%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC199-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 01:02:54 PM UTC 2026
% Result : Unsatisfiable 12.82s 2.75s
% Output : Refutation 13.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 24
% Syntax : Number of formulae : 91 ( 10 unt; 0 def)
% Number of atoms : 525 ( 130 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 841 ( 407 ~; 434 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 9 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 222 ( 222 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f112,axiom,
! [X0] :
( cons(skaf83(X0),skaf82(X0)) = X0
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) = cons(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f126,plain,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f125]) ).
fof(f149,axiom,
! [X2,X0,X1] :
( X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| memberP(cons(X1,X2),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).
fof(f151,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).
fof(f161,axiom,
! [X2,X0,X1] :
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).
fof(f169,axiom,
! [X2,X0,X1] :
( cons(X0,app(X1,X2)) = app(cons(X0,X1),X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).
fof(f173,axiom,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| X2 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| X0 = X2 ),
inference(reorient_equations,[],[f173]) ).
fof(f182,axiom,
! [X0,X1] :
( app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
! [X0] :
( ssItem(sk5(X0))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X0] :
( ~ ssItem(X0)
| memberP(sk1,sk5(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
! [X0] :
( ~ ssItem(X0)
| X0 != sk5(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,plain,
! [X0] :
( sk5(X0) != X0
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f208]) ).
fof(f210,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| X0 = X1
| app(app(app(app(X2,cons(X0,nil)),X4),cons(X1,nil)),X3) != sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f211,plain,
! [X2,X3,X0,X1,X4] :
( sk3 != app(app(app(app(X2,cons(X0,nil)),X4),cons(X1,nil)),X3)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| X0 = X1
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f210]) ).
fof(f214,plain,
! [X0] :
( memberP(sk3,sk5(X0))
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f207,f205]) ).
fof(f224,plain,
! [X2,X1] :
( ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f149]) ).
fof(f241,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(duplicate_literal_removal,[],[f224]) ).
fof(f255,plain,
! [X2,X3,X0,X1,X4] :
( sk3 != app(app(app(X0,app(cons(X1,nil),X2)),cons(X3,nil)),X4)
| ~ ssItem(X3)
| ~ ssList(X0)
| ~ ssList(X4)
| ~ ssList(X2)
| X1 = X3
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil))
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(superposition,[],[f211,f161]) ).
fof(f262,plain,
! [X2,X3,X0,X1,X4] :
( sk3 != app(app(app(X0,app(cons(X1,nil),X2)),cons(X3,nil)),X4)
| ~ ssItem(X3)
| ~ ssList(X0)
| ~ ssList(X4)
| ~ ssList(X2)
| X1 = X3
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil)) ),
inference(duplicate_literal_removal,[],[f255]) ).
fof(f338,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssList(skaf82(X0))
| ~ ssItem(skaf83(X0))
| ~ ssItem(X1)
| memberP(skaf82(X0),X1)
| skaf83(X0) = X1
| ~ ssList(X0)
| nil = X0 ),
inference(superposition,[],[f174,f112]) ).
fof(f340,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(skaf83(X0))
| ~ ssItem(X1)
| memberP(skaf82(X0),X1)
| skaf83(X0) = X1
| ~ ssList(X0)
| nil = X0 ),
inference(forward_subsumption_resolution,[],[f338,f13]) ).
fof(f343,plain,
! [X0,X1] :
( memberP(skaf82(X0),X1)
| ~ ssItem(X1)
| ~ memberP(X0,X1)
| skaf83(X0) = X1
| ~ ssList(X0)
| nil = X0 ),
inference(forward_subsumption_resolution,[],[f340,f12]) ).
fof(f346,plain,
! [X2,X3,X0,X1,X4] :
( sk3 != app(app(app(X2,cons(X0,X1)),cons(X3,nil)),X4)
| ~ ssItem(X3)
| ~ ssList(X2)
| ~ ssList(X4)
| ~ ssList(X1)
| X0 = X3
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[],[f262,f126]) ).
fof(f357,plain,
! [X2,X3,X0,X1,X4] :
( sk3 != app(app(app(X2,cons(X0,X1)),cons(X3,nil)),X4)
| ~ ssItem(X3)
| ~ ssList(X2)
| ~ ssList(X4)
| ~ ssList(X1)
| X0 = X3
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(duplicate_literal_removal,[],[f346]) ).
fof(f370,plain,
! [X2,X3,X0,X1] :
( sk3 != app(app(X0,cons(X2,nil)),X3)
| ~ ssItem(X2)
| ~ ssList(skaf42(X0,X1))
| ~ ssList(X3)
| ~ ssList(skaf43(X1,X0))
| X1 = X2
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil))
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(superposition,[],[f357,f182]) ).
fof(f378,plain,
! [X2,X3,X0,X1] :
( sk3 != app(app(X0,cons(X2,nil)),X3)
| ~ ssItem(X2)
| ~ ssList(skaf42(X0,X1))
| ~ ssList(X3)
| ~ ssList(skaf43(X1,X0))
| X1 = X2
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil))
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(duplicate_literal_removal,[],[f370]) ).
fof(f383,plain,
! [X2,X3,X0,X1] :
( sk3 != app(app(X0,cons(X2,nil)),X3)
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(skaf43(X1,X0))
| X1 = X2
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil))
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(forward_subsumption_resolution,[],[f378,f53]) ).
fof(f388,plain,
! [X2,X3,X0,X1] :
( sk3 != app(app(X0,cons(X2,nil)),X3)
| ~ ssItem(X2)
| ~ ssList(X3)
| X1 = X2
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil))
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(forward_subsumption_resolution,[],[f383,f52]) ).
fof(f395,plain,
! [X2,X3,X0,X1] :
( sk3 != app(X0,app(cons(X1,nil),X2))
| ~ ssItem(X1)
| ~ ssList(X2)
| X1 = X3
| ~ ssItem(X3)
| ~ ssList(cons(X3,nil))
| ~ ssList(X0)
| ~ memberP(X0,X3)
| ~ ssList(cons(X1,nil))
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(superposition,[],[f388,f161]) ).
fof(f397,plain,
! [X2,X3,X0,X1] :
( sk3 != app(X0,app(cons(X1,nil),X2))
| ~ ssItem(X1)
| ~ ssList(X2)
| X1 = X3
| ~ ssItem(X3)
| ~ ssList(cons(X3,nil))
| ~ ssList(X0)
| ~ memberP(X0,X3)
| ~ ssList(cons(X1,nil)) ),
inference(duplicate_literal_removal,[],[f395]) ).
fof(f490,plain,
! [X2,X3,X0,X1] :
( sk3 != app(X2,cons(X0,app(nil,X1)))
| ~ ssItem(X0)
| ~ ssList(X1)
| X0 = X3
| ~ ssItem(X3)
| ~ ssList(cons(X3,nil))
| ~ ssList(X2)
| ~ memberP(X2,X3)
| ~ ssList(cons(X0,nil))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[],[f397,f169]) ).
fof(f517,plain,
! [X2,X3,X0,X1] :
( sk3 != app(X2,cons(X0,app(nil,X1)))
| ~ ssItem(X0)
| ~ ssList(X1)
| X0 = X3
| ~ ssItem(X3)
| ~ ssList(cons(X3,nil))
| ~ ssList(X2)
| ~ memberP(X2,X3)
| ~ ssList(cons(X0,nil))
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f490]) ).
fof(f537,plain,
! [X2,X3,X0,X1] :
( sk3 != app(X2,cons(X0,app(nil,X1)))
| ~ ssItem(X0)
| ~ ssList(X1)
| X0 = X3
| ~ ssItem(X3)
| ~ ssList(cons(X3,nil))
| ~ ssList(X2)
| ~ memberP(X2,X3)
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f517,f86]) ).
fof(f549,plain,
! [X2,X3,X0,X1] :
( sk3 != app(X2,cons(X0,app(nil,X1)))
| ~ ssItem(X0)
| ~ ssList(X1)
| X0 = X3
| ~ ssItem(X3)
| ~ ssList(X2)
| ~ memberP(X2,X3)
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f537,f86]) ).
fof(f552,plain,
! [X2,X3,X0,X1] :
( sk3 != app(X2,cons(X0,app(nil,X1)))
| ~ ssItem(X0)
| ~ ssList(X1)
| X0 = X3
| ~ ssItem(X3)
| ~ ssList(X2)
| ~ memberP(X2,X3) ),
inference(forward_subsumption_resolution,[],[f549,f8]) ).
fof(f553,plain,
! [X2,X3,X0,X1] :
( sk3 != app(X1,cons(X2,X0))
| ~ ssItem(X2)
| ~ ssList(X0)
| X2 = X3
| ~ ssItem(X3)
| ~ ssList(X1)
| ~ memberP(X1,X3)
| ~ ssList(X0) ),
inference(superposition,[],[f552,f74]) ).
fof(f560,plain,
! [X2,X3,X0,X1] :
( sk3 != app(X1,cons(X2,X0))
| ~ ssItem(X2)
| ~ ssList(X0)
| X2 = X3
| ~ ssItem(X3)
| ~ ssList(X1)
| ~ memberP(X1,X3) ),
inference(duplicate_literal_removal,[],[f553]) ).
fof(f569,plain,
! [X2,X3,X0,X1,X4] :
( sk3 != app(X0,app(X1,cons(X2,X3)))
| ~ ssItem(X2)
| ~ ssList(X3)
| X2 = X4
| ~ ssItem(X4)
| ~ ssList(app(X0,X1))
| ~ memberP(app(X0,X1),X4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(X2,X3)) ),
inference(superposition,[],[f560,f161]) ).
fof(f571,plain,
! [X2,X3,X0,X1,X4] :
( sk3 != app(X0,app(X1,cons(X2,X3)))
| ~ ssItem(X2)
| ~ ssList(X3)
| X2 = X4
| ~ ssItem(X4)
| ~ ssList(app(X0,X1))
| ~ memberP(app(X0,X1),X4)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f569,f86]) ).
fof(f577,plain,
! [X2,X3,X0,X1,X4] :
( sk3 != app(X0,app(X1,cons(X2,X3)))
| ~ ssItem(X2)
| ~ ssList(X3)
| X2 = X4
| ~ ssItem(X4)
| ~ memberP(app(X0,X1),X4)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f571,f85]) ).
fof(f736,plain,
! [X2,X3,X0,X1] :
( app(X1,X0) != sk3
| ~ ssItem(X2)
| ~ ssList(skaf43(X2,X0))
| X2 = X3
| ~ ssItem(X3)
| ~ memberP(app(X1,skaf42(X0,X2)),X3)
| ~ ssList(skaf42(X0,X2))
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X2) ),
inference(superposition,[],[f577,f182]) ).
fof(f744,plain,
! [X2,X3,X0,X1] :
( app(X1,X0) != sk3
| ~ ssItem(X2)
| ~ ssList(skaf43(X2,X0))
| X2 = X3
| ~ ssItem(X3)
| ~ memberP(app(X1,skaf42(X0,X2)),X3)
| ~ ssList(skaf42(X0,X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X0,X2) ),
inference(duplicate_literal_removal,[],[f736]) ).
fof(f751,plain,
! [X2,X3,X0,X1] :
( app(X1,X0) != sk3
| ~ ssItem(X2)
| X2 = X3
| ~ ssItem(X3)
| ~ memberP(app(X1,skaf42(X0,X2)),X3)
| ~ ssList(skaf42(X0,X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X0,X2) ),
inference(forward_subsumption_resolution,[],[f744,f52]) ).
fof(f755,plain,
! [X2,X3,X0,X1] :
( app(X1,X0) != sk3
| ~ ssItem(X2)
| X2 = X3
| ~ ssItem(X3)
| ~ memberP(app(X1,skaf42(X0,X2)),X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X0,X2) ),
inference(forward_subsumption_resolution,[],[f751,f53]) ).
fof(f760,plain,
! [X2,X3,X0,X1] :
( cons(X0,X1) != sk3
| ~ ssItem(X2)
| X2 = X3
| ~ ssItem(X3)
| ~ memberP(app(cons(X0,nil),skaf42(X1,X2)),X3)
| ~ ssList(cons(X0,nil))
| ~ ssList(X1)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[],[f755,f126]) ).
fof(f765,plain,
! [X2,X3,X0,X1] :
( cons(X0,X1) != sk3
| ~ ssItem(X2)
| X2 = X3
| ~ ssItem(X3)
| ~ memberP(app(cons(X0,nil),skaf42(X1,X2)),X3)
| ~ ssList(cons(X0,nil))
| ~ ssList(X1)
| ~ memberP(X1,X2)
| ~ ssItem(X0) ),
inference(duplicate_literal_removal,[],[f760]) ).
fof(f779,plain,
! [X2,X0,X1] :
( sk3 != X0
| ~ ssItem(X1)
| X1 = X2
| ~ ssItem(X2)
| ~ memberP(app(cons(skaf83(X0),nil),skaf42(skaf82(X0),X1)),X2)
| ~ ssList(cons(skaf83(X0),nil))
| ~ ssList(skaf82(X0))
| ~ memberP(skaf82(X0),X1)
| ~ ssItem(skaf83(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(superposition,[],[f765,f112]) ).
fof(f782,plain,
! [X2,X0,X1] :
( sk3 != X0
| ~ ssItem(X1)
| X1 = X2
| ~ ssItem(X2)
| ~ memberP(app(cons(skaf83(X0),nil),skaf42(skaf82(X0),X1)),X2)
| ~ ssList(cons(skaf83(X0),nil))
| ~ memberP(skaf82(X0),X1)
| ~ ssItem(skaf83(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(forward_subsumption_resolution,[],[f779,f13]) ).
fof(f784,plain,
! [X2,X0,X1] :
( sk3 != X0
| ~ ssItem(X1)
| X1 = X2
| ~ ssItem(X2)
| ~ memberP(app(cons(skaf83(X0),nil),skaf42(skaf82(X0),X1)),X2)
| ~ ssList(cons(skaf83(X0),nil))
| ~ memberP(skaf82(X0),X1)
| ~ ssList(X0)
| nil = X0 ),
inference(forward_subsumption_resolution,[],[f782,f12]) ).
fof(f785,plain,
! [X0,X1] :
( ~ ssItem(X0)
| X0 = X1
| ~ ssItem(X1)
| ~ memberP(app(cons(skaf83(sk3),nil),skaf42(skaf82(sk3),X0)),X1)
| ~ ssList(cons(skaf83(sk3),nil))
| ~ memberP(skaf82(sk3),X0)
| ~ ssList(sk3)
| nil = sk3 ),
inference(equality_resolution,[],[f784]) ).
fof(f786,plain,
! [X0,X1] :
( ~ memberP(app(cons(skaf83(sk3),nil),skaf42(skaf82(sk3),X0)),X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ ssList(cons(skaf83(sk3),nil))
| ~ memberP(skaf82(sk3),X0)
| nil = sk3 ),
inference(forward_subsumption_resolution,[],[f785,f202]) ).
fof(f788,plain,
! [X0,X1] :
( X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ ssList(cons(skaf83(sk3),nil))
| ~ memberP(skaf82(sk3),X0)
| nil = sk3
| ~ ssList(skaf42(skaf82(sk3),X0))
| ~ ssList(cons(skaf83(sk3),nil))
| ~ ssItem(X1)
| ~ memberP(cons(skaf83(sk3),nil),X1) ),
inference(resolution,[],[f786,f151]) ).
fof(f791,plain,
! [X0,X1] :
( X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ ssList(cons(skaf83(sk3),nil))
| ~ memberP(skaf82(sk3),X0)
| nil = sk3
| ~ ssList(skaf42(skaf82(sk3),X0))
| ~ memberP(cons(skaf83(sk3),nil),X1) ),
inference(duplicate_literal_removal,[],[f788]) ).
fof(f795,plain,
! [X0,X1] :
( ~ memberP(cons(skaf83(sk3),nil),X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ ssList(cons(skaf83(sk3),nil))
| ~ memberP(skaf82(sk3),X0)
| nil = sk3
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f791,f53]) ).
fof(f802,plain,
! [X0] :
( ~ ssItem(skaf83(sk3))
| ~ ssItem(X0)
| ~ ssList(cons(skaf83(sk3),nil))
| ~ memberP(skaf82(sk3),X0)
| nil = sk3
| skaf83(sk3) = X0
| ~ ssItem(skaf83(sk3))
| ~ ssList(nil) ),
inference(resolution,[],[f795,f241]) ).
fof(f803,plain,
! [X0] :
( ~ ssItem(skaf83(sk3))
| ~ ssItem(X0)
| ~ ssList(cons(skaf83(sk3),nil))
| ~ memberP(skaf82(sk3),X0)
| nil = sk3
| skaf83(sk3) = X0
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f802]) ).
fof(f805,plain,
! [X0] :
( ~ ssItem(skaf83(sk3))
| ~ ssItem(X0)
| ~ memberP(skaf82(sk3),X0)
| nil = sk3
| skaf83(sk3) = X0
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f803,f86]) ).
fof(f807,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(skaf82(sk3),X0)
| nil = sk3
| skaf83(sk3) = X0
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f805,f12]) ).
fof(f808,plain,
! [X0] :
( ~ memberP(skaf82(sk3),X0)
| ~ ssItem(X0)
| nil = sk3
| skaf83(sk3) = X0 ),
inference(forward_subsumption_resolution,[],[f807,f8]) ).
fof(f809,plain,
! [X0] :
( ~ ssItem(X0)
| nil = sk3
| skaf83(sk3) = X0
| ~ ssItem(X0)
| ~ memberP(sk3,X0)
| skaf83(sk3) = X0
| ~ ssList(sk3)
| nil = sk3 ),
inference(resolution,[],[f808,f343]) ).
fof(f810,plain,
! [X0] :
( ~ ssItem(X0)
| nil = sk3
| skaf83(sk3) = X0
| ~ memberP(sk3,X0)
| ~ ssList(sk3) ),
inference(duplicate_literal_removal,[],[f809]) ).
fof(f811,plain,
! [X0] :
( skaf83(sk3) = X0
| nil = sk3
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(forward_subsumption_resolution,[],[f810,f202]) ).
fof(f812,plain,
! [X0,X1] :
( X0 = X1
| nil = sk3
| ~ ssItem(X1)
| ~ memberP(sk3,X1)
| nil = sk3
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(superposition,[],[f811,f811]) ).
fof(f820,plain,
! [X0,X1] :
( ~ memberP(sk3,X1)
| nil = sk3
| ~ ssItem(X1)
| X0 = X1
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(duplicate_literal_removal,[],[f812]) ).
fof(f822,plain,
! [X0,X1] :
( nil = sk3
| ~ ssItem(sk5(X0))
| sk5(X0) = X1
| ~ ssItem(X1)
| ~ memberP(sk3,X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f820,f214]) ).
fof(f823,plain,
! [X0,X1] :
( sk5(X0) = X1
| nil = sk3
| ~ ssItem(X1)
| ~ memberP(sk3,X1)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f822,f206]) ).
fof(f825,plain,
! [X0,X1] :
( X0 != X1
| ~ ssItem(X1)
| nil = sk3
| ~ ssItem(X0)
| ~ memberP(sk3,X0)
| ~ ssItem(X1) ),
inference(superposition,[],[f209,f823]) ).
fof(f830,plain,
! [X0,X1] :
( X0 != X1
| ~ ssItem(X1)
| nil = sk3
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(duplicate_literal_removal,[],[f825]) ).
fof(f833,plain,
! [X0] :
( ~ ssItem(X0)
| nil = sk3
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(equality_resolution,[],[f830]) ).
fof(f834,plain,
! [X0] :
( ~ memberP(sk3,X0)
| nil = sk3
| ~ ssItem(X0) ),
inference(duplicate_literal_removal,[],[f833]) ).
fof(f835,plain,
! [X0] :
( nil = sk3
| ~ ssItem(sk5(X0))
| ~ ssItem(X0) ),
inference(resolution,[],[f834,f214]) ).
fof(f836,plain,
! [X0] :
( nil = sk3
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f835,f206]) ).
fof(f838,plain,
! [X0,X1] :
( memberP(nil,sk5(X0))
| ~ ssItem(X0)
| ~ ssItem(X1) ),
inference(superposition,[],[f214,f836]) ).
fof(f866,plain,
! [X0] :
( memberP(nil,sk5(X0))
| ~ ssItem(X0) ),
inference(condensation,[],[f838]) ).
fof(f867,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssItem(sk5(X0)) ),
inference(resolution,[],[f866,f71]) ).
fof(f871,plain,
! [X0] : ~ ssItem(X0),
inference(forward_subsumption_resolution,[],[f867,f206]) ).
fof(f875,plain,
$false,
inference(resolution,[],[f871,f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC199-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 08:28:17 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.36/2.37 % (2469632)Input is clausal, will run a generic CNF schedule.
% 10.36/2.37 % (2469640)lrs+10_1_sil=8000:sp=occurrence:random_seed=2496554522:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.36/2.37 % (2469640)Instruction limit reached!
% 10.36/2.37 % (2469640)------------------------------
% 10.36/2.37 % (2469640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.36/2.37 % (2469640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.36/2.37 % (2469640)CaDiCaL version: 2.1.3
% 10.36/2.37 % (2469640)Termination reason: Instruction limit
% 10.36/2.37 % (2469640)Termination phase: Saturation
% 10.36/2.37 % (2469640)Time elapsed: 0.035 s
% 10.36/2.37 % (2469640)Peak memory usage: 89 MB
% 10.36/2.37 % (2469640)Instructions burned: 111 (million)
% 10.36/2.37 % (2469643)dis-21_1_sil=8000:lcm=predicate:random_seed=33194275:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 10.36/2.37 % (2469639)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=440273473:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.36/2.37 % (2469638)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2902711579:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.36/2.37 % (2469637)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4016010420:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.36/2.37 % (2469641)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=141200260:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.36/2.37 % (2469642)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2693280361:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.36/2.37 % (2469641)Instruction limit reached!
% 10.36/2.37 % (2469641)------------------------------
% 10.36/2.37 % (2469641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.36/2.37 % (2469641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.36/2.37 % (2469641)CaDiCaL version: 2.1.3
% 10.36/2.37 % (2469641)Termination reason: Instruction limit
% 10.36/2.37 % (2469641)Termination phase: Saturation
% 10.36/2.37 % (2469641)Time elapsed: 0.056 s
% 10.36/2.37 % (2469641)Peak memory usage: 88 MB
% 10.36/2.37 % (2469641)Instructions burned: 115 (million)
% 10.36/2.37 % (2469643)Instruction limit reached!
% 10.36/2.37 % (2469643)------------------------------
% 10.36/2.37 % (2469643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.36/2.37 % (2469643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.36/2.37 % (2469643)CaDiCaL version: 2.1.3
% 10.36/2.37 % (2469643)Termination reason: Instruction limit
% 10.36/2.37 % (2469643)Termination phase: Saturation
% 10.36/2.37 % (2469643)Time elapsed: 0.066 s
% 10.36/2.37 % (2469643)Peak memory usage: 89 MB
% 10.36/2.37 % (2469643)Instructions burned: 117 (million)
% 10.36/2.37 % (2469645)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2035147339:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 10.36/2.37 % (2469642)Instruction limit reached!
% 10.36/2.37 % (2469642)------------------------------
% 10.36/2.37 % (2469642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.36/2.37 % (2469642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.36/2.37 % (2469642)CaDiCaL version: 2.1.3
% 10.36/2.37 % (2469642)Termination reason: Instruction limit
% 10.36/2.37 % (2469642)Termination phase: Saturation
% 10.36/2.37 % (2469642)Time elapsed: 0.119 s
% 10.36/2.37 % (2469642)Peak memory usage: 90 MB
% 10.36/2.37 % (2469642)Instructions burned: 180 (million)
% 10.36/2.37 % (2469645)Instruction limit reached!
% 10.36/2.37 % (2469645)------------------------------
% 10.36/2.37 % (2469645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.36/2.37 % (2469645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.36/2.37 % (2469645)CaDiCaL version: 2.1.3
% 10.36/2.37 % (2469645)Termination reason: Instruction limit
% 10.36/2.37 % (2469645)Termination phase: Saturation
% 10.36/2.37 % (2469645)Time elapsed: 0.047 s
% 10.36/2.37 % (2469645)Peak memory usage: 89 MB
% 10.36/2.37 % (2469645)Instructions burned: 146 (million)
% 10.36/2.37 % (2469652)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2207379957:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 12.82/2.75 % (2469653)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=721743981:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 12.82/2.75 % (2469656)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3730665388:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 12.82/2.75 % (2469655)lrs+10_64_to=lpo:sil=8000:random_seed=3914417276:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 12.82/2.75 % (2469652)Instruction limit reached!
% 12.82/2.75 % (2469652)------------------------------
% 12.82/2.75 % (2469652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.82/2.75 % (2469652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.82/2.75 % (2469652)CaDiCaL version: 2.1.3
% 12.82/2.75 % (2469652)Termination reason: Instruction limit
% 12.82/2.75 % (2469652)Termination phase: Saturation
% 12.82/2.75 % (2469652)Time elapsed: 0.097 s
% 12.82/2.75 % (2469652)Peak memory usage: 91 MB
% 12.82/2.75 % (2469652)Instructions burned: 191 (million)
% 12.82/2.75 % (2469656)Instruction limit reached!
% 12.82/2.75 % (2469656)------------------------------
% 12.82/2.75 % (2469656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.82/2.75 % (2469656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.82/2.75 % (2469656)CaDiCaL version: 2.1.3
% 12.82/2.75 % (2469656)Termination reason: Instruction limit
% 12.82/2.75 % (2469656)Termination phase: Saturation
% 12.82/2.75 % (2469656)Time elapsed: 0.065 s
% 12.82/2.75 % (2469656)Peak memory usage: 90 MB
% 12.82/2.75 % (2469656)Instructions burned: 198 (million)
% 12.82/2.75 % (2469655)Instruction limit reached!
% 12.82/2.75 % (2469655)------------------------------
% 12.82/2.75 % (2469655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.82/2.75 % (2469655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.82/2.75 % (2469655)CaDiCaL version: 2.1.3
% 12.82/2.75 % (2469655)Termination reason: Instruction limit
% 12.82/2.75 % (2469655)Termination phase: Saturation
% 12.82/2.75 % (2469655)Time elapsed: 0.067 s
% 12.82/2.75 % (2469655)Peak memory usage: 90 MB
% 12.82/2.75 % (2469655)Instructions burned: 128 (million)
% 12.82/2.75 % (2469653)Instruction limit reached!
% 12.82/2.75 % (2469653)------------------------------
% 12.82/2.75 % (2469653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.82/2.75 % (2469653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.82/2.75 % (2469653)CaDiCaL version: 2.1.3
% 12.82/2.75 % (2469653)Termination reason: Instruction limit
% 12.82/2.75 % (2469653)Termination phase: Saturation
% 12.82/2.75 % (2469653)Time elapsed: 0.128 s
% 12.82/2.75 % (2469653)Peak memory usage: 90 MB
% 12.82/2.75 % (2469653)Instructions burned: 219 (million)
% 12.82/2.75 % (2469662)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2920494594:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 12.82/2.75 % (2469661)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4166038058:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 12.82/2.75 % (2469663)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1812878202:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 12.82/2.75 % (2469664)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3749585162:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 12.82/2.75 % (2469661)Instruction limit reached!
% 12.82/2.75 % (2469661)------------------------------
% 12.82/2.75 % (2469661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.82/2.75 % (2469661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.82/2.75 % (2469661)CaDiCaL version: 2.1.3
% 12.82/2.75 % (2469661)Termination reason: Instruction limit
% 12.82/2.75 % (2469661)Termination phase: Saturation
% 12.82/2.75 % (2469661)Time elapsed: 0.094 s
% 12.82/2.75 % (2469661)Peak memory usage: 91 MB
% 12.82/2.75 % (2469661)Instructions burned: 157 (million)
% 12.82/2.75 % (2469663)Instruction limit reached!
% 12.82/2.75 % (2469663)------------------------------
% 12.82/2.75 % (2469663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.82/2.75 % (2469663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.82/2.75 % (2469663)CaDiCaL version: 2.1.3
% 12.82/2.75 % (2469663)Termination reason: Instruction limit
% 12.82/2.75 % (2469663)Termination phase: Saturation
% 12.82/2.75 % (2469663)Time elapsed: 0.054 s
% 12.82/2.75 % (2469663)Peak memory usage: 90 MB
% 12.82/2.75 % (2469663)Instructions burned: 107 (million)
% 12.82/2.75 % (2469664)Instruction limit reached!
% 12.82/2.75 % (2469664)------------------------------
% 12.82/2.75 % (2469664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.82/2.75 % (2469664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.82/2.75 % (2469664)CaDiCaL version: 2.1.3
% 12.82/2.75 % (2469664)Termination reason: Instruction limit
% 12.82/2.75 % (2469664)Termination phase: Saturation
% 12.82/2.75 % (2469664)Time elapsed: 0.067 s
% 12.82/2.75 % (2469664)Peak memory usage: 90 MB
% 12.82/2.75 % (2469664)Instructions burned: 108 (million)
% 12.82/2.75 % (2469669)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1899187985:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 12.82/2.75 % (2469670)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3892108175:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 12.82/2.75 % (2469671)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3114267603:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 12.82/2.75 % (2469671)Instruction limit reached!
% 12.82/2.75 % (2469671)------------------------------
% 12.82/2.75 % (2469671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.82/2.75 % (2469671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.82/2.75 % (2469671)CaDiCaL version: 2.1.3
% 12.82/2.75 % (2469671)Termination reason: Instruction limit
% 12.82/2.75 % (2469671)Termination phase: Saturation
% 12.82/2.75 % (2469671)Time elapsed: 0.080 s
% 12.82/2.75 % (2469671)Peak memory usage: 89 MB
% 12.82/2.75 % (2469671)Instructions burned: 134 (million)
% 12.82/2.75 % (2469669)Instruction limit reached!
% 12.82/2.75 % (2469669)------------------------------
% 12.82/2.75 % (2469669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.82/2.75 % (2469669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.82/2.75 % (2469669)CaDiCaL version: 2.1.3
% 12.82/2.75 % (2469669)Termination reason: Instruction limit
% 12.82/2.75 % (2469669)Termination phase: Saturation
% 12.82/2.75 % (2469669)Time elapsed: 0.146 s
% 12.82/2.75 % (2469669)Peak memory usage: 89 MB
% 12.82/2.75 % (2469669)Instructions burned: 243 (million)
% 12.82/2.75 % (2469675)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=4011587072:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 12.82/2.75 % (2469676)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=577125508:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 12.82/2.75 % (2469676)Instruction limit reached!
% 12.82/2.75 % (2469676)------------------------------
% 12.82/2.75 % (2469676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.82/2.75 % (2469676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.82/2.75 % (2469676)CaDiCaL version: 2.1.3
% 12.82/2.75 % (2469676)Termination reason: Instruction limit
% 12.82/2.75 % (2469676)Termination phase: Saturation
% 12.82/2.75 % (2469676)Time elapsed: 0.094 s
% 12.82/2.75 % (2469676)Peak memory usage: 92 MB
% 12.82/2.75 % (2469676)Instructions burned: 193 (million)
% 12.82/2.75 % (2469675)Instruction limit reached!
% 12.82/2.75 % (2469675)------------------------------
% 12.82/2.75 % (2469675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.82/2.75 % (2469675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.82/2.75 % (2469675)CaDiCaL version: 2.1.3
% 12.82/2.75 % (2469675)Termination reason: Instruction limit
% 12.82/2.75 % (2469675)Termination phase: Saturation
% 12.82/2.75 % (2469675)Time elapsed: 0.236 s
% 12.82/2.75 % (2469675)Peak memory usage: 95 MB
% 12.82/2.75 % (2469675)Instructions burned: 501 (million)
% 12.82/2.75 % (2469679)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2654594084:i=264:kws=precedence:fsr=off_2987 on theBenchmark for (2987ds/264Mi)
% 12.82/2.75 % (2469680)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1323412215:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 12.82/2.75 % (2469679)Instruction limit reached!
% 12.82/2.75 % (2469679)------------------------------
% 12.82/2.75 % (2469679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.82/2.75 % (2469679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.82/2.75 % (2469679)CaDiCaL version: 2.1.3
% 12.82/2.75 % (2469679)Termination reason: Instruction limit
% 12.82/2.75 % (2469679)Termination phase: Saturation
% 12.82/2.75 % (2469679)Time elapsed: 0.133 s
% 12.82/2.75 % (2469679)Peak memory usage: 92 MB
% 12.82/2.75 % (2469679)Instructions burned: 265 (million)
% 12.82/2.75 % (2469680)Instruction limit reached!
% 12.82/2.75 % (2469680)------------------------------
% 12.82/2.75 % (2469680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.82/2.75 % (2469680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.82/2.75 % (2469680)CaDiCaL version: 2.1.3
% 12.82/2.75 % (2469680)Termination reason: Instruction limit
% 12.82/2.75 % (2469680)Termination phase: Saturation
% 12.82/2.75 % (2469680)Time elapsed: 0.091 s
% 12.82/2.75 % (2469680)Peak memory usage: 90 MB
% 12.82/2.75 % (2469680)Instructions burned: 157 (million)
% 12.82/2.75 % (2469670)First to succeed.
% 12.82/2.75 % (2469670)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2469632"
% 12.82/2.75 % (2469683)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=3780193053:i=3256:kws=precedence:bd=preordered:av=off_2984 on theBenchmark for (2984ds/3256Mi)
% 12.82/2.75 % (2469662)Instruction limit reached!
% 12.82/2.75 % (2469662)------------------------------
% 12.82/2.75 % (2469662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.82/2.75 % (2469662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.82/2.75 % (2469662)CaDiCaL version: 2.1.3
% 12.82/2.75 % (2469662)Termination reason: Instruction limit
% 12.82/2.75 % (2469662)Termination phase: Saturation
% 12.82/2.75 % (2469662)Time elapsed: 1.124 s
% 12.82/2.75 % (2469662)Peak memory usage: 153 MB
% 12.82/2.75 % (2469662)Instructions burned: 3395 (million)
% 12.82/2.75 % (2469684)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=3526629614:i=537:av=off:ss=included_2983 on theBenchmark for (2983ds/537Mi)
% 12.82/2.75 % (2469686)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=3944278604:i=180:bd=preordered:av=off_2982 on theBenchmark for (2982ds/180Mi)
% 12.82/2.75 % (2469670)Refutation found. Thanks to Tanya!
% 12.82/2.75 % SZS status Unsatisfiable for theBenchmark
% 12.82/2.75 % SZS output start Proof for theBenchmark
% See solution above
% 13.91/2.96 % (2469670)------------------------------
% 13.91/2.96 % (2469670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.91/2.96 % (2469670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.91/2.96 % (2469670)CaDiCaL version: 2.1.3
% 13.91/2.96 % (2469670)Termination reason: Refutation
% 13.91/2.96 % (2469670)Time elapsed: 0.748 s
% 13.91/2.96 % (2469670)Peak memory usage: 130 MB
% 13.91/2.96 % (2469670)Instructions burned: 1150 (million)
% 13.91/2.96 % (2469670)------------------------------
% 13.91/2.96 % (2469670)------------------------------
% 13.91/2.96 % (2469632)Success in time 1.888 s
% 13.91/2.96 % Vampire exiting
%------------------------------------------------------------------------------