%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU314+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 10.65s 2.43s
% Output : Refutation 11.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 17
% Syntax : Number of formulae : 168 ( 16 unt; 12 def)
% Number of atoms : 779 ( 115 equ)
% Maximal formula atoms : 21 ( 4 avg)
% Number of connectives : 963 ( 352 ~; 407 |; 173 &)
% ( 18 <=>; 11 =>; 0 <=; 2 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 12 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 2 con; 0-3 aty)
% Number of variables : 219 ( 0 sgn 150 !; 69 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f167,axiom,
! [X0] :
( top_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f321,axiom,
! [X0,X1] :
( ( topological_space(X0)
& top_str(X0)
& element(X1,powerset(the_carrier(X0))) )
=> ( ! [X2,X3,X4] :
( ( X2 = X3
& ? [X5] :
( element(X5,powerset(the_carrier(X0)))
& X5 = X3
& closed_subset(X5,X0)
& subset(X1,X3) )
& X2 = X4
& ? [X6] :
( element(X6,powerset(the_carrier(X0)))
& X6 = X4
& closed_subset(X6,X0)
& subset(X1,X4) ) )
=> X3 = X4 )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,powerset(the_carrier(X0)))
& X4 = X3
& ? [X7] :
( element(X7,powerset(the_carrier(X0)))
& X7 = X3
& closed_subset(X7,X0)
& subset(X1,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e1_40__pre_topc__1) ).
fof(f331,conjecture,
! [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/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e1_40__pre_topc__1) ).
fof(f332,negated_conjecture,
~ ! [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) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f331]) ).
fof(f356,axiom,
! [X0] :
( one_sorted_str(X0)
=> cast_as_carrier_subset(X0) = the_carrier(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_pre_topc) ).
fof(f388,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f535,plain,
! [X0,X1] :
( ( topological_space(X0)
& top_str(X0)
& element(X1,powerset(the_carrier(X0))) )
=> ( ! [X2,X3,X4] :
( ( X2 = X3
& ? [X5] :
( element(X5,powerset(the_carrier(X0)))
& X5 = X3
& closed_subset(X5,X0)
& subset(X1,X3) )
& X2 = X4
& ? [X6] :
( element(X6,powerset(the_carrier(X0)))
& X6 = X4
& closed_subset(X6,X0)
& subset(X1,X4) ) )
=> X3 = X4 )
=> ? [X7] :
! [X8] :
( in(X8,X7)
<=> ? [X9] :
( in(X9,powerset(the_carrier(X0)))
& X8 = X9
& ? [X10] :
( element(X10,powerset(the_carrier(X0)))
& X8 = X10
& closed_subset(X10,X0)
& subset(X1,X8) ) ) ) ) ),
inference(rectify,[],[f321]) ).
fof(f704,plain,
! [X0] :
( one_sorted_str(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f167]) ).
fof(f841,plain,
! [X0,X1] :
( ? [X7] :
! [X8] :
( in(X8,X7)
<=> ? [X9] :
( in(X9,powerset(the_carrier(X0)))
& X8 = X9
& ? [X10] :
( element(X10,powerset(the_carrier(X0)))
& X8 = X10
& closed_subset(X10,X0)
& subset(X1,X8) ) ) )
| ? [X2,X3,X4] :
( X3 != X4
& X2 = X3
& ? [X5] :
( element(X5,powerset(the_carrier(X0)))
& X5 = X3
& closed_subset(X5,X0)
& subset(X1,X3) )
& X2 = X4
& ? [X6] :
( element(X6,powerset(the_carrier(X0)))
& X6 = X4
& closed_subset(X6,X0)
& subset(X1,X4) ) )
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(ennf_transformation,[],[f535]) ).
fof(f842,plain,
! [X0,X1] :
( ? [X7] :
! [X8] :
( in(X8,X7)
<=> ? [X9] :
( in(X9,powerset(the_carrier(X0)))
& X8 = X9
& ? [X10] :
( element(X10,powerset(the_carrier(X0)))
& X8 = X10
& closed_subset(X10,X0)
& subset(X1,X8) ) ) )
| ? [X2,X3,X4] :
( X3 != X4
& X2 = X3
& ? [X5] :
( element(X5,powerset(the_carrier(X0)))
& X5 = X3
& closed_subset(X5,X0)
& subset(X1,X3) )
& X2 = X4
& ? [X6] :
( element(X6,powerset(the_carrier(X0)))
& X6 = X4
& closed_subset(X6,X0)
& subset(X1,X4) ) )
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(flattening,[],[f841]) ).
fof(f859,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,[],[f332]) ).
fof(f860,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,[],[f859]) ).
fof(f890,plain,
! [X0] :
( cast_as_carrier_subset(X0) = the_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f356]) ).
fof(f933,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f388]) ).
fof(f1113,definition,
! [X0,X1] :
( ? [X2,X3,X4] :
( X3 != X4
& X2 = X3
& ? [X5] :
( element(X5,powerset(the_carrier(X0)))
& X5 = X3
& closed_subset(X5,X0)
& subset(X1,X3) )
& X2 = X4
& ? [X6] :
( element(X6,powerset(the_carrier(X0)))
& X6 = X4
& closed_subset(X6,X0)
& subset(X1,X4) ) )
| ~ sP11(X0,X1) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f1114,plain,
! [X0,X1] :
( ? [X7] :
! [X8] :
( in(X8,X7)
<=> ? [X9] :
( in(X9,powerset(the_carrier(X0)))
& X8 = X9
& ? [X10] :
( element(X10,powerset(the_carrier(X0)))
& X8 = X10
& closed_subset(X10,X0)
& subset(X1,X8) ) ) )
| sP11(X0,X1)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(definition_folding,[],[f842,f1113]) ).
fof(f1430,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( X3 != X4
& X2 = X3
& ? [X5] :
( element(X5,powerset(the_carrier(X0)))
& X5 = X3
& closed_subset(X5,X0)
& subset(X1,X3) )
& X2 = X4
& ? [X6] :
( element(X6,powerset(the_carrier(X0)))
& X6 = X4
& closed_subset(X6,X0)
& subset(X1,X4) ) )
| ~ sP11(X0,X1) ),
inference(nnf_transformation,[],[f1113]) ).
fof(f1431,plain,
! [X0,X1] :
( ( sK244(X0,X1) != sK245(X0,X1)
& sK243(X0,X1) = sK244(X0,X1)
& element(sK246(X0,X1),powerset(the_carrier(X0)))
& sK244(X0,X1) = sK246(X0,X1)
& closed_subset(sK246(X0,X1),X0)
& subset(X1,sK244(X0,X1))
& sK243(X0,X1) = sK245(X0,X1)
& element(sK247(X0,X1),powerset(the_carrier(X0)))
& sK245(X0,X1) = sK247(X0,X1)
& closed_subset(sK247(X0,X1),X0)
& subset(X1,sK245(X0,X1)) )
| ~ sP11(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK243,sK244,sK245,sK246,sK247]),skolemize(X2,sK243(X0,X1)),skolemize(X3,sK244(X0,X1)),skolemize(X4,sK245(X0,X1)),skolemize(X5,sK246(X0,X1)),skolemize(X6,sK247(X0,X1))],[f1430]) ).
fof(f1432,plain,
! [X0,X1] :
( ? [X7] :
! [X8] :
( ( in(X8,X7)
| ! [X9] :
( ~ in(X9,powerset(the_carrier(X0)))
| X8 != X9
| ! [X10] :
( ~ element(X10,powerset(the_carrier(X0)))
| X8 != X10
| ~ closed_subset(X10,X0)
| ~ subset(X1,X8) ) ) )
& ( ? [X9] :
( in(X9,powerset(the_carrier(X0)))
& X8 = X9
& ? [X10] :
( element(X10,powerset(the_carrier(X0)))
& X8 = X10
& closed_subset(X10,X0)
& subset(X1,X8) ) )
| ~ in(X8,X7) ) )
| sP11(X0,X1)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(nnf_transformation,[],[f1114]) ).
fof(f1433,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ in(X4,powerset(the_carrier(X0)))
| X3 != X4
| ! [X5] :
( ~ element(X5,powerset(the_carrier(X0)))
| X3 != X5
| ~ closed_subset(X5,X0)
| ~ subset(X1,X3) ) ) )
& ( ? [X6] :
( in(X6,powerset(the_carrier(X0)))
& X3 = X6
& ? [X7] :
( element(X7,powerset(the_carrier(X0)))
& X3 = X7
& closed_subset(X7,X0)
& subset(X1,X3) ) )
| ~ in(X3,X2) ) )
| sP11(X0,X1)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(rectify,[],[f1432]) ).
fof(f1434,plain,
! [X0,X1] :
( ! [X3] :
( ( in(X3,sK248(X0,X1))
| ! [X4] :
( ~ in(X4,powerset(the_carrier(X0)))
| X3 != X4
| ! [X5] :
( ~ element(X5,powerset(the_carrier(X0)))
| X3 != X5
| ~ closed_subset(X5,X0)
| ~ subset(X1,X3) ) ) )
& ( ( in(sK249(X0,X1,X3),powerset(the_carrier(X0)))
& sK249(X0,X1,X3) = X3
& element(sK250(X0,X1,X3),powerset(the_carrier(X0)))
& sK250(X0,X1,X3) = X3
& closed_subset(sK250(X0,X1,X3),X0)
& subset(X1,X3) )
| ~ in(X3,sK248(X0,X1)) ) )
| sP11(X0,X1)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK248,sK249,sK250]),skolemize(X2,sK248(X0,X1)),skolemize(X6,sK249(X0,X1,X3)),skolemize(X7,sK250(X0,X1,X3))],[f1433]) ).
fof(f1483,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( ( ~ in(X3,powerset(the_carrier(X0)))
| ! [X4] :
( ~ element(X4,powerset(the_carrier(X0)))
| X3 != X4
| ~ closed_subset(X4,X0)
| ~ subset(X1,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) ) )
| in(X3,X2) ) )
& topological_space(X0)
& top_str(X0)
& element(X1,powerset(the_carrier(X0))) ),
inference(nnf_transformation,[],[f860]) ).
fof(f1484,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( ( ~ in(X3,powerset(the_carrier(X0)))
| ! [X4] :
( ~ element(X4,powerset(the_carrier(X0)))
| X3 != X4
| ~ closed_subset(X4,X0)
| ~ subset(X1,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) ) )
| in(X3,X2) ) )
& topological_space(X0)
& top_str(X0)
& element(X1,powerset(the_carrier(X0))) ),
inference(flattening,[],[f1483]) ).
fof(f1485,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( ( ~ in(X3,powerset(the_carrier(X0)))
| ! [X4] :
( ~ element(X4,powerset(the_carrier(X0)))
| X3 != X4
| ~ closed_subset(X4,X0)
| ~ subset(X1,X3) )
| ~ in(X3,X2) )
& ( ( 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,[],[f1484]) ).
fof(f1486,plain,
( ! [X2] :
( ( ~ in(sK308(X2),powerset(the_carrier(sK306)))
| ! [X4] :
( ~ element(X4,powerset(the_carrier(sK306)))
| sK308(X2) != X4
| ~ closed_subset(X4,sK306)
| ~ subset(sK307,sK308(X2)) )
| ~ in(sK308(X2),X2) )
& ( ( in(sK308(X2),powerset(the_carrier(sK306)))
& element(sK309(X2),powerset(the_carrier(sK306)))
& sK308(X2) = sK309(X2)
& closed_subset(sK309(X2),sK306)
& subset(sK307,sK308(X2)) )
| in(sK308(X2),X2) ) )
& topological_space(sK306)
& top_str(sK306)
& element(sK307,powerset(the_carrier(sK306))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK306,sK307,sK308,sK309]),skolemize(X0,sK306),skolemize(X1,sK307),skolemize(X3,sK308(X2)),skolemize(X5,sK309(X2))],[f1485]) ).
fof(f2056,plain,
! [X0] :
( one_sorted_str(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f704]) ).
fof(f2520,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| sK243(X0,X1) = sK245(X0,X1) ),
inference(cnf_transformation,[],[f1431]) ).
fof(f2525,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| sK243(X0,X1) = sK244(X0,X1) ),
inference(cnf_transformation,[],[f1431]) ).
fof(f2526,plain,
! [X0,X1] :
( sK244(X0,X1) != sK245(X0,X1)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f1431]) ).
fof(f2527,plain,
! [X3,X0,X1] :
( ~ topological_space(X0)
| ~ in(X3,sK248(X0,X1))
| sP11(X0,X1)
| subset(X1,X3)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f1434]) ).
fof(f2528,plain,
! [X3,X0,X1] :
( ~ topological_space(X0)
| ~ in(X3,sK248(X0,X1))
| sP11(X0,X1)
| closed_subset(sK250(X0,X1,X3),X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f1434]) ).
fof(f2529,plain,
! [X3,X0,X1] :
( ~ topological_space(X0)
| ~ in(X3,sK248(X0,X1))
| sP11(X0,X1)
| sK250(X0,X1,X3) = X3
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f1434]) ).
fof(f2531,plain,
! [X3,X0,X1] :
( ~ topological_space(X0)
| ~ in(X3,sK248(X0,X1))
| sP11(X0,X1)
| sK249(X0,X1,X3) = X3
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f1434]) ).
fof(f2532,plain,
! [X3,X0,X1] :
( in(sK249(X0,X1,X3),powerset(the_carrier(X0)))
| ~ in(X3,sK248(X0,X1))
| sP11(X0,X1)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f1434]) ).
fof(f2533,plain,
! [X3,X0,X1,X4,X5] :
( in(X3,sK248(X0,X1))
| ~ in(X4,powerset(the_carrier(X0)))
| X3 != X4
| ~ element(X5,powerset(the_carrier(X0)))
| X3 != X5
| ~ closed_subset(X5,X0)
| ~ subset(X1,X3)
| sP11(X0,X1)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f1434]) ).
fof(f2624,plain,
element(sK307,powerset(the_carrier(sK306))),
inference(cnf_transformation,[],[f1486]) ).
fof(f2625,plain,
top_str(sK306),
inference(cnf_transformation,[],[f1486]) ).
fof(f2626,plain,
topological_space(sK306),
inference(cnf_transformation,[],[f1486]) ).
fof(f2627,plain,
! [X2] :
( subset(sK307,sK308(X2))
| in(sK308(X2),X2) ),
inference(cnf_transformation,[],[f1486]) ).
fof(f2628,plain,
! [X2] :
( in(sK308(X2),X2)
| closed_subset(sK309(X2),sK306) ),
inference(cnf_transformation,[],[f1486]) ).
fof(f2629,plain,
! [X2] :
( in(sK308(X2),X2)
| sK308(X2) = sK309(X2) ),
inference(cnf_transformation,[],[f1486]) ).
fof(f2631,plain,
! [X2] :
( in(sK308(X2),powerset(the_carrier(sK306)))
| in(sK308(X2),X2) ),
inference(cnf_transformation,[],[f1486]) ).
fof(f2632,plain,
! [X2,X4] :
( ~ in(sK308(X2),powerset(the_carrier(sK306)))
| ~ element(X4,powerset(the_carrier(sK306)))
| sK308(X2) != X4
| ~ closed_subset(X4,sK306)
| ~ subset(sK307,sK308(X2))
| ~ in(sK308(X2),X2) ),
inference(cnf_transformation,[],[f1486]) ).
fof(f2719,plain,
! [X0] :
( ~ one_sorted_str(X0)
| the_carrier(X0) = cast_as_carrier_subset(X0) ),
inference(cnf_transformation,[],[f890]) ).
fof(f2765,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f933]) ).
fof(f3496,plain,
! [X0,X1,X4,X5] :
( in(X4,sK248(X0,X1))
| ~ in(X4,powerset(the_carrier(X0)))
| ~ element(X5,powerset(the_carrier(X0)))
| X4 != X5
| ~ closed_subset(X5,X0)
| ~ subset(X1,X4)
| sP11(X0,X1)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(equality_resolution,[],[f2533]) ).
fof(f3497,plain,
! [X0,X1,X5] :
( in(X5,sK248(X0,X1))
| ~ in(X5,powerset(the_carrier(X0)))
| ~ element(X5,powerset(the_carrier(X0)))
| ~ closed_subset(X5,X0)
| ~ subset(X1,X5)
| sP11(X0,X1)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(equality_resolution,[],[f3496]) ).
fof(f3519,plain,
! [X2] :
( ~ in(sK308(X2),powerset(the_carrier(sK306)))
| ~ element(sK308(X2),powerset(the_carrier(sK306)))
| ~ closed_subset(sK308(X2),sK306)
| ~ subset(sK307,sK308(X2))
| ~ in(sK308(X2),X2) ),
inference(equality_resolution,[],[f2632]) ).
fof(f3610,plain,
! [X2] :
( ~ closed_subset(sK308(X2),sK306)
| ~ in(sK308(X2),powerset(the_carrier(sK306)))
| ~ subset(sK307,sK308(X2))
| ~ in(sK308(X2),X2) ),
inference(forward_subsumption_resolution,[],[f3519,f2765]) ).
fof(f3654,plain,
! [X0,X1,X5] :
( ~ closed_subset(X5,X0)
| ~ in(X5,powerset(the_carrier(X0)))
| in(X5,sK248(X0,X1))
| ~ subset(X1,X5)
| sP11(X0,X1)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(forward_subsumption_resolution,[],[f3497,f2765]) ).
fof(f3902,plain,
! [X0,X1] :
( ~ in(X0,sK248(sK306,X1))
| sP11(sK306,X1)
| subset(X1,X0)
| ~ top_str(sK306)
| ~ element(X1,powerset(the_carrier(sK306))) ),
inference(resolution,[],[f2527,f2626]) ).
fof(f3903,plain,
! [X0,X1] :
( ~ element(X1,powerset(the_carrier(sK306)))
| sP11(sK306,X1)
| subset(X1,X0)
| ~ in(X0,sK248(sK306,X1)) ),
inference(forward_subsumption_resolution,[],[f3902,f2625]) ).
fof(f3904,plain,
! [X0] :
( sP11(sK306,sK307)
| subset(sK307,X0)
| ~ in(X0,sK248(sK306,sK307)) ),
inference(resolution,[],[f3903,f2624]) ).
fof(f3907,definition,
( spl370_70
<=> ! [X0] :
( subset(sK307,X0)
| ~ in(X0,sK248(sK306,sK307)) ) ),
introduced(definition,[new_symbols(definition,[spl370_70])],[avatar_definition]) ).
fof(f3908,plain,
( ! [X0] :
( ~ in(X0,sK248(sK306,sK307))
| subset(sK307,X0) )
| ~ spl370_70 ),
inference(avatar_component_clause,[],[f3907]) ).
fof(f3910,definition,
( spl370_71
<=> sP11(sK306,sK307) ),
introduced(definition,[new_symbols(definition,[spl370_71])],[avatar_definition]) ).
fof(f3911,plain,
( sP11(sK306,sK307)
| ~ spl370_71 ),
inference(avatar_component_clause,[],[f3910]) ).
fof(f3912,plain,
( spl370_70
| spl370_71 ),
inference(avatar_split_clause,[],[f3904,f3910,f3907]) ).
fof(f3920,definition,
( spl370_72
<=> sK308(sK248(sK306,sK307)) = sK309(sK248(sK306,sK307)) ),
introduced(definition,[new_symbols(definition,[spl370_72])],[avatar_definition]) ).
fof(f3921,plain,
( sK308(sK248(sK306,sK307)) = sK309(sK248(sK306,sK307))
| ~ spl370_72 ),
inference(avatar_component_clause,[],[f3920]) ).
fof(f3935,definition,
( spl370_76
<=> closed_subset(sK309(sK248(sK306,sK307)),sK306) ),
introduced(definition,[new_symbols(definition,[spl370_76])],[avatar_definition]) ).
fof(f3936,plain,
( closed_subset(sK309(sK248(sK306,sK307)),sK306)
| ~ spl370_76 ),
inference(avatar_component_clause,[],[f3935]) ).
fof(f3939,plain,
! [X0,X1] :
( ~ in(X0,sK248(sK306,X1))
| sP11(sK306,X1)
| sK250(sK306,X1,X0) = X0
| ~ top_str(sK306)
| ~ element(X1,powerset(the_carrier(sK306))) ),
inference(resolution,[],[f2529,f2626]) ).
fof(f3940,plain,
! [X0,X1] :
( ~ element(X1,powerset(the_carrier(sK306)))
| sP11(sK306,X1)
| sK250(sK306,X1,X0) = X0
| ~ in(X0,sK248(sK306,X1)) ),
inference(forward_subsumption_resolution,[],[f3939,f2625]) ).
fof(f3943,plain,
! [X0,X1] :
( ~ in(X0,sK248(sK306,X1))
| sP11(sK306,X1)
| sK249(sK306,X1,X0) = X0
| ~ top_str(sK306)
| ~ element(X1,powerset(the_carrier(sK306))) ),
inference(resolution,[],[f2531,f2626]) ).
fof(f3944,plain,
! [X0,X1] :
( ~ element(X1,powerset(the_carrier(sK306)))
| sP11(sK306,X1)
| sK249(sK306,X1,X0) = X0
| ~ in(X0,sK248(sK306,X1)) ),
inference(forward_subsumption_resolution,[],[f3943,f2625]) ).
fof(f3947,plain,
! [X0,X1] :
( ~ in(X0,sK248(sK306,X1))
| sP11(sK306,X1)
| closed_subset(sK250(sK306,X1,X0),sK306)
| ~ top_str(sK306)
| ~ element(X1,powerset(the_carrier(sK306))) ),
inference(resolution,[],[f2528,f2626]) ).
fof(f3948,plain,
! [X0,X1] :
( closed_subset(sK250(sK306,X1,X0),sK306)
| sP11(sK306,X1)
| ~ in(X0,sK248(sK306,X1))
| ~ element(X1,powerset(the_carrier(sK306))) ),
inference(forward_subsumption_resolution,[],[f3947,f2625]) ).
fof(f3961,plain,
! [X0] :
( ~ top_str(X0)
| the_carrier(X0) = cast_as_carrier_subset(X0) ),
inference(resolution,[],[f2719,f2056]) ).
fof(f3962,plain,
the_carrier(sK306) = cast_as_carrier_subset(sK306),
inference(resolution,[],[f3961,f2625]) ).
fof(f3963,plain,
element(sK307,powerset(cast_as_carrier_subset(sK306))),
inference(superposition,[],[f2624,f3962]) ).
fof(f3968,plain,
! [X0,X1] :
( ~ element(X0,powerset(cast_as_carrier_subset(sK306)))
| sP11(sK306,X0)
| sK250(sK306,X0,X1) = X1
| ~ in(X1,sK248(sK306,X0)) ),
inference(superposition,[],[f3940,f3962]) ).
fof(f3969,plain,
! [X0,X1] :
( ~ element(X0,powerset(cast_as_carrier_subset(sK306)))
| sP11(sK306,X0)
| sK249(sK306,X0,X1) = X1
| ~ in(X1,sK248(sK306,X0)) ),
inference(superposition,[],[f3944,f3962]) ).
fof(f4360,plain,
! [X0] :
( sP11(sK306,sK307)
| sK250(sK306,sK307,X0) = X0
| ~ in(X0,sK248(sK306,sK307)) ),
inference(resolution,[],[f3968,f3963]) ).
fof(f4373,plain,
! [X0] :
( sP11(sK306,sK307)
| sK249(sK306,sK307,X0) = X0
| ~ in(X0,sK248(sK306,sK307)) ),
inference(resolution,[],[f3969,f3963]) ).
fof(f4680,plain,
( sK243(sK306,sK307) = sK245(sK306,sK307)
| ~ spl370_71 ),
inference(resolution,[],[f2520,f3911]) ).
fof(f4691,plain,
( sK243(sK306,sK307) = sK244(sK306,sK307)
| ~ spl370_71 ),
inference(resolution,[],[f2525,f3911]) ).
fof(f4693,plain,
( sK245(sK306,sK307) = sK244(sK306,sK307)
| ~ spl370_71 ),
inference(superposition,[],[f4680,f4691]) ).
fof(f4695,plain,
( sK244(sK306,sK307) != sK244(sK306,sK307)
| ~ sP11(sK306,sK307)
| ~ spl370_71 ),
inference(superposition,[],[f2526,f4693]) ).
fof(f4696,plain,
( ~ sP11(sK306,sK307)
| ~ spl370_71 ),
inference(trivial_inequality_removal,[],[f4695]) ).
fof(f4698,plain,
( $false
| ~ spl370_71 ),
inference(forward_subsumption_resolution,[],[f4696,f3911]) ).
fof(f4699,plain,
~ spl370_71,
inference(avatar_contradiction_clause,[],[f4698]) ).
fof(f4701,definition,
( spl370_117
<=> ! [X0] :
( sK250(sK306,sK307,X0) = X0
| ~ in(X0,sK248(sK306,sK307)) ) ),
introduced(definition,[new_symbols(definition,[spl370_117])],[avatar_definition]) ).
fof(f4702,plain,
( ! [X0] :
( ~ in(X0,sK248(sK306,sK307))
| sK250(sK306,sK307,X0) = X0 )
| ~ spl370_117 ),
inference(avatar_component_clause,[],[f4701]) ).
fof(f4705,definition,
( spl370_118
<=> ! [X0] :
( sK249(sK306,sK307,X0) = X0
| ~ in(X0,sK248(sK306,sK307)) ) ),
introduced(definition,[new_symbols(definition,[spl370_118])],[avatar_definition]) ).
fof(f4706,plain,
( ! [X0] :
( ~ in(X0,sK248(sK306,sK307))
| sK249(sK306,sK307,X0) = X0 )
| ~ spl370_118 ),
inference(avatar_component_clause,[],[f4705]) ).
fof(f4712,plain,
( spl370_117
| spl370_71 ),
inference(avatar_split_clause,[],[f4360,f3910,f4701]) ).
fof(f4713,plain,
( spl370_118
| spl370_71 ),
inference(avatar_split_clause,[],[f4373,f3910,f4705]) ).
fof(f4730,plain,
( sK308(sK248(sK306,sK307)) = sK249(sK306,sK307,sK308(sK248(sK306,sK307)))
| closed_subset(sK309(sK248(sK306,sK307)),sK306)
| ~ spl370_118 ),
inference(resolution,[],[f4706,f2628]) ).
fof(f4731,plain,
( sK308(sK248(sK306,sK307)) = sK249(sK306,sK307,sK308(sK248(sK306,sK307)))
| sK308(sK248(sK306,sK307)) = sK309(sK248(sK306,sK307))
| ~ spl370_118 ),
inference(resolution,[],[f4706,f2629]) ).
fof(f4733,plain,
( sK308(sK248(sK306,sK307)) = sK249(sK306,sK307,sK308(sK248(sK306,sK307)))
| in(sK308(sK248(sK306,sK307)),powerset(the_carrier(sK306)))
| ~ spl370_118 ),
inference(resolution,[],[f4706,f2631]) ).
fof(f4750,definition,
( spl370_123
<=> sK308(sK248(sK306,sK307)) = sK249(sK306,sK307,sK308(sK248(sK306,sK307))) ),
introduced(definition,[new_symbols(definition,[spl370_123])],[avatar_definition]) ).
fof(f4751,plain,
( sK308(sK248(sK306,sK307)) = sK249(sK306,sK307,sK308(sK248(sK306,sK307)))
| ~ spl370_123 ),
inference(avatar_component_clause,[],[f4750]) ).
fof(f4784,definition,
( spl370_132
<=> in(sK308(sK248(sK306,sK307)),powerset(cast_as_carrier_subset(sK306))) ),
introduced(definition,[new_symbols(definition,[spl370_132])],[avatar_definition]) ).
fof(f4785,plain,
( in(sK308(sK248(sK306,sK307)),powerset(cast_as_carrier_subset(sK306)))
| ~ spl370_132 ),
inference(avatar_component_clause,[],[f4784]) ).
fof(f4793,plain,
( in(sK308(sK248(sK306,sK307)),powerset(cast_as_carrier_subset(sK306)))
| sK308(sK248(sK306,sK307)) = sK249(sK306,sK307,sK308(sK248(sK306,sK307)))
| ~ spl370_118 ),
inference(forward_demodulation,[],[f4733,f3962]) ).
fof(f4795,plain,
( spl370_72
| spl370_123
| ~ spl370_118 ),
inference(avatar_split_clause,[],[f4731,f4705,f4750,f3920]) ).
fof(f4796,plain,
( spl370_76
| spl370_123
| ~ spl370_118 ),
inference(avatar_split_clause,[],[f4730,f4705,f4750,f3935]) ).
fof(f4803,plain,
( spl370_123
| spl370_132
| ~ spl370_118 ),
inference(avatar_split_clause,[],[f4793,f4705,f4784,f4750]) ).
fof(f4813,plain,
( sK308(sK248(sK306,sK307)) = sK250(sK306,sK307,sK308(sK248(sK306,sK307)))
| closed_subset(sK309(sK248(sK306,sK307)),sK306)
| ~ spl370_117 ),
inference(resolution,[],[f4702,f2628]) ).
fof(f4814,plain,
( sK308(sK248(sK306,sK307)) = sK250(sK306,sK307,sK308(sK248(sK306,sK307)))
| sK308(sK248(sK306,sK307)) = sK309(sK248(sK306,sK307))
| ~ spl370_117 ),
inference(resolution,[],[f4702,f2629]) ).
fof(f4830,definition,
( spl370_136
<=> sK308(sK248(sK306,sK307)) = sK250(sK306,sK307,sK308(sK248(sK306,sK307))) ),
introduced(definition,[new_symbols(definition,[spl370_136])],[avatar_definition]) ).
fof(f4831,plain,
( sK308(sK248(sK306,sK307)) = sK250(sK306,sK307,sK308(sK248(sK306,sK307)))
| ~ spl370_136 ),
inference(avatar_component_clause,[],[f4830]) ).
fof(f4845,plain,
( spl370_72
| spl370_136
| ~ spl370_117 ),
inference(avatar_split_clause,[],[f4814,f4701,f4830,f3920]) ).
fof(f4846,plain,
( spl370_76
| spl370_136
| ~ spl370_117 ),
inference(avatar_split_clause,[],[f4813,f4701,f4830,f3935]) ).
fof(f4856,plain,
( closed_subset(sK308(sK248(sK306,sK307)),sK306)
| ~ spl370_72
| ~ spl370_76 ),
inference(forward_demodulation,[],[f3936,f3921]) ).
fof(f4924,plain,
( in(sK308(sK248(sK306,sK307)),powerset(the_carrier(sK306)))
| ~ in(sK308(sK248(sK306,sK307)),sK248(sK306,sK307))
| sP11(sK306,sK307)
| ~ topological_space(sK306)
| ~ top_str(sK306)
| ~ element(sK307,powerset(the_carrier(sK306)))
| ~ spl370_123 ),
inference(superposition,[],[f2532,f4751]) ).
fof(f4925,plain,
( in(sK308(sK248(sK306,sK307)),powerset(the_carrier(sK306)))
| sP11(sK306,sK307)
| ~ topological_space(sK306)
| ~ top_str(sK306)
| ~ element(sK307,powerset(the_carrier(sK306)))
| ~ spl370_123 ),
inference(forward_subsumption_resolution,[],[f4924,f2631]) ).
fof(f4926,plain,
( in(sK308(sK248(sK306,sK307)),powerset(the_carrier(sK306)))
| sP11(sK306,sK307)
| ~ top_str(sK306)
| ~ element(sK307,powerset(the_carrier(sK306)))
| ~ spl370_123 ),
inference(forward_subsumption_resolution,[],[f4925,f2626]) ).
fof(f4927,plain,
( in(sK308(sK248(sK306,sK307)),powerset(the_carrier(sK306)))
| sP11(sK306,sK307)
| ~ element(sK307,powerset(the_carrier(sK306)))
| ~ spl370_123 ),
inference(forward_subsumption_resolution,[],[f4926,f2625]) ).
fof(f4928,plain,
( in(sK308(sK248(sK306,sK307)),powerset(the_carrier(sK306)))
| sP11(sK306,sK307)
| ~ spl370_123 ),
inference(forward_subsumption_resolution,[],[f4927,f2624]) ).
fof(f4929,plain,
( in(sK308(sK248(sK306,sK307)),powerset(cast_as_carrier_subset(sK306)))
| sP11(sK306,sK307)
| ~ spl370_123 ),
inference(forward_demodulation,[],[f4928,f3962]) ).
fof(f4936,plain,
( ~ in(sK308(sK248(sK306,sK307)),powerset(the_carrier(sK306)))
| ~ subset(sK307,sK308(sK248(sK306,sK307)))
| ~ in(sK308(sK248(sK306,sK307)),sK248(sK306,sK307))
| ~ spl370_72
| ~ spl370_76 ),
inference(resolution,[],[f4856,f3610]) ).
fof(f4939,plain,
( ! [X0] :
( ~ in(sK308(sK248(sK306,sK307)),powerset(the_carrier(sK306)))
| in(sK308(sK248(sK306,sK307)),sK248(sK306,X0))
| ~ subset(X0,sK308(sK248(sK306,sK307)))
| sP11(sK306,X0)
| ~ topological_space(sK306)
| ~ top_str(sK306)
| ~ element(X0,powerset(the_carrier(sK306))) )
| ~ spl370_72
| ~ spl370_76 ),
inference(resolution,[],[f4856,f3654]) ).
fof(f4940,plain,
( ! [X0] :
( ~ in(sK308(sK248(sK306,sK307)),powerset(the_carrier(sK306)))
| in(sK308(sK248(sK306,sK307)),sK248(sK306,X0))
| ~ subset(X0,sK308(sK248(sK306,sK307)))
| sP11(sK306,X0)
| ~ top_str(sK306)
| ~ element(X0,powerset(the_carrier(sK306))) )
| ~ spl370_72
| ~ spl370_76 ),
inference(forward_subsumption_resolution,[],[f4939,f2626]) ).
fof(f4943,plain,
( ~ in(sK308(sK248(sK306,sK307)),powerset(the_carrier(sK306)))
| ~ in(sK308(sK248(sK306,sK307)),sK248(sK306,sK307))
| ~ spl370_70
| ~ spl370_72
| ~ spl370_76 ),
inference(forward_subsumption_resolution,[],[f4936,f3908]) ).
fof(f4944,plain,
( ! [X0] :
( ~ in(sK308(sK248(sK306,sK307)),powerset(the_carrier(sK306)))
| in(sK308(sK248(sK306,sK307)),sK248(sK306,X0))
| ~ subset(X0,sK308(sK248(sK306,sK307)))
| sP11(sK306,X0)
| ~ element(X0,powerset(the_carrier(sK306))) )
| ~ spl370_72
| ~ spl370_76 ),
inference(forward_subsumption_resolution,[],[f4940,f2625]) ).
fof(f4946,plain,
( ~ in(sK308(sK248(sK306,sK307)),powerset(cast_as_carrier_subset(sK306)))
| ~ in(sK308(sK248(sK306,sK307)),sK248(sK306,sK307))
| ~ spl370_70
| ~ spl370_72
| ~ spl370_76 ),
inference(forward_demodulation,[],[f4943,f3962]) ).
fof(f4947,plain,
( ! [X0] :
( ~ in(sK308(sK248(sK306,sK307)),powerset(cast_as_carrier_subset(sK306)))
| in(sK308(sK248(sK306,sK307)),sK248(sK306,X0))
| ~ subset(X0,sK308(sK248(sK306,sK307)))
| sP11(sK306,X0)
| ~ element(X0,powerset(the_carrier(sK306))) )
| ~ spl370_72
| ~ spl370_76 ),
inference(forward_demodulation,[],[f4944,f3962]) ).
fof(f4949,plain,
( ~ in(sK308(sK248(sK306,sK307)),sK248(sK306,sK307))
| ~ spl370_70
| ~ spl370_72
| ~ spl370_76
| ~ spl370_132 ),
inference(forward_subsumption_resolution,[],[f4946,f4785]) ).
fof(f4950,plain,
( ! [X0] :
( in(sK308(sK248(sK306,sK307)),sK248(sK306,X0))
| ~ subset(X0,sK308(sK248(sK306,sK307)))
| sP11(sK306,X0)
| ~ element(X0,powerset(the_carrier(sK306))) )
| ~ spl370_72
| ~ spl370_76
| ~ spl370_132 ),
inference(forward_subsumption_resolution,[],[f4947,f4785]) ).
fof(f4952,plain,
( ! [X0] :
( ~ subset(X0,sK308(sK248(sK306,sK307)))
| in(sK308(sK248(sK306,sK307)),sK248(sK306,X0))
| ~ element(X0,powerset(cast_as_carrier_subset(sK306)))
| sP11(sK306,X0) )
| ~ spl370_72
| ~ spl370_76
| ~ spl370_132 ),
inference(forward_demodulation,[],[f4950,f3962]) ).
fof(f5061,plain,
( in(sK308(sK248(sK306,sK307)),sK248(sK306,sK307))
| ~ element(sK307,powerset(cast_as_carrier_subset(sK306)))
| sP11(sK306,sK307)
| in(sK308(sK248(sK306,sK307)),sK248(sK306,sK307))
| ~ spl370_72
| ~ spl370_76
| ~ spl370_132 ),
inference(resolution,[],[f4952,f2627]) ).
fof(f5063,plain,
( in(sK308(sK248(sK306,sK307)),sK248(sK306,sK307))
| ~ element(sK307,powerset(cast_as_carrier_subset(sK306)))
| sP11(sK306,sK307)
| ~ spl370_72
| ~ spl370_76
| ~ spl370_132 ),
inference(duplicate_literal_removal,[],[f5061]) ).
fof(f5077,plain,
( ~ element(sK307,powerset(cast_as_carrier_subset(sK306)))
| sP11(sK306,sK307)
| ~ spl370_70
| ~ spl370_72
| ~ spl370_76
| ~ spl370_132 ),
inference(forward_subsumption_resolution,[],[f5063,f4949]) ).
fof(f5080,plain,
( sP11(sK306,sK307)
| ~ spl370_70
| ~ spl370_72
| ~ spl370_76
| ~ spl370_132 ),
inference(forward_subsumption_resolution,[],[f5077,f3963]) ).
fof(f5089,plain,
( spl370_71
| ~ spl370_70
| ~ spl370_72
| ~ spl370_76
| ~ spl370_132 ),
inference(avatar_split_clause,[],[f5080,f4784,f3935,f3920,f3907,f3910]) ).
fof(f5091,plain,
( spl370_71
| spl370_132
| ~ spl370_123 ),
inference(avatar_split_clause,[],[f4929,f4750,f4784,f3910]) ).
fof(f5093,definition,
( spl370_148
<=> in(sK308(sK248(sK306,sK307)),sK248(sK306,sK307)) ),
introduced(definition,[new_symbols(definition,[spl370_148])],[avatar_definition]) ).
fof(f5094,plain,
( ~ in(sK308(sK248(sK306,sK307)),sK248(sK306,sK307))
| spl370_148 ),
inference(avatar_component_clause,[],[f5093]) ).
fof(f5109,plain,
( closed_subset(sK308(sK248(sK306,sK307)),sK306)
| sP11(sK306,sK307)
| ~ in(sK308(sK248(sK306,sK307)),sK248(sK306,sK307))
| ~ element(sK307,powerset(the_carrier(sK306)))
| ~ spl370_136 ),
inference(superposition,[],[f3948,f4831]) ).
fof(f5110,plain,
( closed_subset(sK308(sK248(sK306,sK307)),sK306)
| sP11(sK306,sK307)
| ~ in(sK308(sK248(sK306,sK307)),sK248(sK306,sK307))
| ~ spl370_136 ),
inference(forward_subsumption_resolution,[],[f5109,f2624]) ).
fof(f5118,definition,
( spl370_151
<=> closed_subset(sK308(sK248(sK306,sK307)),sK306) ),
introduced(definition,[new_symbols(definition,[spl370_151])],[avatar_definition]) ).
fof(f5119,plain,
( closed_subset(sK308(sK248(sK306,sK307)),sK306)
| ~ spl370_151 ),
inference(avatar_component_clause,[],[f5118]) ).
fof(f5120,plain,
( ~ spl370_148
| spl370_71
| spl370_151
| ~ spl370_136 ),
inference(avatar_split_clause,[],[f5110,f4830,f5118,f3910,f5093]) ).
fof(f5126,plain,
( closed_subset(sK309(sK248(sK306,sK307)),sK306)
| spl370_148 ),
inference(resolution,[],[f5094,f2628]) ).
fof(f5164,plain,
( ~ in(sK308(sK248(sK306,sK307)),powerset(the_carrier(sK306)))
| ~ subset(sK307,sK308(sK248(sK306,sK307)))
| ~ in(sK308(sK248(sK306,sK307)),sK248(sK306,sK307))
| ~ spl370_151 ),
inference(resolution,[],[f5119,f3610]) ).
fof(f5171,plain,
( ~ in(sK308(sK248(sK306,sK307)),powerset(the_carrier(sK306)))
| ~ in(sK308(sK248(sK306,sK307)),sK248(sK306,sK307))
| ~ spl370_70
| ~ spl370_151 ),
inference(forward_subsumption_resolution,[],[f5164,f3908]) ).
fof(f5199,plain,
( ~ in(sK308(sK248(sK306,sK307)),powerset(cast_as_carrier_subset(sK306)))
| ~ in(sK308(sK248(sK306,sK307)),sK248(sK306,sK307))
| ~ spl370_70
| ~ spl370_151 ),
inference(forward_demodulation,[],[f5171,f3962]) ).
fof(f5203,plain,
( ~ in(sK308(sK248(sK306,sK307)),sK248(sK306,sK307))
| ~ spl370_70
| ~ spl370_132
| ~ spl370_151 ),
inference(forward_subsumption_resolution,[],[f5199,f4785]) ).
fof(f5204,plain,
( ~ spl370_148
| ~ spl370_70
| ~ spl370_132
| ~ spl370_151 ),
inference(avatar_split_clause,[],[f5203,f5118,f4784,f3907,f5093]) ).
fof(f5205,plain,
( spl370_76
| spl370_148 ),
inference(avatar_split_clause,[],[f5126,f5093,f3935]) ).
fof(f5210,plain,
( sK308(sK248(sK306,sK307)) = sK309(sK248(sK306,sK307))
| spl370_148 ),
inference(resolution,[],[f5094,f2629]) ).
fof(f5229,plain,
( spl370_72
| spl370_148 ),
inference(avatar_split_clause,[],[f5210,f5093,f3920]) ).
cnf(s66,plain,
( spl370_70
| spl370_71 ),
inference(sat_conversion,[],[f3912]) ).
cnf(s104,plain,
~ spl370_71,
inference(sat_conversion,[],[f4699]) ).
cnf(s109,plain,
( spl370_71
| spl370_117 ),
inference(sat_conversion,[],[f4712]) ).
cnf(s110,plain,
( spl370_71
| spl370_118 ),
inference(sat_conversion,[],[f4713]) ).
cnf(s121,plain,
( spl370_72
| ~ spl370_118
| spl370_123 ),
inference(sat_conversion,[],[f4795]) ).
cnf(s122,plain,
( spl370_76
| ~ spl370_118
| spl370_123 ),
inference(sat_conversion,[],[f4796]) ).
cnf(s125,plain,
( ~ spl370_118
| spl370_123
| spl370_132 ),
inference(sat_conversion,[],[f4803]) ).
cnf(s137,plain,
( spl370_72
| ~ spl370_117
| spl370_136 ),
inference(sat_conversion,[],[f4845]) ).
cnf(s138,plain,
( spl370_76
| ~ spl370_117
| spl370_136 ),
inference(sat_conversion,[],[f4846]) ).
cnf(s151,plain,
( ~ spl370_70
| spl370_71
| ~ spl370_72
| ~ spl370_76
| ~ spl370_132 ),
inference(sat_conversion,[],[f5089]) ).
cnf(s153,plain,
( spl370_71
| ~ spl370_123
| spl370_132 ),
inference(sat_conversion,[],[f5091]) ).
cnf(s158,plain,
( spl370_71
| ~ spl370_136
| ~ spl370_148
| spl370_151 ),
inference(sat_conversion,[],[f5120]) ).
cnf(s170,plain,
( ~ spl370_70
| ~ spl370_132
| ~ spl370_148
| ~ spl370_151 ),
inference(sat_conversion,[],[f5204]) ).
cnf(s171,plain,
( spl370_76
| spl370_148 ),
inference(sat_conversion,[],[f5205]) ).
cnf(s176,plain,
( spl370_72
| spl370_148 ),
inference(sat_conversion,[],[f5229]) ).
cnf(s177,plain,
spl370_118,
inference(rat,[],[s110,s104]) ).
cnf(s178,plain,
spl370_117,
inference(rat,[],[s109,s104]) ).
cnf(s188,plain,
spl370_70,
inference(rat,[],[s66,s104]) ).
cnf(s190,plain,
spl370_72,
inference(rat,[],[s170,s153,s158,s121,s137,s176,s188,s104,s177,s178]) ).
cnf(s191,plain,
spl370_76,
inference(rat,[],[s170,s153,s158,s122,s138,s171,s188,s104,s177,s178]) ).
cnf(s192,plain,
~ spl370_132,
inference(rat,[],[s151,s190,s188,s104,s191]) ).
cnf(s194,plain,
~ spl370_123,
inference(rat,[],[s153,s104,s192]) ).
cnf(s195,plain,
$false,
inference(rat,[],[s125,s177,s192,s194]) ).
fof(f5230,plain,
$false,
inference(avatar_sat_refutation,[],[s195]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU314+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n009.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 04:39:30 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.65/2.43 % (2663058)Detected formulas, will run a generic FOF schedule.
% 10.65/2.43 % (2663067)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=265765711:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.65/2.43 % (2663068)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3238320810:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.65/2.43 % (2663063)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=948145408:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.65/2.43 % (2663066)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=634846107:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.65/2.43 % (2663064)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=1802029283:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.65/2.43 % (2663065)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=4109229731:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.65/2.43 % (2663067)Instruction limit reached!
% 10.65/2.43 % (2663067)------------------------------
% 10.65/2.43 % (2663067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.43 % (2663067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.43 % (2663067)CaDiCaL version: 2.1.3
% 10.65/2.43 % (2663067)Termination reason: Instruction limit
% 10.65/2.43 % (2663067)Termination phase: Saturation
% 10.65/2.43 % (2663067)Time elapsed: 0.043 s
% 10.65/2.43 % (2663067)Peak memory usage: 90 MB
% 10.65/2.43 % (2663067)Instructions burned: 121 (million)
% 10.65/2.43 % (2663069)dis-21_1_sil=8000:lcm=predicate:random_seed=3211516948: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)
% 10.65/2.43 % (2663066)Instruction limit reached!
% 10.65/2.43 % (2663066)------------------------------
% 10.65/2.43 % (2663066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.43 % (2663066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.43 % (2663066)CaDiCaL version: 2.1.3
% 10.65/2.43 % (2663066)Termination reason: Instruction limit
% 10.65/2.43 % (2663066)Termination phase: Saturation
% 10.65/2.43 % (2663066)Time elapsed: 0.068 s
% 10.65/2.43 % (2663066)Peak memory usage: 91 MB
% 10.65/2.43 % (2663066)Instructions burned: 110 (million)
% 10.65/2.43 % (2663069)Instruction limit reached!
% 10.65/2.43 % (2663069)------------------------------
% 10.65/2.43 % (2663069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.43 % (2663069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.43 % (2663069)CaDiCaL version: 2.1.3
% 10.65/2.43 % (2663069)Termination reason: Instruction limit
% 10.65/2.43 % (2663069)Termination phase: Saturation
% 10.65/2.43 % (2663069)Time elapsed: 0.089 s
% 10.65/2.43 % (2663069)Peak memory usage: 90 MB
% 10.65/2.43 % (2663069)Instructions burned: 130 (million)
% 10.65/2.43 % (2663068)Instruction limit reached!
% 10.65/2.43 % (2663068)------------------------------
% 10.65/2.43 % (2663068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.43 % (2663068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.43 % (2663068)CaDiCaL version: 2.1.3
% 10.65/2.43 % (2663068)Termination reason: Instruction limit
% 10.65/2.43 % (2663068)Termination phase: Saturation
% 10.65/2.43 % (2663068)Time elapsed: 0.117 s
% 10.65/2.43 % (2663068)Peak memory usage: 91 MB
% 10.65/2.43 % (2663068)Instructions burned: 139 (million)
% 10.65/2.43 % (2663076)lrs+10_1_sil=8000:sp=occurrence:random_seed=3334698430:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.65/2.43 % (2663078)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4272759844:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.65/2.43 % (2663076)Instruction limit reached!
% 10.65/2.43 % (2663076)------------------------------
% 10.65/2.43 % (2663076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.43 % (2663076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.43 % (2663076)CaDiCaL version: 2.1.3
% 10.65/2.43 % (2663076)Termination reason: Instruction limit
% 10.65/2.43 % (2663076)Termination phase: Saturation
% 10.65/2.43 % (2663076)Time elapsed: 0.100 s
% 10.65/2.43 % (2663076)Peak memory usage: 94 MB
% 10.65/2.43 % (2663076)Instructions burned: 287 (million)
% 10.65/2.43 % (2663079)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1143569201:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.65/2.43 % (2663080)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=1129775201:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 10.65/2.43 % (2663078)Instruction limit reached!
% 10.65/2.43 % (2663078)------------------------------
% 10.65/2.43 % (2663078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.43 % (2663078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.43 % (2663078)CaDiCaL version: 2.1.3
% 10.65/2.43 % (2663078)Termination reason: Instruction limit
% 10.65/2.43 % (2663078)Termination phase: Saturation
% 10.65/2.43 % (2663078)Time elapsed: 0.092 s
% 10.65/2.43 % (2663078)Peak memory usage: 90 MB
% 10.65/2.43 % (2663078)Instructions burned: 159 (million)
% 10.65/2.43 % (2663083)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3903039652:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 10.65/2.43 % (2663080)Instruction limit reached!
% 10.65/2.43 % (2663080)------------------------------
% 10.65/2.43 % (2663080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.43 % (2663080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.43 % (2663080)CaDiCaL version: 2.1.3
% 10.65/2.43 % (2663080)Termination reason: Instruction limit
% 10.65/2.43 % (2663080)Termination phase: Saturation
% 10.65/2.43 % (2663080)Time elapsed: 0.149 s
% 10.65/2.43 % (2663080)Peak memory usage: 93 MB
% 10.65/2.43 % (2663080)Instructions burned: 249 (million)
% 10.65/2.43 % (2663083)Instruction limit reached!
% 10.65/2.43 % (2663083)------------------------------
% 10.65/2.43 % (2663083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.43 % (2663083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.43 % (2663083)CaDiCaL version: 2.1.3
% 10.65/2.43 % (2663083)Termination reason: Instruction limit
% 10.65/2.43 % (2663083)Termination phase: Saturation
% 10.65/2.43 % (2663083)Time elapsed: 0.100 s
% 10.65/2.43 % (2663083)Peak memory usage: 92 MB
% 10.65/2.43 % (2663083)Instructions burned: 296 (million)
% 10.65/2.43 % (2663086)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2458374720:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 10.65/2.43 % (2663079)Instruction limit reached!
% 10.65/2.43 % (2663079)------------------------------
% 10.65/2.43 % (2663079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.43 % (2663079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.43 % (2663079)CaDiCaL version: 2.1.3
% 10.65/2.43 % (2663079)Termination reason: Instruction limit
% 10.65/2.43 % (2663079)Termination phase: Saturation
% 10.65/2.43 % (2663079)Time elapsed: 0.222 s
% 10.65/2.43 % (2663079)Peak memory usage: 95 MB
% 10.65/2.43 % (2663079)Instructions burned: 326 (million)
% 10.65/2.43 % (2663089)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2026950826:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 10.65/2.43 % (2663089)Instruction limit reached!
% 10.65/2.43 % (2663089)------------------------------
% 10.65/2.43 % (2663089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.43 % (2663089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.43 % (2663089)CaDiCaL version: 2.1.3
% 10.65/2.43 % (2663089)Termination reason: Instruction limit
% 10.65/2.43 % (2663089)Termination phase: Saturation
% 10.65/2.43 % (2663089)Time elapsed: 0.039 s
% 10.65/2.43 % (2663089)Peak memory usage: 91 MB
% 10.65/2.43 % (2663089)Instructions burned: 129 (million)
% 10.65/2.43 % (2663088)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3862047828:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 10.65/2.43 % (2663091)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=331545546:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 10.65/2.43 % (2663088)Instruction limit reached!
% 10.65/2.43 % (2663088)------------------------------
% 10.65/2.43 % (2663088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.43 % (2663088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.43 % (2663088)CaDiCaL version: 2.1.3
% 10.65/2.43 % (2663088)Termination reason: Instruction limit
% 10.65/2.43 % (2663088)Termination phase: Saturation
% 10.65/2.43 % (2663088)Time elapsed: 0.072 s
% 10.65/2.43 % (2663088)Peak memory usage: 91 MB
% 10.65/2.43 % (2663088)Instructions burned: 114 (million)
% 10.65/2.43 % (2663091)Instruction limit reached!
% 10.65/2.43 % (2663091)------------------------------
% 10.65/2.43 % (2663091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.43 % (2663094)lrs+10_1_sil=8000:sp=occurrence:random_seed=1612759720:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 10.65/2.43 % (2663091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.43 % (2663091)CaDiCaL version: 2.1.3
% 10.65/2.43 % (2663091)Termination reason: Instruction limit
% 10.65/2.43 % (2663091)Termination phase: Saturation
% 10.65/2.43 % (2663091)Time elapsed: 0.057 s
% 10.65/2.43 % (2663091)Peak memory usage: 90 MB
% 10.65/2.43 % (2663091)Instructions burned: 115 (million)
% 10.65/2.43 % (2663096)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=640595115:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 10.65/2.43 % (2663098)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2597929414:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 10.65/2.43 % (2663094)Instruction limit reached!
% 10.65/2.43 % (2663094)------------------------------
% 10.65/2.43 % (2663094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.43 % (2663094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.43 % (2663094)CaDiCaL version: 2.1.3
% 10.65/2.43 % (2663094)Termination reason: Instruction limit
% 10.65/2.43 % (2663094)Termination phase: Saturation
% 10.65/2.43 % (2663094)Time elapsed: 0.309 s
% 10.65/2.43 % (2663094)Peak memory usage: 103 MB
% 10.65/2.43 % (2663094)Instructions burned: 907 (million)
% 10.65/2.43 % (2663096)Instruction limit reached!
% 10.65/2.43 % (2663096)------------------------------
% 10.65/2.43 % (2663096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.43 % (2663096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.43 % (2663096)CaDiCaL version: 2.1.3
% 10.65/2.43 % (2663096)Termination reason: Instruction limit
% 10.65/2.43 % (2663096)Termination phase: Saturation
% 10.65/2.43 % (2663096)Time elapsed: 0.269 s
% 10.65/2.43 % (2663096)Peak memory usage: 94 MB
% 10.65/2.43 % (2663096)Instructions burned: 437 (million)
% 10.65/2.43 % (2663064)First to succeed.
% 10.65/2.43 % (2663064)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2663058"
% 10.65/2.43 % (2663101)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1952682248:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 10.65/2.43 % (2663063)Also succeeded, but the first one will report.
% 10.65/2.43 % (2663101)Instruction limit reached!
% 10.65/2.43 % (2663101)------------------------------
% 10.65/2.43 % (2663101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.43 % (2663101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.43 % (2663101)CaDiCaL version: 2.1.3
% 10.65/2.43 % (2663101)Termination reason: Instruction limit
% 10.65/2.43 % (2663101)Termination phase: Saturation
% 10.65/2.43 % (2663101)Time elapsed: 0.043 s
% 10.65/2.43 % (2663101)Peak memory usage: 92 MB
% 10.65/2.43 % (2663101)Instructions burned: 138 (million)
% 10.65/2.43 % (2663102)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1062929987:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 10.65/2.43 % (2663104)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3376059763:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 10.65/2.43 % (2663064)Refutation found. Thanks to Tanya!
% 10.65/2.43 % SZS status Theorem for theBenchmark
% 10.65/2.43 % SZS output start Proof for theBenchmark
% See solution above
% 11.47/2.63 % (2663064)------------------------------
% 11.47/2.63 % (2663064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.47/2.63 % (2663064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.63 % (2663064)CaDiCaL version: 2.1.3
% 11.47/2.63 % (2663064)Termination reason: Refutation
% 11.47/2.63 % (2663064)Time elapsed: 1.112 s
% 11.47/2.63 % (2663064)Peak memory usage: 148 MB
% 11.47/2.63 % (2663064)Instructions burned: 1699 (million)
% 11.47/2.63 % (2663064)------------------------------
% 11.47/2.63 % (2663064)------------------------------
% 11.47/2.63 % (2663058)Success in time 1.567 s
% 11.47/2.63 % Vampire exiting
%------------------------------------------------------------------------------