%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC389+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 01:05:50 PM UTC 2026
% Result : Theorem 0.18s 0.31s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 19
% Syntax : Number of formulae : 124 ( 15 unt; 12 def)
% Number of atoms : 385 ( 55 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 453 ( 192 ~; 190 |; 33 &)
% ( 20 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 13 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 68 ( 0 sgn 51 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( ssList(X0)
=> ( singletonP(X0)
<=> ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax4) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax7) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax18) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax58) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| ( ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ~ ssList(X6)
| cons(X4,nil) != X2
| app(app(X5,X2),X6) != X3
| ? [X7] :
( ssItem(X7)
& memberP(X5,X7)
& lt(X4,X7) )
| ? [X8] :
( ssItem(X8)
& memberP(X6,X8)
& lt(X8,X4) ) ) ) )
& ( nil != X3
| nil != X2 ) )
| ( segmentP(X1,X0)
& ( ~ neq(X1,nil)
| singletonP(X0) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| ( ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ~ ssList(X6)
| cons(X4,nil) != X2
| app(app(X5,X2),X6) != X3
| ? [X7] :
( ssItem(X7)
& memberP(X5,X7)
& lt(X4,X7) )
| ? [X8] :
( ssItem(X8)
& memberP(X6,X8)
& lt(X8,X4) ) ) ) )
& ( nil != X3
| nil != X2 ) )
| ( segmentP(X1,X0)
& ( ~ neq(X1,nil)
| singletonP(X0) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f100,plain,
! [X0] :
( ( singletonP(X0)
<=> ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f176,plain,
! [X0] :
( ( segmentP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& X1 = X3
& X0 = X2
& ( ? [X4] :
( ? [X5] :
( ? [X6] :
( ssList(X6)
& cons(X4,nil) = X2
& app(app(X5,X2),X6) = X3
& ! [X7] :
( ~ ssItem(X7)
| ~ memberP(X5,X7)
| ~ lt(X4,X7) )
& ! [X8] :
( ~ ssItem(X8)
| ~ memberP(X6,X8)
| ~ lt(X8,X4) ) )
& ssList(X5) )
& ssItem(X4) )
| ( nil = X3
& nil = X2 ) )
& ( ~ segmentP(X1,X0)
| ( neq(X1,nil)
& ~ singletonP(X0) ) ) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f233,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(X1,nil) != X0
| ~ ssItem(X1)
| singletonP(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f240,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X2,X1),X3) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| segmentP(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f303,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1
| ~ neq(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f305,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f306,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f359,plain,
! [X0] :
( ~ ssList(X0)
| nil != X0
| segmentP(nil,X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f415,plain,
( nil = sK50
| sK49 = cons(sK51,nil) ),
inference(cnf_transformation,[],[f221]) ).
fof(f417,plain,
( nil = sK49
| sK50 = app(app(sK52,sK49),sK53) ),
inference(cnf_transformation,[],[f221]) ).
fof(f418,plain,
( nil = sK49
| sK49 = cons(sK51,nil) ),
inference(cnf_transformation,[],[f221]) ).
fof(f419,plain,
( nil = sK49
| ssList(sK53) ),
inference(cnf_transformation,[],[f221]) ).
fof(f420,plain,
( nil = sK49
| ssList(sK52) ),
inference(cnf_transformation,[],[f221]) ).
fof(f422,plain,
( nil = sK50
| ssItem(sK51) ),
inference(cnf_transformation,[],[f221]) ).
fof(f423,plain,
( nil = sK49
| ssItem(sK51) ),
inference(cnf_transformation,[],[f221]) ).
fof(f424,plain,
( ~ singletonP(sK47)
| ~ segmentP(sK48,sK47) ),
inference(cnf_transformation,[],[f221]) ).
fof(f425,plain,
( neq(sK48,nil)
| ~ segmentP(sK48,sK47) ),
inference(cnf_transformation,[],[f221]) ).
fof(f426,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f221]) ).
fof(f427,plain,
sK48 = sK50,
inference(cnf_transformation,[],[f221]) ).
fof(f428,plain,
ssList(sK50),
inference(cnf_transformation,[],[f221]) ).
fof(f429,plain,
ssList(sK49),
inference(cnf_transformation,[],[f221]) ).
fof(f434,plain,
( neq(sK50,nil)
| ~ segmentP(sK50,sK49) ),
inference(definition_unfolding,[],[f425,f427,f427,f426]) ).
fof(f435,plain,
( ~ singletonP(sK49)
| ~ segmentP(sK50,sK49) ),
inference(definition_unfolding,[],[f424,f426,f427,f426]) ).
fof(f438,plain,
! [X1] :
( ~ ssList(cons(X1,nil))
| ~ ssItem(X1)
| singletonP(cons(X1,nil)) ),
inference(equality_resolution,[],[f233]) ).
fof(f441,plain,
! [X2,X3,X1] :
( ~ ssList(app(app(X2,X1),X3))
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| segmentP(app(app(X2,X1),X3),X1) ),
inference(equality_resolution,[],[f240]) ).
fof(f450,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f303]) ).
fof(f455,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(equality_resolution,[],[f359]) ).
fof(f463,plain,
! [X1] :
( ~ singletonP(cons(X1,nil))
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil)) ),
inference(consistent_polarity_flipping,[],[f438]) ).
fof(f491,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| neq(X1,X1) ),
inference(consistent_polarity_flipping,[],[f450]) ).
fof(f525,plain,
( ~ neq(sK50,nil)
| ~ segmentP(sK50,sK49) ),
inference(consistent_polarity_flipping,[],[f434]) ).
fof(f526,plain,
( singletonP(sK49)
| ~ segmentP(sK50,sK49) ),
inference(consistent_polarity_flipping,[],[f435]) ).
fof(f531,plain,
! [X1] :
( neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f491]) ).
fof(f538,definition,
( spl54_2
<=> nil = sK49 ),
introduced(definition,[new_symbols(definition,[spl54_2])],[avatar_definition]) ).
fof(f540,plain,
( nil = sK49
| ~ spl54_2 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f543,definition,
( spl54_3
<=> nil = sK50 ),
introduced(definition,[new_symbols(definition,[spl54_3])],[avatar_definition]) ).
fof(f545,plain,
( nil = sK50
| ~ spl54_3 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f553,definition,
( spl54_5
<=> sK50 = app(app(sK52,sK49),sK53) ),
introduced(definition,[new_symbols(definition,[spl54_5])],[avatar_definition]) ).
fof(f555,plain,
( sK50 = app(app(sK52,sK49),sK53)
| ~ spl54_5 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f558,definition,
( spl54_6
<=> sK49 = cons(sK51,nil) ),
introduced(definition,[new_symbols(definition,[spl54_6])],[avatar_definition]) ).
fof(f560,plain,
( sK49 = cons(sK51,nil)
| ~ spl54_6 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f561,plain,
( spl54_6
| spl54_3 ),
inference(avatar_split_clause,[],[f415,f543,f558]) ).
fof(f563,definition,
( spl54_7
<=> ssList(sK53) ),
introduced(definition,[new_symbols(definition,[spl54_7])],[avatar_definition]) ).
fof(f565,plain,
( ssList(sK53)
| ~ spl54_7 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f567,plain,
( spl54_5
| spl54_2 ),
inference(avatar_split_clause,[],[f417,f538,f553]) ).
fof(f568,plain,
( spl54_6
| spl54_2 ),
inference(avatar_split_clause,[],[f418,f538,f558]) ).
fof(f569,plain,
( spl54_7
| spl54_2 ),
inference(avatar_split_clause,[],[f419,f538,f563]) ).
fof(f571,definition,
( spl54_8
<=> ssList(sK52) ),
introduced(definition,[new_symbols(definition,[spl54_8])],[avatar_definition]) ).
fof(f573,plain,
( ssList(sK52)
| ~ spl54_8 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f574,plain,
( spl54_8
| spl54_2 ),
inference(avatar_split_clause,[],[f420,f538,f571]) ).
fof(f577,definition,
( spl54_9
<=> ssItem(sK51) ),
introduced(definition,[new_symbols(definition,[spl54_9])],[avatar_definition]) ).
fof(f579,plain,
( ssItem(sK51)
| ~ spl54_9 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f580,plain,
( spl54_9
| spl54_3 ),
inference(avatar_split_clause,[],[f422,f543,f577]) ).
fof(f581,plain,
( spl54_9
| spl54_2 ),
inference(avatar_split_clause,[],[f423,f538,f577]) ).
fof(f583,definition,
( spl54_10
<=> segmentP(sK50,sK49) ),
introduced(definition,[new_symbols(definition,[spl54_10])],[avatar_definition]) ).
fof(f585,plain,
( ~ segmentP(sK50,sK49)
| spl54_10 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f587,definition,
( spl54_11
<=> singletonP(sK49) ),
introduced(definition,[new_symbols(definition,[spl54_11])],[avatar_definition]) ).
fof(f590,plain,
( ~ spl54_10
| spl54_11 ),
inference(avatar_split_clause,[],[f526,f587,f583]) ).
fof(f592,definition,
( spl54_12
<=> neq(sK50,nil) ),
introduced(definition,[new_symbols(definition,[spl54_12])],[avatar_definition]) ).
fof(f594,plain,
( ~ neq(sK50,nil)
| spl54_12 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f595,plain,
( ~ spl54_10
| ~ spl54_12 ),
inference(avatar_split_clause,[],[f525,f592,f583]) ).
fof(f601,definition,
( spl54_14
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl54_14])],[avatar_definition]) ).
fof(f602,plain,
( ssList(nil)
| ~ spl54_14 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f616,definition,
( spl54_17
<=> segmentP(nil,nil) ),
introduced(definition,[new_symbols(definition,[spl54_17])],[avatar_definition]) ).
fof(f619,plain,
( spl54_17
| ~ spl54_14 ),
inference(avatar_split_clause,[],[f455,f601,f616]) ).
fof(f630,plain,
spl54_14,
inference(avatar_split_clause,[],[f305,f601]) ).
fof(f635,plain,
( ~ segmentP(sK50,nil)
| ~ spl54_2
| spl54_10 ),
inference(forward_demodulation,[],[f585,f540]) ).
fof(f636,plain,
( ~ segmentP(nil,nil)
| ~ spl54_2
| ~ spl54_3
| spl54_10 ),
inference(forward_demodulation,[],[f635,f545]) ).
fof(f637,plain,
( ~ spl54_17
| ~ spl54_2
| ~ spl54_3
| spl54_10 ),
inference(avatar_split_clause,[],[f636,f583,f543,f538,f616]) ).
fof(f640,plain,
( ~ neq(nil,nil)
| ~ spl54_3
| spl54_12 ),
inference(forward_demodulation,[],[f594,f545]) ).
fof(f643,plain,
( ~ ssList(nil)
| ~ spl54_3
| spl54_12 ),
inference(resolution,[],[f531,f640]) ).
fof(f644,plain,
( $false
| ~ spl54_3
| spl54_12
| ~ spl54_14 ),
inference(forward_subsumption_resolution,[],[f643,f602]) ).
fof(f645,plain,
( ~ spl54_3
| spl54_12
| ~ spl54_14 ),
inference(avatar_contradiction_clause,[],[f644]) ).
fof(f647,plain,
( nil = cons(sK51,nil)
| ~ spl54_2
| ~ spl54_6 ),
inference(forward_demodulation,[],[f560,f540]) ).
fof(f732,plain,
( nil != nil
| ~ ssItem(sK51)
| ~ ssList(nil)
| ~ spl54_2
| ~ spl54_6 ),
inference(superposition,[],[f306,f647]) ).
fof(f733,plain,
( ~ ssItem(sK51)
| ~ ssList(nil)
| ~ spl54_2
| ~ spl54_6 ),
inference(trivial_inequality_removal,[],[f732]) ).
fof(f734,plain,
( ~ ssList(nil)
| ~ spl54_2
| ~ spl54_6
| ~ spl54_9 ),
inference(forward_subsumption_resolution,[],[f733,f579]) ).
fof(f735,plain,
( $false
| ~ spl54_2
| ~ spl54_6
| ~ spl54_9
| ~ spl54_14 ),
inference(forward_subsumption_resolution,[],[f734,f602]) ).
fof(f736,plain,
( ~ spl54_2
| ~ spl54_6
| ~ spl54_9
| ~ spl54_14 ),
inference(avatar_contradiction_clause,[],[f735]) ).
fof(f886,plain,
( ~ singletonP(sK49)
| ~ ssItem(sK51)
| ~ ssList(sK49)
| ~ spl54_6 ),
inference(superposition,[],[f463,f560]) ).
fof(f891,plain,
( ~ singletonP(sK49)
| ~ ssList(sK49)
| ~ spl54_6
| ~ spl54_9 ),
inference(forward_subsumption_resolution,[],[f886,f579]) ).
fof(f892,plain,
( ~ singletonP(sK49)
| ~ spl54_6
| ~ spl54_9 ),
inference(forward_subsumption_resolution,[],[f891,f429]) ).
fof(f893,plain,
( ~ spl54_11
| ~ spl54_6
| ~ spl54_9 ),
inference(avatar_split_clause,[],[f892,f577,f558,f587]) ).
fof(f2168,plain,
( ~ ssList(sK50)
| ~ ssList(sK49)
| ~ ssList(sK53)
| ~ ssList(sK52)
| segmentP(sK50,sK49)
| ~ spl54_5 ),
inference(superposition,[],[f441,f555]) ).
fof(f2171,plain,
( ~ ssList(sK49)
| ~ ssList(sK53)
| ~ ssList(sK52)
| segmentP(sK50,sK49)
| ~ spl54_5 ),
inference(forward_subsumption_resolution,[],[f2168,f428]) ).
fof(f2178,plain,
( ~ ssList(sK53)
| ~ ssList(sK52)
| segmentP(sK50,sK49)
| ~ spl54_5 ),
inference(forward_subsumption_resolution,[],[f2171,f429]) ).
fof(f2184,plain,
( ~ ssList(sK52)
| segmentP(sK50,sK49)
| ~ spl54_5
| ~ spl54_7 ),
inference(forward_subsumption_resolution,[],[f2178,f565]) ).
fof(f2187,plain,
( segmentP(sK50,sK49)
| ~ spl54_5
| ~ spl54_7
| ~ spl54_8 ),
inference(forward_subsumption_resolution,[],[f2184,f573]) ).
fof(f2189,plain,
( $false
| ~ spl54_5
| ~ spl54_7
| ~ spl54_8
| spl54_10 ),
inference(forward_subsumption_resolution,[],[f2187,f585]) ).
fof(f2190,plain,
( ~ spl54_5
| ~ spl54_7
| ~ spl54_8
| spl54_10 ),
inference(avatar_contradiction_clause,[],[f2189]) ).
cnf(s6,plain,
( spl54_3
| spl54_6 ),
inference(sat_conversion,[],[f561]) ).
cnf(s8,plain,
( spl54_2
| spl54_5 ),
inference(sat_conversion,[],[f567]) ).
cnf(s9,plain,
( spl54_2
| spl54_6 ),
inference(sat_conversion,[],[f568]) ).
cnf(s10,plain,
( spl54_2
| spl54_7 ),
inference(sat_conversion,[],[f569]) ).
cnf(s11,plain,
( spl54_2
| spl54_8 ),
inference(sat_conversion,[],[f574]) ).
cnf(s13,plain,
( spl54_3
| spl54_9 ),
inference(sat_conversion,[],[f580]) ).
cnf(s14,plain,
( spl54_2
| spl54_9 ),
inference(sat_conversion,[],[f581]) ).
cnf(s15,plain,
( ~ spl54_10
| spl54_11 ),
inference(sat_conversion,[],[f590]) ).
cnf(s16,plain,
( ~ spl54_10
| ~ spl54_12 ),
inference(sat_conversion,[],[f595]) ).
cnf(s22,plain,
( ~ spl54_14
| spl54_17 ),
inference(sat_conversion,[],[f619]) ).
cnf(s25,plain,
spl54_14,
inference(sat_conversion,[],[f630]) ).
cnf(s28,plain,
( ~ spl54_2
| ~ spl54_3
| spl54_10
| ~ spl54_17 ),
inference(sat_conversion,[],[f637]) ).
cnf(s30,plain,
( ~ spl54_3
| spl54_12
| ~ spl54_14 ),
inference(sat_conversion,[],[f645]) ).
cnf(s31,plain,
( ~ spl54_2
| ~ spl54_6
| ~ spl54_9
| ~ spl54_14 ),
inference(sat_conversion,[],[f736]) ).
cnf(s36,plain,
( ~ spl54_6
| ~ spl54_9
| ~ spl54_11 ),
inference(sat_conversion,[],[f893]) ).
cnf(s95,plain,
( ~ spl54_5
| ~ spl54_7
| ~ spl54_8
| spl54_10 ),
inference(sat_conversion,[],[f2190]) ).
cnf(s98,plain,
spl54_17,
inference(rat,[],[s22,s25]) ).
cnf(s101,plain,
spl54_2,
inference(rat,[],[s15,s95,s36,s8,s9,s10,s11,s14]) ).
cnf(s102,plain,
~ spl54_3,
inference(rat,[],[s16,s28,s30,s101,s98,s25]) ).
cnf(s104,plain,
spl54_9,
inference(rat,[],[s13,s102]) ).
cnf(s107,plain,
spl54_6,
inference(rat,[],[s6,s102]) ).
cnf(s110,plain,
$false,
inference(rat,[],[s31,s25,s101,s104,s107]) ).
fof(f2191,plain,
$false,
inference(avatar_sat_refutation,[],[s110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC389+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n005.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 09:25:32 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.31 % (664072)Will run a generic schedule for satisfiability detection.
% 0.18/0.31 % (664080)dis+10_1_sil=32000:sp=arity:random_seed=1935709744:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.31 % (664078)% WARNING: option uhcvi not known.
% 0.18/0.31 % (664077)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2293534201_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.31 % (664078)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1795080347:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.31 % (664079)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3632254770:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.31 % (664081)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3812163304:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.31 % (664082)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3509091151:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.31 % (664083)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2181868658:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.31 % TRYING [1]
% 0.18/0.31 % TRYING [2]
% 0.18/0.31 % TRYING [3]
% 0.18/0.31 % (664080)Instruction limit reached!
% 0.18/0.31 % (664080)------------------------------
% 0.18/0.31 % (664080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.31 % (664080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.31 % (664080)CaDiCaL version: 2.1.3
% 0.18/0.31 % (664080)Termination reason: Instruction limit
% 0.18/0.31 % (664080)Termination phase: Saturation
% 0.18/0.31 % (664080)Time elapsed: 0.034 s
% 0.18/0.31 % (664080)Peak memory usage: 13 MB
% 0.18/0.31 % (664080)Instructions burned: 106 (million)
% 0.18/0.31 % (664091)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2600553453:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.18/0.31 % TRYING [4]
% 0.18/0.31 % (664078) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-664072-664078"...
% 0.18/0.31 % (664078)...printing done.
% 0.18/0.31 % TRYING [1]
% 0.18/0.31 % TRYING [2]
% 0.18/0.31 % (664078)Refutation found. Thanks to Tanya!
% 0.18/0.31 % SZS status Theorem for theBenchmark
% 0.18/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.31 % (664078)------------------------------
% 0.18/0.31 % (664078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.31 % (664078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.31 % (664078)CaDiCaL version: 2.1.3
% 0.18/0.31 % (664078)Termination reason: Refutation
% 0.18/0.31 % (664078)Time elapsed: 0.044 s
% 0.18/0.31 % (664078)Peak memory usage: 14 MB
% 0.18/0.31 % (664078)Instructions burned: 67 (million)
% 0.18/0.31 % (664072)Success in time 0.084 s
% 0.18/0.31 % Vampire exiting
%------------------------------------------------------------------------------