%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC152-1 : 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 : 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 01:02:41 PM UTC 2026
% Result : Unsatisfiable 2.74s 1.37s
% Output : Refutation 4.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 47
% Syntax : Number of formulae : 223 ( 40 unt; 23 def)
% Number of atoms : 704 ( 40 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 925 ( 444 ~; 458 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 24 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 65 ( 0 sgn 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
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(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] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f125]) ).
fof(f149,axiom,
! [X2,X0,X1] :
( X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| memberP(cons(X1,X2),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
fof(f151,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f152,axiom,
! [X2,X0,X1] :
( memberP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
fof(f161,axiom,
! [X2,X0,X1] :
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f173,axiom,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| X2 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| X0 = X2 ),
inference(reorient_equations,[],[f173]) ).
fof(f189,axiom,
! [X2,X3,X0,X1] :
( app(X0,cons(X1,X2)) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(X3)
| memberP(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
ssList(sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
ssList(sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f212,plain,
sk1 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
inference(reorient_equations,[],[f211]) ).
fof(f213,negated_conjecture,
leq(sk6,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f214,negated_conjecture,
( ssItem(sk10)
| ~ leq(sk5,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f215,negated_conjecture,
( memberP(sk8,sk10)
| ~ leq(sk5,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f216,negated_conjecture,
( ~ leq(sk5,sk10)
| ~ leq(sk10,sk6)
| ~ leq(sk5,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f218,negated_conjecture,
( ssItem(sk11)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f223,negated_conjecture,
( cons(sk11,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_22) ).
fof(f224,plain,
( sk3 = cons(sk11,nil)
| nil = sk3 ),
inference(reorient_equations,[],[f223]) ).
fof(f229,plain,
! [X2,X0,X1] :
( memberP(app(X0,cons(X1,X2)),X1)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X2) ),
inference(equality_resolution,[],[f189]) ).
fof(f230,plain,
! [X2,X1] :
( ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f149]) ).
fof(f232,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(duplicate_literal_removal,[],[f230]) ).
fof(f234,definition,
( spl0_1
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f235,plain,
( nil = sk3
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f245,definition,
( spl0_4
<=> sk3 = cons(sk11,nil) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f246,plain,
( sk3 = cons(sk11,nil)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f247,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f224,f245,f234]) ).
fof(f255,definition,
( spl0_6
<=> ssItem(sk11) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f256,plain,
( ssItem(sk11)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f257,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f218,f255,f234]) ).
fof(f260,definition,
( spl0_7
<=> leq(sk5,sk6) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f261,plain,
( ~ leq(sk5,sk6)
| spl0_7 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f263,definition,
( spl0_8
<=> leq(sk10,sk6) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f264,plain,
( ~ leq(sk10,sk6)
| spl0_8 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f266,definition,
( spl0_9
<=> leq(sk5,sk10) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f267,plain,
( ~ leq(sk5,sk10)
| spl0_9 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f268,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f216,f266,f263,f260]) ).
fof(f270,definition,
( spl0_10
<=> memberP(sk8,sk10) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f271,plain,
( memberP(sk8,sk10)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f272,plain,
( ~ spl0_7
| spl0_10 ),
inference(avatar_split_clause,[],[f215,f270,f260]) ).
fof(f274,definition,
( spl0_11
<=> ssItem(sk10) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f275,plain,
( ssItem(sk10)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f276,plain,
( ~ spl0_7
| spl0_11 ),
inference(avatar_split_clause,[],[f214,f274,f260]) ).
fof(f294,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssList(nil)
| ~ ssItem(sk11)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk11 = X0 )
| ~ spl0_4 ),
inference(superposition,[],[f174,f246]) ).
fof(f307,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(sk11)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk11 = X0 )
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f294,f8]) ).
fof(f317,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk11 = X0 )
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f307,f256]) ).
fof(f320,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| sk11 = X0 )
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f317,f71]) ).
fof(f324,plain,
sk3 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
inference(forward_demodulation,[],[f212,f205]) ).
fof(f400,plain,
( sk3 = app(app(app(sk7,cons(sk5,nil)),sk8),app(cons(sk6,nil),sk9))
| ~ ssList(cons(sk6,nil))
| ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
| ~ ssList(sk9) ),
inference(superposition,[],[f324,f161]) ).
fof(f424,plain,
( sk3 = app(app(app(sk7,cons(sk5,nil)),sk8),app(cons(sk6,nil),sk9))
| ~ ssList(cons(sk6,nil))
| ~ ssList(app(app(sk7,cons(sk5,nil)),sk8)) ),
inference(forward_subsumption_resolution,[],[f400,f210]) ).
fof(f461,definition,
( spl0_21
<=> ssList(app(app(sk7,cons(sk5,nil)),sk8)) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f462,plain,
( ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
| spl0_21 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f464,definition,
( spl0_22
<=> ssList(cons(sk6,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f465,plain,
( ~ ssList(cons(sk6,nil))
| spl0_22 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f467,definition,
( spl0_23
<=> sk3 = app(app(app(sk7,cons(sk5,nil)),sk8),app(cons(sk6,nil),sk9)) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f468,plain,
( sk3 = app(app(app(sk7,cons(sk5,nil)),sk8),app(cons(sk6,nil),sk9))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f470,plain,
( ~ spl0_21
| ~ spl0_22
| spl0_23 ),
inference(avatar_split_clause,[],[f424,f467,f464,f461]) ).
fof(f472,definition,
( spl0_24
<=> ssList(app(sk7,cons(sk5,nil))) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f473,plain,
( ~ ssList(app(sk7,cons(sk5,nil)))
| spl0_24 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f480,definition,
( spl0_26
<=> ssList(cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f481,plain,
( ~ ssList(cons(sk5,nil))
| spl0_26 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f486,plain,
( ~ ssList(nil)
| ~ ssItem(sk6)
| spl0_22 ),
inference(resolution,[],[f465,f86]) ).
fof(f487,plain,
( ~ ssItem(sk6)
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f486,f8]) ).
fof(f488,plain,
( $false
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f487,f207]) ).
fof(f489,plain,
spl0_22,
inference(avatar_contradiction_clause,[],[f488]) ).
fof(f490,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_26 ),
inference(resolution,[],[f481,f86]) ).
fof(f491,plain,
( ~ ssItem(sk5)
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f490,f8]) ).
fof(f492,plain,
( $false
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f491,f206]) ).
fof(f493,plain,
spl0_26,
inference(avatar_contradiction_clause,[],[f492]) ).
fof(f502,plain,
( ~ ssList(sk7)
| ~ ssList(cons(sk5,nil))
| spl0_24 ),
inference(resolution,[],[f473,f85]) ).
fof(f503,plain,
( ~ ssList(cons(sk5,nil))
| spl0_24 ),
inference(forward_subsumption_resolution,[],[f502,f208]) ).
fof(f504,plain,
( ~ spl0_26
| spl0_24 ),
inference(avatar_split_clause,[],[f503,f472,f480]) ).
fof(f516,plain,
( ~ ssList(app(sk7,app(cons(sk5,nil),sk8)))
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk7)
| ~ ssList(sk8)
| spl0_21 ),
inference(superposition,[],[f462,f161]) ).
fof(f517,plain,
( ~ ssList(app(sk7,app(cons(sk5,nil),sk8)))
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk8)
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f516,f208]) ).
fof(f519,plain,
( ~ ssList(app(sk7,app(cons(sk5,nil),sk8)))
| ~ ssList(cons(sk5,nil))
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f517,f209]) ).
fof(f522,definition,
( spl0_28
<=> ssList(app(sk7,app(cons(sk5,nil),sk8))) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f523,plain,
( ~ ssList(app(sk7,app(cons(sk5,nil),sk8)))
| spl0_28 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f524,plain,
( ~ spl0_26
| ~ spl0_28
| spl0_21 ),
inference(avatar_split_clause,[],[f519,f461,f522,f480]) ).
fof(f727,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssList(app(cons(sk6,nil),sk9))
| ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
| ~ ssItem(X0)
| ~ memberP(app(app(sk7,cons(sk5,nil)),sk8),X0) )
| ~ spl0_23 ),
inference(superposition,[],[f151,f468]) ).
fof(f728,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssList(app(cons(sk6,nil),sk9))
| ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
| ~ ssItem(X0)
| ~ memberP(app(cons(sk6,nil),sk9),X0) )
| ~ spl0_23 ),
inference(superposition,[],[f152,f468]) ).
fof(f737,definition,
( spl0_38
<=> ssList(app(cons(sk6,nil),sk9)) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f738,plain,
( ~ ssList(app(cons(sk6,nil),sk9))
| spl0_38 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f762,definition,
( spl0_44
<=> ! [X0] :
( memberP(sk3,X0)
| ~ memberP(app(cons(sk6,nil),sk9),X0)
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f763,plain,
( ! [X0] :
( ~ memberP(app(cons(sk6,nil),sk9),X0)
| memberP(sk3,X0)
| ~ ssItem(X0) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f764,plain,
( ~ spl0_21
| ~ spl0_38
| spl0_44
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f728,f467,f762,f737,f461]) ).
fof(f766,definition,
( spl0_45
<=> ! [X0] :
( memberP(sk3,X0)
| ~ memberP(app(app(sk7,cons(sk5,nil)),sk8),X0)
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f767,plain,
( ! [X0] :
( ~ memberP(app(app(sk7,cons(sk5,nil)),sk8),X0)
| memberP(sk3,X0)
| ~ ssItem(X0) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f768,plain,
( ~ spl0_21
| ~ spl0_38
| spl0_45
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f727,f467,f766,f737,f461]) ).
fof(f804,plain,
( ~ ssList(cons(sk6,sk9))
| ~ ssList(sk9)
| ~ ssItem(sk6)
| spl0_38 ),
inference(superposition,[],[f738,f126]) ).
fof(f805,plain,
( ~ ssList(sk9)
| ~ ssItem(sk6)
| spl0_38 ),
inference(forward_subsumption_resolution,[],[f804,f86]) ).
fof(f807,plain,
( ~ ssItem(sk6)
| spl0_38 ),
inference(forward_subsumption_resolution,[],[f805,f210]) ).
fof(f809,plain,
( $false
| spl0_38 ),
inference(forward_subsumption_resolution,[],[f807,f207]) ).
fof(f810,plain,
spl0_38,
inference(avatar_contradiction_clause,[],[f809]) ).
fof(f904,plain,
( ! [X0] :
( ~ memberP(cons(sk6,sk9),X0)
| memberP(sk3,X0)
| ~ ssItem(X0)
| ~ ssList(sk9)
| ~ ssItem(sk6) )
| ~ spl0_44 ),
inference(superposition,[],[f763,f126]) ).
fof(f907,plain,
( ! [X0] :
( ~ memberP(cons(sk6,sk9),X0)
| memberP(sk3,X0)
| ~ ssItem(X0)
| ~ ssItem(sk6) )
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f904,f210]) ).
fof(f909,plain,
( ! [X0] :
( ~ memberP(cons(sk6,sk9),X0)
| memberP(sk3,X0)
| ~ ssItem(X0) )
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f907,f207]) ).
fof(f968,definition,
( spl0_66
<=> ssList(app(cons(sk5,nil),sk8)) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f969,plain,
( ~ ssList(app(cons(sk5,nil),sk8))
| spl0_66 ),
inference(avatar_component_clause,[],[f968]) ).
fof(f976,plain,
( ~ ssList(cons(sk5,sk8))
| ~ ssList(sk8)
| ~ ssItem(sk5)
| spl0_66 ),
inference(superposition,[],[f969,f126]) ).
fof(f977,plain,
( ~ ssList(sk8)
| ~ ssItem(sk5)
| spl0_66 ),
inference(forward_subsumption_resolution,[],[f976,f86]) ).
fof(f979,plain,
( ~ ssItem(sk5)
| spl0_66 ),
inference(forward_subsumption_resolution,[],[f977,f209]) ).
fof(f981,plain,
( $false
| spl0_66 ),
inference(forward_subsumption_resolution,[],[f979,f206]) ).
fof(f982,plain,
spl0_66,
inference(avatar_contradiction_clause,[],[f981]) ).
fof(f998,plain,
( memberP(sk3,sk6)
| ~ ssItem(sk6)
| ~ ssItem(sk6)
| ~ ssList(sk9)
| ~ spl0_44 ),
inference(resolution,[],[f909,f232]) ).
fof(f999,plain,
( memberP(sk3,sk6)
| ~ ssItem(sk6)
| ~ ssList(sk9)
| ~ spl0_44 ),
inference(duplicate_literal_removal,[],[f998]) ).
fof(f1001,plain,
( memberP(sk3,sk6)
| ~ ssList(sk9)
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f999,f207]) ).
fof(f1002,plain,
( memberP(sk3,sk6)
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f1001,f210]) ).
fof(f1003,plain,
( ~ ssItem(sk6)
| sk6 = sk11
| ~ spl0_4
| ~ spl0_6
| ~ spl0_44 ),
inference(resolution,[],[f1002,f320]) ).
fof(f1004,plain,
( sk6 = sk11
| ~ spl0_4
| ~ spl0_6
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f1003,f207]) ).
fof(f1023,plain,
( leq(sk11,sk5)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_44 ),
inference(superposition,[],[f213,f1004]) ).
fof(f1024,plain,
( ~ leq(sk5,sk11)
| ~ spl0_4
| ~ spl0_6
| spl0_7
| ~ spl0_44 ),
inference(superposition,[],[f261,f1004]) ).
fof(f1065,definition,
( spl0_72
<=> sk5 = sk11 ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f1066,plain,
( sk5 = sk11
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f1065]) ).
fof(f1068,definition,
( spl0_73
<=> leq(sk5,sk11) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f1069,plain,
( ~ leq(sk5,sk11)
| spl0_73 ),
inference(avatar_component_clause,[],[f1068]) ).
fof(f1071,plain,
( ~ spl0_73
| ~ spl0_4
| ~ spl0_6
| spl0_7
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f1024,f762,f260,f255,f245,f1068]) ).
fof(f1189,plain,
( memberP(nil,sk6)
| ~ spl0_1
| ~ spl0_44 ),
inference(superposition,[],[f1002,f235]) ).
fof(f1217,plain,
( ~ ssItem(sk6)
| ~ spl0_1
| ~ spl0_44 ),
inference(resolution,[],[f1189,f71]) ).
fof(f1218,plain,
( $false
| ~ spl0_1
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f1217,f207]) ).
fof(f1219,plain,
( ~ spl0_1
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f1218]) ).
fof(f1250,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssList(nil)
| ~ ssItem(sk11)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk11 = X0 )
| ~ spl0_4 ),
inference(superposition,[],[f174,f246]) ).
fof(f1263,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(sk11)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk11 = X0 )
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f1250,f8]) ).
fof(f1273,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk11 = X0 )
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f1263,f256]) ).
fof(f1276,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| sk11 = X0 )
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f1273,f71]) ).
fof(f1675,plain,
( ~ ssList(sk7)
| ~ ssList(app(cons(sk5,nil),sk8))
| spl0_28 ),
inference(resolution,[],[f523,f85]) ).
fof(f1678,plain,
( ~ ssList(app(cons(sk5,nil),sk8))
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f1675,f208]) ).
fof(f1680,plain,
( ~ spl0_66
| spl0_28 ),
inference(avatar_split_clause,[],[f1678,f522,f968]) ).
fof(f2838,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssItem(X0)
| ~ ssList(sk8)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssItem(X0)
| ~ memberP(app(sk7,cons(sk5,nil)),X0) )
| ~ spl0_45 ),
inference(resolution,[],[f767,f151]) ).
fof(f2839,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssItem(X0)
| ~ ssList(sk8)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssItem(X0)
| ~ memberP(sk8,X0) )
| ~ spl0_45 ),
inference(resolution,[],[f767,f152]) ).
fof(f2841,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssItem(X0)
| ~ ssList(sk8)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ memberP(sk8,X0) )
| ~ spl0_45 ),
inference(duplicate_literal_removal,[],[f2839]) ).
fof(f2842,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssItem(X0)
| ~ ssList(sk8)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ memberP(app(sk7,cons(sk5,nil)),X0) )
| ~ spl0_45 ),
inference(duplicate_literal_removal,[],[f2838]) ).
fof(f2846,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssItem(X0)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ memberP(sk8,X0) )
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f2841,f209]) ).
fof(f2847,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssItem(X0)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ memberP(app(sk7,cons(sk5,nil)),X0) )
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f2842,f209]) ).
fof(f2850,definition,
( spl0_212
<=> ! [X0] :
( memberP(sk3,X0)
| ~ memberP(sk8,X0)
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_212])],[avatar_definition]) ).
fof(f2851,plain,
( ! [X0] :
( ~ memberP(sk8,X0)
| memberP(sk3,X0)
| ~ ssItem(X0) )
| ~ spl0_212 ),
inference(avatar_component_clause,[],[f2850]) ).
fof(f2852,plain,
( ~ spl0_24
| spl0_212
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f2846,f766,f2850,f472]) ).
fof(f2854,definition,
( spl0_213
<=> ! [X0] :
( memberP(sk3,X0)
| ~ memberP(app(sk7,cons(sk5,nil)),X0)
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_213])],[avatar_definition]) ).
fof(f2855,plain,
( ! [X0] :
( ~ memberP(app(sk7,cons(sk5,nil)),X0)
| memberP(sk3,X0)
| ~ ssItem(X0) )
| ~ spl0_213 ),
inference(avatar_component_clause,[],[f2854]) ).
fof(f2856,plain,
( ~ spl0_24
| spl0_213
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f2847,f766,f2854,f472]) ).
fof(f2925,plain,
( memberP(sk3,sk5)
| ~ ssItem(sk5)
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_213 ),
inference(resolution,[],[f2855,f229]) ).
fof(f2930,plain,
( memberP(sk3,sk5)
| ~ ssItem(sk5)
| ~ ssList(sk7)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_213 ),
inference(duplicate_literal_removal,[],[f2925]) ).
fof(f2932,plain,
( memberP(sk3,sk5)
| ~ ssList(sk7)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_213 ),
inference(forward_subsumption_resolution,[],[f2930,f206]) ).
fof(f2937,plain,
( memberP(sk3,sk5)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_213 ),
inference(forward_subsumption_resolution,[],[f2932,f208]) ).
fof(f2938,plain,
( memberP(sk3,sk5)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ spl0_213 ),
inference(forward_subsumption_resolution,[],[f2937,f8]) ).
fof(f2940,definition,
( spl0_223
<=> memberP(sk3,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_223])],[avatar_definition]) ).
fof(f2941,plain,
( memberP(sk3,sk5)
| ~ spl0_223 ),
inference(avatar_component_clause,[],[f2940]) ).
fof(f2942,plain,
( ~ spl0_24
| spl0_223
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f2938,f2854,f2940,f472]) ).
fof(f2943,plain,
( ~ ssItem(sk5)
| sk5 = sk11
| ~ spl0_4
| ~ spl0_6
| ~ spl0_223 ),
inference(resolution,[],[f2941,f1276]) ).
fof(f2944,plain,
( sk5 = sk11
| ~ spl0_4
| ~ spl0_6
| ~ spl0_223 ),
inference(forward_subsumption_resolution,[],[f2943,f206]) ).
fof(f2945,plain,
( spl0_72
| ~ spl0_4
| ~ spl0_6
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f2944,f2940,f255,f245,f1065]) ).
fof(f2957,plain,
( leq(sk11,sk11)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_44
| ~ spl0_72 ),
inference(superposition,[],[f1023,f1066]) ).
fof(f2961,plain,
( ~ leq(sk11,sk11)
| ~ spl0_72
| spl0_73 ),
inference(superposition,[],[f1069,f1066]) ).
fof(f3048,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_44
| ~ spl0_72
| spl0_73 ),
inference(forward_subsumption_resolution,[],[f2961,f2957]) ).
fof(f3049,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_44
| ~ spl0_72
| spl0_73 ),
inference(avatar_contradiction_clause,[],[f3048]) ).
fof(f3050,plain,
( ~ leq(sk10,sk11)
| ~ spl0_4
| ~ spl0_6
| spl0_8
| ~ spl0_44 ),
inference(forward_demodulation,[],[f264,f1004]) ).
fof(f3064,plain,
( memberP(sk3,sk10)
| ~ ssItem(sk10)
| ~ spl0_10
| ~ spl0_212 ),
inference(resolution,[],[f271,f2851]) ).
fof(f3065,plain,
( memberP(sk3,sk10)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_212 ),
inference(forward_subsumption_resolution,[],[f3064,f275]) ).
fof(f3066,plain,
( ~ ssItem(sk10)
| sk10 = sk11
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_212 ),
inference(resolution,[],[f3065,f1276]) ).
fof(f3067,plain,
( sk10 = sk11
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_212 ),
inference(forward_subsumption_resolution,[],[f3066,f275]) ).
fof(f3074,plain,
( ~ leq(sk11,sk11)
| ~ spl0_4
| ~ spl0_6
| spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_44
| ~ spl0_212 ),
inference(superposition,[],[f3050,f3067]) ).
fof(f3077,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_44
| ~ spl0_72
| ~ spl0_212 ),
inference(forward_subsumption_resolution,[],[f3074,f2957]) ).
fof(f3078,plain,
( ~ spl0_4
| ~ spl0_6
| spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_44
| ~ spl0_72
| ~ spl0_212 ),
inference(avatar_contradiction_clause,[],[f3077]) ).
fof(f3079,plain,
( ~ leq(sk5,sk11)
| ~ spl0_4
| ~ spl0_6
| spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_212 ),
inference(forward_demodulation,[],[f267,f3067]) ).
fof(f3080,plain,
( ~ leq(sk11,sk11)
| ~ spl0_4
| ~ spl0_6
| spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_72
| ~ spl0_212 ),
inference(forward_demodulation,[],[f3079,f1066]) ).
fof(f3081,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_44
| ~ spl0_72
| ~ spl0_212 ),
inference(forward_subsumption_resolution,[],[f3080,f2957]) ).
fof(f3082,plain,
( ~ spl0_4
| ~ spl0_6
| spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_44
| ~ spl0_72
| ~ spl0_212 ),
inference(avatar_contradiction_clause,[],[f3081]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f247]) ).
cnf(s7,plain,
( spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f257]) ).
cnf(s9,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f268]) ).
cnf(s10,plain,
( ~ spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f272]) ).
cnf(s11,plain,
( ~ spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f276]) ).
cnf(s23,plain,
( ~ spl0_21
| ~ spl0_22
| spl0_23 ),
inference(sat_conversion,[],[f470]) ).
cnf(s26,plain,
spl0_22,
inference(sat_conversion,[],[f489]) ).
cnf(s27,plain,
spl0_26,
inference(sat_conversion,[],[f493]) ).
cnf(s28,plain,
( spl0_24
| ~ spl0_26 ),
inference(sat_conversion,[],[f504]) ).
cnf(s30,plain,
( spl0_21
| ~ spl0_26
| ~ spl0_28 ),
inference(sat_conversion,[],[f524]) ).
cnf(s51,plain,
( ~ spl0_21
| ~ spl0_23
| ~ spl0_38
| spl0_44 ),
inference(sat_conversion,[],[f764]) ).
cnf(s52,plain,
( ~ spl0_21
| ~ spl0_23
| ~ spl0_38
| spl0_45 ),
inference(sat_conversion,[],[f768]) ).
cnf(s61,plain,
spl0_38,
inference(sat_conversion,[],[f810]) ).
cnf(s92,plain,
spl0_66,
inference(sat_conversion,[],[f982]) ).
cnf(s102,plain,
( ~ spl0_4
| ~ spl0_6
| spl0_7
| ~ spl0_44
| ~ spl0_73 ),
inference(sat_conversion,[],[f1071]) ).
cnf(s123,plain,
( ~ spl0_1
| ~ spl0_44 ),
inference(sat_conversion,[],[f1219]) ).
cnf(s162,plain,
( spl0_28
| ~ spl0_66 ),
inference(sat_conversion,[],[f1680]) ).
cnf(s331,plain,
( ~ spl0_24
| ~ spl0_45
| spl0_212 ),
inference(sat_conversion,[],[f2852]) ).
cnf(s332,plain,
( ~ spl0_24
| ~ spl0_45
| spl0_213 ),
inference(sat_conversion,[],[f2856]) ).
cnf(s345,plain,
( ~ spl0_24
| ~ spl0_213
| spl0_223 ),
inference(sat_conversion,[],[f2942]) ).
cnf(s346,plain,
( ~ spl0_4
| ~ spl0_6
| spl0_72
| ~ spl0_223 ),
inference(sat_conversion,[],[f2945]) ).
cnf(s347,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_44
| ~ spl0_72
| spl0_73 ),
inference(sat_conversion,[],[f3049]) ).
cnf(s350,plain,
( ~ spl0_4
| ~ spl0_6
| spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_44
| ~ spl0_72
| ~ spl0_212 ),
inference(sat_conversion,[],[f3078]) ).
cnf(s351,plain,
( ~ spl0_4
| ~ spl0_6
| spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_44
| ~ spl0_72
| ~ spl0_212 ),
inference(sat_conversion,[],[f3082]) ).
cnf(s375,plain,
spl0_28,
inference(rat,[],[s162,s92]) ).
cnf(s382,plain,
( ~ spl0_21
| ~ spl0_23
| spl0_45 ),
inference(rat,[],[s52,s61]) ).
cnf(s383,plain,
( ~ spl0_21
| ~ spl0_23
| spl0_44 ),
inference(rat,[],[s51,s61]) ).
cnf(s399,plain,
( spl0_21
| ~ spl0_26 ),
inference(rat,[],[s30,s375]) ).
cnf(s402,plain,
spl0_21,
inference(rat,[],[s399,s27]) ).
cnf(s403,plain,
spl0_24,
inference(rat,[],[s28,s27]) ).
cnf(s419,plain,
spl0_23,
inference(rat,[],[s23,s26,s402]) ).
cnf(s421,plain,
spl0_45,
inference(rat,[],[s382,s402,s419]) ).
cnf(s422,plain,
spl0_44,
inference(rat,[],[s383,s402,s419]) ).
cnf(s429,plain,
spl0_213,
inference(rat,[],[s332,s403,s421]) ).
cnf(s430,plain,
spl0_212,
inference(rat,[],[s331,s403,s421]) ).
cnf(s431,plain,
~ spl0_1,
inference(rat,[],[s123,s422]) ).
cnf(s435,plain,
spl0_223,
inference(rat,[],[s345,s403,s429]) ).
cnf(s448,plain,
spl0_6,
inference(rat,[],[s7,s431]) ).
cnf(s450,plain,
spl0_4,
inference(rat,[],[s3,s431]) ).
cnf(s451,plain,
spl0_72,
inference(rat,[],[s346,s435,s448,s450]) ).
cnf(s508,plain,
spl0_73,
inference(rat,[],[s347,s450,s448,s422,s451]) ).
cnf(s536,plain,
spl0_7,
inference(rat,[],[s102,s450,s422,s448,s508]) ).
cnf(s555,plain,
spl0_11,
inference(rat,[],[s11,s536]) ).
cnf(s556,plain,
spl0_10,
inference(rat,[],[s10,s536]) ).
cnf(s558,plain,
spl0_9,
inference(rat,[],[s351,s430,s451,s422,s555,s450,s448,s556]) ).
cnf(s559,plain,
spl0_8,
inference(rat,[],[s350,s430,s451,s422,s555,s450,s448,s556]) ).
cnf(s561,plain,
$false,
inference(rat,[],[s9,s536,s558,s559]) ).
fof(f3083,plain,
$false,
inference(avatar_sat_refutation,[],[s561]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC152-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n002.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 08:13:22 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 2.74/1.37 % (203982)Input is clausal, will run a generic CNF schedule.
% 2.74/1.37 % (203991)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1881768916:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.74/1.37 % (203991)Instruction limit reached!
% 2.74/1.37 % (203991)------------------------------
% 2.74/1.37 % (203991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.37 % (203991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.37 % (203991)CaDiCaL version: 2.1.3
% 2.74/1.37 % (203991)Termination reason: Instruction limit
% 2.74/1.37 % (203991)Termination phase: Saturation
% 2.74/1.37 % (203991)Time elapsed: 0.039 s
% 2.74/1.37 % (203991)Peak memory usage: 89 MB
% 2.74/1.37 % (203991)Instructions burned: 117 (million)
% 2.74/1.37 % (203987)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=3007727489:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.74/1.37 % (203990)lrs+10_1_sil=8000:sp=occurrence:random_seed=4032781042:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.74/1.37 % (203989)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3095521024:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.74/1.37 % (203988)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1629467808:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.74/1.37 % (203993)dis-21_1_sil=8000:lcm=predicate:random_seed=373717791: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)
% 2.74/1.37 % (203992)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3706618226:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.74/1.37 % (203990)Instruction limit reached!
% 2.74/1.37 % (203990)------------------------------
% 2.74/1.37 % (203990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.37 % (203990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.37 % (203990)CaDiCaL version: 2.1.3
% 2.74/1.37 % (203990)Termination reason: Instruction limit
% 2.74/1.37 % (203990)Termination phase: Saturation
% 2.74/1.37 % (203990)Time elapsed: 0.064 s
% 2.74/1.37 % (203990)Peak memory usage: 90 MB
% 2.74/1.37 % (203990)Instructions burned: 109 (million)
% 2.74/1.37 % (203993)Instruction limit reached!
% 2.74/1.37 % (203993)------------------------------
% 2.74/1.37 % (203993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.37 % (203993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.37 % (203993)CaDiCaL version: 2.1.3
% 2.74/1.37 % (203993)Termination reason: Instruction limit
% 2.74/1.37 % (203993)Termination phase: Saturation
% 2.74/1.37 % (203993)Time elapsed: 0.055 s
% 2.74/1.37 % (203993)Peak memory usage: 89 MB
% 2.74/1.37 % (203993)Instructions burned: 120 (million)
% 2.74/1.37 % (203999)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=4096567469:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.74/1.37 % (203992)Instruction limit reached!
% 2.74/1.37 % (203992)------------------------------
% 2.74/1.37 % (203992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.37 % (203992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.37 % (203992)CaDiCaL version: 2.1.3
% 2.74/1.37 % (203992)Termination reason: Instruction limit
% 2.74/1.37 % (203992)Termination phase: Saturation
% 2.74/1.37 % (203992)Time elapsed: 0.120 s
% 2.74/1.37 % (203992)Peak memory usage: 90 MB
% 2.74/1.37 % (203992)Instructions burned: 181 (million)
% 2.74/1.37 % (203999)First to succeed.
% 2.74/1.37 % (203999)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-203982"
% 2.74/1.37 % (204003)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3145417865:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 2.74/1.37 % (204002)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3406039217: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)
% 2.74/1.37 % (204005)lrs+10_64_to=lpo:sil=8000:random_seed=205966518:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 2.74/1.37 % (203999)Refutation found. Thanks to Tanya!
% 2.74/1.37 % SZS status Unsatisfiable for theBenchmark
% 2.74/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 4.03/1.47 % (203999)------------------------------
% 4.03/1.47 % (203999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.47 % (203999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.47 % (203999)CaDiCaL version: 2.1.3
% 4.03/1.47 % (203999)Termination reason: Refutation
% 4.03/1.47 % (203999)Time elapsed: 0.035 s
% 4.03/1.47 % (203999)Peak memory usage: 91 MB
% 4.03/1.47 % (203999)Instructions burned: 95 (million)
% 4.03/1.47 % (203999)------------------------------
% 4.03/1.47 % (203999)------------------------------
% 4.03/1.47 % (203982)Success in time 0.502 s
% 4.03/1.47 % Vampire exiting
%------------------------------------------------------------------------------