%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC382-1 : 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 : n004.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 01:03:44 PM UTC 2026
% Result : Unsatisfiable 3.16s 1.12s
% Output : Refutation 4.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 31
% Syntax : Number of formulae : 132 ( 22 unt; 12 def)
% Number of atoms : 373 ( 44 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 451 ( 210 ~; 229 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 13 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
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(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(f107,axiom,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f118,axiom,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f119,axiom,
! [X0,X1] :
( cons(X0,nil) != X1
| ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
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] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f125]) ).
fof(f187,axiom,
! [X2,X3,X0,X1] :
( app(app(X0,X1),X2) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| segmentP(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
fof(f200,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f210,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| sk3 = X0
| ~ ssItem(X1)
| cons(X1,nil) != X0
| hd(sk4) != X1
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( ~ singletonP(sk1)
| ~ segmentP(sk2,sk1)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f218,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f118]) ).
fof(f219,plain,
! [X0] :
( singletonP(cons(X0,nil))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(equality_resolution,[],[f119]) ).
fof(f226,plain,
! [X2,X0,X1] :
( ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f187]) ).
fof(f238,plain,
! [X1] :
( ~ ssList(cons(X1,nil))
| sk3 = cons(X1,nil)
| ~ ssItem(X1)
| hd(sk4) != X1
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f210]) ).
fof(f239,plain,
( ~ ssList(cons(hd(sk4),nil))
| sk3 = cons(hd(sk4),nil)
| ~ ssItem(hd(sk4))
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f238]) ).
fof(f240,plain,
neq(sk2,nil),
inference(duplicate_literal_removal,[],[f206]) ).
fof(f245,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f218]) ).
fof(f248,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f249,plain,
( neq(sk4,nil)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f252,definition,
( spl0_2
<=> segmentP(sk2,sk1) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f254,plain,
( ~ segmentP(sk2,sk1)
| spl0_2 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f256,definition,
( spl0_3
<=> singletonP(sk1) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f259,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f211,f256,f252,f248]) ).
fof(f261,definition,
( spl0_4
<=> neq(nil,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f263,plain,
( ~ neq(nil,sk4)
| spl0_4 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f265,definition,
( spl0_5
<=> ssItem(hd(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f266,plain,
( ssItem(hd(sk4))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f267,plain,
( ~ ssItem(hd(sk4))
| spl0_5 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f269,definition,
( spl0_6
<=> sk3 = cons(hd(sk4),nil) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f271,plain,
( sk3 = cons(hd(sk4),nil)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f273,definition,
( spl0_7
<=> ssList(cons(hd(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f275,plain,
( ~ ssList(cons(hd(sk4),nil))
| spl0_7 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f276,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f239,f273,f269,f265,f261,f248]) ).
fof(f278,definition,
( spl0_8
<=> neq(sk2,nil) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f280,plain,
( neq(sk2,nil)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f284,plain,
spl0_8,
inference(avatar_split_clause,[],[f240,f278]) ).
fof(f290,definition,
( spl0_10
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f291,plain,
( ssList(nil)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f326,plain,
spl0_10,
inference(avatar_split_clause,[],[f8,f290]) ).
fof(f329,plain,
( neq(sk4,nil)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f280,f204]) ).
fof(f332,plain,
( ~ segmentP(sk4,sk1)
| spl0_2 ),
inference(forward_demodulation,[],[f254,f204]) ).
fof(f333,plain,
( spl0_1
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f329,f278,f248]) ).
fof(f365,plain,
( ~ ssList(nil)
| ~ ssList(sk4)
| nil = sk4
| spl0_4 ),
inference(resolution,[],[f102,f263]) ).
fof(f367,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_4
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f365,f291]) ).
fof(f368,plain,
( nil = sk4
| spl0_4
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f367,f203]) ).
fof(f370,plain,
( ~ neq(nil,nil)
| spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f263,f368]) ).
fof(f372,plain,
( neq(nil,nil)
| ~ spl0_1
| spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f249,f368]) ).
fof(f380,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f372,f370]) ).
fof(f381,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f380]) ).
fof(f389,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_5 ),
inference(resolution,[],[f76,f267]) ).
fof(f391,plain,
( nil = sk4
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f389,f203]) ).
fof(f393,plain,
( neq(nil,nil)
| ~ spl0_1
| spl0_5 ),
inference(superposition,[],[f249,f391]) ).
fof(f398,plain,
( ~ ssList(nil)
| ~ spl0_1
| spl0_5 ),
inference(resolution,[],[f393,f245]) ).
fof(f399,plain,
( $false
| ~ spl0_1
| spl0_5
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f398,f291]) ).
fof(f400,plain,
( ~ spl0_1
| spl0_5
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f399]) ).
fof(f401,plain,
( sk1 = cons(hd(sk4),nil)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f271,f205]) ).
fof(f443,plain,
( singletonP(sk1)
| ~ ssList(sk1)
| ~ ssItem(hd(sk4))
| ~ spl0_6 ),
inference(superposition,[],[f219,f401]) ).
fof(f445,plain,
( singletonP(sk1)
| ~ ssItem(hd(sk4))
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f443,f200]) ).
fof(f446,plain,
( singletonP(sk1)
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f445,f266]) ).
fof(f447,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f446,f269,f265,f256]) ).
fof(f592,definition,
( spl0_22
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f593,plain,
( nil != sk4
| spl0_22 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f594,plain,
( nil = sk4
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f596,definition,
( spl0_23
<=> sk4 = app(sk1,tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f598,plain,
( sk4 = app(sk1,tl(sk4))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f619,plain,
( neq(nil,nil)
| ~ spl0_1
| ~ spl0_22 ),
inference(superposition,[],[f249,f594]) ).
fof(f633,plain,
( ~ ssList(nil)
| ~ spl0_1
| ~ spl0_22 ),
inference(resolution,[],[f619,f245]) ).
fof(f634,plain,
( $false
| ~ spl0_1
| ~ spl0_10
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f633,f291]) ).
fof(f635,plain,
( ~ spl0_1
| ~ spl0_10
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f634]) ).
fof(f637,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk4))
| spl0_7 ),
inference(resolution,[],[f275,f86]) ).
fof(f638,plain,
( ~ ssItem(hd(sk4))
| spl0_7
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f637,f291]) ).
fof(f639,plain,
( $false
| ~ spl0_5
| spl0_7
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f638,f266]) ).
fof(f640,plain,
( ~ spl0_5
| spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f639]) ).
fof(f667,plain,
( ! [X0] :
( cons(hd(sk4),X0) = app(sk1,X0)
| ~ ssList(X0)
| ~ ssItem(hd(sk4)) )
| ~ spl0_6 ),
inference(superposition,[],[f126,f401]) ).
fof(f682,plain,
( ! [X0] :
( cons(hd(sk4),X0) = app(sk1,X0)
| ~ ssList(X0) )
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f667,f266]) ).
fof(f856,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(X0,X1),X0)
| ~ ssList(X0) ),
inference(superposition,[],[f226,f74]) ).
fof(f861,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(X0,X1),X0) ),
inference(duplicate_literal_removal,[],[f856]) ).
fof(f865,plain,
( ! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(X0,X1),X0) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f861,f291]) ).
fof(f1019,plain,
( sk4 = app(sk1,tl(sk4))
| ~ ssList(sk4)
| nil = sk4
| ~ ssList(tl(sk4))
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f107,f682]) ).
fof(f1034,plain,
( sk4 = app(sk1,tl(sk4))
| ~ ssList(sk4)
| nil = sk4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f1019,f75]) ).
fof(f1054,plain,
( sk4 = app(sk1,tl(sk4))
| nil = sk4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f1034,f203]) ).
fof(f1058,plain,
( sk4 = app(sk1,tl(sk4))
| ~ spl0_5
| ~ spl0_6
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f1054,f593]) ).
fof(f1060,plain,
( spl0_23
| ~ spl0_5
| ~ spl0_6
| spl0_22 ),
inference(avatar_split_clause,[],[f1058,f592,f269,f265,f596]) ).
fof(f1201,definition,
( spl0_26
<=> ssList(tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f1202,plain,
( ssList(tl(sk4))
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f1201]) ).
fof(f1203,plain,
( ~ ssList(tl(sk4))
| spl0_26 ),
inference(avatar_component_clause,[],[f1201]) ).
fof(f1212,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_26 ),
inference(resolution,[],[f1203,f75]) ).
fof(f1213,plain,
( nil = sk4
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f1212,f203]) ).
fof(f1214,plain,
( $false
| spl0_22
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f1213,f593]) ).
fof(f1215,plain,
( spl0_22
| spl0_26 ),
inference(avatar_contradiction_clause,[],[f1214]) ).
fof(f2375,plain,
( ! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f865,f85]) ).
fof(f2390,plain,
( segmentP(sk4,sk1)
| ~ ssList(tl(sk4))
| ~ ssList(sk1)
| ~ spl0_10
| ~ spl0_23 ),
inference(superposition,[],[f2375,f598]) ).
fof(f2399,plain,
( ~ ssList(tl(sk4))
| ~ ssList(sk1)
| spl0_2
| ~ spl0_10
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f2390,f332]) ).
fof(f2407,plain,
( ~ ssList(sk1)
| spl0_2
| ~ spl0_10
| ~ spl0_23
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f2399,f1202]) ).
fof(f2414,plain,
( $false
| spl0_2
| ~ spl0_10
| ~ spl0_23
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f2407,f200]) ).
fof(f2415,plain,
( spl0_2
| ~ spl0_10
| ~ spl0_23
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f2414]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f259]) ).
cnf(s2,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f276]) ).
cnf(s6,plain,
spl0_8,
inference(sat_conversion,[],[f284]) ).
cnf(s16,plain,
spl0_10,
inference(sat_conversion,[],[f326]) ).
cnf(s18,plain,
( spl0_1
| ~ spl0_8 ),
inference(sat_conversion,[],[f333]) ).
cnf(s21,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_10 ),
inference(sat_conversion,[],[f381]) ).
cnf(s22,plain,
( ~ spl0_1
| spl0_5
| ~ spl0_10 ),
inference(sat_conversion,[],[f400]) ).
cnf(s23,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f447]) ).
cnf(s30,plain,
( ~ spl0_1
| ~ spl0_10
| ~ spl0_22 ),
inference(sat_conversion,[],[f635]) ).
cnf(s31,plain,
( ~ spl0_5
| spl0_7
| ~ spl0_10 ),
inference(sat_conversion,[],[f640]) ).
cnf(s34,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_22
| spl0_23 ),
inference(sat_conversion,[],[f1060]) ).
cnf(s37,plain,
( spl0_22
| spl0_26 ),
inference(sat_conversion,[],[f1215]) ).
cnf(s92,plain,
( spl0_2
| ~ spl0_10
| ~ spl0_23
| ~ spl0_26 ),
inference(sat_conversion,[],[f2415]) ).
cnf(s101,plain,
spl0_1,
inference(rat,[],[s18,s6]) ).
cnf(s102,plain,
~ spl0_22,
inference(rat,[],[s30,s16,s101]) ).
cnf(s103,plain,
spl0_5,
inference(rat,[],[s22,s16,s101]) ).
cnf(s104,plain,
spl0_4,
inference(rat,[],[s21,s16,s101]) ).
cnf(s105,plain,
spl0_26,
inference(rat,[],[s37,s102]) ).
cnf(s108,plain,
spl0_7,
inference(rat,[],[s31,s16,s103]) ).
cnf(s109,plain,
spl0_6,
inference(rat,[],[s2,s108,s103,s104,s101]) ).
cnf(s118,plain,
spl0_23,
inference(rat,[],[s34,s103,s102,s109]) ).
cnf(s120,plain,
spl0_3,
inference(rat,[],[s23,s103,s109]) ).
cnf(s125,plain,
spl0_2,
inference(rat,[],[s92,s105,s16,s118]) ).
cnf(s133,plain,
$false,
inference(rat,[],[s1,s120,s125,s101]) ).
fof(f2416,plain,
$false,
inference(avatar_sat_refutation,[],[s133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC382-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.16 % Computer : n004.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Mon Sep 28 09:22:52 UTC 2026
% 0.08/0.16 % CPUTime :
% 0.08/0.16 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 Running first-order theorem proving
% 0.08/0.19 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
% 3.16/1.12 % (227937)Input is clausal, will run a generic CNF schedule.
% 3.16/1.12 % (227943)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=550502286:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.16/1.12 % (227946)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3733247336:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.16/1.12 % (227945)lrs+10_1_sil=8000:sp=occurrence:random_seed=2433288125:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.16/1.12 % (227947)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4103733927:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.16/1.12 % (227948)dis-21_1_sil=8000:lcm=predicate:random_seed=1908557545: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)
% 3.16/1.12 % (227944)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1368280995:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.16/1.12 % (227942)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=228008027:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.16/1.12 % (227948)Instruction limit reached!
% 3.16/1.12 % (227948)------------------------------
% 3.16/1.12 % (227948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.12 % (227948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.12 % (227948)CaDiCaL version: 2.1.3
% 3.16/1.12 % (227948)Termination reason: Instruction limit
% 3.16/1.12 % (227948)Termination phase: Saturation
% 3.16/1.12 % (227948)Time elapsed: 0.052 s
% 3.16/1.12 % (227948)Peak memory usage: 88 MB
% 3.16/1.12 % (227948)Instructions burned: 118 (million)
% 3.16/1.12 % (227947)First to succeed.
% 3.16/1.12 % (227947)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-227937"
% 3.16/1.12 % (227946)Instruction limit reached!
% 3.16/1.12 % (227946)------------------------------
% 3.16/1.12 % (227946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.12 % (227946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.12 % (227946)CaDiCaL version: 2.1.3
% 3.16/1.12 % (227946)Termination reason: Instruction limit
% 3.16/1.12 % (227946)Termination phase: Saturation
% 3.16/1.12 % (227946)Time elapsed: 0.066 s
% 3.16/1.12 % (227946)Peak memory usage: 88 MB
% 3.16/1.12 % (227946)Instructions burned: 115 (million)
% 3.16/1.12 % (227945)Instruction limit reached!
% 3.16/1.12 % (227945)------------------------------
% 3.16/1.12 % (227945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.12 % (227945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.12 % (227945)CaDiCaL version: 2.1.3
% 3.16/1.12 % (227945)Termination reason: Instruction limit
% 3.16/1.12 % (227945)Termination phase: Saturation
% 3.16/1.12 % (227945)Time elapsed: 0.067 s
% 3.16/1.12 % (227945)Peak memory usage: 89 MB
% 3.16/1.12 % (227945)Instructions burned: 107 (million)
% 3.16/1.12 % (227956)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=3154355016:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.16/1.12 % (227957)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2529480280: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)
% 3.16/1.12 % (227958)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3424882723:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.16/1.12 % (227958)Also succeeded, but the first one will report.
% 3.16/1.12 % (227956)Instruction limit reached!
% 3.16/1.12 % (227956)------------------------------
% 3.16/1.12 % (227956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.12 % (227956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.12 % (227956)CaDiCaL version: 2.1.3
% 3.16/1.12 % (227956)Termination reason: Instruction limit
% 3.16/1.12 % (227956)Termination phase: Saturation
% 3.16/1.12 % (227956)Time elapsed: 0.094 s
% 3.16/1.12 % (227956)Peak memory usage: 89 MB
% 3.16/1.12 % (227956)Instructions burned: 143 (million)
% 3.16/1.12 % (227947)Refutation found. Thanks to Tanya!
% 3.16/1.12 % SZS status Unsatisfiable for theBenchmark
% 3.16/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 4.05/1.32 % (227947)------------------------------
% 4.05/1.32 % (227947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.32 % (227947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.32 % (227947)CaDiCaL version: 2.1.3
% 4.05/1.32 % (227947)Termination reason: Refutation
% 4.05/1.32 % (227947)Time elapsed: 0.054 s
% 4.05/1.32 % (227947)Peak memory usage: 90 MB
% 4.05/1.32 % (227947)Instructions burned: 75 (million)
% 4.05/1.32 % (227947)------------------------------
% 4.05/1.32 % (227947)------------------------------
% 4.05/1.32 % (227937)Success in time 0.486 s
% 4.05/1.32 % Vampire exiting
%------------------------------------------------------------------------------