%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU310+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 : n004.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 12:48:17 PM UTC 2026
% Result : Theorem 7.76s 2.42s
% Output : Refutation 12.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 11
% Syntax : Number of formulae : 110 ( 15 unt; 7 def)
% Number of atoms : 433 ( 55 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 514 ( 191 ~; 216 |; 82 &)
% ( 13 <=>; 10 =>; 0 <=; 2 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 7 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 2 con; 0-3 aty)
% Number of variables : 157 ( 0 sgn 114 !; 43 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f160,axiom,
! [X0] :
( top_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f311,axiom,
! [X0,X1] :
( ( topological_space(X0)
& top_str(X0)
& element(X1,powerset(powerset(the_carrier(X0)))) )
=> ( ! [X2,X3,X4] :
( ( X2 = X3
& in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& X2 = X4
& in(set_difference(cast_as_carrier_subset(X0),X4),X1) )
=> X3 = X4 )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,powerset(the_carrier(X0)))
& X4 = X3
& in(set_difference(cast_as_carrier_subset(X0),X3),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e2_37_1_1__pre_topc__1) ).
fof(f320,conjecture,
! [X0,X1] :
( ( topological_space(X0)
& top_str(X0)
& element(X1,powerset(powerset(the_carrier(X0)))) )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ( in(X3,powerset(the_carrier(X0)))
& in(set_difference(cast_as_carrier_subset(X0),X3),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e2_37_1_1__pre_topc__1) ).
fof(f321,negated_conjecture,
~ ! [X0,X1] :
( ( topological_space(X0)
& top_str(X0)
& element(X1,powerset(powerset(the_carrier(X0)))) )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ( in(X3,powerset(the_carrier(X0)))
& in(set_difference(cast_as_carrier_subset(X0),X3),X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f320]) ).
fof(f343,axiom,
! [X0] :
( one_sorted_str(X0)
=> cast_as_carrier_subset(X0) = the_carrier(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_pre_topc) ).
fof(f519,plain,
! [X0,X1] :
( ( topological_space(X0)
& top_str(X0)
& element(X1,powerset(powerset(the_carrier(X0)))) )
=> ( ! [X2,X3,X4] :
( ( X2 = X3
& in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& X2 = X4
& in(set_difference(cast_as_carrier_subset(X0),X4),X1) )
=> X3 = X4 )
=> ? [X5] :
! [X6] :
( in(X6,X5)
<=> ? [X7] :
( in(X7,powerset(the_carrier(X0)))
& X6 = X7
& in(set_difference(cast_as_carrier_subset(X0),X6),X1) ) ) ) ),
inference(rectify,[],[f311]) ).
fof(f677,plain,
! [X0] :
( one_sorted_str(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f160]) ).
fof(f812,plain,
! [X0,X1] :
( ? [X5] :
! [X6] :
( in(X6,X5)
<=> ? [X7] :
( in(X7,powerset(the_carrier(X0)))
& X6 = X7
& in(set_difference(cast_as_carrier_subset(X0),X6),X1) ) )
| ? [X2,X3,X4] :
( X3 != X4
& X2 = X3
& in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& X2 = X4
& in(set_difference(cast_as_carrier_subset(X0),X4),X1) )
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(ennf_transformation,[],[f519]) ).
fof(f813,plain,
! [X0,X1] :
( ? [X5] :
! [X6] :
( in(X6,X5)
<=> ? [X7] :
( in(X7,powerset(the_carrier(X0)))
& X6 = X7
& in(set_difference(cast_as_carrier_subset(X0),X6),X1) ) )
| ? [X2,X3,X4] :
( X3 != X4
& X2 = X3
& in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& X2 = X4
& in(set_difference(cast_as_carrier_subset(X0),X4),X1) )
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(flattening,[],[f812]) ).
fof(f828,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( in(X3,X2)
<~> ( in(X3,powerset(the_carrier(X0)))
& in(set_difference(cast_as_carrier_subset(X0),X3),X1) ) )
& topological_space(X0)
& top_str(X0)
& element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(ennf_transformation,[],[f321]) ).
fof(f829,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( in(X3,X2)
<~> ( in(X3,powerset(the_carrier(X0)))
& in(set_difference(cast_as_carrier_subset(X0),X3),X1) ) )
& topological_space(X0)
& top_str(X0)
& element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(flattening,[],[f828]) ).
fof(f855,plain,
! [X0] :
( cast_as_carrier_subset(X0) = the_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f343]) ).
fof(f1071,definition,
! [X1,X0] :
( ? [X2,X3,X4] :
( X3 != X4
& X2 = X3
& in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& X2 = X4
& in(set_difference(cast_as_carrier_subset(X0),X4),X1) )
| ~ sP9(X1,X0) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f1072,plain,
! [X0,X1] :
( ? [X5] :
! [X6] :
( in(X6,X5)
<=> ? [X7] :
( in(X7,powerset(the_carrier(X0)))
& X6 = X7
& in(set_difference(cast_as_carrier_subset(X0),X6),X1) ) )
| sP9(X1,X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(definition_folding,[],[f813,f1071]) ).
fof(f1374,plain,
! [X1,X0] :
( ? [X2,X3,X4] :
( X3 != X4
& X2 = X3
& in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& X2 = X4
& in(set_difference(cast_as_carrier_subset(X0),X4),X1) )
| ~ sP9(X1,X0) ),
inference(nnf_transformation,[],[f1071]) ).
fof(f1375,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( X3 != X4
& X2 = X3
& in(set_difference(cast_as_carrier_subset(X1),X3),X0)
& X2 = X4
& in(set_difference(cast_as_carrier_subset(X1),X4),X0) )
| ~ sP9(X0,X1) ),
inference(rectify,[],[f1374]) ).
fof(f1376,plain,
! [X0,X1] :
( ( sK234(X0,X1) != sK235(X0,X1)
& sK233(X0,X1) = sK234(X0,X1)
& in(set_difference(cast_as_carrier_subset(X1),sK234(X0,X1)),X0)
& sK233(X0,X1) = sK235(X0,X1)
& in(set_difference(cast_as_carrier_subset(X1),sK235(X0,X1)),X0) )
| ~ sP9(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK233,sK234,sK235]),skolemize(X2,sK233(X0,X1)),skolemize(X3,sK234(X0,X1)),skolemize(X4,sK235(X0,X1))],[f1375]) ).
fof(f1377,plain,
! [X0,X1] :
( ? [X5] :
! [X6] :
( ( in(X6,X5)
| ! [X7] :
( ~ in(X7,powerset(the_carrier(X0)))
| X6 != X7
| ~ in(set_difference(cast_as_carrier_subset(X0),X6),X1) ) )
& ( ? [X7] :
( in(X7,powerset(the_carrier(X0)))
& X6 = X7
& in(set_difference(cast_as_carrier_subset(X0),X6),X1) )
| ~ in(X6,X5) ) )
| sP9(X1,X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(nnf_transformation,[],[f1072]) ).
fof(f1378,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ in(X4,powerset(the_carrier(X0)))
| X3 != X4
| ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1) ) )
& ( ? [X5] :
( in(X5,powerset(the_carrier(X0)))
& X3 = X5
& in(set_difference(cast_as_carrier_subset(X0),X3),X1) )
| ~ in(X3,X2) ) )
| sP9(X1,X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(rectify,[],[f1377]) ).
fof(f1379,plain,
! [X0,X1] :
( ! [X3] :
( ( in(X3,sK236(X0,X1))
| ! [X4] :
( ~ in(X4,powerset(the_carrier(X0)))
| X3 != X4
| ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1) ) )
& ( ( in(sK237(X0,X1,X3),powerset(the_carrier(X0)))
& sK237(X0,X1,X3) = X3
& in(set_difference(cast_as_carrier_subset(X0),X3),X1) )
| ~ in(X3,sK236(X0,X1)) ) )
| sP9(X1,X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK236,sK237]),skolemize(X2,sK236(X0,X1)),skolemize(X5,sK237(X0,X1,X3))],[f1378]) ).
fof(f1422,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( ( ~ in(X3,powerset(the_carrier(X0)))
| ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| ~ in(X3,X2) )
& ( ( in(X3,powerset(the_carrier(X0)))
& in(set_difference(cast_as_carrier_subset(X0),X3),X1) )
| in(X3,X2) ) )
& topological_space(X0)
& top_str(X0)
& element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(nnf_transformation,[],[f829]) ).
fof(f1423,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( ( ~ in(X3,powerset(the_carrier(X0)))
| ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| ~ in(X3,X2) )
& ( ( in(X3,powerset(the_carrier(X0)))
& in(set_difference(cast_as_carrier_subset(X0),X3),X1) )
| in(X3,X2) ) )
& topological_space(X0)
& top_str(X0)
& element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(flattening,[],[f1422]) ).
fof(f1424,plain,
( ! [X2] :
( ( ~ in(sK290(X2),powerset(the_carrier(sK288)))
| ~ in(set_difference(cast_as_carrier_subset(sK288),sK290(X2)),sK289)
| ~ in(sK290(X2),X2) )
& ( ( in(sK290(X2),powerset(the_carrier(sK288)))
& in(set_difference(cast_as_carrier_subset(sK288),sK290(X2)),sK289) )
| in(sK290(X2),X2) ) )
& topological_space(sK288)
& top_str(sK288)
& element(sK289,powerset(powerset(the_carrier(sK288)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK288,sK289,sK290]),skolemize(X0,sK288),skolemize(X1,sK289),skolemize(X3,sK290(X2))],[f1423]) ).
fof(f1946,plain,
! [X0] :
( ~ top_str(X0)
| one_sorted_str(X0) ),
inference(cnf_transformation,[],[f677]) ).
fof(f2399,plain,
! [X0,X1] :
( ~ sP9(X0,X1)
| sK233(X0,X1) = sK235(X0,X1) ),
inference(cnf_transformation,[],[f1376]) ).
fof(f2401,plain,
! [X0,X1] :
( ~ sP9(X0,X1)
| sK233(X0,X1) = sK234(X0,X1) ),
inference(cnf_transformation,[],[f1376]) ).
fof(f2402,plain,
! [X0,X1] :
( sK234(X0,X1) != sK235(X0,X1)
| ~ sP9(X0,X1) ),
inference(cnf_transformation,[],[f1376]) ).
fof(f2403,plain,
! [X3,X0,X1] :
( ~ topological_space(X0)
| ~ in(X3,sK236(X0,X1))
| sP9(X1,X0)
| in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| ~ top_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(cnf_transformation,[],[f1379]) ).
fof(f2404,plain,
! [X3,X0,X1] :
( ~ topological_space(X0)
| ~ in(X3,sK236(X0,X1))
| sP9(X1,X0)
| sK237(X0,X1,X3) = X3
| ~ top_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(cnf_transformation,[],[f1379]) ).
fof(f2405,plain,
! [X3,X0,X1] :
( in(sK237(X0,X1,X3),powerset(the_carrier(X0)))
| ~ in(X3,sK236(X0,X1))
| sP9(X1,X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(cnf_transformation,[],[f1379]) ).
fof(f2406,plain,
! [X3,X0,X1,X4] :
( in(X3,sK236(X0,X1))
| ~ in(X4,powerset(the_carrier(X0)))
| X3 != X4
| ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| sP9(X1,X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(cnf_transformation,[],[f1379]) ).
fof(f2488,plain,
element(sK289,powerset(powerset(the_carrier(sK288)))),
inference(cnf_transformation,[],[f1424]) ).
fof(f2489,plain,
top_str(sK288),
inference(cnf_transformation,[],[f1424]) ).
fof(f2490,plain,
topological_space(sK288),
inference(cnf_transformation,[],[f1424]) ).
fof(f2491,plain,
! [X2] :
( in(set_difference(cast_as_carrier_subset(sK288),sK290(X2)),sK289)
| in(sK290(X2),X2) ),
inference(cnf_transformation,[],[f1424]) ).
fof(f2492,plain,
! [X2] :
( in(sK290(X2),powerset(the_carrier(sK288)))
| in(sK290(X2),X2) ),
inference(cnf_transformation,[],[f1424]) ).
fof(f2493,plain,
! [X2] :
( ~ in(sK290(X2),powerset(the_carrier(sK288)))
| ~ in(set_difference(cast_as_carrier_subset(sK288),sK290(X2)),sK289)
| ~ in(sK290(X2),X2) ),
inference(cnf_transformation,[],[f1424]) ).
fof(f2574,plain,
! [X0] :
( ~ one_sorted_str(X0)
| the_carrier(X0) = cast_as_carrier_subset(X0) ),
inference(cnf_transformation,[],[f855]) ).
fof(f3338,plain,
! [X0,X1,X4] :
( ~ topological_space(X0)
| ~ in(X4,powerset(the_carrier(X0)))
| ~ in(set_difference(cast_as_carrier_subset(X0),X4),X1)
| sP9(X1,X0)
| in(X4,sK236(X0,X1))
| ~ top_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(equality_resolution,[],[f2406]) ).
fof(f3734,plain,
! [X0,X1] :
( ~ in(X0,sK236(sK288,X1))
| sP9(X1,sK288)
| in(set_difference(cast_as_carrier_subset(sK288),X0),X1)
| ~ top_str(sK288)
| ~ element(X1,powerset(powerset(the_carrier(sK288)))) ),
inference(resolution,[],[f2403,f2490]) ).
fof(f3735,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(the_carrier(sK288))))
| sP9(X1,sK288)
| in(set_difference(cast_as_carrier_subset(sK288),X0),X1)
| ~ in(X0,sK236(sK288,X1)) ),
inference(forward_subsumption_resolution,[],[f3734,f2489]) ).
fof(f3736,plain,
! [X0,X1] :
( ~ in(X0,powerset(the_carrier(sK288)))
| ~ in(set_difference(cast_as_carrier_subset(sK288),X0),X1)
| sP9(X1,sK288)
| in(X0,sK236(sK288,X1))
| ~ top_str(sK288)
| ~ element(X1,powerset(powerset(the_carrier(sK288)))) ),
inference(resolution,[],[f3338,f2490]) ).
fof(f3737,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(the_carrier(sK288))))
| ~ in(set_difference(cast_as_carrier_subset(sK288),X0),X1)
| sP9(X1,sK288)
| in(X0,sK236(sK288,X1))
| ~ in(X0,powerset(the_carrier(sK288))) ),
inference(forward_subsumption_resolution,[],[f3736,f2489]) ).
fof(f3740,definition,
( spl347_70
<=> sP9(sK289,sK288) ),
introduced(definition,[new_symbols(definition,[spl347_70])],[avatar_definition]) ).
fof(f3741,plain,
( sP9(sK289,sK288)
| ~ spl347_70 ),
inference(avatar_component_clause,[],[f3740]) ).
fof(f3749,plain,
! [X0,X1] :
( ~ in(X0,sK236(sK288,X1))
| sP9(X1,sK288)
| sK237(sK288,X1,X0) = X0
| ~ top_str(sK288)
| ~ element(X1,powerset(powerset(the_carrier(sK288)))) ),
inference(resolution,[],[f2404,f2490]) ).
fof(f3750,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(the_carrier(sK288))))
| sP9(X1,sK288)
| sK237(sK288,X1,X0) = X0
| ~ in(X0,sK236(sK288,X1)) ),
inference(forward_subsumption_resolution,[],[f3749,f2489]) ).
fof(f3897,plain,
one_sorted_str(sK288),
inference(resolution,[],[f1946,f2489]) ).
fof(f3959,plain,
the_carrier(sK288) = cast_as_carrier_subset(sK288),
inference(resolution,[],[f3897,f2574]) ).
fof(f3960,plain,
element(sK289,powerset(powerset(cast_as_carrier_subset(sK288)))),
inference(superposition,[],[f2488,f3959]) ).
fof(f3961,plain,
! [X0] :
( in(sK290(X0),powerset(cast_as_carrier_subset(sK288)))
| in(sK290(X0),X0) ),
inference(superposition,[],[f2492,f3959]) ).
fof(f3962,plain,
! [X0] :
( ~ in(sK290(X0),powerset(cast_as_carrier_subset(sK288)))
| ~ in(set_difference(cast_as_carrier_subset(sK288),sK290(X0)),sK289)
| ~ in(sK290(X0),X0) ),
inference(superposition,[],[f2493,f3959]) ).
fof(f3963,plain,
! [X0,X1] :
( ~ element(X0,powerset(powerset(cast_as_carrier_subset(sK288))))
| sP9(X0,sK288)
| in(set_difference(cast_as_carrier_subset(sK288),X1),X0)
| ~ in(X1,sK236(sK288,X0)) ),
inference(superposition,[],[f3735,f3959]) ).
fof(f3964,plain,
! [X0,X1] :
( ~ element(X0,powerset(powerset(cast_as_carrier_subset(sK288))))
| ~ in(set_difference(cast_as_carrier_subset(sK288),X1),X0)
| sP9(X0,sK288)
| in(X1,sK236(sK288,X0))
| ~ in(X1,powerset(cast_as_carrier_subset(sK288))) ),
inference(superposition,[],[f3737,f3959]) ).
fof(f3966,plain,
! [X0,X1] :
( ~ element(X0,powerset(powerset(cast_as_carrier_subset(sK288))))
| sP9(X0,sK288)
| sK237(sK288,X0,X1) = X1
| ~ in(X1,sK236(sK288,X0)) ),
inference(superposition,[],[f3750,f3959]) ).
fof(f4008,plain,
! [X0] :
( ~ in(set_difference(cast_as_carrier_subset(sK288),X0),sK289)
| sP9(sK289,sK288)
| in(X0,sK236(sK288,sK289))
| ~ in(X0,powerset(cast_as_carrier_subset(sK288))) ),
inference(resolution,[],[f3964,f3960]) ).
fof(f4145,plain,
! [X0] :
( sP9(sK289,sK288)
| in(set_difference(cast_as_carrier_subset(sK288),X0),sK289)
| ~ in(X0,sK236(sK288,sK289)) ),
inference(resolution,[],[f3963,f3960]) ).
fof(f4206,plain,
! [X0] :
( sP9(sK289,sK288)
| sK237(sK288,sK289,X0) = X0
| ~ in(X0,sK236(sK288,sK289)) ),
inference(resolution,[],[f3966,f3960]) ).
fof(f5174,plain,
( sK233(sK289,sK288) = sK235(sK289,sK288)
| ~ spl347_70 ),
inference(resolution,[],[f2399,f3741]) ).
fof(f5454,plain,
( sK233(sK289,sK288) = sK234(sK289,sK288)
| ~ spl347_70 ),
inference(resolution,[],[f2401,f3741]) ).
fof(f5460,plain,
( sK235(sK289,sK288) = sK234(sK289,sK288)
| ~ spl347_70 ),
inference(superposition,[],[f5174,f5454]) ).
fof(f5462,plain,
( sK234(sK289,sK288) != sK234(sK289,sK288)
| ~ sP9(sK289,sK288)
| ~ spl347_70 ),
inference(superposition,[],[f2402,f5460]) ).
fof(f5463,plain,
( ~ sP9(sK289,sK288)
| ~ spl347_70 ),
inference(trivial_inequality_removal,[],[f5462]) ).
fof(f5465,plain,
( $false
| ~ spl347_70 ),
inference(forward_subsumption_resolution,[],[f5463,f3741]) ).
fof(f5466,plain,
~ spl347_70,
inference(avatar_contradiction_clause,[],[f5465]) ).
fof(f5469,definition,
( spl347_132
<=> ! [X0] :
( in(set_difference(cast_as_carrier_subset(sK288),X0),sK289)
| ~ in(X0,sK236(sK288,sK289)) ) ),
introduced(definition,[new_symbols(definition,[spl347_132])],[avatar_definition]) ).
fof(f5470,plain,
( ! [X0] :
( ~ in(X0,sK236(sK288,sK289))
| in(set_difference(cast_as_carrier_subset(sK288),X0),sK289) )
| ~ spl347_132 ),
inference(avatar_component_clause,[],[f5469]) ).
fof(f5473,definition,
( spl347_133
<=> ! [X0] :
( sK237(sK288,sK289,X0) = X0
| ~ in(X0,sK236(sK288,sK289)) ) ),
introduced(definition,[new_symbols(definition,[spl347_133])],[avatar_definition]) ).
fof(f5474,plain,
( ! [X0] :
( ~ in(X0,sK236(sK288,sK289))
| sK237(sK288,sK289,X0) = X0 )
| ~ spl347_133 ),
inference(avatar_component_clause,[],[f5473]) ).
fof(f5477,definition,
( spl347_134
<=> ! [X0] :
( ~ in(set_difference(cast_as_carrier_subset(sK288),X0),sK289)
| ~ in(X0,powerset(cast_as_carrier_subset(sK288)))
| in(X0,sK236(sK288,sK289)) ) ),
introduced(definition,[new_symbols(definition,[spl347_134])],[avatar_definition]) ).
fof(f5478,plain,
( ! [X0] :
( ~ in(set_difference(cast_as_carrier_subset(sK288),X0),sK289)
| ~ in(X0,powerset(cast_as_carrier_subset(sK288)))
| in(X0,sK236(sK288,sK289)) )
| ~ spl347_134 ),
inference(avatar_component_clause,[],[f5477]) ).
fof(f5479,plain,
( spl347_70
| spl347_134 ),
inference(avatar_split_clause,[],[f4008,f5477,f3740]) ).
fof(f5480,plain,
( spl347_132
| spl347_70 ),
inference(avatar_split_clause,[],[f4145,f3740,f5469]) ).
fof(f5481,plain,
( spl347_133
| spl347_70 ),
inference(avatar_split_clause,[],[f4206,f3740,f5473]) ).
fof(f5484,plain,
( ! [X0] :
( ~ in(sK290(X0),powerset(cast_as_carrier_subset(sK288)))
| in(sK290(X0),sK236(sK288,sK289))
| in(sK290(X0),X0) )
| ~ spl347_134 ),
inference(resolution,[],[f5478,f2491]) ).
fof(f5495,plain,
( ! [X0] :
( in(sK290(X0),sK236(sK288,sK289))
| in(sK290(X0),X0) )
| ~ spl347_134 ),
inference(forward_subsumption_resolution,[],[f5484,f3961]) ).
fof(f5499,plain,
( in(set_difference(cast_as_carrier_subset(sK288),sK290(sK236(sK288,sK289))),sK289)
| in(set_difference(cast_as_carrier_subset(sK288),sK290(sK236(sK288,sK289))),sK289)
| ~ spl347_132 ),
inference(resolution,[],[f5470,f2491]) ).
fof(f5510,plain,
( in(set_difference(cast_as_carrier_subset(sK288),sK290(sK236(sK288,sK289))),sK289)
| ~ spl347_132 ),
inference(duplicate_literal_removal,[],[f5499]) ).
fof(f5515,definition,
( spl347_136
<=> in(set_difference(cast_as_carrier_subset(sK288),sK290(sK236(sK288,sK289))),sK289) ),
introduced(definition,[new_symbols(definition,[spl347_136])],[avatar_definition]) ).
fof(f5516,plain,
( in(set_difference(cast_as_carrier_subset(sK288),sK290(sK236(sK288,sK289))),sK289)
| ~ spl347_136 ),
inference(avatar_component_clause,[],[f5515]) ).
fof(f5524,definition,
( spl347_138
<=> in(sK290(sK236(sK288,sK289)),powerset(cast_as_carrier_subset(sK288))) ),
introduced(definition,[new_symbols(definition,[spl347_138])],[avatar_definition]) ).
fof(f5525,plain,
( in(sK290(sK236(sK288,sK289)),powerset(cast_as_carrier_subset(sK288)))
| ~ spl347_138 ),
inference(avatar_component_clause,[],[f5524]) ).
fof(f5529,plain,
( spl347_136
| ~ spl347_132 ),
inference(avatar_split_clause,[],[f5510,f5469,f5515]) ).
fof(f5550,plain,
( in(sK290(sK236(sK288,sK289)),sK236(sK288,sK289))
| ~ spl347_134 ),
inference(factoring,[],[f5495]) ).
fof(f5571,plain,
( sK290(sK236(sK288,sK289)) = sK237(sK288,sK289,sK290(sK236(sK288,sK289)))
| ~ spl347_133
| ~ spl347_134 ),
inference(resolution,[],[f5474,f5550]) ).
fof(f5573,plain,
( in(sK290(sK236(sK288,sK289)),powerset(the_carrier(sK288)))
| ~ in(sK290(sK236(sK288,sK289)),sK236(sK288,sK289))
| sP9(sK289,sK288)
| ~ topological_space(sK288)
| ~ top_str(sK288)
| ~ element(sK289,powerset(powerset(the_carrier(sK288))))
| ~ spl347_133
| ~ spl347_134 ),
inference(superposition,[],[f2405,f5571]) ).
fof(f5574,plain,
( in(sK290(sK236(sK288,sK289)),powerset(the_carrier(sK288)))
| sP9(sK289,sK288)
| ~ topological_space(sK288)
| ~ top_str(sK288)
| ~ element(sK289,powerset(powerset(the_carrier(sK288))))
| ~ spl347_133
| ~ spl347_134 ),
inference(forward_subsumption_resolution,[],[f5573,f2492]) ).
fof(f5575,plain,
( in(sK290(sK236(sK288,sK289)),powerset(the_carrier(sK288)))
| sP9(sK289,sK288)
| ~ top_str(sK288)
| ~ element(sK289,powerset(powerset(the_carrier(sK288))))
| ~ spl347_133
| ~ spl347_134 ),
inference(forward_subsumption_resolution,[],[f5574,f2490]) ).
fof(f5576,plain,
( in(sK290(sK236(sK288,sK289)),powerset(the_carrier(sK288)))
| sP9(sK289,sK288)
| ~ element(sK289,powerset(powerset(the_carrier(sK288))))
| ~ spl347_133
| ~ spl347_134 ),
inference(forward_subsumption_resolution,[],[f5575,f2489]) ).
fof(f5577,plain,
( in(sK290(sK236(sK288,sK289)),powerset(the_carrier(sK288)))
| sP9(sK289,sK288)
| ~ spl347_133
| ~ spl347_134 ),
inference(forward_subsumption_resolution,[],[f5576,f2488]) ).
fof(f5578,plain,
( in(sK290(sK236(sK288,sK289)),powerset(cast_as_carrier_subset(sK288)))
| sP9(sK289,sK288)
| ~ spl347_133
| ~ spl347_134 ),
inference(forward_demodulation,[],[f5577,f3959]) ).
fof(f5579,plain,
( spl347_70
| spl347_138
| ~ spl347_133
| ~ spl347_134 ),
inference(avatar_split_clause,[],[f5578,f5477,f5473,f5524,f3740]) ).
fof(f5580,plain,
( ~ in(set_difference(cast_as_carrier_subset(sK288),sK290(sK236(sK288,sK289))),sK289)
| ~ in(sK290(sK236(sK288,sK289)),sK236(sK288,sK289))
| ~ spl347_138 ),
inference(resolution,[],[f5525,f3962]) ).
fof(f5583,plain,
( ~ in(sK290(sK236(sK288,sK289)),sK236(sK288,sK289))
| ~ spl347_136
| ~ spl347_138 ),
inference(forward_subsumption_resolution,[],[f5580,f5516]) ).
fof(f5584,plain,
( $false
| ~ spl347_134
| ~ spl347_136
| ~ spl347_138 ),
inference(forward_subsumption_resolution,[],[f5583,f5550]) ).
fof(f5585,plain,
( ~ spl347_134
| ~ spl347_136
| ~ spl347_138 ),
inference(avatar_contradiction_clause,[],[f5584]) ).
cnf(s159,plain,
~ spl347_70,
inference(sat_conversion,[],[f5466]) ).
cnf(s162,plain,
( spl347_70
| spl347_134 ),
inference(sat_conversion,[],[f5479]) ).
cnf(s163,plain,
( spl347_70
| spl347_132 ),
inference(sat_conversion,[],[f5480]) ).
cnf(s164,plain,
( spl347_70
| spl347_133 ),
inference(sat_conversion,[],[f5481]) ).
cnf(s169,plain,
( ~ spl347_132
| spl347_136 ),
inference(sat_conversion,[],[f5529]) ).
cnf(s171,plain,
( spl347_70
| ~ spl347_133
| ~ spl347_134
| spl347_138 ),
inference(sat_conversion,[],[f5579]) ).
cnf(s173,plain,
( ~ spl347_134
| ~ spl347_136
| ~ spl347_138 ),
inference(sat_conversion,[],[f5585]) ).
cnf(s174,plain,
spl347_133,
inference(rat,[],[s164,s159]) ).
cnf(s175,plain,
spl347_132,
inference(rat,[],[s163,s159]) ).
cnf(s176,plain,
spl347_134,
inference(rat,[],[s162,s159]) ).
cnf(s177,plain,
spl347_136,
inference(rat,[],[s169,s175]) ).
cnf(s178,plain,
spl347_138,
inference(rat,[],[s171,s174,s159,s176]) ).
cnf(s179,plain,
$false,
inference(rat,[],[s173,s176,s178,s177]) ).
fof(f5586,plain,
$false,
inference(avatar_sat_refutation,[],[s179]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU310+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n004.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 04:38:22 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 7.76/2.42 % (4152608)Detected formulas, will run a generic FOF schedule.
% 7.76/2.42 % (4152630)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=952544848:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.76/2.42 % (4152631)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3740811166:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.76/2.42 % (4152628)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=3002893509:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.76/2.42 % (4152632)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2501481969:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.76/2.42 % (4152634)dis-21_1_sil=8000:lcm=predicate:random_seed=2084597978: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)
% 7.76/2.42 % (4152629)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=4267183835:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.76/2.42 % (4152633)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1321482764:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.76/2.42 % (4152633)Instruction limit reached!
% 7.76/2.42 % (4152633)------------------------------
% 7.76/2.42 % (4152633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.76/2.42 % (4152633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.76/2.42 % (4152633)CaDiCaL version: 2.1.3
% 7.76/2.42 % (4152633)Termination reason: Instruction limit
% 7.76/2.42 % (4152633)Termination phase: Saturation
% 7.76/2.42 % (4152633)Time elapsed: 0.052 s
% 7.76/2.42 % (4152633)Peak memory usage: 91 MB
% 7.76/2.42 % (4152633)Instructions burned: 141 (million)
% 7.76/2.42 % (4152631)Instruction limit reached!
% 7.76/2.42 % (4152631)------------------------------
% 7.76/2.42 % (4152631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.76/2.42 % (4152631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.76/2.42 % (4152631)CaDiCaL version: 2.1.3
% 7.76/2.42 % (4152631)Termination reason: Instruction limit
% 7.76/2.42 % (4152631)Termination phase: Saturation
% 7.76/2.42 % (4152631)Time elapsed: 0.060 s
% 7.76/2.42 % (4152631)Peak memory usage: 91 MB
% 7.76/2.42 % (4152631)Instructions burned: 109 (million)
% 7.76/2.42 % (4152632)Instruction limit reached!
% 7.76/2.42 % (4152632)------------------------------
% 7.76/2.42 % (4152632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.76/2.42 % (4152632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.76/2.42 % (4152632)CaDiCaL version: 2.1.3
% 7.76/2.42 % (4152632)Termination reason: Instruction limit
% 7.76/2.42 % (4152632)Termination phase: Saturation
% 7.76/2.42 % (4152632)Time elapsed: 0.073 s
% 7.76/2.42 % (4152632)Peak memory usage: 90 MB
% 7.76/2.42 % (4152632)Instructions burned: 119 (million)
% 7.76/2.42 % (4152634)Instruction limit reached!
% 7.76/2.42 % (4152634)------------------------------
% 7.76/2.42 % (4152634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.76/2.42 % (4152634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.76/2.42 % (4152634)CaDiCaL version: 2.1.3
% 7.76/2.42 % (4152634)Termination reason: Instruction limit
% 7.76/2.42 % (4152634)Termination phase: Saturation
% 7.76/2.42 % (4152634)Time elapsed: 0.109 s
% 7.76/2.42 % (4152634)Peak memory usage: 90 MB
% 7.76/2.42 % (4152634)Instructions burned: 130 (million)
% 7.76/2.42 % (4152656)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1604337600:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.76/2.42 % (4152655)lrs+10_1_sil=8000:sp=occurrence:random_seed=3331572921:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.76/2.42 % (4152656)Instruction limit reached!
% 7.76/2.42 % (4152656)------------------------------
% 7.76/2.42 % (4152656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.76/2.42 % (4152656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.76/2.42 % (4152656)CaDiCaL version: 2.1.3
% 7.76/2.42 % (4152656)Termination reason: Instruction limit
% 7.76/2.42 % (4152656)Termination phase: Saturation
% 7.76/2.42 % (4152656)Time elapsed: 0.052 s
% 7.76/2.42 % (4152656)Peak memory usage: 90 MB
% 7.76/2.42 % (4152656)Instructions burned: 158 (million)
% 7.76/2.42 % (4152657)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3181524397:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.76/2.42 % (4152658)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=1368756152:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 7.76/2.42 % (4152661)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1731651921:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 7.76/2.42 % (4152655)Instruction limit reached!
% 7.76/2.42 % (4152655)------------------------------
% 7.76/2.42 % (4152655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.76/2.42 % (4152655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.76/2.42 % (4152655)CaDiCaL version: 2.1.3
% 7.76/2.42 % (4152655)Termination reason: Instruction limit
% 7.76/2.42 % (4152655)Termination phase: Saturation
% 7.76/2.42 % (4152655)Time elapsed: 0.184 s
% 7.76/2.42 % (4152655)Peak memory usage: 94 MB
% 7.76/2.42 % (4152655)Instructions burned: 286 (million)
% 7.76/2.42 % (4152658)Instruction limit reached!
% 7.76/2.42 % (4152658)------------------------------
% 7.76/2.42 % (4152658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.76/2.42 % (4152658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.76/2.42 % (4152658)CaDiCaL version: 2.1.3
% 7.76/2.42 % (4152658)Termination reason: Instruction limit
% 7.76/2.42 % (4152658)Termination phase: Saturation
% 7.76/2.42 % (4152658)Time elapsed: 0.153 s
% 7.76/2.42 % (4152658)Peak memory usage: 93 MB
% 7.76/2.42 % (4152658)Instructions burned: 249 (million)
% 7.76/2.42 % (4152661)Instruction limit reached!
% 7.76/2.42 % (4152661)------------------------------
% 7.76/2.42 % (4152661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.76/2.42 % (4152661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.76/2.42 % (4152661)CaDiCaL version: 2.1.3
% 7.76/2.42 % (4152661)Termination reason: Instruction limit
% 7.76/2.42 % (4152661)Termination phase: Saturation
% 7.76/2.42 % (4152661)Time elapsed: 0.099 s
% 7.76/2.42 % (4152661)Peak memory usage: 92 MB
% 7.76/2.42 % (4152661)Instructions burned: 295 (million)
% 7.76/2.42 % (4152665)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1666393013:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 7.76/2.42 % (4152657)Instruction limit reached!
% 7.76/2.42 % (4152657)------------------------------
% 7.76/2.42 % (4152657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.76/2.42 % (4152657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.76/2.42 % (4152657)CaDiCaL version: 2.1.3
% 7.76/2.42 % (4152657)Termination reason: Instruction limit
% 7.76/2.42 % (4152657)Termination phase: Saturation
% 7.76/2.42 % (4152657)Time elapsed: 0.287 s
% 7.76/2.42 % (4152657)Peak memory usage: 94 MB
% 7.76/2.42 % (4152657)Instructions burned: 325 (million)
% 7.76/2.42 % (4152667)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1522305105:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 7.76/2.42 % (4152666)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2831591396:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 7.76/2.42 % (4152667)Instruction limit reached!
% 7.76/2.42 % (4152667)------------------------------
% 7.76/2.42 % (4152667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.76/2.42 % (4152667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.76/2.42 % (4152667)CaDiCaL version: 2.1.3
% 7.76/2.42 % (4152667)Termination reason: Instruction limit
% 7.76/2.42 % (4152667)Termination phase: Saturation
% 7.76/2.42 % (4152667)Time elapsed: 0.043 s
% 7.76/2.42 % (4152667)Peak memory usage: 91 MB
% 7.76/2.42 % (4152667)Instructions burned: 127 (million)
% 7.76/2.42 % (4152666)Instruction limit reached!
% 7.76/2.42 % (4152666)------------------------------
% 7.76/2.42 % (4152666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.76/2.42 % (4152666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.76/2.42 % (4152666)CaDiCaL version: 2.1.3
% 7.76/2.42 % (4152666)Termination reason: Instruction limit
% 7.76/2.42 % (4152666)Termination phase: Saturation
% 7.76/2.42 % (4152666)Time elapsed: 0.098 s
% 7.76/2.42 % (4152666)Peak memory usage: 91 MB
% 7.76/2.42 % (4152666)Instructions burned: 113 (million)
% 7.76/2.42 % (4152680)lrs+10_1_sil=8000:sp=occurrence:random_seed=2009608606:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 7.76/2.42 % (4152669)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=156786934:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 7.76/2.42 % (4152669)Instruction limit reached!
% 7.76/2.42 % (4152669)------------------------------
% 7.76/2.42 % (4152669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.76/2.42 % (4152669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.76/2.42 % (4152669)CaDiCaL version: 2.1.3
% 7.76/2.42 % (4152669)Termination reason: Instruction limit
% 7.76/2.42 % (4152669)Termination phase: Saturation
% 7.76/2.42 % (4152669)Time elapsed: 0.097 s
% 7.76/2.42 % (4152669)Peak memory usage: 90 MB
% 7.76/2.42 % (4152669)Instructions burned: 115 (million)
% 7.76/2.42 % (4152681)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2750026247:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 7.76/2.42 % (4152692)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1290151229:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 7.76/2.42 % (4152629)First to succeed.
% 7.76/2.42 % (4152629)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4152608"
% 7.76/2.42 % (4152628)Also succeeded, but the first one will report.
% 7.76/2.42 % (4152680)Instruction limit reached!
% 7.76/2.42 % (4152680)------------------------------
% 7.76/2.42 % (4152680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.76/2.42 % (4152680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.76/2.42 % (4152680)CaDiCaL version: 2.1.3
% 7.76/2.42 % (4152680)Termination reason: Instruction limit
% 7.76/2.42 % (4152680)Termination phase: Saturation
% 7.76/2.42 % (4152680)Time elapsed: 0.482 s
% 7.76/2.42 % (4152680)Peak memory usage: 103 MB
% 7.76/2.42 % (4152680)Instructions burned: 907 (million)
% 7.76/2.42 % (4152681)Instruction limit reached!
% 7.76/2.42 % (4152681)------------------------------
% 7.76/2.42 % (4152681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.76/2.42 % (4152681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.76/2.42 % (4152681)CaDiCaL version: 2.1.3
% 7.76/2.42 % (4152681)Termination reason: Instruction limit
% 7.76/2.42 % (4152681)Termination phase: Saturation
% 7.76/2.42 % (4152681)Time elapsed: 0.447 s
% 7.76/2.42 % (4152681)Peak memory usage: 94 MB
% 7.76/2.42 % (4152681)Instructions burned: 437 (million)
% 7.76/2.42 % (4152700)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=307555620:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 7.76/2.42 % (4152700)Instruction limit reached!
% 7.76/2.42 % (4152700)------------------------------
% 7.76/2.42 % (4152700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.76/2.42 % (4152700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.76/2.42 % (4152700)CaDiCaL version: 2.1.3
% 7.76/2.42 % (4152700)Termination reason: Instruction limit
% 7.76/2.42 % (4152700)Termination phase: Saturation
% 7.76/2.42 % (4152700)Time elapsed: 0.044 s
% 7.76/2.42 % (4152700)Peak memory usage: 92 MB
% 7.76/2.42 % (4152700)Instructions burned: 134 (million)
% 7.76/2.42 % (4152630)Also succeeded, but the first one will report.
% 7.76/2.42 % (4152629)Refutation found. Thanks to Tanya!
% 7.76/2.42 % SZS status Theorem for theBenchmark
% 7.76/2.42 % SZS output start Proof for theBenchmark
% See solution above
% 12.98/2.62 % (4152629)------------------------------
% 12.98/2.62 % (4152629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.98/2.62 % (4152629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.98/2.62 % (4152629)CaDiCaL version: 2.1.3
% 12.98/2.62 % (4152629)Termination reason: Refutation
% 12.98/2.62 % (4152629)Time elapsed: 1.301 s
% 12.98/2.62 % (4152629)Peak memory usage: 142 MB
% 12.98/2.62 % (4152629)Instructions burned: 1660 (million)
% 12.98/2.62 % (4152629)------------------------------
% 12.98/2.62 % (4152629)------------------------------
% 12.98/2.62 % (4152608)Success in time 1.798 s
% 12.98/2.62 % Vampire exiting
%------------------------------------------------------------------------------