TSTP Solution File: TOP034+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : TOP034+1 : TPTP v8.2.0. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n019.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 : Tue May 21 09:18:16 EDT 2024
% Result : Theorem 0.58s 0.78s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 99 ( 13 unt; 0 def)
% Number of atoms : 536 ( 0 equ)
% Maximal formula atoms : 17 ( 5 avg)
% Number of connectives : 702 ( 265 ~; 302 |; 111 &)
% ( 11 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 7 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 77 ( 59 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f273,plain,
$false,
inference(avatar_sat_refutation,[],[f210,f214,f239,f248,f256,f264,f272]) ).
fof(f272,plain,
spl11_8,
inference(avatar_contradiction_clause,[],[f271]) ).
fof(f271,plain,
( $false
| spl11_8 ),
inference(subsumption_resolution,[],[f270,f150]) ).
fof(f150,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( ~ r1_borsuk_1(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(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f103,f125,f124]) ).
fof(f124,plain,
( ? [X0] :
( ? [X1] :
( ~ r1_borsuk_1(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) )
=> ( ? [X1] :
( ~ r1_borsuk_1(sK0,X1)
& 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,[]) ).
fof(f125,plain,
( ? [X1] :
( ~ r1_borsuk_1(sK0,X1)
& m2_tsp_1(X1,sK0)
& v2_tsp_2(X1,sK0)
& ~ v3_struct_0(X1) )
=> ( ~ r1_borsuk_1(sK0,sK1)
& m2_tsp_1(sK1,sK0)
& v2_tsp_2(sK1,sK0)
& ~ v3_struct_0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
? [X0] :
( ? [X1] :
( ~ r1_borsuk_1(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(flattening,[],[f102]) ).
fof(f102,plain,
? [X0] :
( ? [X1] :
( ~ r1_borsuk_1(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(ennf_transformation,[],[f2]) ).
fof(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) )
=> r1_borsuk_1(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(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) )
=> r1_borsuk_1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_tsp_2) ).
fof(f270,plain,
( v3_struct_0(sK0)
| spl11_8 ),
inference(subsumption_resolution,[],[f269,f151]) ).
fof(f151,plain,
v2_pre_topc(sK0),
inference(cnf_transformation,[],[f126]) ).
fof(f269,plain,
( ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl11_8 ),
inference(subsumption_resolution,[],[f268,f152]) ).
fof(f152,plain,
l1_pre_topc(sK0),
inference(cnf_transformation,[],[f126]) ).
fof(f268,plain,
( ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl11_8 ),
inference(subsumption_resolution,[],[f267,f153]) ).
fof(f153,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f126]) ).
fof(f267,plain,
( v3_struct_0(sK1)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl11_8 ),
inference(subsumption_resolution,[],[f266,f154]) ).
fof(f154,plain,
v2_tsp_2(sK1,sK0),
inference(cnf_transformation,[],[f126]) ).
fof(f266,plain,
( ~ v2_tsp_2(sK1,sK0)
| v3_struct_0(sK1)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl11_8 ),
inference(subsumption_resolution,[],[f265,f155]) ).
fof(f155,plain,
m2_tsp_1(sK1,sK0),
inference(cnf_transformation,[],[f126]) ).
fof(f265,plain,
( ~ 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)
| spl11_8 ),
inference(resolution,[],[f238,f162]) ).
fof(f162,plain,
! [X0,X1] :
( v1_funct_1(sK3(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(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( ( v3_borsuk_1(sK3(X0,X1),X0,X1)
& m2_relset_1(sK3(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(sK3(X0,X1),X0,X1)
& v1_funct_2(sK3(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(sK3(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(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f109,f129]) ).
fof(f129,plain,
! [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) )
=> ( v3_borsuk_1(sK3(X0,X1),X0,X1)
& m2_relset_1(sK3(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(sK3(X0,X1),X0,X1)
& v1_funct_2(sK3(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(sK3(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
! [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,[],[f108]) ).
fof(f108,plain,
! [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,[],[f89]) ).
fof(f89,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] :
( 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) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_tsp_2) ).
fof(f238,plain,
( ~ v1_funct_1(sK3(sK0,sK1))
| spl11_8 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f236,plain,
( spl11_8
<=> v1_funct_1(sK3(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f264,plain,
spl11_7,
inference(avatar_contradiction_clause,[],[f263]) ).
fof(f263,plain,
( $false
| spl11_7 ),
inference(subsumption_resolution,[],[f262,f150]) ).
fof(f262,plain,
( v3_struct_0(sK0)
| spl11_7 ),
inference(subsumption_resolution,[],[f261,f151]) ).
fof(f261,plain,
( ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl11_7 ),
inference(subsumption_resolution,[],[f260,f152]) ).
fof(f260,plain,
( ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl11_7 ),
inference(subsumption_resolution,[],[f259,f153]) ).
fof(f259,plain,
( v3_struct_0(sK1)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl11_7 ),
inference(subsumption_resolution,[],[f258,f154]) ).
fof(f258,plain,
( ~ v2_tsp_2(sK1,sK0)
| v3_struct_0(sK1)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl11_7 ),
inference(subsumption_resolution,[],[f257,f155]) ).
fof(f257,plain,
( ~ 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)
| spl11_7 ),
inference(resolution,[],[f234,f163]) ).
fof(f163,plain,
! [X0,X1] :
( v1_funct_2(sK3(X0,X1),u1_struct_0(X0),u1_struct_0(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(cnf_transformation,[],[f130]) ).
fof(f234,plain,
( ~ v1_funct_2(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| spl11_7 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f232,plain,
( spl11_7
<=> v1_funct_2(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f256,plain,
spl11_6,
inference(avatar_contradiction_clause,[],[f255]) ).
fof(f255,plain,
( $false
| spl11_6 ),
inference(subsumption_resolution,[],[f254,f150]) ).
fof(f254,plain,
( v3_struct_0(sK0)
| spl11_6 ),
inference(subsumption_resolution,[],[f253,f151]) ).
fof(f253,plain,
( ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl11_6 ),
inference(subsumption_resolution,[],[f252,f152]) ).
fof(f252,plain,
( ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl11_6 ),
inference(subsumption_resolution,[],[f251,f153]) ).
fof(f251,plain,
( v3_struct_0(sK1)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl11_6 ),
inference(subsumption_resolution,[],[f250,f154]) ).
fof(f250,plain,
( ~ v2_tsp_2(sK1,sK0)
| v3_struct_0(sK1)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl11_6 ),
inference(subsumption_resolution,[],[f249,f155]) ).
fof(f249,plain,
( ~ 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)
| spl11_6 ),
inference(resolution,[],[f230,f164]) ).
fof(f164,plain,
! [X0,X1] :
( v5_pre_topc(sK3(X0,X1),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(cnf_transformation,[],[f130]) ).
fof(f230,plain,
( ~ v5_pre_topc(sK3(sK0,sK1),sK0,sK1)
| spl11_6 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f228,plain,
( spl11_6
<=> v5_pre_topc(sK3(sK0,sK1),sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f248,plain,
spl11_5,
inference(avatar_contradiction_clause,[],[f247]) ).
fof(f247,plain,
( $false
| spl11_5 ),
inference(subsumption_resolution,[],[f246,f150]) ).
fof(f246,plain,
( v3_struct_0(sK0)
| spl11_5 ),
inference(subsumption_resolution,[],[f245,f151]) ).
fof(f245,plain,
( ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl11_5 ),
inference(subsumption_resolution,[],[f244,f152]) ).
fof(f244,plain,
( ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl11_5 ),
inference(subsumption_resolution,[],[f243,f153]) ).
fof(f243,plain,
( v3_struct_0(sK1)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl11_5 ),
inference(subsumption_resolution,[],[f242,f154]) ).
fof(f242,plain,
( ~ v2_tsp_2(sK1,sK0)
| v3_struct_0(sK1)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| spl11_5 ),
inference(subsumption_resolution,[],[f240,f155]) ).
fof(f240,plain,
( ~ 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)
| spl11_5 ),
inference(resolution,[],[f226,f165]) ).
fof(f165,plain,
! [X0,X1] :
( m2_relset_1(sK3(X0,X1),u1_struct_0(X0),u1_struct_0(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(cnf_transformation,[],[f130]) ).
fof(f226,plain,
( ~ m2_relset_1(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| spl11_5 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f224,plain,
( spl11_5
<=> m2_relset_1(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f239,plain,
( ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_4 ),
inference(avatar_split_clause,[],[f222,f208,f236,f232,f228,f224]) ).
fof(f208,plain,
( spl11_4
<=> ! [X0] :
( ~ v3_borsuk_1(X0,sK0,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(X0,sK0,sK1)
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f222,plain,
( ~ v1_funct_1(sK3(sK0,sK1))
| ~ v1_funct_2(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(sK3(sK0,sK1),sK0,sK1)
| ~ m2_relset_1(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f221,f150]) ).
fof(f221,plain,
( ~ v1_funct_1(sK3(sK0,sK1))
| ~ v1_funct_2(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(sK3(sK0,sK1),sK0,sK1)
| ~ m2_relset_1(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK0)
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f220,f151]) ).
fof(f220,plain,
( ~ v1_funct_1(sK3(sK0,sK1))
| ~ v1_funct_2(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(sK3(sK0,sK1),sK0,sK1)
| ~ m2_relset_1(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f219,f152]) ).
fof(f219,plain,
( ~ v1_funct_1(sK3(sK0,sK1))
| ~ v1_funct_2(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(sK3(sK0,sK1),sK0,sK1)
| ~ m2_relset_1(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0)
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f218,f153]) ).
fof(f218,plain,
( ~ v1_funct_1(sK3(sK0,sK1))
| ~ v1_funct_2(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(sK3(sK0,sK1),sK0,sK1)
| ~ m2_relset_1(sK3(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)
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f217,f154]) ).
fof(f217,plain,
( ~ v1_funct_1(sK3(sK0,sK1))
| ~ v1_funct_2(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(sK3(sK0,sK1),sK0,sK1)
| ~ m2_relset_1(sK3(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)
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f215,f155]) ).
fof(f215,plain,
( ~ v1_funct_1(sK3(sK0,sK1))
| ~ v1_funct_2(sK3(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(sK3(sK0,sK1),sK0,sK1)
| ~ m2_relset_1(sK3(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)
| ~ spl11_4 ),
inference(resolution,[],[f209,f166]) ).
fof(f166,plain,
! [X0,X1] :
( v3_borsuk_1(sK3(X0,X1),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(cnf_transformation,[],[f130]) ).
fof(f209,plain,
( ! [X0] :
( ~ v3_borsuk_1(X0,sK0,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(X0,sK0,sK1)
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK1)) )
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f214,plain,
spl11_3,
inference(avatar_contradiction_clause,[],[f213]) ).
fof(f213,plain,
( $false
| spl11_3 ),
inference(subsumption_resolution,[],[f212,f152]) ).
fof(f212,plain,
( ~ l1_pre_topc(sK0)
| spl11_3 ),
inference(subsumption_resolution,[],[f211,f155]) ).
fof(f211,plain,
( ~ m2_tsp_1(sK1,sK0)
| ~ l1_pre_topc(sK0)
| spl11_3 ),
inference(resolution,[],[f206,f167]) ).
fof(f167,plain,
! [X0,X1] :
( m1_pre_topc(X1,X0)
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,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,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).
fof(f206,plain,
( ~ m1_pre_topc(sK1,sK0)
| spl11_3 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f204,plain,
( spl11_3
<=> m1_pre_topc(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f210,plain,
( ~ spl11_3
| spl11_4 ),
inference(avatar_split_clause,[],[f202,f208,f204]) ).
fof(f202,plain,
! [X0] :
( ~ v3_borsuk_1(X0,sK0,sK1)
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(X0,sK0,sK1)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(X0)
| ~ m1_pre_topc(sK1,sK0) ),
inference(subsumption_resolution,[],[f201,f150]) ).
fof(f201,plain,
! [X0] :
( ~ v3_borsuk_1(X0,sK0,sK1)
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(X0,sK0,sK1)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(X0)
| ~ m1_pre_topc(sK1,sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f200,f151]) ).
fof(f200,plain,
! [X0] :
( ~ v3_borsuk_1(X0,sK0,sK1)
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(X0,sK0,sK1)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(X0)
| ~ m1_pre_topc(sK1,sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f199,f152]) ).
fof(f199,plain,
! [X0] :
( ~ v3_borsuk_1(X0,sK0,sK1)
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(X0,sK0,sK1)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(X0)
| ~ m1_pre_topc(sK1,sK0)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f198,f153]) ).
fof(f198,plain,
! [X0] :
( ~ v3_borsuk_1(X0,sK0,sK1)
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v5_pre_topc(X0,sK0,sK1)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(X0)
| ~ m1_pre_topc(sK1,sK0)
| v3_struct_0(sK1)
| ~ l1_pre_topc(sK0)
| ~ v2_pre_topc(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f176,f156]) ).
fof(f156,plain,
~ r1_borsuk_1(sK0,sK1),
inference(cnf_transformation,[],[f126]) ).
fof(f176,plain,
! [X2,X0,X1] :
( r1_borsuk_1(X0,X1)
| ~ 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)
| ~ m1_pre_topc(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ! [X1] :
( ( ( r1_borsuk_1(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) ) )
& ( ( v3_borsuk_1(sK5(X0,X1),X0,X1)
& m2_relset_1(sK5(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(sK5(X0,X1),X0,X1)
& v1_funct_2(sK5(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(sK5(X0,X1)) )
| ~ r1_borsuk_1(X0,X1) ) )
| ~ m1_pre_topc(X1,X0)
| v3_struct_0(X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f135,f136]) ).
fof(f136,plain,
! [X0,X1] :
( ? [X3] :
( v3_borsuk_1(X3,X0,X1)
& m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X3,X0,X1)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X3) )
=> ( v3_borsuk_1(sK5(X0,X1),X0,X1)
& m2_relset_1(sK5(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(sK5(X0,X1),X0,X1)
& v1_funct_2(sK5(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(sK5(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( ( ( r1_borsuk_1(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) ) )
& ( ? [X3] :
( v3_borsuk_1(X3,X0,X1)
& m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X3,X0,X1)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X3) )
| ~ r1_borsuk_1(X0,X1) ) )
| ~ m1_pre_topc(X1,X0)
| v3_struct_0(X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(rectify,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( ( ( r1_borsuk_1(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) ) )
& ( ? [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) )
| ~ r1_borsuk_1(X0,X1) ) )
| ~ m1_pre_topc(X1,X0)
| v3_struct_0(X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( ( r1_borsuk_1(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) ) )
| ~ m1_pre_topc(X1,X0)
| v3_struct_0(X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( ( r1_borsuk_1(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) ) )
| ~ m1_pre_topc(X1,X0)
| v3_struct_0(X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_pre_topc(X1,X0)
& ~ v3_struct_0(X1) )
=> ( r1_borsuk_1(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) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d20_borsuk_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : TOP034+1 : TPTP v8.2.0. Released v3.4.0.
% 0.00/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.33 % Computer : n019.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sat May 18 11:09:07 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.33 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.58/0.78 % (5520)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 theBenchmark for (2995ds/34Mi)
% 0.58/0.78 % (5519)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.58/0.78 % (5518)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.58/0.78 % (5517)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 theBenchmark for (2995ds/51Mi)
% 0.58/0.78 % (5523)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.58/0.78 % (5521)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.58/0.78 % (5521)Refutation not found, incomplete strategy% (5521)------------------------------
% 0.58/0.78 % (5521)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78 % (5521)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.78
% 0.58/0.78 % (5521)Memory used [KB]: 1115
% 0.58/0.78 % (5521)Time elapsed: 0.003 s
% 0.58/0.78 % (5521)Instructions burned: 3 (million)
% 0.58/0.78 % (5516)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 theBenchmark for (2995ds/34Mi)
% 0.58/0.78 % (5521)------------------------------
% 0.58/0.78 % (5521)------------------------------
% 0.58/0.78 % (5523)Refutation not found, incomplete strategy% (5523)------------------------------
% 0.58/0.78 % (5523)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78 % (5523)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.78
% 0.58/0.78 % (5523)Memory used [KB]: 1144
% 0.58/0.78 % (5523)Time elapsed: 0.004 s
% 0.58/0.78 % (5523)Instructions burned: 4 (million)
% 0.58/0.78 % (5518)First to succeed.
% 0.58/0.78 % (5523)------------------------------
% 0.58/0.78 % (5523)------------------------------
% 0.58/0.78 % (5522)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 theBenchmark for (2995ds/83Mi)
% 0.58/0.78 % (5518)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5515"
% 0.58/0.78 % (5516)Also succeeded, but the first one will report.
% 0.58/0.78 % (5518)Refutation found. Thanks to Tanya!
% 0.58/0.78 % SZS status Theorem for theBenchmark
% 0.58/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 0.58/0.78 % (5518)------------------------------
% 0.58/0.78 % (5518)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78 % (5518)Termination reason: Refutation
% 0.58/0.78
% 0.58/0.78 % (5518)Memory used [KB]: 1165
% 0.58/0.78 % (5518)Time elapsed: 0.006 s
% 0.58/0.78 % (5518)Instructions burned: 9 (million)
% 0.58/0.78 % (5515)Success in time 0.453 s
% 0.58/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------