%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC066-1 : 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 : n007.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 01:02:17 PM UTC 2026
% Result : Unsatisfiable 6.63s 1.94s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 34
% Syntax : Number of formulae : 149 ( 20 unt; 10 def)
% Number of atoms : 485 ( 63 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 638 ( 302 ~; 326 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 11 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 58 ( 0 sgn 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f56,axiom,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
fof(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
fof(f67,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f77,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f78,axiom,
! [X0] :
( ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
fof(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
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(f100,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
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] :
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
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] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
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(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
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,
segmentP(sk4,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f208,negated_conjecture,
! [X0] :
( ~ neq(sk3,X0)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(X0,sk3)
| ~ totalorderedP(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f210,negated_conjecture,
! [X0] :
( nil = sk2
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( nil != sk1
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f212,negated_conjecture,
! [X0] :
( nil != sk1
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f216,plain,
! [X0] :
( nil = sk4
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(definition_unfolding,[],[f210,f204,f204,f205]) ).
fof(f217,plain,
( nil != sk3
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f211,f205,f204]) ).
fof(f218,plain,
! [X0] :
( nil != sk3
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(definition_unfolding,[],[f212,f205,f204,f205]) ).
fof(f233,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X2) ),
inference(equality_resolution,[],[f187]) ).
fof(f250,definition,
( spl0_1
<=> ! [X0] :
( ~ ssList(X0)
| ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f251,plain,
( ! [X0] :
( ~ neq(X0,nil)
| ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ ssList(X0) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f253,definition,
( spl0_2
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f254,plain,
( nil = sk3
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f255,plain,
( nil != sk3
| spl0_2 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f256,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f218,f253,f250]) ).
fof(f258,definition,
( spl0_3
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f260,plain,
( neq(sk4,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f261,plain,
( spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f217,f253,f258]) ).
fof(f263,definition,
( spl0_4
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f264,plain,
( nil != sk4
| spl0_4 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f265,plain,
( nil = sk4
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f266,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f216,f263,f250]) ).
fof(f273,definition,
( spl0_6
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f274,plain,
( ssList(nil)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f278,definition,
( spl0_7
<=> ! [X1] :
( ~ ssItem(X1)
| totalorderedP(cons(X1,nil)) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f279,plain,
( ! [X1] :
( totalorderedP(cons(X1,nil))
| ~ ssItem(X1) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f307,plain,
spl0_7,
inference(avatar_split_clause,[],[f67,f278]) ).
fof(f309,plain,
spl0_6,
inference(avatar_split_clause,[],[f8,f273]) ).
fof(f310,plain,
! [X0] :
( ~ ssList(sk3)
| ~ ssList(X0)
| sk3 = X0
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(X0,sk3)
| ~ totalorderedP(X0) ),
inference(resolution,[],[f102,f208]) ).
fof(f311,plain,
! [X0] :
( ~ ssList(sk3)
| ~ ssList(X0)
| sk3 = X0
| ~ segmentP(sk4,X0)
| ~ segmentP(X0,sk3)
| ~ totalorderedP(X0) ),
inference(duplicate_literal_removal,[],[f310]) ).
fof(f312,plain,
! [X0] :
( ~ ssList(X0)
| sk3 = X0
| ~ segmentP(sk4,X0)
| ~ segmentP(X0,sk3)
| ~ totalorderedP(X0) ),
inference(forward_subsumption_resolution,[],[f311,f202]) ).
fof(f314,plain,
( segmentP(nil,sk3)
| ~ spl0_4 ),
inference(superposition,[],[f206,f265]) ).
fof(f315,plain,
( ~ ssList(sk3)
| nil = sk3
| ~ spl0_4 ),
inference(resolution,[],[f80,f314]) ).
fof(f318,plain,
( nil = sk3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f315,f202]) ).
fof(f319,plain,
( $false
| spl0_2
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f318,f255]) ).
fof(f320,plain,
( spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f319]) ).
fof(f321,plain,
( ! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| ~ segmentP(sk3,X0)
| ~ neq(X0,nil) )
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f251,f265]) ).
fof(f322,plain,
( neq(nil,nil)
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f260,f265]) ).
fof(f323,plain,
( ! [X0] :
( ~ segmentP(nil,X0)
| ~ segmentP(nil,X0)
| ~ ssList(X0)
| ~ neq(X0,nil) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f321,f254]) ).
fof(f324,plain,
( ! [X0] :
( ~ neq(X0,nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f323]) ).
fof(f327,plain,
( ~ ssList(nil)
| ~ segmentP(nil,nil)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(resolution,[],[f322,f324]) ).
fof(f328,plain,
( ~ ssList(nil)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f327,f57]) ).
fof(f329,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f328,f274]) ).
fof(f330,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f329]) ).
fof(f331,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(X0,sk3)
| ~ totalorderedP(X0) )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f312,f254]) ).
fof(f333,plain,
( ! [X0] :
( ~ segmentP(X0,nil)
| nil = X0
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ totalorderedP(X0) )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f331,f254]) ).
fof(f334,plain,
( ! [X0] :
( ~ segmentP(sk4,X0)
| ~ ssList(X0)
| nil = X0
| ~ totalorderedP(X0) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f333,f56]) ).
fof(f371,plain,
( sk4 = cons(hd(sk4),tl(sk4))
| nil = sk4 ),
inference(resolution,[],[f107,f203]) ).
fof(f372,plain,
( sk4 = cons(hd(sk4),tl(sk4))
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f371,f264]) ).
fof(f412,definition,
( spl0_14
<=> ssList(tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f413,plain,
( ssList(tl(sk4))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f414,plain,
( ~ ssList(tl(sk4))
| spl0_14 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f428,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_14 ),
inference(resolution,[],[f414,f77]) ).
fof(f429,plain,
( nil = sk4
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f428,f203]) ).
fof(f430,plain,
( $false
| spl0_4
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f429,f264]) ).
fof(f431,plain,
( spl0_4
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f430]) ).
fof(f445,plain,
! [X0,X1] :
( ~ ssList(X1)
| cons(hd(X1),X0) = app(cons(hd(X1),nil),X0)
| ~ ssList(X0)
| nil = X1 ),
inference(resolution,[],[f126,f78]) ).
fof(f453,plain,
! [X0] :
( cons(hd(sk4),X0) = app(cons(hd(sk4),nil),X0)
| ~ ssList(X0)
| nil = sk4 ),
inference(resolution,[],[f445,f203]) ).
fof(f454,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(hd(sk4),X0) = app(cons(hd(sk4),nil),X0) )
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f453,f264]) ).
fof(f466,plain,
( cons(hd(sk4),tl(sk4)) = app(cons(hd(sk4),nil),tl(sk4))
| spl0_4
| ~ spl0_14 ),
inference(resolution,[],[f454,f413]) ).
fof(f470,plain,
( sk4 = app(cons(hd(sk4),nil),tl(sk4))
| spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[],[f466,f372]) ).
fof(f500,definition,
( spl0_23
<=> ssList(cons(hd(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f501,plain,
( ssList(cons(hd(sk4),nil))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f502,plain,
( ~ ssList(cons(hd(sk4),nil))
| spl0_23 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f510,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk4))
| spl0_23 ),
inference(resolution,[],[f502,f86]) ).
fof(f511,plain,
( ~ ssItem(hd(sk4))
| ~ spl0_6
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f510,f274]) ).
fof(f514,plain,
( ~ ssList(sk4)
| nil = sk4
| ~ spl0_6
| spl0_23 ),
inference(resolution,[],[f511,f78]) ).
fof(f515,plain,
( nil = sk4
| ~ spl0_6
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f514,f203]) ).
fof(f516,plain,
( $false
| spl0_4
| ~ spl0_6
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f515,f264]) ).
fof(f517,plain,
( spl0_4
| ~ spl0_6
| spl0_23 ),
inference(avatar_contradiction_clause,[],[f516]) ).
fof(f521,plain,
( cons(hd(sk4),nil) = app(nil,cons(hd(sk4),nil))
| ~ spl0_23 ),
inference(resolution,[],[f501,f74]) ).
fof(f524,definition,
( spl0_25
<=> nil = cons(hd(sk4),nil) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f525,plain,
( nil != cons(hd(sk4),nil)
| spl0_25 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f526,plain,
( nil = cons(hd(sk4),nil)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f540,plain,
( nil != nil
| ~ ssItem(hd(sk4))
| ~ ssList(nil)
| ~ spl0_25 ),
inference(superposition,[],[f100,f526]) ).
fof(f543,plain,
( ~ ssItem(hd(sk4))
| ~ ssList(nil)
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f540]) ).
fof(f546,plain,
( ~ ssItem(hd(sk4))
| ~ spl0_6
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f543,f274]) ).
fof(f549,definition,
( spl0_28
<=> ssItem(hd(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f550,plain,
( ssItem(hd(sk4))
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f551,plain,
( ~ ssItem(hd(sk4))
| spl0_28 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f560,plain,
( ~ spl0_28
| ~ spl0_6
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f546,f524,f273,f549]) ).
fof(f563,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_28 ),
inference(resolution,[],[f551,f78]) ).
fof(f564,plain,
( nil = sk4
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f563,f203]) ).
fof(f565,plain,
( $false
| spl0_4
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f564,f264]) ).
fof(f566,plain,
( spl0_4
| spl0_28 ),
inference(avatar_contradiction_clause,[],[f565]) ).
fof(f577,plain,
( ! [X0] :
( segmentP(app(cons(hd(sk4),nil),X0),cons(hd(sk4),nil))
| ~ ssList(nil)
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(app(cons(hd(sk4),nil),X0))
| ~ ssList(X0) )
| ~ spl0_23 ),
inference(superposition,[],[f233,f521]) ).
fof(f580,plain,
( ! [X0] :
( segmentP(app(cons(hd(sk4),nil),X0),cons(hd(sk4),nil))
| ~ ssList(nil)
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(X0) )
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f577,f85]) ).
fof(f582,plain,
( ! [X0] :
( segmentP(app(cons(hd(sk4),nil),X0),cons(hd(sk4),nil))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(X0) )
| ~ spl0_6
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f580,f274]) ).
fof(f584,plain,
( ! [X0] :
( segmentP(app(cons(hd(sk4),nil),X0),cons(hd(sk4),nil))
| ~ ssList(X0) )
| ~ spl0_6
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f582,f501]) ).
fof(f586,plain,
( segmentP(sk4,cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| spl0_4
| ~ spl0_6
| ~ spl0_14
| ~ spl0_23 ),
inference(superposition,[],[f584,f470]) ).
fof(f587,plain,
( segmentP(sk4,cons(hd(sk4),nil))
| spl0_4
| ~ spl0_6
| ~ spl0_14
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f586,f413]) ).
fof(f590,plain,
( ~ ssList(cons(hd(sk4),nil))
| nil = cons(hd(sk4),nil)
| ~ totalorderedP(cons(hd(sk4),nil))
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_14
| ~ spl0_23 ),
inference(resolution,[],[f587,f334]) ).
fof(f593,plain,
( nil = cons(hd(sk4),nil)
| ~ totalorderedP(cons(hd(sk4),nil))
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_14
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f590,f501]) ).
fof(f595,plain,
( ~ totalorderedP(cons(hd(sk4),nil))
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_14
| ~ spl0_23
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f593,f525]) ).
fof(f596,plain,
( ~ ssItem(hd(sk4))
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14
| ~ spl0_23
| spl0_25 ),
inference(resolution,[],[f595,f279]) ).
fof(f597,plain,
( $false
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14
| ~ spl0_23
| spl0_25
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f596,f550]) ).
fof(f598,plain,
( ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14
| ~ spl0_23
| spl0_25
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f597]) ).
fof(f601,plain,
( ! [X0] :
( ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ ssList(X0)
| ~ ssList(X0)
| ~ ssList(nil)
| nil = X0 )
| ~ spl0_1 ),
inference(resolution,[],[f251,f102]) ).
fof(f603,plain,
( ! [X0] :
( ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ ssList(X0)
| ~ ssList(nil)
| nil = X0 )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f601]) ).
fof(f605,plain,
( ! [X0] :
( ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ ssList(X0)
| nil = X0 )
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f603,f274]) ).
fof(f610,plain,
( ~ segmentP(sk3,sk3)
| ~ ssList(sk3)
| nil = sk3
| ~ spl0_1
| ~ spl0_6 ),
inference(resolution,[],[f605,f206]) ).
fof(f612,plain,
( ~ ssList(sk3)
| nil = sk3
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f610,f57]) ).
fof(f614,plain,
( nil = sk3
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f612,f202]) ).
fof(f616,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f614,f255]) ).
fof(f617,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f616]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f256]) ).
cnf(s2,plain,
( ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f261]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f266]) ).
cnf(s12,plain,
spl0_7,
inference(sat_conversion,[],[f307]) ).
cnf(s14,plain,
spl0_6,
inference(sat_conversion,[],[f309]) ).
cnf(s15,plain,
( spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f320]) ).
cnf(s16,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(sat_conversion,[],[f330]) ).
cnf(s20,plain,
( spl0_4
| spl0_14 ),
inference(sat_conversion,[],[f431]) ).
cnf(s26,plain,
( spl0_4
| ~ spl0_6
| spl0_23 ),
inference(sat_conversion,[],[f517]) ).
cnf(s31,plain,
( ~ spl0_6
| ~ spl0_25
| ~ spl0_28 ),
inference(sat_conversion,[],[f560]) ).
cnf(s33,plain,
( spl0_4
| spl0_28 ),
inference(sat_conversion,[],[f566]) ).
cnf(s36,plain,
( ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14
| ~ spl0_23
| spl0_25
| ~ spl0_28 ),
inference(sat_conversion,[],[f598]) ).
cnf(s37,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_6 ),
inference(sat_conversion,[],[f617]) ).
cnf(s43,plain,
spl0_1,
inference(rat,[],[s15,s1,s3]) ).
cnf(s44,plain,
spl0_2,
inference(rat,[],[s37,s14,s43]) ).
cnf(s46,plain,
spl0_3,
inference(rat,[],[s2,s44]) ).
cnf(s47,plain,
~ spl0_4,
inference(rat,[],[s16,s14,s44,s43,s46]) ).
cnf(s48,plain,
spl0_28,
inference(rat,[],[s33,s47]) ).
cnf(s49,plain,
spl0_23,
inference(rat,[],[s26,s14,s47]) ).
cnf(s50,plain,
spl0_14,
inference(rat,[],[s20,s47]) ).
cnf(s51,plain,
~ spl0_25,
inference(rat,[],[s31,s14,s48]) ).
cnf(s56,plain,
$false,
inference(rat,[],[s36,s48,s47,s49,s44,s12,s14,s51,s50]) ).
fof(f618,plain,
$false,
inference(avatar_sat_refutation,[],[s56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC066-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n007.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 07:39:55 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 6.63/1.93 % (2226887)Input is clausal, will run a generic CNF schedule.
% 6.63/1.93 % (2226896)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2600542558:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.63/1.93 % (2226892)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=594414758:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.63/1.93 % (2226896)Instruction limit reached!
% 6.63/1.93 % (2226896)------------------------------
% 6.63/1.93 % (2226896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.93 % (2226896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.93 % (2226896)CaDiCaL version: 2.1.3
% 6.63/1.93 % (2226896)Termination reason: Instruction limit
% 6.63/1.93 % (2226896)Termination phase: Saturation
% 6.63/1.93 % (2226896)Time elapsed: 0.037 s
% 6.63/1.93 % (2226896)Peak memory usage: 89 MB
% 6.63/1.93 % (2226896)Instructions burned: 117 (million)
% 6.63/1.93 % (2226895)lrs+10_1_sil=8000:sp=occurrence:random_seed=1514456052:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.63/1.93 % (2226893)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=496719588:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.63/1.93 % (2226894)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3023159741:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.63/1.93 % (2226897)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=221578532:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.63/1.93 % (2226898)dis-21_1_sil=8000:lcm=predicate:random_seed=2079122289:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 6.63/1.93 % (2226898)Instruction limit reached!
% 6.63/1.93 % (2226898)------------------------------
% 6.63/1.93 % (2226898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.93 % (2226898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.93 % (2226898)CaDiCaL version: 2.1.3
% 6.63/1.93 % (2226898)Termination reason: Instruction limit
% 6.63/1.93 % (2226898)Termination phase: Saturation
% 6.63/1.93 % (2226898)Time elapsed: 0.053 s
% 6.63/1.93 % (2226898)Peak memory usage: 89 MB
% 6.63/1.93 % (2226898)Instructions burned: 117 (million)
% 6.63/1.93 % (2226895)Instruction limit reached!
% 6.63/1.93 % (2226895)------------------------------
% 6.63/1.93 % (2226895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.93 % (2226895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.93 % (2226895)CaDiCaL version: 2.1.3
% 6.63/1.93 % (2226895)Termination reason: Instruction limit
% 6.63/1.93 % (2226895)Termination phase: Saturation
% 6.63/1.93 % (2226895)Time elapsed: 0.067 s
% 6.63/1.93 % (2226895)Peak memory usage: 89 MB
% 6.63/1.93 % (2226895)Instructions burned: 108 (million)
% 6.63/1.93 % (2226901)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=3668682804:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.63/1.93 % (2226901)Refutation not found, incomplete strategy
% 6.63/1.93 % (2226901)------------------------------
% 6.63/1.93 % (2226901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.93 % (2226901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.93 % (2226901)CaDiCaL version: 2.1.3
% 6.63/1.93 % (2226901)Termination reason: Refutation not found, incomplete strategy
% 6.63/1.93 % (2226901)Time elapsed: 0.003 s
% 6.63/1.93 % (2226901)Peak memory usage: 89 MB
% 6.63/1.93 % (2226901)Instructions burned: 5 (million)
% 6.63/1.93 % (2226897)Instruction limit reached!
% 6.63/1.93 % (2226897)------------------------------
% 6.63/1.93 % (2226897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.93 % (2226897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.93 % (2226897)CaDiCaL version: 2.1.3
% 6.63/1.93 % (2226897)Termination reason: Instruction limit
% 6.63/1.93 % (2226897)Termination phase: Saturation
% 6.63/1.93 % (2226897)Time elapsed: 0.190 s
% 6.63/1.93 % (2226897)Peak memory usage: 91 MB
% 6.63/1.93 % (2226897)Instructions burned: 278 (million)
% 6.63/1.93 % (2226907)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=480444686:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 6.63/1.94 % (2226908)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1045900375:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.63/1.94 % (2226901)------------------------------
% 6.63/1.94 % (2226901)------------------------------
% 6.63/1.94 % (2226908)Instruction limit reached!
% 6.63/1.94 % (2226908)------------------------------
% 6.63/1.94 % (2226908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.94 % (2226908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.94 % (2226908)CaDiCaL version: 2.1.3
% 6.63/1.94 % (2226908)Termination reason: Instruction limit
% 6.63/1.94 % (2226908)Termination phase: Saturation
% 6.63/1.94 % (2226908)Time elapsed: 0.088 s
% 6.63/1.94 % (2226908)Peak memory usage: 89 MB
% 6.63/1.94 % (2226908)Instructions burned: 220 (million)
% 6.63/1.94 % (2226907)Instruction limit reached!
% 6.63/1.94 % (2226907)------------------------------
% 6.63/1.94 % (2226907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.94 % (2226907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.94 % (2226907)CaDiCaL version: 2.1.3
% 6.63/1.94 % (2226907)Termination reason: Instruction limit
% 6.63/1.94 % (2226907)Termination phase: Saturation
% 6.63/1.94 % (2226907)Time elapsed: 0.102 s
% 6.63/1.94 % (2226907)Peak memory usage: 91 MB
% 6.63/1.94 % (2226907)Instructions burned: 190 (million)
% 6.63/1.94 % (2226910)lrs+10_64_to=lpo:sil=8000:random_seed=3491871035:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 6.63/1.94 % (2226913)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=710362443:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 6.63/1.94 % (2226910)Instruction limit reached!
% 6.63/1.94 % (2226910)------------------------------
% 6.63/1.94 % (2226910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.94 % (2226910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.94 % (2226910)CaDiCaL version: 2.1.3
% 6.63/1.94 % (2226910)Termination reason: Instruction limit
% 6.63/1.94 % (2226910)Termination phase: Saturation
% 6.63/1.94 % (2226910)Time elapsed: 0.067 s
% 6.63/1.94 % (2226910)Peak memory usage: 90 MB
% 6.63/1.94 % (2226910)Instructions burned: 128 (million)
% 6.63/1.94 % (2226913)Instruction limit reached!
% 6.63/1.94 % (2226913)------------------------------
% 6.63/1.94 % (2226913)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.94 % (2226913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.94 % (2226913)CaDiCaL version: 2.1.3
% 6.63/1.94 % (2226913)Termination reason: Instruction limit
% 6.63/1.94 % (2226913)Termination phase: Saturation
% 6.63/1.94 % (2226913)Time elapsed: 0.067 s
% 6.63/1.94 % (2226913)Peak memory usage: 91 MB
% 6.63/1.94 % (2226913)Instructions burned: 195 (million)
% 6.63/1.94 % (2226915)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=949129544:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 6.63/1.94 % (2226914)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3905060169:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.63/1.94 % (2226919)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2802515926:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 6.63/1.94 % (2226919)Instruction limit reached!
% 6.63/1.94 % (2226919)------------------------------
% 6.63/1.94 % (2226919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.94 % (2226919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.94 % (2226919)CaDiCaL version: 2.1.3
% 6.63/1.94 % (2226919)Termination reason: Instruction limit
% 6.63/1.94 % (2226919)Termination phase: Saturation
% 6.63/1.94 % (2226919)Time elapsed: 0.036 s
% 6.63/1.94 % (2226919)Peak memory usage: 90 MB
% 6.63/1.94 % (2226919)Instructions burned: 108 (million)
% 6.63/1.94 % (2226918)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1502216757:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 6.63/1.94 % (2226914)Instruction limit reached!
% 6.63/1.94 % (2226914)------------------------------
% 6.63/1.94 % (2226914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.94 % (2226914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.94 % (2226914)CaDiCaL version: 2.1.3
% 6.63/1.94 % (2226914)Termination reason: Instruction limit
% 6.63/1.94 % (2226914)Termination phase: Saturation
% 6.63/1.94 % (2226914)Time elapsed: 0.089 s
% 6.63/1.94 % (2226914)Peak memory usage: 91 MB
% 6.63/1.94 % (2226914)Instructions burned: 157 (million)
% 6.63/1.94 % (2226918)Instruction limit reached!
% 6.63/1.94 % (2226918)------------------------------
% 6.63/1.94 % (2226918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.94 % (2226918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.94 % (2226918)CaDiCaL version: 2.1.3
% 6.63/1.94 % (2226918)Termination reason: Instruction limit
% 6.63/1.94 % (2226918)Termination phase: Saturation
% 6.63/1.94 % (2226918)Time elapsed: 0.052 s
% 6.63/1.94 % (2226918)Peak memory usage: 90 MB
% 6.63/1.94 % (2226918)Instructions burned: 106 (million)
% 6.63/1.94 % (2226924)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=363146368:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 6.63/1.94 % (2226925)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=169137584:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 6.63/1.94 % (2226892)First to succeed.
% 6.63/1.94 % (2226892)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2226887"
% 6.63/1.94 % (2226926)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2750872132:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 6.63/1.94 % (2226926)Instruction limit reached!
% 6.63/1.94 % (2226926)------------------------------
% 6.63/1.94 % (2226926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.94 % (2226926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.94 % (2226926)CaDiCaL version: 2.1.3
% 6.63/1.94 % (2226926)Termination reason: Instruction limit
% 6.63/1.94 % (2226926)Termination phase: Saturation
% 6.63/1.94 % (2226926)Time elapsed: 0.088 s
% 6.63/1.94 % (2226926)Peak memory usage: 90 MB
% 6.63/1.94 % (2226926)Instructions burned: 134 (million)
% 6.63/1.94 % (2226924)Instruction limit reached!
% 6.63/1.94 % (2226924)------------------------------
% 6.63/1.94 % (2226924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.94 % (2226924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.94 % (2226924)CaDiCaL version: 2.1.3
% 6.63/1.94 % (2226924)Termination reason: Instruction limit
% 6.63/1.94 % (2226924)Termination phase: Saturation
% 6.63/1.94 % (2226924)Time elapsed: 0.147 s
% 6.63/1.94 % (2226924)Peak memory usage: 89 MB
% 6.63/1.94 % (2226924)Instructions burned: 243 (million)
% 6.63/1.94 % (2226930)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2424209767:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 6.63/1.94 % (2226931)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1367336375:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 6.63/1.94 % (2226892)Refutation found. Thanks to Tanya!
% 6.63/1.94 % SZS status Unsatisfiable for theBenchmark
% 6.63/1.94 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/2.13 % (2226892)------------------------------
% 0.16/2.13 % (2226892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.13 % (2226892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.13 % (2226892)CaDiCaL version: 2.1.3
% 0.16/2.13 % (2226892)Termination reason: Refutation
% 0.16/2.13 % (2226892)Time elapsed: 0.691 s
% 0.16/2.13 % (2226892)Peak memory usage: 131 MB
% 0.16/2.13 % (2226892)Instructions burned: 1032 (million)
% 0.16/2.13 % (2226892)------------------------------
% 0.16/2.13 % (2226892)------------------------------
% 0.16/2.13 % (2226887)Success in time 1.084 s
% 0.16/2.13 % Vampire exiting
%------------------------------------------------------------------------------