%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC125-1 : 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 : n001.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 01:02:34 PM UTC 2026
% Result : Unsatisfiable 8.26s 2.08s
% Output : Refutation 8.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 32
% Syntax : Number of formulae : 124 ( 24 unt; 10 def)
% Number of atoms : 374 ( 42 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 465 ( 215 ~; 240 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 11 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
fof(f56,axiom,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
fof(f66,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
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(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f107,axiom,
! [X0] :
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f119,axiom,
! [X0,X1] :
( cons(X0,nil) != X1
| ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) = cons(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f126,plain,
! [X0,X1] :
( ~ 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,
neq(sk2,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
segmentP(sk4,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f209,negated_conjecture,
! [X0] :
( ~ neq(sk3,X0)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(X0,sk3)
| ~ strictorderedP(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( ~ neq(sk1,nil)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f213,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f214,plain,
( ~ neq(sk3,nil)
| ~ segmentP(sk4,sk3) ),
inference(definition_unfolding,[],[f210,f205,f204,f205]) ).
fof(f222,plain,
! [X0] :
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| singletonP(cons(X0,nil)) ),
inference(equality_resolution,[],[f119]) ).
fof(f229,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X2) ),
inference(equality_resolution,[],[f187]) ).
fof(f246,definition,
( spl0_1
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f250,definition,
( spl0_2
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f252,plain,
( ~ neq(sk3,nil)
| spl0_2 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f253,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f214,f250,f246]) ).
fof(f254,plain,
spl0_1,
inference(avatar_split_clause,[],[f207,f246]) ).
fof(f260,definition,
( spl0_4
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f261,plain,
( ssList(nil)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f269,definition,
( spl0_6
<=> ! [X1] :
( ~ ssItem(X1)
| strictorderedP(cons(X1,nil)) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f270,plain,
( ! [X1] :
( strictorderedP(cons(X1,nil))
| ~ ssItem(X1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f295,plain,
spl0_6,
inference(avatar_split_clause,[],[f66,f269]) ).
fof(f296,plain,
spl0_4,
inference(avatar_split_clause,[],[f8,f260]) ).
fof(f297,plain,
( ~ ssList(sk3)
| ~ ssList(nil)
| nil = sk3
| spl0_2 ),
inference(resolution,[],[f102,f252]) ).
fof(f298,plain,
( ~ ssList(nil)
| nil = sk3
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f297,f202]) ).
fof(f299,plain,
( nil = sk3
| spl0_2
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f298,f261]) ).
fof(f301,plain,
( ~ neq(nil,nil)
| spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f252,f299]) ).
fof(f302,plain,
! [X0] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(X0,sk3)
| ~ strictorderedP(X0)
| ~ ssList(sk3)
| ~ ssList(X0)
| sk3 = X0 ),
inference(resolution,[],[f209,f102]) ).
fof(f304,plain,
! [X0] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(X0,sk3)
| ~ strictorderedP(X0)
| ~ ssList(sk3)
| sk3 = X0 ),
inference(duplicate_literal_removal,[],[f302]) ).
fof(f306,plain,
! [X0] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(X0,sk3)
| ~ strictorderedP(X0)
| sk3 = X0 ),
inference(forward_subsumption_resolution,[],[f304,f202]) ).
fof(f307,plain,
( ! [X0] :
( ~ segmentP(X0,nil)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ strictorderedP(X0)
| sk3 = X0 )
| spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f306,f299]) ).
fof(f308,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ strictorderedP(X0)
| sk3 = X0 )
| spl0_2
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f307,f56]) ).
fof(f309,plain,
( ! [X0] :
( ~ segmentP(sk4,X0)
| ~ ssList(X0)
| nil = X0
| ~ strictorderedP(X0) )
| spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f308,f299]) ).
fof(f320,definition,
( spl0_13
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f321,plain,
( nil != sk4
| spl0_13 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f322,plain,
( nil = sk4
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f383,plain,
( sk4 = cons(hd(sk4),tl(sk4))
| nil = sk4 ),
inference(resolution,[],[f107,f203]) ).
fof(f385,definition,
( spl0_14
<=> sk4 = cons(hd(sk4),tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f387,plain,
( sk4 = cons(hd(sk4),tl(sk4))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f388,plain,
( spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f383,f385,f320]) ).
fof(f391,plain,
( neq(nil,nil)
| ~ spl0_13 ),
inference(superposition,[],[f213,f322]) ).
fof(f403,plain,
( $false
| spl0_2
| ~ spl0_4
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f391,f301]) ).
fof(f404,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f403]) ).
fof(f410,definition,
( spl0_15
<=> ssList(tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f411,plain,
( ssList(tl(sk4))
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f412,plain,
( ~ ssList(tl(sk4))
| spl0_15 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f414,definition,
( spl0_16
<=> ssItem(hd(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f415,plain,
( ssItem(hd(sk4))
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f416,plain,
( ~ ssItem(hd(sk4))
| spl0_16 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f430,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_15 ),
inference(resolution,[],[f77,f412]) ).
fof(f435,plain,
( nil = sk4
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f430,f203]) ).
fof(f436,plain,
( $false
| spl0_13
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f435,f321]) ).
fof(f437,plain,
( spl0_13
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f436]) ).
fof(f451,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_16 ),
inference(resolution,[],[f416,f78]) ).
fof(f452,plain,
( nil = sk4
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f451,f203]) ).
fof(f453,plain,
( $false
| spl0_13
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f452,f321]) ).
fof(f454,plain,
( spl0_13
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f453]) ).
fof(f456,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(hd(sk4),X0) = app(cons(hd(sk4),nil),X0) )
| ~ spl0_16 ),
inference(resolution,[],[f415,f126]) ).
fof(f462,plain,
( cons(hd(sk4),tl(sk4)) = app(cons(hd(sk4),nil),tl(sk4))
| ~ spl0_15
| ~ spl0_16 ),
inference(resolution,[],[f456,f411]) ).
fof(f584,plain,
( sk4 = app(cons(hd(sk4),nil),tl(sk4))
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f462,f387]) ).
fof(f586,definition,
( spl0_26
<=> ssList(cons(hd(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f587,plain,
( ssList(cons(hd(sk4),nil))
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f588,plain,
( ~ ssList(cons(hd(sk4),nil))
| spl0_26 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f597,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk4))
| spl0_26 ),
inference(resolution,[],[f588,f86]) ).
fof(f598,plain,
( ~ ssItem(hd(sk4))
| ~ spl0_4
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f597,f261]) ).
fof(f599,plain,
( $false
| ~ spl0_4
| ~ spl0_16
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f598,f415]) ).
fof(f600,plain,
( ~ spl0_4
| ~ spl0_16
| spl0_26 ),
inference(avatar_contradiction_clause,[],[f599]) ).
fof(f606,plain,
( cons(hd(sk4),nil) = app(nil,cons(hd(sk4),nil))
| ~ spl0_26 ),
inference(resolution,[],[f587,f74]) ).
fof(f608,definition,
( spl0_29
<=> nil = cons(hd(sk4),nil) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f609,plain,
( nil != cons(hd(sk4),nil)
| spl0_29 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f610,plain,
( nil = cons(hd(sk4),nil)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f626,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk4))
| singletonP(nil)
| ~ spl0_29 ),
inference(superposition,[],[f222,f610]) ).
fof(f639,plain,
( ~ ssItem(hd(sk4))
| singletonP(nil)
| ~ spl0_4
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f626,f261]) ).
fof(f647,plain,
( singletonP(nil)
| ~ spl0_4
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f639,f415]) ).
fof(f650,plain,
( $false
| ~ spl0_4
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f647,f11]) ).
fof(f651,plain,
( ~ spl0_4
| ~ spl0_16
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f650]) ).
fof(f658,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_26 ),
inference(superposition,[],[f229,f606]) ).
fof(f661,plain,
( ! [X0] :
( segmentP(app(cons(hd(sk4),nil),X0),cons(hd(sk4),nil))
| ~ ssList(nil)
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(X0) )
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f658,f85]) ).
fof(f664,plain,
( ! [X0] :
( segmentP(app(cons(hd(sk4),nil),X0),cons(hd(sk4),nil))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(X0) )
| ~ spl0_4
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f661,f261]) ).
fof(f667,plain,
( ! [X0] :
( segmentP(app(cons(hd(sk4),nil),X0),cons(hd(sk4),nil))
| ~ ssList(X0) )
| ~ spl0_4
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f664,f587]) ).
fof(f670,plain,
( segmentP(sk4,cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| ~ spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_26 ),
inference(superposition,[],[f667,f584]) ).
fof(f671,plain,
( segmentP(sk4,cons(hd(sk4),nil))
| ~ spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f670,f411]) ).
fof(f675,plain,
( ~ ssList(cons(hd(sk4),nil))
| nil = cons(hd(sk4),nil)
| ~ strictorderedP(cons(hd(sk4),nil))
| spl0_2
| ~ spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_26 ),
inference(resolution,[],[f671,f309]) ).
fof(f678,plain,
( nil = cons(hd(sk4),nil)
| ~ strictorderedP(cons(hd(sk4),nil))
| spl0_2
| ~ spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f675,f587]) ).
fof(f680,plain,
( ~ strictorderedP(cons(hd(sk4),nil))
| spl0_2
| ~ spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_26
| spl0_29 ),
inference(forward_subsumption_resolution,[],[f678,f609]) ).
fof(f681,plain,
( ~ ssItem(hd(sk4))
| spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_26
| spl0_29 ),
inference(resolution,[],[f680,f270]) ).
fof(f682,plain,
( $false
| spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_26
| spl0_29 ),
inference(forward_subsumption_resolution,[],[f681,f415]) ).
fof(f683,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_26
| spl0_29 ),
inference(avatar_contradiction_clause,[],[f682]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f253]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f254]) ).
cnf(s11,plain,
spl0_6,
inference(sat_conversion,[],[f295]) ).
cnf(s12,plain,
spl0_4,
inference(sat_conversion,[],[f296]) ).
cnf(s14,plain,
( spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f388]) ).
cnf(s16,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_13 ),
inference(sat_conversion,[],[f404]) ).
cnf(s20,plain,
( spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f437]) ).
cnf(s22,plain,
( spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f454]) ).
cnf(s29,plain,
( ~ spl0_4
| ~ spl0_16
| spl0_26 ),
inference(sat_conversion,[],[f600]) ).
cnf(s34,plain,
( ~ spl0_4
| ~ spl0_16
| ~ spl0_29 ),
inference(sat_conversion,[],[f651]) ).
cnf(s35,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_26
| spl0_29 ),
inference(sat_conversion,[],[f683]) ).
cnf(s41,plain,
~ spl0_2,
inference(rat,[],[s1,s2]) ).
cnf(s43,plain,
~ spl0_13,
inference(rat,[],[s16,s12,s41]) ).
cnf(s45,plain,
spl0_16,
inference(rat,[],[s22,s43]) ).
cnf(s46,plain,
spl0_15,
inference(rat,[],[s20,s43]) ).
cnf(s47,plain,
spl0_14,
inference(rat,[],[s14,s43]) ).
cnf(s48,plain,
~ spl0_29,
inference(rat,[],[s34,s12,s45]) ).
cnf(s49,plain,
spl0_26,
inference(rat,[],[s29,s12,s45]) ).
cnf(s50,plain,
$false,
inference(rat,[],[s35,s48,s49,s45,s41,s11,s12,s46,s47]) ).
fof(f684,plain,
$false,
inference(avatar_sat_refutation,[],[s50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC125-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n001.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Mon Sep 28 08:08:32 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 8.26/2.08 % (201918)Input is clausal, will run a generic CNF schedule.
% 8.26/2.08 % (201973)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=559692923:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.26/2.08 % (201978)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=625511990:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.26/2.08 % (201977)lrs+10_1_sil=8000:sp=occurrence:random_seed=1760584556:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.26/2.08 % (201974)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1617485061:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.26/2.08 % (201979)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3654677240:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.26/2.08 % (201980)dis-21_1_sil=8000:lcm=predicate:random_seed=1061088538: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)
% 8.26/2.08 % (201976)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1366287608:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.26/2.08 % (201978)Instruction limit reached!
% 8.26/2.08 % (201978)------------------------------
% 8.26/2.08 % (201978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/2.08 % (201978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.08 % (201978)CaDiCaL version: 2.1.3
% 8.26/2.08 % (201978)Termination reason: Instruction limit
% 8.26/2.08 % (201978)Termination phase: Saturation
% 8.26/2.08 % (201978)Time elapsed: 0.076 s
% 8.26/2.08 % (201978)Peak memory usage: 89 MB
% 8.26/2.08 % (201978)Instructions burned: 116 (million)
% 8.26/2.08 % (201980)Instruction limit reached!
% 8.26/2.08 % (201980)------------------------------
% 8.26/2.08 % (201980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/2.08 % (201980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.08 % (201980)CaDiCaL version: 2.1.3
% 8.26/2.08 % (201980)Termination reason: Instruction limit
% 8.26/2.08 % (201980)Termination phase: Saturation
% 8.26/2.08 % (201980)Time elapsed: 0.097 s
% 8.26/2.08 % (201980)Peak memory usage: 89 MB
% 8.26/2.08 % (201980)Instructions burned: 117 (million)
% 8.26/2.08 % (201977)Instruction limit reached!
% 8.26/2.08 % (201977)------------------------------
% 8.26/2.08 % (201977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/2.08 % (201977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.08 % (201977)CaDiCaL version: 2.1.3
% 8.26/2.08 % (201977)Termination reason: Instruction limit
% 8.26/2.08 % (201977)Termination phase: Saturation
% 8.26/2.08 % (201977)Time elapsed: 0.099 s
% 8.26/2.08 % (201977)Peak memory usage: 89 MB
% 8.26/2.08 % (201977)Instructions burned: 107 (million)
% 8.26/2.08 % (201979)Instruction limit reached!
% 8.26/2.08 % (201979)------------------------------
% 8.26/2.08 % (201979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/2.08 % (201979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.08 % (201979)CaDiCaL version: 2.1.3
% 8.26/2.08 % (201979)Termination reason: Instruction limit
% 8.26/2.08 % (201979)Termination phase: Saturation
% 8.26/2.08 % (201979)Time elapsed: 0.199 s
% 8.26/2.08 % (201979)Peak memory usage: 90 MB
% 8.26/2.08 % (201979)Instructions burned: 181 (million)
% 8.26/2.08 % (201995)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=4018069913:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 8.26/2.08 % (201995)Refutation not found, incomplete strategy
% 8.26/2.08 % (201995)------------------------------
% 8.26/2.08 % (201995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/2.08 % (201995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.08 % (201995)CaDiCaL version: 2.1.3
% 8.26/2.08 % (201995)Termination reason: Refutation not found, incomplete strategy
% 8.26/2.08 % (201995)Time elapsed: 0.008 s
% 8.26/2.08 % (201995)Peak memory usage: 88 MB
% 8.26/2.08 % (201995)Instructions burned: 5 (million)
% 8.26/2.08 % (201996)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3215981531:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 8.26/2.08 % (201997)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1131772613:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 8.26/2.08 % (201998)lrs+10_64_to=lpo:sil=8000:random_seed=2749945822:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 8.26/2.08 % (201996)Instruction limit reached!
% 8.26/2.08 % (201996)------------------------------
% 8.26/2.08 % (201996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/2.08 % (201996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.08 % (201996)CaDiCaL version: 2.1.3
% 8.26/2.08 % (201996)Termination reason: Instruction limit
% 8.26/2.08 % (201996)Termination phase: Saturation
% 8.26/2.08 % (201996)Time elapsed: 0.172 s
% 8.26/2.08 % (201996)Peak memory usage: 91 MB
% 8.26/2.08 % (201996)Instructions burned: 189 (million)
% 8.26/2.08 % (201997)Instruction limit reached!
% 8.26/2.08 % (201997)------------------------------
% 8.26/2.08 % (201997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/2.08 % (201997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.08 % (201997)CaDiCaL version: 2.1.3
% 8.26/2.08 % (201997)Termination reason: Instruction limit
% 8.26/2.08 % (201997)Termination phase: Saturation
% 8.26/2.08 % (201997)Time elapsed: 0.147 s
% 8.26/2.08 % (201997)Peak memory usage: 88 MB
% 8.26/2.08 % (201997)Instructions burned: 220 (million)
% 8.26/2.08 % (201998)Instruction limit reached!
% 8.26/2.08 % (201998)------------------------------
% 8.26/2.08 % (201998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/2.08 % (201998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.08 % (201998)CaDiCaL version: 2.1.3
% 8.26/2.08 % (201998)Termination reason: Instruction limit
% 8.26/2.08 % (201998)Termination phase: Saturation
% 8.26/2.08 % (201998)Time elapsed: 0.123 s
% 8.26/2.08 % (201998)Peak memory usage: 90 MB
% 8.26/2.08 % (201998)Instructions burned: 126 (million)
% 8.26/2.08 % (201973)First to succeed.
% 8.26/2.08 % (201995)------------------------------
% 8.26/2.08 % (201995)------------------------------
% 8.26/2.08 % (201973)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-201918"
% 8.26/2.08 % (202010)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3269062243:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 8.26/2.08 % (202013)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2545423135:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 8.26/2.08 % (202012)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4083661735:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 8.26/2.08 % (201973)Refutation found. Thanks to Tanya!
% 8.26/2.08 % SZS status Unsatisfiable for theBenchmark
% 8.26/2.08 % SZS output start Proof for theBenchmark
% See solution above
% 8.84/2.34 % (201973)------------------------------
% 8.84/2.34 % (201973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.84/2.34 % (201973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.84/2.34 % (201973)CaDiCaL version: 2.1.3
% 8.84/2.34 % (201973)Termination reason: Refutation
% 8.84/2.34 % (201973)Time elapsed: 0.726 s
% 8.84/2.34 % (201973)Peak memory usage: 131 MB
% 8.84/2.34 % (201973)Instructions burned: 1038 (million)
% 8.84/2.34 % (201973)------------------------------
% 8.84/2.34 % (201973)------------------------------
% 8.84/2.34 % (201918)Success in time 1.156 s
% 8.84/2.34 % Vampire exiting
%------------------------------------------------------------------------------