%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV570+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 12:58:21 PM UTC 2026
% Result : Theorem 3.71s 1.52s
% Output : Refutation 5.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 94 ( 23 unt; 6 def)
% Number of atoms : 228 ( 48 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 236 ( 102 ~; 112 |; 11 &)
% ( 10 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 80 ( 0 sgn 78 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X0)
=> mem(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subq_def) ).
fof(f4,axiom,
! [X0] : ~ mem(X0,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_ax) ).
fof(f5,axiom,
! [X0,X1] :
( mem(X0,s(X1))
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_ax) ).
fof(f6,axiom,
! [X0,X1,X2] :
( mem(X0,u(X1,X2))
<=> ( mem(X0,X1)
| mem(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_ax) ).
fof(f8,axiom,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_def) ).
fof(f9,axiom,
! [X0] : n(X0) = a(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_def) ).
fof(f26,conjecture,
~ subq(u(a(s(n(s(n(e)))),u(n(e),n(s(n(e))))),s(a(s(n(e)),n(n(e))))),a(s(u(n(e),n(s(n(e))))),a(s(n(e)),n(n(e))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nsubq_1216_1152) ).
fof(f27,negated_conjecture,
~ ~ subq(u(a(s(n(s(n(e)))),u(n(e),n(s(n(e))))),s(a(s(n(e)),n(n(e))))),a(s(u(n(e),n(s(n(e))))),a(s(n(e)),n(n(e))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
subq(u(a(s(n(s(n(e)))),u(n(e),n(s(n(e))))),s(a(s(n(e)),n(n(e))))),a(s(u(n(e),n(s(n(e))))),a(s(n(e)),n(n(e))))),
inference(flattening,[],[f27]) ).
fof(f31,plain,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X1)
| ~ mem(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f33,plain,
! [X0,X1] :
( ( subq(X0,X1)
| ? [X2] :
( ~ mem(X2,X1)
& mem(X2,X0) ) )
& ( ! [X2] :
( mem(X2,X1)
| ~ mem(X2,X0) )
| ~ subq(X0,X1) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f34,plain,
! [X0,X1] :
( ( subq(X0,X1)
| ? [X2] :
( ~ mem(X2,X1)
& mem(X2,X0) ) )
& ( ! [X3] :
( mem(X3,X1)
| ~ mem(X3,X0) )
| ~ subq(X0,X1) ) ),
inference(rectify,[],[f33]) ).
fof(f35,plain,
! [X0,X1] :
( ( subq(X0,X1)
| ( ~ mem(sK0(X0,X1),X1)
& mem(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( mem(X3,X1)
| ~ mem(X3,X0) )
| ~ subq(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ( mem(X0,s(X1))
| X0 != X1 )
& ( X0 = X1
| ~ mem(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( mem(X0,u(X1,X2))
| ( ~ mem(X0,X1)
& ~ mem(X0,X2) ) )
& ( mem(X0,X1)
| mem(X0,X2)
| ~ mem(X0,u(X1,X2)) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( mem(X0,u(X1,X2))
| ( ~ mem(X0,X1)
& ~ mem(X0,X2) ) )
& ( mem(X0,X1)
| mem(X0,X2)
| ~ mem(X0,u(X1,X2)) ) ),
inference(flattening,[],[f37]) ).
fof(f39,plain,
subq(u(a(s(n(s(n(e)))),u(n(e),n(s(n(e))))),s(a(s(n(e)),n(n(e))))),a(s(u(n(e),n(s(n(e))))),a(s(n(e)),n(n(e))))),
inference(cnf_transformation,[],[f28]) ).
fof(f40,plain,
! [X0] : ~ mem(X0,e),
inference(cnf_transformation,[],[f4]) ).
fof(f44,plain,
! [X3,X0,X1] :
( ~ subq(X0,X1)
| ~ mem(X3,X0)
| mem(X3,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f47,plain,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
inference(cnf_transformation,[],[f8]) ).
fof(f48,plain,
! [X0,X1] :
( ~ mem(X0,s(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f36]) ).
fof(f49,plain,
! [X0,X1] :
( mem(X0,s(X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f36]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ mem(X0,u(X1,X2))
| mem(X0,X2)
| mem(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f51,plain,
! [X2,X0,X1] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f52,plain,
! [X2,X0,X1] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f53,plain,
! [X0] : n(X0) = a(X0,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f54,plain,
! [X0] : n(X0) = u(X0,s(X0)),
inference(definition_unfolding,[],[f53,f47]) ).
fof(f55,plain,
subq(u(u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e))))))))),
inference(definition_unfolding,[],[f39,f47,f54,f54,f54,f54,f54,f47,f54,f54,f54,f47,f54,f54,f54,f47,f54,f54,f54]) ).
fof(f56,plain,
! [X1] : mem(X1,s(X1)),
inference(equality_resolution,[],[f49]) ).
fof(f74,plain,
! [X0] :
( mem(X0,u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ~ mem(X0,u(u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ),
inference(resolution,[],[f44,f55]) ).
fof(f81,plain,
! [X0] :
( mem(X0,s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))))
| mem(X0,s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ~ mem(X0,u(u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ),
inference(resolution,[],[f74,f50]) ).
fof(f85,plain,
! [X0] :
( mem(X0,s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ~ mem(X0,u(u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))) = X0 ),
inference(resolution,[],[f81,f48]) ).
fof(f93,plain,
! [X0] :
( ~ mem(X0,u(u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))) = X0
| u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0 ),
inference(resolution,[],[f85,f48]) ).
fof(f100,plain,
! [X0] :
( ~ mem(X0,u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))))))
| u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))) = X0 ),
inference(resolution,[],[f93,f52]) ).
fof(f108,plain,
! [X0] :
( ~ mem(X0,s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))
| u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))) = X0
| u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0 ),
inference(resolution,[],[f100,f52]) ).
fof(f121,plain,
( u(s(u(e,s(e))),s(s(u(e,s(e))))) = u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))
| u(s(u(e,s(e))),s(s(u(e,s(e))))) = u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))) ),
inference(resolution,[],[f108,f56]) ).
fof(f124,definition,
( spl1_5
<=> u(s(u(e,s(e))),s(s(u(e,s(e))))) = u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f126,plain,
( u(s(u(e,s(e))),s(s(u(e,s(e))))) = u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e))))))
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f128,definition,
( spl1_6
<=> u(s(u(e,s(e))),s(s(u(e,s(e))))) = u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
fof(f130,plain,
( u(s(u(e,s(e))),s(s(u(e,s(e))))) = u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f131,plain,
( spl1_5
| spl1_6 ),
inference(avatar_split_clause,[],[f121,f128,f124]) ).
fof(f148,plain,
( ! [X0] :
( mem(X0,u(s(u(e,s(e))),s(s(u(e,s(e))))))
| ~ mem(X0,s(u(u(e,s(e)),s(u(e,s(e)))))) )
| ~ spl1_5 ),
inference(superposition,[],[f51,f126]) ).
fof(f158,plain,
( ! [X0] :
( mem(X0,s(u(e,s(e))))
| mem(X0,s(s(u(e,s(e)))))
| ~ mem(X0,s(u(u(e,s(e)),s(u(e,s(e)))))) )
| ~ spl1_5 ),
inference(resolution,[],[f148,f50]) ).
fof(f166,plain,
( ! [X0] :
( mem(X0,s(s(u(e,s(e)))))
| ~ mem(X0,s(u(u(e,s(e)),s(u(e,s(e))))))
| u(e,s(e)) = X0 )
| ~ spl1_5 ),
inference(resolution,[],[f158,f48]) ).
fof(f175,plain,
( ! [X0] :
( ~ mem(X0,s(u(u(e,s(e)),s(u(e,s(e))))))
| u(e,s(e)) = X0
| s(u(e,s(e))) = X0 )
| ~ spl1_5 ),
inference(resolution,[],[f166,f48]) ).
fof(f181,plain,
( u(e,s(e)) = u(u(e,s(e)),s(u(e,s(e))))
| s(u(e,s(e))) = u(u(e,s(e)),s(u(e,s(e))))
| ~ spl1_5 ),
inference(resolution,[],[f175,f56]) ).
fof(f184,definition,
( spl1_7
<=> s(u(e,s(e))) = u(u(e,s(e)),s(u(e,s(e)))) ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
fof(f186,plain,
( s(u(e,s(e))) = u(u(e,s(e)),s(u(e,s(e))))
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f188,definition,
( spl1_8
<=> u(e,s(e)) = u(u(e,s(e)),s(u(e,s(e)))) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
fof(f190,plain,
( u(e,s(e)) = u(u(e,s(e)),s(u(e,s(e))))
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f191,plain,
( spl1_7
| spl1_8
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f181,f124,f188,f184]) ).
fof(f216,plain,
( ! [X0] :
( mem(X0,u(s(u(e,s(e))),s(s(u(e,s(e))))))
| ~ mem(X0,u(e,s(e))) )
| ~ spl1_6 ),
inference(superposition,[],[f52,f130]) ).
fof(f225,plain,
( ! [X0] :
( mem(X0,s(u(e,s(e))))
| mem(X0,s(s(u(e,s(e)))))
| ~ mem(X0,u(e,s(e))) )
| ~ spl1_6 ),
inference(resolution,[],[f216,f50]) ).
fof(f231,plain,
( ! [X0] :
( mem(X0,s(s(u(e,s(e)))))
| ~ mem(X0,u(e,s(e)))
| u(e,s(e)) = X0 )
| ~ spl1_6 ),
inference(resolution,[],[f225,f48]) ).
fof(f234,plain,
( ! [X0] :
( ~ mem(X0,u(e,s(e)))
| u(e,s(e)) = X0
| s(u(e,s(e))) = X0 )
| ~ spl1_6 ),
inference(resolution,[],[f231,f48]) ).
fof(f240,plain,
( ! [X0] :
( ~ mem(X0,s(e))
| s(u(e,s(e))) = X0
| u(e,s(e)) = X0 )
| ~ spl1_6 ),
inference(resolution,[],[f234,f51]) ).
fof(f247,plain,
( e = s(u(e,s(e)))
| e = u(e,s(e))
| ~ spl1_6 ),
inference(resolution,[],[f240,f56]) ).
fof(f250,definition,
( spl1_9
<=> e = u(e,s(e)) ),
introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).
fof(f252,plain,
( e = u(e,s(e))
| ~ spl1_9 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f254,definition,
( spl1_10
<=> e = s(u(e,s(e))) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
fof(f256,plain,
( e = s(u(e,s(e)))
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f277,plain,
( ! [X0] :
( mem(X0,s(u(e,s(e))))
| ~ mem(X0,u(e,s(e))) )
| ~ spl1_7 ),
inference(superposition,[],[f52,f186]) ).
fof(f291,plain,
( ! [X0] :
( ~ mem(X0,u(e,s(e)))
| u(e,s(e)) = X0 )
| ~ spl1_7 ),
inference(resolution,[],[f277,f48]) ).
fof(f298,plain,
( ! [X0] :
( ~ mem(X0,s(e))
| u(e,s(e)) = X0 )
| ~ spl1_7 ),
inference(resolution,[],[f291,f51]) ).
fof(f301,plain,
( e = u(e,s(e))
| ~ spl1_7 ),
inference(resolution,[],[f298,f56]) ).
fof(f303,plain,
( spl1_9
| ~ spl1_7 ),
inference(avatar_split_clause,[],[f301,f184,f250]) ).
fof(f315,plain,
( ! [X0] :
( mem(X0,u(e,s(e)))
| ~ mem(X0,s(u(e,s(e)))) )
| ~ spl1_8 ),
inference(superposition,[],[f51,f190]) ).
fof(f320,plain,
( ! [X0] :
( ~ mem(X0,s(u(e,s(e))))
| mem(X0,s(e))
| mem(X0,e) )
| ~ spl1_8 ),
inference(resolution,[],[f315,f50]) ).
fof(f322,plain,
( ! [X0] :
( mem(X0,s(e))
| ~ mem(X0,s(u(e,s(e)))) )
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f320,f40]) ).
fof(f328,plain,
( ! [X0] :
( ~ mem(X0,s(u(e,s(e))))
| e = X0 )
| ~ spl1_8 ),
inference(resolution,[],[f322,f48]) ).
fof(f336,plain,
( e = u(e,s(e))
| ~ spl1_8 ),
inference(resolution,[],[f328,f56]) ).
fof(f338,plain,
( spl1_9
| ~ spl1_8 ),
inference(avatar_split_clause,[],[f336,f188,f250]) ).
fof(f406,plain,
( ! [X0] :
( mem(X0,e)
| ~ mem(X0,s(e)) )
| ~ spl1_9 ),
inference(superposition,[],[f51,f252]) ).
fof(f407,plain,
( ! [X0] : ~ mem(X0,s(e))
| ~ spl1_9 ),
inference(forward_subsumption_resolution,[],[f406,f40]) ).
fof(f440,plain,
( $false
| ~ spl1_9 ),
inference(resolution,[],[f407,f56]) ).
fof(f443,plain,
~ spl1_9,
inference(avatar_contradiction_clause,[],[f440]) ).
fof(f447,plain,
( spl1_9
| spl1_10
| ~ spl1_6 ),
inference(avatar_split_clause,[],[f247,f128,f254,f250]) ).
fof(f524,plain,
( mem(u(e,s(e)),e)
| ~ spl1_10 ),
inference(superposition,[],[f56,f256]) ).
fof(f525,plain,
( $false
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f524,f40]) ).
fof(f526,plain,
~ spl1_10,
inference(avatar_contradiction_clause,[],[f525]) ).
cnf(s3,plain,
( spl1_5
| spl1_6 ),
inference(sat_conversion,[],[f131]) ).
cnf(s5,plain,
( ~ spl1_5
| spl1_7
| spl1_8 ),
inference(sat_conversion,[],[f191]) ).
cnf(s7,plain,
( ~ spl1_7
| spl1_9 ),
inference(sat_conversion,[],[f303]) ).
cnf(s8,plain,
( ~ spl1_8
| spl1_9 ),
inference(sat_conversion,[],[f338]) ).
cnf(s11,plain,
~ spl1_9,
inference(sat_conversion,[],[f443]) ).
cnf(s12,plain,
( ~ spl1_6
| spl1_9
| spl1_10 ),
inference(sat_conversion,[],[f447]) ).
cnf(s13,plain,
~ spl1_10,
inference(sat_conversion,[],[f526]) ).
cnf(s14,plain,
( ~ spl1_6
| spl1_9 ),
inference(rat,[],[s12,s13]) ).
cnf(s15,plain,
~ spl1_6,
inference(rat,[],[s14,s11]) ).
cnf(s16,plain,
~ spl1_8,
inference(rat,[],[s8,s11]) ).
cnf(s17,plain,
~ spl1_7,
inference(rat,[],[s7,s11]) ).
cnf(s18,plain,
~ spl1_5,
inference(rat,[],[s5,s16,s17]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s3,s15,s18]) ).
fof(f543,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV570+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n020.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 06:39:24 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 3.71/1.52 % (4192773)Detected formulas, will run a generic FOF schedule.
% 3.71/1.52 % (4192781)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1225102669:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.71/1.52 % (4192781)Refutation not found, incomplete strategy
% 3.71/1.52 % (4192781)------------------------------
% 3.71/1.52 % (4192781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.52 % (4192781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.52 % (4192781)CaDiCaL version: 2.1.3
% 3.71/1.52 % (4192781)Termination reason: Refutation not found, incomplete strategy
% 3.71/1.52 % (4192781)Time elapsed: 0.001 s
% 3.71/1.52 % (4192781)Peak memory usage: 88 MB
% 3.71/1.52 % (4192783)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3708163713:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.71/1.52 % (4192784)dis-21_1_sil=8000:lcm=predicate:random_seed=4260762587:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.71/1.52 % (4192782)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3258458237:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.71/1.52 % (4192778)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=4154341817:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.71/1.52 % (4192780)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3359948811:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.71/1.52 % (4192779)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2258254902:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.71/1.52 % (4192784)Instruction limit reached!
% 3.71/1.52 % (4192784)------------------------------
% 3.71/1.52 % (4192784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.52 % (4192784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.52 % (4192784)CaDiCaL version: 2.1.3
% 3.71/1.52 % (4192784)Termination reason: Instruction limit
% 3.71/1.52 % (4192784)Termination phase: Saturation
% 3.71/1.52 % (4192784)Time elapsed: 0.070 s
% 3.71/1.52 % (4192784)Peak memory usage: 89 MB
% 3.71/1.52 % (4192784)Instructions burned: 131 (million)
% 3.71/1.52 % (4192782)Instruction limit reached!
% 3.71/1.52 % (4192782)------------------------------
% 3.71/1.52 % (4192782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.52 % (4192782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.52 % (4192782)CaDiCaL version: 2.1.3
% 3.71/1.52 % (4192782)Termination reason: Instruction limit
% 3.71/1.52 % (4192782)Termination phase: Saturation
% 3.71/1.52 % (4192782)Time elapsed: 0.073 s
% 3.71/1.52 % (4192782)Peak memory usage: 88 MB
% 3.71/1.52 % (4192782)Instructions burned: 120 (million)
% 3.71/1.52 % (4192783)Instruction limit reached!
% 3.71/1.52 % (4192783)------------------------------
% 3.71/1.52 % (4192783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.52 % (4192783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.52 % (4192783)CaDiCaL version: 2.1.3
% 3.71/1.52 % (4192783)Termination reason: Instruction limit
% 3.71/1.52 % (4192783)Termination phase: Saturation
% 3.71/1.52 % (4192783)Time elapsed: 0.095 s
% 3.71/1.52 % (4192783)Peak memory usage: 89 MB
% 3.71/1.52 % (4192783)Instructions burned: 140 (million)
% 3.71/1.52 % (4192781)------------------------------
% 3.71/1.52 % (4192781)------------------------------
% 3.71/1.52 % (4192795)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1401678277:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 3.71/1.52 % (4192793)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1482422301:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.71/1.52 % (4192792)lrs+10_1_sil=8000:sp=occurrence:random_seed=1868837741:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.71/1.52 % (4192794)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1878601324:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.71/1.52 % (4192794)First to succeed.
% 3.71/1.52 % (4192794)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4192773"
% 3.71/1.52 % (4192795)Instruction limit reached!
% 3.71/1.52 % (4192795)------------------------------
% 3.71/1.52 % (4192795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.52 % (4192795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.52 % (4192795)CaDiCaL version: 2.1.3
% 3.71/1.52 % (4192795)Termination reason: Instruction limit
% 3.71/1.52 % (4192795)Termination phase: Saturation
% 3.71/1.52 % (4192795)Time elapsed: 0.077 s
% 3.71/1.52 % (4192795)Peak memory usage: 91 MB
% 3.71/1.52 % (4192795)Instructions burned: 251 (million)
% 3.71/1.52 % (4192792)Also succeeded, but the first one will report.
% 3.71/1.52 % (4192793)Instruction limit reached!
% 3.71/1.52 % (4192793)------------------------------
% 3.71/1.52 % (4192793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.52 % (4192793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.52 % (4192793)CaDiCaL version: 2.1.3
% 3.71/1.52 % (4192793)Termination reason: Instruction limit
% 3.71/1.52 % (4192793)Termination phase: Saturation
% 3.71/1.52 % (4192793)Time elapsed: 0.076 s
% 3.71/1.52 % (4192793)Peak memory usage: 89 MB
% 3.71/1.52 % (4192793)Instructions burned: 157 (million)
% 3.71/1.52 % (4192800)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3752396634:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 3.71/1.52 % (4192800)Refutation not found, incomplete strategy
% 3.71/1.52 % (4192800)------------------------------
% 3.71/1.52 % (4192800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.52 % (4192800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.52 % (4192800)CaDiCaL version: 2.1.3
% 3.71/1.52 % (4192800)Termination reason: Refutation not found, incomplete strategy
% 3.71/1.52 % (4192800)Time elapsed: 0.001 s
% 3.71/1.52 % (4192800)Peak memory usage: 88 MB
% 3.71/1.52 % (4192800)Instructions burned: 1 (million)
% 3.71/1.52 % (4192801)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2750229046:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 3.71/1.52 % (4192800)------------------------------
% 3.71/1.52 % (4192800)------------------------------
% 3.71/1.52 % (4192794)Refutation found. Thanks to Tanya!
% 3.71/1.52 % SZS status Theorem for theBenchmark
% 3.71/1.52 % SZS output start Proof for theBenchmark
% See solution above
% 5.31/1.71 % (4192794)------------------------------
% 5.31/1.71 % (4192794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.31/1.71 % (4192794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.31/1.71 % (4192794)CaDiCaL version: 2.1.3
% 5.31/1.71 % (4192794)Termination reason: Refutation
% 5.31/1.71 % (4192794)Time elapsed: 0.024 s
% 5.31/1.71 % (4192794)Peak memory usage: 90 MB
% 5.31/1.71 % (4192794)Instructions burned: 40 (million)
% 5.31/1.71 % (4192794)------------------------------
% 5.31/1.71 % (4192794)------------------------------
% 5.31/1.71 % (4192773)Success in time 0.661 s
% 5.31/1.71 % Vampire exiting
%------------------------------------------------------------------------------