TSTP Solution File: SEU310+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU310+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n005.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 Aug 31 18:28:38 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 81 ( 4 unt; 0 def)
% Number of atoms : 323 ( 45 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 395 ( 153 ~; 175 |; 43 &)
% ( 13 <=>; 9 =>; 0 <=; 2 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 7 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 2 con; 0-3 aty)
% Number of variables : 119 ( 96 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f571,plain,
$false,
inference(avatar_sat_refutation,[],[f254,f266,f272,f280,f504,f532,f553,f565,f570]) ).
fof(f570,plain,
( spl13_9
| ~ spl13_13
| ~ spl13_15 ),
inference(avatar_split_clause,[],[f569,f263,f251,f228]) ).
fof(f228,plain,
( spl13_9
<=> ! [X5] :
( sP4(X5,sK11,sK10)
| ~ in(X5,sK3(sK10,sK11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).
fof(f251,plain,
( spl13_13
<=> sK0(sK10,sK11) = sK1(sK10,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_13])]) ).
fof(f263,plain,
( spl13_15
<=> sK2(sK10,sK11) = sK0(sK10,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_15])]) ).
fof(f569,plain,
( ! [X0] :
( sP4(X0,sK11,sK10)
| ~ in(X0,sK3(sK10,sK11)) )
| ~ spl13_13
| ~ spl13_15 ),
inference(subsumption_resolution,[],[f568,f155]) ).
fof(f155,plain,
top_str(sK10),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
? [X1,X0] :
( ! [X2] :
? [X3] :
( ( in(set_difference(cast_as_carrier_subset(X1),X3),X0)
& in(X3,powerset(the_carrier(X1))) )
<~> in(X3,X2) )
& element(X0,powerset(powerset(the_carrier(X1))))
& topological_space(X1)
& top_str(X1) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( ( in(set_difference(cast_as_carrier_subset(X1),X3),X0)
& in(X3,powerset(the_carrier(X1))) )
<~> in(X3,X2) )
& element(X0,powerset(powerset(the_carrier(X1))))
& topological_space(X1)
& top_str(X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X0,X1] :
( ( element(X0,powerset(powerset(the_carrier(X1))))
& topological_space(X1)
& top_str(X1) )
=> ? [X2] :
! [X3] :
( ( in(set_difference(cast_as_carrier_subset(X1),X3),X0)
& in(X3,powerset(the_carrier(X1))) )
<=> in(X3,X2) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X1,X0] :
( ( 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,[],[f1]) ).
fof(f1,conjecture,
! [X1,X0] :
( ( 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(f568,plain,
( ! [X0] :
( ~ top_str(sK10)
| ~ in(X0,sK3(sK10,sK11))
| sP4(X0,sK11,sK10) )
| ~ spl13_13
| ~ spl13_15 ),
inference(subsumption_resolution,[],[f567,f157]) ).
fof(f157,plain,
element(sK11,powerset(powerset(the_carrier(sK10)))),
inference(cnf_transformation,[],[f85]) ).
fof(f567,plain,
( ! [X0] :
( sP4(X0,sK11,sK10)
| ~ in(X0,sK3(sK10,sK11))
| ~ element(sK11,powerset(powerset(the_carrier(sK10))))
| ~ top_str(sK10) )
| ~ spl13_13
| ~ spl13_15 ),
inference(subsumption_resolution,[],[f566,f156]) ).
fof(f156,plain,
topological_space(sK10),
inference(cnf_transformation,[],[f85]) ).
fof(f566,plain,
( ! [X0] :
( sP4(X0,sK11,sK10)
| ~ topological_space(sK10)
| ~ top_str(sK10)
| ~ in(X0,sK3(sK10,sK11))
| ~ element(sK11,powerset(powerset(the_carrier(sK10)))) )
| ~ spl13_13
| ~ spl13_15 ),
inference(subsumption_resolution,[],[f559,f253]) ).
fof(f253,plain,
( sK0(sK10,sK11) = sK1(sK10,sK11)
| ~ spl13_13 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f559,plain,
( ! [X0] :
( ~ in(X0,sK3(sK10,sK11))
| sK0(sK10,sK11) != sK1(sK10,sK11)
| sP4(X0,sK11,sK10)
| ~ topological_space(sK10)
| ~ top_str(sK10)
| ~ element(sK11,powerset(powerset(the_carrier(sK10)))) )
| ~ spl13_15 ),
inference(superposition,[],[f101,f265]) ).
fof(f265,plain,
( sK2(sK10,sK11) = sK0(sK10,sK11)
| ~ spl13_15 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f101,plain,
! [X0,X1,X6] :
( sK1(X0,X1) != sK2(X0,X1)
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ in(X6,sK3(X0,X1))
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| sP4(X6,X1,X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X1,X0] :
( ? [X5] :
! [X6] :
( in(X6,X5)
<=> ? [X7] :
( in(X7,powerset(the_carrier(X0)))
& in(set_difference(cast_as_carrier_subset(X0),X6),X1)
& X6 = X7 ) )
| ? [X4,X2,X3] :
( X3 = X4
& X2 = X4
& in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& in(set_difference(cast_as_carrier_subset(X0),X2),X1)
& X2 != X3 )
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X1,X0] :
( ? [X5] :
! [X6] :
( in(X6,X5)
<=> ? [X7] :
( in(X7,powerset(the_carrier(X0)))
& in(set_difference(cast_as_carrier_subset(X0),X6),X1)
& X6 = X7 ) )
| ? [X3,X4,X2] :
( X2 != X3
& in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& X3 = X4
& in(set_difference(cast_as_carrier_subset(X0),X2),X1)
& X2 = X4 )
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X1,X0] :
( ( topological_space(X0)
& top_str(X0)
& element(X1,powerset(powerset(the_carrier(X0)))) )
=> ( ! [X3,X4,X2] :
( ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& X3 = X4
& in(set_difference(cast_as_carrier_subset(X0),X2),X1)
& X2 = X4 )
=> X2 = X3 )
=> ? [X5] :
! [X6] :
( in(X6,X5)
<=> ? [X7] :
( in(X7,powerset(the_carrier(X0)))
& in(set_difference(cast_as_carrier_subset(X0),X6),X1)
& X6 = X7 ) ) ) ),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X0,X1] :
( ( topological_space(X0)
& top_str(X0)
& element(X1,powerset(powerset(the_carrier(X0)))) )
=> ( ! [X4,X3,X2] :
( ( 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] :
( X3 = X4
& in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& in(X4,powerset(the_carrier(X0))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e2_37_1_1__pre_topc__1) ).
fof(f565,plain,
( spl13_7
| ~ spl13_13
| ~ spl13_15 ),
inference(avatar_split_clause,[],[f564,f263,f251,f218]) ).
fof(f218,plain,
( spl13_7
<=> ! [X6] :
( in(X6,sK3(sK10,sK11))
| ~ sP4(X6,sK11,sK10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).
fof(f564,plain,
( ! [X1] :
( in(X1,sK3(sK10,sK11))
| ~ sP4(X1,sK11,sK10) )
| ~ spl13_13
| ~ spl13_15 ),
inference(subsumption_resolution,[],[f563,f155]) ).
fof(f563,plain,
( ! [X1] :
( ~ sP4(X1,sK11,sK10)
| ~ top_str(sK10)
| in(X1,sK3(sK10,sK11)) )
| ~ spl13_13
| ~ spl13_15 ),
inference(subsumption_resolution,[],[f562,f157]) ).
fof(f562,plain,
( ! [X1] :
( ~ element(sK11,powerset(powerset(the_carrier(sK10))))
| ~ top_str(sK10)
| ~ sP4(X1,sK11,sK10)
| in(X1,sK3(sK10,sK11)) )
| ~ spl13_13
| ~ spl13_15 ),
inference(subsumption_resolution,[],[f561,f156]) ).
fof(f561,plain,
( ! [X1] :
( ~ topological_space(sK10)
| ~ top_str(sK10)
| in(X1,sK3(sK10,sK11))
| ~ sP4(X1,sK11,sK10)
| ~ element(sK11,powerset(powerset(the_carrier(sK10)))) )
| ~ spl13_13
| ~ spl13_15 ),
inference(subsumption_resolution,[],[f560,f253]) ).
fof(f560,plain,
( ! [X1] :
( sK0(sK10,sK11) != sK1(sK10,sK11)
| ~ element(sK11,powerset(powerset(the_carrier(sK10))))
| ~ top_str(sK10)
| ~ sP4(X1,sK11,sK10)
| in(X1,sK3(sK10,sK11))
| ~ topological_space(sK10) )
| ~ spl13_15 ),
inference(superposition,[],[f100,f265]) ).
fof(f100,plain,
! [X0,X1,X6] :
( sK1(X0,X1) != sK2(X0,X1)
| in(X6,sK3(X0,X1))
| ~ topological_space(X0)
| ~ sP4(X6,X1,X0)
| ~ top_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(cnf_transformation,[],[f80]) ).
fof(f553,plain,
( spl13_27
| ~ spl13_9
| ~ spl13_28 ),
inference(avatar_split_clause,[],[f549,f423,f228,f419]) ).
fof(f419,plain,
( spl13_27
<=> in(sK12(sK3(sK10,sK11)),powerset(the_carrier(sK10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_27])]) ).
fof(f423,plain,
( spl13_28
<=> sP4(sK12(sK3(sK10,sK11)),sK11,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_28])]) ).
fof(f549,plain,
( in(sK12(sK3(sK10,sK11)),powerset(the_carrier(sK10)))
| ~ spl13_9
| ~ spl13_28 ),
inference(backward_demodulation,[],[f508,f474]) ).
fof(f474,plain,
( sK12(sK3(sK10,sK11)) = sK5(sK10,sK11,sK12(sK3(sK10,sK11)))
| ~ spl13_9 ),
inference(subsumption_resolution,[],[f473,f89]) ).
fof(f89,plain,
! [X0,X1,X6] :
( ~ sP4(X6,X1,X0)
| sK5(X0,X1,X6) = X6 ),
inference(cnf_transformation,[],[f80]) ).
fof(f473,plain,
( sP4(sK12(sK3(sK10,sK11)),sK11,sK10)
| sK12(sK3(sK10,sK11)) = sK5(sK10,sK11,sK12(sK3(sK10,sK11)))
| ~ spl13_9 ),
inference(resolution,[],[f430,f229]) ).
fof(f229,plain,
( ! [X5] :
( ~ in(X5,sK3(sK10,sK11))
| sP4(X5,sK11,sK10) )
| ~ spl13_9 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f430,plain,
! [X3] :
( in(sK12(X3),X3)
| sK5(sK10,sK11,sK12(X3)) = sK12(X3) ),
inference(resolution,[],[f294,f89]) ).
fof(f294,plain,
! [X0] :
( sP4(sK12(X0),sK11,sK10)
| in(sK12(X0),X0) ),
inference(subsumption_resolution,[],[f292,f153]) ).
fof(f153,plain,
! [X2] :
( in(sK12(X2),powerset(the_carrier(sK10)))
| in(sK12(X2),X2) ),
inference(cnf_transformation,[],[f85]) ).
fof(f292,plain,
! [X0] :
( in(sK12(X0),X0)
| sP4(sK12(X0),sK11,sK10)
| ~ in(sK12(X0),powerset(the_carrier(sK10))) ),
inference(resolution,[],[f154,f161]) ).
fof(f161,plain,
! [X0,X1,X7] :
( ~ in(set_difference(cast_as_carrier_subset(X0),X7),X1)
| ~ in(X7,powerset(the_carrier(X0)))
| sP4(X7,X1,X0) ),
inference(equality_resolution,[],[f88]) ).
fof(f88,plain,
! [X0,X1,X6,X7] :
( X6 != X7
| ~ in(set_difference(cast_as_carrier_subset(X0),X6),X1)
| ~ in(X7,powerset(the_carrier(X0)))
| sP4(X6,X1,X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f154,plain,
! [X2] :
( in(set_difference(cast_as_carrier_subset(sK10),sK12(X2)),sK11)
| in(sK12(X2),X2) ),
inference(cnf_transformation,[],[f85]) ).
fof(f508,plain,
( in(sK5(sK10,sK11,sK12(sK3(sK10,sK11))),powerset(the_carrier(sK10)))
| ~ spl13_28 ),
inference(unit_resulting_resolution,[],[f425,f91]) ).
fof(f91,plain,
! [X0,X1,X6] :
( ~ sP4(X6,X1,X0)
| in(sK5(X0,X1,X6),powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f80]) ).
fof(f425,plain,
( sP4(sK12(sK3(sK10,sK11)),sK11,sK10)
| ~ spl13_28 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f532,plain,
( ~ spl13_27
| ~ spl13_7
| ~ spl13_28 ),
inference(avatar_split_clause,[],[f514,f423,f218,f419]) ).
fof(f514,plain,
( ~ in(sK12(sK3(sK10,sK11)),powerset(the_carrier(sK10)))
| ~ spl13_7
| ~ spl13_28 ),
inference(unit_resulting_resolution,[],[f467,f507,f152]) ).
fof(f152,plain,
! [X2] :
( ~ in(set_difference(cast_as_carrier_subset(sK10),sK12(X2)),sK11)
| ~ in(sK12(X2),X2)
| ~ in(sK12(X2),powerset(the_carrier(sK10))) ),
inference(cnf_transformation,[],[f85]) ).
fof(f507,plain,
( in(set_difference(cast_as_carrier_subset(sK10),sK12(sK3(sK10,sK11))),sK11)
| ~ spl13_28 ),
inference(unit_resulting_resolution,[],[f425,f90]) ).
fof(f90,plain,
! [X0,X1,X6] :
( ~ sP4(X6,X1,X0)
| in(set_difference(cast_as_carrier_subset(X0),X6),X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f467,plain,
( in(sK12(sK3(sK10,sK11)),sK3(sK10,sK11))
| ~ spl13_7 ),
inference(factoring,[],[f427]) ).
fof(f427,plain,
( ! [X0] :
( in(sK12(X0),sK3(sK10,sK11))
| in(sK12(X0),X0) )
| ~ spl13_7 ),
inference(resolution,[],[f294,f219]) ).
fof(f219,plain,
( ! [X6] :
( ~ sP4(X6,sK11,sK10)
| in(X6,sK3(sK10,sK11)) )
| ~ spl13_7 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f504,plain,
( spl13_28
| ~ spl13_7
| ~ spl13_9 ),
inference(avatar_split_clause,[],[f498,f228,f218,f423]) ).
fof(f498,plain,
( sP4(sK12(sK3(sK10,sK11)),sK11,sK10)
| ~ spl13_7
| ~ spl13_9 ),
inference(unit_resulting_resolution,[],[f467,f229]) ).
fof(f280,plain,
( spl13_15
| spl13_9 ),
inference(avatar_split_clause,[],[f279,f228,f263]) ).
fof(f279,plain,
! [X1] :
( ~ in(X1,sK3(sK10,sK11))
| sP4(X1,sK11,sK10)
| sK2(sK10,sK11) = sK0(sK10,sK11) ),
inference(subsumption_resolution,[],[f278,f155]) ).
fof(f278,plain,
! [X1] :
( sK2(sK10,sK11) = sK0(sK10,sK11)
| ~ top_str(sK10)
| ~ in(X1,sK3(sK10,sK11))
| sP4(X1,sK11,sK10) ),
inference(subsumption_resolution,[],[f166,f156]) ).
fof(f166,plain,
! [X1] :
( ~ topological_space(sK10)
| ~ top_str(sK10)
| sK2(sK10,sK11) = sK0(sK10,sK11)
| sP4(X1,sK11,sK10)
| ~ in(X1,sK3(sK10,sK11)) ),
inference(resolution,[],[f157,f93]) ).
fof(f93,plain,
! [X0,X1,X6] :
( ~ element(X1,powerset(powerset(the_carrier(X0))))
| sP4(X6,X1,X0)
| ~ top_str(X0)
| sK2(X0,X1) = sK0(X0,X1)
| ~ topological_space(X0)
| ~ in(X6,sK3(X0,X1)) ),
inference(cnf_transformation,[],[f80]) ).
fof(f272,plain,
( spl13_13
| spl13_9 ),
inference(avatar_split_clause,[],[f271,f228,f251]) ).
fof(f271,plain,
! [X3] :
( sP4(X3,sK11,sK10)
| sK0(sK10,sK11) = sK1(sK10,sK11)
| ~ in(X3,sK3(sK10,sK11)) ),
inference(subsumption_resolution,[],[f270,f156]) ).
fof(f270,plain,
! [X3] :
( sK0(sK10,sK11) = sK1(sK10,sK11)
| sP4(X3,sK11,sK10)
| ~ topological_space(sK10)
| ~ in(X3,sK3(sK10,sK11)) ),
inference(subsumption_resolution,[],[f168,f155]) ).
fof(f168,plain,
! [X3] :
( sP4(X3,sK11,sK10)
| sK0(sK10,sK11) = sK1(sK10,sK11)
| ~ in(X3,sK3(sK10,sK11))
| ~ top_str(sK10)
| ~ topological_space(sK10) ),
inference(resolution,[],[f157,f95]) ).
fof(f95,plain,
! [X0,X1,X6] :
( ~ element(X1,powerset(powerset(the_carrier(X0))))
| sP4(X6,X1,X0)
| ~ topological_space(X0)
| sK1(X0,X1) = sK0(X0,X1)
| ~ in(X6,sK3(X0,X1))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f266,plain,
( spl13_7
| spl13_15 ),
inference(avatar_split_clause,[],[f261,f263,f218]) ).
fof(f261,plain,
! [X0] :
( sK2(sK10,sK11) = sK0(sK10,sK11)
| in(X0,sK3(sK10,sK11))
| ~ sP4(X0,sK11,sK10) ),
inference(subsumption_resolution,[],[f260,f156]) ).
fof(f260,plain,
! [X0] :
( sK2(sK10,sK11) = sK0(sK10,sK11)
| ~ sP4(X0,sK11,sK10)
| in(X0,sK3(sK10,sK11))
| ~ topological_space(sK10) ),
inference(subsumption_resolution,[],[f165,f155]) ).
fof(f165,plain,
! [X0] :
( ~ top_str(sK10)
| ~ topological_space(sK10)
| ~ sP4(X0,sK11,sK10)
| in(X0,sK3(sK10,sK11))
| sK2(sK10,sK11) = sK0(sK10,sK11) ),
inference(resolution,[],[f157,f92]) ).
fof(f92,plain,
! [X0,X1,X6] :
( ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ sP4(X6,X1,X0)
| ~ top_str(X0)
| sK2(X0,X1) = sK0(X0,X1)
| ~ topological_space(X0)
| in(X6,sK3(X0,X1)) ),
inference(cnf_transformation,[],[f80]) ).
fof(f254,plain,
( spl13_7
| spl13_13 ),
inference(avatar_split_clause,[],[f249,f251,f218]) ).
fof(f249,plain,
! [X2] :
( sK0(sK10,sK11) = sK1(sK10,sK11)
| in(X2,sK3(sK10,sK11))
| ~ sP4(X2,sK11,sK10) ),
inference(subsumption_resolution,[],[f248,f155]) ).
fof(f248,plain,
! [X2] :
( in(X2,sK3(sK10,sK11))
| ~ top_str(sK10)
| ~ sP4(X2,sK11,sK10)
| sK0(sK10,sK11) = sK1(sK10,sK11) ),
inference(subsumption_resolution,[],[f167,f156]) ).
fof(f167,plain,
! [X2] :
( in(X2,sK3(sK10,sK11))
| ~ topological_space(sK10)
| sK0(sK10,sK11) = sK1(sK10,sK11)
| ~ top_str(sK10)
| ~ sP4(X2,sK11,sK10) ),
inference(resolution,[],[f157,f94]) ).
fof(f94,plain,
! [X0,X1,X6] :
( ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ topological_space(X0)
| in(X6,sK3(X0,X1))
| sK1(X0,X1) = sK0(X0,X1)
| ~ top_str(X0)
| ~ sP4(X6,X1,X0) ),
inference(cnf_transformation,[],[f80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU310+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 15:09:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.48 % (829)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.49 % (829)Refutation not found, incomplete strategy% (829)------------------------------
% 0.20/0.49 % (829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (845)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.49 % (837)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.49 % (829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (829)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49
% 0.20/0.49 % (829)Memory used [KB]: 6012
% 0.20/0.49 % (829)Time elapsed: 0.090 s
% 0.20/0.49 % (829)Instructions burned: 6 (million)
% 0.20/0.49 % (829)------------------------------
% 0.20/0.49 % (829)------------------------------
% 0.20/0.50 % (837)Instruction limit reached!
% 0.20/0.50 % (837)------------------------------
% 0.20/0.50 % (837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (837)Termination reason: Unknown
% 0.20/0.50 % (837)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (837)Memory used [KB]: 5884
% 0.20/0.50 % (837)Time elapsed: 0.006 s
% 0.20/0.50 % (837)Instructions burned: 2 (million)
% 0.20/0.50 % (837)------------------------------
% 0.20/0.50 % (837)------------------------------
% 0.20/0.50 % (833)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.50 % (822)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (825)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.50 % (825)Refutation not found, incomplete strategy% (825)------------------------------
% 0.20/0.50 % (825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (825)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50
% 0.20/0.50 % (825)Memory used [KB]: 6012
% 0.20/0.50 % (825)Time elapsed: 0.100 s
% 0.20/0.50 % (825)Instructions burned: 3 (million)
% 0.20/0.50 % (825)------------------------------
% 0.20/0.50 % (825)------------------------------
% 0.20/0.51 % (841)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.51 % (827)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.51 % (845)Refutation not found, incomplete strategy% (845)------------------------------
% 0.20/0.51 % (845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (845)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (845)Memory used [KB]: 6268
% 0.20/0.51 % (845)Time elapsed: 0.112 s
% 0.20/0.51 % (845)Instructions burned: 19 (million)
% 0.20/0.51 % (845)------------------------------
% 0.20/0.51 % (845)------------------------------
% 0.20/0.52 % (830)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (833)Instruction limit reached!
% 0.20/0.52 % (833)------------------------------
% 0.20/0.52 % (833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (833)Termination reason: Unknown
% 0.20/0.52 % (833)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (833)Memory used [KB]: 6012
% 0.20/0.52 % (833)Time elapsed: 0.003 s
% 0.20/0.52 % (833)Instructions burned: 4 (million)
% 0.20/0.52 % (833)------------------------------
% 0.20/0.52 % (833)------------------------------
% 0.20/0.52 % (823)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.52 % (840)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (846)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.52 % (823)Refutation not found, incomplete strategy% (823)------------------------------
% 0.20/0.52 % (823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (823)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (823)Memory used [KB]: 6012
% 0.20/0.52 % (823)Time elapsed: 0.121 s
% 0.20/0.52 % (823)Instructions burned: 2 (million)
% 0.20/0.52 % (823)------------------------------
% 0.20/0.52 % (823)------------------------------
% 0.20/0.52 % (822)Refutation not found, incomplete strategy% (822)------------------------------
% 0.20/0.52 % (822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (822)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (822)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (822)Memory used [KB]: 6012
% 0.20/0.52 % (822)Time elapsed: 0.108 s
% 0.20/0.52 % (822)Instructions burned: 4 (million)
% 0.20/0.52 % (822)------------------------------
% 0.20/0.52 % (822)------------------------------
% 0.20/0.53 % (838)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.53 % (821)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53 % (819)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.53 % (820)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53 % (828)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.53 % (832)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (847)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.53 % (826)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53 % (828)Refutation not found, incomplete strategy% (828)------------------------------
% 0.20/0.53 % (828)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (828)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (828)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (828)Memory used [KB]: 6012
% 0.20/0.53 % (828)Time elapsed: 0.132 s
% 0.20/0.53 % (828)Instructions burned: 3 (million)
% 0.20/0.53 % (828)------------------------------
% 0.20/0.53 % (828)------------------------------
% 0.20/0.53 % (838)Instruction limit reached!
% 0.20/0.53 % (838)------------------------------
% 0.20/0.53 % (838)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (830)Instruction limit reached!
% 0.20/0.53 % (830)------------------------------
% 0.20/0.53 % (830)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (827)First to succeed.
% 0.20/0.53 % (848)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.53 % (844)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.54 % (839)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.54 % (821)Instruction limit reached!
% 0.20/0.54 % (821)------------------------------
% 0.20/0.54 % (821)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (843)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (821)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (821)Termination reason: Unknown
% 0.20/0.54 % (821)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (821)Memory used [KB]: 6012
% 0.20/0.54 % (821)Time elapsed: 0.134 s
% 0.20/0.54 % (821)Instructions burned: 4 (million)
% 0.20/0.54 % (821)------------------------------
% 0.20/0.54 % (821)------------------------------
% 0.20/0.54 % (824)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.54 % (842)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.54 % (836)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54 % (838)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (838)Termination reason: Unknown
% 0.20/0.54 % (838)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (838)Memory used [KB]: 6140
% 0.20/0.54 % (838)Time elapsed: 0.135 s
% 0.20/0.54 % (838)Instructions burned: 11 (million)
% 0.20/0.54 % (838)------------------------------
% 0.20/0.54 % (838)------------------------------
% 0.20/0.54 % (830)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (830)Termination reason: Unknown
% 0.20/0.54 % (830)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (830)Memory used [KB]: 6140
% 0.20/0.54 % (830)Time elapsed: 0.142 s
% 0.20/0.54 % (830)Instructions burned: 7 (million)
% 0.20/0.54 % (830)------------------------------
% 0.20/0.54 % (830)------------------------------
% 0.20/0.54 % (831)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.54 % (835)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (834)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (836)Instruction limit reached!
% 0.20/0.55 % (836)------------------------------
% 0.20/0.55 % (836)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (836)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (836)Termination reason: Unknown
% 0.20/0.55 % (836)Termination phase: Property scanning
% 0.20/0.55
% 0.20/0.55 % (836)Memory used [KB]: 1535
% 0.20/0.55 % (836)Time elapsed: 0.004 s
% 0.20/0.55 % (836)Instructions burned: 3 (million)
% 0.20/0.55 % (836)------------------------------
% 0.20/0.55 % (836)------------------------------
% 0.20/0.55 % (827)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (827)------------------------------
% 0.20/0.55 % (827)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (827)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (827)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (827)Memory used [KB]: 6268
% 0.20/0.55 % (827)Time elapsed: 0.142 s
% 0.20/0.55 % (827)Instructions burned: 14 (million)
% 0.20/0.55 % (827)------------------------------
% 0.20/0.55 % (827)------------------------------
% 0.20/0.55 % (818)Success in time 0.199 s
%------------------------------------------------------------------------------