,
! [X0] :
( ~ segmentP(app(sk3,X0),sk3)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f10363,f202]) ).
fof(f10725,plain,
( ~ segmentP(sk4,sk3)
| ~ ssList(skaf45(sk4,sk3))
| spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_21
| ~ spl0_27 ),
inference(superposition,[],[f10368,f2137]) ).
fof(f10729,plain,
( ~ ssList(skaf45(sk4,sk3))
| spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_18
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f10725,f614]) ).
fof(f10733,plain,
( $false
| spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_18
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f10729,f51]) ).
fof(f10734,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_18
| ~ spl0_21
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f10733]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f403]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f407]) ).
cnf(s5,plain,
spl0_1,
inference(sat_conversion,[],[f410]) ).
cnf(s15,plain,
spl0_8,
inference(sat_conversion,[],[f452]) ).
cnf(s19,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_8 ),
inference(sat_conversion,[],[f606]) ).
cnf(s20,plain,
( ~ spl0_6
| ~ spl0_8
| spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f619]) ).
cnf(s21,plain,
( spl0_3
| spl0_5
| ~ spl0_8 ),
inference(sat_conversion,[],[f628]) ).
cnf(s22,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(sat_conversion,[],[f679]) ).
cnf(s23,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_19 ),
inference(sat_conversion,[],[f711]) ).
cnf(s25,plain,
( spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f803]) ).
cnf(s34,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_20 ),
inference(sat_conversion,[],[f1212]) ).
cnf(s43,plain,
( spl0_20
| spl0_27 ),
inference(sat_conversion,[],[f1599]) ).
cnf(s268,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_18
| ~ spl0_21
| ~ spl0_27 ),
inference(sat_conversion,[],[f10734]) ).
cnf(s303,plain,
~ spl0_20,
inference(rat,[],[s34,s15,s5]) ).
cnf(s304,plain,
~ spl0_3,
inference(rat,[],[s22,s15,s5]) ).
cnf(s305,plain,
spl0_2,
inference(rat,[],[s19,s15,s5]) ).
cnf(s308,plain,
spl0_27,
inference(rat,[],[s43,s303]) ).
cnf(s311,plain,
spl0_21,
inference(rat,[],[s25,s303]) ).
cnf(s312,plain,
spl0_5,
inference(rat,[],[s21,s15,s304]) ).
cnf(s322,plain,
spl0_6,
inference(rat,[],[s2,s5]) ).
cnf(s324,plain,
spl0_4,
inference(rat,[],[s1,s312,s304,s305,s5]) ).
cnf(s325,plain,
~ spl0_18,
inference(rat,[],[s268,s308,s311,s304,s15,s324]) ).
cnf(s328,plain,
~ spl0_19,
inference(rat,[],[s23,s304,s15,s324]) ).
cnf(s329,plain,
$false,
inference(rat,[],[s20,s322,s15,s328,s325]) ).
fof(f10736,plain,
$false,
inference(avatar_sat_refutation,[],[s329]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC079-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n019.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 07:45:19 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.30/0.69 % (3838384)Will run a generic schedule for satisfiability detection.
% 1.30/0.69 % (3838393)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3479315672:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.30/0.69 % (3838390)% WARNING: option uhcvi not known.
% 1.30/0.69 % (3838389)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4041263782_2999 on theBenchmark for (2999ds/0Mi)
% 1.30/0.69 % (3838391)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2433256524:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.30/0.69 % (3838390)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1858797796:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.30/0.69 % (3838392)dis+10_1_sil=32000:sp=arity:random_seed=2137647364:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.30/0.69 % (3838395)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=587390471:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.30/0.69 % (3838394)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1807742879:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.30/0.69 % TRYING [1]
% 1.30/0.69 % TRYING [2]
% 1.30/0.69 % TRYING [3]
% 1.30/0.69 % (3838393)Instruction limit reached!
% 1.30/0.69 % (3838393)------------------------------
% 1.30/0.69 % (3838393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.69 % (3838393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.69 % (3838393)CaDiCaL version: 2.1.3
% 1.30/0.69 % (3838393)Termination reason: Instruction limit
% 1.30/0.69 % (3838393)Termination phase: Saturation
% 1.30/0.69 % (3838393)Time elapsed: 0.034 s
% 1.30/0.69 % (3838393)Peak memory usage: 13 MB
% 1.30/0.69 % (3838393)Instructions burned: 117 (million)
% 1.30/0.69 % TRYING [4]
% 1.30/0.69 % (3838403)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3312738584:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.30/0.69 % TRYING [1]
% 1.30/0.69 % TRYING [2]
% 1.30/0.69 % (3838392)Instruction limit reached!
% 1.30/0.69 % (3838392)------------------------------
% 1.30/0.69 % (3838392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.69 % (3838392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.69 % (3838392)CaDiCaL version: 2.1.3
% 1.30/0.69 % (3838392)Termination reason: Instruction limit
% 1.30/0.69 % (3838392)Termination phase: Saturation
% 1.30/0.69 % (3838392)Time elapsed: 0.060 s
% 1.30/0.69 % (3838392)Peak memory usage: 13 MB
% 1.30/0.69 % (3838392)Instructions burned: 104 (million)
% 1.30/0.69 % TRYING [3]
% 1.30/0.69 % (3838394)Instruction limit reached!
% 1.30/0.69 % (3838394)------------------------------
% 1.30/0.69 % (3838394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.69 % (3838394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.69 % (3838394)CaDiCaL version: 2.1.3
% 1.30/0.69 % (3838394)Termination reason: Instruction limit
% 1.30/0.69 % (3838394)Termination phase: Saturation
% 1.30/0.69 % (3838394)Time elapsed: 0.068 s
% 1.30/0.69 % (3838394)Peak memory usage: 14 MB
% 1.30/0.69 % (3838394)Instructions burned: 131 (million)
% 1.30/0.69 % (3838405)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2742061222:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.30/0.69 % TRYING [4]
% 1.30/0.69 % (3838406)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3760605265:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.30/0.69 % (3838395)Instruction limit reached!
% 1.30/0.69 % (3838395)------------------------------
% 1.30/0.69 % (3838395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.69 % (3838395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.69 % (3838395)CaDiCaL version: 2.1.3
% 1.30/0.69 % (3838395)Termination reason: Instruction limit
% 1.30/0.69 % (3838395)Termination phase: Saturation
% 1.30/0.69 % (3838395)Time elapsed: 0.093 s
% 1.30/0.69 % (3838395)Peak memory usage: 14 MB
% 1.30/0.69 % (3838395)Instructions burned: 160 (million)
% 1.30/0.69 % TRYING [5]
% 1.30/0.69 % (3838405)Instruction limit reached!
% 1.30/0.69 % (3838405)------------------------------
% 1.30/0.69 % (3838405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.69 % (3838405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.69 % (3838405)CaDiCaL version: 2.1.3
% 1.30/0.69 % (3838405)Termination reason: Instruction limit
% 1.30/0.69 % (3838405)Termination phase: Saturation
% 1.30/0.69 % (3838405)Time elapsed: 0.039 s
% 1.30/0.69 % (3838405)Peak memory usage: 14 MB
% 1.30/0.69 % (3838405)Instructions burned: 133 (million)
% 1.30/0.69 % (3838409)ott-21_1_sil=16000:fs=off:random_seed=682273469:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.30/0.69 % (3838410)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2100942301:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.30/0.69 % TRYING [5]
% 1.30/0.69 % (3838409)Instruction limit reached!
% 1.30/0.69 % (3838409)------------------------------
% 1.30/0.69 % (3838409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.69 % (3838409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.69 % (3838409)CaDiCaL version: 2.1.3
% 1.30/0.69 % (3838409)Termination reason: Instruction limit
% 1.30/0.69 % (3838409)Termination phase: Saturation
% 1.30/0.69 % (3838409)Time elapsed: 0.091 s
% 1.30/0.69 % (3838409)Peak memory usage: 13 MB
% 1.30/0.69 % (3838409)Instructions burned: 180 (million)
% 1.30/0.69 % (3838413)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1924074544:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.30/0.69 % (3838390) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3838384-3838390"...
% 1.30/0.69 % TRYING [1]
% 1.30/0.69 % (3838390)...printing done.
% 1.30/0.69 % TRYING [2]
% 1.30/0.69 % (3838390)Refutation found. Thanks to Tanya!
% 1.30/0.69 % SZS status Unsatisfiable for theBenchmark
% 1.30/0.69 % SZS output start Proof for theBenchmark
% See solution above
% 1.30/0.70 % (3838390)------------------------------
% 1.30/0.70 % (3838390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.70 % (3838390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.70 % (3838390)CaDiCaL version: 2.1.3
% 1.30/0.70 % (3838390)Termination reason: Refutation
% 1.30/0.70 % (3838390)Time elapsed: 0.231 s
% 1.30/0.70 % (3838390)Peak memory usage: 16 MB
% 1.30/0.70 % (3838390)Instructions burned: 378 (million)
% 1.30/0.70 % (3838384)Success in time 0.272 s
% 1.30/0.70 % Vampire exiting
%------------------------------------------------------------------------------