%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV569+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 3.33s 1.35s
% Output : Refutation 4.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 13
% Syntax : Number of formulae : 102 ( 25 unt; 6 def)
% Number of atoms : 261 ( 70 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 254 ( 95 ~; 137 |; 11 &)
% ( 10 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 8 ( 2 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 : 86 ( 0 sgn 84 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X0)
=> mem(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subq_def) ).
fof(f4,axiom,
! [X0] : ~ mem(X0,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_ax) ).
fof(f5,axiom,
! [X0,X1] :
( mem(X0,s(X1))
<=> X0 = X1 ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',u_ax) ).
fof(f8,axiom,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_def) ).
fof(f9,axiom,
! [X0] : n(X0) = a(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_def) ).
fof(f26,conjecture,
~ subq(u(a(s(u(n(e),n(s(n(e))))),a(n(e),n(n(e)))),u(a(s(n(e)),n(n(e))),a(s(n(s(n(e)))),n(n(n(e)))))),u(a(s(u(n(e),n(s(n(e))))),a(n(e),n(n(e)))),u(s(n(n(e))),a(s(n(s(n(e)))),n(n(n(e))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nsubq_2762_2760) ).
fof(f27,negated_conjecture,
~ ~ subq(u(a(s(u(n(e),n(s(n(e))))),a(n(e),n(n(e)))),u(a(s(n(e)),n(n(e))),a(s(n(s(n(e)))),n(n(n(e)))))),u(a(s(u(n(e),n(s(n(e))))),a(n(e),n(n(e)))),u(s(n(n(e))),a(s(n(s(n(e)))),n(n(n(e))))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
subq(u(a(s(u(n(e),n(s(n(e))))),a(n(e),n(n(e)))),u(a(s(n(e)),n(n(e))),a(s(n(s(n(e)))),n(n(n(e)))))),u(a(s(u(n(e),n(s(n(e))))),a(n(e),n(n(e)))),u(s(n(n(e))),a(s(n(s(n(e)))),n(n(n(e))))))),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X1)
| ~ mem(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f32,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,[],[f29]) ).
fof(f33,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,[],[f32]) ).
fof(f34,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))],[f33]) ).
fof(f35,plain,
! [X0,X1] :
( ( mem(X0,s(X1))
| X0 != X1 )
& ( X0 = X1
| ~ mem(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f36,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(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(flattening,[],[f36]) ).
fof(f41,plain,
! [X3,X0,X1] :
( ~ subq(X0,X1)
| ~ mem(X3,X0)
| mem(X3,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f45,plain,
! [X0] : ~ mem(X0,e),
inference(cnf_transformation,[],[f4]) ).
fof(f46,plain,
! [X0,X1] :
( ~ mem(X0,s(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f35]) ).
fof(f47,plain,
! [X0,X1] :
( mem(X0,s(X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f35]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ mem(X0,u(X1,X2))
| mem(X0,X2)
| mem(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f49,plain,
! [X2,X0,X1] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f50,plain,
! [X2,X0,X1] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f54,plain,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
inference(cnf_transformation,[],[f8]) ).
fof(f55,plain,
! [X0] : n(X0) = a(X0,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f58,plain,
subq(u(a(s(u(n(e),n(s(n(e))))),a(n(e),n(n(e)))),u(a(s(n(e)),n(n(e))),a(s(n(s(n(e)))),n(n(n(e)))))),u(a(s(u(n(e),n(s(n(e))))),a(n(e),n(n(e)))),u(s(n(n(e))),a(s(n(s(n(e)))),n(n(n(e))))))),
inference(cnf_transformation,[],[f28]) ).
fof(f59,plain,
! [X1] : mem(X1,s(X1)),
inference(equality_resolution,[],[f47]) ).
fof(f62,plain,
! [X2,X0,X1] :
( mem(X2,a(X0,X1))
| ~ mem(X2,X0) ),
inference(superposition,[],[f50,f54]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ mem(X2,s(X1))
| mem(X2,a(X0,X1)) ),
inference(superposition,[],[f49,f54]) ).
fof(f64,plain,
! [X0] :
( mem(X0,u(a(s(u(n(e),n(s(n(e))))),a(n(e),n(n(e)))),u(s(n(n(e))),a(s(n(s(n(e)))),n(n(n(e)))))))
| ~ mem(X0,u(a(s(u(n(e),n(s(n(e))))),a(n(e),n(n(e)))),u(a(s(n(e)),n(n(e))),a(s(n(s(n(e)))),n(n(n(e))))))) ),
inference(resolution,[],[f41,f58]) ).
fof(f84,plain,
! [X0] :
( mem(X0,a(s(u(n(e),n(s(n(e))))),a(n(e),n(n(e)))))
| mem(X0,u(s(n(n(e))),a(s(n(s(n(e)))),n(n(n(e))))))
| ~ mem(X0,u(a(s(u(n(e),n(s(n(e))))),a(n(e),n(n(e)))),u(a(s(n(e)),n(n(e))),a(s(n(s(n(e)))),n(n(n(e))))))) ),
inference(resolution,[],[f48,f64]) ).
fof(f85,plain,
! [X2,X0,X1] :
( mem(X2,s(X1))
| ~ mem(X2,a(X0,X1))
| mem(X2,X0) ),
inference(superposition,[],[f48,f54]) ).
fof(f87,plain,
! [X0,X1] : mem(X0,a(X1,X0)),
inference(resolution,[],[f63,f59]) ).
fof(f88,plain,
! [X0] : mem(X0,n(X0)),
inference(superposition,[],[f87,f55]) ).
fof(f131,plain,
! [X2,X0,X1] :
( ~ mem(X0,a(X1,X2))
| mem(X0,X1)
| X0 = X2 ),
inference(resolution,[],[f85,f46]) ).
fof(f142,plain,
! [X0] :
( mem(X0,u(s(n(n(e))),a(s(n(s(n(e)))),n(n(n(e))))))
| a(n(e),n(n(e))) = X0
| mem(X0,s(u(n(e),n(s(n(e))))))
| ~ mem(X0,u(a(s(u(n(e),n(s(n(e))))),a(n(e),n(n(e)))),u(a(s(n(e)),n(n(e))),a(s(n(s(n(e)))),n(n(n(e))))))) ),
inference(resolution,[],[f131,f84]) ).
fof(f146,plain,
! [X0,X1] :
( ~ mem(X1,n(X0))
| mem(X1,X0)
| X0 = X1 ),
inference(superposition,[],[f131,f55]) ).
fof(f147,plain,
! [X0] :
( mem(X0,a(s(n(s(n(e)))),n(n(n(e)))))
| mem(X0,s(u(n(e),n(s(n(e))))))
| ~ mem(X0,u(a(s(u(n(e),n(s(n(e))))),a(n(e),n(n(e)))),u(a(s(n(e)),n(n(e))),a(s(n(s(n(e)))),n(n(n(e)))))))
| a(n(e),n(n(e))) = X0
| mem(X0,s(n(n(e)))) ),
inference(resolution,[],[f142,f48]) ).
fof(f151,plain,
! [X0] :
( mem(X0,s(n(n(e))))
| ~ mem(X0,u(a(s(u(n(e),n(s(n(e))))),a(n(e),n(n(e)))),u(a(s(n(e)),n(n(e))),a(s(n(s(n(e)))),n(n(n(e)))))))
| a(n(e),n(n(e))) = X0
| mem(X0,s(u(n(e),n(s(n(e))))))
| mem(X0,s(n(s(n(e)))))
| n(n(n(e))) = X0 ),
inference(resolution,[],[f147,f131]) ).
fof(f156,plain,
! [X0] :
( mem(X0,s(n(s(n(e)))))
| a(n(e),n(n(e))) = X0
| mem(X0,s(u(n(e),n(s(n(e))))))
| ~ mem(X0,u(a(s(u(n(e),n(s(n(e))))),a(n(e),n(n(e)))),u(a(s(n(e)),n(n(e))),a(s(n(s(n(e)))),n(n(n(e)))))))
| n(n(n(e))) = X0
| n(n(e)) = X0 ),
inference(resolution,[],[f151,f46]) ).
fof(f162,plain,
! [X0] :
( ~ mem(X0,u(a(s(u(n(e),n(s(n(e))))),a(n(e),n(n(e)))),u(a(s(n(e)),n(n(e))),a(s(n(s(n(e)))),n(n(n(e)))))))
| mem(X0,s(u(n(e),n(s(n(e))))))
| a(n(e),n(n(e))) = X0
| n(n(n(e))) = X0
| n(n(e)) = X0
| n(s(n(e))) = X0 ),
inference(resolution,[],[f156,f46]) ).
fof(f183,plain,
! [X0] :
( mem(X0,s(u(n(e),n(s(n(e))))))
| a(n(e),n(n(e))) = X0
| n(n(n(e))) = X0
| n(n(e)) = X0
| n(s(n(e))) = X0
| ~ mem(X0,u(a(s(n(e)),n(n(e))),a(s(n(s(n(e)))),n(n(n(e)))))) ),
inference(resolution,[],[f162,f49]) ).
fof(f200,plain,
! [X0] :
( ~ mem(X0,u(a(s(n(e)),n(n(e))),a(s(n(s(n(e)))),n(n(n(e))))))
| n(n(n(e))) = X0
| n(n(e)) = X0
| n(s(n(e))) = X0
| a(n(e),n(n(e))) = X0
| u(n(e),n(s(n(e)))) = X0 ),
inference(resolution,[],[f183,f46]) ).
fof(f203,plain,
! [X0] :
( ~ mem(X0,a(s(n(e)),n(n(e))))
| n(n(e)) = X0
| n(s(n(e))) = X0
| a(n(e),n(n(e))) = X0
| u(n(e),n(s(n(e)))) = X0
| n(n(n(e))) = X0 ),
inference(resolution,[],[f200,f50]) ).
fof(f222,plain,
! [X0] :
( ~ mem(X0,s(n(e)))
| n(s(n(e))) = X0
| a(n(e),n(n(e))) = X0
| u(n(e),n(s(n(e)))) = X0
| n(n(n(e))) = X0
| n(n(e)) = X0 ),
inference(resolution,[],[f203,f62]) ).
fof(f233,plain,
( n(e) = n(s(n(e)))
| n(e) = a(n(e),n(n(e)))
| n(e) = u(n(e),n(s(n(e))))
| n(e) = n(n(n(e)))
| n(e) = n(n(e)) ),
inference(resolution,[],[f222,f59]) ).
fof(f239,definition,
( spl1_6
<=> n(e) = n(n(e)) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
fof(f241,plain,
( n(e) = n(n(e))
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f243,definition,
( spl1_7
<=> n(e) = n(n(n(e))) ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
fof(f245,plain,
( n(e) = n(n(n(e)))
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f247,definition,
( spl1_8
<=> n(e) = u(n(e),n(s(n(e)))) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
fof(f249,plain,
( n(e) = u(n(e),n(s(n(e))))
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f251,definition,
( spl1_9
<=> n(e) = a(n(e),n(n(e))) ),
introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).
fof(f253,plain,
( n(e) = a(n(e),n(n(e)))
| ~ spl1_9 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f255,definition,
( spl1_10
<=> n(e) = n(s(n(e))) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
fof(f257,plain,
( n(e) = n(s(n(e)))
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f258,plain,
( spl1_6
| spl1_7
| spl1_8
| spl1_9
| spl1_10 ),
inference(avatar_split_clause,[],[f233,f255,f251,f247,f243,f239]) ).
fof(f281,plain,
( mem(n(e),n(e))
| ~ spl1_6 ),
inference(superposition,[],[f88,f241]) ).
fof(f667,definition,
( spl1_25
<=> e = s(n(e)) ),
introduced(definition,[new_symbols(definition,[spl1_25])],[avatar_definition]) ).
fof(f668,plain,
( e != s(n(e))
| spl1_25 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f669,plain,
( e = s(n(e))
| ~ spl1_25 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f839,plain,
( mem(n(n(e)),n(e))
| ~ spl1_7 ),
inference(superposition,[],[f88,f245]) ).
fof(f854,plain,
( mem(n(n(e)),e)
| e = n(n(e))
| ~ spl1_7 ),
inference(resolution,[],[f146,f839]) ).
fof(f856,plain,
( e = n(n(e))
| ~ spl1_7 ),
inference(forward_subsumption_resolution,[],[f854,f45]) ).
fof(f878,plain,
( mem(n(e),e)
| ~ spl1_7 ),
inference(superposition,[],[f88,f856]) ).
fof(f879,plain,
( $false
| ~ spl1_7 ),
inference(forward_subsumption_resolution,[],[f878,f45]) ).
fof(f880,plain,
~ spl1_7,
inference(avatar_contradiction_clause,[],[f879]) ).
fof(f908,plain,
( ! [X0] :
( mem(X0,n(e))
| ~ mem(X0,n(s(n(e)))) )
| ~ spl1_8 ),
inference(superposition,[],[f49,f249]) ).
fof(f911,plain,
( ! [X0] :
( ~ mem(X0,n(s(n(e))))
| mem(X0,e)
| e = X0 )
| ~ spl1_8 ),
inference(resolution,[],[f908,f146]) ).
fof(f914,plain,
( ! [X0] :
( ~ mem(X0,n(s(n(e))))
| e = X0 )
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f911,f45]) ).
fof(f918,plain,
( e = s(n(e))
| ~ spl1_8 ),
inference(resolution,[],[f914,f88]) ).
fof(f933,plain,
( spl1_25
| ~ spl1_8 ),
inference(avatar_split_clause,[],[f918,f247,f667]) ).
fof(f960,plain,
( mem(n(e),e)
| ~ spl1_25 ),
inference(superposition,[],[f59,f669]) ).
fof(f968,plain,
( $false
| ~ spl1_25 ),
inference(forward_subsumption_resolution,[],[f960,f45]) ).
fof(f969,plain,
~ spl1_25,
inference(avatar_contradiction_clause,[],[f968]) ).
fof(f1068,plain,
( mem(n(n(e)),n(e))
| ~ spl1_9 ),
inference(superposition,[],[f87,f253]) ).
fof(f1073,plain,
( mem(n(n(e)),e)
| e = n(n(e))
| ~ spl1_9 ),
inference(resolution,[],[f1068,f146]) ).
fof(f1074,plain,
( e = n(n(e))
| ~ spl1_9 ),
inference(forward_subsumption_resolution,[],[f1073,f45]) ).
fof(f1105,plain,
( mem(n(e),e)
| ~ spl1_9 ),
inference(superposition,[],[f88,f1074]) ).
fof(f1108,plain,
( $false
| ~ spl1_9 ),
inference(forward_subsumption_resolution,[],[f1105,f45]) ).
fof(f1109,plain,
~ spl1_9,
inference(avatar_contradiction_clause,[],[f1108]) ).
fof(f1139,plain,
( mem(s(n(e)),n(e))
| ~ spl1_10 ),
inference(superposition,[],[f88,f257]) ).
fof(f1168,plain,
( mem(s(n(e)),e)
| e = s(n(e))
| ~ spl1_10 ),
inference(resolution,[],[f1139,f146]) ).
fof(f1169,plain,
( e = s(n(e))
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f1168,f45]) ).
fof(f1170,plain,
( $false
| ~ spl1_10
| spl1_25 ),
inference(forward_subsumption_resolution,[],[f1169,f668]) ).
fof(f1171,plain,
( ~ spl1_10
| spl1_25 ),
inference(avatar_contradiction_clause,[],[f1170]) ).
fof(f1198,plain,
( mem(n(e),e)
| e = n(e)
| ~ spl1_6 ),
inference(resolution,[],[f281,f146]) ).
fof(f1199,plain,
( e = n(e)
| ~ spl1_6 ),
inference(forward_subsumption_resolution,[],[f1198,f45]) ).
fof(f1232,plain,
( mem(e,e)
| ~ spl1_6 ),
inference(superposition,[],[f281,f1199]) ).
fof(f1245,plain,
( $false
| ~ spl1_6 ),
inference(forward_subsumption_resolution,[],[f1232,f45]) ).
fof(f1246,plain,
~ spl1_6,
inference(avatar_contradiction_clause,[],[f1245]) ).
cnf(s7,plain,
( spl1_6
| spl1_7
| spl1_8
| spl1_9
| spl1_10 ),
inference(sat_conversion,[],[f258]) ).
cnf(s20,plain,
~ spl1_7,
inference(sat_conversion,[],[f880]) ).
cnf(s23,plain,
( ~ spl1_8
| spl1_25 ),
inference(sat_conversion,[],[f933]) ).
cnf(s24,plain,
~ spl1_25,
inference(sat_conversion,[],[f969]) ).
cnf(s28,plain,
~ spl1_9,
inference(sat_conversion,[],[f1109]) ).
cnf(s31,plain,
( ~ spl1_10
| spl1_25 ),
inference(sat_conversion,[],[f1171]) ).
cnf(s35,plain,
~ spl1_6,
inference(sat_conversion,[],[f1246]) ).
cnf(s37,plain,
~ spl1_10,
inference(rat,[],[s31,s24]) ).
cnf(s38,plain,
~ spl1_8,
inference(rat,[],[s23,s24]) ).
cnf(s40,plain,
$false,
inference(rat,[],[s7,s37,s28,s38,s20,s35]) ).
fof(f1434,plain,
$false,
inference(avatar_sat_refutation,[],[s40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV569+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n001.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 28 06:44:17 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.33/1.35 % (164308)Detected formulas, will run a generic FOF schedule.
% 3.33/1.35 % (164317)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=744376769:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.33/1.35 % (164319)dis-21_1_sil=8000:lcm=predicate:random_seed=1471184166: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)
% 3.33/1.35 % (164316)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2228203618:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.33/1.35 % (164314)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=3154037877:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.33/1.35 % (164313)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=3797872349:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.33/1.35 % (164315)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=344413165:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.33/1.35 % (164316)Refutation not found, incomplete strategy
% 3.33/1.35 % (164316)------------------------------
% 3.33/1.35 % (164316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.33/1.35 % (164316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/1.35 % (164316)CaDiCaL version: 2.1.3
% 3.33/1.35 % (164316)Termination reason: Refutation not found, incomplete strategy
% 3.33/1.35 % (164316)Time elapsed: 0.001 s
% 3.33/1.35 % (164316)Peak memory usage: 88 MB
% 3.33/1.35 % (164317)Instruction limit reached!
% 3.33/1.35 % (164317)------------------------------
% 3.33/1.35 % (164317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.33/1.35 % (164317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/1.35 % (164317)CaDiCaL version: 2.1.3
% 3.33/1.35 % (164317)Termination reason: Instruction limit
% 3.33/1.35 % (164317)Termination phase: Saturation
% 3.33/1.35 % (164317)Time elapsed: 0.038 s
% 3.33/1.35 % (164317)Peak memory usage: 88 MB
% 3.33/1.35 % (164317)Instructions burned: 119 (million)
% 3.33/1.35 % (164318)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2705345770:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.33/1.35 % (164318)First to succeed.
% 3.33/1.35 % (164318)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-164308"
% 3.33/1.35 % (164319)Instruction limit reached!
% 3.33/1.35 % (164319)------------------------------
% 3.33/1.35 % (164319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.33/1.35 % (164319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/1.35 % (164319)CaDiCaL version: 2.1.3
% 3.33/1.35 % (164319)Termination reason: Instruction limit
% 3.33/1.35 % (164319)Termination phase: Saturation
% 3.33/1.35 % (164319)Time elapsed: 0.071 s
% 3.33/1.35 % (164319)Peak memory usage: 88 MB
% 3.33/1.35 % (164319)Instructions burned: 130 (million)
% 3.33/1.35 % (164327)lrs+10_1_sil=8000:sp=occurrence:random_seed=2268796131:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.33/1.35 % (164328)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1299350853:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.33/1.35 % (164327)Instruction limit reached!
% 3.33/1.35 % (164327)------------------------------
% 3.33/1.35 % (164327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.33/1.35 % (164327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/1.35 % (164327)CaDiCaL version: 2.1.3
% 3.33/1.35 % (164327)Termination reason: Instruction limit
% 3.33/1.35 % (164327)Termination phase: Saturation
% 3.33/1.35 % (164327)Time elapsed: 0.096 s
% 3.33/1.35 % (164327)Peak memory usage: 91 MB
% 3.33/1.35 % (164327)Instructions burned: 286 (million)
% 3.33/1.35 % (164316)------------------------------
% 3.33/1.35 % (164316)------------------------------
% 3.33/1.35 % (164328)Instruction limit reached!
% 3.33/1.35 % (164328)------------------------------
% 3.33/1.35 % (164328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.33/1.35 % (164328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/1.35 % (164328)CaDiCaL version: 2.1.3
% 3.33/1.35 % (164328)Termination reason: Instruction limit
% 3.33/1.35 % (164328)Termination phase: Saturation
% 3.33/1.35 % (164328)Time elapsed: 0.078 s
% 3.33/1.35 % (164328)Peak memory usage: 89 MB
% 3.33/1.35 % (164328)Instructions burned: 158 (million)
% 3.33/1.35 % (164318)Refutation found. Thanks to Tanya!
% 3.33/1.35 % SZS status Theorem for theBenchmark
% 3.33/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 4.11/1.53 % (164318)------------------------------
% 4.11/1.53 % (164318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.11/1.53 % (164318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/1.53 % (164318)CaDiCaL version: 2.1.3
% 4.11/1.53 % (164318)Termination reason: Refutation
% 4.11/1.53 % (164318)Time elapsed: 0.054 s
% 4.11/1.53 % (164318)Peak memory usage: 90 MB
% 4.11/1.53 % (164318)Instructions burned: 89 (million)
% 4.11/1.53 % (164318)------------------------------
% 4.11/1.53 % (164318)------------------------------
% 4.11/1.53 % (164308)Success in time 0.494 s
% 4.11/1.53 % Vampire exiting
%------------------------------------------------------------------------------