%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC056-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 01:02:14 PM UTC 2026
% Result : Unsatisfiable 9.46s 2.48s
% Output : Refutation 10.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 38
% Syntax : Number of formulae : 142 ( 21 unt; 10 def)
% Number of atoms : 448 ( 61 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 601 ( 295 ~; 297 |; 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 : 70 ( 0 sgn 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
fof(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f98,axiom,
! [X0,X1] :
( cons(X0,X1) != nil
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f99,plain,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(reorient_equations,[],[f98]) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f118,axiom,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) = cons(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f126,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(reorient_equations,[],[f125]) ).
fof(f182,axiom,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
fof(f186,axiom,
! [X2,X3,X0,X1] :
( segmentP(app(app(X3,X0),X2),X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
fof(f187,axiom,
! [X2,X3,X0,X1] :
( app(app(X0,X1),X2) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| segmentP(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
( ssItem(sk5)
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( ssItem(sk5)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,plain,
( sk3 = cons(sk5,nil)
| nil = sk4 ),
inference(reorient_equations,[],[f208]) ).
fof(f212,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f213,plain,
( sk3 = cons(sk5,nil)
| nil = sk3 ),
inference(reorient_equations,[],[f212]) ).
fof(f214,negated_conjecture,
( memberP(sk4,sk5)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f217,negated_conjecture,
! [X0] :
( nil = sk2
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f218,negated_conjecture,
( nil != sk1
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f219,negated_conjecture,
! [X0] :
( nil != sk1
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f223,plain,
! [X0] :
( nil = sk4
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(definition_unfolding,[],[f217,f204,f204,f205]) ).
fof(f224,plain,
( nil != sk3
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f218,f205,f204]) ).
fof(f225,plain,
! [X0] :
( nil != sk3
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(definition_unfolding,[],[f219,f205,f204,f205]) ).
fof(f232,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f118]) ).
fof(f240,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,
sF0 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f251,plain,
cons(sk5,nil) = sF0,
inference(reorient_equations,[],[f250]) ).
fof(f252,plain,
( sk3 = sF0
| nil = sk4 ),
inference(definition_folding,[],[f209,f251]) ).
fof(f253,plain,
( sk3 = sF0
| nil = sk3 ),
inference(definition_folding,[],[f213,f251]) ).
fof(f258,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f232]) ).
fof(f261,definition,
( spl1_1
<=> ! [X0] :
( ~ ssList(X0)
| ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f262,plain,
( ! [X0] :
( ~ neq(X0,nil)
| ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ ssList(X0) )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f264,definition,
( spl1_2
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f265,plain,
( nil = sk3
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f266,plain,
( nil != sk3
| spl1_2 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f267,plain,
( spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f225,f264,f261]) ).
fof(f269,definition,
( spl1_3
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f271,plain,
( neq(sk4,nil)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f272,plain,
( spl1_3
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f224,f264,f269]) ).
fof(f274,definition,
( spl1_4
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f276,plain,
( nil = sk4
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f277,plain,
( spl1_1
| spl1_4 ),
inference(avatar_split_clause,[],[f223,f274,f261]) ).
fof(f284,definition,
( spl1_6
<=> memberP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
fof(f286,plain,
( memberP(sk4,sk5)
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f287,plain,
( spl1_2
| spl1_6 ),
inference(avatar_split_clause,[],[f214,f284,f264]) ).
fof(f289,definition,
( spl1_7
<=> sk3 = sF0 ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
fof(f291,plain,
( sk3 = sF0
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f292,plain,
( spl1_2
| spl1_7 ),
inference(avatar_split_clause,[],[f253,f289,f264]) ).
fof(f295,plain,
( spl1_4
| spl1_7 ),
inference(avatar_split_clause,[],[f252,f289,f274]) ).
fof(f297,definition,
( spl1_8
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
fof(f299,plain,
( ssItem(sk5)
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f300,plain,
( spl1_2
| spl1_8 ),
inference(avatar_split_clause,[],[f207,f297,f264]) ).
fof(f301,plain,
( spl1_4
| spl1_8 ),
inference(avatar_split_clause,[],[f206,f297,f274]) ).
fof(f307,definition,
( spl1_10
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
fof(f308,plain,
( ssList(nil)
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f343,plain,
spl1_10,
inference(avatar_split_clause,[],[f8,f307]) ).
fof(f345,plain,
( memberP(nil,sk5)
| ~ spl1_4
| ~ spl1_6 ),
inference(forward_demodulation,[],[f286,f276]) ).
fof(f346,plain,
( ~ ssItem(sk5)
| ~ spl1_4
| ~ spl1_6 ),
inference(resolution,[],[f71,f345]) ).
fof(f347,plain,
( $false
| ~ spl1_4
| ~ spl1_6
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f346,f299]) ).
fof(f348,plain,
( ~ spl1_4
| ~ spl1_6
| ~ spl1_8 ),
inference(avatar_contradiction_clause,[],[f347]) ).
fof(f350,plain,
( neq(nil,nil)
| ~ spl1_3
| ~ spl1_4 ),
inference(forward_demodulation,[],[f271,f276]) ).
fof(f357,plain,
( nil != sF0
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[],[f99,f251]) ).
fof(f358,plain,
( ~ ssList(nil)
| ~ spl1_3
| ~ spl1_4 ),
inference(resolution,[],[f258,f350]) ).
fof(f359,plain,
( $false
| ~ spl1_3
| ~ spl1_4
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f358,f308]) ).
fof(f360,plain,
( ~ spl1_3
| ~ spl1_4
| ~ spl1_10 ),
inference(avatar_contradiction_clause,[],[f359]) ).
fof(f361,plain,
( nil != sF0
| ~ ssList(nil)
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f357,f299]) ).
fof(f363,plain,
( nil != sF0
| ~ spl1_8
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f361,f308]) ).
fof(f364,plain,
( nil != sk3
| ~ spl1_7
| ~ spl1_8
| ~ spl1_10 ),
inference(forward_demodulation,[],[f363,f291]) ).
fof(f365,plain,
( $false
| ~ spl1_2
| ~ spl1_7
| ~ spl1_8
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f364,f265]) ).
fof(f366,plain,
( ~ spl1_2
| ~ spl1_7
| ~ spl1_8
| ~ spl1_10 ),
inference(avatar_contradiction_clause,[],[f365]) ).
fof(f379,plain,
sk3 = app(nil,sk3),
inference(resolution,[],[f202,f74]) ).
fof(f384,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f203,f73]) ).
fof(f386,plain,
! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(app(sk3,X0))
| ~ ssList(X0) ),
inference(superposition,[],[f240,f379]) ).
fof(f387,plain,
! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f386,f85]) ).
fof(f388,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(sk3)
| ~ ssList(X0) )
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f387,f308]) ).
fof(f389,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(X0) )
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f388,f202]) ).
fof(f393,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil = X0
| ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ ssList(X0) )
| ~ spl1_1 ),
inference(resolution,[],[f102,f262]) ).
fof(f394,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil = X0
| ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0) )
| ~ spl1_1 ),
inference(duplicate_literal_removal,[],[f393]) ).
fof(f396,plain,
( ! [X0] :
( ~ segmentP(sk4,X0)
| nil = X0
| ~ segmentP(sk3,X0)
| ~ ssList(X0) )
| ~ spl1_1
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f394,f308]) ).
fof(f413,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk5,X0) = app(cons(sk5,nil),X0) )
| ~ spl1_8 ),
inference(resolution,[],[f126,f299]) ).
fof(f414,plain,
( ! [X0] :
( cons(sk5,X0) = app(sF0,X0)
| ~ ssList(X0) )
| ~ spl1_8 ),
inference(forward_demodulation,[],[f413,f251]) ).
fof(f415,plain,
( ! [X0] :
( ~ ssList(X0)
| app(sk3,X0) = cons(sk5,X0) )
| ~ spl1_7
| ~ spl1_8 ),
inference(forward_demodulation,[],[f414,f291]) ).
fof(f423,plain,
( ~ ssItem(sk5)
| ~ ssList(sk4)
| sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_6 ),
inference(resolution,[],[f182,f286]) ).
fof(f424,plain,
( ~ ssList(sk4)
| sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_6
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f423,f299]) ).
fof(f425,plain,
( sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_6
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f424,f203]) ).
fof(f430,definition,
( spl1_18
<=> ssList(cons(sk5,skaf43(sk5,sk4))) ),
introduced(definition,[new_symbols(definition,[spl1_18])],[avatar_definition]) ).
fof(f431,plain,
( ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_18 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f432,plain,
( ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| spl1_18 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f437,plain,
( ~ ssList(skaf43(sk5,sk4))
| ~ ssItem(sk5)
| spl1_18 ),
inference(resolution,[],[f432,f86]) ).
fof(f438,plain,
( ~ ssItem(sk5)
| spl1_18 ),
inference(forward_subsumption_resolution,[],[f437,f52]) ).
fof(f439,plain,
( $false
| ~ spl1_8
| spl1_18 ),
inference(forward_subsumption_resolution,[],[f438,f299]) ).
fof(f440,plain,
( ~ spl1_8
| spl1_18 ),
inference(avatar_contradiction_clause,[],[f439]) ).
fof(f450,plain,
( ! [X0,X1] : app(sk3,skaf43(X0,X1)) = cons(sk5,skaf43(X0,X1))
| ~ spl1_7
| ~ spl1_8 ),
inference(resolution,[],[f52,f415]) ).
fof(f492,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_6
| ~ spl1_8 ),
inference(superposition,[],[f186,f425]) ).
fof(f497,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_6
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f492,f53]) ).
fof(f502,plain,
( ! [X0,X1] :
( segmentP(app(sk4,X0),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1) )
| ~ spl1_6
| ~ spl1_8
| ~ spl1_18 ),
inference(forward_subsumption_resolution,[],[f497,f431]) ).
fof(f505,plain,
( ! [X0,X1] :
( ~ segmentP(app(sk3,skaf43(sk5,sk4)),X1)
| segmentP(app(sk4,X0),X1)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_18 ),
inference(forward_demodulation,[],[f502,f450]) ).
fof(f507,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(skaf43(sk5,sk4)) )
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_10
| ~ spl1_18 ),
inference(resolution,[],[f505,f389]) ).
fof(f511,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(X0)
| ~ ssList(skaf43(sk5,sk4)) )
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_10
| ~ spl1_18 ),
inference(forward_subsumption_resolution,[],[f507,f202]) ).
fof(f512,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(X0) )
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_10
| ~ spl1_18 ),
inference(forward_subsumption_resolution,[],[f511,f52]) ).
fof(f513,plain,
( segmentP(sk4,sk3)
| ~ ssList(nil)
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_10
| ~ spl1_18 ),
inference(superposition,[],[f512,f384]) ).
fof(f514,plain,
( segmentP(sk4,sk3)
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_10
| ~ spl1_18 ),
inference(forward_subsumption_resolution,[],[f513,f308]) ).
fof(f515,plain,
( nil = sk3
| ~ segmentP(sk3,sk3)
| ~ ssList(sk3)
| ~ spl1_1
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_10
| ~ spl1_18 ),
inference(resolution,[],[f514,f396]) ).
fof(f516,plain,
( nil = sk3
| ~ ssList(sk3)
| ~ spl1_1
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_10
| ~ spl1_18 ),
inference(forward_subsumption_resolution,[],[f515,f57]) ).
fof(f517,plain,
( ~ ssList(sk3)
| ~ spl1_1
| spl1_2
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_10
| ~ spl1_18 ),
inference(forward_subsumption_resolution,[],[f516,f266]) ).
fof(f518,plain,
( $false
| ~ spl1_1
| spl1_2
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_10
| ~ spl1_18 ),
inference(forward_subsumption_resolution,[],[f517,f202]) ).
fof(f519,plain,
( ~ spl1_1
| spl1_2
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_10
| ~ spl1_18 ),
inference(avatar_contradiction_clause,[],[f518]) ).
cnf(s1,plain,
( spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f267]) ).
cnf(s2,plain,
( ~ spl1_2
| spl1_3 ),
inference(sat_conversion,[],[f272]) ).
cnf(s3,plain,
( spl1_1
| spl1_4 ),
inference(sat_conversion,[],[f277]) ).
cnf(s6,plain,
( spl1_2
| spl1_6 ),
inference(sat_conversion,[],[f287]) ).
cnf(s7,plain,
( spl1_2
| spl1_7 ),
inference(sat_conversion,[],[f292]) ).
cnf(s10,plain,
( spl1_4
| spl1_7 ),
inference(sat_conversion,[],[f295]) ).
cnf(s11,plain,
( spl1_2
| spl1_8 ),
inference(sat_conversion,[],[f300]) ).
cnf(s12,plain,
( spl1_4
| spl1_8 ),
inference(sat_conversion,[],[f301]) ).
cnf(s22,plain,
spl1_10,
inference(sat_conversion,[],[f343]) ).
cnf(s23,plain,
( ~ spl1_4
| ~ spl1_6
| ~ spl1_8 ),
inference(sat_conversion,[],[f348]) ).
cnf(s26,plain,
( ~ spl1_3
| ~ spl1_4
| ~ spl1_10 ),
inference(sat_conversion,[],[f360]) ).
cnf(s27,plain,
( ~ spl1_2
| ~ spl1_7
| ~ spl1_8
| ~ spl1_10 ),
inference(sat_conversion,[],[f366]) ).
cnf(s29,plain,
( ~ spl1_8
| spl1_18 ),
inference(sat_conversion,[],[f440]) ).
cnf(s30,plain,
( ~ spl1_1
| spl1_2
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_10
| ~ spl1_18 ),
inference(sat_conversion,[],[f519]) ).
cnf(s35,plain,
spl1_1,
inference(rat,[],[s23,s6,s11,s1,s3]) ).
cnf(s36,plain,
spl1_2,
inference(rat,[],[s30,s29,s6,s7,s11,s35,s22]) ).
cnf(s37,plain,
spl1_3,
inference(rat,[],[s2,s36]) ).
cnf(s38,plain,
~ spl1_4,
inference(rat,[],[s26,s22,s37]) ).
cnf(s39,plain,
spl1_8,
inference(rat,[],[s12,s38]) ).
cnf(s40,plain,
spl1_7,
inference(rat,[],[s10,s38]) ).
cnf(s44,plain,
$false,
inference(rat,[],[s27,s22,s36,s39,s40]) ).
fof(f520,plain,
$false,
inference(avatar_sat_refutation,[],[s44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC056-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.42 % Computer : n002.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 28 07:41:07 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.48 Running first-order theorem proving
% 0.23/0.48 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.46/2.48 % (189740)Input is clausal, will run a generic CNF schedule.
% 9.46/2.48 % (189752)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2762819412:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.46/2.48 % (189754)lrs+10_1_sil=8000:sp=occurrence:random_seed=2772389385:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.46/2.48 % (189753)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3296167420:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.46/2.48 % (189751)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=3238717399:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.46/2.48 % (189756)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1877967960:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.46/2.48 % (189755)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3508537222:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.46/2.48 % (189757)dis-21_1_sil=8000:lcm=predicate:random_seed=278435808: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)
% 9.46/2.48 % (189754)Instruction limit reached!
% 9.46/2.48 % (189754)------------------------------
% 9.46/2.48 % (189754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.46/2.48 % (189754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.46/2.48 % (189754)CaDiCaL version: 2.1.3
% 9.46/2.48 % (189754)Termination reason: Instruction limit
% 9.46/2.48 % (189754)Termination phase: Saturation
% 9.46/2.48 % (189754)Time elapsed: 0.070 s
% 9.46/2.48 % (189754)Peak memory usage: 89 MB
% 9.46/2.48 % (189754)Instructions burned: 108 (million)
% 9.46/2.48 % (189757)Instruction limit reached!
% 9.46/2.48 % (189757)------------------------------
% 9.46/2.48 % (189757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.46/2.48 % (189757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.46/2.48 % (189757)CaDiCaL version: 2.1.3
% 9.46/2.48 % (189757)Termination reason: Instruction limit
% 9.46/2.48 % (189757)Termination phase: Saturation
% 9.46/2.48 % (189757)Time elapsed: 0.098 s
% 9.46/2.48 % (189757)Peak memory usage: 89 MB
% 9.46/2.48 % (189757)Instructions burned: 117 (million)
% 9.46/2.48 % (189755)Instruction limit reached!
% 9.46/2.48 % (189755)------------------------------
% 9.46/2.48 % (189755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.46/2.48 % (189755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.46/2.48 % (189755)CaDiCaL version: 2.1.3
% 9.46/2.48 % (189755)Termination reason: Instruction limit
% 9.46/2.48 % (189755)Termination phase: Saturation
% 9.46/2.48 % (189755)Time elapsed: 0.119 s
% 9.46/2.48 % (189755)Peak memory usage: 89 MB
% 9.46/2.48 % (189755)Instructions burned: 114 (million)
% 9.46/2.48 % (189756)Instruction limit reached!
% 9.46/2.48 % (189756)------------------------------
% 9.46/2.48 % (189756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.46/2.48 % (189756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.46/2.48 % (189756)CaDiCaL version: 2.1.3
% 9.46/2.48 % (189756)Termination reason: Instruction limit
% 9.46/2.48 % (189756)Termination phase: Saturation
% 9.46/2.48 % (189756)Time elapsed: 0.184 s
% 9.46/2.48 % (189756)Peak memory usage: 90 MB
% 9.46/2.48 % (189756)Instructions burned: 181 (million)
% 9.46/2.48 % (189767)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=1673539369:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 9.46/2.48 % (189768)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=37447422:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 9.46/2.48 % (189769)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1873163278:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 9.46/2.48 % (189767)Instruction limit reached!
% 9.46/2.48 % (189767)------------------------------
% 9.46/2.48 % (189767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.46/2.48 % (189767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.46/2.48 % (189767)CaDiCaL version: 2.1.3
% 9.46/2.48 % (189767)Termination reason: Instruction limit
% 9.46/2.48 % (189767)Termination phase: Saturation
% 9.46/2.48 % (189767)Time elapsed: 0.151 s
% 9.46/2.48 % (189767)Peak memory usage: 89 MB
% 9.46/2.48 % (189767)Instructions burned: 143 (million)
% 9.46/2.48 % (189770)lrs+10_64_to=lpo:sil=8000:random_seed=2277920628:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 9.46/2.48 % (189768)Instruction limit reached!
% 9.46/2.48 % (189768)------------------------------
% 9.46/2.48 % (189768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.46/2.48 % (189768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.46/2.48 % (189768)CaDiCaL version: 2.1.3
% 9.46/2.48 % (189768)Termination reason: Instruction limit
% 9.46/2.48 % (189768)Termination phase: Saturation
% 9.46/2.48 % (189768)Time elapsed: 0.151 s
% 9.46/2.48 % (189768)Peak memory usage: 91 MB
% 9.46/2.48 % (189768)Instructions burned: 189 (million)
% 9.46/2.48 % (189770)Instruction limit reached!
% 9.46/2.48 % (189770)------------------------------
% 9.46/2.48 % (189770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.46/2.48 % (189770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.46/2.48 % (189770)CaDiCaL version: 2.1.3
% 9.46/2.48 % (189770)Termination reason: Instruction limit
% 9.46/2.48 % (189770)Termination phase: Saturation
% 9.46/2.48 % (189770)Time elapsed: 0.122 s
% 9.46/2.48 % (189770)Peak memory usage: 90 MB
% 9.46/2.48 % (189770)Instructions burned: 127 (million)
% 9.46/2.48 % (189769)Instruction limit reached!
% 9.46/2.48 % (189769)------------------------------
% 9.46/2.48 % (189769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.46/2.48 % (189769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.46/2.48 % (189769)CaDiCaL version: 2.1.3
% 9.46/2.48 % (189769)Termination reason: Instruction limit
% 9.46/2.48 % (189769)Termination phase: Saturation
% 9.46/2.48 % (189769)Time elapsed: 0.205 s
% 9.46/2.48 % (189769)Peak memory usage: 90 MB
% 9.46/2.48 % (189769)Instructions burned: 220 (million)
% 9.46/2.48 % (189774)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3873378934:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 9.46/2.48 % (189776)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=949023443:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 9.46/2.48 % (189774)Instruction limit reached!
% 9.46/2.48 % (189774)------------------------------
% 9.46/2.48 % (189774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.46/2.48 % (189774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.46/2.48 % (189774)CaDiCaL version: 2.1.3
% 9.46/2.48 % (189774)Termination reason: Instruction limit
% 9.46/2.48 % (189774)Termination phase: Saturation
% 9.46/2.48 % (189774)Time elapsed: 0.104 s
% 9.46/2.48 % (189774)Peak memory usage: 91 MB
% 9.46/2.48 % (189774)Instructions burned: 194 (million)
% 9.46/2.48 % (189777)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2702512135:i=3394:sd=4:ss=included:sgt=64_2992 on theBenchmark for (2992ds/3394Mi)
% 9.46/2.48 % (189776)Instruction limit reached!
% 9.46/2.48 % (189776)------------------------------
% 9.46/2.48 % (189776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.46/2.48 % (189776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.46/2.48 % (189776)CaDiCaL version: 2.1.3
% 9.46/2.48 % (189776)Termination reason: Instruction limit
% 9.46/2.48 % (189776)Termination phase: Saturation
% 9.46/2.48 % (189776)Time elapsed: 0.151 s
% 9.46/2.48 % (189776)Peak memory usage: 91 MB
% 9.46/2.48 % (189776)Instructions burned: 157 (million)
% 9.46/2.48 % (189778)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=3245165769:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 9.46/2.48 % (189781)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3644661674:i=107_2991 on theBenchmark for (2991ds/107Mi)
% 9.46/2.48 % (189778)Instruction limit reached!
% 9.46/2.48 % (189778)------------------------------
% 9.46/2.48 % (189778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.46/2.48 % (189778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.46/2.48 % (189778)CaDiCaL version: 2.1.3
% 9.46/2.48 % (189778)Termination reason: Instruction limit
% 9.46/2.48 % (189778)Termination phase: Saturation
% 9.46/2.48 % (189778)Time elapsed: 0.099 s
% 9.46/2.48 % (189778)Peak memory usage: 90 MB
% 9.46/2.48 % (189778)Instructions burned: 106 (million)
% 9.46/2.48 % (189751)First to succeed.
% 9.46/2.48 % (189751)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-189740"
% 9.46/2.48 % (189781)Instruction limit reached!
% 9.46/2.48 % (189781)------------------------------
% 9.46/2.48 % (189781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.46/2.48 % (189781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.46/2.48 % (189781)CaDiCaL version: 2.1.3
% 9.46/2.48 % (189781)Termination reason: Instruction limit
% 9.46/2.48 % (189781)Termination phase: Saturation
% 9.46/2.48 % (189781)Time elapsed: 0.112 s
% 9.46/2.48 % (189781)Peak memory usage: 90 MB
% 9.46/2.48 % (189781)Instructions burned: 107 (million)
% 9.46/2.48 % (189783)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1932713705:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2989 on theBenchmark for (2989ds/242Mi)
% 9.46/2.48 % (189786)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3107030617:cond=fast:i=5208:av=off_2988 on theBenchmark for (2988ds/5208Mi)
% 9.46/2.48 % (189753)Also succeeded, but the first one will report.
% 9.46/2.48 % (189751)Refutation found. Thanks to Tanya!
% 9.46/2.48 % SZS status Unsatisfiable for theBenchmark
% 9.46/2.48 % SZS output start Proof for theBenchmark
% See solution above
% 10.97/2.75 % (189751)------------------------------
% 10.97/2.75 % (189751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.75 % (189751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.75 % (189751)CaDiCaL version: 2.1.3
% 10.97/2.75 % (189751)Termination reason: Refutation
% 10.97/2.75 % (189751)Time elapsed: 0.981 s
% 10.97/2.75 % (189751)Peak memory usage: 130 MB
% 10.97/2.75 % (189751)Instructions burned: 1011 (million)
% 10.97/2.75 % (189751)------------------------------
% 10.97/2.75 % (189751)------------------------------
% 10.97/2.75 % (189740)Success in time 1.448 s
% 10.97/2.75 % Vampire exiting
%------------------------------------------------------------------------------