%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC306-1 : 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 : n010.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 01:03:23 PM UTC 2026
% Result : Unsatisfiable 3.72s 1.30s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 39
% Syntax : Number of formulae : 183 ( 36 unt; 19 def)
% Number of atoms : 520 ( 37 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 646 ( 309 ~; 318 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 25 ( 23 usr; 20 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 49 ( 0 sgn 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f63,axiom,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
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(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(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,
lt(sk6,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f215,negated_conjecture,
( ssItem(sk10)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f219,negated_conjecture,
( cons(sk10,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f220,plain,
( sk3 = cons(sk10,nil)
| nil = sk3 ),
inference(reorient_equations,[],[f219]) ).
fof(f225,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(f231,definition,
( spl0_1
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f232,plain,
( nil = sk3
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f238,definition,
( spl0_3
<=> sk3 = cons(sk10,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f239,plain,
( sk3 = cons(sk10,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f240,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f220,f238,f231]) ).
fof(f247,definition,
( spl0_5
<=> ssItem(sk10) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f248,plain,
( ssItem(sk10)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f249,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f215,f247,f231]) ).
fof(f285,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssList(nil)
| ~ ssItem(sk10)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk10 = X0 )
| ~ spl0_3 ),
inference(superposition,[],[f174,f239]) ).
fof(f298,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(sk10)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk10 = X0 )
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f285,f8]) ).
fof(f308,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk10 = X0 )
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f298,f248]) ).
fof(f311,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| sk10 = X0 )
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f308,f71]) ).
fof(f312,plain,
sk3 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
inference(forward_demodulation,[],[f212,f205]) ).
fof(f318,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,[],[f312,f161]) ).
fof(f323,plain,
! [X0] :
( memberP(sk3,X0)
| ~ ssList(sk9)
| ~ ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))
| ~ ssItem(X0)
| ~ memberP(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),X0) ),
inference(superposition,[],[f151,f312]) ).
fof(f340,plain,
! [X0] :
( memberP(sk3,X0)
| ~ ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))
| ~ ssItem(X0)
| ~ memberP(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),X0) ),
inference(forward_subsumption_resolution,[],[f323,f210]) ).
fof(f342,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,[],[f318,f210]) ).
fof(f346,definition,
( spl0_8
<=> ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil))) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f347,plain,
( ~ ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))
| spl0_8 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f375,definition,
( spl0_15
<=> ! [X0] :
( memberP(sk3,X0)
| ~ memberP(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),X0)
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f376,plain,
( ! [X0] :
( ~ memberP(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),X0)
| memberP(sk3,X0)
| ~ ssItem(X0) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f377,plain,
( ~ spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f340,f375,f346]) ).
fof(f379,definition,
( spl0_16
<=> ssList(app(app(sk7,cons(sk5,nil)),sk8)) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f380,plain,
( ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
| spl0_16 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f382,definition,
( spl0_17
<=> ssList(cons(sk6,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f383,plain,
( ~ ssList(cons(sk6,nil))
| spl0_17 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f385,definition,
( spl0_18
<=> sk3 = app(app(app(sk7,cons(sk5,nil)),sk8),app(cons(sk6,nil),sk9)) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f386,plain,
( sk3 = app(app(app(sk7,cons(sk5,nil)),sk8),app(cons(sk6,nil),sk9))
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f388,plain,
( ~ spl0_16
| ~ spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f342,f385,f382,f379]) ).
fof(f390,definition,
( spl0_19
<=> ssList(app(sk7,cons(sk5,nil))) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f391,plain,
( ~ ssList(app(sk7,cons(sk5,nil)))
| spl0_19 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f398,definition,
( spl0_21
<=> ssList(cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f399,plain,
( ~ ssList(cons(sk5,nil))
| spl0_21 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f404,plain,
( ~ ssList(nil)
| ~ ssItem(sk6)
| spl0_17 ),
inference(resolution,[],[f383,f86]) ).
fof(f405,plain,
( ~ ssItem(sk6)
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f404,f8]) ).
fof(f406,plain,
( $false
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f405,f207]) ).
fof(f407,plain,
spl0_17,
inference(avatar_contradiction_clause,[],[f406]) ).
fof(f408,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_21 ),
inference(resolution,[],[f399,f86]) ).
fof(f409,plain,
( ~ ssItem(sk5)
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f408,f8]) ).
fof(f410,plain,
( $false
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f409,f206]) ).
fof(f411,plain,
spl0_21,
inference(avatar_contradiction_clause,[],[f410]) ).
fof(f412,plain,
( ~ ssList(sk7)
| ~ ssList(cons(sk5,nil))
| spl0_19 ),
inference(resolution,[],[f391,f85]) ).
fof(f413,plain,
( ~ ssList(cons(sk5,nil))
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f412,f208]) ).
fof(f414,plain,
( ~ spl0_21
| spl0_19 ),
inference(avatar_split_clause,[],[f413,f390,f398]) ).
fof(f416,plain,
( ~ ssList(app(sk7,app(cons(sk5,nil),sk8)))
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk7)
| ~ ssList(sk8)
| spl0_16 ),
inference(superposition,[],[f380,f161]) ).
fof(f417,plain,
( ~ ssList(app(sk7,app(cons(sk5,nil),sk8)))
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk8)
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f416,f208]) ).
fof(f419,plain,
( ~ ssList(app(sk7,app(cons(sk5,nil),sk8)))
| ~ ssList(cons(sk5,nil))
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f417,f209]) ).
fof(f422,definition,
( spl0_23
<=> ssList(app(sk7,app(cons(sk5,nil),sk8))) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f423,plain,
( ~ ssList(app(sk7,app(cons(sk5,nil),sk8)))
| spl0_23 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f424,plain,
( ~ spl0_21
| ~ spl0_23
| spl0_16 ),
inference(avatar_split_clause,[],[f419,f379,f422,f398]) ).
fof(f651,plain,
( ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
| ~ ssList(cons(sk6,nil))
| spl0_8 ),
inference(resolution,[],[f347,f85]) ).
fof(f656,plain,
( ~ spl0_17
| ~ spl0_16
| spl0_8 ),
inference(avatar_split_clause,[],[f651,f346,f379,f382]) ).
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(app(sk7,cons(sk5,nil)),sk8),X0) )
| ~ spl0_18 ),
inference(superposition,[],[f151,f386]) ).
fof(f738,definition,
( spl0_39
<=> ssList(app(cons(sk6,nil),sk9)) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f739,plain,
( ~ ssList(app(cons(sk6,nil),sk9))
| spl0_39 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f767,definition,
( spl0_46
<=> ! [X0] :
( memberP(sk3,X0)
| ~ memberP(app(app(sk7,cons(sk5,nil)),sk8),X0)
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f768,plain,
( ! [X0] :
( ~ memberP(app(app(sk7,cons(sk5,nil)),sk8),X0)
| memberP(sk3,X0)
| ~ ssItem(X0) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f769,plain,
( ~ spl0_16
| ~ spl0_39
| spl0_46
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f728,f385,f767,f738,f379]) ).
fof(f805,plain,
( ~ ssList(cons(sk6,sk9))
| ~ ssList(sk9)
| ~ ssItem(sk6)
| spl0_39 ),
inference(superposition,[],[f739,f126]) ).
fof(f806,plain,
( ~ ssList(sk9)
| ~ ssItem(sk6)
| spl0_39 ),
inference(forward_subsumption_resolution,[],[f805,f86]) ).
fof(f808,plain,
( ~ ssItem(sk6)
| spl0_39 ),
inference(forward_subsumption_resolution,[],[f806,f210]) ).
fof(f810,plain,
( $false
| spl0_39 ),
inference(forward_subsumption_resolution,[],[f808,f207]) ).
fof(f811,plain,
spl0_39,
inference(avatar_contradiction_clause,[],[f810]) ).
fof(f902,definition,
( spl0_59
<=> ssList(app(sk7,cons(sk5,sk8))) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f903,plain,
( ~ ssList(app(sk7,cons(sk5,sk8)))
| spl0_59 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f909,definition,
( spl0_61
<=> ssList(cons(sk5,sk8)) ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
fof(f910,plain,
( ~ ssList(cons(sk5,sk8))
| spl0_61 ),
inference(avatar_component_clause,[],[f909]) ).
fof(f915,plain,
( ~ ssList(sk8)
| ~ ssItem(sk5)
| spl0_61 ),
inference(resolution,[],[f910,f86]) ).
fof(f916,plain,
( ~ ssItem(sk5)
| spl0_61 ),
inference(forward_subsumption_resolution,[],[f915,f209]) ).
fof(f917,plain,
( $false
| spl0_61 ),
inference(forward_subsumption_resolution,[],[f916,f206]) ).
fof(f918,plain,
spl0_61,
inference(avatar_contradiction_clause,[],[f917]) ).
fof(f975,plain,
( ~ ssList(sk7)
| ~ ssList(cons(sk5,sk8))
| spl0_59 ),
inference(resolution,[],[f903,f85]) ).
fof(f976,plain,
( ~ ssList(cons(sk5,sk8))
| spl0_59 ),
inference(forward_subsumption_resolution,[],[f975,f208]) ).
fof(f977,plain,
( ~ spl0_61
| spl0_59 ),
inference(avatar_split_clause,[],[f976,f902,f909]) ).
fof(f979,plain,
( ~ ssList(app(sk7,cons(sk5,sk8)))
| ~ ssList(sk8)
| ~ ssItem(sk5)
| spl0_23 ),
inference(superposition,[],[f423,f126]) ).
fof(f980,plain,
( ~ ssList(app(sk7,cons(sk5,sk8)))
| ~ ssItem(sk5)
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f979,f209]) ).
fof(f982,plain,
( ~ ssList(app(sk7,cons(sk5,sk8)))
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f980,f206]) ).
fof(f984,plain,
( ~ spl0_59
| spl0_23 ),
inference(avatar_split_clause,[],[f982,f422,f902]) ).
fof(f1008,plain,
( memberP(sk3,sk6)
| ~ ssItem(sk6)
| ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
| ~ ssItem(sk6)
| ~ ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))
| ~ ssList(nil)
| ~ spl0_15 ),
inference(resolution,[],[f376,f225]) ).
fof(f1015,plain,
( memberP(sk3,sk6)
| ~ ssItem(sk6)
| ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
| ~ ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))
| ~ ssList(nil)
| ~ spl0_15 ),
inference(duplicate_literal_removal,[],[f1008]) ).
fof(f1024,plain,
( memberP(sk3,sk6)
| ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
| ~ ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))
| ~ ssList(nil)
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1015,f207]) ).
fof(f1027,plain,
( memberP(sk3,sk6)
| ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
| ~ ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1024,f8]) ).
fof(f1030,definition,
( spl0_73
<=> memberP(sk3,sk6) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f1031,plain,
( memberP(sk3,sk6)
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f1030]) ).
fof(f1032,plain,
( ~ spl0_8
| ~ spl0_16
| spl0_73
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f1027,f375,f1030,f379,f346]) ).
fof(f1033,plain,
( ~ ssItem(sk6)
| sk6 = sk10
| ~ spl0_3
| ~ spl0_5
| ~ spl0_73 ),
inference(resolution,[],[f1031,f311]) ).
fof(f1034,plain,
( sk6 = sk10
| ~ spl0_3
| ~ spl0_5
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f1033,f207]) ).
fof(f1046,plain,
( lt(sk10,sk5)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_73 ),
inference(superposition,[],[f213,f1034]) ).
fof(f1135,plain,
( memberP(nil,sk6)
| ~ spl0_1
| ~ spl0_73 ),
inference(superposition,[],[f1031,f232]) ).
fof(f1152,plain,
( ~ ssItem(sk6)
| ~ spl0_1
| ~ spl0_73 ),
inference(resolution,[],[f1135,f71]) ).
fof(f1153,plain,
( $false
| ~ spl0_1
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f1152,f207]) ).
fof(f1154,plain,
( ~ spl0_1
| ~ spl0_73 ),
inference(avatar_contradiction_clause,[],[f1153]) ).
fof(f1189,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssList(nil)
| ~ ssItem(sk10)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk10 = X0 )
| ~ spl0_3 ),
inference(superposition,[],[f174,f239]) ).
fof(f1202,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(sk10)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk10 = X0 )
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f1189,f8]) ).
fof(f1212,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk10 = X0 )
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f1202,f248]) ).
fof(f1215,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| sk10 = X0 )
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f1212,f71]) ).
fof(f1345,definition,
( spl0_87
<=> sk5 = sk10 ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f1346,plain,
( sk5 = sk10
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f1345]) ).
fof(f2753,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_46 ),
inference(resolution,[],[f768,f151]) ).
fof(f2757,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssItem(X0)
| ~ ssList(sk8)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ memberP(app(sk7,cons(sk5,nil)),X0) )
| ~ spl0_46 ),
inference(duplicate_literal_removal,[],[f2753]) ).
fof(f2762,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssItem(X0)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ memberP(app(sk7,cons(sk5,nil)),X0) )
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2757,f209]) ).
fof(f2769,definition,
( spl0_214
<=> ! [X0] :
( memberP(sk3,X0)
| ~ memberP(app(sk7,cons(sk5,nil)),X0)
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_214])],[avatar_definition]) ).
fof(f2770,plain,
( ! [X0] :
( ~ memberP(app(sk7,cons(sk5,nil)),X0)
| memberP(sk3,X0)
| ~ ssItem(X0) )
| ~ spl0_214 ),
inference(avatar_component_clause,[],[f2769]) ).
fof(f2771,plain,
( ~ spl0_19
| spl0_214
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f2762,f767,f2769,f390]) ).
fof(f2854,plain,
( memberP(sk3,sk5)
| ~ ssItem(sk5)
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_214 ),
inference(resolution,[],[f2770,f225]) ).
fof(f2859,plain,
( memberP(sk3,sk5)
| ~ ssItem(sk5)
| ~ ssList(sk7)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_214 ),
inference(duplicate_literal_removal,[],[f2854]) ).
fof(f2861,plain,
( memberP(sk3,sk5)
| ~ ssList(sk7)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_214 ),
inference(forward_subsumption_resolution,[],[f2859,f206]) ).
fof(f2866,plain,
( memberP(sk3,sk5)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_214 ),
inference(forward_subsumption_resolution,[],[f2861,f208]) ).
fof(f2867,plain,
( memberP(sk3,sk5)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ spl0_214 ),
inference(forward_subsumption_resolution,[],[f2866,f8]) ).
fof(f2869,definition,
( spl0_226
<=> memberP(sk3,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_226])],[avatar_definition]) ).
fof(f2870,plain,
( memberP(sk3,sk5)
| ~ spl0_226 ),
inference(avatar_component_clause,[],[f2869]) ).
fof(f2871,plain,
( ~ spl0_19
| spl0_226
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f2867,f2769,f2869,f390]) ).
fof(f2872,plain,
( ~ ssItem(sk5)
| sk5 = sk10
| ~ spl0_3
| ~ spl0_5
| ~ spl0_226 ),
inference(resolution,[],[f2870,f1215]) ).
fof(f2873,plain,
( sk5 = sk10
| ~ spl0_3
| ~ spl0_5
| ~ spl0_226 ),
inference(forward_subsumption_resolution,[],[f2872,f206]) ).
fof(f2874,plain,
( spl0_87
| ~ spl0_3
| ~ spl0_5
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f2873,f2869,f247,f238,f1345]) ).
fof(f2893,plain,
( lt(sk10,sk10)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_73
| ~ spl0_87 ),
inference(superposition,[],[f1046,f1346]) ).
fof(f2997,plain,
( ~ ssItem(sk10)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_73
| ~ spl0_87 ),
inference(resolution,[],[f2893,f63]) ).
fof(f3010,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_73
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[],[f2997,f248]) ).
fof(f3011,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_73
| ~ spl0_87 ),
inference(avatar_contradiction_clause,[],[f3010]) ).
cnf(s2,plain,
( spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f240]) ).
cnf(s5,plain,
( spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f249]) ).
cnf(s16,plain,
( ~ spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f377]) ).
cnf(s18,plain,
( ~ spl0_16
| ~ spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f388]) ).
cnf(s21,plain,
spl0_17,
inference(sat_conversion,[],[f407]) ).
cnf(s22,plain,
spl0_21,
inference(sat_conversion,[],[f411]) ).
cnf(s23,plain,
( spl0_19
| ~ spl0_21 ),
inference(sat_conversion,[],[f414]) ).
cnf(s25,plain,
( spl0_16
| ~ spl0_21
| ~ spl0_23 ),
inference(sat_conversion,[],[f424]) ).
cnf(s34,plain,
( spl0_8
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f656]) ).
cnf(s52,plain,
( ~ spl0_16
| ~ spl0_18
| ~ spl0_39
| spl0_46 ),
inference(sat_conversion,[],[f769]) ).
cnf(s61,plain,
spl0_39,
inference(sat_conversion,[],[f811]) ).
cnf(s79,plain,
spl0_61,
inference(sat_conversion,[],[f918]) ).
cnf(s90,plain,
( spl0_59
| ~ spl0_61 ),
inference(sat_conversion,[],[f977]) ).
cnf(s92,plain,
( spl0_23
| ~ spl0_59 ),
inference(sat_conversion,[],[f984]) ).
cnf(s101,plain,
( ~ spl0_8
| ~ spl0_15
| ~ spl0_16
| spl0_73 ),
inference(sat_conversion,[],[f1032]) ).
cnf(s116,plain,
( ~ spl0_1
| ~ spl0_73 ),
inference(sat_conversion,[],[f1154]) ).
cnf(s325,plain,
( ~ spl0_19
| ~ spl0_46
| spl0_214 ),
inference(sat_conversion,[],[f2771]) ).
cnf(s340,plain,
( ~ spl0_19
| ~ spl0_214
| spl0_226 ),
inference(sat_conversion,[],[f2871]) ).
cnf(s341,plain,
( ~ spl0_3
| ~ spl0_5
| spl0_87
| ~ spl0_226 ),
inference(sat_conversion,[],[f2874]) ).
cnf(s343,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_73
| ~ spl0_87 ),
inference(sat_conversion,[],[f3011]) ).
cnf(s360,plain,
spl0_59,
inference(rat,[],[s90,s79]) ).
cnf(s365,plain,
spl0_23,
inference(rat,[],[s92,s360]) ).
cnf(s373,plain,
( ~ spl0_16
| ~ spl0_18
| spl0_46 ),
inference(rat,[],[s52,s61]) ).
cnf(s390,plain,
( spl0_16
| ~ spl0_21 ),
inference(rat,[],[s25,s365]) ).
cnf(s392,plain,
spl0_16,
inference(rat,[],[s390,s22]) ).
cnf(s393,plain,
spl0_19,
inference(rat,[],[s23,s22]) ).
cnf(s396,plain,
spl0_8,
inference(rat,[],[s34,s392,s21]) ).
cnf(s409,plain,
spl0_18,
inference(rat,[],[s18,s21,s392]) ).
cnf(s411,plain,
spl0_46,
inference(rat,[],[s373,s392,s409]) ).
cnf(s419,plain,
spl0_214,
inference(rat,[],[s325,s393,s411]) ).
cnf(s423,plain,
spl0_226,
inference(rat,[],[s340,s393,s419]) ).
cnf(s425,plain,
spl0_15,
inference(rat,[],[s16,s396]) ).
cnf(s426,plain,
spl0_73,
inference(rat,[],[s101,s396,s392,s425]) ).
cnf(s429,plain,
~ spl0_1,
inference(rat,[],[s116,s426]) ).
cnf(s446,plain,
spl0_5,
inference(rat,[],[s5,s429]) ).
cnf(s448,plain,
spl0_3,
inference(rat,[],[s2,s429]) ).
cnf(s449,plain,
~ spl0_87,
inference(rat,[],[s343,s446,s426,s448]) ).
cnf(s450,plain,
$false,
inference(rat,[],[s341,s423,s446,s449,s448]) ).
fof(f3012,plain,
$false,
inference(avatar_sat_refutation,[],[s450]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC306-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n010.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 09:00:02 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 3.72/1.30 % (1786743)Input is clausal, will run a generic CNF schedule.
% 3.72/1.30 % (1786750)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=937550020:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.72/1.30 % (1786753)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2225323611:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.72/1.30 % (1786751)lrs+10_1_sil=8000:sp=occurrence:random_seed=4045646608:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.72/1.30 % (1786749)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1239040544:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.72/1.30 % (1786754)dis-21_1_sil=8000:lcm=predicate:random_seed=4152943065: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)
% 3.72/1.30 % (1786748)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=4061034725:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.72/1.30 % (1786752)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=92095494:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.72/1.30 % (1786754)Instruction limit reached!
% 3.72/1.30 % (1786754)------------------------------
% 3.72/1.30 % (1786754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.30 % (1786754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.30 % (1786754)CaDiCaL version: 2.1.3
% 3.72/1.30 % (1786754)Termination reason: Instruction limit
% 3.72/1.30 % (1786754)Termination phase: Saturation
% 3.72/1.30 % (1786754)Time elapsed: 0.054 s
% 3.72/1.30 % (1786754)Peak memory usage: 89 MB
% 3.72/1.30 % (1786754)Instructions burned: 119 (million)
% 3.72/1.30 % (1786751)Instruction limit reached!
% 3.72/1.30 % (1786751)------------------------------
% 3.72/1.30 % (1786751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.30 % (1786751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.30 % (1786751)CaDiCaL version: 2.1.3
% 3.72/1.30 % (1786751)Termination reason: Instruction limit
% 3.72/1.30 % (1786751)Termination phase: Saturation
% 3.72/1.30 % (1786751)Time elapsed: 0.062 s
% 3.72/1.30 % (1786751)Peak memory usage: 90 MB
% 3.72/1.30 % (1786751)Instructions burned: 107 (million)
% 3.72/1.30 % (1786752)Instruction limit reached!
% 3.72/1.30 % (1786752)------------------------------
% 3.72/1.30 % (1786752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.30 % (1786752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.30 % (1786752)CaDiCaL version: 2.1.3
% 3.72/1.30 % (1786752)Termination reason: Instruction limit
% 3.72/1.30 % (1786752)Termination phase: Saturation
% 3.72/1.30 % (1786752)Time elapsed: 0.069 s
% 3.72/1.30 % (1786752)Peak memory usage: 89 MB
% 3.72/1.30 % (1786752)Instructions burned: 114 (million)
% 3.72/1.30 % (1786753)Instruction limit reached!
% 3.72/1.30 % (1786753)------------------------------
% 3.72/1.30 % (1786753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.30 % (1786753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.30 % (1786753)CaDiCaL version: 2.1.3
% 3.72/1.30 % (1786753)Termination reason: Instruction limit
% 3.72/1.30 % (1786753)Termination phase: Saturation
% 3.72/1.30 % (1786753)Time elapsed: 0.121 s
% 3.72/1.30 % (1786753)Peak memory usage: 90 MB
% 3.72/1.30 % (1786753)Instructions burned: 180 (million)
% 3.72/1.30 % (1786762)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=2900517561:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.72/1.30 % (1786763)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3436431520: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)
% 3.72/1.30 % (1786764)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4203854418:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.72/1.30 % (1786762)First to succeed.
% 3.72/1.30 % (1786762)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1786743"
% 3.72/1.30 % (1786765)lrs+10_64_to=lpo:sil=8000:random_seed=969784993:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 3.72/1.30 % (1786763)Instruction limit reached!
% 3.72/1.30 % (1786763)------------------------------
% 3.72/1.30 % (1786763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.30 % (1786763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.30 % (1786763)CaDiCaL version: 2.1.3
% 3.72/1.30 % (1786763)Termination reason: Instruction limit
% 3.72/1.30 % (1786763)Termination phase: Saturation
% 3.72/1.30 % (1786763)Time elapsed: 0.100 s
% 3.72/1.30 % (1786763)Peak memory usage: 91 MB
% 3.72/1.30 % (1786763)Instructions burned: 189 (million)
% 3.72/1.30 % (1786765)Instruction limit reached!
% 3.72/1.30 % (1786765)------------------------------
% 3.72/1.30 % (1786765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.30 % (1786765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.30 % (1786765)CaDiCaL version: 2.1.3
% 3.72/1.30 % (1786765)Termination reason: Instruction limit
% 3.72/1.30 % (1786765)Termination phase: Saturation
% 3.72/1.30 % (1786765)Time elapsed: 0.066 s
% 3.72/1.30 % (1786765)Peak memory usage: 90 MB
% 3.72/1.30 % (1786765)Instructions burned: 127 (million)
% 3.72/1.30 % (1786764)Instruction limit reached!
% 3.72/1.30 % (1786764)------------------------------
% 3.72/1.30 % (1786764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.30 % (1786764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.30 % (1786764)CaDiCaL version: 2.1.3
% 3.72/1.30 % (1786764)Termination reason: Instruction limit
% 3.72/1.30 % (1786764)Termination phase: Saturation
% 3.72/1.30 % (1786764)Time elapsed: 0.135 s
% 3.72/1.30 % (1786764)Peak memory usage: 91 MB
% 3.72/1.30 % (1786764)Instructions burned: 219 (million)
% 3.72/1.30 % (1786770)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2489702420:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 3.72/1.30 % (1786771)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1494210192:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 3.72/1.30 % (1786770)Instruction limit reached!
% 3.72/1.30 % (1786770)------------------------------
% 3.72/1.30 % (1786770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.30 % (1786770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.30 % (1786770)CaDiCaL version: 2.1.3
% 3.72/1.30 % (1786770)Termination reason: Instruction limit
% 3.72/1.30 % (1786770)Termination phase: Saturation
% 3.72/1.30 % (1786770)Time elapsed: 0.065 s
% 3.72/1.30 % (1786770)Peak memory usage: 91 MB
% 3.72/1.30 % (1786770)Instructions burned: 196 (million)
% 3.72/1.30 % (1786772)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2686951157:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 3.72/1.30 % (1786762)Refutation found. Thanks to Tanya!
% 3.72/1.30 % SZS status Unsatisfiable for theBenchmark
% 3.72/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.40 % (1786762)------------------------------
% 0.20/1.40 % (1786762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.40 % (1786762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.40 % (1786762)CaDiCaL version: 2.1.3
% 0.20/1.40 % (1786762)Termination reason: Refutation
% 0.20/1.40 % (1786762)Time elapsed: 0.061 s
% 0.20/1.40 % (1786762)Peak memory usage: 91 MB
% 0.20/1.40 % (1786762)Instructions burned: 93 (million)
% 0.20/1.40 % (1786762)------------------------------
% 0.20/1.40 % (1786762)------------------------------
% 0.20/1.40 % (1786743)Success in time 0.642 s
% 0.20/1.40 % Vampire exiting
%------------------------------------------------------------------------------