%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO903_10 : TPTP v9.3.1. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 02:29:20 PM UTC 2026
% Result : ContradictoryAxioms 3.07s 1.11s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 23
% Syntax : Number of formulae : 139 ( 10 unt; 0 typ; 12 def)
% Number of atoms : 601 ( 0 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 777 ( 315 ~; 374 |; 0 &)
% ( 12 <=>; 76 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 18 ( 17 usr; 13 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 190 ( 0 sgn 190 !; 0 ?; 190 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'$ki_world': $tType ).
tff(func_def_0,type,
'$ki_local_world': '$ki_world' ).
tff(func_def_1,type,
sK0: '$ki_world' ).
tff(pred_def_1,type,
'$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).
tff(pred_def_2,type,
v1: '$ki_world' > $o ).
tff(pred_def_3,type,
v2: '$ki_world' > $o ).
tff(pred_def_4,type,
v3: '$ki_world' > $o ).
tff(pred_def_5,type,
v4: '$ki_world' > $o ).
tff(f1,axiom,
! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_reflexive) ).
tff(f5,axiom,
( v1('$ki_local_world')
| v2('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'(X0,X1)
=> ~ v4(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat3) ).
tff(f7,axiom,
( v1('$ki_local_world')
| v3('$ki_local_world')
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'(X0,X1)
=> v3(X1) ) )
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'(X0,X1)
=> v4(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat5) ).
tff(f20,axiom,
( v2('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ~ v1(X0) )
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'(X0,X1)
=> ~ v1(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat18) ).
tff(f25,axiom,
( v3('$ki_local_world')
| v4('$ki_local_world')
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'(X0,X1)
=> v1(X1) ) )
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'(X0,X1)
=> ~ v4(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat23) ).
tff(f28,axiom,
( v3('$ki_local_world')
| ~ v4('$ki_local_world')
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'(X0,X1)
=> v3(X1) ) )
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'(X0,X1)
=> ~ v4(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat26) ).
tff(f33,axiom,
( v4('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'(X0,X1)
=> v1(X1) ) )
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'(X0,X1)
=> v4(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat31) ).
tff(f34,axiom,
( v4('$ki_local_world')
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ~ v1(X0) )
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'(X0,X1)
=> v4(X1) ) )
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'(X0,X1)
=> ~ v1(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat32) ).
tff(f40,axiom,
( ~ v1('$ki_local_world')
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ~ v4(X0) )
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'(X0,X1)
=> v4(X1) ) )
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'(X0,X1)
=> ~ v4(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat38) ).
tff(f46,axiom,
( ~ v3('$ki_local_world')
| ~ v4('$ki_local_world')
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ~ v4(X0) )
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'(X0,X1)
=> v4(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat44) ).
tff(f48,axiom,
( ~ v3('$ki_local_world')
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ~ v4(X0) )
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'(X0,X1)
=> ~ v2(X1) ) )
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'(X0,X1)
=> ~ v4(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat46) ).
tff(f57,plain,
( v1('$ki_local_world')
| v3('$ki_local_world')
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'(X0,X1)
=> v3(X1) ) )
| ! [X2: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X2)
=> ! [X3: '$ki_world'] :
( '$ki_accessible'(X2,X3)
=> v4(X3) ) ) ),
inference(rectify,[],[f7]) ).
tff(f67,plain,
( v2('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ~ v1(X0) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X2: '$ki_world'] :
( '$ki_accessible'(X1,X2)
=> ~ v1(X2) ) ) ),
inference(rectify,[],[f20]) ).
tff(f72,plain,
( v3('$ki_local_world')
| v4('$ki_local_world')
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'(X0,X1)
=> v1(X1) ) )
| ! [X2: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X2)
=> ! [X3: '$ki_world'] :
( '$ki_accessible'(X2,X3)
=> ~ v4(X3) ) ) ),
inference(rectify,[],[f25]) ).
tff(f75,plain,
( v3('$ki_local_world')
| ~ v4('$ki_local_world')
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'(X0,X1)
=> v3(X1) ) )
| ! [X2: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X2)
=> ! [X3: '$ki_world'] :
( '$ki_accessible'(X2,X3)
=> ~ v4(X3) ) ) ),
inference(rectify,[],[f28]) ).
tff(f80,plain,
( v4('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'(X0,X1)
=> v1(X1) ) )
| ! [X2: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X2)
=> ! [X3: '$ki_world'] :
( '$ki_accessible'(X2,X3)
=> v4(X3) ) ) ),
inference(rectify,[],[f33]) ).
tff(f81,plain,
( v4('$ki_local_world')
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ~ v1(X0) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X2: '$ki_world'] :
( '$ki_accessible'(X1,X2)
=> v4(X2) ) )
| ! [X3: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X3)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X3,X4)
=> ~ v1(X4) ) ) ),
inference(rectify,[],[f34]) ).
tff(f87,plain,
( ~ v1('$ki_local_world')
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ~ v4(X0) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X2: '$ki_world'] :
( '$ki_accessible'(X1,X2)
=> v4(X2) ) )
| ! [X3: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X3)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X3,X4)
=> ~ v4(X4) ) ) ),
inference(rectify,[],[f40]) ).
tff(f93,plain,
( ~ v3('$ki_local_world')
| ~ v4('$ki_local_world')
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ~ v4(X0) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X2: '$ki_world'] :
( '$ki_accessible'(X1,X2)
=> v4(X2) ) ) ),
inference(rectify,[],[f46]) ).
tff(f95,plain,
( ~ v3('$ki_local_world')
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ~ v4(X0) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ! [X2: '$ki_world'] :
( '$ki_accessible'(X1,X2)
=> ~ v2(X2) ) )
| ! [X3: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X3)
=> ! [X4: '$ki_world'] :
( '$ki_accessible'(X3,X4)
=> ~ v4(X4) ) ) ),
inference(rectify,[],[f48]) ).
tff(f106,plain,
( v1('$ki_local_world')
| v2('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [X0: '$ki_world'] :
( ! [X1: '$ki_world'] :
( ~ v4(X1)
| ~ '$ki_accessible'(X0,X1) )
| ~ '$ki_accessible'('$ki_local_world',X0) ) ),
inference(ennf_transformation,[],[f5]) ).
tff(f108,plain,
( v1('$ki_local_world')
| v3('$ki_local_world')
| ! [X0: '$ki_world'] :
( ! [X1: '$ki_world'] :
( v3(X1)
| ~ '$ki_accessible'(X0,X1) )
| ~ '$ki_accessible'('$ki_local_world',X0) )
| ! [X2: '$ki_world'] :
( ! [X3: '$ki_world'] :
( v4(X3)
| ~ '$ki_accessible'(X2,X3) )
| ~ '$ki_accessible'('$ki_local_world',X2) ) ),
inference(ennf_transformation,[],[f57]) ).
tff(f121,plain,
( v2('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [X0: '$ki_world'] :
( ~ v1(X0)
| ~ '$ki_accessible'('$ki_local_world',X0) )
| ! [X1: '$ki_world'] :
( ! [X2: '$ki_world'] :
( ~ v1(X2)
| ~ '$ki_accessible'(X1,X2) )
| ~ '$ki_accessible'('$ki_local_world',X1) ) ),
inference(ennf_transformation,[],[f67]) ).
tff(f126,plain,
( v3('$ki_local_world')
| v4('$ki_local_world')
| ! [X0: '$ki_world'] :
( ! [X1: '$ki_world'] :
( v1(X1)
| ~ '$ki_accessible'(X0,X1) )
| ~ '$ki_accessible'('$ki_local_world',X0) )
| ! [X2: '$ki_world'] :
( ! [X3: '$ki_world'] :
( ~ v4(X3)
| ~ '$ki_accessible'(X2,X3) )
| ~ '$ki_accessible'('$ki_local_world',X2) ) ),
inference(ennf_transformation,[],[f72]) ).
tff(f129,plain,
( v3('$ki_local_world')
| ~ v4('$ki_local_world')
| ! [X0: '$ki_world'] :
( ! [X1: '$ki_world'] :
( v3(X1)
| ~ '$ki_accessible'(X0,X1) )
| ~ '$ki_accessible'('$ki_local_world',X0) )
| ! [X2: '$ki_world'] :
( ! [X3: '$ki_world'] :
( ~ v4(X3)
| ~ '$ki_accessible'(X2,X3) )
| ~ '$ki_accessible'('$ki_local_world',X2) ) ),
inference(ennf_transformation,[],[f75]) ).
tff(f134,plain,
( v4('$ki_local_world')
| ~ v3('$ki_local_world')
| ! [X0: '$ki_world'] :
( ! [X1: '$ki_world'] :
( v1(X1)
| ~ '$ki_accessible'(X0,X1) )
| ~ '$ki_accessible'('$ki_local_world',X0) )
| ! [X2: '$ki_world'] :
( ! [X3: '$ki_world'] :
( v4(X3)
| ~ '$ki_accessible'(X2,X3) )
| ~ '$ki_accessible'('$ki_local_world',X2) ) ),
inference(ennf_transformation,[],[f80]) ).
tff(f135,plain,
( v4('$ki_local_world')
| ! [X0: '$ki_world'] :
( ~ v1(X0)
| ~ '$ki_accessible'('$ki_local_world',X0) )
| ! [X1: '$ki_world'] :
( ! [X2: '$ki_world'] :
( v4(X2)
| ~ '$ki_accessible'(X1,X2) )
| ~ '$ki_accessible'('$ki_local_world',X1) )
| ! [X3: '$ki_world'] :
( ! [X4: '$ki_world'] :
( ~ v1(X4)
| ~ '$ki_accessible'(X3,X4) )
| ~ '$ki_accessible'('$ki_local_world',X3) ) ),
inference(ennf_transformation,[],[f81]) ).
tff(f141,plain,
( ~ v1('$ki_local_world')
| ! [X0: '$ki_world'] :
( ~ v4(X0)
| ~ '$ki_accessible'('$ki_local_world',X0) )
| ! [X1: '$ki_world'] :
( ! [X2: '$ki_world'] :
( v4(X2)
| ~ '$ki_accessible'(X1,X2) )
| ~ '$ki_accessible'('$ki_local_world',X1) )
| ! [X3: '$ki_world'] :
( ! [X4: '$ki_world'] :
( ~ v4(X4)
| ~ '$ki_accessible'(X3,X4) )
| ~ '$ki_accessible'('$ki_local_world',X3) ) ),
inference(ennf_transformation,[],[f87]) ).
tff(f147,plain,
( ~ v3('$ki_local_world')
| ~ v4('$ki_local_world')
| ! [X0: '$ki_world'] :
( ~ v4(X0)
| ~ '$ki_accessible'('$ki_local_world',X0) )
| ! [X1: '$ki_world'] :
( ! [X2: '$ki_world'] :
( v4(X2)
| ~ '$ki_accessible'(X1,X2) )
| ~ '$ki_accessible'('$ki_local_world',X1) ) ),
inference(ennf_transformation,[],[f93]) ).
tff(f149,plain,
( ~ v3('$ki_local_world')
| ! [X0: '$ki_world'] :
( ~ v4(X0)
| ~ '$ki_accessible'('$ki_local_world',X0) )
| ! [X1: '$ki_world'] :
( ! [X2: '$ki_world'] :
( ~ v2(X2)
| ~ '$ki_accessible'(X1,X2) )
| ~ '$ki_accessible'('$ki_local_world',X1) )
| ! [X3: '$ki_world'] :
( ! [X4: '$ki_world'] :
( ~ v4(X4)
| ~ '$ki_accessible'(X3,X4) )
| ~ '$ki_accessible'('$ki_local_world',X3) ) ),
inference(ennf_transformation,[],[f95]) ).
tff(f155,plain,
! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tff(f159,plain,
! [X0: '$ki_world',X1: '$ki_world'] :
( v1('$ki_local_world')
| v2('$ki_local_world')
| ~ v3('$ki_local_world')
| ~ v4(X1)
| ~ '$ki_accessible'(X0,X1)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f106]) ).
tff(f161,plain,
! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
( v1('$ki_local_world')
| v3('$ki_local_world')
| v3(X1)
| ~ '$ki_accessible'(X0,X1)
| ~ '$ki_accessible'('$ki_local_world',X0)
| v4(X3)
| ~ '$ki_accessible'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(cnf_transformation,[],[f108]) ).
tff(f174,plain,
! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
( v2('$ki_local_world')
| ~ v3('$ki_local_world')
| ~ v1(X0)
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ v1(X2)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cnf_transformation,[],[f121]) ).
tff(f179,plain,
! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
( v3('$ki_local_world')
| v4('$ki_local_world')
| v1(X1)
| ~ '$ki_accessible'(X0,X1)
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ v4(X3)
| ~ '$ki_accessible'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(cnf_transformation,[],[f126]) ).
tff(f182,plain,
! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
( v3('$ki_local_world')
| ~ v4('$ki_local_world')
| v3(X1)
| ~ '$ki_accessible'(X0,X1)
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ v4(X3)
| ~ '$ki_accessible'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(cnf_transformation,[],[f129]) ).
tff(f187,plain,
! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
( v4('$ki_local_world')
| ~ v3('$ki_local_world')
| v1(X1)
| ~ '$ki_accessible'(X0,X1)
| ~ '$ki_accessible'('$ki_local_world',X0)
| v4(X3)
| ~ '$ki_accessible'(X2,X3)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(cnf_transformation,[],[f134]) ).
tff(f188,plain,
! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world'] :
( v4('$ki_local_world')
| ~ v1(X0)
| ~ '$ki_accessible'('$ki_local_world',X0)
| v4(X2)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v1(X4)
| ~ '$ki_accessible'(X3,X4)
| ~ '$ki_accessible'('$ki_local_world',X3) ),
inference(cnf_transformation,[],[f135]) ).
tff(f194,plain,
! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world'] :
( ~ v1('$ki_local_world')
| ~ v4(X0)
| ~ '$ki_accessible'('$ki_local_world',X0)
| v4(X2)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v4(X4)
| ~ '$ki_accessible'(X3,X4)
| ~ '$ki_accessible'('$ki_local_world',X3) ),
inference(cnf_transformation,[],[f141]) ).
tff(f200,plain,
! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
( ~ v3('$ki_local_world')
| ~ v4('$ki_local_world')
| ~ v4(X0)
| ~ '$ki_accessible'('$ki_local_world',X0)
| v4(X2)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cnf_transformation,[],[f147]) ).
tff(f202,plain,
! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world'] :
( ~ v3('$ki_local_world')
| ~ v4(X0)
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ v2(X2)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ v4(X4)
| ~ '$ki_accessible'(X3,X4)
| ~ '$ki_accessible'('$ki_local_world',X3) ),
inference(cnf_transformation,[],[f149]) ).
tff(f209,definition,
( spl1_1
<=> ! [X4: '$ki_world',X3: '$ki_world'] :
( ~ v4(X4)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X4) ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f210,plain,
( ! [X3: '$ki_world',X4: '$ki_world'] :
( ~ v4(X4)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ '$ki_accessible'(X3,X4) )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f209]) ).
tff(f212,definition,
( spl1_2
<=> ! [X2: '$ki_world',X1: '$ki_world'] :
( v4(X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
tff(f213,plain,
( ! [X2: '$ki_world',X1: '$ki_world'] :
( v4(X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X1,X2) )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f212]) ).
tff(f218,definition,
( spl1_4
<=> v4('$ki_local_world') ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
tff(f219,plain,
( ~ v4('$ki_local_world')
| spl1_4 ),
inference(avatar_component_clause,[],[f218]) ).
tff(f222,definition,
( spl1_5
<=> ! [X2: '$ki_world',X3: '$ki_world'] :
( v1(X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3) ) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
tff(f223,plain,
( ! [X2: '$ki_world',X3: '$ki_world'] :
( v1(X3)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ '$ki_accessible'(X2,X3) )
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f222]) ).
tff(f225,definition,
( spl1_6
<=> ! [X1: '$ki_world'] :
( ~ v1(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
tff(f226,plain,
( ! [X1: '$ki_world'] :
( ~ v1(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) )
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f225]) ).
tff(f239,definition,
( spl1_10
<=> ! [X2: '$ki_world',X1: '$ki_world'] :
( v3(X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
tff(f240,plain,
( ! [X2: '$ki_world',X1: '$ki_world'] :
( v3(X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X1,X2) )
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f239]) ).
tff(f246,definition,
( spl1_12
<=> ! [X2: '$ki_world',X1: '$ki_world'] :
( ~ v2(X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl1_12])],[avatar_definition]) ).
tff(f247,plain,
( ! [X2: '$ki_world',X1: '$ki_world'] :
( ~ v2(X2)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ '$ki_accessible'(X1,X2) )
| ~ spl1_12 ),
inference(avatar_component_clause,[],[f246]) ).
tff(f249,definition,
( spl1_13
<=> ! [X0: '$ki_world'] :
( ~ v4(X0)
| ~ '$ki_accessible'('$ki_local_world',X0) ) ),
introduced(definition,[new_symbols(definition,[spl1_13])],[avatar_definition]) ).
tff(f250,plain,
( ! [X0: '$ki_world'] :
( ~ v4(X0)
| ~ '$ki_accessible'('$ki_local_world',X0) )
| ~ spl1_13 ),
inference(avatar_component_clause,[],[f249]) ).
tff(f252,definition,
( spl1_14
<=> v3('$ki_local_world') ),
introduced(definition,[new_symbols(definition,[spl1_14])],[avatar_definition]) ).
tff(f253,plain,
( ~ v3('$ki_local_world')
| spl1_14 ),
inference(avatar_component_clause,[],[f252]) ).
tff(f254,plain,
( spl1_1
| spl1_12
| spl1_13
| ~ spl1_14 ),
inference(avatar_split_clause,[],[f202,f252,f249,f246,f209]) ).
tff(f256,plain,
( spl1_2
| spl1_13
| ~ spl1_4
| ~ spl1_14 ),
inference(avatar_split_clause,[],[f200,f252,f218,f249,f212]) ).
tff(f258,definition,
( spl1_15
<=> ! [X4: '$ki_world',X5: '$ki_world'] :
( ~ v1(X5)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'(X4,X5) ) ),
introduced(definition,[new_symbols(definition,[spl1_15])],[avatar_definition]) ).
tff(f259,plain,
( ! [X4: '$ki_world',X5: '$ki_world'] :
( ~ v1(X5)
| ~ '$ki_accessible'('$ki_local_world',X4)
| ~ '$ki_accessible'(X4,X5) )
| ~ spl1_15 ),
inference(avatar_component_clause,[],[f258]) ).
tff(f261,definition,
( spl1_16
<=> v2('$ki_local_world') ),
introduced(definition,[new_symbols(definition,[spl1_16])],[avatar_definition]) ).
tff(f271,definition,
( spl1_18
<=> v1('$ki_local_world') ),
introduced(definition,[new_symbols(definition,[spl1_18])],[avatar_definition]) ).
tff(f272,plain,
( ~ v1('$ki_local_world')
| spl1_18 ),
inference(avatar_component_clause,[],[f271]) ).
tff(f274,plain,
( spl1_1
| spl1_2
| spl1_13
| ~ spl1_18 ),
inference(avatar_split_clause,[],[f194,f271,f249,f212,f209]) ).
tff(f283,plain,
( v4('$ki_local_world')
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f218]) ).
tff(f284,plain,
( spl1_15
| spl1_2
| spl1_6
| spl1_4 ),
inference(avatar_split_clause,[],[f188,f218,f225,f212,f258]) ).
tff(f285,plain,
( spl1_2
| spl1_5
| ~ spl1_14
| spl1_4 ),
inference(avatar_split_clause,[],[f187,f218,f252,f222,f212]) ).
tff(f291,plain,
( spl1_1
| spl1_10
| ~ spl1_4
| spl1_14 ),
inference(avatar_split_clause,[],[f182,f252,f218,f239,f209]) ).
tff(f294,plain,
( spl1_1
| spl1_5
| spl1_4
| spl1_14 ),
inference(avatar_split_clause,[],[f179,f252,f218,f222,f209]) ).
tff(f299,plain,
( v2('$ki_local_world')
| ~ spl1_16 ),
inference(avatar_component_clause,[],[f261]) ).
tff(f303,plain,
( spl1_15
| spl1_6
| ~ spl1_14
| spl1_16 ),
inference(avatar_split_clause,[],[f174,f261,f252,f225,f258]) ).
tff(f308,plain,
( v1('$ki_local_world')
| ~ spl1_18 ),
inference(avatar_component_clause,[],[f271]) ).
tff(f317,plain,
( spl1_2
| spl1_10
| spl1_14
| spl1_18 ),
inference(avatar_split_clause,[],[f161,f271,f252,f239,f212]) ).
tff(f319,plain,
( spl1_1
| ~ spl1_14
| spl1_16
| spl1_18 ),
inference(avatar_split_clause,[],[f159,f271,f261,f252,f209]) ).
tff(f325,plain,
( ! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_accessible'(X0,'$ki_local_world') )
| ~ spl1_2
| spl1_4 ),
inference(resolution,[],[f213,f219]) ).
tff(f326,plain,
( ~ '$ki_accessible'('$ki_local_world','$ki_local_world')
| ~ spl1_2
| spl1_4 ),
inference(factoring,[],[f325]) ).
tff(f327,plain,
( ! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_accessible'(X0,'$ki_local_world') )
| ~ spl1_5
| spl1_18 ),
inference(resolution,[],[f223,f272]) ).
tff(f329,plain,
( $false
| ~ spl1_2
| spl1_4 ),
inference(resolution,[],[f326,f155]) ).
tff(f330,plain,
( ~ spl1_2
| spl1_4 ),
inference(avatar_contradiction_clause,[],[f329]) ).
tff(f331,plain,
( ~ '$ki_accessible'('$ki_local_world','$ki_local_world')
| ~ spl1_5
| spl1_18 ),
inference(factoring,[],[f327]) ).
tff(f332,plain,
( $false
| ~ spl1_5
| spl1_18 ),
inference(resolution,[],[f331,f155]) ).
tff(f333,plain,
( ~ spl1_5
| spl1_18 ),
inference(avatar_contradiction_clause,[],[f332]) ).
tff(f334,plain,
( ~ '$ki_accessible'('$ki_local_world','$ki_local_world')
| ~ spl1_6
| ~ spl1_18 ),
inference(resolution,[],[f308,f226]) ).
tff(f335,plain,
( $false
| ~ spl1_6
| ~ spl1_18 ),
inference(resolution,[],[f334,f155]) ).
tff(f336,plain,
( ~ spl1_6
| ~ spl1_18 ),
inference(avatar_contradiction_clause,[],[f335]) ).
tff(f337,plain,
( ! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_accessible'(X0,'$ki_local_world') )
| ~ spl1_10
| spl1_14 ),
inference(resolution,[],[f240,f253]) ).
tff(f338,plain,
( ~ '$ki_accessible'('$ki_local_world','$ki_local_world')
| ~ spl1_10
| spl1_14 ),
inference(factoring,[],[f337]) ).
tff(f339,plain,
( ! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_accessible'(X0,'$ki_local_world') )
| ~ spl1_12
| ~ spl1_16 ),
inference(resolution,[],[f247,f299]) ).
tff(f342,plain,
( $false
| ~ spl1_10
| spl1_14 ),
inference(resolution,[],[f338,f155]) ).
tff(f343,plain,
( ~ spl1_10
| spl1_14 ),
inference(avatar_contradiction_clause,[],[f342]) ).
tff(f344,plain,
( ~ '$ki_accessible'('$ki_local_world','$ki_local_world')
| ~ spl1_4
| ~ spl1_13 ),
inference(resolution,[],[f283,f250]) ).
tff(f345,plain,
( $false
| ~ spl1_4
| ~ spl1_13 ),
inference(resolution,[],[f344,f155]) ).
tff(f346,plain,
( ~ spl1_4
| ~ spl1_13 ),
inference(avatar_contradiction_clause,[],[f345]) ).
tff(f359,plain,
( ! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_accessible'(X0,'$ki_local_world') )
| ~ spl1_1
| ~ spl1_4 ),
inference(resolution,[],[f210,f283]) ).
tff(f363,plain,
( ! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_accessible'(X0,'$ki_local_world') )
| ~ spl1_15
| ~ spl1_18 ),
inference(resolution,[],[f259,f308]) ).
tff(f372,plain,
( ~ '$ki_accessible'('$ki_local_world','$ki_local_world')
| ~ spl1_1
| ~ spl1_4 ),
inference(factoring,[],[f359]) ).
tff(f373,plain,
( $false
| ~ spl1_1
| ~ spl1_4 ),
inference(resolution,[],[f372,f155]) ).
tff(f375,plain,
( ~ spl1_1
| ~ spl1_4 ),
inference(avatar_contradiction_clause,[],[f373]) ).
tff(f380,plain,
( ~ '$ki_accessible'('$ki_local_world','$ki_local_world')
| ~ spl1_15
| ~ spl1_18 ),
inference(factoring,[],[f363]) ).
tff(f381,plain,
( $false
| ~ spl1_15
| ~ spl1_18 ),
inference(resolution,[],[f380,f155]) ).
tff(f383,plain,
( ~ spl1_15
| ~ spl1_18 ),
inference(avatar_contradiction_clause,[],[f381]) ).
tff(f394,plain,
( ~ '$ki_accessible'('$ki_local_world','$ki_local_world')
| ~ spl1_12
| ~ spl1_16 ),
inference(factoring,[],[f339]) ).
tff(f395,plain,
( $false
| ~ spl1_12
| ~ spl1_16 ),
inference(resolution,[],[f394,f155]) ).
tff(f397,plain,
( ~ spl1_12
| ~ spl1_16 ),
inference(avatar_contradiction_clause,[],[f395]) ).
cnf(s5,plain,
( spl1_1
| spl1_12
| spl1_13
| ~ spl1_14 ),
inference(sat_conversion,[],[f254]) ).
cnf(s7,plain,
( spl1_2
| ~ spl1_4
| spl1_13
| ~ spl1_14 ),
inference(sat_conversion,[],[f256]) ).
cnf(s13,plain,
( spl1_1
| spl1_2
| spl1_13
| ~ spl1_18 ),
inference(sat_conversion,[],[f274]) ).
cnf(s19,plain,
( spl1_2
| spl1_4
| spl1_6
| spl1_15 ),
inference(sat_conversion,[],[f284]) ).
cnf(s20,plain,
( spl1_2
| spl1_4
| spl1_5
| ~ spl1_14 ),
inference(sat_conversion,[],[f285]) ).
cnf(s25,plain,
( spl1_1
| ~ spl1_4
| spl1_10
| spl1_14 ),
inference(sat_conversion,[],[f291]) ).
cnf(s28,plain,
( spl1_1
| spl1_4
| spl1_5
| spl1_14 ),
inference(sat_conversion,[],[f294]) ).
cnf(s33,plain,
( spl1_6
| ~ spl1_14
| spl1_15
| spl1_16 ),
inference(sat_conversion,[],[f303]) ).
cnf(s46,plain,
( spl1_2
| spl1_10
| spl1_14
| spl1_18 ),
inference(sat_conversion,[],[f317]) ).
cnf(s48,plain,
( spl1_1
| ~ spl1_14
| spl1_16
| spl1_18 ),
inference(sat_conversion,[],[f319]) ).
cnf(s52,plain,
( ~ spl1_2
| spl1_4 ),
inference(sat_conversion,[],[f330]) ).
cnf(s53,plain,
( ~ spl1_5
| spl1_18 ),
inference(sat_conversion,[],[f333]) ).
cnf(s54,plain,
( ~ spl1_6
| ~ spl1_18 ),
inference(sat_conversion,[],[f336]) ).
cnf(s55,plain,
( ~ spl1_10
| spl1_14 ),
inference(sat_conversion,[],[f343]) ).
cnf(s56,plain,
( ~ spl1_4
| ~ spl1_13 ),
inference(sat_conversion,[],[f346]) ).
cnf(s61,plain,
( ~ spl1_1
| ~ spl1_4 ),
inference(sat_conversion,[],[f375]) ).
cnf(s62,plain,
( ~ spl1_15
| ~ spl1_18 ),
inference(sat_conversion,[],[f383]) ).
cnf(s64,plain,
( ~ spl1_12
| ~ spl1_16 ),
inference(sat_conversion,[],[f397]) ).
cnf(s65,plain,
( spl1_5
| spl1_4
| spl1_2
| spl1_1 ),
inference(rat,[],[s20,s28]) ).
cnf(s66,plain,
( spl1_4
| spl1_2
| spl1_1 ),
inference(rat,[],[s19,s54,s62,s53,s65]) ).
cnf(s67,plain,
( spl1_2
| spl1_1 ),
inference(rat,[],[s46,s55,s7,s13,s56,s66]) ).
cnf(s68,plain,
( ~ spl1_14
| spl1_18
| spl1_1 ),
inference(rat,[],[s64,s5,s48,s56,s52,s67]) ).
cnf(s69,plain,
( spl1_14
| spl1_1 ),
inference(rat,[],[s25,s55,s52,s67]) ).
cnf(s70,plain,
( ~ spl1_14
| spl1_1
| spl1_13 ),
inference(rat,[],[s33,s54,s62,s64,s68,s5]) ).
cnf(s71,plain,
spl1_1,
inference(rat,[],[s70,s69,s56,s52,s67]) ).
cnf(s72,plain,
~ spl1_4,
inference(rat,[],[s61,s71]) ).
cnf(s73,plain,
~ spl1_2,
inference(rat,[],[s52,s72]) ).
cnf(s75,plain,
spl1_18,
inference(rat,[],[s46,s55,s20,s53,s73,s72]) ).
cnf(s76,plain,
~ spl1_15,
inference(rat,[],[s62,s75]) ).
cnf(s77,plain,
~ spl1_6,
inference(rat,[],[s54,s75]) ).
cnf(s78,plain,
$false,
inference(rat,[],[s19,s72,s73,s76,s77]) ).
tff(f398,plain,
$false,
inference(avatar_sat_refutation,[],[s78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO903_10 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n003.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 18:41:57 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 3.07/1.11 % (1851169)Detected formulas, will run a generic FOF schedule.
% 3.07/1.11 % (1851227)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1935356124:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.07/1.11 % (1851227)Refutation not found, incomplete strategy
% 3.07/1.11 % (1851227)------------------------------
% 3.07/1.11 % (1851227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.07/1.11 % (1851227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/1.11 % (1851227)CaDiCaL version: 2.1.3
% 3.07/1.11 % (1851227)Termination reason: Refutation not found, incomplete strategy
% 3.07/1.11 % (1851227)Time elapsed: 0.0000 s
% 3.07/1.11 % (1851227)Peak memory usage: 86 MB
% 3.07/1.11 % (1851225)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=1686258656:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.07/1.11 % (1851223)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=751931926:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.07/1.11 % (1851226)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1895213487:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.07/1.11 % (1851224)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=2446385010:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.07/1.11 % (1851226)Refutation not found, incomplete strategy
% 3.07/1.11 % (1851226)------------------------------
% 3.07/1.11 % (1851226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.07/1.11 % (1851226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/1.11 % (1851226)CaDiCaL version: 2.1.3
% 3.07/1.11 % (1851226)Termination reason: Refutation not found, incomplete strategy
% 3.07/1.11 % (1851226)Time elapsed: 0.001 s
% 3.07/1.11 % (1851226)Peak memory usage: 86 MB
% 3.07/1.11 % (1851228)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2918897308:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.07/1.11 % (1851229)dis-21_1_sil=8000:lcm=predicate:random_seed=1171366301: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)
% 3.07/1.11 % (1851228)Also succeeded, but the first one will report.
% 3.07/1.11 % (1851229)First to succeed.
% 3.07/1.11 % (1851229)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1851169"
% 3.07/1.11 % (1851227)------------------------------
% 3.07/1.11 % (1851227)------------------------------
% 3.07/1.11 % (1851237)lrs+10_1_sil=8000:sp=occurrence:random_seed=567165724:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.07/1.11 % (1851237)Refutation not found, incomplete strategy
% 3.07/1.11 % (1851237)------------------------------
% 3.07/1.11 % (1851237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.07/1.11 % (1851237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/1.11 % (1851237)CaDiCaL version: 2.1.3
% 3.07/1.11 % (1851237)Termination reason: Refutation not found, incomplete strategy
% 3.07/1.11 % (1851237)Time elapsed: 0.0000 s
% 3.07/1.11 % (1851237)Peak memory usage: 87 MB
% 3.07/1.11 % (1851226)------------------------------
% 3.07/1.11 % (1851226)------------------------------
% 3.07/1.11 % (1851229)Refutation found. Thanks to Tanya!
% 3.07/1.11 % SZS status ContradictoryAxioms for theBenchmark
% 3.07/1.11 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.31 % (1851229)------------------------------
% 0.18/1.31 % (1851229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.31 % (1851229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.31 % (1851229)CaDiCaL version: 2.1.3
% 0.18/1.31 % (1851229)Termination reason: Refutation
% 0.18/1.31 % (1851229)Time elapsed: 0.008 s
% 0.18/1.31 % (1851229)Peak memory usage: 89 MB
% 0.18/1.31 % (1851229)Instructions burned: 10 (million)
% 0.18/1.31 % (1851229)------------------------------
% 0.18/1.31 % (1851229)------------------------------
% 0.18/1.31 % (1851169)Success in time 0.452 s
% 0.18/1.31 % Vampire exiting
%------------------------------------------------------------------------------