%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU315+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 12:48:18 PM UTC 2026
% Result : Theorem 12.14s 2.64s
% Output : Refutation 12.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 17
% Syntax : Number of formulae : 169 ( 24 unt; 11 def)
% Number of atoms : 647 ( 54 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 812 ( 334 ~; 360 |; 94 &)
% ( 13 <=>; 9 =>; 0 <=; 2 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 9 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 186 ( 0 sgn 149 !; 37 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f202,axiom,
! [X0] : ~ empty(powerset(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f268,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
=> element(X0,powerset(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l71_subset_1) ).
fof(f331,axiom,
! [X0,X1] :
( ( topological_space(X0)
& top_str(X0)
& element(X1,powerset(the_carrier(X0))) )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ( in(X3,powerset(the_carrier(X0)))
& ? [X4] :
( element(X4,powerset(the_carrier(X0)))
& X4 = X3
& closed_subset(X4,X0)
& subset(X1,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e1_40__pre_topc__1) ).
fof(f342,conjecture,
! [X0,X1] :
( ( topological_space(X0)
& top_str(X0)
& element(X1,powerset(the_carrier(X0))) )
=> ? [X2] :
( element(X2,powerset(powerset(the_carrier(X0))))
& ! [X3] :
( element(X3,powerset(the_carrier(X0)))
=> ( in(X3,X2)
<=> ? [X4] :
( element(X4,powerset(the_carrier(X0)))
& X4 = X3
& closed_subset(X4,X0)
& subset(X1,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_subset_1__e1_40__pre_topc) ).
fof(f343,negated_conjecture,
~ ! [X0,X1] :
( ( topological_space(X0)
& top_str(X0)
& element(X1,powerset(the_carrier(X0))) )
=> ? [X2] :
( element(X2,powerset(powerset(the_carrier(X0))))
& ! [X3] :
( element(X3,powerset(the_carrier(X0)))
=> ( in(X3,X2)
<=> ? [X4] :
( element(X4,powerset(the_carrier(X0)))
& X4 = X3
& closed_subset(X4,X0)
& subset(X1,X3) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f342]) ).
fof(f389,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f420,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f808,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) ),
inference(ennf_transformation,[],[f268]) ).
fof(f869,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( in(X3,X2)
<=> ( in(X3,powerset(the_carrier(X0)))
& ? [X4] :
( element(X4,powerset(the_carrier(X0)))
& X4 = X3
& closed_subset(X4,X0)
& subset(X1,X3) ) ) )
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(ennf_transformation,[],[f331]) ).
fof(f870,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( in(X3,X2)
<=> ( in(X3,powerset(the_carrier(X0)))
& ? [X4] :
( element(X4,powerset(the_carrier(X0)))
& X4 = X3
& closed_subset(X4,X0)
& subset(X1,X3) ) ) )
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(flattening,[],[f869]) ).
fof(f887,plain,
? [X0,X1] :
( ! [X2] :
( ~ element(X2,powerset(powerset(the_carrier(X0))))
| ? [X3] :
( ( in(X3,X2)
<~> ? [X4] :
( element(X4,powerset(the_carrier(X0)))
& X4 = X3
& closed_subset(X4,X0)
& subset(X1,X3) ) )
& element(X3,powerset(the_carrier(X0))) ) )
& topological_space(X0)
& top_str(X0)
& element(X1,powerset(the_carrier(X0))) ),
inference(ennf_transformation,[],[f343]) ).
fof(f888,plain,
? [X0,X1] :
( ! [X2] :
( ~ element(X2,powerset(powerset(the_carrier(X0))))
| ? [X3] :
( ( in(X3,X2)
<~> ? [X4] :
( element(X4,powerset(the_carrier(X0)))
& X4 = X3
& closed_subset(X4,X0)
& subset(X1,X3) ) )
& element(X3,powerset(the_carrier(X0))) ) )
& topological_space(X0)
& top_str(X0)
& element(X1,powerset(the_carrier(X0))) ),
inference(flattening,[],[f887]) ).
fof(f945,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f389]) ).
fof(f988,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f420]) ).
fof(f989,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f988]) ).
fof(f1385,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ( ~ in(sK159(X0,X1),X1)
& in(sK159(X0,X1),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK159]),skolemize(X2,sK159(X0,X1))],[f808]) ).
fof(f1560,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( in(X3,X2)
| ~ in(X3,powerset(the_carrier(X0)))
| ! [X4] :
( ~ element(X4,powerset(the_carrier(X0)))
| X3 != X4
| ~ closed_subset(X4,X0)
| ~ subset(X1,X3) ) )
& ( ( in(X3,powerset(the_carrier(X0)))
& ? [X4] :
( element(X4,powerset(the_carrier(X0)))
& X4 = X3
& closed_subset(X4,X0)
& subset(X1,X3) ) )
| ~ in(X3,X2) ) )
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(nnf_transformation,[],[f870]) ).
fof(f1561,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( in(X3,X2)
| ~ in(X3,powerset(the_carrier(X0)))
| ! [X4] :
( ~ element(X4,powerset(the_carrier(X0)))
| X3 != X4
| ~ closed_subset(X4,X0)
| ~ subset(X1,X3) ) )
& ( ( in(X3,powerset(the_carrier(X0)))
& ? [X4] :
( element(X4,powerset(the_carrier(X0)))
& X4 = X3
& closed_subset(X4,X0)
& subset(X1,X3) ) )
| ~ in(X3,X2) ) )
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(flattening,[],[f1560]) ).
fof(f1562,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( in(X3,X2)
| ~ in(X3,powerset(the_carrier(X0)))
| ! [X4] :
( ~ element(X4,powerset(the_carrier(X0)))
| X3 != X4
| ~ closed_subset(X4,X0)
| ~ subset(X1,X3) ) )
& ( ( in(X3,powerset(the_carrier(X0)))
& ? [X5] :
( element(X5,powerset(the_carrier(X0)))
& X3 = X5
& closed_subset(X5,X0)
& subset(X1,X3) ) )
| ~ in(X3,X2) ) )
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(rectify,[],[f1561]) ).
fof(f1563,plain,
! [X0,X1] :
( ! [X3] :
( ( in(X3,sK327(X0,X1))
| ~ in(X3,powerset(the_carrier(X0)))
| ! [X4] :
( ~ element(X4,powerset(the_carrier(X0)))
| X3 != X4
| ~ closed_subset(X4,X0)
| ~ subset(X1,X3) ) )
& ( ( in(X3,powerset(the_carrier(X0)))
& element(sK328(X0,X1,X3),powerset(the_carrier(X0)))
& sK328(X0,X1,X3) = X3
& closed_subset(sK328(X0,X1,X3),X0)
& subset(X1,X3) )
| ~ in(X3,sK327(X0,X1)) ) )
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK327,sK328]),skolemize(X2,sK327(X0,X1)),skolemize(X5,sK328(X0,X1,X3))],[f1562]) ).
fof(f1604,plain,
? [X0,X1] :
( ! [X2] :
( ~ element(X2,powerset(powerset(the_carrier(X0))))
| ? [X3] :
( ( ! [X4] :
( ~ element(X4,powerset(the_carrier(X0)))
| X3 != X4
| ~ closed_subset(X4,X0)
| ~ subset(X1,X3) )
| ~ in(X3,X2) )
& ( ? [X4] :
( element(X4,powerset(the_carrier(X0)))
& X4 = X3
& closed_subset(X4,X0)
& subset(X1,X3) )
| in(X3,X2) )
& element(X3,powerset(the_carrier(X0))) ) )
& topological_space(X0)
& top_str(X0)
& element(X1,powerset(the_carrier(X0))) ),
inference(nnf_transformation,[],[f888]) ).
fof(f1605,plain,
? [X0,X1] :
( ! [X2] :
( ~ element(X2,powerset(powerset(the_carrier(X0))))
| ? [X3] :
( ( ! [X4] :
( ~ element(X4,powerset(the_carrier(X0)))
| X3 != X4
| ~ closed_subset(X4,X0)
| ~ subset(X1,X3) )
| ~ in(X3,X2) )
& ( ? [X4] :
( element(X4,powerset(the_carrier(X0)))
& X4 = X3
& closed_subset(X4,X0)
& subset(X1,X3) )
| in(X3,X2) )
& element(X3,powerset(the_carrier(X0))) ) )
& topological_space(X0)
& top_str(X0)
& element(X1,powerset(the_carrier(X0))) ),
inference(flattening,[],[f1604]) ).
fof(f1606,plain,
? [X0,X1] :
( ! [X2] :
( ~ element(X2,powerset(powerset(the_carrier(X0))))
| ? [X3] :
( ( ! [X4] :
( ~ element(X4,powerset(the_carrier(X0)))
| X3 != X4
| ~ closed_subset(X4,X0)
| ~ subset(X1,X3) )
| ~ in(X3,X2) )
& ( ? [X5] :
( element(X5,powerset(the_carrier(X0)))
& X3 = X5
& closed_subset(X5,X0)
& subset(X1,X3) )
| in(X3,X2) )
& element(X3,powerset(the_carrier(X0))) ) )
& topological_space(X0)
& top_str(X0)
& element(X1,powerset(the_carrier(X0))) ),
inference(rectify,[],[f1605]) ).
fof(f1607,plain,
( ! [X2] :
( ~ element(X2,powerset(powerset(the_carrier(sK359))))
| ( ( ! [X4] :
( ~ element(X4,powerset(the_carrier(sK359)))
| sK361(X2) != X4
| ~ closed_subset(X4,sK359)
| ~ subset(sK360,sK361(X2)) )
| ~ in(sK361(X2),X2) )
& ( ( element(sK362(X2),powerset(the_carrier(sK359)))
& sK361(X2) = sK362(X2)
& closed_subset(sK362(X2),sK359)
& subset(sK360,sK361(X2)) )
| in(sK361(X2),X2) )
& element(sK361(X2),powerset(the_carrier(sK359))) ) )
& topological_space(sK359)
& top_str(sK359)
& element(sK360,powerset(the_carrier(sK359))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK359,sK360,sK361,sK362]),skolemize(X0,sK359),skolemize(X1,sK360),skolemize(X3,sK361(X2)),skolemize(X5,sK362(X2))],[f1606]) ).
fof(f2173,plain,
! [X0] : ~ empty(powerset(X0)),
inference(cnf_transformation,[],[f202]) ).
fof(f2318,plain,
! [X0,X1] :
( in(sK159(X0,X1),X0)
| element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f1385]) ).
fof(f2319,plain,
! [X0,X1] :
( ~ in(sK159(X0,X1),X1)
| element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f1385]) ).
fof(f2699,plain,
! [X3,X0,X1] :
( ~ element(X1,powerset(the_carrier(X0)))
| ~ in(X3,sK327(X0,X1))
| ~ topological_space(X0)
| ~ top_str(X0)
| subset(X1,X3) ),
inference(cnf_transformation,[],[f1563]) ).
fof(f2700,plain,
! [X3,X0,X1] :
( closed_subset(sK328(X0,X1,X3),X0)
| ~ in(X3,sK327(X0,X1))
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f1563]) ).
fof(f2701,plain,
! [X3,X0,X1] :
( ~ element(X1,powerset(the_carrier(X0)))
| ~ in(X3,sK327(X0,X1))
| ~ topological_space(X0)
| ~ top_str(X0)
| sK328(X0,X1,X3) = X3 ),
inference(cnf_transformation,[],[f1563]) ).
fof(f2703,plain,
! [X3,X0,X1] :
( ~ element(X1,powerset(the_carrier(X0)))
| ~ in(X3,sK327(X0,X1))
| ~ topological_space(X0)
| ~ top_str(X0)
| in(X3,powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f1563]) ).
fof(f2704,plain,
! [X3,X0,X1,X4] :
( in(X3,sK327(X0,X1))
| ~ in(X3,powerset(the_carrier(X0)))
| ~ element(X4,powerset(the_carrier(X0)))
| X3 != X4
| ~ closed_subset(X4,X0)
| ~ subset(X1,X3)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f1563]) ).
fof(f2772,plain,
element(sK360,powerset(the_carrier(sK359))),
inference(cnf_transformation,[],[f1607]) ).
fof(f2773,plain,
top_str(sK359),
inference(cnf_transformation,[],[f1607]) ).
fof(f2774,plain,
topological_space(sK359),
inference(cnf_transformation,[],[f1607]) ).
fof(f2775,plain,
! [X2] :
( ~ element(X2,powerset(powerset(the_carrier(sK359))))
| element(sK361(X2),powerset(the_carrier(sK359))) ),
inference(cnf_transformation,[],[f1607]) ).
fof(f2776,plain,
! [X2] :
( ~ element(X2,powerset(powerset(the_carrier(sK359))))
| subset(sK360,sK361(X2))
| in(sK361(X2),X2) ),
inference(cnf_transformation,[],[f1607]) ).
fof(f2777,plain,
! [X2] :
( ~ element(X2,powerset(powerset(the_carrier(sK359))))
| closed_subset(sK362(X2),sK359)
| in(sK361(X2),X2) ),
inference(cnf_transformation,[],[f1607]) ).
fof(f2778,plain,
! [X2] :
( ~ element(X2,powerset(powerset(the_carrier(sK359))))
| sK361(X2) = sK362(X2)
| in(sK361(X2),X2) ),
inference(cnf_transformation,[],[f1607]) ).
fof(f2780,plain,
! [X2,X4] :
( ~ element(X2,powerset(powerset(the_carrier(sK359))))
| ~ element(X4,powerset(the_carrier(sK359)))
| sK361(X2) != X4
| ~ closed_subset(X4,sK359)
| ~ subset(sK360,sK361(X2))
| ~ in(sK361(X2),X2) ),
inference(cnf_transformation,[],[f1607]) ).
fof(f2847,plain,
! [X0,X1] :
( ~ in(X0,X1)
| element(X0,X1) ),
inference(cnf_transformation,[],[f945]) ).
fof(f2894,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f989]) ).
fof(f3592,plain,
! [X0,X1,X4] :
( in(X4,sK327(X0,X1))
| ~ in(X4,powerset(the_carrier(X0)))
| ~ element(X4,powerset(the_carrier(X0)))
| ~ closed_subset(X4,X0)
| ~ subset(X1,X4)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(equality_resolution,[],[f2704]) ).
fof(f3602,plain,
! [X2] :
( ~ element(X2,powerset(powerset(the_carrier(sK359))))
| ~ element(sK361(X2),powerset(the_carrier(sK359)))
| ~ closed_subset(sK361(X2),sK359)
| ~ subset(sK360,sK361(X2))
| ~ in(sK361(X2),X2) ),
inference(equality_resolution,[],[f2780]) ).
fof(f3625,definition,
sF393 = the_carrier(sK359),
introduced(definition,[new_symbols(definition,[sF393])],[function_definition]) ).
fof(f3626,plain,
the_carrier(sK359) = sF393,
inference(reorient_equations,[],[f3625]) ).
fof(f3627,definition,
sF394 = powerset(sF393),
introduced(definition,[new_symbols(definition,[sF394])],[function_definition]) ).
fof(f3628,plain,
powerset(sF393) = sF394,
inference(reorient_equations,[],[f3627]) ).
fof(f3629,definition,
sF395 = powerset(sF394),
introduced(definition,[new_symbols(definition,[sF395])],[function_definition]) ).
fof(f3630,plain,
powerset(sF394) = sF395,
inference(reorient_equations,[],[f3629]) ).
fof(f3631,plain,
! [X2] :
( ~ element(X2,sF395)
| ~ element(sK361(X2),sF394)
| ~ closed_subset(sK361(X2),sK359)
| ~ subset(sK360,sK361(X2))
| ~ in(sK361(X2),X2) ),
inference(definition_folding,[],[f3602,f3628,f3626,f3630,f3628,f3626]) ).
fof(f3633,plain,
! [X2] :
( in(sK361(X2),X2)
| sK361(X2) = sK362(X2)
| ~ element(X2,sF395) ),
inference(definition_folding,[],[f2778,f3630,f3628,f3626]) ).
fof(f3634,plain,
! [X2] :
( closed_subset(sK362(X2),sK359)
| in(sK361(X2),X2)
| ~ element(X2,sF395) ),
inference(definition_folding,[],[f2777,f3630,f3628,f3626]) ).
fof(f3635,plain,
! [X2] :
( subset(sK360,sK361(X2))
| in(sK361(X2),X2)
| ~ element(X2,sF395) ),
inference(definition_folding,[],[f2776,f3630,f3628,f3626]) ).
fof(f3636,plain,
! [X2] :
( element(sK361(X2),sF394)
| ~ element(X2,sF395) ),
inference(definition_folding,[],[f2775,f3628,f3626,f3630,f3628,f3626]) ).
fof(f3637,plain,
element(sK360,sF394),
inference(definition_folding,[],[f2772,f3628,f3626]) ).
fof(f3651,plain,
! [X2] :
( ~ closed_subset(sK361(X2),sK359)
| ~ element(X2,sF395)
| ~ subset(sK360,sK361(X2))
| ~ in(sK361(X2),X2) ),
inference(forward_subsumption_resolution,[],[f3631,f3636]) ).
fof(f3687,plain,
! [X0,X1,X4] :
( ~ element(X1,powerset(the_carrier(X0)))
| ~ in(X4,powerset(the_carrier(X0)))
| ~ closed_subset(X4,X0)
| ~ subset(X1,X4)
| ~ topological_space(X0)
| ~ top_str(X0)
| in(X4,sK327(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f3592,f2847]) ).
fof(f3943,plain,
! [X0,X1] :
( ~ element(X0,powerset(sF393))
| ~ in(X1,powerset(sF393))
| ~ closed_subset(X1,sK359)
| ~ subset(X0,X1)
| ~ topological_space(sK359)
| ~ top_str(sK359)
| in(X1,sK327(sK359,X0)) ),
inference(superposition,[],[f3687,f3626]) ).
fof(f3945,plain,
! [X0,X1] :
( ~ element(X0,powerset(sF393))
| ~ in(X1,powerset(sF393))
| ~ closed_subset(X1,sK359)
| ~ subset(X0,X1)
| ~ top_str(sK359)
| in(X1,sK327(sK359,X0)) ),
inference(forward_subsumption_resolution,[],[f3943,f2774]) ).
fof(f3946,plain,
! [X0,X1] :
( ~ element(X0,powerset(sF393))
| ~ in(X1,powerset(sF393))
| ~ closed_subset(X1,sK359)
| ~ subset(X0,X1)
| in(X1,sK327(sK359,X0)) ),
inference(forward_subsumption_resolution,[],[f3945,f2773]) ).
fof(f3947,plain,
! [X0,X1] :
( ~ element(X0,sF394)
| ~ in(X1,powerset(sF393))
| ~ closed_subset(X1,sK359)
| ~ subset(X0,X1)
| in(X1,sK327(sK359,X0)) ),
inference(forward_demodulation,[],[f3946,f3628]) ).
fof(f3948,plain,
! [X0,X1] :
( in(X1,sK327(sK359,X0))
| ~ element(X0,sF394)
| ~ closed_subset(X1,sK359)
| ~ subset(X0,X1)
| ~ in(X1,sF394) ),
inference(forward_demodulation,[],[f3947,f3628]) ).
fof(f4004,plain,
! [X0,X1] :
( ~ element(X0,powerset(sF393))
| ~ in(X1,sK327(sK359,X0))
| ~ topological_space(sK359)
| ~ top_str(sK359)
| in(X1,powerset(sF393)) ),
inference(superposition,[],[f2703,f3626]) ).
fof(f4006,plain,
! [X0,X1] :
( ~ element(X0,powerset(sF393))
| ~ in(X1,sK327(sK359,X0))
| ~ top_str(sK359)
| in(X1,powerset(sF393)) ),
inference(forward_subsumption_resolution,[],[f4004,f2774]) ).
fof(f4007,plain,
! [X0,X1] :
( ~ element(X0,powerset(sF393))
| ~ in(X1,sK327(sK359,X0))
| in(X1,powerset(sF393)) ),
inference(forward_subsumption_resolution,[],[f4006,f2773]) ).
fof(f4008,plain,
! [X0,X1] :
( ~ element(X0,sF394)
| ~ in(X1,sK327(sK359,X0))
| in(X1,powerset(sF393)) ),
inference(forward_demodulation,[],[f4007,f3628]) ).
fof(f4009,plain,
! [X0,X1] :
( ~ in(X1,sK327(sK359,X0))
| ~ element(X0,sF394)
| in(X1,sF394) ),
inference(forward_demodulation,[],[f4008,f3628]) ).
fof(f4017,plain,
! [X0,X1] :
( in(sK159(sK327(sK359,X0),X1),sF394)
| ~ element(X0,sF394)
| element(sK327(sK359,X0),powerset(X1)) ),
inference(resolution,[],[f2318,f4009]) ).
fof(f4115,plain,
~ empty(sF394),
inference(superposition,[],[f2173,f3628]) ).
fof(f4121,plain,
! [X0,X1] :
( ~ element(X0,powerset(sF393))
| ~ in(X1,sK327(sK359,X0))
| ~ topological_space(sK359)
| ~ top_str(sK359)
| subset(X0,X1) ),
inference(superposition,[],[f2699,f3626]) ).
fof(f4123,plain,
! [X0,X1] :
( ~ element(X0,powerset(sF393))
| ~ in(X1,sK327(sK359,X0))
| ~ top_str(sK359)
| subset(X0,X1) ),
inference(forward_subsumption_resolution,[],[f4121,f2774]) ).
fof(f4124,plain,
! [X0,X1] :
( ~ element(X0,powerset(sF393))
| ~ in(X1,sK327(sK359,X0))
| subset(X0,X1) ),
inference(forward_subsumption_resolution,[],[f4123,f2773]) ).
fof(f4125,plain,
! [X0,X1] :
( ~ in(X1,sK327(sK359,X0))
| ~ element(X0,sF394)
| subset(X0,X1) ),
inference(forward_demodulation,[],[f4124,f3628]) ).
fof(f4131,plain,
! [X0] :
( subset(sK360,sK361(sK327(sK359,X0)))
| subset(X0,sK361(sK327(sK359,X0)))
| ~ element(X0,sF394)
| ~ element(sK327(sK359,X0),sF395) ),
inference(resolution,[],[f4125,f3635]) ).
fof(f4227,plain,
! [X0] :
( ~ element(X0,sF394)
| element(sK327(sK359,X0),powerset(sF394))
| element(sK327(sK359,X0),powerset(sF394)) ),
inference(resolution,[],[f4017,f2319]) ).
fof(f4228,plain,
! [X0] :
( ~ element(X0,sF394)
| element(sK327(sK359,X0),powerset(sF394)) ),
inference(duplicate_literal_removal,[],[f4227]) ).
fof(f4229,plain,
! [X0] :
( element(sK327(sK359,X0),sF395)
| ~ element(X0,sF394) ),
inference(forward_demodulation,[],[f4228,f3630]) ).
fof(f4545,plain,
( subset(sK360,sK361(sK327(sK359,sK360)))
| ~ element(sK360,sF394)
| ~ element(sK327(sK359,sK360),sF395) ),
inference(factoring,[],[f4131]) ).
fof(f4546,plain,
( subset(sK360,sK361(sK327(sK359,sK360)))
| ~ element(sK327(sK359,sK360),sF395) ),
inference(forward_subsumption_resolution,[],[f4545,f3637]) ).
fof(f4548,definition,
( spl396_68
<=> element(sK327(sK359,sK360),sF395) ),
introduced(definition,[new_symbols(definition,[spl396_68])],[avatar_definition]) ).
fof(f4549,plain,
( element(sK327(sK359,sK360),sF395)
| ~ spl396_68 ),
inference(avatar_component_clause,[],[f4548]) ).
fof(f4550,plain,
( ~ element(sK327(sK359,sK360),sF395)
| spl396_68 ),
inference(avatar_component_clause,[],[f4548]) ).
fof(f4552,definition,
( spl396_69
<=> subset(sK360,sK361(sK327(sK359,sK360))) ),
introduced(definition,[new_symbols(definition,[spl396_69])],[avatar_definition]) ).
fof(f4554,plain,
( subset(sK360,sK361(sK327(sK359,sK360)))
| ~ spl396_69 ),
inference(avatar_component_clause,[],[f4552]) ).
fof(f4555,plain,
( ~ spl396_68
| spl396_69 ),
inference(avatar_split_clause,[],[f4546,f4552,f4548]) ).
fof(f4556,plain,
( ~ element(sK360,sF394)
| spl396_68 ),
inference(resolution,[],[f4550,f4229]) ).
fof(f4557,plain,
( $false
| spl396_68 ),
inference(forward_subsumption_resolution,[],[f4556,f3637]) ).
fof(f4558,plain,
spl396_68,
inference(avatar_contradiction_clause,[],[f4557]) ).
fof(f4824,plain,
! [X0,X1] :
( ~ element(X0,powerset(sF393))
| ~ in(X1,sK327(sK359,X0))
| ~ topological_space(sK359)
| ~ top_str(sK359)
| sK328(sK359,X0,X1) = X1 ),
inference(superposition,[],[f2701,f3626]) ).
fof(f4828,plain,
! [X0,X1] :
( ~ element(X0,powerset(sF393))
| ~ in(X1,sK327(sK359,X0))
| ~ top_str(sK359)
| sK328(sK359,X0,X1) = X1 ),
inference(forward_subsumption_resolution,[],[f4824,f2774]) ).
fof(f4829,plain,
! [X0,X1] :
( ~ element(X0,powerset(sF393))
| ~ in(X1,sK327(sK359,X0))
| sK328(sK359,X0,X1) = X1 ),
inference(forward_subsumption_resolution,[],[f4828,f2773]) ).
fof(f4830,plain,
! [X0,X1] :
( ~ in(X1,sK327(sK359,X0))
| ~ element(X0,sF394)
| sK328(sK359,X0,X1) = X1 ),
inference(forward_demodulation,[],[f4829,f3628]) ).
fof(f4834,plain,
! [X0] :
( ~ element(X0,sF394)
| sK361(sK327(sK359,X0)) = sK328(sK359,X0,sK361(sK327(sK359,X0)))
| sK361(sK327(sK359,X0)) = sK362(sK327(sK359,X0))
| ~ element(sK327(sK359,X0),sF395) ),
inference(resolution,[],[f4830,f3633]) ).
fof(f4835,plain,
! [X0] :
( ~ element(X0,sF394)
| sK361(sK327(sK359,X0)) = sK328(sK359,X0,sK361(sK327(sK359,X0)))
| closed_subset(sK362(sK327(sK359,X0)),sK359)
| ~ element(sK327(sK359,X0),sF395) ),
inference(resolution,[],[f4830,f3634]) ).
fof(f4843,plain,
! [X0] :
( closed_subset(sK362(sK327(sK359,X0)),sK359)
| sK361(sK327(sK359,X0)) = sK328(sK359,X0,sK361(sK327(sK359,X0)))
| ~ element(X0,sF394) ),
inference(forward_subsumption_resolution,[],[f4835,f4229]) ).
fof(f4844,plain,
! [X0] :
( ~ element(X0,sF394)
| sK361(sK327(sK359,X0)) = sK328(sK359,X0,sK361(sK327(sK359,X0)))
| sK361(sK327(sK359,X0)) = sK362(sK327(sK359,X0)) ),
inference(forward_subsumption_resolution,[],[f4834,f4229]) ).
fof(f4866,plain,
( sK361(sK327(sK359,sK360)) = sK328(sK359,sK360,sK361(sK327(sK359,sK360)))
| sK361(sK327(sK359,sK360)) = sK362(sK327(sK359,sK360)) ),
inference(resolution,[],[f4844,f3637]) ).
fof(f4882,definition,
( spl396_72
<=> sK361(sK327(sK359,sK360)) = sK362(sK327(sK359,sK360)) ),
introduced(definition,[new_symbols(definition,[spl396_72])],[avatar_definition]) ).
fof(f4883,plain,
( sK361(sK327(sK359,sK360)) != sK362(sK327(sK359,sK360))
| spl396_72 ),
inference(avatar_component_clause,[],[f4882]) ).
fof(f4884,plain,
( sK361(sK327(sK359,sK360)) = sK362(sK327(sK359,sK360))
| ~ spl396_72 ),
inference(avatar_component_clause,[],[f4882]) ).
fof(f4886,definition,
( spl396_73
<=> sK361(sK327(sK359,sK360)) = sK328(sK359,sK360,sK361(sK327(sK359,sK360))) ),
introduced(definition,[new_symbols(definition,[spl396_73])],[avatar_definition]) ).
fof(f4888,plain,
( sK361(sK327(sK359,sK360)) = sK328(sK359,sK360,sK361(sK327(sK359,sK360)))
| ~ spl396_73 ),
inference(avatar_component_clause,[],[f4886]) ).
fof(f4889,plain,
( spl396_72
| spl396_73 ),
inference(avatar_split_clause,[],[f4866,f4886,f4882]) ).
fof(f5248,plain,
( closed_subset(sK361(sK327(sK359,sK360)),sK359)
| sK361(sK327(sK359,sK360)) = sK328(sK359,sK360,sK361(sK327(sK359,sK360)))
| ~ element(sK360,sF394)
| ~ spl396_72 ),
inference(superposition,[],[f4843,f4884]) ).
fof(f5249,plain,
( closed_subset(sK361(sK327(sK359,sK360)),sK359)
| sK361(sK327(sK359,sK360)) = sK328(sK359,sK360,sK361(sK327(sK359,sK360)))
| ~ spl396_72 ),
inference(forward_subsumption_resolution,[],[f5248,f3637]) ).
fof(f5251,definition,
( spl396_82
<=> closed_subset(sK361(sK327(sK359,sK360)),sK359) ),
introduced(definition,[new_symbols(definition,[spl396_82])],[avatar_definition]) ).
fof(f5252,plain,
( ~ closed_subset(sK361(sK327(sK359,sK360)),sK359)
| spl396_82 ),
inference(avatar_component_clause,[],[f5251]) ).
fof(f5253,plain,
( closed_subset(sK361(sK327(sK359,sK360)),sK359)
| ~ spl396_82 ),
inference(avatar_component_clause,[],[f5251]) ).
fof(f5254,plain,
( spl396_73
| spl396_82
| ~ spl396_72 ),
inference(avatar_split_clause,[],[f5249,f4882,f5251,f4886]) ).
fof(f5261,definition,
( spl396_83
<=> in(sK361(sK327(sK359,sK360)),sK327(sK359,sK360)) ),
introduced(definition,[new_symbols(definition,[spl396_83])],[avatar_definition]) ).
fof(f5262,plain,
( in(sK361(sK327(sK359,sK360)),sK327(sK359,sK360))
| ~ spl396_83 ),
inference(avatar_component_clause,[],[f5261]) ).
fof(f5263,plain,
( ~ in(sK361(sK327(sK359,sK360)),sK327(sK359,sK360))
| spl396_83 ),
inference(avatar_component_clause,[],[f5261]) ).
fof(f5265,definition,
( spl396_84
<=> element(sK361(sK327(sK359,sK360)),sF394) ),
introduced(definition,[new_symbols(definition,[spl396_84])],[avatar_definition]) ).
fof(f5266,plain,
( ~ element(sK361(sK327(sK359,sK360)),sF394)
| spl396_84 ),
inference(avatar_component_clause,[],[f5265]) ).
fof(f5267,plain,
( element(sK361(sK327(sK359,sK360)),sF394)
| ~ spl396_84 ),
inference(avatar_component_clause,[],[f5265]) ).
fof(f5276,plain,
( closed_subset(sK362(sK327(sK359,sK360)),sK359)
| ~ element(sK327(sK359,sK360),sF395)
| spl396_83 ),
inference(resolution,[],[f5263,f3634]) ).
fof(f5279,plain,
( ~ element(sK360,sF394)
| ~ closed_subset(sK361(sK327(sK359,sK360)),sK359)
| ~ subset(sK360,sK361(sK327(sK359,sK360)))
| ~ in(sK361(sK327(sK359,sK360)),sF394)
| spl396_83 ),
inference(resolution,[],[f5263,f3948]) ).
fof(f5280,plain,
( ~ closed_subset(sK361(sK327(sK359,sK360)),sK359)
| ~ subset(sK360,sK361(sK327(sK359,sK360)))
| ~ in(sK361(sK327(sK359,sK360)),sF394)
| spl396_83 ),
inference(forward_subsumption_resolution,[],[f5279,f3637]) ).
fof(f5282,plain,
( closed_subset(sK362(sK327(sK359,sK360)),sK359)
| ~ spl396_68
| spl396_83 ),
inference(forward_subsumption_resolution,[],[f5276,f4549]) ).
fof(f5283,plain,
( ~ closed_subset(sK361(sK327(sK359,sK360)),sK359)
| ~ in(sK361(sK327(sK359,sK360)),sF394)
| ~ spl396_69
| spl396_83 ),
inference(forward_subsumption_resolution,[],[f5280,f4554]) ).
fof(f5285,plain,
( closed_subset(sK361(sK327(sK359,sK360)),sK359)
| ~ spl396_68
| ~ spl396_72
| spl396_83 ),
inference(forward_demodulation,[],[f5282,f4884]) ).
fof(f5287,definition,
( spl396_85
<=> in(sK361(sK327(sK359,sK360)),sF394) ),
introduced(definition,[new_symbols(definition,[spl396_85])],[avatar_definition]) ).
fof(f5290,plain,
( ~ spl396_85
| ~ spl396_82
| ~ spl396_69
| spl396_83 ),
inference(avatar_split_clause,[],[f5283,f5261,f4552,f5251,f5287]) ).
fof(f5292,plain,
( spl396_82
| ~ spl396_68
| ~ spl396_72
| spl396_83 ),
inference(avatar_split_clause,[],[f5285,f5261,f4882,f4548,f5251]) ).
fof(f5306,plain,
( in(sK361(sK327(sK359,sK360)),sF394)
| empty(sF394)
| ~ spl396_84 ),
inference(resolution,[],[f5267,f2894]) ).
fof(f5307,plain,
( in(sK361(sK327(sK359,sK360)),sF394)
| ~ spl396_84 ),
inference(forward_subsumption_resolution,[],[f5306,f4115]) ).
fof(f5319,plain,
( spl396_85
| ~ spl396_84 ),
inference(avatar_split_clause,[],[f5307,f5265,f5287]) ).
fof(f5698,plain,
( ~ element(sK327(sK359,sK360),sF395)
| spl396_84 ),
inference(resolution,[],[f5266,f3636]) ).
fof(f5699,plain,
( $false
| ~ spl396_68
| spl396_84 ),
inference(forward_subsumption_resolution,[],[f5698,f4549]) ).
fof(f5700,plain,
( ~ spl396_68
| spl396_84 ),
inference(avatar_contradiction_clause,[],[f5699]) ).
fof(f5774,plain,
( sK361(sK327(sK359,sK360)) = sK362(sK327(sK359,sK360))
| ~ element(sK327(sK359,sK360),sF395)
| spl396_83 ),
inference(resolution,[],[f5263,f3633]) ).
fof(f5779,plain,
( ~ element(sK327(sK359,sK360),sF395)
| spl396_72
| spl396_83 ),
inference(forward_subsumption_resolution,[],[f5774,f4883]) ).
fof(f5780,plain,
( $false
| ~ spl396_68
| spl396_72
| spl396_83 ),
inference(forward_subsumption_resolution,[],[f5779,f4549]) ).
fof(f5781,plain,
( ~ spl396_68
| spl396_72
| spl396_83 ),
inference(avatar_contradiction_clause,[],[f5780]) ).
fof(f6227,plain,
( closed_subset(sK361(sK327(sK359,sK360)),sK359)
| ~ in(sK361(sK327(sK359,sK360)),sK327(sK359,sK360))
| ~ topological_space(sK359)
| ~ top_str(sK359)
| ~ element(sK360,powerset(the_carrier(sK359)))
| ~ spl396_73 ),
inference(superposition,[],[f2700,f4888]) ).
fof(f6229,plain,
( ~ in(sK361(sK327(sK359,sK360)),sK327(sK359,sK360))
| ~ topological_space(sK359)
| ~ top_str(sK359)
| ~ element(sK360,powerset(the_carrier(sK359)))
| ~ spl396_73
| spl396_82 ),
inference(forward_subsumption_resolution,[],[f6227,f5252]) ).
fof(f6233,plain,
( ~ topological_space(sK359)
| ~ top_str(sK359)
| ~ element(sK360,powerset(the_carrier(sK359)))
| ~ spl396_73
| spl396_82
| ~ spl396_83 ),
inference(forward_subsumption_resolution,[],[f6229,f5262]) ).
fof(f6237,plain,
( ~ top_str(sK359)
| ~ element(sK360,powerset(the_carrier(sK359)))
| ~ spl396_73
| spl396_82
| ~ spl396_83 ),
inference(forward_subsumption_resolution,[],[f6233,f2774]) ).
fof(f6241,plain,
( ~ element(sK360,powerset(the_carrier(sK359)))
| ~ spl396_73
| spl396_82
| ~ spl396_83 ),
inference(forward_subsumption_resolution,[],[f6237,f2773]) ).
fof(f6245,plain,
( ~ element(sK360,powerset(sF393))
| ~ spl396_73
| spl396_82
| ~ spl396_83 ),
inference(forward_demodulation,[],[f6241,f3626]) ).
fof(f6249,plain,
( ~ element(sK360,sF394)
| ~ spl396_73
| spl396_82
| ~ spl396_83 ),
inference(forward_demodulation,[],[f6245,f3628]) ).
fof(f6250,plain,
( $false
| ~ spl396_73
| spl396_82
| ~ spl396_83 ),
inference(forward_subsumption_resolution,[],[f6249,f3637]) ).
fof(f6251,plain,
( ~ spl396_73
| spl396_82
| ~ spl396_83 ),
inference(avatar_contradiction_clause,[],[f6250]) ).
fof(f6252,plain,
( ~ element(sK327(sK359,sK360),sF395)
| ~ subset(sK360,sK361(sK327(sK359,sK360)))
| ~ in(sK361(sK327(sK359,sK360)),sK327(sK359,sK360))
| ~ spl396_82 ),
inference(resolution,[],[f5253,f3651]) ).
fof(f6259,plain,
( ~ subset(sK360,sK361(sK327(sK359,sK360)))
| ~ in(sK361(sK327(sK359,sK360)),sK327(sK359,sK360))
| ~ spl396_68
| ~ spl396_82 ),
inference(forward_subsumption_resolution,[],[f6252,f4549]) ).
fof(f6260,plain,
( ~ in(sK361(sK327(sK359,sK360)),sK327(sK359,sK360))
| ~ spl396_68
| ~ spl396_69
| ~ spl396_82 ),
inference(forward_subsumption_resolution,[],[f6259,f4554]) ).
fof(f6261,plain,
( $false
| ~ spl396_68
| ~ spl396_69
| ~ spl396_82
| ~ spl396_83 ),
inference(forward_subsumption_resolution,[],[f6260,f5262]) ).
fof(f6262,plain,
( ~ spl396_68
| ~ spl396_69
| ~ spl396_82
| ~ spl396_83 ),
inference(avatar_contradiction_clause,[],[f6261]) ).
cnf(s52,plain,
( ~ spl396_68
| spl396_69 ),
inference(sat_conversion,[],[f4555]) ).
cnf(s53,plain,
spl396_68,
inference(sat_conversion,[],[f4558]) ).
cnf(s55,plain,
( spl396_72
| spl396_73 ),
inference(sat_conversion,[],[f4889]) ).
cnf(s60,plain,
( ~ spl396_72
| spl396_73
| spl396_82 ),
inference(sat_conversion,[],[f5254]) ).
cnf(s63,plain,
( ~ spl396_69
| ~ spl396_82
| spl396_83
| ~ spl396_85 ),
inference(sat_conversion,[],[f5290]) ).
cnf(s65,plain,
( ~ spl396_68
| ~ spl396_72
| spl396_82
| spl396_83 ),
inference(sat_conversion,[],[f5292]) ).
cnf(s67,plain,
( ~ spl396_84
| spl396_85 ),
inference(sat_conversion,[],[f5319]) ).
cnf(s91,plain,
( ~ spl396_68
| spl396_84 ),
inference(sat_conversion,[],[f5700]) ).
cnf(s96,plain,
( ~ spl396_68
| spl396_72
| spl396_83 ),
inference(sat_conversion,[],[f5781]) ).
cnf(s103,plain,
( ~ spl396_73
| spl396_82
| ~ spl396_83 ),
inference(sat_conversion,[],[f6251]) ).
cnf(s104,plain,
( ~ spl396_68
| ~ spl396_69
| ~ spl396_82
| ~ spl396_83 ),
inference(sat_conversion,[],[f6262]) ).
cnf(s105,plain,
spl396_84,
inference(rat,[],[s91,s53]) ).
cnf(s107,plain,
spl396_85,
inference(rat,[],[s67,s105]) ).
cnf(s110,plain,
spl396_69,
inference(rat,[],[s52,s53]) ).
cnf(s111,plain,
spl396_72,
inference(rat,[],[s103,s104,s55,s96,s53,s110]) ).
cnf(s113,plain,
~ spl396_82,
inference(rat,[],[s104,s63,s53,s110,s107]) ).
cnf(s114,plain,
spl396_83,
inference(rat,[],[s65,s111,s53,s113]) ).
cnf(s115,plain,
spl396_73,
inference(rat,[],[s60,s111,s113]) ).
cnf(s116,plain,
$false,
inference(rat,[],[s103,s115,s113,s114]) ).
fof(f6263,plain,
$false,
inference(avatar_sat_refutation,[],[s116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU315+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n019.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 04:39:34 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 11.64/2.56 % (3663390)Detected formulas, will run a generic FOF schedule.
% 11.64/2.56 % (3663400)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3585432099:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.64/2.56 % (3663398)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3102749125:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.64/2.56 % (3663396)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=4237554146:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.64/2.56 % (3663395)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=463664003:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.64/2.56 % (3663397)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=3018679338:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.64/2.56 % (3663399)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=661828054:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.64/2.56 % (3663400)Instruction limit reached!
% 11.64/2.56 % (3663400)------------------------------
% 11.64/2.56 % (3663400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.64/2.56 % (3663400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.64/2.56 % (3663400)CaDiCaL version: 2.1.3
% 11.64/2.56 % (3663400)Termination reason: Instruction limit
% 11.64/2.56 % (3663400)Termination phase: Saturation
% 11.64/2.56 % (3663400)Time elapsed: 0.052 s
% 11.64/2.56 % (3663400)Peak memory usage: 91 MB
% 11.64/2.56 % (3663400)Instructions burned: 141 (million)
% 11.64/2.56 % (3663401)dis-21_1_sil=8000:lcm=predicate:random_seed=158207079: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)
% 11.64/2.56 % (3663398)Instruction limit reached!
% 11.64/2.56 % (3663398)------------------------------
% 11.64/2.56 % (3663398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.64/2.56 % (3663398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.64/2.56 % (3663398)CaDiCaL version: 2.1.3
% 11.64/2.56 % (3663398)Termination reason: Instruction limit
% 11.64/2.56 % (3663398)Termination phase: Saturation
% 11.64/2.56 % (3663398)Time elapsed: 0.062 s
% 11.64/2.56 % (3663398)Peak memory usage: 91 MB
% 11.64/2.56 % (3663398)Instructions burned: 110 (million)
% 11.64/2.56 % (3663399)Instruction limit reached!
% 11.64/2.56 % (3663399)------------------------------
% 11.64/2.56 % (3663399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.64/2.56 % (3663399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.64/2.56 % (3663399)CaDiCaL version: 2.1.3
% 11.64/2.56 % (3663399)Termination reason: Instruction limit
% 11.64/2.56 % (3663399)Termination phase: Saturation
% 11.64/2.56 % (3663399)Time elapsed: 0.072 s
% 11.64/2.56 % (3663399)Peak memory usage: 90 MB
% 11.64/2.56 % (3663399)Instructions burned: 119 (million)
% 11.64/2.56 % (3663401)Instruction limit reached!
% 11.64/2.56 % (3663401)------------------------------
% 11.64/2.56 % (3663401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.64/2.56 % (3663401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.64/2.56 % (3663401)CaDiCaL version: 2.1.3
% 11.64/2.56 % (3663401)Termination reason: Instruction limit
% 11.64/2.56 % (3663401)Termination phase: Saturation
% 11.64/2.56 % (3663401)Time elapsed: 0.065 s
% 11.64/2.56 % (3663401)Peak memory usage: 90 MB
% 11.64/2.56 % (3663401)Instructions burned: 129 (million)
% 11.64/2.56 % (3663408)lrs+10_1_sil=8000:sp=occurrence:random_seed=140451456:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 11.64/2.56 % (3663410)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3106993725:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.64/2.56 % (3663408)Instruction limit reached!
% 11.64/2.56 % (3663408)------------------------------
% 11.64/2.56 % (3663408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.64/2.56 % (3663408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.64/2.56 % (3663408)CaDiCaL version: 2.1.3
% 11.64/2.56 % (3663408)Termination reason: Instruction limit
% 11.64/2.56 % (3663408)Termination phase: Saturation
% 12.14/2.64 % (3663408)Time elapsed: 0.101 s
% 12.14/2.64 % (3663408)Peak memory usage: 94 MB
% 12.14/2.64 % (3663408)Instructions burned: 286 (million)
% 12.14/2.64 % (3663412)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=4130476056:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 12.14/2.64 % (3663411)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3578237355:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 12.14/2.64 % (3663410)Instruction limit reached!
% 12.14/2.64 % (3663410)------------------------------
% 12.14/2.64 % (3663410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.14/2.64 % (3663410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.14/2.64 % (3663410)CaDiCaL version: 2.1.3
% 12.14/2.64 % (3663410)Termination reason: Instruction limit
% 12.14/2.64 % (3663410)Termination phase: Saturation
% 12.14/2.64 % (3663410)Time elapsed: 0.089 s
% 12.14/2.64 % (3663410)Peak memory usage: 90 MB
% 12.14/2.64 % (3663410)Instructions burned: 157 (million)
% 12.14/2.64 % (3663417)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3267833387:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 12.14/2.64 % (3663412)Instruction limit reached!
% 12.14/2.64 % (3663412)------------------------------
% 12.14/2.64 % (3663412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.14/2.64 % (3663412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.14/2.64 % (3663412)CaDiCaL version: 2.1.3
% 12.14/2.64 % (3663412)Termination reason: Instruction limit
% 12.14/2.64 % (3663412)Termination phase: Saturation
% 12.14/2.64 % (3663412)Time elapsed: 0.144 s
% 12.14/2.64 % (3663412)Peak memory usage: 93 MB
% 12.14/2.64 % (3663412)Instructions burned: 248 (million)
% 12.14/2.64 % (3663417)Instruction limit reached!
% 12.14/2.64 % (3663417)------------------------------
% 12.14/2.64 % (3663417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.14/2.64 % (3663417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.14/2.64 % (3663417)CaDiCaL version: 2.1.3
% 12.14/2.64 % (3663417)Termination reason: Instruction limit
% 12.14/2.64 % (3663417)Termination phase: Saturation
% 12.14/2.64 % (3663417)Time elapsed: 0.099 s
% 12.14/2.64 % (3663417)Peak memory usage: 92 MB
% 12.14/2.64 % (3663417)Instructions burned: 294 (million)
% 12.14/2.64 % (3663411)Instruction limit reached!
% 12.14/2.64 % (3663411)------------------------------
% 12.14/2.64 % (3663411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.14/2.64 % (3663411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.14/2.64 % (3663411)CaDiCaL version: 2.1.3
% 12.14/2.64 % (3663411)Termination reason: Instruction limit
% 12.14/2.64 % (3663411)Termination phase: Saturation
% 12.14/2.64 % (3663411)Time elapsed: 0.229 s
% 12.14/2.64 % (3663411)Peak memory usage: 94 MB
% 12.14/2.64 % (3663411)Instructions burned: 325 (million)
% 12.14/2.64 % (3663418)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3369805616:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 12.14/2.64 % (3663420)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3512352896:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 12.14/2.64 % (3663421)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3254760830:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 12.14/2.64 % (3663420)Instruction limit reached!
% 12.14/2.64 % (3663420)------------------------------
% 12.14/2.64 % (3663420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.14/2.64 % (3663420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.14/2.64 % (3663420)CaDiCaL version: 2.1.3
% 12.14/2.64 % (3663420)Termination reason: Instruction limit
% 12.14/2.64 % (3663420)Termination phase: Saturation
% 12.14/2.64 % (3663420)Time elapsed: 0.069 s
% 12.14/2.64 % (3663420)Peak memory usage: 91 MB
% 12.14/2.64 % (3663420)Instructions burned: 113 (million)
% 12.14/2.64 % (3663421)Instruction limit reached!
% 12.14/2.64 % (3663421)------------------------------
% 12.14/2.64 % (3663421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.14/2.64 % (3663421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.14/2.64 % (3663421)CaDiCaL version: 2.1.3
% 12.14/2.64 % (3663421)Termination reason: Instruction limit
% 12.14/2.64 % (3663421)Termination phase: Saturation
% 12.14/2.64 % (3663421)Time elapsed: 0.039 s
% 12.14/2.64 % (3663421)Peak memory usage: 91 MB
% 12.14/2.64 % (3663421)Instructions burned: 129 (million)
% 12.14/2.64 % (3663422)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2479558255:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 12.14/2.64 % (3663422)Instruction limit reached!
% 12.14/2.64 % (3663422)------------------------------
% 12.14/2.64 % (3663422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.14/2.64 % (3663422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.14/2.64 % (3663422)CaDiCaL version: 2.1.3
% 12.14/2.64 % (3663422)Termination reason: Instruction limit
% 12.14/2.64 % (3663422)Termination phase: Saturation
% 12.14/2.64 % (3663422)Time elapsed: 0.058 s
% 12.14/2.64 % (3663422)Peak memory usage: 90 MB
% 12.14/2.64 % (3663422)Instructions burned: 115 (million)
% 12.14/2.64 % (3663427)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2786306808:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 12.14/2.64 % (3663426)lrs+10_1_sil=8000:sp=occurrence:random_seed=1964820372:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 12.14/2.64 % (3663429)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1217908458:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 12.14/2.64 % (3663427)Instruction limit reached!
% 12.14/2.64 % (3663427)------------------------------
% 12.14/2.64 % (3663427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.14/2.64 % (3663427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.14/2.64 % (3663427)CaDiCaL version: 2.1.3
% 12.14/2.64 % (3663427)Termination reason: Instruction limit
% 12.14/2.64 % (3663427)Termination phase: Saturation
% 12.14/2.64 % (3663427)Time elapsed: 0.145 s
% 12.14/2.64 % (3663427)Peak memory usage: 95 MB
% 12.14/2.64 % (3663427)Instructions burned: 438 (million)
% 12.14/2.64 % (3663433)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1868188483:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 12.14/2.64 % (3663433)Instruction limit reached!
% 12.14/2.64 % (3663433)------------------------------
% 12.14/2.64 % (3663433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.14/2.64 % (3663433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.14/2.64 % (3663433)CaDiCaL version: 2.1.3
% 12.14/2.64 % (3663433)Termination reason: Instruction limit
% 12.14/2.64 % (3663433)Termination phase: Saturation
% 12.14/2.64 % (3663433)Time elapsed: 0.041 s
% 12.14/2.64 % (3663433)Peak memory usage: 92 MB
% 12.14/2.64 % (3663433)Instructions burned: 138 (million)
% 12.14/2.64 % (3663435)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3484902929:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 12.14/2.64 % (3663395)First to succeed.
% 12.14/2.64 % (3663395)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3663390"
% 12.14/2.64 % (3663426)Instruction limit reached!
% 12.14/2.64 % (3663426)------------------------------
% 12.14/2.64 % (3663426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.14/2.64 % (3663426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.14/2.64 % (3663426)CaDiCaL version: 2.1.3
% 12.14/2.64 % (3663426)Termination reason: Instruction limit
% 12.14/2.64 % (3663426)Termination phase: Saturation
% 12.14/2.64 % (3663426)Time elapsed: 0.568 s
% 12.14/2.64 % (3663426)Peak memory usage: 103 MB
% 12.14/2.64 % (3663426)Instructions burned: 908 (million)
% 12.14/2.64 % (3663435)Instruction limit reached!
% 12.14/2.64 % (3663435)------------------------------
% 12.14/2.64 % (3663435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.14/2.64 % (3663435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.14/2.64 % (3663435)CaDiCaL version: 2.1.3
% 12.14/2.64 % (3663435)Termination reason: Instruction limit
% 12.14/2.64 % (3663435)Termination phase: Saturation
% 12.14/2.64 % (3663435)Time elapsed: 0.194 s
% 12.14/2.64 % (3663435)Peak memory usage: 101 MB
% 12.14/2.64 % (3663435)Instructions burned: 596 (million)
% 12.14/2.64 % (3663437)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2042739647:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 12.14/2.64 % (3663438)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1264069457:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 12.14/2.64 % (3663438)Instruction limit reached!
% 12.14/2.64 % (3663438)------------------------------
% 12.14/2.64 % (3663438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.14/2.64 % (3663438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.14/2.64 % (3663438)CaDiCaL version: 2.1.3
% 12.14/2.64 % (3663438)Termination reason: Instruction limit
% 12.14/2.64 % (3663438)Termination phase: Saturation
% 12.14/2.64 % (3663438)Time elapsed: 0.042 s
% 12.14/2.64 % (3663438)Peak memory usage: 92 MB
% 12.14/2.64 % (3663438)Instructions burned: 127 (million)
% 12.14/2.64 % (3663395)Refutation found. Thanks to Tanya!
% 12.14/2.64 % SZS status Theorem for theBenchmark
% 12.14/2.64 % SZS output start Proof for theBenchmark
% See solution above
% 12.96/2.84 % (3663395)------------------------------
% 12.96/2.84 % (3663395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.96/2.84 % (3663395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.96/2.84 % (3663395)CaDiCaL version: 2.1.3
% 12.96/2.84 % (3663395)Termination reason: Refutation
% 12.96/2.84 % (3663395)Time elapsed: 1.310 s
% 12.96/2.84 % (3663395)Peak memory usage: 147 MB
% 12.96/2.84 % (3663395)Instructions burned: 2058 (million)
% 12.96/2.84 % (3663395)------------------------------
% 12.96/2.84 % (3663395)------------------------------
% 12.96/2.84 % (3663390)Success in time 1.759 s
% 12.96/2.84 % Vampire exiting
%------------------------------------------------------------------------------