TSTP Solution File: SEU310+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU310+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 1 03:51:45 EDT 2024
% Result : Theorem 0.63s 0.79s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of formulae : 77 ( 5 unt; 0 def)
% Number of atoms : 417 ( 60 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 515 ( 175 ~; 202 |; 114 &)
% ( 9 <=>; 13 =>; 0 <=; 2 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 2 con; 0-3 aty)
% Number of variables : 155 ( 100 !; 55 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f243,plain,
$false,
inference(avatar_sat_refutation,[],[f192,f202,f242]) ).
fof(f242,plain,
( ~ spl13_1
| spl13_2 ),
inference(avatar_contradiction_clause,[],[f241]) ).
fof(f241,plain,
( $false
| ~ spl13_1
| spl13_2 ),
inference(subsumption_resolution,[],[f240,f207]) ).
fof(f207,plain,
( in(sK3(sK7(sK1,sK2)),sK7(sK1,sK2))
| ~ spl13_1 ),
inference(factoring,[],[f187]) ).
fof(f187,plain,
( ! [X0] :
( in(sK3(X0),sK7(sK1,sK2))
| in(sK3(X0),X0) )
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f186,plain,
( spl13_1
<=> ! [X0] :
( in(sK3(X0),sK7(sK1,sK2))
| in(sK3(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f240,plain,
( ~ in(sK3(sK7(sK1,sK2)),sK7(sK1,sK2))
| ~ spl13_1
| spl13_2 ),
inference(subsumption_resolution,[],[f237,f232]) ).
fof(f232,plain,
( in(sK3(sK7(sK1,sK2)),powerset(the_carrier(sK1)))
| ~ spl13_1
| spl13_2 ),
inference(backward_demodulation,[],[f223,f231]) ).
fof(f231,plain,
( sK3(sK7(sK1,sK2)) = sK8(sK1,sK2,sK3(sK7(sK1,sK2)))
| ~ spl13_1
| spl13_2 ),
inference(subsumption_resolution,[],[f230,f105]) ).
fof(f105,plain,
topological_space(sK1),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ! [X2] :
( ( ~ in(set_difference(cast_as_carrier_subset(sK1),sK3(X2)),sK2)
| ~ in(sK3(X2),powerset(the_carrier(sK1)))
| ~ in(sK3(X2),X2) )
& ( ( in(set_difference(cast_as_carrier_subset(sK1),sK3(X2)),sK2)
& in(sK3(X2),powerset(the_carrier(sK1))) )
| in(sK3(X2),X2) ) )
& element(sK2,powerset(powerset(the_carrier(sK1))))
& top_str(sK1)
& topological_space(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f84,f86,f85]) ).
fof(f85,plain,
( ? [X0,X1] :
( ! [X2] :
? [X3] :
( ( ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| ~ in(X3,powerset(the_carrier(X0)))
| ~ in(X3,X2) )
& ( ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& in(X3,powerset(the_carrier(X0))) )
| in(X3,X2) ) )
& element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) )
=> ( ! [X2] :
? [X3] :
( ( ~ in(set_difference(cast_as_carrier_subset(sK1),X3),sK2)
| ~ in(X3,powerset(the_carrier(sK1)))
| ~ in(X3,X2) )
& ( ( in(set_difference(cast_as_carrier_subset(sK1),X3),sK2)
& in(X3,powerset(the_carrier(sK1))) )
| in(X3,X2) ) )
& element(sK2,powerset(powerset(the_carrier(sK1))))
& top_str(sK1)
& topological_space(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X2] :
( ? [X3] :
( ( ~ in(set_difference(cast_as_carrier_subset(sK1),X3),sK2)
| ~ in(X3,powerset(the_carrier(sK1)))
| ~ in(X3,X2) )
& ( ( in(set_difference(cast_as_carrier_subset(sK1),X3),sK2)
& in(X3,powerset(the_carrier(sK1))) )
| in(X3,X2) ) )
=> ( ( ~ in(set_difference(cast_as_carrier_subset(sK1),sK3(X2)),sK2)
| ~ in(sK3(X2),powerset(the_carrier(sK1)))
| ~ in(sK3(X2),X2) )
& ( ( in(set_difference(cast_as_carrier_subset(sK1),sK3(X2)),sK2)
& in(sK3(X2),powerset(the_carrier(sK1))) )
| in(sK3(X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( ( ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| ~ in(X3,powerset(the_carrier(X0)))
| ~ in(X3,X2) )
& ( ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& in(X3,powerset(the_carrier(X0))) )
| in(X3,X2) ) )
& element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( ( ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| ~ in(X3,powerset(the_carrier(X0)))
| ~ in(X3,X2) )
& ( ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& in(X3,powerset(the_carrier(X0))) )
| in(X3,X2) ) )
& element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( in(X3,X2)
<~> ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& in(X3,powerset(the_carrier(X0))) ) )
& element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( in(X3,X2)
<~> ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& in(X3,powerset(the_carrier(X0))) ) )
& element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( ( element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& in(X3,powerset(the_carrier(X0))) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1] :
( ( element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& in(X3,powerset(the_carrier(X0))) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.XxHhwM8ED3/Vampire---4.8_29709',s1_xboole_0__e2_37_1_1__pre_topc__1) ).
fof(f230,plain,
( sK3(sK7(sK1,sK2)) = sK8(sK1,sK2,sK3(sK7(sK1,sK2)))
| ~ topological_space(sK1)
| ~ spl13_1
| spl13_2 ),
inference(subsumption_resolution,[],[f229,f106]) ).
fof(f106,plain,
top_str(sK1),
inference(cnf_transformation,[],[f87]) ).
fof(f229,plain,
( sK3(sK7(sK1,sK2)) = sK8(sK1,sK2,sK3(sK7(sK1,sK2)))
| ~ top_str(sK1)
| ~ topological_space(sK1)
| ~ spl13_1
| spl13_2 ),
inference(subsumption_resolution,[],[f228,f107]) ).
fof(f107,plain,
element(sK2,powerset(powerset(the_carrier(sK1)))),
inference(cnf_transformation,[],[f87]) ).
fof(f228,plain,
( sK3(sK7(sK1,sK2)) = sK8(sK1,sK2,sK3(sK7(sK1,sK2)))
| ~ element(sK2,powerset(powerset(the_carrier(sK1))))
| ~ top_str(sK1)
| ~ topological_space(sK1)
| ~ spl13_1
| spl13_2 ),
inference(subsumption_resolution,[],[f218,f190]) ).
fof(f190,plain,
( ~ sP0(sK2,sK1)
| spl13_2 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f189,plain,
( spl13_2
<=> sP0(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f218,plain,
( sK3(sK7(sK1,sK2)) = sK8(sK1,sK2,sK3(sK7(sK1,sK2)))
| sP0(sK2,sK1)
| ~ element(sK2,powerset(powerset(the_carrier(sK1))))
| ~ top_str(sK1)
| ~ topological_space(sK1)
| ~ spl13_1 ),
inference(resolution,[],[f207,f117]) ).
fof(f117,plain,
! [X3,X0,X1] :
( ~ in(X3,sK7(X0,X1))
| sK8(X0,X1,X3) = X3
| sP0(X1,X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( ! [X3] :
( ( in(X3,sK7(X0,X1))
| ! [X4] :
( ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| X3 != X4
| ~ in(X4,powerset(the_carrier(X0))) ) )
& ( ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& sK8(X0,X1,X3) = X3
& in(sK8(X0,X1,X3),powerset(the_carrier(X0))) )
| ~ in(X3,sK7(X0,X1)) ) )
| sP0(X1,X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f93,f95,f94]) ).
fof(f94,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| X3 != X4
| ~ in(X4,powerset(the_carrier(X0))) ) )
& ( ? [X5] :
( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& X3 = X5
& in(X5,powerset(the_carrier(X0))) )
| ~ in(X3,X2) ) )
=> ! [X3] :
( ( in(X3,sK7(X0,X1))
| ! [X4] :
( ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| X3 != X4
| ~ in(X4,powerset(the_carrier(X0))) ) )
& ( ? [X5] :
( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& X3 = X5
& in(X5,powerset(the_carrier(X0))) )
| ~ in(X3,sK7(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
! [X0,X1,X3] :
( ? [X5] :
( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& X3 = X5
& in(X5,powerset(the_carrier(X0))) )
=> ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& sK8(X0,X1,X3) = X3
& in(sK8(X0,X1,X3),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| X3 != X4
| ~ in(X4,powerset(the_carrier(X0))) ) )
& ( ? [X5] :
( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& X3 = X5
& in(X5,powerset(the_carrier(X0))) )
| ~ in(X3,X2) ) )
| sP0(X1,X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ? [X5] :
! [X6] :
( ( in(X6,X5)
| ! [X7] :
( ~ in(set_difference(cast_as_carrier_subset(X0),X6),X1)
| X6 != X7
| ~ in(X7,powerset(the_carrier(X0))) ) )
& ( ? [X7] :
( in(set_difference(cast_as_carrier_subset(X0),X6),X1)
& X6 = X7
& in(X7,powerset(the_carrier(X0))) )
| ~ in(X6,X5) ) )
| sP0(X1,X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( ? [X5] :
! [X6] :
( in(X6,X5)
<=> ? [X7] :
( in(set_difference(cast_as_carrier_subset(X0),X6),X1)
& X6 = X7
& in(X7,powerset(the_carrier(X0))) ) )
| sP0(X1,X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(definition_folding,[],[f59,f81]) ).
fof(f81,plain,
! [X1,X0] :
( ? [X2,X3,X4] :
( X3 != X4
& in(set_difference(cast_as_carrier_subset(X0),X4),X1)
& X2 = X4
& in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& X2 = X3 )
| ~ sP0(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f59,plain,
! [X0,X1] :
( ? [X5] :
! [X6] :
( in(X6,X5)
<=> ? [X7] :
( in(set_difference(cast_as_carrier_subset(X0),X6),X1)
& X6 = X7
& in(X7,powerset(the_carrier(X0))) ) )
| ? [X2,X3,X4] :
( X3 != X4
& in(set_difference(cast_as_carrier_subset(X0),X4),X1)
& X2 = X4
& in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& X2 = X3 )
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ? [X5] :
! [X6] :
( in(X6,X5)
<=> ? [X7] :
( in(set_difference(cast_as_carrier_subset(X0),X6),X1)
& X6 = X7
& in(X7,powerset(the_carrier(X0))) ) )
| ? [X2,X3,X4] :
( X3 != X4
& in(set_difference(cast_as_carrier_subset(X0),X4),X1)
& X2 = X4
& in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& X2 = X3 )
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ( element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) )
=> ( ! [X2,X3,X4] :
( ( in(set_difference(cast_as_carrier_subset(X0),X4),X1)
& X2 = X4
& in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& X2 = X3 )
=> X3 = X4 )
=> ? [X5] :
! [X6] :
( in(X6,X5)
<=> ? [X7] :
( in(set_difference(cast_as_carrier_subset(X0),X6),X1)
& X6 = X7
& in(X7,powerset(the_carrier(X0))) ) ) ) ),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X0,X1] :
( ( element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) )
=> ( ! [X2,X3,X4] :
( ( in(set_difference(cast_as_carrier_subset(X0),X4),X1)
& X2 = X4
& in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& X2 = X3 )
=> X3 = X4 )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& X3 = X4
& in(X4,powerset(the_carrier(X0))) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.XxHhwM8ED3/Vampire---4.8_29709',s1_tarski__e2_37_1_1__pre_topc__1) ).
fof(f223,plain,
( in(sK8(sK1,sK2,sK3(sK7(sK1,sK2))),powerset(the_carrier(sK1)))
| ~ spl13_1
| spl13_2 ),
inference(subsumption_resolution,[],[f222,f105]) ).
fof(f222,plain,
( in(sK8(sK1,sK2,sK3(sK7(sK1,sK2))),powerset(the_carrier(sK1)))
| ~ topological_space(sK1)
| ~ spl13_1
| spl13_2 ),
inference(subsumption_resolution,[],[f221,f106]) ).
fof(f221,plain,
( in(sK8(sK1,sK2,sK3(sK7(sK1,sK2))),powerset(the_carrier(sK1)))
| ~ top_str(sK1)
| ~ topological_space(sK1)
| ~ spl13_1
| spl13_2 ),
inference(subsumption_resolution,[],[f220,f107]) ).
fof(f220,plain,
( in(sK8(sK1,sK2,sK3(sK7(sK1,sK2))),powerset(the_carrier(sK1)))
| ~ element(sK2,powerset(powerset(the_carrier(sK1))))
| ~ top_str(sK1)
| ~ topological_space(sK1)
| ~ spl13_1
| spl13_2 ),
inference(subsumption_resolution,[],[f216,f190]) ).
fof(f216,plain,
( in(sK8(sK1,sK2,sK3(sK7(sK1,sK2))),powerset(the_carrier(sK1)))
| sP0(sK2,sK1)
| ~ element(sK2,powerset(powerset(the_carrier(sK1))))
| ~ top_str(sK1)
| ~ topological_space(sK1)
| ~ spl13_1 ),
inference(resolution,[],[f207,f116]) ).
fof(f116,plain,
! [X3,X0,X1] :
( ~ in(X3,sK7(X0,X1))
| in(sK8(X0,X1,X3),powerset(the_carrier(X0)))
| sP0(X1,X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f237,plain,
( ~ in(sK3(sK7(sK1,sK2)),powerset(the_carrier(sK1)))
| ~ in(sK3(sK7(sK1,sK2)),sK7(sK1,sK2))
| ~ spl13_1
| spl13_2 ),
inference(resolution,[],[f227,f110]) ).
fof(f110,plain,
! [X2] :
( ~ in(set_difference(cast_as_carrier_subset(sK1),sK3(X2)),sK2)
| ~ in(sK3(X2),powerset(the_carrier(sK1)))
| ~ in(sK3(X2),X2) ),
inference(cnf_transformation,[],[f87]) ).
fof(f227,plain,
( in(set_difference(cast_as_carrier_subset(sK1),sK3(sK7(sK1,sK2))),sK2)
| ~ spl13_1
| spl13_2 ),
inference(subsumption_resolution,[],[f226,f105]) ).
fof(f226,plain,
( in(set_difference(cast_as_carrier_subset(sK1),sK3(sK7(sK1,sK2))),sK2)
| ~ topological_space(sK1)
| ~ spl13_1
| spl13_2 ),
inference(subsumption_resolution,[],[f225,f106]) ).
fof(f225,plain,
( in(set_difference(cast_as_carrier_subset(sK1),sK3(sK7(sK1,sK2))),sK2)
| ~ top_str(sK1)
| ~ topological_space(sK1)
| ~ spl13_1
| spl13_2 ),
inference(subsumption_resolution,[],[f224,f107]) ).
fof(f224,plain,
( in(set_difference(cast_as_carrier_subset(sK1),sK3(sK7(sK1,sK2))),sK2)
| ~ element(sK2,powerset(powerset(the_carrier(sK1))))
| ~ top_str(sK1)
| ~ topological_space(sK1)
| ~ spl13_1
| spl13_2 ),
inference(subsumption_resolution,[],[f217,f190]) ).
fof(f217,plain,
( in(set_difference(cast_as_carrier_subset(sK1),sK3(sK7(sK1,sK2))),sK2)
| sP0(sK2,sK1)
| ~ element(sK2,powerset(powerset(the_carrier(sK1))))
| ~ top_str(sK1)
| ~ topological_space(sK1)
| ~ spl13_1 ),
inference(resolution,[],[f207,f118]) ).
fof(f118,plain,
! [X3,X0,X1] :
( ~ in(X3,sK7(X0,X1))
| in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| sP0(X1,X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f202,plain,
~ spl13_2,
inference(avatar_contradiction_clause,[],[f201]) ).
fof(f201,plain,
( $false
| ~ spl13_2 ),
inference(subsumption_resolution,[],[f200,f191]) ).
fof(f191,plain,
( sP0(sK2,sK1)
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f200,plain,
( ~ sP0(sK2,sK1)
| ~ spl13_2 ),
inference(subsumption_resolution,[],[f199,f196]) ).
fof(f196,plain,
( sK5(sK2,sK1) = sK4(sK2,sK1)
| ~ spl13_2 ),
inference(resolution,[],[f191,f111]) ).
fof(f111,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| sK4(X0,X1) = sK5(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ( sK5(X0,X1) != sK6(X0,X1)
& in(set_difference(cast_as_carrier_subset(X1),sK6(X0,X1)),X0)
& sK4(X0,X1) = sK6(X0,X1)
& in(set_difference(cast_as_carrier_subset(X1),sK5(X0,X1)),X0)
& sK4(X0,X1) = sK5(X0,X1) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f89,f90]) ).
fof(f90,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( X3 != X4
& in(set_difference(cast_as_carrier_subset(X1),X4),X0)
& X2 = X4
& in(set_difference(cast_as_carrier_subset(X1),X3),X0)
& X2 = X3 )
=> ( sK5(X0,X1) != sK6(X0,X1)
& in(set_difference(cast_as_carrier_subset(X1),sK6(X0,X1)),X0)
& sK4(X0,X1) = sK6(X0,X1)
& in(set_difference(cast_as_carrier_subset(X1),sK5(X0,X1)),X0)
& sK4(X0,X1) = sK5(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( X3 != X4
& in(set_difference(cast_as_carrier_subset(X1),X4),X0)
& X2 = X4
& in(set_difference(cast_as_carrier_subset(X1),X3),X0)
& X2 = X3 )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
! [X1,X0] :
( ? [X2,X3,X4] :
( X3 != X4
& in(set_difference(cast_as_carrier_subset(X0),X4),X1)
& X2 = X4
& in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& X2 = X3 )
| ~ sP0(X1,X0) ),
inference(nnf_transformation,[],[f81]) ).
fof(f199,plain,
( sK5(sK2,sK1) != sK4(sK2,sK1)
| ~ sP0(sK2,sK1)
| ~ spl13_2 ),
inference(superposition,[],[f115,f195]) ).
fof(f195,plain,
( sK6(sK2,sK1) = sK4(sK2,sK1)
| ~ spl13_2 ),
inference(resolution,[],[f191,f113]) ).
fof(f113,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| sK4(X0,X1) = sK6(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f115,plain,
! [X0,X1] :
( sK5(X0,X1) != sK6(X0,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f192,plain,
( spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f184,f189,f186]) ).
fof(f184,plain,
! [X0] :
( sP0(sK2,sK1)
| in(sK3(X0),sK7(sK1,sK2))
| in(sK3(X0),X0) ),
inference(subsumption_resolution,[],[f183,f108]) ).
fof(f108,plain,
! [X2] :
( in(sK3(X2),powerset(the_carrier(sK1)))
| in(sK3(X2),X2) ),
inference(cnf_transformation,[],[f87]) ).
fof(f183,plain,
! [X0] :
( ~ in(sK3(X0),powerset(the_carrier(sK1)))
| sP0(sK2,sK1)
| in(sK3(X0),sK7(sK1,sK2))
| in(sK3(X0),X0) ),
inference(subsumption_resolution,[],[f182,f107]) ).
fof(f182,plain,
! [X0] :
( ~ in(sK3(X0),powerset(the_carrier(sK1)))
| sP0(sK2,sK1)
| ~ element(sK2,powerset(powerset(the_carrier(sK1))))
| in(sK3(X0),sK7(sK1,sK2))
| in(sK3(X0),X0) ),
inference(resolution,[],[f181,f109]) ).
fof(f109,plain,
! [X2] :
( in(set_difference(cast_as_carrier_subset(sK1),sK3(X2)),sK2)
| in(sK3(X2),X2) ),
inference(cnf_transformation,[],[f87]) ).
fof(f181,plain,
! [X0,X1] :
( ~ in(set_difference(cast_as_carrier_subset(sK1),X0),X1)
| ~ in(X0,powerset(the_carrier(sK1)))
| sP0(X1,sK1)
| ~ element(X1,powerset(powerset(the_carrier(sK1))))
| in(X0,sK7(sK1,X1)) ),
inference(subsumption_resolution,[],[f180,f105]) ).
fof(f180,plain,
! [X0,X1] :
( ~ in(set_difference(cast_as_carrier_subset(sK1),X0),X1)
| ~ in(X0,powerset(the_carrier(sK1)))
| sP0(X1,sK1)
| ~ element(X1,powerset(powerset(the_carrier(sK1))))
| in(X0,sK7(sK1,X1))
| ~ topological_space(sK1) ),
inference(resolution,[],[f174,f106]) ).
fof(f174,plain,
! [X0,X1,X4] :
( ~ top_str(X0)
| ~ in(set_difference(cast_as_carrier_subset(X0),X4),X1)
| ~ in(X4,powerset(the_carrier(X0)))
| sP0(X1,X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| in(X4,sK7(X0,X1))
| ~ topological_space(X0) ),
inference(equality_resolution,[],[f119]) ).
fof(f119,plain,
! [X3,X0,X1,X4] :
( in(X3,sK7(X0,X1))
| ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| X3 != X4
| ~ in(X4,powerset(the_carrier(X0)))
| sP0(X1,X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : SEU310+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 16:23:40 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.XxHhwM8ED3/Vampire---4.8_29709
% 0.63/0.78 % (29905)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.63/0.78 % (29904)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.63/0.78 % (29907)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.63/0.78 % (29906)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.78 % (29909)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.63/0.78 % (29908)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.63/0.78 % (29910)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.63/0.78 % (29911)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.63/0.78 % (29907)Refutation not found, incomplete strategy% (29907)------------------------------
% 0.63/0.78 % (29907)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.78 % (29907)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.78
% 0.63/0.78 % (29907)Memory used [KB]: 1040
% 0.63/0.78 % (29907)Time elapsed: 0.004 s
% 0.63/0.78 % (29907)Instructions burned: 3 (million)
% 0.63/0.78 % (29907)------------------------------
% 0.63/0.78 % (29907)------------------------------
% 0.63/0.78 % (29909)Refutation not found, incomplete strategy% (29909)------------------------------
% 0.63/0.78 % (29909)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.78 % (29909)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.78
% 0.63/0.78 % (29909)Memory used [KB]: 1047
% 0.63/0.78 % (29909)Time elapsed: 0.003 s
% 0.63/0.78 % (29909)Instructions burned: 3 (million)
% 0.63/0.78 % (29909)------------------------------
% 0.63/0.78 % (29909)------------------------------
% 0.63/0.78 % (29911)Refutation not found, incomplete strategy% (29911)------------------------------
% 0.63/0.78 % (29911)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.78 % (29911)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.78
% 0.63/0.78 % (29911)Memory used [KB]: 1043
% 0.63/0.78 % (29911)Time elapsed: 0.004 s
% 0.63/0.78 % (29911)Instructions burned: 3 (million)
% 0.63/0.78 % (29911)------------------------------
% 0.63/0.78 % (29911)------------------------------
% 0.63/0.79 % (29910)Refutation not found, incomplete strategy% (29910)------------------------------
% 0.63/0.79 % (29910)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.79 % (29910)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.79
% 0.63/0.79 % (29910)Memory used [KB]: 1060
% 0.63/0.79 % (29910)Time elapsed: 0.005 s
% 0.63/0.79 % (29910)Instructions burned: 5 (million)
% 0.63/0.79 % (29910)------------------------------
% 0.63/0.79 % (29910)------------------------------
% 0.63/0.79 % (29904)Refutation not found, incomplete strategy% (29904)------------------------------
% 0.63/0.79 % (29904)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.79 % (29904)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.79
% 0.63/0.79 % (29904)Memory used [KB]: 1061
% 0.63/0.79 % (29904)Time elapsed: 0.006 s
% 0.63/0.79 % (29904)Instructions burned: 7 (million)
% 0.63/0.79 % (29904)------------------------------
% 0.63/0.79 % (29904)------------------------------
% 0.63/0.79 % (29908)Refutation not found, incomplete strategy% (29908)------------------------------
% 0.63/0.79 % (29908)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.79 % (29908)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.79
% 0.63/0.79 % (29908)Memory used [KB]: 1149
% 0.63/0.79 % (29908)Time elapsed: 0.006 s
% 0.63/0.79 % (29908)Instructions burned: 7 (million)
% 0.63/0.79 % (29908)------------------------------
% 0.63/0.79 % (29908)------------------------------
% 0.63/0.79 % (29906)First to succeed.
% 0.63/0.79 % (29912)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.63/0.79 % (29914)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.63/0.79 % (29913)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.63/0.79 % (29915)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.63/0.79 % (29916)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.63/0.79 % (29906)Refutation found. Thanks to Tanya!
% 0.63/0.79 % SZS status Theorem for Vampire---4
% 0.63/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.79 % (29906)------------------------------
% 0.63/0.79 % (29906)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.79 % (29906)Termination reason: Refutation
% 0.63/0.79
% 0.63/0.79 % (29906)Memory used [KB]: 1152
% 0.63/0.79 % (29906)Time elapsed: 0.010 s
% 0.63/0.79 % (29906)Instructions burned: 13 (million)
% 0.63/0.79 % (29906)------------------------------
% 0.63/0.79 % (29906)------------------------------
% 0.63/0.79 % (29876)Success in time 0.426 s
% 0.63/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------