%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC341-1 : 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 : n006.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 01:03:32 PM UTC 2026
% Result : Unsatisfiable 6.56s 1.76s
% Output : Refutation 8.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 38
% Syntax : Number of formulae : 138 ( 28 unt; 14 def)
% Number of atoms : 381 ( 36 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 468 ( 225 ~; 230 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 14 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(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
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(f67,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
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(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)
| ~ totalorderedP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f214,plain,
( ~ segmentP(sk4,sk3)
| ~ totalorderedP(sk3) ),
inference(definition_unfolding,[],[f211,f204,f205,f205]) ).
fof(f215,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(equality_resolution,[],[f79]) ).
fof(f229,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X2) ),
inference(equality_resolution,[],[f187]) ).
fof(f239,definition,
sF0 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f240,plain,
cons(sk5,nil) = sF0,
inference(reorient_equations,[],[f239]) ).
fof(f241,plain,
( sk3 = sF0
| ~ neq(sk4,nil) ),
inference(definition_folding,[],[f209,f240]) ).
fof(f249,definition,
( spl1_1
<=> totalorderedP(sk3) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f251,plain,
( ~ totalorderedP(sk3)
| spl1_1 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f253,definition,
( spl1_2
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f255,plain,
( ~ segmentP(sk4,sk3)
| spl1_2 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f256,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f214,f253,f249]) ).
fof(f258,definition,
( spl1_3
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f260,plain,
( ~ neq(sk4,nil)
| spl1_3 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f262,definition,
( spl1_4
<=> memberP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f264,plain,
( memberP(sk4,sk5)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f265,plain,
( ~ spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f210,f262,f258]) ).
fof(f267,definition,
( spl1_5
<=> sk3 = sF0 ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f269,plain,
( sk3 = sF0
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f270,plain,
( ~ spl1_3
| spl1_5 ),
inference(avatar_split_clause,[],[f241,f267,f258]) ).
fof(f272,definition,
( spl1_6
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
fof(f274,plain,
( ssItem(sk5)
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f275,plain,
( ~ spl1_3
| spl1_6 ),
inference(avatar_split_clause,[],[f207,f272,f258]) ).
fof(f277,definition,
( spl1_7
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
fof(f278,plain,
( nil = sk4
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f281,definition,
( spl1_8
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
fof(f283,plain,
( nil = sk3
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f284,plain,
( ~ spl1_7
| spl1_8 ),
inference(avatar_split_clause,[],[f206,f281,f277]) ).
fof(f290,definition,
( spl1_10
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
fof(f291,plain,
( ssList(nil)
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f295,definition,
( spl1_11
<=> ! [X1] :
( ~ ssItem(X1)
| totalorderedP(cons(X1,nil)) ) ),
introduced(definition,[new_symbols(definition,[spl1_11])],[avatar_definition]) ).
fof(f296,plain,
( ! [X1] :
( totalorderedP(cons(X1,nil))
| ~ ssItem(X1) )
| ~ spl1_11 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f313,definition,
( spl1_15
<=> segmentP(nil,nil) ),
introduced(definition,[new_symbols(definition,[spl1_15])],[avatar_definition]) ).
fof(f315,plain,
( segmentP(nil,nil)
| ~ spl1_15 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f316,plain,
( spl1_15
| ~ spl1_10 ),
inference(avatar_split_clause,[],[f215,f290,f313]) ).
fof(f324,plain,
spl1_11,
inference(avatar_split_clause,[],[f67,f295]) ).
fof(f326,plain,
spl1_10,
inference(avatar_split_clause,[],[f8,f290]) ).
fof(f327,plain,
( totalorderedP(sF0)
| ~ ssItem(sk5)
| ~ spl1_11 ),
inference(superposition,[],[f296,f240]) ).
fof(f329,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl1_3 ),
inference(resolution,[],[f102,f260]) ).
fof(f330,plain,
( ~ ssList(nil)
| nil = sk4
| spl1_3 ),
inference(forward_subsumption_resolution,[],[f329,f203]) ).
fof(f331,plain,
( nil = sk4
| spl1_3
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f330,f291]) ).
fof(f345,plain,
sk3 = app(nil,sk3),
inference(resolution,[],[f74,f202]) ).
fof(f352,plain,
! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(app(sk3,X0))
| ~ ssList(X0) ),
inference(superposition,[],[f229,f345]) ).
fof(f353,plain,
! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f352,f85]) ).
fof(f354,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(sk3)
| ~ ssList(X0) )
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f353,f291]) ).
fof(f355,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(X0) )
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f354,f202]) ).
fof(f359,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f73,f203]) ).
fof(f364,plain,
( totalorderedP(sk3)
| ~ ssItem(sk5)
| ~ spl1_5
| ~ spl1_11 ),
inference(forward_demodulation,[],[f327,f269]) ).
fof(f367,plain,
( ~ ssItem(sk5)
| spl1_1
| ~ spl1_5
| ~ spl1_11 ),
inference(forward_subsumption_resolution,[],[f364,f251]) ).
fof(f370,plain,
( $false
| spl1_1
| ~ spl1_5
| ~ spl1_6
| ~ spl1_11 ),
inference(forward_subsumption_resolution,[],[f367,f274]) ).
fof(f371,plain,
( spl1_1
| ~ spl1_5
| ~ spl1_6
| ~ spl1_11 ),
inference(avatar_contradiction_clause,[],[f370]) ).
fof(f373,plain,
( ~ ssItem(sk5)
| ~ ssList(sk4)
| sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_4 ),
inference(resolution,[],[f182,f264]) ).
fof(f374,plain,
( ~ ssList(sk4)
| sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_4
| ~ spl1_6 ),
inference(forward_subsumption_resolution,[],[f373,f274]) ).
fof(f375,plain,
( sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_4
| ~ spl1_6 ),
inference(forward_subsumption_resolution,[],[f374,f203]) ).
fof(f382,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,f375]) ).
fof(f385,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,[],[f382,f53]) ).
fof(f387,definition,
( spl1_18
<=> ssList(cons(sk5,skaf43(sk5,sk4))) ),
introduced(definition,[new_symbols(definition,[spl1_18])],[avatar_definition]) ).
fof(f389,plain,
( ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| spl1_18 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f395,definition,
( spl1_20
<=> ! [X0,X1] :
( segmentP(app(sk4,X0),X1)
| ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl1_20])],[avatar_definition]) ).
fof(f396,plain,
( ! [X0,X1] :
( ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1)
| segmentP(app(sk4,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl1_20 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f397,plain,
( ~ spl1_18
| spl1_20
| ~ spl1_4
| ~ spl1_6 ),
inference(avatar_split_clause,[],[f385,f272,f262,f395,f387]) ).
fof(f398,plain,
( ~ ssList(skaf43(sk5,sk4))
| ~ ssItem(sk5)
| spl1_18 ),
inference(resolution,[],[f389,f86]) ).
fof(f399,plain,
( ~ ssItem(sk5)
| spl1_18 ),
inference(forward_subsumption_resolution,[],[f398,f52]) ).
fof(f400,plain,
( $false
| ~ spl1_6
| spl1_18 ),
inference(forward_subsumption_resolution,[],[f399,f274]) ).
fof(f401,plain,
( ~ spl1_6
| spl1_18 ),
inference(avatar_contradiction_clause,[],[f400]) ).
fof(f407,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk5,X0) = app(cons(sk5,nil),X0) )
| ~ spl1_6 ),
inference(resolution,[],[f126,f274]) ).
fof(f408,plain,
( ! [X0] :
( cons(sk5,X0) = app(sF0,X0)
| ~ ssList(X0) )
| ~ spl1_6 ),
inference(forward_demodulation,[],[f407,f240]) ).
fof(f409,plain,
( ! [X0] :
( ~ ssList(X0)
| app(sk3,X0) = cons(sk5,X0) )
| ~ spl1_5
| ~ spl1_6 ),
inference(forward_demodulation,[],[f408,f269]) ).
fof(f443,plain,
( ! [X0,X1] : app(sk3,skaf43(X0,X1)) = cons(sk5,skaf43(X0,X1))
| ~ spl1_5
| ~ spl1_6 ),
inference(resolution,[],[f52,f409]) ).
fof(f447,plain,
( ! [X0,X1] :
( ~ segmentP(app(sk3,skaf43(sk5,sk4)),X0)
| segmentP(app(sk4,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl1_5
| ~ spl1_6
| ~ spl1_20 ),
inference(superposition,[],[f396,f443]) ).
fof(f455,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(skaf43(sk5,sk4)) )
| ~ spl1_5
| ~ spl1_6
| ~ spl1_10
| ~ spl1_20 ),
inference(resolution,[],[f447,f355]) ).
fof(f459,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(X0)
| ~ ssList(skaf43(sk5,sk4)) )
| ~ spl1_5
| ~ spl1_6
| ~ spl1_10
| ~ spl1_20 ),
inference(forward_subsumption_resolution,[],[f455,f202]) ).
fof(f460,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(X0) )
| ~ spl1_5
| ~ spl1_6
| ~ spl1_10
| ~ spl1_20 ),
inference(forward_subsumption_resolution,[],[f459,f52]) ).
fof(f461,plain,
( segmentP(sk4,sk3)
| ~ ssList(nil)
| ~ spl1_5
| ~ spl1_6
| ~ spl1_10
| ~ spl1_20 ),
inference(superposition,[],[f460,f359]) ).
fof(f462,plain,
( ~ ssList(nil)
| spl1_2
| ~ spl1_5
| ~ spl1_6
| ~ spl1_10
| ~ spl1_20 ),
inference(forward_subsumption_resolution,[],[f461,f255]) ).
fof(f463,plain,
( $false
| spl1_2
| ~ spl1_5
| ~ spl1_6
| ~ spl1_10
| ~ spl1_20 ),
inference(forward_subsumption_resolution,[],[f462,f291]) ).
fof(f464,plain,
( spl1_2
| ~ spl1_5
| ~ spl1_6
| ~ spl1_10
| ~ spl1_20 ),
inference(avatar_contradiction_clause,[],[f463]) ).
fof(f465,plain,
( spl1_7
| spl1_3
| ~ spl1_10 ),
inference(avatar_split_clause,[],[f331,f290,f258,f277]) ).
fof(f470,plain,
( ~ segmentP(sk4,nil)
| spl1_2
| ~ spl1_8 ),
inference(superposition,[],[f255,f283]) ).
fof(f475,plain,
( ~ segmentP(nil,nil)
| spl1_2
| ~ spl1_7
| ~ spl1_8 ),
inference(forward_demodulation,[],[f470,f278]) ).
fof(f476,plain,
( $false
| spl1_2
| ~ spl1_7
| ~ spl1_8
| ~ spl1_15 ),
inference(forward_subsumption_resolution,[],[f475,f315]) ).
fof(f477,plain,
( spl1_2
| ~ spl1_7
| ~ spl1_8
| ~ spl1_15 ),
inference(avatar_contradiction_clause,[],[f476]) ).
fof(f478,plain,
( ~ totalorderedP(nil)
| spl1_1
| ~ spl1_8 ),
inference(forward_demodulation,[],[f251,f283]) ).
fof(f480,plain,
( $false
| spl1_1
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f478,f4]) ).
fof(f481,plain,
( spl1_1
| ~ spl1_8 ),
inference(avatar_contradiction_clause,[],[f480]) ).
cnf(s1,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f256]) ).
cnf(s2,plain,
( ~ spl1_3
| spl1_4 ),
inference(sat_conversion,[],[f265]) ).
cnf(s3,plain,
( ~ spl1_3
| spl1_5 ),
inference(sat_conversion,[],[f270]) ).
cnf(s4,plain,
( ~ spl1_3
| spl1_6 ),
inference(sat_conversion,[],[f275]) ).
cnf(s5,plain,
( ~ spl1_7
| spl1_8 ),
inference(sat_conversion,[],[f284]) ).
cnf(s11,plain,
( ~ spl1_10
| spl1_15 ),
inference(sat_conversion,[],[f316]) ).
cnf(s13,plain,
spl1_11,
inference(sat_conversion,[],[f324]) ).
cnf(s15,plain,
spl1_10,
inference(sat_conversion,[],[f326]) ).
cnf(s19,plain,
( spl1_1
| ~ spl1_5
| ~ spl1_6
| ~ spl1_11 ),
inference(sat_conversion,[],[f371]) ).
cnf(s21,plain,
( ~ spl1_4
| ~ spl1_6
| ~ spl1_18
| spl1_20 ),
inference(sat_conversion,[],[f397]) ).
cnf(s22,plain,
( ~ spl1_6
| spl1_18 ),
inference(sat_conversion,[],[f401]) ).
cnf(s23,plain,
( spl1_2
| ~ spl1_5
| ~ spl1_6
| ~ spl1_10
| ~ spl1_20 ),
inference(sat_conversion,[],[f464]) ).
cnf(s24,plain,
( spl1_3
| spl1_7
| ~ spl1_10 ),
inference(sat_conversion,[],[f465]) ).
cnf(s25,plain,
( spl1_2
| ~ spl1_7
| ~ spl1_8
| ~ spl1_15 ),
inference(sat_conversion,[],[f477]) ).
cnf(s26,plain,
( spl1_1
| ~ spl1_8 ),
inference(sat_conversion,[],[f481]) ).
cnf(s27,plain,
spl1_15,
inference(rat,[],[s11,s15]) ).
cnf(s31,plain,
spl1_1,
inference(rat,[],[s19,s3,s4,s24,s5,s26,s13,s15]) ).
cnf(s32,plain,
~ spl1_2,
inference(rat,[],[s1,s31]) ).
cnf(s33,plain,
~ spl1_7,
inference(rat,[],[s25,s5,s32,s27]) ).
cnf(s34,plain,
spl1_3,
inference(rat,[],[s24,s15,s33]) ).
cnf(s35,plain,
spl1_6,
inference(rat,[],[s4,s34]) ).
cnf(s36,plain,
spl1_5,
inference(rat,[],[s3,s34]) ).
cnf(s37,plain,
spl1_4,
inference(rat,[],[s2,s34]) ).
cnf(s38,plain,
spl1_18,
inference(rat,[],[s22,s35]) ).
cnf(s39,plain,
~ spl1_20,
inference(rat,[],[s23,s35,s15,s32,s36]) ).
cnf(s40,plain,
$false,
inference(rat,[],[s21,s35,s38,s39,s37]) ).
fof(f483,plain,
$false,
inference(avatar_sat_refutation,[],[s40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC341-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n006.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 09:10:25 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 6.56/1.75 % (3830937)Input is clausal, will run a generic CNF schedule.
% 6.56/1.75 % (3830943)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=222415725:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.56/1.75 % (3830947)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1942400231:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.56/1.75 % (3830944)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=294545300:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.56/1.75 % (3830946)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4007831844:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.56/1.75 % (3830945)lrs+10_1_sil=8000:sp=occurrence:random_seed=1304704221:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.56/1.75 % (3830942)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=3599687065:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.56/1.75 % (3830948)dis-21_1_sil=8000:lcm=predicate:random_seed=1767965261: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)
% 6.56/1.75 % (3830948)Instruction limit reached!
% 6.56/1.75 % (3830948)------------------------------
% 6.56/1.75 % (3830948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.75 % (3830948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.75 % (3830948)CaDiCaL version: 2.1.3
% 6.56/1.75 % (3830948)Termination reason: Instruction limit
% 6.56/1.75 % (3830948)Termination phase: Saturation
% 6.56/1.75 % (3830948)Time elapsed: 0.054 s
% 6.56/1.75 % (3830948)Peak memory usage: 89 MB
% 6.56/1.75 % (3830948)Instructions burned: 118 (million)
% 6.56/1.75 % (3830946)Instruction limit reached!
% 6.56/1.75 % (3830946)------------------------------
% 6.56/1.75 % (3830946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.75 % (3830946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.75 % (3830946)CaDiCaL version: 2.1.3
% 6.56/1.75 % (3830946)Termination reason: Instruction limit
% 6.56/1.75 % (3830946)Termination phase: Saturation
% 6.56/1.75 % (3830946)Time elapsed: 0.067 s
% 6.56/1.75 % (3830946)Peak memory usage: 89 MB
% 6.56/1.75 % (3830946)Instructions burned: 114 (million)
% 6.56/1.75 % (3830945)Instruction limit reached!
% 6.56/1.75 % (3830945)------------------------------
% 6.56/1.75 % (3830945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.75 % (3830945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.75 % (3830945)CaDiCaL version: 2.1.3
% 6.56/1.75 % (3830945)Termination reason: Instruction limit
% 6.56/1.75 % (3830945)Termination phase: Saturation
% 6.56/1.75 % (3830945)Time elapsed: 0.068 s
% 6.56/1.75 % (3830945)Peak memory usage: 89 MB
% 6.56/1.75 % (3830945)Instructions burned: 107 (million)
% 6.56/1.75 % (3830947)Instruction limit reached!
% 6.56/1.75 % (3830947)------------------------------
% 6.56/1.75 % (3830947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.75 % (3830947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.76 % (3830947)CaDiCaL version: 2.1.3
% 6.56/1.76 % (3830947)Termination reason: Instruction limit
% 6.56/1.76 % (3830947)Termination phase: Saturation
% 6.56/1.76 % (3830947)Time elapsed: 0.123 s
% 6.56/1.76 % (3830947)Peak memory usage: 90 MB
% 6.56/1.76 % (3830947)Instructions burned: 180 (million)
% 6.56/1.76 % (3830956)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=2921099973:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.56/1.76 % (3830958)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4066292887:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.56/1.76 % (3830957)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1054532675: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)
% 6.56/1.76 % (3830959)lrs+10_64_to=lpo:sil=8000:random_seed=166565911:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.56/1.76 % (3830956)Instruction limit reached!
% 6.56/1.76 % (3830956)------------------------------
% 6.56/1.76 % (3830956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.76 % (3830956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.76 % (3830956)CaDiCaL version: 2.1.3
% 6.56/1.76 % (3830956)Termination reason: Instruction limit
% 6.56/1.76 % (3830956)Termination phase: Saturation
% 6.56/1.76 % (3830956)Time elapsed: 0.092 s
% 6.56/1.76 % (3830956)Peak memory usage: 89 MB
% 6.56/1.76 % (3830956)Instructions burned: 144 (million)
% 6.56/1.76 % (3830957)Instruction limit reached!
% 6.56/1.76 % (3830957)------------------------------
% 6.56/1.76 % (3830957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.76 % (3830957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.76 % (3830957)CaDiCaL version: 2.1.3
% 6.56/1.76 % (3830957)Termination reason: Instruction limit
% 6.56/1.76 % (3830957)Termination phase: Saturation
% 6.56/1.76 % (3830957)Time elapsed: 0.092 s
% 6.56/1.76 % (3830957)Peak memory usage: 90 MB
% 6.56/1.76 % (3830957)Instructions burned: 190 (million)
% 6.56/1.76 % (3830958)Instruction limit reached!
% 6.56/1.76 % (3830958)------------------------------
% 6.56/1.76 % (3830958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.76 % (3830958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.76 % (3830958)CaDiCaL version: 2.1.3
% 6.56/1.76 % (3830958)Termination reason: Instruction limit
% 6.56/1.76 % (3830958)Termination phase: Saturation
% 6.56/1.76 % (3830958)Time elapsed: 0.132 s
% 6.56/1.76 % (3830958)Peak memory usage: 90 MB
% 6.56/1.76 % (3830958)Instructions burned: 219 (million)
% 6.56/1.76 % (3830959)Instruction limit reached!
% 6.56/1.76 % (3830959)------------------------------
% 6.56/1.76 % (3830959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.76 % (3830959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.76 % (3830959)CaDiCaL version: 2.1.3
% 6.56/1.76 % (3830959)Termination reason: Instruction limit
% 6.56/1.76 % (3830959)Termination phase: Saturation
% 6.56/1.76 % (3830959)Time elapsed: 0.069 s
% 6.56/1.76 % (3830959)Peak memory usage: 90 MB
% 6.56/1.76 % (3830959)Instructions burned: 127 (million)
% 6.56/1.76 % (3830964)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=875158809:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.56/1.76 % (3830965)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2238711700:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.56/1.76 % (3830967)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=3191336344:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 6.56/1.76 % (3830966)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3755421422:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 6.56/1.76 % (3830965)Instruction limit reached!
% 6.56/1.76 % (3830965)------------------------------
% 6.56/1.76 % (3830965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.76 % (3830965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.76 % (3830965)CaDiCaL version: 2.1.3
% 6.56/1.76 % (3830965)Termination reason: Instruction limit
% 6.56/1.76 % (3830965)Termination phase: Saturation
% 6.56/1.76 % (3830965)Time elapsed: 0.090 s
% 6.56/1.76 % (3830965)Peak memory usage: 91 MB
% 6.56/1.76 % (3830965)Instructions burned: 157 (million)
% 6.56/1.76 % (3830964)Instruction limit reached!
% 6.56/1.76 % (3830964)------------------------------
% 6.56/1.76 % (3830964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.76 % (3830964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.76 % (3830964)CaDiCaL version: 2.1.3
% 6.56/1.76 % (3830964)Termination reason: Instruction limit
% 6.56/1.76 % (3830964)Termination phase: Saturation
% 6.56/1.76 % (3830964)Time elapsed: 0.124 s
% 6.56/1.76 % (3830964)Peak memory usage: 90 MB
% 6.56/1.76 % (3830964)Instructions burned: 194 (million)
% 6.56/1.76 % (3830967)Instruction limit reached!
% 6.56/1.76 % (3830967)------------------------------
% 6.56/1.76 % (3830967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.76 % (3830967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.76 % (3830967)CaDiCaL version: 2.1.3
% 6.56/1.76 % (3830967)Termination reason: Instruction limit
% 6.56/1.76 % (3830967)Termination phase: Saturation
% 6.56/1.76 % (3830967)Time elapsed: 0.058 s
% 6.56/1.76 % (3830967)Peak memory usage: 89 MB
% 6.56/1.76 % (3830967)Instructions burned: 107 (million)
% 6.56/1.76 % (3830942)First to succeed.
% 6.56/1.76 % (3830944)Also succeeded, but the first one will report.
% 6.56/1.76 % (3830942)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3830937"
% 6.56/1.76 % (3830973)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=265424159:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 6.56/1.76 % (3830974)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2912619998:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 6.56/1.76 % (3830972)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=286470376:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 6.56/1.76 % (3830972)Instruction limit reached!
% 6.56/1.76 % (3830972)------------------------------
% 6.56/1.76 % (3830972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.76 % (3830972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.76 % (3830972)CaDiCaL version: 2.1.3
% 6.56/1.76 % (3830972)Termination reason: Instruction limit
% 6.56/1.76 % (3830972)Termination phase: Saturation
% 6.56/1.76 % (3830972)Time elapsed: 0.067 s
% 6.56/1.76 % (3830972)Peak memory usage: 90 MB
% 6.56/1.76 % (3830972)Instructions burned: 108 (million)
% 6.56/1.76 % (3830973)Instruction limit reached!
% 6.56/1.76 % (3830973)------------------------------
% 6.56/1.76 % (3830973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.76 % (3830973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.76 % (3830973)CaDiCaL version: 2.1.3
% 6.56/1.76 % (3830973)Termination reason: Instruction limit
% 6.56/1.76 % (3830973)Termination phase: Saturation
% 6.56/1.76 % (3830973)Time elapsed: 0.153 s
% 6.56/1.76 % (3830973)Peak memory usage: 90 MB
% 6.56/1.76 % (3830973)Instructions burned: 242 (million)
% 6.56/1.76 % (3830942)Refutation found. Thanks to Tanya!
% 6.56/1.76 % SZS status Unsatisfiable for theBenchmark
% 6.56/1.76 % SZS output start Proof for theBenchmark
% See solution above
% 8.30/1.95 % (3830942)------------------------------
% 8.30/1.95 % (3830942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.30/1.95 % (3830942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.30/1.95 % (3830942)CaDiCaL version: 2.1.3
% 8.30/1.95 % (3830942)Termination reason: Refutation
% 8.30/1.95 % (3830942)Time elapsed: 0.663 s
% 8.30/1.95 % (3830942)Peak memory usage: 131 MB
% 8.30/1.95 % (3830942)Instructions burned: 997 (million)
% 8.30/1.95 % (3830942)------------------------------
% 8.30/1.95 % (3830942)------------------------------
% 8.30/1.95 % (3830937)Success in time 1.093 s
% 8.30/1.95 % Vampire exiting
%------------------------------------------------------------------------------