%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC377-1 : 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 : n011.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 01:05:47 PM UTC 2026
% Result : Unsatisfiable 9.50s 2.03s
% Output : Refutation 9.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 40
% Syntax : Number of formulae : 186 ( 20 unt; 10 def)
% Number of atoms : 622 ( 55 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 846 ( 410 ~; 426 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 11 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 96 ( 0 sgn 96 !; 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(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause71) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause72) ).
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(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause96) ).
fof(f98,axiom,
! [X0,X1] :
( cons(X0,X1) != nil
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause98) ).
fof(f99,plain,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(reorient_equations,[],[f98]) ).
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] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
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(f121,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause118) ).
fof(f122,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
inference(reorient_equations,[],[f121]) ).
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(f150,axiom,
! [X2,X0,X1] :
( memberP(cons(X2,X0),X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause139) ).
fof(f151,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause140) ).
fof(f152,axiom,
! [X2,X0,X1] :
( memberP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause141) ).
fof(f170,axiom,
! [X2,X0,X1] :
( ~ memberP(app(X0,X1),X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| memberP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause158) ).
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,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( memberP(sk2,sk5)
| memberP(sk1,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ~ memberP(sk2,sk5)
| ~ memberP(sk1,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( ssItem(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( ssList(sk7)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f212,negated_conjecture,
( app(cons(sk6,nil),sk7) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f213,plain,
( sk3 = app(cons(sk6,nil),sk7)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f212]) ).
fof(f214,negated_conjecture,
( app(sk7,cons(sk6,nil)) = sk4
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f215,plain,
( sk4 = app(sk7,cons(sk6,nil))
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f214]) ).
fof(f218,plain,
( memberP(sk4,sk5)
| memberP(sk3,sk5) ),
inference(definition_unfolding,[],[f207,f204,f205]) ).
fof(f219,plain,
( ~ memberP(sk4,sk5)
| ~ memberP(sk3,sk5) ),
inference(definition_unfolding,[],[f208,f204,f205]) ).
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(f251,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f252,plain,
( neq(sk4,nil)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f253,plain,
( ~ neq(sk4,nil)
| spl0_1 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f255,definition,
( spl0_2
<=> ssItem(sk6) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f257,plain,
( ssItem(sk6)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f258,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f210,f255,f251]) ).
fof(f260,definition,
( spl0_3
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f261,plain,
( nil = sk4
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f262,plain,
( nil != sk4
| spl0_3 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f264,definition,
( spl0_4
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f265,plain,
( nil != sk3
| spl0_4 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f266,plain,
( nil = sk3
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f267,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f209,f264,f260]) ).
fof(f269,definition,
( spl0_5
<=> memberP(sk3,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f270,plain,
( ~ memberP(sk3,sk5)
| spl0_5 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f271,plain,
( memberP(sk3,sk5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f273,definition,
( spl0_6
<=> memberP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f274,plain,
( ~ memberP(sk4,sk5)
| spl0_6 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f275,plain,
( memberP(sk4,sk5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f276,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f218,f273,f269]) ).
fof(f277,plain,
( ~ memberP(sk4,sk5)
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f219,f271]) ).
fof(f278,plain,
( ~ spl0_6
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f277,f269,f273]) ).
fof(f280,definition,
( spl0_7
<=> ! [X1] : ssItem(X1) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f281,plain,
( ! [X1] : ssItem(X1)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f283,definition,
( spl0_8
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f284,plain,
( ! [X0] :
( duplicatefreeP(X0)
| ~ ssList(X0) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f285,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f72,f283,f280]) ).
fof(f492,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl0_1 ),
inference(resolution,[],[f102,f253]) ).
fof(f497,plain,
( ~ ssList(nil)
| nil = sk4
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f492,f203]) ).
fof(f498,plain,
( nil = sk4
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f497,f8]) ).
fof(f499,plain,
( $false
| spl0_1
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f498,f262]) ).
fof(f500,plain,
( spl0_1
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f499]) ).
fof(f509,plain,
( memberP(nil,sk5)
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f271,f266]) ).
fof(f525,plain,
( nil = app(cons(sk6,nil),sk7)
| ~ neq(sk4,nil)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f213,f266]) ).
fof(f526,plain,
( ssList(sk7)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f211,f252]) ).
fof(f533,plain,
( ~ ssItem(sk5)
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f509,f71]) ).
fof(f534,plain,
( $false
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f533,f206]) ).
fof(f535,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f534]) ).
fof(f536,plain,
( ~ memberP(nil,sk5)
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f270,f266]) ).
fof(f540,plain,
( nil = app(cons(sk6,nil),sk7)
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f525,f252]) ).
fof(f641,plain,
( sk3 = cons(skaf83(sk3),skaf82(sk3))
| nil = sk3 ),
inference(resolution,[],[f112,f202]) ).
fof(f669,plain,
( nil != nil
| ~ ssList(sk7)
| ~ ssList(cons(sk6,nil))
| nil = cons(sk6,nil)
| ~ spl0_1
| ~ spl0_4 ),
inference(superposition,[],[f122,f540]) ).
fof(f670,plain,
( ~ ssList(sk7)
| ~ ssList(cons(sk6,nil))
| nil = cons(sk6,nil)
| ~ spl0_1
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f669]) ).
fof(f671,plain,
( ~ ssList(cons(sk6,nil))
| nil = cons(sk6,nil)
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f670,f526]) ).
fof(f677,definition,
( spl0_9
<=> nil = cons(sk6,nil) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f679,plain,
( nil = cons(sk6,nil)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f681,definition,
( spl0_10
<=> ssList(cons(sk6,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f682,plain,
( ssList(cons(sk6,nil))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f683,plain,
( ~ ssList(cons(sk6,nil))
| spl0_10 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f684,plain,
( spl0_9
| ~ spl0_10
| ~ spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f671,f264,f251,f681,f677]) ).
fof(f694,plain,
( ~ ssList(nil)
| ~ ssItem(sk6)
| spl0_10 ),
inference(resolution,[],[f86,f683]) ).
fof(f702,plain,
( ~ ssItem(sk6)
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f694,f8]) ).
fof(f703,plain,
( $false
| ~ spl0_2
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f702,f257]) ).
fof(f704,plain,
( ~ spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f703]) ).
fof(f722,plain,
( nil != nil
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ spl0_9 ),
inference(superposition,[],[f99,f679]) ).
fof(f724,plain,
( ~ ssItem(sk6)
| ~ ssList(nil)
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f722]) ).
fof(f725,plain,
( ~ ssList(nil)
| ~ spl0_2
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f724,f257]) ).
fof(f726,plain,
( $false
| ~ spl0_2
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f725,f8]) ).
fof(f727,plain,
( ~ spl0_2
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f726]) ).
fof(f733,plain,
( memberP(nil,sk5)
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f275,f261]) ).
fof(f736,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f733,f536]) ).
fof(f737,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f736]) ).
fof(f743,plain,
( sk3 = app(cons(sk6,nil),sk7)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f213,f252]) ).
fof(f749,plain,
( sk4 = app(sk7,cons(sk6,nil))
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f215,f252]) ).
fof(f858,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(sk6,X0)) = X0 )
| ~ spl0_2 ),
inference(resolution,[],[f96,f257]) ).
fof(f859,plain,
! [X0,X1] :
( ~ ssItem(X1)
| skaf82(X0) = tl(cons(X1,skaf82(X0))) ),
inference(resolution,[],[f96,f13]) ).
fof(f1025,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk6,X0) = app(cons(sk6,nil),X0) )
| ~ spl0_2 ),
inference(resolution,[],[f126,f257]) ).
fof(f1431,plain,
( ! [X0] :
( memberP(sk4,X0)
| ~ ssList(cons(sk6,nil))
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) )
| ~ spl0_1 ),
inference(superposition,[],[f151,f749]) ).
fof(f1434,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssList(sk7)
| ~ ssList(cons(sk6,nil))
| ~ ssItem(X0)
| ~ memberP(cons(sk6,nil),X0) )
| ~ spl0_1 ),
inference(superposition,[],[f151,f743]) ).
fof(f1437,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssList(cons(sk6,nil))
| ~ ssItem(X0)
| ~ memberP(cons(sk6,nil),X0) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f1434,f526]) ).
fof(f1438,plain,
( ! [X0] :
( memberP(sk4,X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) )
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f1431,f682]) ).
fof(f1439,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,nil),X0) )
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f1437,f682]) ).
fof(f1440,plain,
( ! [X0] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) )
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f1438,f526]) ).
fof(f1460,plain,
( ! [X0] :
( memberP(sk4,X0)
| ~ ssList(cons(sk6,nil))
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,nil),X0) )
| ~ spl0_1 ),
inference(superposition,[],[f152,f749]) ).
fof(f1467,plain,
( ! [X0] :
( memberP(sk4,X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,nil),X0) )
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f1460,f682]) ).
fof(f1469,plain,
( ! [X0] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,nil),X0) )
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f1467,f526]) ).
fof(f2144,plain,
( ! [X0] :
( ~ memberP(sk4,X0)
| ~ ssList(cons(sk6,nil))
| ~ ssList(sk7)
| ~ ssItem(X0)
| memberP(cons(sk6,nil),X0)
| memberP(sk7,X0) )
| ~ spl0_1 ),
inference(superposition,[],[f170,f749]) ).
fof(f2147,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssList(sk7)
| ~ ssList(cons(sk6,nil))
| ~ ssItem(X0)
| memberP(sk7,X0)
| memberP(cons(sk6,nil),X0) )
| ~ spl0_1 ),
inference(superposition,[],[f170,f743]) ).
fof(f2152,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssList(cons(sk6,nil))
| ~ ssItem(X0)
| memberP(sk7,X0)
| memberP(cons(sk6,nil),X0) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f2147,f526]) ).
fof(f2153,plain,
( ! [X0] :
( ~ memberP(sk4,X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| memberP(cons(sk6,nil),X0)
| memberP(sk7,X0) )
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f2144,f682]) ).
fof(f2154,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| memberP(sk7,X0)
| memberP(cons(sk6,nil),X0) )
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f2152,f682]) ).
fof(f2155,plain,
( ! [X0] :
( ~ memberP(sk4,X0)
| ~ ssItem(X0)
| memberP(cons(sk6,nil),X0)
| memberP(sk7,X0) )
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f2153,f526]) ).
fof(f2497,plain,
( sk7 = tl(cons(sk6,sk7))
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f858,f526]) ).
fof(f2580,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(X3) )
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f237,f284]) ).
fof(f2588,plain,
( ! [X0] :
( ~ ssList(app(sk4,cons(sk6,X0)))
| ~ ssList(nil)
| ~ ssList(sk7)
| ~ ssItem(sk6)
| ~ ssList(X0) )
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f2580,f749]) ).
fof(f2590,plain,
( ! [X0] :
( ~ ssList(app(sk4,cons(sk6,X0)))
| ~ ssList(sk7)
| ~ ssItem(sk6)
| ~ ssList(X0) )
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f2588,f8]) ).
fof(f2592,plain,
( ! [X0] :
( ~ ssList(app(sk4,cons(sk6,X0)))
| ~ ssItem(sk6)
| ~ ssList(X0) )
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f2590,f526]) ).
fof(f2593,plain,
( ! [X0] :
( ~ ssList(app(sk4,cons(sk6,X0)))
| ~ ssList(X0) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f2592,f257]) ).
fof(f2737,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(sk4)
| ~ ssList(cons(sk6,X0)) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(resolution,[],[f2593,f85]) ).
fof(f2738,plain,
( ! [X0] :
( ~ ssList(cons(sk6,X0))
| ~ ssList(X0) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f2737,f203]) ).
fof(f2739,plain,
( ~ ssList(nil)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10 ),
inference(resolution,[],[f2738,f682]) ).
fof(f2743,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f2739,f8]) ).
fof(f2744,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2743]) ).
fof(f3024,plain,
( sk3 = cons(skaf83(sk3),skaf82(sk3))
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f641,f265]) ).
fof(f3031,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssList(skaf82(sk3))
| ~ ssItem(skaf83(sk3))
| ~ ssItem(X0)
| ~ memberP(skaf82(sk3),X0) )
| spl0_4 ),
inference(superposition,[],[f150,f3024]) ).
fof(f3088,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssItem(skaf83(sk3))
| ~ ssItem(X0)
| ~ memberP(skaf82(sk3),X0) )
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f3031,f13]) ).
fof(f3119,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssItem(X0)
| ~ memberP(skaf82(sk3),X0) )
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f3088,f12]) ).
fof(f3144,plain,
( ! [X0] :
( ~ memberP(skaf82(sk3),X0)
| memberP(sk3,X0) )
| spl0_4
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f3119,f281]) ).
fof(f3429,plain,
( ! [X0] :
( ~ memberP(cons(sk6,nil),X0)
| memberP(sk3,X0) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f1439,f281]) ).
fof(f3440,plain,
( ! [X0] :
( ~ memberP(cons(sk6,nil),X0)
| memberP(sk4,X0) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f1469,f281]) ).
fof(f3522,plain,
( app(cons(sk6,nil),sk7) = cons(sk6,sk7)
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f1025,f526]) ).
fof(f3523,plain,
( sk3 = cons(sk6,sk7)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f3522,f743]) ).
fof(f3526,plain,
( sk7 = tl(sk3)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f2497,f3523]) ).
fof(f4042,plain,
( ! [X0] :
( memberP(cons(sk6,nil),X0)
| memberP(sk7,X0)
| ~ memberP(sk3,X0) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f2154,f281]) ).
fof(f4047,plain,
( ! [X0] :
( memberP(sk7,X0)
| ~ memberP(sk3,X0)
| memberP(sk4,X0) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10 ),
inference(resolution,[],[f4042,f3440]) ).
fof(f4058,plain,
( ! [X0] :
( memberP(cons(sk6,nil),X0)
| ~ memberP(sk4,X0)
| memberP(sk7,X0) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f2155,f281]) ).
fof(f4064,plain,
( ! [X0] :
( ~ memberP(sk4,X0)
| memberP(sk7,X0)
| memberP(sk3,X0) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10 ),
inference(resolution,[],[f4058,f3429]) ).
fof(f8966,plain,
( ! [X0,X1] : skaf82(X0) = tl(cons(X1,skaf82(X0)))
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f859,f281]) ).
fof(f8972,plain,
( tl(sk3) = skaf82(sk3)
| spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f8966,f3024]) ).
fof(f8978,plain,
( sk7 = skaf82(sk3)
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f8972,f3526]) ).
fof(f8982,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ memberP(sk7,X0) )
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f3144,f8978]) ).
fof(f27685,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ memberP(sk4,X0) )
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f4064,f8982]) ).
fof(f27781,plain,
( ~ memberP(sk4,sk5)
| ~ spl0_1
| ~ spl0_2
| spl0_4
| spl0_5
| ~ spl0_7
| ~ spl0_10 ),
inference(resolution,[],[f27685,f270]) ).
fof(f27784,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_4
| spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f27781,f275]) ).
fof(f27785,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4
| spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f27784]) ).
fof(f27791,plain,
( ~ ssItem(sk5)
| ~ memberP(sk7,sk5)
| ~ spl0_1
| spl0_6
| ~ spl0_10 ),
inference(resolution,[],[f274,f1440]) ).
fof(f27792,plain,
( ~ memberP(sk7,sk5)
| ~ spl0_1
| spl0_6
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f27791,f206]) ).
fof(f27859,plain,
( ~ memberP(sk3,sk5)
| memberP(sk4,sk5)
| ~ spl0_1
| spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(resolution,[],[f27792,f4047]) ).
fof(f27860,plain,
( memberP(sk4,sk5)
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f27859,f271]) ).
fof(f27861,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f27860,f274]) ).
fof(f27862,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f27861]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f258]) ).
cnf(s2,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f267]) ).
cnf(s3,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f276]) ).
cnf(s4,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f278]) ).
cnf(s5,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f285]) ).
cnf(s6,plain,
( spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f500]) ).
cnf(s8,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f535]) ).
cnf(s10,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f684]) ).
cnf(s12,plain,
( ~ spl0_2
| spl0_10 ),
inference(sat_conversion,[],[f704]) ).
cnf(s13,plain,
( ~ spl0_2
| ~ spl0_9 ),
inference(sat_conversion,[],[f727]) ).
cnf(s14,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f737]) ).
cnf(s15,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10 ),
inference(sat_conversion,[],[f2744]) ).
cnf(s36,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4
| spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(sat_conversion,[],[f27785]) ).
cnf(s37,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(sat_conversion,[],[f27862]) ).
cnf(s40,plain,
~ spl0_3,
inference(rat,[],[s14,s3,s8,s2]) ).
cnf(s42,plain,
spl0_1,
inference(rat,[],[s6,s40]) ).
cnf(s43,plain,
spl0_2,
inference(rat,[],[s1,s42]) ).
cnf(s44,plain,
~ spl0_9,
inference(rat,[],[s13,s43]) ).
cnf(s45,plain,
spl0_10,
inference(rat,[],[s12,s43]) ).
cnf(s46,plain,
~ spl0_4,
inference(rat,[],[s10,s42,s44,s45]) ).
cnf(s47,plain,
~ spl0_8,
inference(rat,[],[s15,s43,s42,s45]) ).
cnf(s48,plain,
spl0_7,
inference(rat,[],[s5,s47]) ).
cnf(s51,plain,
spl0_5,
inference(rat,[],[s36,s3,s42,s43,s48,s46,s45]) ).
cnf(s52,plain,
spl0_6,
inference(rat,[],[s37,s45,s48,s42,s51]) ).
cnf(s53,plain,
$false,
inference(rat,[],[s4,s52,s51]) ).
fof(f27863,plain,
$false,
inference(avatar_sat_refutation,[],[s53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC377-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n011.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 09:21:45 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.24 Running first-order model finding
% 0.10/0.24 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
% 9.50/2.03 % (3268714)Will run a generic schedule for satisfiability detection.
% 9.50/2.03 % (3268719)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1364780499_2999 on theBenchmark for (2999ds/0Mi)
% 9.50/2.03 % (3268720)% WARNING: option uhcvi not known.
% 9.50/2.03 % TRYING [1]
% 9.50/2.03 % TRYING [2]
% 9.50/2.03 % (3268721)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3533499260:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 9.50/2.03 % (3268720)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4218004498:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 9.50/2.03 % (3268722)dis+10_1_sil=32000:sp=arity:random_seed=953070447:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 9.50/2.03 % (3268723)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3116774978:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 9.50/2.03 % (3268724)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3716014195:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 9.50/2.03 % (3268725)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2961878518:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 9.50/2.03 % TRYING [3]
% 9.50/2.03 % TRYING [4]
% 9.50/2.03 % TRYING [5]
% 9.50/2.03 % (3268722)Instruction limit reached!
% 9.50/2.03 % (3268722)------------------------------
% 9.50/2.03 % (3268722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.50/2.03 % (3268722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/2.03 % (3268722)CaDiCaL version: 2.1.3
% 9.50/2.03 % (3268722)Termination reason: Instruction limit
% 9.50/2.03 % (3268722)Termination phase: Saturation
% 9.50/2.03 % (3268722)Time elapsed: 0.061 s
% 9.50/2.03 % (3268722)Peak memory usage: 13 MB
% 9.50/2.03 % (3268722)Instructions burned: 103 (million)
% 9.50/2.03 % (3268723)Instruction limit reached!
% 9.50/2.03 % (3268723)------------------------------
% 9.50/2.03 % (3268723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.50/2.03 % (3268723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/2.03 % (3268723)CaDiCaL version: 2.1.3
% 9.50/2.03 % (3268723)Termination reason: Instruction limit
% 9.50/2.03 % (3268723)Termination phase: Saturation
% 9.50/2.03 % (3268723)Time elapsed: 0.062 s
% 9.50/2.03 % (3268723)Peak memory usage: 13 MB
% 9.50/2.03 % (3268723)Instructions burned: 116 (million)
% 9.50/2.03 % (3268724)Instruction limit reached!
% 9.50/2.03 % (3268724)------------------------------
% 9.50/2.03 % (3268724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.50/2.03 % (3268724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/2.03 % (3268724)CaDiCaL version: 2.1.3
% 9.50/2.03 % (3268724)Termination reason: Instruction limit
% 9.50/2.03 % (3268724)Termination phase: Saturation
% 9.50/2.03 % (3268724)Time elapsed: 0.069 s
% 9.50/2.03 % (3268724)Peak memory usage: 14 MB
% 9.50/2.03 % (3268724)Instructions burned: 138 (million)
% 9.50/2.03 % (3268733)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3480618810:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 9.50/2.03 % (3268734)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1160089762:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 9.50/2.03 % (3268735)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=599821142:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 9.50/2.03 % (3268725)Instruction limit reached!
% 9.50/2.03 % (3268725)------------------------------
% 9.50/2.03 % (3268725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.50/2.03 % (3268725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/2.03 % (3268725)CaDiCaL version: 2.1.3
% 9.50/2.03 % (3268725)Termination reason: Instruction limit
% 9.50/2.03 % (3268725)Termination phase: Saturation
% 9.50/2.03 % (3268725)Time elapsed: 0.096 s
% 9.50/2.03 % (3268725)Peak memory usage: 14 MB
% 9.50/2.03 % (3268725)Instructions burned: 160 (million)
% 9.50/2.03 % TRYING [1]
% 9.50/2.03 % TRYING [2]
% 9.50/2.03 % TRYING [3]
% 9.50/2.03 % (3268739)ott-21_1_sil=16000:fs=off:random_seed=958803147:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 9.50/2.03 % TRYING [4]
% 9.50/2.03 % TRYING [6]
% 9.50/2.03 % (3268734)Instruction limit reached!
% 9.50/2.03 % (3268734)------------------------------
% 9.50/2.03 % (3268734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.50/2.03 % (3268734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/2.03 % (3268734)CaDiCaL version: 2.1.3
% 9.50/2.03 % (3268734)Termination reason: Instruction limit
% 9.50/2.03 % (3268734)Termination phase: Saturation
% 9.50/2.03 % (3268734)Time elapsed: 0.072 s
% 9.50/2.03 % (3268734)Peak memory usage: 13 MB
% 9.50/2.03 % (3268734)Instructions burned: 140 (million)
% 9.50/2.03 % (3268741)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2875652299:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 9.50/2.03 % TRYING [5]
% 9.50/2.03 % (3268739)Instruction limit reached!
% 9.50/2.03 % (3268739)------------------------------
% 9.50/2.03 % (3268739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.50/2.03 % (3268739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/2.03 % (3268739)CaDiCaL version: 2.1.3
% 9.50/2.03 % (3268739)Termination reason: Instruction limit
% 9.50/2.03 % (3268739)Termination phase: Saturation
% 9.50/2.03 % (3268739)Time elapsed: 0.090 s
% 9.50/2.03 % (3268739)Peak memory usage: 13 MB
% 9.50/2.03 % (3268739)Instructions burned: 180 (million)
% 9.50/2.03 % (3268743)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1844939991:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 9.50/2.03 % TRYING [1]
% 9.50/2.03 % TRYING [2]
% 9.50/2.03 % TRYING [3]
% 9.50/2.03 % TRYING [4]
% 9.50/2.03 % TRYING [6]
% 9.50/2.03 % (3268733)Instruction limit reached!
% 9.50/2.03 % (3268733)------------------------------
% 9.50/2.03 % (3268733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.50/2.03 % (3268733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/2.03 % (3268733)CaDiCaL version: 2.1.3
% 9.50/2.03 % (3268733)Termination reason: Instruction limit
% 9.50/2.03 % (3268733)Termination phase: Finite model building constraint generation
% 9.50/2.03 % (3268733)Time elapsed: 0.275 s
% 9.50/2.03 % (3268733)Peak memory usage: 34 MB
% 9.50/2.03 % (3268733)Instructions burned: 718 (million)
% 9.50/2.03 % (3268745)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1556622029:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 9.50/2.03 % TRYING [7]
% 9.50/2.03 % TRYING [5]
% 9.50/2.03 % (3268735)Instruction limit reached!
% 9.50/2.03 % (3268735)------------------------------
% 9.50/2.03 % (3268735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.50/2.03 % (3268735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/2.03 % (3268735)CaDiCaL version: 2.1.3
% 9.50/2.03 % (3268735)Termination reason: Instruction limit
% 9.50/2.03 % (3268735)Termination phase: Saturation
% 9.50/2.03 % (3268735)Time elapsed: 0.395 s
% 9.50/2.03 % (3268735)Peak memory usage: 20 MB
% 9.50/2.03 % (3268735)Instructions burned: 685 (million)
% 9.50/2.03 % (3268741)Instruction limit reached!
% 9.50/2.03 % (3268741)------------------------------
% 9.50/2.03 % (3268741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.50/2.03 % (3268741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/2.03 % (3268741)CaDiCaL version: 2.1.3
% 9.50/2.03 % (3268741)Termination reason: Instruction limit
% 9.50/2.03 % (3268741)Termination phase: Saturation
% 9.50/2.03 % (3268741)Time elapsed: 0.320 s
% 9.50/2.03 % (3268741)Peak memory usage: 14 MB
% 9.50/2.03 % (3268741)Instructions burned: 477 (million)
% 9.50/2.03 % (3268747)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4150027042:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 9.50/2.03 % (3268748)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=2074856697: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)
% 9.50/2.03 % (3268743)Instruction limit reached!
% 9.50/2.03 % (3268743)------------------------------
% 9.50/2.03 % (3268743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.50/2.03 % (3268743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/2.03 % (3268743)CaDiCaL version: 2.1.3
% 9.50/2.03 % (3268743)Termination reason: Instruction limit
% 9.50/2.03 % (3268743)Termination phase: Finite model building SAT solving
% 9.50/2.03 % (3268743)Time elapsed: 0.341 s
% 9.50/2.03 % (3268743)Peak memory usage: 22 MB
% 9.50/2.03 % (3268743)Instructions burned: 868 (million)
% 9.50/2.03 % (3268751)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3983818288:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 9.50/2.03 % TRYING [14]
% 9.50/2.03 % (3268747)Instruction limit reached!
% 9.50/2.03 % (3268747)------------------------------
% 9.50/2.03 % (3268747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.50/2.03 % (3268747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/2.03 % (3268747)CaDiCaL version: 2.1.3
% 9.50/2.03 % (3268747)Termination reason: Instruction limit
% 9.50/2.03 % (3268747)Termination phase: Finite model building constraint generation
% 9.50/2.03 % (3268747)Time elapsed: 0.325 s
% 9.50/2.03 % (3268747)Peak memory usage: 72 MB
% 9.50/2.03 % (3268747)Instructions burned: 890 (million)
% 9.50/2.03 % (3268753)fmb+10_1_sil=64000:random_seed=3960188432:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 9.50/2.03 % TRYING [1]
% 9.50/2.03 % TRYING [2]
% 9.50/2.03 % TRYING [3]
% 9.50/2.03 % (3268748)Instruction limit reached!
% 9.50/2.03 % (3268748)------------------------------
% 9.50/2.03 % (3268748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.50/2.03 % (3268748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/2.03 % (3268748)CaDiCaL version: 2.1.3
% 9.50/2.03 % (3268748)Termination reason: Instruction limit
% 9.50/2.03 % (3268748)Termination phase: Saturation
% 9.50/2.03 % (3268748)Time elapsed: 0.377 s
% 9.50/2.03 % (3268748)Peak memory usage: 19 MB
% 9.50/2.03 % (3268748)Instructions burned: 692 (million)
% 9.50/2.03 % (3268755)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=141614042:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 9.50/2.03 % TRYING [20]
% 9.50/2.03 % TRYING [4]
% 9.50/2.03 % (3268751)Instruction limit reached!
% 9.50/2.03 % (3268751)------------------------------
% 9.50/2.03 % (3268751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.50/2.03 % (3268751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/2.03 % (3268751)CaDiCaL version: 2.1.3
% 9.50/2.03 % (3268751)Termination reason: Instruction limit
% 9.50/2.03 % (3268751)Termination phase: Saturation
% 9.50/2.03 % (3268751)Time elapsed: 0.475 s
% 9.50/2.03 % (3268751)Peak memory usage: 20 MB
% 9.50/2.03 % (3268751)Instructions burned: 880 (million)
% 9.50/2.03 % (3268745)Instruction limit reached!
% 9.50/2.03 % (3268745)------------------------------
% 9.50/2.03 % (3268745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.50/2.03 % (3268745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/2.03 % (3268745)CaDiCaL version: 2.1.3
% 9.50/2.03 % (3268745)Termination reason: Instruction limit
% 9.50/2.03 % (3268745)Termination phase: Saturation
% 9.50/2.03 % (3268745)Time elapsed: 0.690 s
% 9.50/2.03 % (3268745)Peak memory usage: 26 MB
% 9.50/2.03 % (3268745)Instructions burned: 1180 (million)
% 9.50/2.03 % (3268757)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3012654216:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 9.50/2.03 % TRYING [8]
% 9.50/2.03 % TRYING [5]
% 9.50/2.03 % (3268758)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2109896773:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 9.50/2.03 % TRYING [8]
% 9.50/2.03 % (3268757)Instruction limit reached!
% 9.50/2.03 % (3268757)------------------------------
% 9.50/2.03 % (3268757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.50/2.03 % (3268757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/2.03 % (3268757)CaDiCaL version: 2.1.3
% 9.50/2.03 % (3268757)Termination reason: Instruction limit
% 9.50/2.03 % (3268757)Termination phase: Finite model building constraint generation
% 9.50/2.03 % (3268757)Time elapsed: 0.331 s
% 9.50/2.03 % (3268757)Peak memory usage: 79 MB
% 9.50/2.03 % (3268757)Instructions burned: 920 (million)
% 9.50/2.03 % (3268761)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=547954821:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 9.50/2.03 % TRYING [6]
% 9.50/2.03 % (3268758) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3268714-3268758"...
% 9.50/2.03 % (3268758)...printing done.
% 9.50/2.03 % (3268758)Refutation found. Thanks to Tanya!
% 9.50/2.03 % SZS status Unsatisfiable for theBenchmark
% 9.50/2.03 % SZS output start Proof for theBenchmark
% See solution above
% 9.50/2.03 % (3268758)------------------------------
% 9.50/2.03 % (3268758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.50/2.03 % (3268758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/2.03 % (3268758)CaDiCaL version: 2.1.3
% 9.50/2.03 % (3268758)Termination reason: Refutation
% 9.50/2.03 % (3268758)Time elapsed: 0.612 s
% 9.50/2.03 % (3268758)Peak memory usage: 23 MB
% 9.50/2.03 % (3268758)Instructions burned: 1172 (million)
% 9.50/2.03 % (3268714)Success in time 1.778 s
% 9.50/2.03 % Vampire exiting
%------------------------------------------------------------------------------