TSTP Solution File: TOP035+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : TOP035+1 : TPTP v8.1.2. Released v3.4.0.
% 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 : n027.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 04:52:21 EDT 2024
% Result : Theorem 0.63s 0.80s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 16
% Syntax : Number of formulae : 122 ( 18 unt; 1 typ; 0 def)
% Number of atoms : 1734 ( 45 equ)
% Maximal formula atoms : 20 ( 14 avg)
% Number of connectives : 959 ( 387 ~; 430 |; 105 &)
% ( 11 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 1041 (1041 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 29 ( 27 usr; 10 prp; 0-4 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 103 ( 78 !; 24 ?; 32 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_44,type,
sQ12_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f421,plain,
$false,
inference(avatar_sat_refutation,[],[f369,f379,f389,f399,f409,f420]) ).
tff(f420,plain,
( ~ spl13_12
| ~ spl13_9
| ~ spl13_10
| ~ spl13_11
| spl13_13 ),
inference(avatar_split_clause,[],[f419,f366,f358,f354,f350,f362]) ).
tff(f362,plain,
( spl13_12
<=> m2_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_12])]) ).
tff(f350,plain,
( spl13_9
<=> v1_funct_1(k1_tsp_2(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).
tff(f354,plain,
( spl13_10
<=> v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).
tff(f358,plain,
( spl13_11
<=> v5_pre_topc(k1_tsp_2(sK0,sK1),sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_11])]) ).
tff(f366,plain,
( spl13_13
<=> v3_borsuk_1(k1_tsp_2(sK0,sK1),sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_13])]) ).
tff(f419,plain,
( ~ m2_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl13_9
| ~ spl13_10
| ~ spl13_11
| spl13_13 ),
inference(subsumption_resolution,[],[f418,f175]) ).
tff(f175,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f156]) ).
tff(f156,plain,
( ( k6_pre_topc(sK0,k1_struct_0(sK0,sK2)) != k5_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),k6_pre_topc(sK1,k1_struct_0(sK1,sK3))) )
& ( sK2 = sK3 )
& m1_subset_1(sK3,u1_struct_0(sK1))
& m1_subset_1(sK2,u1_struct_0(sK0))
& m2_tsp_1(sK1,sK0)
& v2_tsp_2(sK1,sK0)
& ~ v3_struct_0(sK1)
& l1_pre_topc(sK0)
& v2_pre_topc(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f121,f155,f154,f153,f152]) ).
tff(f152,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X3))) != k6_pre_topc(X0,k1_struct_0(X0,X2)) )
& ( X2 = X3 )
& m1_subset_1(X3,u1_struct_0(X1)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( k5_pre_topc(sK0,X1,k1_tsp_2(sK0,X1),k6_pre_topc(X1,k1_struct_0(X1,X3))) != k6_pre_topc(sK0,k1_struct_0(sK0,X2)) )
& ( X2 = X3 )
& m1_subset_1(X3,u1_struct_0(X1)) )
& m1_subset_1(X2,u1_struct_0(sK0)) )
& m2_tsp_1(X1,sK0)
& v2_tsp_2(X1,sK0)
& ~ v3_struct_0(X1) )
& l1_pre_topc(sK0)
& v2_pre_topc(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f153,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( k5_pre_topc(sK0,X1,k1_tsp_2(sK0,X1),k6_pre_topc(X1,k1_struct_0(X1,X3))) != k6_pre_topc(sK0,k1_struct_0(sK0,X2)) )
& ( X2 = X3 )
& m1_subset_1(X3,u1_struct_0(X1)) )
& m1_subset_1(X2,u1_struct_0(sK0)) )
& m2_tsp_1(X1,sK0)
& v2_tsp_2(X1,sK0)
& ~ v3_struct_0(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( k6_pre_topc(sK0,k1_struct_0(sK0,X2)) != k5_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),k6_pre_topc(sK1,k1_struct_0(sK1,X3))) )
& ( X2 = X3 )
& m1_subset_1(X3,u1_struct_0(sK1)) )
& m1_subset_1(X2,u1_struct_0(sK0)) )
& m2_tsp_1(sK1,sK0)
& v2_tsp_2(sK1,sK0)
& ~ v3_struct_0(sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f154,plain,
( ? [X2] :
( ? [X3] :
( ( k6_pre_topc(sK0,k1_struct_0(sK0,X2)) != k5_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),k6_pre_topc(sK1,k1_struct_0(sK1,X3))) )
& ( X2 = X3 )
& m1_subset_1(X3,u1_struct_0(sK1)) )
& m1_subset_1(X2,u1_struct_0(sK0)) )
=> ( ? [X3] :
( ( k5_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),k6_pre_topc(sK1,k1_struct_0(sK1,X3))) != k6_pre_topc(sK0,k1_struct_0(sK0,sK2)) )
& ( sK2 = X3 )
& m1_subset_1(X3,u1_struct_0(sK1)) )
& m1_subset_1(sK2,u1_struct_0(sK0)) ) ),
introduced(choice_axiom,[]) ).
tff(f155,plain,
( ? [X3] :
( ( k5_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),k6_pre_topc(sK1,k1_struct_0(sK1,X3))) != k6_pre_topc(sK0,k1_struct_0(sK0,sK2)) )
& ( sK2 = X3 )
& m1_subset_1(X3,u1_struct_0(sK1)) )
=> ( ( k6_pre_topc(sK0,k1_struct_0(sK0,sK2)) != k5_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),k6_pre_topc(sK1,k1_struct_0(sK1,sK3))) )
& ( sK2 = sK3 )
& m1_subset_1(sK3,u1_struct_0(sK1)) ) ),
introduced(choice_axiom,[]) ).
tff(f121,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X3))) != k6_pre_topc(X0,k1_struct_0(X0,X2)) )
& ( X2 = X3 )
& m1_subset_1(X3,u1_struct_0(X1)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f120]) ).
tff(f120,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X3))) != k6_pre_topc(X0,k1_struct_0(X0,X2)) )
& ( X2 = X3 )
& m1_subset_1(X3,u1_struct_0(X1)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( ( X2 = X3 )
=> ( k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X3))) = k6_pre_topc(X0,k1_struct_0(X0,X2)) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( ( X2 = X3 )
=> ( k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X3))) = k6_pre_topc(X0,k1_struct_0(X0,X2)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.HmBy27TrpY/Vampire---4.8_8351',t24_tsp_2) ).
tff(f418,plain,
( ~ m2_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK0)
| ~ spl13_9
| ~ spl13_10
| ~ spl13_11
| spl13_13 ),
inference(subsumption_resolution,[],[f417,f176]) ).
tff(f176,plain,
v2_pre_topc(sK0),
inference(cnf_transformation,[],[f156]) ).
tff(f417,plain,
( ~ m2_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| ~ spl13_9
| ~ spl13_10
| ~ spl13_11
| spl13_13 ),
inference(subsumption_resolution,[],[f416,f177]) ).
tff(f177,plain,
l1_pre_topc(sK0),
inference(cnf_transformation,[],[f156]) ).
tff(f416,plain,
( ~ m2_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| ~ spl13_9
| ~ spl13_10
| ~ spl13_11
| spl13_13 ),
inference(subsumption_resolution,[],[f415,f178]) ).
tff(f178,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f156]) ).
tff(f415,plain,
( ~ m2_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| ~ spl13_9
| ~ spl13_10
| ~ spl13_11
| spl13_13 ),
inference(subsumption_resolution,[],[f414,f179]) ).
tff(f179,plain,
v2_tsp_2(sK1,sK0),
inference(cnf_transformation,[],[f156]) ).
tff(f414,plain,
( ~ m2_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_tsp_2(sK1,sK0)
| v3_struct_0(sK1)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| ~ spl13_9
| ~ spl13_10
| ~ spl13_11
| spl13_13 ),
inference(subsumption_resolution,[],[f413,f180]) ).
tff(f180,plain,
m2_tsp_1(sK1,sK0),
inference(cnf_transformation,[],[f156]) ).
tff(f413,plain,
( ~ m2_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_tsp_1(sK1,sK0)
| ~ v2_tsp_2(sK1,sK0)
| v3_struct_0(sK1)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| ~ spl13_9
| ~ spl13_10
| ~ spl13_11
| spl13_13 ),
inference(subsumption_resolution,[],[f412,f351]) ).
tff(f351,plain,
( v1_funct_1(k1_tsp_2(sK0,sK1))
| ~ spl13_9 ),
inference(avatar_component_clause,[],[f350]) ).
tff(f412,plain,
( ~ m2_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(k1_tsp_2(sK0,sK1))
| ~ m2_tsp_1(sK1,sK0)
| ~ v2_tsp_2(sK1,sK0)
| v3_struct_0(sK1)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| ~ spl13_10
| ~ spl13_11
| spl13_13 ),
inference(subsumption_resolution,[],[f411,f355]) ).
tff(f355,plain,
( v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl13_10 ),
inference(avatar_component_clause,[],[f354]) ).
tff(f411,plain,
( ~ m2_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(k1_tsp_2(sK0,sK1))
| ~ m2_tsp_1(sK1,sK0)
| ~ v2_tsp_2(sK1,sK0)
| v3_struct_0(sK1)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| ~ spl13_11
| spl13_13 ),
inference(subsumption_resolution,[],[f410,f359]) ).
tff(f359,plain,
( v5_pre_topc(k1_tsp_2(sK0,sK1),sK0,sK1)
| ~ spl13_11 ),
inference(avatar_component_clause,[],[f358]) ).
tff(f410,plain,
( ~ m2_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(k1_tsp_2(sK0,sK1),sK0,sK1)
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(k1_tsp_2(sK0,sK1))
| ~ m2_tsp_1(sK1,sK0)
| ~ v2_tsp_2(sK1,sK0)
| v3_struct_0(sK1)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl13_13 ),
inference(resolution,[],[f368,f224]) ).
tff(f224,plain,
! [X0: $i,X1: $i] :
( v3_borsuk_1(k1_tsp_2(X0,X1),X0,X1)
| ~ m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
| ~ v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(k1_tsp_2(X0,X1))
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f199]) ).
tff(f199,plain,
! [X2: $i,X0: $i,X1: $i] :
( v3_borsuk_1(X2,X0,X1)
| ( k1_tsp_2(X0,X1) != X2 )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f161]) ).
tff(f161,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( ( k1_tsp_2(X0,X1) = X2 )
| ~ v3_borsuk_1(X2,X0,X1) )
& ( v3_borsuk_1(X2,X0,X1)
| ( k1_tsp_2(X0,X1) != X2 ) ) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f136]) ).
tff(f136,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( k1_tsp_2(X0,X1) = X2 )
<=> v3_borsuk_1(X2,X0,X1) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f135]) ).
tff(f135,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( k1_tsp_2(X0,X1) = X2 )
<=> v3_borsuk_1(X2,X0,X1) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f50]) ).
tff(f50,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( ( k1_tsp_2(X0,X1) = X2 )
<=> v3_borsuk_1(X2,X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.HmBy27TrpY/Vampire---4.8_8351',d9_tsp_2) ).
tff(f368,plain,
( ~ v3_borsuk_1(k1_tsp_2(sK0,sK1),sK0,sK1)
| spl13_13 ),
inference(avatar_component_clause,[],[f366]) ).
tff(f409,plain,
spl13_12,
inference(avatar_contradiction_clause,[],[f408]) ).
tff(f408,plain,
( $false
| spl13_12 ),
inference(subsumption_resolution,[],[f407,f177]) ).
tff(f407,plain,
( ~ l1_pre_topc(sK0)
| spl13_12 ),
inference(subsumption_resolution,[],[f406,f180]) ).
tff(f406,plain,
( ~ m2_tsp_1(sK1,sK0)
| ~ l1_pre_topc(sK0)
| spl13_12 ),
inference(resolution,[],[f405,f207]) ).
tff(f207,plain,
! [X0: $i,X1: $i] :
( m1_pre_topc(X1,X0)
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f166]) ).
tff(f166,plain,
! [X0] :
( ! [X1] :
( ( m2_tsp_1(X1,X0)
| ~ m1_pre_topc(X1,X0) )
& ( m1_pre_topc(X1,X0)
| ~ m2_tsp_1(X1,X0) ) )
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f145]) ).
tff(f145,plain,
! [X0] :
( ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f102]) ).
tff(f102,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.HmBy27TrpY/Vampire---4.8_8351',redefinition_m2_tsp_1) ).
tff(f405,plain,
( ~ m1_pre_topc(sK1,sK0)
| spl13_12 ),
inference(subsumption_resolution,[],[f404,f175]) ).
tff(f404,plain,
( ~ m1_pre_topc(sK1,sK0)
| v3_struct_0(sK0)
| spl13_12 ),
inference(subsumption_resolution,[],[f403,f176]) ).
tff(f403,plain,
( ~ m1_pre_topc(sK1,sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl13_12 ),
inference(subsumption_resolution,[],[f402,f177]) ).
tff(f402,plain,
( ~ m1_pre_topc(sK1,sK0)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl13_12 ),
inference(subsumption_resolution,[],[f401,f178]) ).
tff(f401,plain,
( ~ m1_pre_topc(sK1,sK0)
| v3_struct_0(sK1)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl13_12 ),
inference(subsumption_resolution,[],[f400,f179]) ).
tff(f400,plain,
( ~ m1_pre_topc(sK1,sK0)
| ~ v2_tsp_2(sK1,sK0)
| v3_struct_0(sK1)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl13_12 ),
inference(resolution,[],[f364,f198]) ).
tff(f198,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f134]) ).
tff(f134,plain,
! [X0,X1] :
( ( m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
& v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k1_tsp_2(X0,X1)) )
| ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f133]) ).
tff(f133,plain,
! [X0,X1] :
( ( m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
& v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k1_tsp_2(X0,X1)) )
| ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f54]) ).
tff(f54,axiom,
! [X0,X1] :
( ( m1_pre_topc(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1)
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
& v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k1_tsp_2(X0,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.HmBy27TrpY/Vampire---4.8_8351',dt_k1_tsp_2) ).
tff(f364,plain,
( ~ m2_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| spl13_12 ),
inference(avatar_component_clause,[],[f362]) ).
tff(f399,plain,
spl13_11,
inference(avatar_contradiction_clause,[],[f398]) ).
tff(f398,plain,
( $false
| spl13_11 ),
inference(subsumption_resolution,[],[f397,f177]) ).
tff(f397,plain,
( ~ l1_pre_topc(sK0)
| spl13_11 ),
inference(subsumption_resolution,[],[f396,f180]) ).
tff(f396,plain,
( ~ m2_tsp_1(sK1,sK0)
| ~ l1_pre_topc(sK0)
| spl13_11 ),
inference(resolution,[],[f395,f207]) ).
tff(f395,plain,
( ~ m1_pre_topc(sK1,sK0)
| spl13_11 ),
inference(subsumption_resolution,[],[f394,f175]) ).
tff(f394,plain,
( ~ m1_pre_topc(sK1,sK0)
| v3_struct_0(sK0)
| spl13_11 ),
inference(subsumption_resolution,[],[f393,f176]) ).
tff(f393,plain,
( ~ m1_pre_topc(sK1,sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl13_11 ),
inference(subsumption_resolution,[],[f392,f177]) ).
tff(f392,plain,
( ~ m1_pre_topc(sK1,sK0)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl13_11 ),
inference(subsumption_resolution,[],[f391,f178]) ).
tff(f391,plain,
( ~ m1_pre_topc(sK1,sK0)
| v3_struct_0(sK1)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl13_11 ),
inference(subsumption_resolution,[],[f390,f179]) ).
tff(f390,plain,
( ~ m1_pre_topc(sK1,sK0)
| ~ v2_tsp_2(sK1,sK0)
| v3_struct_0(sK1)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl13_11 ),
inference(resolution,[],[f360,f197]) ).
tff(f197,plain,
! [X0: $i,X1: $i] :
( v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
| ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f134]) ).
tff(f360,plain,
( ~ v5_pre_topc(k1_tsp_2(sK0,sK1),sK0,sK1)
| spl13_11 ),
inference(avatar_component_clause,[],[f358]) ).
tff(f389,plain,
spl13_10,
inference(avatar_contradiction_clause,[],[f388]) ).
tff(f388,plain,
( $false
| spl13_10 ),
inference(subsumption_resolution,[],[f387,f177]) ).
tff(f387,plain,
( ~ l1_pre_topc(sK0)
| spl13_10 ),
inference(subsumption_resolution,[],[f386,f180]) ).
tff(f386,plain,
( ~ m2_tsp_1(sK1,sK0)
| ~ l1_pre_topc(sK0)
| spl13_10 ),
inference(resolution,[],[f385,f207]) ).
tff(f385,plain,
( ~ m1_pre_topc(sK1,sK0)
| spl13_10 ),
inference(subsumption_resolution,[],[f384,f175]) ).
tff(f384,plain,
( ~ m1_pre_topc(sK1,sK0)
| v3_struct_0(sK0)
| spl13_10 ),
inference(subsumption_resolution,[],[f383,f176]) ).
tff(f383,plain,
( ~ m1_pre_topc(sK1,sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl13_10 ),
inference(subsumption_resolution,[],[f382,f177]) ).
tff(f382,plain,
( ~ m1_pre_topc(sK1,sK0)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl13_10 ),
inference(subsumption_resolution,[],[f381,f178]) ).
tff(f381,plain,
( ~ m1_pre_topc(sK1,sK0)
| v3_struct_0(sK1)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl13_10 ),
inference(subsumption_resolution,[],[f380,f179]) ).
tff(f380,plain,
( ~ m1_pre_topc(sK1,sK0)
| ~ v2_tsp_2(sK1,sK0)
| v3_struct_0(sK1)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl13_10 ),
inference(resolution,[],[f356,f196]) ).
tff(f196,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f134]) ).
tff(f356,plain,
( ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| spl13_10 ),
inference(avatar_component_clause,[],[f354]) ).
tff(f379,plain,
spl13_9,
inference(avatar_contradiction_clause,[],[f378]) ).
tff(f378,plain,
( $false
| spl13_9 ),
inference(subsumption_resolution,[],[f377,f177]) ).
tff(f377,plain,
( ~ l1_pre_topc(sK0)
| spl13_9 ),
inference(subsumption_resolution,[],[f376,f180]) ).
tff(f376,plain,
( ~ m2_tsp_1(sK1,sK0)
| ~ l1_pre_topc(sK0)
| spl13_9 ),
inference(resolution,[],[f375,f207]) ).
tff(f375,plain,
( ~ m1_pre_topc(sK1,sK0)
| spl13_9 ),
inference(subsumption_resolution,[],[f374,f175]) ).
tff(f374,plain,
( ~ m1_pre_topc(sK1,sK0)
| v3_struct_0(sK0)
| spl13_9 ),
inference(subsumption_resolution,[],[f373,f176]) ).
tff(f373,plain,
( ~ m1_pre_topc(sK1,sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl13_9 ),
inference(subsumption_resolution,[],[f372,f177]) ).
tff(f372,plain,
( ~ m1_pre_topc(sK1,sK0)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl13_9 ),
inference(subsumption_resolution,[],[f371,f178]) ).
tff(f371,plain,
( ~ m1_pre_topc(sK1,sK0)
| v3_struct_0(sK1)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl13_9 ),
inference(subsumption_resolution,[],[f370,f179]) ).
tff(f370,plain,
( ~ m1_pre_topc(sK1,sK0)
| ~ v2_tsp_2(sK1,sK0)
| v3_struct_0(sK1)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl13_9 ),
inference(resolution,[],[f352,f195]) ).
tff(f195,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k1_tsp_2(X0,X1))
| ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f134]) ).
tff(f352,plain,
( ~ v1_funct_1(k1_tsp_2(sK0,sK1))
| spl13_9 ),
inference(avatar_component_clause,[],[f350]) ).
tff(f369,plain,
( ~ spl13_9
| ~ spl13_10
| ~ spl13_11
| ~ spl13_12
| ~ spl13_13 ),
inference(avatar_split_clause,[],[f348,f366,f362,f358,f354,f350]) ).
tff(f348,plain,
( ~ v3_borsuk_1(k1_tsp_2(sK0,sK1),sK0,sK1)
| ~ m2_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(k1_tsp_2(sK0,sK1),sK0,sK1)
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(k1_tsp_2(sK0,sK1)) ),
inference(subsumption_resolution,[],[f347,f175]) ).
tff(f347,plain,
( ~ v3_borsuk_1(k1_tsp_2(sK0,sK1),sK0,sK1)
| ~ m2_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(k1_tsp_2(sK0,sK1),sK0,sK1)
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(k1_tsp_2(sK0,sK1))
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f346,f176]) ).
tff(f346,plain,
( ~ v3_borsuk_1(k1_tsp_2(sK0,sK1),sK0,sK1)
| ~ m2_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(k1_tsp_2(sK0,sK1),sK0,sK1)
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(k1_tsp_2(sK0,sK1))
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f345,f177]) ).
tff(f345,plain,
( ~ v3_borsuk_1(k1_tsp_2(sK0,sK1),sK0,sK1)
| ~ m2_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(k1_tsp_2(sK0,sK1),sK0,sK1)
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(k1_tsp_2(sK0,sK1))
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f344,f178]) ).
tff(f344,plain,
( ~ v3_borsuk_1(k1_tsp_2(sK0,sK1),sK0,sK1)
| ~ m2_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(k1_tsp_2(sK0,sK1),sK0,sK1)
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(k1_tsp_2(sK0,sK1))
| v3_struct_0(sK1)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f343,f179]) ).
tff(f343,plain,
( ~ v3_borsuk_1(k1_tsp_2(sK0,sK1),sK0,sK1)
| ~ m2_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(k1_tsp_2(sK0,sK1),sK0,sK1)
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(k1_tsp_2(sK0,sK1))
| ~ v2_tsp_2(sK1,sK0)
| v3_struct_0(sK1)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f342,f180]) ).
tff(f342,plain,
( ~ v3_borsuk_1(k1_tsp_2(sK0,sK1),sK0,sK1)
| ~ m2_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(k1_tsp_2(sK0,sK1),sK0,sK1)
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(k1_tsp_2(sK0,sK1))
| ~ m2_tsp_1(sK1,sK0)
| ~ v2_tsp_2(sK1,sK0)
| v3_struct_0(sK1)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f341,f223]) ).
tff(f223,plain,
m1_subset_1(sK3,u1_struct_0(sK0)),
inference(definition_unfolding,[],[f181,f183]) ).
tff(f183,plain,
sK2 = sK3,
inference(cnf_transformation,[],[f156]) ).
tff(f181,plain,
m1_subset_1(sK2,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f156]) ).
tff(f341,plain,
( ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ v3_borsuk_1(k1_tsp_2(sK0,sK1),sK0,sK1)
| ~ m2_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(k1_tsp_2(sK0,sK1),sK0,sK1)
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(k1_tsp_2(sK0,sK1))
| ~ m2_tsp_1(sK1,sK0)
| ~ v2_tsp_2(sK1,sK0)
| v3_struct_0(sK1)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f340,f182]) ).
tff(f182,plain,
m1_subset_1(sK3,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f156]) ).
tff(f340,plain,
( ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ v3_borsuk_1(k1_tsp_2(sK0,sK1),sK0,sK1)
| ~ m2_relset_1(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(k1_tsp_2(sK0,sK1),sK0,sK1)
| ~ v1_funct_2(k1_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(k1_tsp_2(sK0,sK1))
| ~ m2_tsp_1(sK1,sK0)
| ~ v2_tsp_2(sK1,sK0)
| v3_struct_0(sK1)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f230,f227]) ).
tff(f227,plain,
~ sQ12_eqProxy($i,k5_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),k6_pre_topc(sK1,k1_struct_0(sK1,sK3))),k6_pre_topc(sK0,k1_struct_0(sK0,sK3))),
inference(equality_proxy_replacement,[],[f222,f226]) ).
tff(f226,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ12_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ12_eqProxy])]) ).
tff(f222,plain,
k5_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),k6_pre_topc(sK1,k1_struct_0(sK1,sK3))) != k6_pre_topc(sK0,k1_struct_0(sK0,sK3)),
inference(definition_unfolding,[],[f184,f183]) ).
tff(f184,plain,
k6_pre_topc(sK0,k1_struct_0(sK0,sK2)) != k5_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),k6_pre_topc(sK1,k1_struct_0(sK1,sK3))),
inference(cnf_transformation,[],[f156]) ).
tff(f230,plain,
! [X2: $i,X0: $i,X1: $i,X4: $i] :
( sQ12_eqProxy($i,k5_pre_topc(X0,X1,X2,k6_pre_topc(X1,k1_struct_0(X1,X4))),k6_pre_topc(X0,k1_struct_0(X0,X4)))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ v3_borsuk_1(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(equality_proxy_replacement,[],[f225,f226]) ).
tff(f225,plain,
! [X2: $i,X0: $i,X1: $i,X4: $i] :
( ( k5_pre_topc(X0,X1,X2,k6_pre_topc(X1,k1_struct_0(X1,X4))) = k6_pre_topc(X0,k1_struct_0(X0,X4)) )
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ v3_borsuk_1(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f202]) ).
tff(f202,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( k5_pre_topc(X0,X1,X2,k6_pre_topc(X1,k1_struct_0(X1,X4))) = k6_pre_topc(X0,k1_struct_0(X0,X3)) )
| ( X3 != X4 )
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ v3_borsuk_1(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f140]) ).
tff(f140,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( k5_pre_topc(X0,X1,X2,k6_pre_topc(X1,k1_struct_0(X1,X4))) = k6_pre_topc(X0,k1_struct_0(X0,X3)) )
| ( X3 != X4 )
| ~ m1_subset_1(X4,u1_struct_0(X1)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ v3_borsuk_1(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f139]) ).
tff(f139,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( k5_pre_topc(X0,X1,X2,k6_pre_topc(X1,k1_struct_0(X1,X4))) = k6_pre_topc(X0,k1_struct_0(X0,X3)) )
| ( X3 != X4 )
| ~ m1_subset_1(X4,u1_struct_0(X1)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ v3_borsuk_1(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f86]) ).
tff(f86,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v3_borsuk_1(X2,X0,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( X3 = X4 )
=> ( k5_pre_topc(X0,X1,X2,k6_pre_topc(X1,k1_struct_0(X1,X4))) = k6_pre_topc(X0,k1_struct_0(X0,X3)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.HmBy27TrpY/Vampire---4.8_8351',l33_tsp_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : TOP035+1 : TPTP v8.1.2. Released v3.4.0.
% 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
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 17:58:18 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 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.HmBy27TrpY/Vampire---4.8_8351
% 0.57/0.78 % (8563)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)
% 0.57/0.78 % (8564)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)
% 0.57/0.78 % (8557)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)
% 0.57/0.78 % (8559)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.57/0.78 % (8560)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)
% 0.57/0.78 % (8558)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)
% 0.57/0.78 % (8561)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)
% 0.57/0.78 % (8562)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)
% 0.57/0.79 % (8564)Refutation not found, incomplete strategy% (8564)------------------------------
% 0.57/0.79 % (8564)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.79 % (8564)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.79
% 0.57/0.79 % (8564)Memory used [KB]: 1163
% 0.57/0.79 % (8564)Time elapsed: 0.005 s
% 0.57/0.79 % (8564)Instructions burned: 6 (million)
% 0.57/0.79 % (8564)------------------------------
% 0.57/0.79 % (8564)------------------------------
% 0.57/0.79 % (8562)Refutation not found, incomplete strategy% (8562)------------------------------
% 0.57/0.79 % (8562)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.79 % (8562)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.79
% 0.57/0.79 % (8562)Memory used [KB]: 1128
% 0.57/0.79 % (8562)Time elapsed: 0.008 s
% 0.57/0.79 % (8562)Instructions burned: 5 (million)
% 0.57/0.79 % (8562)------------------------------
% 0.57/0.79 % (8562)------------------------------
% 0.57/0.79 % (8566)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 % (8557)First to succeed.
% 0.63/0.80 % (8567)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)
% 0.63/0.80 % (8557)Refutation found. Thanks to Tanya!
% 0.63/0.80 % SZS status Theorem for Vampire---4
% 0.63/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.80 % (8557)------------------------------
% 0.63/0.80 % (8557)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80 % (8557)Termination reason: Refutation
% 0.63/0.80
% 0.63/0.80 % (8557)Memory used [KB]: 1193
% 0.63/0.80 % (8557)Time elapsed: 0.016 s
% 0.63/0.80 % (8557)Instructions burned: 14 (million)
% 0.63/0.80 % (8557)------------------------------
% 0.63/0.80 % (8557)------------------------------
% 0.63/0.80 % (8529)Success in time 0.43 s
% 0.63/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------