%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC063-1 : 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 : n012.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 01:02:16 PM UTC 2026
% Result : Unsatisfiable 0.39s 0.81s
% Output : Refutation 2.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 33
% Syntax : Number of formulae : 138 ( 13 unt; 11 def)
% Number of atoms : 494 ( 52 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 703 ( 347 ~; 345 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 12 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
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(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(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,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,plain,
( sk3 = app(cons(sk5,nil),sk6)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f209]) ).
fof(f211,negated_conjecture,
( app(sk6,cons(sk5,nil)) = sk4
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f212,plain,
( sk4 = app(sk6,cons(sk5,nil))
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f211]) ).
fof(f213,negated_conjecture,
( nil = sk2
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f214,negated_conjecture,
! [X0] :
( nil = sk2
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f215,negated_conjecture,
( nil != sk1
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f216,negated_conjecture,
! [X0] :
( nil != sk1
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f219,plain,
( nil = sk4
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f213,f204,f204]) ).
fof(f220,plain,
! [X0] :
( nil = sk4
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(definition_unfolding,[],[f214,f204,f204,f205]) ).
fof(f221,plain,
( nil != sk3
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f215,f205,f204]) ).
fof(f222,plain,
! [X0] :
( nil != sk3
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(definition_unfolding,[],[f216,f205,f204,f205]) ).
fof(f227,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(f233,definition,
( spl0_1
<=> ! [X0] :
( ~ ssList(X0)
| ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f234,plain,
( ! [X0] :
( ~ neq(X0,nil)
| ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ ssList(X0) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f236,definition,
( spl0_2
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f239,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f222,f236,f233]) ).
fof(f241,definition,
( spl0_3
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f243,plain,
( neq(sk4,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f244,plain,
( spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f221,f236,f241]) ).
fof(f246,definition,
( spl0_4
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f249,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f220,f246,f233]) ).
fof(f250,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f219,f246,f241]) ).
fof(f252,definition,
( spl0_5
<=> sk4 = app(sk6,cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f254,plain,
( sk4 = app(sk6,cons(sk5,nil))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f255,plain,
( ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f212,f252,f241]) ).
fof(f257,definition,
( spl0_6
<=> sk3 = app(cons(sk5,nil),sk6) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f259,plain,
( sk3 = app(cons(sk5,nil),sk6)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f260,plain,
( ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f210,f257,f241]) ).
fof(f262,definition,
( spl0_7
<=> ssList(sk6) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f264,plain,
( ssList(sk6)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f265,plain,
( ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f208,f262,f241]) ).
fof(f267,definition,
( spl0_8
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f269,plain,
( ssItem(sk5)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f270,plain,
( ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f207,f267,f241]) ).
fof(f271,plain,
( ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f206,f236,f246]) ).
fof(f274,plain,
( ~ segmentP(sk3,sk4)
| ~ segmentP(sk4,sk4)
| ~ ssList(sk4)
| ~ spl0_1
| ~ spl0_3 ),
inference(resolution,[],[f234,f243]) ).
fof(f275,plain,
( ~ segmentP(sk3,sk4)
| ~ ssList(sk4)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f274,f57]) ).
fof(f276,plain,
( ~ segmentP(sk3,sk4)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f275,f203]) ).
fof(f279,plain,
sk3 = app(sk3,nil),
inference(resolution,[],[f73,f202]) ).
fof(f280,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f73,f203]) ).
fof(f286,plain,
( sk6 = app(nil,sk6)
| ~ spl0_7 ),
inference(resolution,[],[f74,f264]) ).
fof(f304,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil = X0
| ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ ssList(X0) )
| ~ spl0_1 ),
inference(resolution,[],[f102,f234]) ).
fof(f309,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil = X0
| ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f304]) ).
fof(f310,plain,
( ! [X0] :
( ~ segmentP(sk4,X0)
| nil = X0
| ~ segmentP(sk3,X0)
| ~ ssList(X0) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f309,f8]) ).
fof(f326,definition,
( spl0_9
<=> nil = sk6 ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f327,plain,
( nil != sk6
| spl0_9 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f328,plain,
( nil = sk6
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f330,definition,
( spl0_10
<=> ssList(cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f331,plain,
( ssList(cons(sk5,nil))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f332,plain,
( ~ ssList(cons(sk5,nil))
| spl0_10 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f335,definition,
( spl0_11
<=> nil = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f336,plain,
( nil != cons(sk5,nil)
| spl0_11 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f337,plain,
( nil = cons(sk5,nil)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f339,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_10 ),
inference(resolution,[],[f332,f86]) ).
fof(f340,plain,
( ~ ssItem(sk5)
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f339,f8]) ).
fof(f341,plain,
( $false
| ~ spl0_8
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f340,f269]) ).
fof(f342,plain,
( ~ spl0_8
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f341]) ).
fof(f373,plain,
( sk3 = app(nil,sk6)
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f259,f337]) ).
fof(f375,plain,
( sk3 = sk6
| ~ spl0_6
| ~ spl0_7
| ~ spl0_11 ),
inference(superposition,[],[f286,f373]) ).
fof(f378,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk5,X0) = app(cons(sk5,nil),X0) )
| ~ spl0_8 ),
inference(resolution,[],[f126,f269]) ).
fof(f384,plain,
( sk4 = app(sk3,cons(sk5,nil))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_11 ),
inference(superposition,[],[f254,f375]) ).
fof(f390,plain,
( sk4 = app(sk3,nil)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f384,f337]) ).
fof(f391,plain,
( sk3 = sk4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f390,f279]) ).
fof(f399,plain,
( ~ segmentP(sk3,sk3)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_11 ),
inference(superposition,[],[f276,f391]) ).
fof(f527,plain,
( ~ ssList(sk3)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_11 ),
inference(resolution,[],[f399,f57]) ).
fof(f528,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f527,f202]) ).
fof(f529,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f528]) ).
fof(f658,plain,
( ! [X0] :
( segmentP(app(sk6,X0),sk6)
| ~ ssList(nil)
| ~ ssList(sk6)
| ~ ssList(app(sk6,X0))
| ~ ssList(X0) )
| ~ spl0_7 ),
inference(superposition,[],[f227,f286]) ).
fof(f659,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sk6)
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk6)
| ~ ssList(app(sk3,X0))
| ~ ssList(X0) )
| ~ spl0_6 ),
inference(superposition,[],[f227,f259]) ).
fof(f663,plain,
( ! [X0] :
( segmentP(app(sk4,X0),cons(sk5,nil))
| ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| ~ ssList(app(sk4,X0))
| ~ ssList(X0) )
| ~ spl0_5 ),
inference(superposition,[],[f227,f254]) ).
fof(f668,plain,
( ! [X0] :
( segmentP(app(sk4,X0),cons(sk5,nil))
| ~ ssList(cons(sk5,nil))
| ~ ssList(app(sk4,X0))
| ~ ssList(X0) )
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f663,f264]) ).
fof(f669,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sk6)
| ~ ssList(sk6)
| ~ ssList(app(sk3,X0))
| ~ ssList(X0) )
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f659,f331]) ).
fof(f670,plain,
( ! [X0] :
( segmentP(app(sk6,X0),sk6)
| ~ ssList(nil)
| ~ ssList(sk6)
| ~ ssList(X0) )
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f658,f85]) ).
fof(f674,plain,
( ! [X0] :
( segmentP(app(sk4,X0),cons(sk5,nil))
| ~ ssList(app(sk4,X0))
| ~ ssList(X0) )
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f668,f331]) ).
fof(f675,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sk6)
| ~ ssList(app(sk3,X0))
| ~ ssList(X0) )
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f669,f264]) ).
fof(f676,plain,
( ! [X0] :
( segmentP(app(sk6,X0),sk6)
| ~ ssList(sk6)
| ~ ssList(X0) )
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f670,f8]) ).
fof(f680,plain,
( ! [X0] :
( segmentP(app(sk6,X0),sk6)
| ~ ssList(X0) )
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f676,f264]) ).
fof(f686,plain,
( segmentP(sk4,sk6)
| ~ ssList(cons(sk5,nil))
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f680,f254]) ).
fof(f689,plain,
( segmentP(sk4,sk6)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f686,f331]) ).
fof(f707,plain,
( app(cons(sk5,nil),sk6) = cons(sk5,sk6)
| ~ spl0_7
| ~ spl0_8 ),
inference(resolution,[],[f378,f264]) ).
fof(f708,plain,
( sk3 = cons(sk5,sk6)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f707,f259]) ).
fof(f709,plain,
( nil = sk6
| ~ segmentP(sk3,sk6)
| ~ ssList(sk6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10 ),
inference(resolution,[],[f689,f310]) ).
fof(f714,plain,
( ~ segmentP(sk3,sk6)
| ~ ssList(sk6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f709,f327]) ).
fof(f717,plain,
( ~ segmentP(sk3,sk6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f714,f264]) ).
fof(f729,plain,
( segmentP(sk3,sk6)
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f675,f279]) ).
fof(f732,plain,
( ~ ssList(sk3)
| ~ ssList(nil)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f729,f717]) ).
fof(f735,plain,
( ~ ssList(nil)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f732,f202]) ).
fof(f736,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f735,f8]) ).
fof(f737,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f736]) ).
fof(f784,plain,
( segmentP(sk4,cons(sk5,nil))
| ~ ssList(sk4)
| ~ ssList(nil)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f674,f280]) ).
fof(f787,plain,
( segmentP(sk4,cons(sk5,nil))
| ~ ssList(nil)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f784,f203]) ).
fof(f790,plain,
( segmentP(sk4,cons(sk5,nil))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f787,f8]) ).
fof(f791,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f708,f328]) ).
fof(f819,plain,
( nil = cons(sk5,nil)
| ~ segmentP(sk3,cons(sk5,nil))
| ~ ssList(cons(sk5,nil))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10 ),
inference(resolution,[],[f790,f310]) ).
fof(f824,plain,
( ~ segmentP(sk3,cons(sk5,nil))
| ~ ssList(cons(sk5,nil))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f819,f336]) ).
fof(f827,plain,
( ~ segmentP(sk3,cons(sk5,nil))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f824,f331]) ).
fof(f830,plain,
( ~ segmentP(sk3,sk3)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(forward_demodulation,[],[f827,f791]) ).
fof(f840,plain,
( ~ ssList(sk3)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(resolution,[],[f830,f57]) ).
fof(f841,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f840,f202]) ).
fof(f842,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f841]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f239]) ).
cnf(s2,plain,
( ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f244]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f249]) ).
cnf(s4,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f250]) ).
cnf(s5,plain,
( ~ spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f255]) ).
cnf(s6,plain,
( ~ spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f260]) ).
cnf(s7,plain,
( ~ spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f265]) ).
cnf(s8,plain,
( ~ spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f270]) ).
cnf(s9,plain,
( spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f271]) ).
cnf(s12,plain,
( ~ spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f342]) ).
cnf(s16,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_11 ),
inference(sat_conversion,[],[f529]) ).
cnf(s18,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f737]) ).
cnf(s19,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f842]) ).
cnf(s20,plain,
spl0_1,
inference(rat,[],[s9,s1,s3]) ).
cnf(s21,plain,
~ spl0_3,
inference(rat,[],[s19,s16,s18,s12,s5,s6,s7,s8,s20]) ).
cnf(s22,plain,
spl0_4,
inference(rat,[],[s4,s21]) ).
cnf(s23,plain,
~ spl0_2,
inference(rat,[],[s2,s21]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s9,s22,s23]) ).
fof(f843,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWC063-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.31 % Computer : n012.cluster.edu
% 0.05/0.31 % Model : x86_64 x86_64
% 0.05/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.31 % Memory : 8046.5625MB
% 0.05/0.31 % OS : Linux 6.8.0-71-generic
% 0.05/0.31 % CPULimit : 300
% 0.05/0.31 % WCLimit : 300
% 0.05/0.31 % DateTime : Mon Sep 28 07:40:49 UTC 2026
% 0.05/0.31 % CPUTime :
% 0.05/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 0.39/0.81 % (3219623)Input is clausal, will run a generic CNF schedule.
% 0.39/0.81 % (3219632)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1065504054:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.39/0.81 % (3219633)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=931157119:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.39/0.81 % (3219634)dis-21_1_sil=8000:lcm=predicate:random_seed=3156070837: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)
% 0.39/0.81 % (3219630)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1659021947:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.39/0.81 % (3219628)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=954724996:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.39/0.81 % (3219629)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=29882033:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.39/0.81 % (3219631)lrs+10_1_sil=8000:sp=occurrence:random_seed=3982441683:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.39/0.81 % (3219631)First to succeed.
% 0.39/0.81 % (3219631)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3219623"
% 0.39/0.81 % (3219632)Also succeeded, but the first one will report.
% 0.39/0.81 % (3219634)Instruction limit reached!
% 0.39/0.81 % (3219634)------------------------------
% 0.39/0.81 % (3219634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.39/0.81 % (3219634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.81 % (3219634)CaDiCaL version: 2.1.3
% 0.39/0.81 % (3219634)Termination reason: Instruction limit
% 0.39/0.81 % (3219634)Termination phase: Saturation
% 0.39/0.81 % (3219634)Time elapsed: 0.036 s
% 0.39/0.81 % (3219634)Peak memory usage: 90 MB
% 0.39/0.81 % (3219634)Instructions burned: 117 (million)
% 0.39/0.81 % (3219633)Also succeeded, but the first one will report.
% 0.39/0.81 % (3219642)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=4194616064:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 0.39/0.81 % (3219642)Also succeeded, but the first one will report.
% 0.39/0.81 % (3219631)Refutation found. Thanks to Tanya!
% 0.39/0.81 % SZS status Unsatisfiable for theBenchmark
% 0.39/0.81 % SZS output start Proof for theBenchmark
% See solution above
% 2.26/0.91 % (3219631)------------------------------
% 2.26/0.91 % (3219631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.26/0.91 % (3219631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.91 % (3219631)CaDiCaL version: 2.1.3
% 2.26/0.91 % (3219631)Termination reason: Refutation
% 2.26/0.91 % (3219631)Time elapsed: 0.009 s
% 2.26/0.91 % (3219631)Peak memory usage: 89 MB
% 2.26/0.91 % (3219631)Instructions burned: 24 (million)
% 2.26/0.91 % (3219631)------------------------------
% 2.26/0.91 % (3219631)------------------------------
% 2.26/0.91 % (3219623)Success in time 0.289 s
% 2.26/0.91 % Vampire exiting
%------------------------------------------------------------------------------