%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC072-1 : 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 : n006.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 01:04:32 PM UTC 2026
% Result : Unsatisfiable 7.89s 3.62s
% Output : Refutation 7.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 41
% Syntax : Number of formulae : 191 ( 24 unt; 16 def)
% Number of atoms : 654 ( 71 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 900 ( 437 ~; 447 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 17 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 106 ( 0 sgn 106 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause11) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause51) ).
fof(f61,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause61) ).
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] :
( ssItem(hd(X0))
| ~ ssList(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] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
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(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(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(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(f206,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( nil != sk2
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| sk3 = X0
| ~ ssList(X1)
| ~ ssList(X2)
| tl(sk4) != X1
| app(X1,X2) != X0
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk4) != X3
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f212,plain,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(definition_unfolding,[],[f206,f204,f205]) ).
fof(f213,plain,
( nil != sk4
| nil != sk3 ),
inference(definition_unfolding,[],[f208,f204,f205]) ).
fof(f221,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| singletonP(cons(X0,nil)) ),
inference(equality_resolution,[],[f119]) ).
fof(f228,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(f231,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(f238,plain,
! [X2,X3,X0] :
( ~ ssList(X0)
| sk3 = X0
| ~ ssList(tl(sk4))
| ~ ssList(X2)
| app(tl(sk4),X2) != X0
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk4) != X3
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f209]) ).
fof(f239,plain,
! [X2,X3] :
( ~ ssList(app(tl(sk4),X2))
| sk3 = app(tl(sk4),X2)
| ~ ssList(tl(sk4))
| ~ ssList(X2)
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk4) != X3
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f238]) ).
fof(f240,plain,
! [X3] :
( ~ ssList(app(tl(sk4),cons(X3,nil)))
| sk3 = app(tl(sk4),cons(X3,nil))
| ~ ssList(tl(sk4))
| ~ ssList(cons(X3,nil))
| ~ ssItem(X3)
| hd(sk4) != X3
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f239]) ).
fof(f241,plain,
( ~ ssList(app(tl(sk4),cons(hd(sk4),nil)))
| sk3 = app(tl(sk4),cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssItem(hd(sk4))
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f240]) ).
fof(f246,plain,
singletonP(nil),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f251,plain,
! [X0] :
( ~ frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(consistent_polarity_flipping,[],[f61]) ).
fof(f256,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ duplicatefreeP(X0)
| ssItem(X1) ),
inference(consistent_polarity_flipping,[],[f72]) ).
fof(f266,plain,
! [X0,X1] :
( ~ neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f102]) ).
fof(f276,plain,
! [X0] :
( ~ singletonP(cons(X0,nil))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f221]) ).
fof(f282,plain,
! [X0,X1] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X1,skaf45(X0,X1)) = X0 ),
inference(consistent_polarity_flipping,[],[f143]) ).
fof(f297,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,[],[f228]) ).
fof(f301,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,[],[f231]) ).
fof(f305,plain,
! [X0] :
( neq(X0,nil)
| ~ ssList(X0)
| segmentP(sk4,X0)
| segmentP(sk3,X0) ),
inference(consistent_polarity_flipping,[],[f212]) ).
fof(f306,plain,
( ~ ssList(app(tl(sk4),cons(hd(sk4),nil)))
| sk3 = app(tl(sk4),cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssItem(hd(sk4))
| neq(nil,sk4)
| neq(nil,sk4)
| neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f241]) ).
fof(f307,plain,
( ~ ssList(app(tl(sk4),cons(hd(sk4),nil)))
| sk3 = app(tl(sk4),cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssItem(hd(sk4))
| neq(nil,sk4)
| neq(sk4,nil) ),
inference(duplicate_literal_removal,[],[f306]) ).
fof(f315,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f317,plain,
( neq(sk4,nil)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f319,definition,
( spl0_2
<=> neq(nil,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f321,plain,
( neq(nil,sk4)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f323,definition,
( spl0_3
<=> ssItem(hd(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f324,plain,
( ssItem(hd(sk4))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f325,plain,
( ~ ssItem(hd(sk4))
| spl0_3 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f327,definition,
( spl0_4
<=> ssList(cons(hd(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f328,plain,
( ssList(cons(hd(sk4),nil))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f329,plain,
( ~ ssList(cons(hd(sk4),nil))
| spl0_4 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f331,definition,
( spl0_5
<=> ssList(tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f332,plain,
( ssList(tl(sk4))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f333,plain,
( ~ ssList(tl(sk4))
| spl0_5 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f335,definition,
( spl0_6
<=> sk3 = app(tl(sk4),cons(hd(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f337,plain,
( sk3 = app(tl(sk4),cons(hd(sk4),nil))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f339,definition,
( spl0_7
<=> ssList(app(tl(sk4),cons(hd(sk4),nil))) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f341,plain,
( ~ ssList(app(tl(sk4),cons(hd(sk4),nil)))
| spl0_7 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f342,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f307,f339,f335,f331,f327,f323,f319,f315]) ).
fof(f344,definition,
( spl0_8
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f348,definition,
( spl0_9
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f350,plain,
( nil != sk4
| spl0_9 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f351,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f213,f348,f344]) ).
fof(f352,plain,
( ~ spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f207,f344,f348]) ).
fof(f358,definition,
( spl0_11
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f359,plain,
( ssList(nil)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f386,definition,
( spl0_17
<=> ! [X1] : ssItem(X1) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f387,plain,
( ! [X1] : ssItem(X1)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f389,definition,
( spl0_18
<=> ! [X0] :
( ~ ssList(X0)
| ~ duplicatefreeP(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f390,plain,
( ! [X0] :
( ~ duplicatefreeP(X0)
| ~ ssList(X0) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f391,plain,
( spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f256,f389,f386]) ).
fof(f394,plain,
spl0_11,
inference(avatar_split_clause,[],[f8,f358]) ).
fof(f467,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_5 ),
inference(resolution,[],[f75,f333]) ).
fof(f470,plain,
( nil = sk4
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f467,f203]) ).
fof(f471,plain,
( $false
| spl0_5
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f470,f350]) ).
fof(f472,plain,
( spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f471]) ).
fof(f477,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_3 ),
inference(resolution,[],[f76,f325]) ).
fof(f478,plain,
( nil = sk4
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f477,f203]) ).
fof(f479,plain,
( $false
| spl0_3
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f478,f350]) ).
fof(f480,plain,
( spl0_3
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f479]) ).
fof(f499,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk4))
| spl0_4 ),
inference(resolution,[],[f86,f329]) ).
fof(f502,plain,
( ~ ssItem(hd(sk4))
| spl0_4
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f499,f359]) ).
fof(f503,plain,
( $false
| ~ spl0_3
| spl0_4
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f502,f324]) ).
fof(f504,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f503]) ).
fof(f505,plain,
( cons(hd(sk4),nil) = app(nil,cons(hd(sk4),nil))
| ~ spl0_4 ),
inference(resolution,[],[f328,f74]) ).
fof(f507,plain,
( ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| spl0_7 ),
inference(resolution,[],[f341,f85]) ).
fof(f508,plain,
( ~ ssList(cons(hd(sk4),nil))
| ~ spl0_5
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f507,f332]) ).
fof(f509,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f508,f328]) ).
fof(f510,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f509]) ).
fof(f613,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil = X0
| ~ ssList(X0)
| segmentP(sk4,X0)
| segmentP(sk3,X0) ),
inference(resolution,[],[f266,f305]) ).
fof(f618,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil = X0
| segmentP(sk4,X0)
| segmentP(sk3,X0) ),
inference(duplicate_literal_removal,[],[f613]) ).
fof(f619,plain,
( ! [X0] :
( segmentP(sk3,X0)
| nil = X0
| segmentP(sk4,X0)
| ~ ssList(X0) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f618,f359]) ).
fof(f694,plain,
( sk4 = cons(hd(sk4),tl(sk4))
| nil = sk4 ),
inference(resolution,[],[f107,f203]) ).
fof(f695,plain,
( sk4 = cons(hd(sk4),tl(sk4))
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f694,f350]) ).
fof(f719,definition,
( spl0_25
<=> nil = cons(hd(sk4),nil) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f720,plain,
( nil != cons(hd(sk4),nil)
| spl0_25 ),
inference(avatar_component_clause,[],[f719]) ).
fof(f721,plain,
( nil = cons(hd(sk4),nil)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f719]) ).
fof(f858,plain,
( ~ singletonP(nil)
| ~ ssList(nil)
| ~ ssItem(hd(sk4))
| ~ spl0_25 ),
inference(superposition,[],[f276,f721]) ).
fof(f870,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk4))
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f858,f246]) ).
fof(f878,plain,
( ~ ssItem(hd(sk4))
| ~ spl0_11
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f870,f359]) ).
fof(f882,plain,
( $false
| ~ spl0_3
| ~ spl0_11
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f878,f324]) ).
fof(f883,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f882]) ).
fof(f1149,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(X0)
| app(X0,skaf45(X0,X0)) = X0
| ~ ssList(X0) ),
inference(resolution,[],[f282,f251]) ).
fof(f1152,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,skaf45(X0,X0)) = X0 ),
inference(duplicate_literal_removal,[],[f1149]) ).
fof(f1344,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| ~ spl0_1 ),
inference(resolution,[],[f317,f266]) ).
fof(f1345,plain,
( ~ ssList(nil)
| nil = sk4
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f1344,f203]) ).
fof(f1346,plain,
( nil = sk4
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1345,f359]) ).
fof(f1347,plain,
( $false
| ~ spl0_1
| spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1346,f350]) ).
fof(f1348,plain,
( ~ spl0_1
| spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1347]) ).
fof(f1353,plain,
( ~ ssList(nil)
| ~ ssList(sk4)
| nil = sk4
| ~ spl0_2 ),
inference(resolution,[],[f321,f266]) ).
fof(f1354,plain,
( ~ ssList(sk4)
| nil = sk4
| ~ spl0_2
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1353,f359]) ).
fof(f1355,plain,
( nil = sk4
| ~ spl0_2
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1354,f203]) ).
fof(f1356,plain,
( $false
| ~ spl0_2
| spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1355,f350]) ).
fof(f1357,plain,
( ~ spl0_2
| spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1356]) ).
fof(f1746,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X2) ),
inference(resolution,[],[f297,f85]) ).
fof(f1763,plain,
( ! [X0] :
( ~ ssList(app(sk3,X0))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(X0)
| ~ segmentP(app(sk3,X0),cons(hd(sk4),nil)) )
| ~ spl0_6 ),
inference(superposition,[],[f297,f337]) ).
fof(f1768,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(app(X0,X1)) ),
inference(duplicate_literal_removal,[],[f1746]) ).
fof(f1772,plain,
( ! [X0] :
( ~ ssList(app(sk3,X0))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(X0)
| ~ segmentP(app(sk3,X0),cons(hd(sk4),nil)) )
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f1763,f332]) ).
fof(f1774,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(app(app(X0,X1),X2),X1) ),
inference(forward_subsumption_resolution,[],[f1768,f85]) ).
fof(f1778,plain,
( ! [X0] :
( ~ segmentP(app(sk3,X0),cons(hd(sk4),nil))
| ~ ssList(X0)
| ~ ssList(app(sk3,X0)) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f1772,f328]) ).
fof(f1794,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(X3) )
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f301,f390]) ).
fof(f1797,plain,
( ! [X0] :
( ~ ssList(app(sk3,cons(hd(sk4),X0)))
| ~ ssList(nil)
| ~ ssList(tl(sk4))
| ~ ssItem(hd(sk4))
| ~ ssList(X0) )
| ~ spl0_6
| ~ spl0_18 ),
inference(superposition,[],[f1794,f337]) ).
fof(f1799,plain,
( ! [X0] :
( ~ ssList(app(sk3,cons(hd(sk4),X0)))
| ~ ssList(tl(sk4))
| ~ ssItem(hd(sk4))
| ~ ssList(X0) )
| ~ spl0_6
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1797,f359]) ).
fof(f1802,plain,
( ! [X0] :
( ~ ssList(app(sk3,cons(hd(sk4),X0)))
| ~ ssItem(hd(sk4))
| ~ ssList(X0) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1799,f332]) ).
fof(f1811,plain,
( ! [X0] :
( ~ ssList(app(sk3,cons(hd(sk4),X0)))
| ~ ssList(X0) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1802,f324]) ).
fof(f1820,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| ssList(cons(X0,X1)) )
| ~ spl0_17 ),
inference(backward_subsumption_resolution,[],[f86,f387]) ).
fof(f1827,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) )
| ~ spl0_17 ),
inference(backward_subsumption_resolution,[],[f126,f387]) ).
fof(f3114,plain,
( ~ ssList(app(sk3,sk4))
| ~ ssList(tl(sk4))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| spl0_9
| ~ spl0_11
| ~ spl0_18 ),
inference(superposition,[],[f1811,f695]) ).
fof(f3115,plain,
( ~ ssList(app(sk3,sk4))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| spl0_9
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f3114,f332]) ).
fof(f3544,definition,
( spl0_131
<=> segmentP(sk3,cons(hd(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f3545,plain,
( ~ segmentP(sk3,cons(hd(sk4),nil))
| spl0_131 ),
inference(avatar_component_clause,[],[f3544]) ).
fof(f3683,definition,
( spl0_135
<=> segmentP(sk4,cons(hd(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
fof(f5297,definition,
( spl0_218
<=> ssList(app(sk3,sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_218])],[avatar_definition]) ).
fof(f5299,plain,
( ~ ssList(app(sk3,sk4))
| spl0_218 ),
inference(avatar_component_clause,[],[f5297]) ).
fof(f7035,plain,
( ~ spl0_218
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| spl0_9
| ~ spl0_11
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f3115,f389,f358,f348,f335,f331,f323,f5297]) ).
fof(f8416,plain,
( ~ ssList(sk3)
| ~ ssList(sk4)
| spl0_218 ),
inference(resolution,[],[f5299,f85]) ).
fof(f8417,plain,
( ~ ssList(sk4)
| spl0_218 ),
inference(forward_subsumption_resolution,[],[f8416,f202]) ).
fof(f8418,plain,
( $false
| spl0_218 ),
inference(forward_subsumption_resolution,[],[f8417,f203]) ).
fof(f8419,plain,
spl0_218,
inference(avatar_contradiction_clause,[],[f8418]) ).
fof(f9369,plain,
( ! [X0] : cons(X0,tl(sk4)) = app(cons(X0,nil),tl(sk4))
| ~ spl0_5
| ~ spl0_17 ),
inference(resolution,[],[f1827,f332]) ).
fof(f14497,plain,
sk3 = app(sk3,skaf45(sk3,sk3)),
inference(resolution,[],[f1152,f202]) ).
fof(f19749,plain,
( ! [X0,X1] :
( ~ segmentP(app(app(X1,X0),tl(sk4)),X0)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl0_5 ),
inference(resolution,[],[f1774,f332]) ).
fof(f56737,plain,
( ~ segmentP(sk3,cons(hd(sk4),nil))
| ~ ssList(skaf45(sk3,sk3))
| ~ ssList(sk3)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f1778,f14497]) ).
fof(f56757,plain,
( ~ segmentP(sk3,cons(hd(sk4),nil))
| ~ ssList(sk3)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f56737,f51]) ).
fof(f56763,plain,
( ~ segmentP(sk3,cons(hd(sk4),nil))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f56757,f202]) ).
fof(f109241,plain,
( ~ segmentP(app(cons(hd(sk4),nil),tl(sk4)),cons(hd(sk4),nil))
| ~ ssList(nil)
| ~ ssList(cons(hd(sk4),nil))
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f19749,f505]) ).
fof(f109285,plain,
( ~ segmentP(app(cons(hd(sk4),nil),tl(sk4)),cons(hd(sk4),nil))
| ~ ssList(nil)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f109241,f1820]) ).
fof(f109407,plain,
( ~ segmentP(app(cons(hd(sk4),nil),tl(sk4)),cons(hd(sk4),nil))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f109285,f359]) ).
fof(f116073,plain,
( ~ spl0_131
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f56763,f335,f331,f327,f3544]) ).
fof(f116554,plain,
( ~ segmentP(cons(hd(sk4),tl(sk4)),cons(hd(sk4),nil))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f109407,f9369]) ).
fof(f116673,plain,
( ~ segmentP(sk4,cons(hd(sk4),nil))
| ~ spl0_4
| ~ spl0_5
| spl0_9
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f116554,f695]) ).
fof(f116795,plain,
( ~ spl0_135
| ~ spl0_4
| ~ spl0_5
| spl0_9
| ~ spl0_11
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f116673,f386,f358,f348,f331,f327,f3683]) ).
fof(f118154,plain,
( nil = cons(hd(sk4),nil)
| segmentP(sk4,cons(hd(sk4),nil))
| ~ ssList(cons(hd(sk4),nil))
| ~ spl0_11
| spl0_131 ),
inference(resolution,[],[f3545,f619]) ).
fof(f118157,plain,
( segmentP(sk4,cons(hd(sk4),nil))
| ~ ssList(cons(hd(sk4),nil))
| ~ spl0_11
| spl0_25
| spl0_131 ),
inference(forward_subsumption_resolution,[],[f118154,f720]) ).
fof(f118159,plain,
( segmentP(sk4,cons(hd(sk4),nil))
| ~ spl0_4
| ~ spl0_11
| spl0_25
| spl0_131 ),
inference(forward_subsumption_resolution,[],[f118157,f328]) ).
fof(f118160,plain,
( spl0_135
| ~ spl0_4
| ~ spl0_11
| spl0_25
| spl0_131 ),
inference(avatar_split_clause,[],[f118159,f3544,f719,f358,f327,f3683]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f342]) ).
cnf(s2,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f351]) ).
cnf(s3,plain,
( spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f352]) ).
cnf(s10,plain,
( spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f391]) ).
cnf(s13,plain,
spl0_11,
inference(sat_conversion,[],[f394]) ).
cnf(s14,plain,
( spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f472]) ).
cnf(s16,plain,
( spl0_3
| spl0_9 ),
inference(sat_conversion,[],[f480]) ).
cnf(s17,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_11 ),
inference(sat_conversion,[],[f504]) ).
cnf(s18,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f510]) ).
cnf(s32,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_25 ),
inference(sat_conversion,[],[f883]) ).
cnf(s38,plain,
( ~ spl0_1
| spl0_9
| ~ spl0_11 ),
inference(sat_conversion,[],[f1348]) ).
cnf(s39,plain,
( ~ spl0_2
| spl0_9
| ~ spl0_11 ),
inference(sat_conversion,[],[f1357]) ).
cnf(s328,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_218 ),
inference(sat_conversion,[],[f7035]) ).
cnf(s353,plain,
spl0_218,
inference(sat_conversion,[],[f8419]) ).
cnf(s4033,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_131 ),
inference(sat_conversion,[],[f116073]) ).
cnf(s4138,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_9
| ~ spl0_11
| ~ spl0_17
| ~ spl0_135 ),
inference(sat_conversion,[],[f116795]) ).
cnf(s4187,plain,
( ~ spl0_4
| ~ spl0_11
| spl0_25
| spl0_131
| spl0_135 ),
inference(sat_conversion,[],[f118160]) ).
cnf(s4238,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| spl0_9
| ~ spl0_11
| ~ spl0_18 ),
inference(rat,[],[s328,s353]) ).
cnf(s4270,plain,
~ spl0_9,
inference(rat,[],[s2,s3]) ).
cnf(s4278,plain,
~ spl0_2,
inference(rat,[],[s39,s13,s4270]) ).
cnf(s4279,plain,
spl0_3,
inference(rat,[],[s16,s4270]) ).
cnf(s4280,plain,
spl0_5,
inference(rat,[],[s14,s4270]) ).
cnf(s4294,plain,
~ spl0_25,
inference(rat,[],[s32,s13,s4279]) ).
cnf(s4295,plain,
spl0_4,
inference(rat,[],[s17,s13,s4279]) ).
cnf(s4321,plain,
spl0_7,
inference(rat,[],[s18,s4280,s4295]) ).
cnf(s4337,plain,
~ spl0_6,
inference(rat,[],[s4138,s4187,s10,s4033,s4238,s4270,s13,s4280,s4295,s4294,s4279]) ).
cnf(s4338,plain,
~ spl0_1,
inference(rat,[],[s38,s13,s4270]) ).
cnf(s4339,plain,
$false,
inference(rat,[],[s1,s4321,s4279,s4280,s4278,s4338,s4337,s4295]) ).
fof(f118161,plain,
$false,
inference(avatar_sat_refutation,[],[s4339]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC072-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n006.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 07:43:10 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 Running first-order model finding
% 0.10/0.40 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
% 13.41/2.38 % (3805307)Will run a generic schedule for satisfiability detection.
% 13.41/2.38 % (3805316)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1269498907:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.41/2.38 % (3805312)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2662659674_2999 on theBenchmark for (2999ds/0Mi)
% 13.41/2.38 % (3805314)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4035962985:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.41/2.38 % (3805317)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3629501983:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.41/2.38 % (3805315)dis+10_1_sil=32000:sp=arity:random_seed=3923616733:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.41/2.38 % (3805318)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3734746942:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.41/2.38 % (3805313)% WARNING: option uhcvi not known.
% 13.41/2.38 % (3805313)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=792476922:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.41/2.38 % TRYING [1]
% 13.41/2.38 % TRYING [2]
% 13.41/2.38 % TRYING [3]
% 13.41/2.38 % (3805316)Instruction limit reached!
% 13.41/2.38 % (3805316)------------------------------
% 13.41/2.38 % (3805316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.41/2.38 % (3805316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.41/2.38 % (3805316)CaDiCaL version: 2.1.3
% 13.41/2.38 % (3805316)Termination reason: Instruction limit
% 13.41/2.38 % (3805316)Termination phase: Saturation
% 13.41/2.38 % (3805316)Time elapsed: 0.034 s
% 13.41/2.38 % (3805316)Peak memory usage: 13 MB
% 13.41/2.38 % (3805316)Instructions burned: 117 (million)
% 13.41/2.38 % TRYING [4]
% 13.41/2.38 % (3805326)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2484695840:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.41/2.38 % TRYING [1]
% 13.41/2.38 % TRYING [2]
% 13.41/2.38 % TRYING [3]
% 13.41/2.38 % TRYING [4]
% 13.41/2.38 % (3805315)Instruction limit reached!
% 13.41/2.38 % (3805315)------------------------------
% 13.41/2.38 % (3805315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.41/2.38 % (3805315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.41/2.38 % (3805315)CaDiCaL version: 2.1.3
% 13.41/2.38 % (3805315)Termination reason: Instruction limit
% 13.41/2.38 % (3805315)Termination phase: Saturation
% 13.41/2.38 % (3805315)Time elapsed: 0.061 s
% 13.41/2.38 % (3805315)Peak memory usage: 13 MB
% 13.41/2.38 % (3805315)Instructions burned: 104 (million)
% 13.41/2.38 % (3805317)Instruction limit reached!
% 13.41/2.38 % (3805317)------------------------------
% 13.41/2.38 % (3805317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.41/2.38 % (3805317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.41/2.38 % (3805317)CaDiCaL version: 2.1.3
% 13.41/2.38 % (3805317)Termination reason: Instruction limit
% 13.41/2.38 % (3805317)Termination phase: Saturation
% 13.41/2.38 % (3805317)Time elapsed: 0.067 s
% 13.41/2.38 % (3805317)Peak memory usage: 14 MB
% 13.41/2.38 % (3805317)Instructions burned: 131 (million)
% 13.41/2.38 % (3805328)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2674339298:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 13.41/2.38 % (3805329)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=122238412:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 13.41/2.38 % TRYING [5]
% 13.41/2.38 % (3805318)Instruction limit reached!
% 13.41/2.38 % (3805318)------------------------------
% 13.41/2.38 % (3805318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.41/2.38 % (3805318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.41/2.38 % (3805318)CaDiCaL version: 2.1.3
% 13.41/2.38 % (3805318)Termination reason: Instruction limit
% 13.41/2.38 % (3805318)Termination phase: Saturation
% 13.41/2.38 % (3805318)Time elapsed: 0.097 s
% 13.41/2.38 % (3805318)Peak memory usage: 14 MB
% 13.41/2.38 % (3805318)Instructions burned: 163 (million)
% 13.41/2.38 % TRYING [5]
% 13.41/2.38 % (3805332)ott-21_1_sil=16000:fs=off:random_seed=3355486418:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.41/2.38 % (3805328)Instruction limit reached!
% 13.41/2.38 % (3805328)------------------------------
% 13.41/2.38 % (3805328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.89/3.62 % (3805328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/3.62 % (3805328)CaDiCaL version: 2.1.3
% 7.89/3.62 % (3805328)Termination reason: Instruction limit
% 7.89/3.62 % (3805328)Termination phase: Saturation
% 7.89/3.62 % (3805328)Time elapsed: 0.072 s
% 7.89/3.62 % (3805328)Peak memory usage: 14 MB
% 7.89/3.62 % (3805328)Instructions burned: 132 (million)
% 7.89/3.62 % (3805334)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=678586199:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.89/3.62 % TRYING [6]
% 7.89/3.62 % (3805326)Instruction limit reached!
% 7.89/3.62 % (3805326)------------------------------
% 7.89/3.62 % (3805326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.89/3.62 % (3805326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/3.62 % (3805326)CaDiCaL version: 2.1.3
% 7.89/3.62 % (3805326)Termination reason: Instruction limit
% 7.89/3.62 % (3805326)Termination phase: Finite model building constraint generation
% 7.89/3.62 % (3805326)Time elapsed: 0.152 s
% 7.89/3.62 % (3805326)Peak memory usage: 36 MB
% 7.89/3.62 % (3805326)Instructions burned: 720 (million)
% 7.89/3.62 % (3805336)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4031206451:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.89/3.62 % TRYING [1]
% 7.89/3.62 % (3805332)Instruction limit reached!
% 7.89/3.62 % (3805332)------------------------------
% 7.89/3.62 % (3805332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.89/3.62 % TRYING [2]
% 7.89/3.62 % (3805332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/3.62 % (3805332)CaDiCaL version: 2.1.3
% 7.89/3.62 % (3805332)Termination reason: Instruction limit
% 7.89/3.62 % (3805332)Termination phase: Saturation
% 7.89/3.62 % (3805332)Time elapsed: 0.091 s
% 7.89/3.62 % (3805332)Peak memory usage: 13 MB
% 7.89/3.62 % (3805332)Instructions burned: 181 (million)
% 7.89/3.62 % TRYING [3]
% 7.89/3.62 % (3805338)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=802231917:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 7.89/3.62 % TRYING [4]
% 7.89/3.62 % TRYING [6]
% 7.89/3.62 % TRYING [5]
% 7.89/3.62 % (3805336)Instruction limit reached!
% 7.89/3.62 % (3805336)------------------------------
% 7.89/3.62 % (3805336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.89/3.62 % (3805336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/3.62 % (3805336)CaDiCaL version: 2.1.3
% 7.89/3.62 % (3805336)Termination reason: Instruction limit
% 7.89/3.62 % (3805336)Termination phase: Finite model building SAT solving
% 7.89/3.62 % (3805336)Time elapsed: 0.178 s
% 7.89/3.62 % (3805336)Peak memory usage: 23 MB
% 7.89/3.62 % (3805336)Instructions burned: 871 (million)
% 7.89/3.62 % (3805340)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1551728558:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 7.89/3.62 % TRYING [14]
% 7.89/3.62 % (3805334)Instruction limit reached!
% 7.89/3.62 % (3805334)------------------------------
% 7.89/3.62 % (3805334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.89/3.62 % (3805334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/3.62 % (3805334)CaDiCaL version: 2.1.3
% 7.89/3.62 % (3805334)Termination reason: Instruction limit
% 7.89/3.62 % (3805334)Termination phase: Saturation
% 7.89/3.62 % (3805334)Time elapsed: 0.302 s
% 7.89/3.62 % (3805334)Peak memory usage: 14 MB
% 7.89/3.62 % (3805334)Instructions burned: 477 (million)
% 7.89/3.62 % (3805342)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=2733965343: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)
% 7.89/3.62 % (3805329)Instruction limit reached!
% 7.89/3.62 % (3805329)------------------------------
% 7.89/3.62 % (3805329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.89/3.62 % (3805329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/3.62 % (3805329)CaDiCaL version: 2.1.3
% 7.89/3.62 % (3805329)Termination reason: Instruction limit
% 7.89/3.62 % (3805329)Termination phase: Saturation
% 7.89/3.62 % (3805329)Time elapsed: 0.426 s
% 7.89/3.62 % (3805329)Peak memory usage: 19 MB
% 7.89/3.62 % (3805329)Instructions burned: 684 (million)
% 7.89/3.62 % (3805344)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1205841540:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 7.89/3.62 % (3805340)Instruction limit reached!
% 7.89/3.62 % (3805340)------------------------------
% 7.89/3.62 % (3805340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.89/3.62 % (3805340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/3.62 % (3805340)CaDiCaL version: 2.1.3
% 7.89/3.62 % (3805340)Termination reason: Instruction limit
% 7.89/3.62 % (3805340)Termination phase: Finite model building constraint generation
% 7.89/3.62 % (3805340)Time elapsed: 0.178 s
% 7.89/3.62 % (3805340)Peak memory usage: 72 MB
% 7.89/3.62 % (3805340)Instructions burned: 890 (million)
% 7.89/3.62 % (3805346)fmb+10_1_sil=64000:random_seed=788030506:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 7.89/3.62 % TRYING [1]
% 7.89/3.62 % TRYING [2]
% 7.89/3.62 % TRYING [3]
% 7.89/3.62 % TRYING [4]
% 7.89/3.62 % TRYING [5]
% 7.89/3.62 % TRYING [7]
% 7.89/3.62 % (3805342)Instruction limit reached!
% 7.89/3.62 % (3805342)------------------------------
% 7.89/3.62 % (3805342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.89/3.62 % (3805342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/3.62 % (3805342)CaDiCaL version: 2.1.3
% 7.89/3.62 % (3805342)Termination reason: Instruction limit
% 7.89/3.62 % (3805342)Termination phase: Saturation
% 7.89/3.62 % (3805342)Time elapsed: 0.388 s
% 7.89/3.62 % (3805342)Peak memory usage: 21 MB
% 7.89/3.62 % (3805342)Instructions burned: 692 (million)
% 7.89/3.62 % (3805338)Instruction limit reached!
% 7.89/3.62 % (3805338)------------------------------
% 7.89/3.62 % (3805338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.89/3.62 % (3805338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/3.62 % (3805338)CaDiCaL version: 2.1.3
% 7.89/3.62 % (3805338)Termination reason: Instruction limit
% 7.89/3.62 % (3805338)Termination phase: Saturation
% 7.89/3.62 % (3805338)Time elapsed: 0.669 s
% 7.89/3.62 % (3805338)Peak memory usage: 24 MB
% 7.89/3.62 % (3805338)Instructions burned: 1180 (million)
% 7.89/3.62 % (3805348)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2661677560:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 7.89/3.62 % TRYING [20]
% 7.89/3.62 % TRYING [6]
% 7.89/3.62 % (3805349)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2375076343:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 7.89/3.62 % TRYING [8]
% 7.89/3.62 % (3805344)Instruction limit reached!
% 7.89/3.62 % (3805344)------------------------------
% 7.89/3.62 % (3805344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.89/3.62 % (3805344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/3.62 % (3805344)CaDiCaL version: 2.1.3
% 7.89/3.62 % (3805344)Termination reason: Instruction limit
% 7.89/3.62 % (3805344)Termination phase: Saturation
% 7.89/3.62 % (3805344)Time elapsed: 0.460 s
% 7.89/3.62 % (3805344)Peak memory usage: 21 MB
% 7.89/3.62 % (3805344)Instructions burned: 879 (million)
% 7.89/3.62 % (3805352)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=54022306:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 7.89/3.62 % (3805349)Instruction limit reached!
% 7.89/3.62 % (3805349)------------------------------
% 7.89/3.62 % (3805349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.89/3.62 % (3805349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/3.62 % (3805349)CaDiCaL version: 2.1.3
% 7.89/3.62 % (3805349)Termination reason: Instruction limit
% 7.89/3.62 % (3805349)Termination phase: Finite model building constraint generation
% 7.89/3.62 % (3805349)Time elapsed: 0.333 s
% 7.89/3.62 % (3805349)Peak memory usage: 79 MB
% 7.89/3.62 % (3805349)Instructions burned: 921 (million)
% 7.89/3.62 % (3805354)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2480766123:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 7.89/3.62 % TRYING [7]
% 7.89/3.62 % TRYING [8]
% 7.89/3.62 % (3805354)Instruction limit reached!
% 7.89/3.62 % (3805354)------------------------------
% 7.89/3.62 % (3805354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.89/3.62 % (3805354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/3.62 % (3805354)CaDiCaL version: 2.1.3
% 7.89/3.62 % (3805354)Termination reason: Instruction limit
% 7.89/3.62 % (3805354)Termination phase: Saturation
% 7.89/3.62 % (3805354)Time elapsed: 0.644 s
% 7.89/3.62 % (3805354)Peak memory usage: 15 MB
% 7.89/3.62 % (3805354)Instructions burned: 1473 (million)
% 7.89/3.62 % (3805356)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1870250935:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 7.89/3.62 % TRYING [77]
% 7.89/3.62 % TRYING [8]
% 7.89/3.62 % (3805313) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3805307-3805313"...
% 7.89/3.62 % (3805313)...printing done.
% 7.89/3.62 % (3805313)Refutation found. Thanks to Tanya!
% 7.89/3.62 % SZS status Unsatisfiable for theBenchmark
% 7.89/3.62 % SZS output start Proof for theBenchmark
% See solution above
% 7.89/3.63 % (3805313)------------------------------
% 7.89/3.63 % (3805313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.89/3.63 % (3805313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/3.63 % (3805313)CaDiCaL version: 2.1.3
% 7.89/3.63 % (3805313)Termination reason: Refutation
% 7.89/3.63 % (3805313)Time elapsed: 3.107 s
% 7.89/3.63 % (3805313)Peak memory usage: 62 MB
% 7.89/3.63 % (3805313)Instructions burned: 5717 (million)
% 7.89/3.63 % (3805307)Success in time 3.22 s
% 7.89/3.63 % Vampire exiting
%------------------------------------------------------------------------------