%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC253-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 01:05:16 PM UTC 2026
% Result : Unsatisfiable 8.96s 2.50s
% Output : Refutation 8.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 49
% Syntax : Number of formulae : 234 ( 35 unt; 21 def)
% Number of atoms : 697 ( 104 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 878 ( 415 ~; 442 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 22 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 118 ( 0 sgn 118 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause12) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause13) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause72) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause75) ).
fof(f76,axiom,
! [X0] :
( ~ ssList(X0)
| ssItem(hd(X0))
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause76) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause96) ).
fof(f97,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause97) ).
fof(f100,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause99) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).
fof(f102,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f107,axiom,
! [X0] :
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause104) ).
fof(f112,axiom,
! [X0] :
( ~ ssList(X0)
| cons(skaf83(X0),skaf82(X0)) = X0
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause109) ).
fof(f118,axiom,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause115) ).
fof(f119,axiom,
! [X0,X1] :
( cons(X0,nil) != X1
| ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause116) ).
fof(f129,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause123) ).
fof(f144,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause133) ).
fof(f163,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != app(X2,X1)
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause151) ).
fof(f193,axiom,
! [X2,X3,X0,X1,X4] :
( app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ duplicatefreeP(X4)
| ~ ssList(X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause179) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f210,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| sk4 = X0
| ~ ssList(X1)
| tl(sk4) != X1
| app(sk3,X1) != X0
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( ~ singletonP(sk1)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f214,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f206,f204,f204]) ).
fof(f218,plain,
( ~ singletonP(sk3)
| ~ neq(sk4,nil) ),
inference(definition_unfolding,[],[f211,f205]) ).
fof(f225,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f118]) ).
fof(f226,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| singletonP(cons(X0,nil)) ),
inference(equality_resolution,[],[f119]) ).
fof(f236,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3))) ),
inference(equality_resolution,[],[f193]) ).
fof(f245,plain,
! [X0] :
( ~ ssList(X0)
| sk4 = X0
| ~ ssList(tl(sk4))
| app(sk3,tl(sk4)) != X0
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f210]) ).
fof(f246,plain,
( ~ ssList(app(sk3,tl(sk4)))
| sk4 = app(sk3,tl(sk4))
| ~ ssList(tl(sk4))
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f245]) ).
fof(f254,plain,
! [X0] : ~ ssItem(skaf83(X0)),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f286,plain,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ~ ssItem(X1) ),
inference(consistent_polarity_flipping,[],[f72]) ).
fof(f287,plain,
! [X0] :
( ~ ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(consistent_polarity_flipping,[],[f76]) ).
fof(f295,plain,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f86]) ).
fof(f305,plain,
! [X0,X1] :
( ~ ssList(X1)
| ssItem(X0)
| tl(cons(X0,X1)) = X1 ),
inference(consistent_polarity_flipping,[],[f96]) ).
fof(f306,plain,
! [X0,X1] :
( ~ ssList(X1)
| ssItem(X0)
| hd(cons(X0,X1)) = X0 ),
inference(consistent_polarity_flipping,[],[f97]) ).
fof(f308,plain,
! [X0,X1] :
( cons(X0,X1) != X1
| ssItem(X0)
| ~ ssList(X1) ),
inference(consistent_polarity_flipping,[],[f100]) ).
fof(f309,plain,
! [X0,X1] :
( ~ neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f102]) ).
fof(f322,plain,
! [X1] :
( neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(consistent_polarity_flipping,[],[f225]) ).
fof(f323,plain,
! [X0] :
( ~ singletonP(cons(X0,nil))
| ~ ssList(cons(X0,nil))
| ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f226]) ).
fof(f374,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X0)
| ssItem(X1)
| ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3))) ),
inference(consistent_polarity_flipping,[],[f236]) ).
fof(f381,plain,
( ~ neq(sk4,nil)
| ~ neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f214]) ).
fof(f385,plain,
( ~ ssList(app(sk3,tl(sk4)))
| sk4 = app(sk3,tl(sk4))
| ~ ssList(tl(sk4))
| neq(nil,sk4)
| neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f246]) ).
fof(f386,plain,
( singletonP(sk3)
| neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f218]) ).
fof(f387,plain,
~ neq(sk4,nil),
inference(duplicate_literal_removal,[],[f381]) ).
fof(f392,plain,
! [X1] :
( neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f322]) ).
fof(f395,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f396,plain,
( ~ neq(sk4,nil)
| spl0_1 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f399,definition,
( spl0_2
<=> singletonP(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f401,plain,
( singletonP(sk3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f402,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f386,f399,f395]) ).
fof(f404,definition,
( spl0_3
<=> neq(nil,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f406,plain,
( neq(nil,sk4)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f408,definition,
( spl0_4
<=> ssList(tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f409,plain,
( ssList(tl(sk4))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f410,plain,
( ~ ssList(tl(sk4))
| spl0_4 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f412,definition,
( spl0_5
<=> sk4 = app(sk3,tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f414,plain,
( sk4 = app(sk3,tl(sk4))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f416,definition,
( spl0_6
<=> ssList(app(sk3,tl(sk4))) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f418,plain,
( ~ ssList(app(sk3,tl(sk4)))
| spl0_6 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f419,plain,
( spl0_1
| spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f385,f416,f412,f408,f404,f395]) ).
fof(f422,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f387,f395]) ).
fof(f428,definition,
( spl0_8
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f429,plain,
( ssList(nil)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f456,definition,
( spl0_14
<=> ! [X1] : ~ ssItem(X1) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f457,plain,
( ! [X1] : ~ ssItem(X1)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f459,definition,
( spl0_15
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f460,plain,
( ! [X0] :
( duplicatefreeP(X0)
| ~ ssList(X0) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f461,plain,
( spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f286,f459,f456]) ).
fof(f464,plain,
spl0_8,
inference(avatar_split_clause,[],[f8,f428]) ).
fof(f537,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_4 ),
inference(resolution,[],[f75,f410]) ).
fof(f540,plain,
( nil = sk4
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f537,f203]) ).
fof(f546,plain,
( ~ neq(nil,nil)
| spl0_1
| spl0_4 ),
inference(superposition,[],[f396,f540]) ).
fof(f556,plain,
( ~ ssList(nil)
| spl0_1
| spl0_4 ),
inference(resolution,[],[f392,f546]) ).
fof(f557,plain,
( $false
| spl0_1
| spl0_4
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f556,f429]) ).
fof(f558,plain,
( spl0_1
| spl0_4
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f557]) ).
fof(f559,plain,
( tl(sk4) = app(nil,tl(sk4))
| ~ spl0_4 ),
inference(resolution,[],[f409,f74]) ).
fof(f561,plain,
( ~ ssList(sk3)
| ~ ssList(tl(sk4))
| spl0_6 ),
inference(resolution,[],[f418,f85]) ).
fof(f562,plain,
( ~ ssList(tl(sk4))
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f561,f202]) ).
fof(f563,plain,
( $false
| ~ spl0_4
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f562,f409]) ).
fof(f564,plain,
( ~ spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f563]) ).
fof(f669,plain,
( ~ ssList(nil)
| ~ ssList(sk4)
| nil = sk4
| ~ spl0_3 ),
inference(resolution,[],[f309,f406]) ).
fof(f672,plain,
( ~ ssList(sk4)
| nil = sk4
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f669,f429]) ).
fof(f673,plain,
( nil = sk4
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f672,f203]) ).
fof(f675,plain,
( ~ neq(nil,nil)
| spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f396,f673]) ).
fof(f692,plain,
( ~ ssList(nil)
| spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(resolution,[],[f675,f392]) ).
fof(f694,plain,
( $false
| spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f692,f429]) ).
fof(f695,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f694]) ).
fof(f762,plain,
( sk4 = cons(hd(sk4),tl(sk4))
| nil = sk4 ),
inference(resolution,[],[f107,f203]) ).
fof(f764,definition,
( spl0_16
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f765,plain,
( nil != sk4
| spl0_16 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f766,plain,
( nil = sk4
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f768,definition,
( spl0_17
<=> sk4 = cons(hd(sk4),tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f770,plain,
( sk4 = cons(hd(sk4),tl(sk4))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f771,plain,
( spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f762,f768,f764]) ).
fof(f773,definition,
( spl0_18
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f774,plain,
( nil != sk3
| spl0_18 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f775,plain,
( nil = sk3
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f795,plain,
( ~ neq(nil,nil)
| spl0_1
| ~ spl0_16 ),
inference(superposition,[],[f396,f766]) ).
fof(f839,plain,
( sk3 = cons(skaf83(sk3),skaf82(sk3))
| nil = sk3 ),
inference(resolution,[],[f112,f202]) ).
fof(f840,plain,
( sk4 = cons(skaf83(sk4),skaf82(sk4))
| nil = sk4 ),
inference(resolution,[],[f112,f203]) ).
fof(f842,definition,
( spl0_22
<=> sk3 = cons(skaf83(sk3),skaf82(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f844,plain,
( sk3 = cons(skaf83(sk3),skaf82(sk3))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f845,plain,
( spl0_18
| spl0_22 ),
inference(avatar_split_clause,[],[f839,f842,f773]) ).
fof(f862,definition,
( spl0_25
<=> sk4 = cons(skaf83(sk4),skaf82(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f864,plain,
( sk4 = cons(skaf83(sk4),skaf82(sk4))
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f865,plain,
( spl0_16
| spl0_25 ),
inference(avatar_split_clause,[],[f840,f862,f764]) ).
fof(f964,plain,
( sk4 = app(nil,tl(sk4))
| ~ spl0_5
| ~ spl0_18 ),
inference(superposition,[],[f414,f775]) ).
fof(f974,plain,
( ~ ssList(nil)
| spl0_1
| ~ spl0_16 ),
inference(resolution,[],[f795,f392]) ).
fof(f976,plain,
( $false
| spl0_1
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f974,f429]) ).
fof(f977,plain,
( spl0_1
| ~ spl0_8
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f976]) ).
fof(f1213,plain,
! [X0] :
( ~ ssList(X0)
| nil = sk3
| hd(sk3) = hd(app(sk3,X0)) ),
inference(resolution,[],[f129,f202]) ).
fof(f1235,plain,
( sk4 = tl(sk4)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_18 ),
inference(superposition,[],[f964,f559]) ).
fof(f1459,plain,
( sk4 = cons(hd(sk4),sk4)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f770,f1235]) ).
fof(f1523,plain,
! [X0] :
( ~ ssList(X0)
| nil = sk3
| tl(app(sk3,X0)) = app(tl(sk3),X0) ),
inference(resolution,[],[f144,f202]) ).
fof(f1576,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X1) != app(nil,X1)
| nil = X0 )
| ~ spl0_8 ),
inference(resolution,[],[f163,f429]) ).
fof(f1660,plain,
( sk4 != sk4
| ssItem(hd(sk4))
| ~ ssList(sk4)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f308,f1459]) ).
fof(f1668,plain,
( ssItem(hd(sk4))
| ~ ssList(sk4)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_17
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f1660]) ).
fof(f1673,plain,
( ssItem(hd(sk4))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1668,f203]) ).
fof(f1675,definition,
( spl0_27
<=> ssItem(hd(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f1677,plain,
( ssItem(hd(sk4))
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f1675]) ).
fof(f1692,plain,
( spl0_27
| ~ spl0_4
| ~ spl0_5
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1673,f773,f768,f412,f408,f1675]) ).
fof(f1703,plain,
( ~ ssList(sk4)
| nil = sk4
| ~ spl0_27 ),
inference(resolution,[],[f1677,f287]) ).
fof(f1704,plain,
( nil = sk4
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1703,f203]) ).
fof(f1705,plain,
( $false
| spl0_16
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1704,f765]) ).
fof(f1706,plain,
( spl0_16
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1705]) ).
fof(f1708,definition,
( spl0_33
<=> ! [X0] :
( ~ ssList(X0)
| hd(sk3) = hd(app(sk3,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f1709,plain,
( ! [X0] :
( ~ ssList(X0)
| hd(sk3) = hd(app(sk3,X0)) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f1708]) ).
fof(f1710,plain,
( spl0_18
| spl0_33 ),
inference(avatar_split_clause,[],[f1213,f1708,f773]) ).
fof(f1712,definition,
( spl0_34
<=> ! [X0] :
( ~ ssList(X0)
| tl(app(sk3,X0)) = app(tl(sk3),X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f1713,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(sk3,X0)) = app(tl(sk3),X0) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f1712]) ).
fof(f1714,plain,
( spl0_18
| spl0_34 ),
inference(avatar_split_clause,[],[f1523,f1712,f773]) ).
fof(f1942,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X2)
| ~ ssList(X0)
| ssItem(X1)
| ~ ssList(X3) )
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f374,f460]) ).
fof(f1946,definition,
( spl0_35
<=> ! [X3] : ~ ssList(X3) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f1947,plain,
( ! [X3] : ~ ssList(X3)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f1946]) ).
fof(f1949,definition,
( spl0_36
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X1,cons(X2,X0)))
| ssItem(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f1950,plain,
( ! [X2,X0,X1] :
( ~ ssList(app(X1,cons(X2,X0)))
| ~ ssList(X1)
| ~ ssList(X0)
| ssItem(X2) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f1949]) ).
fof(f1962,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| tl(cons(X0,X1)) = X1 )
| ~ spl0_14 ),
inference(backward_subsumption_resolution,[],[f305,f457]) ).
fof(f1963,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| hd(cons(X0,X1)) = X0 )
| ~ spl0_14 ),
inference(backward_subsumption_resolution,[],[f306,f457]) ).
fof(f1974,plain,
( ! [X0] :
( ~ singletonP(cons(X0,nil))
| ~ ssList(cons(X0,nil)) )
| ~ spl0_14 ),
inference(backward_subsumption_resolution,[],[f323,f457]) ).
fof(f2074,definition,
( spl0_37
<=> ssList(tl(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f2075,plain,
( ssList(tl(sk3))
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f2074]) ).
fof(f2076,plain,
( ~ ssList(tl(sk3))
| spl0_37 ),
inference(avatar_component_clause,[],[f2074]) ).
fof(f2097,plain,
( ! [X0,X1] : skaf82(X1) = tl(cons(X0,skaf82(X1)))
| ~ spl0_14 ),
inference(resolution,[],[f1962,f13]) ).
fof(f2133,plain,
( ! [X0,X1] : hd(cons(X0,skaf82(X1))) = X0
| ~ spl0_14 ),
inference(resolution,[],[f1963,f13]) ).
fof(f2168,plain,
( ~ ssList(sk3)
| nil = sk3
| spl0_37 ),
inference(resolution,[],[f2076,f75]) ).
fof(f2169,plain,
( nil = sk3
| spl0_37 ),
inference(forward_subsumption_resolution,[],[f2168,f202]) ).
fof(f2170,plain,
( $false
| spl0_18
| spl0_37 ),
inference(forward_subsumption_resolution,[],[f2169,f774]) ).
fof(f2171,plain,
( spl0_18
| spl0_37 ),
inference(avatar_contradiction_clause,[],[f2170]) ).
fof(f2187,definition,
( spl0_40
<=> nil = tl(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f2188,plain,
( nil != tl(sk3)
| spl0_40 ),
inference(avatar_component_clause,[],[f2187]) ).
fof(f2189,plain,
( nil = tl(sk3)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f2187]) ).
fof(f3436,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssItem(X2)
| ~ ssList(X3)
| ~ ssList(app(X1,cons(X2,X0)))
| ~ ssList(cons(X2,X3)) )
| ~ spl0_15 ),
inference(resolution,[],[f1942,f85]) ).
fof(f3453,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssItem(X2)
| ~ ssList(X3)
| ~ ssList(app(X1,cons(X2,X0))) )
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f3436,f295]) ).
fof(f3462,plain,
( spl0_35
| spl0_36
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f3453,f459,f1949,f1946]) ).
fof(f3863,plain,
( hd(app(sk3,tl(sk4))) = hd(sk3)
| ~ spl0_4
| ~ spl0_33 ),
inference(resolution,[],[f1709,f409]) ).
fof(f3867,plain,
( hd(sk3) = hd(sk4)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_33 ),
inference(forward_demodulation,[],[f3863,f414]) ).
fof(f5362,plain,
( tl(app(sk3,tl(sk4))) = app(tl(sk3),tl(sk4))
| ~ spl0_4
| ~ spl0_34 ),
inference(resolution,[],[f1713,f409]) ).
fof(f5637,plain,
( tl(sk4) = app(tl(sk3),tl(sk4))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_34 ),
inference(forward_demodulation,[],[f5362,f414]) ).
fof(f6333,plain,
( $false
| ~ spl0_35 ),
inference(backward_subsumption_resolution,[],[f203,f1947]) ).
fof(f6368,plain,
~ spl0_35,
inference(avatar_contradiction_clause,[],[f6333]) ).
fof(f12843,plain,
( ! [X0] :
( ~ ssList(app(X0,sk4))
| ~ ssList(X0)
| ~ ssList(skaf82(sk4))
| ssItem(skaf83(sk4)) )
| ~ spl0_25
| ~ spl0_36 ),
inference(superposition,[],[f1950,f864]) ).
fof(f12849,plain,
( ! [X0] :
( ~ ssList(app(X0,sk4))
| ~ ssList(X0)
| ssItem(skaf83(sk4)) )
| ~ spl0_25
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f12843,f13]) ).
fof(f12857,plain,
( ! [X0] :
( ~ ssList(app(X0,sk4))
| ~ ssList(X0) )
| ~ spl0_25
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f12849,f254]) ).
fof(f12881,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(X0)
| ~ ssList(sk4) )
| ~ spl0_25
| ~ spl0_36 ),
inference(resolution,[],[f12857,f85]) ).
fof(f12883,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(sk4) )
| ~ spl0_25
| ~ spl0_36 ),
inference(duplicate_literal_removal,[],[f12881]) ).
fof(f12885,plain,
( ! [X0] : ~ ssList(X0)
| ~ spl0_25
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f12883,f203]) ).
fof(f12888,plain,
( spl0_35
| ~ spl0_25
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f12885,f1949,f862,f1946]) ).
fof(f15616,plain,
( hd(sk3) = skaf83(sk3)
| ~ spl0_14
| ~ spl0_22 ),
inference(superposition,[],[f2133,f844]) ).
fof(f16034,plain,
( tl(sk3) = skaf82(sk3)
| ~ spl0_14
| ~ spl0_22 ),
inference(superposition,[],[f2097,f844]) ).
fof(f25238,plain,
( ! [X0] :
( ~ ssList(X0)
| app(nil,tl(sk4)) != app(X0,tl(sk4))
| nil = X0 )
| ~ spl0_4
| ~ spl0_8 ),
inference(resolution,[],[f1576,f409]) ).
fof(f25243,plain,
( ! [X0] :
( tl(sk4) != app(X0,tl(sk4))
| ~ ssList(X0)
| nil = X0 )
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f25238,f559]) ).
fof(f51734,plain,
( hd(sk4) = skaf83(sk3)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_14
| ~ spl0_22
| ~ spl0_33 ),
inference(forward_demodulation,[],[f15616,f3867]) ).
fof(f51834,plain,
( sk3 = cons(hd(sk4),skaf82(sk3))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_14
| ~ spl0_22
| ~ spl0_33 ),
inference(superposition,[],[f844,f51734]) ).
fof(f51837,plain,
( sk3 = cons(hd(sk4),tl(sk3))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_14
| ~ spl0_22
| ~ spl0_33 ),
inference(forward_demodulation,[],[f51834,f16034]) ).
fof(f51838,plain,
( sk3 = cons(hd(sk4),nil)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_14
| ~ spl0_22
| ~ spl0_33
| ~ spl0_40 ),
inference(forward_demodulation,[],[f51837,f2189]) ).
fof(f66572,plain,
( ~ singletonP(sk3)
| ~ ssList(sk3)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_14
| ~ spl0_22
| ~ spl0_33
| ~ spl0_40 ),
inference(superposition,[],[f1974,f51838]) ).
fof(f66645,plain,
( ~ ssList(sk3)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_14
| ~ spl0_22
| ~ spl0_33
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f66572,f401]) ).
fof(f66649,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_14
| ~ spl0_22
| ~ spl0_33
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f66645,f202]) ).
fof(f66650,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_14
| ~ spl0_22
| ~ spl0_33
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f66649]) ).
fof(f76245,plain,
( tl(sk4) != tl(sk4)
| ~ ssList(tl(sk3))
| nil = tl(sk3)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_34 ),
inference(superposition,[],[f25243,f5637]) ).
fof(f76247,plain,
( ~ ssList(tl(sk3))
| nil = tl(sk3)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f76245]) ).
fof(f76249,plain,
( nil = tl(sk3)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_34
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f76247,f2075]) ).
fof(f76251,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_34
| ~ spl0_37
| spl0_40 ),
inference(forward_subsumption_resolution,[],[f76249,f2188]) ).
fof(f76252,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_34
| ~ spl0_37
| spl0_40 ),
inference(avatar_contradiction_clause,[],[f76251]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f402]) ).
cnf(s2,plain,
( spl0_1
| spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f419]) ).
cnf(s5,plain,
~ spl0_1,
inference(sat_conversion,[],[f422]) ).
cnf(s12,plain,
( spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f461]) ).
cnf(s15,plain,
spl0_8,
inference(sat_conversion,[],[f464]) ).
cnf(s17,plain,
( spl0_1
| spl0_4
| ~ spl0_8 ),
inference(sat_conversion,[],[f558]) ).
cnf(s18,plain,
( ~ spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f564]) ).
cnf(s19,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(sat_conversion,[],[f695]) ).
cnf(s20,plain,
( spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f771]) ).
cnf(s24,plain,
( spl0_18
| spl0_22 ),
inference(sat_conversion,[],[f845]) ).
cnf(s26,plain,
( spl0_16
| spl0_25 ),
inference(sat_conversion,[],[f865]) ).
cnf(s32,plain,
( spl0_1
| ~ spl0_8
| ~ spl0_16 ),
inference(sat_conversion,[],[f977]) ).
cnf(s37,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_17
| ~ spl0_18
| spl0_27 ),
inference(sat_conversion,[],[f1692]) ).
cnf(s39,plain,
( spl0_16
| ~ spl0_27 ),
inference(sat_conversion,[],[f1706]) ).
cnf(s40,plain,
( spl0_18
| spl0_33 ),
inference(sat_conversion,[],[f1710]) ).
cnf(s41,plain,
( spl0_18
| spl0_34 ),
inference(sat_conversion,[],[f1714]) ).
cnf(s47,plain,
( spl0_18
| spl0_37 ),
inference(sat_conversion,[],[f2171]) ).
cnf(s86,plain,
( ~ spl0_15
| spl0_35
| spl0_36 ),
inference(sat_conversion,[],[f3462]) ).
cnf(s286,plain,
~ spl0_35,
inference(sat_conversion,[],[f6368]) ).
cnf(s491,plain,
( ~ spl0_25
| spl0_35
| ~ spl0_36 ),
inference(sat_conversion,[],[f12888]) ).
cnf(s3496,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_14
| ~ spl0_22
| ~ spl0_33
| ~ spl0_40 ),
inference(sat_conversion,[],[f66650]) ).
cnf(s4213,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_34
| ~ spl0_37
| spl0_40 ),
inference(sat_conversion,[],[f76252]) ).
cnf(s4359,plain,
( ~ spl0_15
| spl0_36 ),
inference(rat,[],[s86,s286]) ).
cnf(s4369,plain,
~ spl0_16,
inference(rat,[],[s32,s15,s5]) ).
cnf(s4370,plain,
~ spl0_3,
inference(rat,[],[s19,s15,s5]) ).
cnf(s4371,plain,
spl0_4,
inference(rat,[],[s17,s15,s5]) ).
cnf(s4383,plain,
~ spl0_27,
inference(rat,[],[s39,s4369]) ).
cnf(s4384,plain,
spl0_25,
inference(rat,[],[s26,s4369]) ).
cnf(s4385,plain,
spl0_17,
inference(rat,[],[s20,s4369]) ).
cnf(s4394,plain,
spl0_6,
inference(rat,[],[s18,s4371]) ).
cnf(s4438,plain,
~ spl0_36,
inference(rat,[],[s491,s286,s4384]) ).
cnf(s4465,plain,
~ spl0_15,
inference(rat,[],[s4359,s4438]) ).
cnf(s4466,plain,
spl0_14,
inference(rat,[],[s12,s4465]) ).
cnf(s4589,plain,
spl0_5,
inference(rat,[],[s2,s4394,s4371,s4370,s5]) ).
cnf(s4604,plain,
~ spl0_18,
inference(rat,[],[s37,s4383,s4371,s4385,s4589]) ).
cnf(s4619,plain,
spl0_37,
inference(rat,[],[s47,s4604]) ).
cnf(s4620,plain,
spl0_34,
inference(rat,[],[s41,s4604]) ).
cnf(s4621,plain,
spl0_33,
inference(rat,[],[s40,s4604]) ).
cnf(s4622,plain,
spl0_22,
inference(rat,[],[s24,s4604]) ).
cnf(s4658,plain,
spl0_40,
inference(rat,[],[s4213,s4619,s4589,s4371,s15,s4620]) ).
cnf(s4685,plain,
~ spl0_2,
inference(rat,[],[s3496,s4658,s4621,s4589,s4466,s4371,s4622]) ).
cnf(s4740,plain,
$false,
inference(rat,[],[s1,s4685,s5]) ).
fof(f76253,plain,
$false,
inference(avatar_sat_refutation,[],[s4740]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC253-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n010.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 08:43:51 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.24 Running first-order model finding
% 0.08/0.24 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.96/2.50 % (1777944)Will run a generic schedule for satisfiability detection.
% 8.96/2.50 % (1777960)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1611245813:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.96/2.50 % (1777957)% WARNING: option uhcvi not known.
% 8.96/2.50 % (1777958)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1740060317:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.96/2.50 % (1777956)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2961422747_2999 on theBenchmark for (2999ds/0Mi)
% 8.96/2.50 % (1777957)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3601635324:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.96/2.50 % (1777959)dis+10_1_sil=32000:sp=arity:random_seed=3781718340:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.96/2.50 % (1777961)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1517739017:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.96/2.50 % (1777962)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=767450303:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.96/2.50 % TRYING [1]
% 8.96/2.50 % TRYING [2]
% 8.96/2.50 % TRYING [3]
% 8.96/2.50 % (1777960)Instruction limit reached!
% 8.96/2.50 % (1777960)------------------------------
% 8.96/2.50 % (1777960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.96/2.50 % (1777960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.50 % (1777960)CaDiCaL version: 2.1.3
% 8.96/2.50 % (1777960)Termination reason: Instruction limit
% 8.96/2.50 % (1777960)Termination phase: Saturation
% 8.96/2.50 % (1777960)Time elapsed: 0.032 s
% 8.96/2.50 % (1777960)Peak memory usage: 13 MB
% 8.96/2.50 % (1777960)Instructions burned: 116 (million)
% 8.96/2.50 % (1777980)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3148566081:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.96/2.50 % TRYING [4]
% 8.96/2.50 % TRYING [1]
% 8.96/2.50 % TRYING [2]
% 8.96/2.50 % TRYING [3]
% 8.96/2.50 % TRYING [4]
% 8.96/2.50 % (1777959)Instruction limit reached!
% 8.96/2.50 % (1777959)------------------------------
% 8.96/2.50 % (1777959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.96/2.50 % (1777959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.50 % (1777959)CaDiCaL version: 2.1.3
% 8.96/2.50 % (1777959)Termination reason: Instruction limit
% 8.96/2.50 % (1777959)Termination phase: Saturation
% 8.96/2.50 % (1777959)Time elapsed: 0.059 s
% 8.96/2.50 % (1777959)Peak memory usage: 13 MB
% 8.96/2.50 % (1777959)Instructions burned: 103 (million)
% 8.96/2.50 % (1777961)Instruction limit reached!
% 8.96/2.50 % (1777961)------------------------------
% 8.96/2.50 % (1777961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.96/2.50 % (1777961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.50 % (1777961)CaDiCaL version: 2.1.3
% 8.96/2.50 % (1777961)Termination reason: Instruction limit
% 8.96/2.50 % (1777961)Termination phase: Saturation
% 8.96/2.50 % (1777961)Time elapsed: 0.060 s
% 8.96/2.50 % (1777961)Peak memory usage: 13 MB
% 8.96/2.50 % (1777961)Instructions burned: 131 (million)
% 8.96/2.50 % (1777993)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2042910673:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 8.96/2.50 % (1777994)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2007212766:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.96/2.50 % TRYING [5]
% 8.96/2.50 % (1777962)Instruction limit reached!
% 8.96/2.50 % (1777962)------------------------------
% 8.96/2.50 % (1777962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.96/2.50 % (1777962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.50 % (1777962)CaDiCaL version: 2.1.3
% 8.96/2.50 % (1777962)Termination reason: Instruction limit
% 8.96/2.50 % (1777962)Termination phase: Saturation
% 8.96/2.50 % (1777962)Time elapsed: 0.088 s
% 8.96/2.50 % (1777962)Peak memory usage: 14 MB
% 8.96/2.50 % (1777962)Instructions burned: 159 (million)
% 8.96/2.50 % TRYING [5]
% 8.96/2.50 % (1778005)ott-21_1_sil=16000:fs=off:random_seed=2578194072:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.96/2.50 % (1777993)Instruction limit reached!
% 8.96/2.50 % (1777993)------------------------------
% 8.96/2.50 % (1777993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.96/2.50 % (1777993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.50 % (1777993)CaDiCaL version: 2.1.3
% 8.96/2.50 % (1777993)Termination reason: Instruction limit
% 8.96/2.50 % (1777993)Termination phase: Saturation
% 8.96/2.50 % (1777993)Time elapsed: 0.065 s
% 8.96/2.50 % (1777993)Peak memory usage: 13 MB
% 8.96/2.50 % (1777993)Instructions burned: 131 (million)
% 8.96/2.50 % (1778026)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2757748772:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 8.96/2.50 % TRYING [6]
% 8.96/2.50 % (1777980)Instruction limit reached!
% 8.96/2.50 % (1777980)------------------------------
% 8.96/2.50 % (1777980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.96/2.50 % (1777980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.50 % (1777980)CaDiCaL version: 2.1.3
% 8.96/2.50 % (1777980)Termination reason: Instruction limit
% 8.96/2.50 % (1777980)Termination phase: Finite model building constraint generation
% 8.96/2.50 % (1777980)Time elapsed: 0.150 s
% 8.96/2.50 % (1777980)Peak memory usage: 36 MB
% 8.96/2.50 % (1777980)Instructions burned: 719 (million)
% 8.96/2.50 % (1778034)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3609431415:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 8.96/2.50 % TRYING [1]
% 8.96/2.50 % (1778005)Instruction limit reached!
% 8.96/2.50 % (1778005)------------------------------
% 8.96/2.50 % (1778005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.96/2.50 % (1778005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.50 % (1778005)CaDiCaL version: 2.1.3
% 8.96/2.50 % (1778005)Termination reason: Instruction limit
% 8.96/2.50 % (1778005)Termination phase: Saturation
% 8.96/2.50 % (1778005)Time elapsed: 0.094 s
% 8.96/2.50 % (1778005)Peak memory usage: 13 MB
% 8.96/2.50 % (1778005)Instructions burned: 180 (million)
% 8.96/2.50 % TRYING [2]
% 8.96/2.50 % TRYING [3]
% 8.96/2.50 % (1778040)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1744248710:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 8.96/2.50 % TRYING [4]
% 8.96/2.50 % TRYING [6]
% 8.96/2.50 % TRYING [5]
% 8.96/2.50 % (1778034)Instruction limit reached!
% 8.96/2.50 % (1778034)------------------------------
% 8.96/2.50 % (1778034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.96/2.50 % (1778034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.50 % (1778034)CaDiCaL version: 2.1.3
% 8.96/2.50 % (1778034)Termination reason: Instruction limit
% 8.96/2.50 % (1778034)Termination phase: Finite model building SAT solving
% 8.96/2.50 % (1778034)Time elapsed: 0.180 s
% 8.96/2.50 % (1778034)Peak memory usage: 23 MB
% 8.96/2.50 % (1778034)Instructions burned: 866 (million)
% 8.96/2.50 % (1778077)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=455578233:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 8.96/2.50 % TRYING [14]
% 8.96/2.50 % (1777994)Instruction limit reached!
% 8.96/2.50 % (1777994)------------------------------
% 8.96/2.50 % (1777994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.96/2.50 % (1777994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.50 % (1777994)CaDiCaL version: 2.1.3
% 8.96/2.50 % (1777994)Termination reason: Instruction limit
% 8.96/2.50 % (1777994)Termination phase: Saturation
% 8.96/2.50 % (1777994)Time elapsed: 0.387 s
% 8.96/2.50 % (1777994)Peak memory usage: 19 MB
% 8.96/2.50 % (1777994)Instructions burned: 684 (million)
% 8.96/2.50 % (1778098)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=792334720:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 8.96/2.50 % (1778026)Instruction limit reached!
% 8.96/2.50 % (1778026)------------------------------
% 8.96/2.50 % (1778026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.96/2.50 % (1778026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.50 % (1778026)CaDiCaL version: 2.1.3
% 8.96/2.50 % (1778026)Termination reason: Instruction limit
% 8.96/2.50 % (1778026)Termination phase: Saturation
% 8.96/2.50 % (1778026)Time elapsed: 0.342 s
% 8.96/2.50 % (1778026)Peak memory usage: 14 MB
% 8.96/2.50 % (1778026)Instructions burned: 478 (million)
% 8.96/2.50 % (1778106)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4280670651:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 8.96/2.50 % (1778077)Instruction limit reached!
% 8.96/2.50 % (1778077)------------------------------
% 8.96/2.50 % (1778077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.96/2.50 % (1778077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.50 % (1778077)CaDiCaL version: 2.1.3
% 8.96/2.50 % (1778077)Termination reason: Instruction limit
% 8.96/2.50 % (1778077)Termination phase: Finite model building constraint generation
% 8.96/2.50 % (1778077)Time elapsed: 0.190 s
% 8.96/2.50 % (1778077)Peak memory usage: 73 MB
% 8.96/2.50 % (1778077)Instructions burned: 893 (million)
% 8.96/2.50 % (1778108)fmb+10_1_sil=64000:random_seed=984382109:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 8.96/2.50 % TRYING [1]
% 8.96/2.50 % TRYING [2]
% 8.96/2.50 % TRYING [3]
% 8.96/2.50 % TRYING [4]
% 8.96/2.50 % TRYING [7]
% 8.96/2.50 % TRYING [5]
% 8.96/2.50 % (1778040)Instruction limit reached!
% 8.96/2.50 % (1778040)------------------------------
% 8.96/2.50 % (1778040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.96/2.50 % (1778040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.50 % (1778040)CaDiCaL version: 2.1.3
% 8.96/2.50 % (1778040)Termination reason: Instruction limit
% 8.96/2.50 % (1778040)Termination phase: Saturation
% 8.96/2.50 % (1778040)Time elapsed: 0.661 s
% 8.96/2.50 % (1778040)Peak memory usage: 28 MB
% 8.96/2.50 % (1778040)Instructions burned: 1179 (million)
% 8.96/2.50 % (1778110)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2440477200:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 8.96/2.50 % TRYING [20]
% 8.96/2.50 % TRYING [6]
% 8.96/2.50 % (1778106)Instruction limit reached!
% 8.96/2.50 % (1778106)------------------------------
% 8.96/2.50 % (1778106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.96/2.50 % (1778106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.50 % (1778106)CaDiCaL version: 2.1.3
% 8.96/2.50 % (1778106)Termination reason: Instruction limit
% 8.96/2.50 % (1778106)Termination phase: Saturation
% 8.96/2.50 % (1778106)Time elapsed: 0.468 s
% 8.96/2.50 % (1778106)Peak memory usage: 20 MB
% 8.96/2.50 % (1778106)Instructions burned: 879 (million)
% 8.96/2.50 % (1778112)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3672294131:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 8.96/2.50 % TRYING [8]
% 8.96/2.50 % (1778098)Instruction limit reached!
% 8.96/2.50 % (1778098)------------------------------
% 8.96/2.50 % (1778098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.96/2.50 % (1778098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.50 % (1778098)CaDiCaL version: 2.1.3
% 8.96/2.50 % (1778098)Termination reason: Instruction limit
% 8.96/2.50 % (1778098)Termination phase: Saturation
% 8.96/2.50 % (1778098)Time elapsed: 0.676 s
% 8.96/2.50 % (1778098)Peak memory usage: 19 MB
% 8.96/2.50 % (1778098)Instructions burned: 692 (million)
% 8.96/2.50 % (1778114)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1459034036:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 8.96/2.50 % (1778112)Instruction limit reached!
% 8.96/2.50 % (1778112)------------------------------
% 8.96/2.50 % (1778112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.96/2.50 % (1778112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.50 % (1778112)CaDiCaL version: 2.1.3
% 8.96/2.50 % (1778112)Termination reason: Instruction limit
% 8.96/2.50 % (1778112)Termination phase: Finite model building constraint generation
% 8.96/2.50 % (1778112)Time elapsed: 0.458 s
% 8.96/2.50 % (1778112)Peak memory usage: 79 MB
% 8.96/2.50 % (1778112)Instructions burned: 920 (million)
% 8.96/2.50 % (1778131)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2821027593:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 8.96/2.50 % TRYING [7]
% 8.96/2.50 % TRYING [8]
% 8.96/2.50 % (1777957) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1777944-1777957"...
% 8.96/2.50 % (1777957)...printing done.
% 8.96/2.50 % (1777957)Refutation found. Thanks to Tanya!
% 8.96/2.50 % SZS status Unsatisfiable for theBenchmark
% 8.96/2.50 % SZS output start Proof for theBenchmark
% See solution above
% 8.96/2.51 % (1777957)------------------------------
% 8.96/2.51 % (1777957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.96/2.51 % (1777957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.51 % (1777957)CaDiCaL version: 2.1.3
% 8.96/2.51 % (1777957)Termination reason: Refutation
% 8.96/2.51 % (1777957)Time elapsed: 2.176 s
% 8.96/2.51 % (1777957)Peak memory usage: 44 MB
% 8.96/2.51 % (1777957)Instructions burned: 3576 (million)
% 8.96/2.51 % (1777944)Success in time 2.256 s
% 8.96/2.51 % Vampire exiting
%------------------------------------------------------------------------------