%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC329-1 : 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 : n012.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 01:05:34 PM UTC 2026
% Result : Unsatisfiable 7.41s 1.36s
% Output : Refutation 7.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 47
% Syntax : Number of formulae : 184 ( 29 unt; 17 def)
% Number of atoms : 585 ( 55 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 780 ( 379 ~; 384 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 18 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 111 ( 0 sgn 111 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause1) ).
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(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause51) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause52) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause53) ).
fof(f56,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause56) ).
fof(f61,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause61) ).
fof(f64,axiom,
! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause64) ).
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(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] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
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(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) = cons(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause120) ).
fof(f126,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(reorient_equations,[],[f125]) ).
fof(f143,axiom,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause132) ).
fof(f164,axiom,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause152) ).
fof(f182,axiom,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause169) ).
fof(f184,axiom,
! [X2,X3,X0,X1] :
( cons(X0,X1) != cons(X2,X3)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X3)
| ~ ssList(X1)
| X3 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause171) ).
fof(f185,plain,
! [X2,X3,X0,X1] :
( cons(X0,X1) != cons(X2,X3)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X3)
| ~ ssList(X1)
| X1 = X3 ),
inference(reorient_equations,[],[f184]) ).
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/sandbox/benchmark/Axioms/SWC001-0.ax',clause173) ).
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(f207,negated_conjecture,
( ssItem(sk5)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f212,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f213,plain,
( sk3 = cons(sk5,nil)
| nil = sk3 ),
inference(reorient_equations,[],[f212]) ).
fof(f214,negated_conjecture,
( memberP(sk4,sk5)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f216,negated_conjecture,
( ~ segmentP(sk2,sk1)
| ~ equalelemsP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f219,plain,
( ~ segmentP(sk4,sk3)
| ~ equalelemsP(sk3) ),
inference(definition_unfolding,[],[f216,f204,f205,f205]) ).
fof(f234,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(app(X0,X1),X2))
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f187]) ).
fof(f237,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(f244,plain,
~ equalelemsP(nil),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f249,plain,
! [X0] :
( ~ segmentP(X0,nil)
| ~ ssList(X0) ),
inference(consistent_polarity_flipping,[],[f56]) ).
fof(f252,plain,
! [X0] :
( ~ frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(consistent_polarity_flipping,[],[f61]) ).
fof(f254,plain,
! [X0] :
( ~ equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f64]) ).
fof(f287,plain,
! [X0,X1] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X1,skaf45(X0,X1)) = X0 ),
inference(consistent_polarity_flipping,[],[f143]) ).
fof(f299,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X2)
| segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X0,X1) ),
inference(consistent_polarity_flipping,[],[f164]) ).
fof(f311,plain,
! [X0,X1] :
( memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
inference(consistent_polarity_flipping,[],[f182]) ).
fof(f313,plain,
! [X2,X0,X1] :
( ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(app(app(X0,X1),X2),X1) ),
inference(consistent_polarity_flipping,[],[f234]) ).
fof(f326,plain,
( ~ memberP(sk4,sk5)
| nil = sk3 ),
inference(consistent_polarity_flipping,[],[f214]) ).
fof(f328,plain,
( segmentP(sk4,sk3)
| equalelemsP(sk3) ),
inference(consistent_polarity_flipping,[],[f219]) ).
fof(f336,definition,
( spl0_1
<=> equalelemsP(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f338,plain,
( equalelemsP(sk3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f340,definition,
( spl0_2
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f342,plain,
( segmentP(sk4,sk3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f343,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f328,f340,f336]) ).
fof(f345,definition,
( spl0_3
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f346,plain,
( nil != sk3
| spl0_3 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f347,plain,
( nil = sk3
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f353,definition,
( spl0_5
<=> memberP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f355,plain,
( ~ memberP(sk4,sk5)
| spl0_5 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f356,plain,
( spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f326,f353,f345]) ).
fof(f358,definition,
( spl0_6
<=> sk3 = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f360,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f361,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f213,f358,f345]) ).
fof(f370,definition,
( spl0_8
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f372,plain,
( ssItem(sk5)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f373,plain,
( spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f207,f370,f345]) ).
fof(f380,definition,
( spl0_10
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f381,plain,
( ssList(nil)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f408,definition,
( spl0_16
<=> ! [X1] : ssItem(X1) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f409,plain,
( ! [X1] : ssItem(X1)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f411,definition,
( spl0_17
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f412,plain,
( ! [X0] :
( duplicatefreeP(X0)
| ~ ssList(X0) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f413,plain,
( spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f72,f411,f408]) ).
fof(f416,plain,
spl0_10,
inference(avatar_split_clause,[],[f8,f380]) ).
fof(f425,plain,
( equalelemsP(nil)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f338,f347]) ).
fof(f429,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f244,f425]) ).
fof(f430,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f429]) ).
fof(f432,plain,
( segmentP(sk4,nil)
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f342,f347]) ).
fof(f438,plain,
( ~ ssList(sk4)
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f249,f432]) ).
fof(f439,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f438,f203]) ).
fof(f440,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f439]) ).
fof(f516,plain,
sk3 = app(nil,sk3),
inference(resolution,[],[f74,f202]) ).
fof(f532,plain,
( ! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1) )
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f86,f409]) ).
fof(f751,plain,
( sk3 = cons(skaf83(sk3),skaf82(sk3))
| nil = sk3 ),
inference(resolution,[],[f112,f202]) ).
fof(f754,plain,
( sk3 = cons(skaf83(sk3),skaf82(sk3))
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f751,f346]) ).
fof(f1050,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(X0)
| app(X0,skaf45(X0,X0)) = X0
| ~ ssList(X0) ),
inference(resolution,[],[f287,f252]) ).
fof(f1053,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,skaf45(X0,X0)) = X0 ),
inference(duplicate_literal_removal,[],[f1050]) ).
fof(f1201,plain,
( ! [X0] :
( segmentP(X0,sk3)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(sk4)
| segmentP(sk4,X0) )
| ~ spl0_2 ),
inference(resolution,[],[f299,f342]) ).
fof(f1205,plain,
( ! [X0] :
( segmentP(X0,sk3)
| ~ ssList(X0)
| ~ ssList(sk4)
| segmentP(sk4,X0) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f1201,f202]) ).
fof(f1206,plain,
( ! [X0] :
( ~ ssList(X0)
| segmentP(X0,sk3)
| segmentP(sk4,X0) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f1205,f203]) ).
fof(f1544,definition,
( spl0_27
<=> nil = skaf82(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f1546,plain,
( nil = skaf82(sk3)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f1544]) ).
fof(f1578,plain,
( sk3 = cons(skaf83(sk3),nil)
| spl0_3
| ~ spl0_27 ),
inference(superposition,[],[f754,f1546]) ).
fof(f1856,plain,
! [X0] :
( ~ ssList(app(sk3,X0))
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ segmentP(app(sk3,X0),sk3) ),
inference(superposition,[],[f313,f516]) ).
fof(f1861,plain,
( ! [X0] :
( ~ ssList(app(sk3,X0))
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ segmentP(app(sk3,X0),sk3) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f1856,f381]) ).
fof(f1864,plain,
( ! [X0] :
( ~ segmentP(app(sk3,X0),sk3)
| ~ ssList(X0)
| ~ ssList(app(sk3,X0)) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f1861,f202]) ).
fof(f2286,plain,
( ~ equalelemsP(sk3)
| ~ ssItem(skaf83(sk3))
| spl0_3
| ~ spl0_27 ),
inference(superposition,[],[f254,f1578]) ).
fof(f2549,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk5,X0) = app(cons(sk5,nil),X0) )
| ~ spl0_8 ),
inference(resolution,[],[f126,f372]) ).
fof(f2550,plain,
( ! [X0] :
( ~ ssList(X0)
| app(sk3,X0) = cons(sk5,X0) )
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2549,f360]) ).
fof(f2850,plain,
( ! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| nil = X1 )
| ~ spl0_6 ),
inference(superposition,[],[f185,f360]) ).
fof(f2864,plain,
( ! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| nil = X1 )
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f2850,f372]) ).
fof(f2879,plain,
( ! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1 )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f2864,f381]) ).
fof(f2913,plain,
( ~ ssItem(sk5)
| ~ ssList(sk4)
| sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| spl0_5 ),
inference(resolution,[],[f311,f355]) ).
fof(f2920,plain,
( ~ ssList(sk4)
| sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| spl0_5
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f2913,f372]) ).
fof(f2927,plain,
( sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| spl0_5
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f2920,f203]) ).
fof(f3120,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(X3) )
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f237,f412]) ).
fof(f3133,plain,
( ! [X0,X1] :
( ~ ssList(app(app(X0,cons(sk5,X1)),sk3))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(sk5)
| ~ ssList(nil) )
| ~ spl0_6
| ~ spl0_17 ),
inference(superposition,[],[f3120,f360]) ).
fof(f3142,plain,
( ! [X0,X1] :
( ~ ssList(app(app(X0,cons(sk5,X1)),sk3))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f3133,f372]) ).
fof(f3159,plain,
( ! [X0,X1] :
( ~ ssList(app(app(X0,cons(sk5,X1)),sk3))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f3142,f381]) ).
fof(f3667,plain,
( ! [X0,X1] : app(sk3,skaf43(X0,X1)) = cons(sk5,skaf43(X0,X1))
| ~ spl0_6
| ~ spl0_8 ),
inference(resolution,[],[f2550,f52]) ).
fof(f4054,plain,
( ! [X0] :
( ~ ssList(app(sk4,X0))
| ~ ssList(skaf42(sk4,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(X0)
| ~ segmentP(app(sk4,X0),cons(sk5,skaf43(sk5,sk4))) )
| spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f313,f2927]) ).
fof(f4059,plain,
( ! [X0] :
( ~ ssList(app(sk4,X0))
| ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(X0)
| ~ segmentP(app(sk4,X0),cons(sk5,skaf43(sk5,sk4))) )
| spl0_5
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f4054,f53]) ).
fof(f4072,definition,
( spl0_114
<=> ssList(cons(sk5,skaf43(sk5,sk4))) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
fof(f4073,plain,
( ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f4072]) ).
fof(f4074,plain,
( ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| spl0_114 ),
inference(avatar_component_clause,[],[f4072]) ).
fof(f4086,definition,
( spl0_117
<=> ! [X0] :
( ~ ssList(app(sk4,X0))
| ~ segmentP(app(sk4,X0),cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
fof(f4087,plain,
( ! [X0] :
( ~ segmentP(app(sk4,X0),cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(app(sk4,X0))
| ~ ssList(X0) )
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f4086]) ).
fof(f4088,plain,
( ~ spl0_114
| spl0_117
| spl0_5
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f4059,f370,f353,f4086,f4072]) ).
fof(f4167,plain,
( sk3 != sk3
| ~ ssItem(skaf83(sk3))
| ~ ssList(skaf82(sk3))
| nil = skaf82(sk3)
| spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f2879,f754]) ).
fof(f4168,plain,
( ~ ssItem(skaf83(sk3))
| ~ ssList(skaf82(sk3))
| nil = skaf82(sk3)
| spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f4167]) ).
fof(f4246,plain,
( ~ ssList(app(sk4,sk3))
| ~ ssList(skaf43(sk5,sk4))
| ~ ssList(skaf42(sk4,sk5))
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f3159,f2927]) ).
fof(f4247,plain,
( ~ ssList(app(sk4,sk3))
| ~ ssList(skaf42(sk4,sk5))
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f4246,f52]) ).
fof(f4250,plain,
( ~ ssList(app(sk4,sk3))
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f4247,f53]) ).
fof(f4589,definition,
( spl0_145
<=> ssList(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
fof(f4590,plain,
( ssList(sk3)
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f4589]) ).
fof(f4751,plain,
spl0_145,
inference(avatar_split_clause,[],[f202,f4589]) ).
fof(f4986,plain,
( ~ ssList(skaf82(sk3))
| nil = skaf82(sk3)
| spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f4168,f12]) ).
fof(f5062,definition,
( spl0_198
<=> ssList(skaf82(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).
fof(f5064,plain,
( ~ ssList(skaf82(sk3))
| spl0_198 ),
inference(avatar_component_clause,[],[f5062]) ).
fof(f5075,plain,
( spl0_27
| ~ spl0_198
| spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f4986,f380,f370,f358,f345,f5062,f1544]) ).
fof(f5189,definition,
( spl0_201
<=> ssList(sk4) ),
introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).
fof(f5190,plain,
( ssList(sk4)
| ~ spl0_201 ),
inference(avatar_component_clause,[],[f5189]) ).
fof(f5242,plain,
spl0_201,
inference(avatar_split_clause,[],[f203,f5189]) ).
fof(f5719,plain,
( $false
| spl0_198 ),
inference(forward_subsumption_resolution,[],[f5064,f13]) ).
fof(f5720,plain,
spl0_198,
inference(avatar_contradiction_clause,[],[f5719]) ).
fof(f6791,plain,
( ~ ssList(sk4)
| ~ ssList(sk3)
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_17 ),
inference(resolution,[],[f4250,f85]) ).
fof(f6792,plain,
( ~ ssList(sk3)
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_17
| ~ spl0_201 ),
inference(forward_subsumption_resolution,[],[f6791,f5190]) ).
fof(f6793,plain,
( $false
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_17
| ~ spl0_145
| ~ spl0_201 ),
inference(forward_subsumption_resolution,[],[f6792,f4590]) ).
fof(f6794,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_17
| ~ spl0_145
| ~ spl0_201 ),
inference(avatar_contradiction_clause,[],[f6793]) ).
fof(f10074,plain,
( ~ ssList(skaf43(sk5,sk4))
| ~ spl0_16
| spl0_114 ),
inference(resolution,[],[f4074,f532]) ).
fof(f10075,plain,
( $false
| ~ spl0_16
| spl0_114 ),
inference(forward_subsumption_resolution,[],[f10074,f52]) ).
fof(f10076,plain,
( ~ spl0_16
| spl0_114 ),
inference(avatar_contradiction_clause,[],[f10075]) ).
fof(f10103,plain,
( segmentP(cons(sk5,skaf43(sk5,sk4)),sk3)
| segmentP(sk4,cons(sk5,skaf43(sk5,sk4)))
| ~ spl0_2
| ~ spl0_114 ),
inference(resolution,[],[f4073,f1206]) ).
fof(f10116,definition,
( spl0_284
<=> segmentP(sk4,cons(sk5,skaf43(sk5,sk4))) ),
introduced(definition,[new_symbols(definition,[spl0_284])],[avatar_definition]) ).
fof(f10120,definition,
( spl0_285
<=> segmentP(cons(sk5,skaf43(sk5,sk4)),sk3) ),
introduced(definition,[new_symbols(definition,[spl0_285])],[avatar_definition]) ).
fof(f10122,plain,
( segmentP(cons(sk5,skaf43(sk5,sk4)),sk3)
| ~ spl0_285 ),
inference(avatar_component_clause,[],[f10120]) ).
fof(f10123,plain,
( spl0_284
| spl0_285
| ~ spl0_2
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f10103,f4072,f340,f10120,f10116]) ).
fof(f10843,plain,
( sk4 = app(sk4,skaf45(sk4,sk4))
| ~ spl0_201 ),
inference(resolution,[],[f1053,f5190]) ).
fof(f37989,plain,
( ! [X0,X1] :
( ~ segmentP(cons(sk5,skaf43(X0,X1)),sk3)
| ~ ssList(skaf43(X0,X1))
| ~ ssList(cons(sk5,skaf43(X0,X1))) )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f1864,f3667]) ).
fof(f38015,plain,
( ! [X0,X1] :
( ~ segmentP(cons(sk5,skaf43(X0,X1)),sk3)
| ~ ssList(skaf43(X0,X1)) )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f37989,f532]) ).
fof(f38026,plain,
( ! [X0,X1] : ~ segmentP(cons(sk5,skaf43(X0,X1)),sk3)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f38015,f52]) ).
fof(f49297,plain,
( ~ segmentP(sk4,cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(sk4)
| ~ ssList(skaf45(sk4,sk4))
| ~ spl0_117
| ~ spl0_201 ),
inference(superposition,[],[f4087,f10843]) ).
fof(f49308,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_16
| ~ spl0_285 ),
inference(forward_subsumption_resolution,[],[f10122,f38026]) ).
fof(f49309,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_16
| ~ spl0_285 ),
inference(avatar_contradiction_clause,[],[f49308]) ).
fof(f49312,plain,
( ~ segmentP(sk4,cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(skaf45(sk4,sk4))
| ~ spl0_117
| ~ spl0_201 ),
inference(forward_subsumption_resolution,[],[f49297,f5190]) ).
fof(f49315,plain,
( ~ segmentP(sk4,cons(sk5,skaf43(sk5,sk4)))
| ~ spl0_117
| ~ spl0_201 ),
inference(forward_subsumption_resolution,[],[f49312,f51]) ).
fof(f49317,plain,
( ~ spl0_284
| ~ spl0_117
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f49315,f5189,f4086,f10116]) ).
fof(f49331,plain,
( ~ equalelemsP(sk3)
| spl0_3
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f2286,f12]) ).
fof(f49349,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f49331,f1544,f345,f336]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f343]) ).
cnf(s3,plain,
( spl0_3
| ~ spl0_5 ),
inference(sat_conversion,[],[f356]) ).
cnf(s4,plain,
( spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f361]) ).
cnf(s8,plain,
( spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f373]) ).
cnf(s16,plain,
( spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f413]) ).
cnf(s19,plain,
spl0_10,
inference(sat_conversion,[],[f416]) ).
cnf(s24,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f430]) ).
cnf(s25,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f440]) ).
cnf(s142,plain,
( spl0_5
| ~ spl0_8
| ~ spl0_114
| spl0_117 ),
inference(sat_conversion,[],[f4088]) ).
cnf(s336,plain,
spl0_145,
inference(sat_conversion,[],[f4751]) ).
cnf(s501,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| spl0_27
| ~ spl0_198 ),
inference(sat_conversion,[],[f5075]) ).
cnf(s611,plain,
spl0_201,
inference(sat_conversion,[],[f5242]) ).
cnf(s627,plain,
spl0_198,
inference(sat_conversion,[],[f5720]) ).
cnf(s669,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_17
| ~ spl0_145
| ~ spl0_201 ),
inference(sat_conversion,[],[f6794]) ).
cnf(s917,plain,
( ~ spl0_16
| spl0_114 ),
inference(sat_conversion,[],[f10076]) ).
cnf(s920,plain,
( ~ spl0_2
| ~ spl0_114
| spl0_284
| spl0_285 ),
inference(sat_conversion,[],[f10123]) ).
cnf(s2587,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_16
| ~ spl0_285 ),
inference(sat_conversion,[],[f49309]) ).
cnf(s2588,plain,
( ~ spl0_117
| ~ spl0_201
| ~ spl0_284 ),
inference(sat_conversion,[],[f49317]) ).
cnf(s2605,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_27 ),
inference(sat_conversion,[],[f49349]) ).
cnf(s2613,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| spl0_27 ),
inference(rat,[],[s501,s627]) ).
cnf(s2633,plain,
~ spl0_2,
inference(rat,[],[s2588,s142,s920,s2587,s917,s16,s669,s3,s4,s8,s25,s611,s19,s336]) ).
cnf(s2636,plain,
spl0_1,
inference(rat,[],[s1,s2633]) ).
cnf(s2637,plain,
~ spl0_3,
inference(rat,[],[s24,s2636]) ).
cnf(s2638,plain,
~ spl0_27,
inference(rat,[],[s2605,s2637,s2636]) ).
cnf(s2644,plain,
spl0_8,
inference(rat,[],[s8,s2637]) ).
cnf(s2645,plain,
spl0_6,
inference(rat,[],[s4,s2637]) ).
cnf(s2648,plain,
$false,
inference(rat,[],[s2613,s2644,s19,s2637,s2638,s2645]) ).
fof(f49351,plain,
$false,
inference(avatar_sat_refutation,[],[s2648]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC329-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.05/0.16 % Computer : n012.cluster.edu
% 0.05/0.16 % Model : x86_64 x86_64
% 0.05/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.16 % Memory : 8046.5625MB
% 0.05/0.16 % OS : Linux 6.8.0-71-generic
% 0.05/0.16 % CPULimit : 300
% 0.05/0.16 % WCLimit : 300
% 0.05/0.16 % DateTime : Mon Sep 28 09:06:04 UTC 2026
% 0.05/0.16 % CPUTime :
% 0.05/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.05/0.18 Running first-order model finding
% 0.05/0.18 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
% 7.41/1.36 % (3249808)Will run a generic schedule for satisfiability detection.
% 7.41/1.36 % (3249814)% WARNING: option uhcvi not known.
% 7.41/1.36 % (3249814)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1301952738:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.41/1.36 % (3249817)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1311768770:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.41/1.36 % (3249816)dis+10_1_sil=32000:sp=arity:random_seed=4209150452:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.41/1.36 % (3249813)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1074728019_2999 on theBenchmark for (2999ds/0Mi)
% 7.41/1.36 % (3249818)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2582827842:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.41/1.36 % (3249815)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=895854993:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.41/1.36 % (3249819)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=413440335:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.41/1.36 % TRYING [1]
% 7.41/1.36 % TRYING [2]
% 7.41/1.36 % TRYING [3]
% 7.41/1.36 % TRYING [4]
% 7.41/1.36 % (3249816)Instruction limit reached!
% 7.41/1.36 % (3249816)------------------------------
% 7.41/1.36 % (3249816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.41/1.36 % (3249816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.36 % (3249816)CaDiCaL version: 2.1.3
% 7.41/1.36 % (3249816)Termination reason: Instruction limit
% 7.41/1.36 % (3249816)Termination phase: Saturation
% 7.41/1.36 % (3249816)Time elapsed: 0.047 s
% 7.41/1.36 % (3249816)Peak memory usage: 13 MB
% 7.41/1.36 % (3249816)Instructions burned: 104 (million)
% 7.41/1.36 % (3249817)Instruction limit reached!
% 7.41/1.36 % (3249817)------------------------------
% 7.41/1.36 % (3249817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.41/1.36 % (3249817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.36 % (3249817)CaDiCaL version: 2.1.3
% 7.41/1.36 % (3249817)Termination reason: Instruction limit
% 7.41/1.36 % (3249817)Termination phase: Saturation
% 7.41/1.36 % (3249817)Time elapsed: 0.053 s
% 7.41/1.36 % (3249817)Peak memory usage: 13 MB
% 7.41/1.36 % (3249817)Instructions burned: 123 (million)
% 7.41/1.36 % (3249818)Instruction limit reached!
% 7.41/1.36 % (3249818)------------------------------
% 7.41/1.36 % (3249818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.41/1.36 % (3249818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.36 % (3249818)CaDiCaL version: 2.1.3
% 7.41/1.36 % (3249818)Termination reason: Instruction limit
% 7.41/1.36 % (3249818)Termination phase: Saturation
% 7.41/1.36 % (3249818)Time elapsed: 0.062 s
% 7.41/1.36 % (3249818)Peak memory usage: 14 MB
% 7.41/1.36 % (3249818)Instructions burned: 133 (million)
% 7.41/1.36 % (3249827)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=141159392:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.41/1.36 % TRYING [1]
% 7.41/1.36 % TRYING [2]
% 7.41/1.36 % (3249828)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=837874926:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 7.41/1.36 % TRYING [3]
% 7.41/1.36 % (3249819)Instruction limit reached!
% 7.41/1.36 % (3249819)------------------------------
% 7.41/1.36 % (3249819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.41/1.36 % (3249819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.36 % (3249819)CaDiCaL version: 2.1.3
% 7.41/1.36 % (3249819)Termination reason: Instruction limit
% 7.41/1.36 % (3249819)Termination phase: Saturation
% 7.41/1.36 % (3249819)Time elapsed: 0.086 s
% 7.41/1.36 % (3249819)Peak memory usage: 14 MB
% 7.41/1.36 % (3249819)Instructions burned: 159 (million)
% 7.41/1.36 % TRYING [4]
% 7.41/1.36 % (3249829)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=2047462318:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 7.41/1.36 % TRYING [5]
% 7.41/1.36 % (3249832)ott-21_1_sil=16000:fs=off:random_seed=344073504:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.41/1.36 % (3249828)Instruction limit reached!
% 7.41/1.36 % (3249828)------------------------------
% 7.41/1.36 % (3249828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.41/1.36 % (3249828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.36 % (3249828)CaDiCaL version: 2.1.3
% 7.41/1.36 % (3249828)Termination reason: Instruction limit
% 7.41/1.36 % (3249828)Termination phase: Saturation
% 7.41/1.36 % (3249828)Time elapsed: 0.057 s
% 7.41/1.36 % (3249828)Peak memory usage: 13 MB
% 7.41/1.36 % (3249828)Instructions burned: 131 (million)
% 7.41/1.36 % TRYING [5]
% 7.41/1.36 % (3249835)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=947657642:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.41/1.36 % (3249832)Instruction limit reached!
% 7.41/1.36 % (3249832)------------------------------
% 7.41/1.36 % (3249832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.41/1.36 % (3249832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.36 % (3249832)CaDiCaL version: 2.1.3
% 7.41/1.36 % (3249832)Termination reason: Instruction limit
% 7.41/1.36 % (3249832)Termination phase: Saturation
% 7.41/1.36 % (3249832)Time elapsed: 0.081 s
% 7.41/1.36 % (3249832)Peak memory usage: 13 MB
% 7.41/1.36 % (3249832)Instructions burned: 181 (million)
% 7.41/1.36 % (3249837)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3200296624:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.41/1.36 % TRYING [1]
% 7.41/1.36 % TRYING [2]
% 7.41/1.36 % TRYING [6]
% 7.41/1.36 % TRYING [3]
% 7.41/1.36 % TRYING [4]
% 7.41/1.36 % TRYING [6]
% 7.41/1.36 % (3249827)Instruction limit reached!
% 7.41/1.36 % (3249827)------------------------------
% 7.41/1.36 % (3249827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.41/1.36 % (3249827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.36 % (3249827)CaDiCaL version: 2.1.3
% 7.41/1.36 % (3249827)Termination reason: Instruction limit
% 7.41/1.36 % (3249827)Termination phase: Finite model building constraint generation
% 7.41/1.36 % (3249827)Time elapsed: 0.272 s
% 7.41/1.36 % (3249827)Peak memory usage: 36 MB
% 7.41/1.36 % (3249827)Instructions burned: 716 (million)
% 7.41/1.36 % (3249839)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1577803638:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 7.41/1.36 % (3249835)Instruction limit reached!
% 7.41/1.36 % (3249835)------------------------------
% 7.41/1.36 % (3249835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.41/1.36 % (3249835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.36 % (3249835)CaDiCaL version: 2.1.3
% 7.41/1.36 % (3249835)Termination reason: Instruction limit
% 7.41/1.36 % (3249835)Termination phase: Saturation
% 7.41/1.36 % (3249835)Time elapsed: 0.237 s
% 7.41/1.36 % (3249835)Peak memory usage: 14 MB
% 7.41/1.36 % (3249835)Instructions burned: 479 (million)
% 7.41/1.36 % TRYING [5]
% 7.41/1.36 % (3249841)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=247079610:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 7.41/1.36 % (3249829)Instruction limit reached!
% 7.41/1.36 % (3249829)------------------------------
% 7.41/1.36 % (3249829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.41/1.36 % (3249829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.36 % (3249829)CaDiCaL version: 2.1.3
% 7.41/1.36 % (3249829)Termination reason: Instruction limit
% 7.41/1.36 % (3249829)Termination phase: Saturation
% 7.41/1.36 % (3249829)Time elapsed: 0.368 s
% 7.41/1.36 % (3249829)Peak memory usage: 19 MB
% 7.41/1.36 % (3249829)Instructions burned: 684 (million)
% 7.41/1.36 % TRYING [14]
% 7.41/1.36 % (3249843)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=4048926303:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 7.41/1.36 % (3249837)Instruction limit reached!
% 7.41/1.36 % (3249837)------------------------------
% 7.41/1.36 % (3249837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.41/1.36 % (3249837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.36 % (3249837)CaDiCaL version: 2.1.3
% 7.41/1.36 % (3249837)Termination reason: Instruction limit
% 7.41/1.36 % (3249837)Termination phase: Finite model building SAT solving
% 7.41/1.36 % (3249837)Time elapsed: 0.322 s
% 7.41/1.36 % (3249837)Peak memory usage: 22 MB
% 7.41/1.36 % (3249837)Instructions burned: 866 (million)
% 7.41/1.36 % (3249845)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1530738424:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 7.41/1.36 % TRYING [7]
% 7.41/1.36 % (3249841)Instruction limit reached!
% 7.41/1.36 % (3249841)------------------------------
% 7.41/1.36 % (3249841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.41/1.36 % (3249841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.36 % (3249841)CaDiCaL version: 2.1.3
% 7.41/1.36 % (3249841)Termination reason: Instruction limit
% 7.41/1.36 % (3249841)Termination phase: Finite model building constraint generation
% 7.41/1.36 % (3249841)Time elapsed: 0.296 s
% 7.41/1.36 % (3249841)Peak memory usage: 73 MB
% 7.41/1.36 % (3249841)Instructions burned: 891 (million)
% 7.41/1.36 % (3249847)fmb+10_1_sil=64000:random_seed=1464614340:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 7.41/1.36 % TRYING [1]
% 7.41/1.36 % TRYING [2]
% 7.41/1.36 % TRYING [3]
% 7.41/1.36 % TRYING [4]
% 7.41/1.36 % (3249843)Instruction limit reached!
% 7.41/1.36 % (3249843)------------------------------
% 7.41/1.36 % (3249843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.41/1.36 % (3249843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.36 % (3249843)CaDiCaL version: 2.1.3
% 7.41/1.36 % (3249843)Termination reason: Instruction limit
% 7.41/1.36 % (3249843)Termination phase: Saturation
% 7.41/1.36 % (3249843)Time elapsed: 0.364 s
% 7.41/1.36 % (3249843)Peak memory usage: 19 MB
% 7.41/1.36 % (3249843)Instructions burned: 693 (million)
% 7.41/1.36 % (3249849)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3544838824:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 7.41/1.36 % TRYING [20]
% 7.41/1.36 % TRYING [5]
% 7.41/1.36 % (3249845)Instruction limit reached!
% 7.41/1.36 % (3249845)------------------------------
% 7.41/1.36 % (3249845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.41/1.36 % (3249845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.36 % (3249845)CaDiCaL version: 2.1.3
% 7.41/1.36 % (3249845)Termination reason: Instruction limit
% 7.41/1.36 % (3249845)Termination phase: Saturation
% 7.41/1.36 % (3249845)Time elapsed: 0.371 s
% 7.41/1.36 % (3249845)Peak memory usage: 20 MB
% 7.41/1.36 % (3249845)Instructions burned: 880 (million)
% 7.41/1.36 % (3249839)Instruction limit reached!
% 7.41/1.36 % (3249839)------------------------------
% 7.41/1.36 % (3249839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.41/1.36 % (3249839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.36 % (3249839)CaDiCaL version: 2.1.3
% 7.41/1.36 % (3249839)Termination reason: Instruction limit
% 7.41/1.36 % (3249839)Termination phase: Saturation
% 7.41/1.36 % (3249839)Time elapsed: 0.625 s
% 7.41/1.36 % (3249839)Peak memory usage: 29 MB
% 7.41/1.36 % (3249839)Instructions burned: 1181 (million)
% 7.41/1.36 % (3249851)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1262936671:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 7.41/1.36 % TRYING [8]
% 7.41/1.36 % (3249852)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3575760836:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 7.41/1.36 % (3249814) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3249808-3249814"...
% 7.41/1.36 % (3249814)...printing done.
% 7.41/1.36 % (3249814)Refutation found. Thanks to Tanya!
% 7.41/1.36 % SZS status Unsatisfiable for theBenchmark
% 7.41/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 7.41/1.36 % (3249814)------------------------------
% 7.41/1.36 % (3249814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.41/1.36 % (3249814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.36 % (3249814)CaDiCaL version: 2.1.3
% 7.41/1.36 % (3249814)Termination reason: Refutation
% 7.41/1.36 % (3249814)Time elapsed: 1.136 s
% 7.41/1.36 % (3249814)Peak memory usage: 35 MB
% 7.41/1.36 % (3249814)Instructions burned: 2247 (million)
% 7.41/1.36 % (3249808)Success in time 1.17 s
% 7.41/1.36 % Vampire exiting
%------------------------------------------------------------------------------