%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC390-1 : 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 : n018.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 01:03:46 PM UTC 2026
% Result : Unsatisfiable 5.61s 1.47s
% Output : Refutation 7.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 37
% Syntax : Number of formulae : 136 ( 24 unt; 13 def)
% Number of atoms : 378 ( 38 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 465 ( 223 ~; 230 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 13 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 57 ( 0 sgn 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(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(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(f119,axiom,
! [X0,X1] :
( cons(X0,nil) != X1
| ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) = cons(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f126,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(reorient_equations,[],[f125]) ).
fof(f182,axiom,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
fof(f186,axiom,
! [X2,X3,X0,X1] :
( segmentP(app(app(X3,X0),X2),X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
fof(f187,axiom,
! [X2,X3,X0,X1] :
( app(app(X0,X1),X2) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| segmentP(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( cons(sk5,nil) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,plain,
( sk3 = cons(sk5,nil)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f208]) ).
fof(f210,negated_conjecture,
( memberP(sk4,sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f211,negated_conjecture,
( ~ segmentP(sk2,sk1)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f212,negated_conjecture,
( ~ segmentP(sk2,sk1)
| ~ singletonP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f215,plain,
( ~ segmentP(sk4,sk3)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f211,f204,f205,f204]) ).
fof(f216,plain,
( ~ segmentP(sk4,sk3)
| ~ singletonP(sk3) ),
inference(definition_unfolding,[],[f212,f204,f205,f205]) ).
fof(f217,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(equality_resolution,[],[f79]) ).
fof(f224,plain,
! [X0] :
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| singletonP(cons(X0,nil)) ),
inference(equality_resolution,[],[f119]) ).
fof(f231,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X2) ),
inference(equality_resolution,[],[f187]) ).
fof(f241,definition,
sF0 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f242,plain,
cons(sk5,nil) = sF0,
inference(reorient_equations,[],[f241]) ).
fof(f243,plain,
( sk3 = sF0
| ~ neq(sk4,nil) ),
inference(definition_folding,[],[f209,f242]) ).
fof(f251,definition,
( spl1_1
<=> singletonP(sk3) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f255,definition,
( spl1_2
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f257,plain,
( ~ segmentP(sk4,sk3)
| spl1_2 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f258,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f216,f255,f251]) ).
fof(f260,definition,
( spl1_3
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f261,plain,
( ~ neq(sk4,nil)
| spl1_3 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f263,plain,
( spl1_3
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f215,f255,f260]) ).
fof(f265,definition,
( spl1_4
<=> memberP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f267,plain,
( memberP(sk4,sk5)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f268,plain,
( ~ spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f210,f265,f260]) ).
fof(f270,definition,
( spl1_5
<=> sk3 = sF0 ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f272,plain,
( sk3 = sF0
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f273,plain,
( ~ spl1_3
| spl1_5 ),
inference(avatar_split_clause,[],[f243,f270,f260]) ).
fof(f275,definition,
( spl1_6
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
fof(f277,plain,
( ssItem(sk5)
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f278,plain,
( ~ spl1_3
| spl1_6 ),
inference(avatar_split_clause,[],[f207,f275,f260]) ).
fof(f280,definition,
( spl1_7
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
fof(f281,plain,
( nil = sk4
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f282,plain,
( nil != sk4
| spl1_7 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f284,definition,
( spl1_8
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
fof(f286,plain,
( nil = sk3
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f287,plain,
( ~ spl1_7
| spl1_8 ),
inference(avatar_split_clause,[],[f206,f284,f280]) ).
fof(f293,definition,
( spl1_10
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
fof(f294,plain,
( ssList(nil)
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f316,definition,
( spl1_15
<=> segmentP(nil,nil) ),
introduced(definition,[new_symbols(definition,[spl1_15])],[avatar_definition]) ).
fof(f318,plain,
( segmentP(nil,nil)
| ~ spl1_15 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f319,plain,
( spl1_15
| ~ spl1_10 ),
inference(avatar_split_clause,[],[f217,f293,f316]) ).
fof(f329,plain,
spl1_10,
inference(avatar_split_clause,[],[f8,f293]) ).
fof(f330,plain,
( ~ ssList(sF0)
| ~ ssItem(sk5)
| singletonP(sF0) ),
inference(superposition,[],[f224,f242]) ).
fof(f344,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl1_3 ),
inference(resolution,[],[f102,f261]) ).
fof(f345,plain,
( ~ ssList(nil)
| nil = sk4
| spl1_3 ),
inference(forward_subsumption_resolution,[],[f344,f203]) ).
fof(f346,plain,
( nil = sk4
| spl1_3
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f345,f294]) ).
fof(f347,plain,
( $false
| spl1_3
| spl1_7
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f346,f282]) ).
fof(f348,plain,
( spl1_3
| spl1_7
| ~ spl1_10 ),
inference(avatar_contradiction_clause,[],[f347]) ).
fof(f350,plain,
( ~ segmentP(sk4,nil)
| spl1_2
| ~ spl1_8 ),
inference(superposition,[],[f257,f286]) ).
fof(f351,plain,
( ~ segmentP(nil,nil)
| spl1_2
| ~ spl1_7
| ~ spl1_8 ),
inference(forward_demodulation,[],[f350,f281]) ).
fof(f352,plain,
( $false
| spl1_2
| ~ spl1_7
| ~ spl1_8
| ~ spl1_15 ),
inference(forward_subsumption_resolution,[],[f351,f318]) ).
fof(f353,plain,
( spl1_2
| ~ spl1_7
| ~ spl1_8
| ~ spl1_15 ),
inference(avatar_contradiction_clause,[],[f352]) ).
fof(f372,plain,
( ~ ssList(sF0)
| singletonP(sF0)
| ~ spl1_6 ),
inference(forward_subsumption_resolution,[],[f330,f277]) ).
fof(f374,plain,
( ~ ssList(sk3)
| singletonP(sF0)
| ~ spl1_5
| ~ spl1_6 ),
inference(forward_demodulation,[],[f372,f272]) ).
fof(f376,plain,
( singletonP(sF0)
| ~ spl1_5
| ~ spl1_6 ),
inference(forward_subsumption_resolution,[],[f374,f202]) ).
fof(f378,plain,
( singletonP(sk3)
| ~ spl1_5
| ~ spl1_6 ),
inference(forward_demodulation,[],[f376,f272]) ).
fof(f379,plain,
( spl1_1
| ~ spl1_5
| ~ spl1_6 ),
inference(avatar_split_clause,[],[f378,f275,f270,f251]) ).
fof(f382,plain,
sk3 = app(nil,sk3),
inference(resolution,[],[f74,f202]) ).
fof(f391,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f73,f203]) ).
fof(f392,plain,
! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(app(sk3,X0))
| ~ ssList(X0) ),
inference(superposition,[],[f231,f382]) ).
fof(f393,plain,
! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f392,f85]) ).
fof(f394,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(sk3)
| ~ ssList(X0) )
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f393,f294]) ).
fof(f395,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(X0) )
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f394,f202]) ).
fof(f402,plain,
( ~ ssItem(sk5)
| ~ ssList(sk4)
| sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_4 ),
inference(resolution,[],[f182,f267]) ).
fof(f403,plain,
( ~ ssList(sk4)
| sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_4
| ~ spl1_6 ),
inference(forward_subsumption_resolution,[],[f402,f277]) ).
fof(f404,plain,
( sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_4
| ~ spl1_6 ),
inference(forward_subsumption_resolution,[],[f403,f203]) ).
fof(f423,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk5,X0) = app(cons(sk5,nil),X0) )
| ~ spl1_6 ),
inference(resolution,[],[f126,f277]) ).
fof(f424,plain,
( ! [X0] :
( cons(sk5,X0) = app(sF0,X0)
| ~ ssList(X0) )
| ~ spl1_6 ),
inference(forward_demodulation,[],[f423,f242]) ).
fof(f425,plain,
( ! [X0] :
( ~ ssList(X0)
| app(sk3,X0) = cons(sk5,X0) )
| ~ spl1_5
| ~ spl1_6 ),
inference(forward_demodulation,[],[f424,f272]) ).
fof(f432,plain,
( ! [X0,X1] :
( segmentP(app(sk4,X0),X1)
| ~ ssList(X0)
| ~ ssList(skaf42(sk4,sk5))
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1) )
| ~ spl1_4
| ~ spl1_6 ),
inference(superposition,[],[f186,f404]) ).
fof(f435,plain,
( ! [X0,X1] :
( segmentP(app(sk4,X0),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1) )
| ~ spl1_4
| ~ spl1_6 ),
inference(forward_subsumption_resolution,[],[f432,f53]) ).
fof(f437,definition,
( spl1_20
<=> ssList(cons(sk5,skaf43(sk5,sk4))) ),
introduced(definition,[new_symbols(definition,[spl1_20])],[avatar_definition]) ).
fof(f439,plain,
( ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| spl1_20 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f445,definition,
( spl1_22
<=> ! [X0,X1] :
( segmentP(app(sk4,X0),X1)
| ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl1_22])],[avatar_definition]) ).
fof(f446,plain,
( ! [X0,X1] :
( ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1)
| segmentP(app(sk4,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl1_22 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f447,plain,
( ~ spl1_20
| spl1_22
| ~ spl1_4
| ~ spl1_6 ),
inference(avatar_split_clause,[],[f435,f275,f265,f445,f437]) ).
fof(f448,plain,
( ~ ssList(skaf43(sk5,sk4))
| ~ ssItem(sk5)
| spl1_20 ),
inference(resolution,[],[f439,f86]) ).
fof(f449,plain,
( ~ ssItem(sk5)
| spl1_20 ),
inference(forward_subsumption_resolution,[],[f448,f52]) ).
fof(f450,plain,
( $false
| ~ spl1_6
| spl1_20 ),
inference(forward_subsumption_resolution,[],[f449,f277]) ).
fof(f451,plain,
( ~ spl1_6
| spl1_20 ),
inference(avatar_contradiction_clause,[],[f450]) ).
fof(f468,plain,
( ! [X0,X1] : app(sk3,skaf43(X0,X1)) = cons(sk5,skaf43(X0,X1))
| ~ spl1_5
| ~ spl1_6 ),
inference(resolution,[],[f52,f425]) ).
fof(f472,plain,
( ! [X0,X1] :
( ~ segmentP(app(sk3,skaf43(sk5,sk4)),X0)
| segmentP(app(sk4,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl1_5
| ~ spl1_6
| ~ spl1_22 ),
inference(superposition,[],[f446,f468]) ).
fof(f480,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(skaf43(sk5,sk4)) )
| ~ spl1_5
| ~ spl1_6
| ~ spl1_10
| ~ spl1_22 ),
inference(resolution,[],[f472,f395]) ).
fof(f484,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(X0)
| ~ ssList(skaf43(sk5,sk4)) )
| ~ spl1_5
| ~ spl1_6
| ~ spl1_10
| ~ spl1_22 ),
inference(forward_subsumption_resolution,[],[f480,f202]) ).
fof(f485,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(X0) )
| ~ spl1_5
| ~ spl1_6
| ~ spl1_10
| ~ spl1_22 ),
inference(forward_subsumption_resolution,[],[f484,f52]) ).
fof(f486,plain,
( segmentP(sk4,sk3)
| ~ ssList(nil)
| ~ spl1_5
| ~ spl1_6
| ~ spl1_10
| ~ spl1_22 ),
inference(superposition,[],[f485,f391]) ).
fof(f487,plain,
( ~ ssList(nil)
| spl1_2
| ~ spl1_5
| ~ spl1_6
| ~ spl1_10
| ~ spl1_22 ),
inference(forward_subsumption_resolution,[],[f486,f257]) ).
fof(f488,plain,
( $false
| spl1_2
| ~ spl1_5
| ~ spl1_6
| ~ spl1_10
| ~ spl1_22 ),
inference(forward_subsumption_resolution,[],[f487,f294]) ).
fof(f489,plain,
( spl1_2
| ~ spl1_5
| ~ spl1_6
| ~ spl1_10
| ~ spl1_22 ),
inference(avatar_contradiction_clause,[],[f488]) ).
cnf(s1,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f258]) ).
cnf(s2,plain,
( ~ spl1_2
| spl1_3 ),
inference(sat_conversion,[],[f263]) ).
cnf(s3,plain,
( ~ spl1_3
| spl1_4 ),
inference(sat_conversion,[],[f268]) ).
cnf(s4,plain,
( ~ spl1_3
| spl1_5 ),
inference(sat_conversion,[],[f273]) ).
cnf(s5,plain,
( ~ spl1_3
| spl1_6 ),
inference(sat_conversion,[],[f278]) ).
cnf(s6,plain,
( ~ spl1_7
| spl1_8 ),
inference(sat_conversion,[],[f287]) ).
cnf(s12,plain,
( ~ spl1_10
| spl1_15 ),
inference(sat_conversion,[],[f319]) ).
cnf(s16,plain,
spl1_10,
inference(sat_conversion,[],[f329]) ).
cnf(s18,plain,
( spl1_3
| spl1_7
| ~ spl1_10 ),
inference(sat_conversion,[],[f348]) ).
cnf(s19,plain,
( spl1_2
| ~ spl1_7
| ~ spl1_8
| ~ spl1_15 ),
inference(sat_conversion,[],[f353]) ).
cnf(s23,plain,
( spl1_1
| ~ spl1_5
| ~ spl1_6 ),
inference(sat_conversion,[],[f379]) ).
cnf(s25,plain,
( ~ spl1_4
| ~ spl1_6
| ~ spl1_20
| spl1_22 ),
inference(sat_conversion,[],[f447]) ).
cnf(s26,plain,
( ~ spl1_6
| spl1_20 ),
inference(sat_conversion,[],[f451]) ).
cnf(s27,plain,
( spl1_2
| ~ spl1_5
| ~ spl1_6
| ~ spl1_10
| ~ spl1_22 ),
inference(sat_conversion,[],[f489]) ).
cnf(s28,plain,
spl1_15,
inference(rat,[],[s12,s16]) ).
cnf(s33,plain,
( ~ spl1_3
| spl1_1 ),
inference(rat,[],[s23,s4,s5]) ).
cnf(s34,plain,
spl1_3,
inference(rat,[],[s19,s6,s2,s18,s28,s16]) ).
cnf(s35,plain,
spl1_6,
inference(rat,[],[s5,s34]) ).
cnf(s36,plain,
spl1_5,
inference(rat,[],[s4,s34]) ).
cnf(s37,plain,
spl1_4,
inference(rat,[],[s3,s34]) ).
cnf(s38,plain,
spl1_1,
inference(rat,[],[s33,s34]) ).
cnf(s39,plain,
spl1_20,
inference(rat,[],[s26,s35]) ).
cnf(s42,plain,
spl1_22,
inference(rat,[],[s25,s35,s39,s37]) ).
cnf(s44,plain,
~ spl1_2,
inference(rat,[],[s1,s38]) ).
cnf(s46,plain,
$false,
inference(rat,[],[s27,s35,s16,s36,s44,s42]) ).
fof(f490,plain,
$false,
inference(avatar_sat_refutation,[],[s46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC390-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.19 % Computer : n018.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Mon Sep 28 09:28:24 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.22 Running first-order theorem proving
% 0.11/0.23 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
% 5.61/1.47 % (3250472)Input is clausal, will run a generic CNF schedule.
% 5.61/1.47 % (3250499)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=235376377:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.61/1.47 % (3250497)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2484402974:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.61/1.47 % (3250495)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=4109196417:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.61/1.47 % (3250498)lrs+10_1_sil=8000:sp=occurrence:random_seed=1235479948:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.61/1.47 % (3250496)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3347194601:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.61/1.47 % (3250499)Instruction limit reached!
% 5.61/1.47 % (3250499)------------------------------
% 5.61/1.47 % (3250499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.47 % (3250499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.47 % (3250499)CaDiCaL version: 2.1.3
% 5.61/1.47 % (3250499)Termination reason: Instruction limit
% 5.61/1.47 % (3250499)Termination phase: Saturation
% 5.61/1.47 % (3250499)Time elapsed: 0.037 s
% 5.61/1.47 % (3250499)Peak memory usage: 89 MB
% 5.61/1.47 % (3250499)Instructions burned: 114 (million)
% 5.61/1.47 % (3250500)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2900614869:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.61/1.47 % (3250501)dis-21_1_sil=8000:lcm=predicate:random_seed=2964453523: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)
% 5.61/1.47 % (3250498)Instruction limit reached!
% 5.61/1.47 % (3250498)------------------------------
% 5.61/1.47 % (3250498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.47 % (3250498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.47 % (3250498)CaDiCaL version: 2.1.3
% 5.61/1.47 % (3250498)Termination reason: Instruction limit
% 5.61/1.47 % (3250498)Termination phase: Saturation
% 5.61/1.47 % (3250498)Time elapsed: 0.068 s
% 5.61/1.47 % (3250498)Peak memory usage: 89 MB
% 5.61/1.47 % (3250498)Instructions burned: 109 (million)
% 5.61/1.47 % (3250501)Instruction limit reached!
% 5.61/1.47 % (3250501)------------------------------
% 5.61/1.47 % (3250501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.47 % (3250501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.47 % (3250501)CaDiCaL version: 2.1.3
% 5.61/1.47 % (3250501)Termination reason: Instruction limit
% 5.61/1.47 % (3250501)Termination phase: Saturation
% 5.61/1.47 % (3250501)Time elapsed: 0.050 s
% 5.61/1.47 % (3250501)Peak memory usage: 88 MB
% 5.61/1.47 % (3250501)Instructions burned: 118 (million)
% 5.61/1.47 % (3250507)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=1890815506:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 5.61/1.47 % (3250500)Instruction limit reached!
% 5.61/1.47 % (3250500)------------------------------
% 5.61/1.47 % (3250500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.47 % (3250500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.47 % (3250500)CaDiCaL version: 2.1.3
% 5.61/1.47 % (3250500)Termination reason: Instruction limit
% 5.61/1.47 % (3250500)Termination phase: Saturation
% 5.61/1.47 % (3250500)Time elapsed: 0.124 s
% 5.61/1.47 % (3250500)Peak memory usage: 90 MB
% 5.61/1.47 % (3250500)Instructions burned: 181 (million)
% 5.61/1.47 % (3250507)Instruction limit reached!
% 5.61/1.47 % (3250507)------------------------------
% 5.61/1.47 % (3250507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.47 % (3250507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.47 % (3250507)CaDiCaL version: 2.1.3
% 5.61/1.47 % (3250507)Termination reason: Instruction limit
% 5.61/1.47 % (3250507)Termination phase: Saturation
% 5.61/1.47 % (3250507)Time elapsed: 0.050 s
% 5.61/1.47 % (3250507)Peak memory usage: 89 MB
% 5.61/1.47 % (3250507)Instructions burned: 144 (million)
% 5.61/1.47 % (3250510)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2457756163: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)
% 5.61/1.47 % (3250511)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3440289805:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.61/1.47 % (3250514)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3796585207:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 5.61/1.47 % (3250513)lrs+10_64_to=lpo:sil=8000:random_seed=1536018729:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.61/1.47 % (3250510)Instruction limit reached!
% 5.61/1.47 % (3250510)------------------------------
% 5.61/1.47 % (3250510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.47 % (3250510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.47 % (3250510)CaDiCaL version: 2.1.3
% 5.61/1.47 % (3250510)Termination reason: Instruction limit
% 5.61/1.47 % (3250510)Termination phase: Saturation
% 5.61/1.47 % (3250510)Time elapsed: 0.099 s
% 5.61/1.47 % (3250510)Peak memory usage: 91 MB
% 5.61/1.47 % (3250510)Instructions burned: 190 (million)
% 5.61/1.47 % (3250513)Instruction limit reached!
% 5.61/1.47 % (3250513)------------------------------
% 5.61/1.47 % (3250513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.47 % (3250513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.47 % (3250513)CaDiCaL version: 2.1.3
% 5.61/1.47 % (3250513)Termination reason: Instruction limit
% 5.61/1.47 % (3250513)Termination phase: Saturation
% 5.61/1.47 % (3250513)Time elapsed: 0.064 s
% 5.61/1.47 % (3250513)Peak memory usage: 90 MB
% 5.61/1.47 % (3250513)Instructions burned: 127 (million)
% 5.61/1.47 % (3250514)Instruction limit reached!
% 5.61/1.47 % (3250514)------------------------------
% 5.61/1.47 % (3250514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.47 % (3250514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.47 % (3250514)CaDiCaL version: 2.1.3
% 5.61/1.47 % (3250514)Termination reason: Instruction limit
% 5.61/1.47 % (3250514)Termination phase: Saturation
% 5.61/1.47 % (3250514)Time elapsed: 0.067 s
% 5.61/1.47 % (3250514)Peak memory usage: 91 MB
% 5.61/1.47 % (3250514)Instructions burned: 197 (million)
% 5.61/1.47 % (3250511)Instruction limit reached!
% 5.61/1.47 % (3250511)------------------------------
% 5.61/1.47 % (3250511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.47 % (3250511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.47 % (3250511)CaDiCaL version: 2.1.3
% 5.61/1.47 % (3250511)Termination reason: Instruction limit
% 5.61/1.47 % (3250511)Termination phase: Saturation
% 5.61/1.47 % (3250511)Time elapsed: 0.142 s
% 5.61/1.47 % (3250511)Peak memory usage: 90 MB
% 5.61/1.47 % (3250511)Instructions burned: 220 (million)
% 5.61/1.47 % (3250519)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3334442762:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 5.61/1.47 % (3250521)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=1962818592:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 5.61/1.47 % (3250520)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4145917286:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 5.61/1.47 % (3250521)Instruction limit reached!
% 5.61/1.47 % (3250521)------------------------------
% 5.61/1.47 % (3250521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.47 % (3250521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.47 % (3250521)CaDiCaL version: 2.1.3
% 5.61/1.47 % (3250521)Termination reason: Instruction limit
% 5.61/1.47 % (3250521)Termination phase: Saturation
% 5.61/1.47 % (3250521)Time elapsed: 0.040 s
% 5.61/1.47 % (3250521)Peak memory usage: 89 MB
% 5.61/1.47 % (3250521)Instructions burned: 107 (million)
% 5.61/1.47 % (3250522)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1394500981:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 5.61/1.47 % (3250519)Instruction limit reached!
% 5.61/1.47 % (3250519)------------------------------
% 5.61/1.47 % (3250519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.47 % (3250519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.47 % (3250519)CaDiCaL version: 2.1.3
% 5.61/1.47 % (3250519)Termination reason: Instruction limit
% 5.61/1.47 % (3250519)Termination phase: Saturation
% 5.61/1.47 % (3250519)Time elapsed: 0.092 s
% 5.61/1.47 % (3250519)Peak memory usage: 91 MB
% 5.61/1.47 % (3250519)Instructions burned: 158 (million)
% 5.61/1.47 % (3250495)First to succeed.
% 5.61/1.47 % (3250495)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3250472"
% 5.61/1.47 % (3250522)Instruction limit reached!
% 5.61/1.47 % (3250522)------------------------------
% 5.61/1.47 % (3250522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.47 % (3250522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.47 % (3250522)CaDiCaL version: 2.1.3
% 5.61/1.47 % (3250522)Termination reason: Instruction limit
% 5.61/1.47 % (3250522)Termination phase: Saturation
% 5.61/1.47 % (3250522)Time elapsed: 0.067 s
% 5.61/1.47 % (3250522)Peak memory usage: 90 MB
% 5.61/1.47 % (3250522)Instructions burned: 108 (million)
% 5.61/1.47 % (3250497)Also succeeded, but the first one will report.
% 5.61/1.47 % (3250528)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=405395699:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 5.61/1.47 % (3250526)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3311967046:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 5.61/1.47 % (3250495)Refutation found. Thanks to Tanya!
% 5.61/1.47 % SZS status Unsatisfiable for theBenchmark
% 5.61/1.47 % SZS output start Proof for theBenchmark
% See solution above
% 7.00/1.67 % (3250495)------------------------------
% 7.00/1.67 % (3250495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.00/1.67 % (3250495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.67 % (3250495)CaDiCaL version: 2.1.3
% 7.00/1.67 % (3250495)Termination reason: Refutation
% 7.00/1.67 % (3250495)Time elapsed: 0.599 s
% 7.00/1.67 % (3250495)Peak memory usage: 130 MB
% 7.00/1.67 % (3250495)Instructions burned: 996 (million)
% 7.00/1.67 % (3250495)------------------------------
% 7.00/1.67 % (3250495)------------------------------
% 7.00/1.67 % (3250472)Success in time 0.925 s
% 7.00/1.67 % Vampire exiting
%------------------------------------------------------------------------------