TSTP Solution File: SET863-2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET863-2 : TPTP v8.1.2. Released v3.2.0.
% 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 : n032.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 03:49:20 EDT 2024
% Result : Unsatisfiable 0.43s 0.62s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 23
% Syntax : Number of formulae : 87 ( 9 unt; 0 def)
% Number of atoms : 321 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 441 ( 207 ~; 225 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 10 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 121 ( 121 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f421,plain,
$false,
inference(avatar_sat_refutation,[],[f45,f210,f227,f250,f265,f298,f316,f352,f357,f412,f413,f420]) ).
fof(f420,plain,
( spl0_4
| ~ spl0_1
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f419,f229,f40,f208]) ).
fof(f208,plain,
( spl0_4
<=> ! [X0] :
( c_in(X0,v_y,t_a)
| ~ c_in(X0,v_x,t_a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f40,plain,
( spl0_1
<=> ! [X4,X5,X3] :
( c_in(X3,v_y,t_a)
| ~ c_in(X3,X4,t_a)
| ~ c_in(c_union(c_insert(X4,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(X5,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_c,c_Zorn_Omaxchain(X5,t_a),tc_set(tc_set(t_a))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f229,plain,
( spl0_6
<=> c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),v_x,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f419,plain,
( ! [X0] :
( ~ c_in(X0,v_x,t_a)
| c_in(X0,v_y,t_a) )
| ~ spl0_1
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f417,f10]) ).
fof(f10,axiom,
c_in(v_x,v_S,tc_set(t_a)),
file('/export/starexec/sandbox/tmp/tmp.jSUpyBdXuQ/Vampire---4.8_7634',cls_conjecture_3) ).
fof(f417,plain,
( ! [X0] :
( ~ c_in(X0,v_x,t_a)
| ~ c_in(v_x,v_S,tc_set(t_a))
| c_in(X0,v_y,t_a) )
| ~ spl0_1
| ~ spl0_6 ),
inference(resolution,[],[f230,f379]) ).
fof(f379,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X1,t_a),X1,t_a)
| ~ c_in(X0,X1,t_a)
| ~ c_in(X1,v_S,tc_set(t_a))
| c_in(X0,v_y,t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f369,f3]) ).
fof(f3,axiom,
! [X2,X3,X1] :
( c_lessequals(X1,X3,tc_set(X2))
| ~ c_in(c_Main_OsubsetI__1(X1,X3,X2),X3,X2) ),
file('/export/starexec/sandbox/tmp/tmp.jSUpyBdXuQ/Vampire---4.8_7634',cls_Set_OsubsetI_1) ).
fof(f369,plain,
( ! [X0,X1] :
( ~ c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X1,tc_set(t_a))
| c_in(X0,v_y,t_a)
| ~ c_in(X0,X1,t_a)
| ~ c_in(X1,v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f366,f9]) ).
fof(f9,axiom,
c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/tmp/tmp.jSUpyBdXuQ/Vampire---4.8_7634',cls_conjecture_1) ).
fof(f366,plain,
( ! [X0,X1] :
( ~ c_in(X0,X1,t_a)
| c_in(X0,v_y,t_a)
| ~ c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X1,tc_set(t_a))
| ~ c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X1,v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f363,f5]) ).
fof(f5,axiom,
! [X2,X0,X4,X5] :
( c_in(c_union(c_insert(X4,c_emptyset,tc_set(X2)),X0,tc_set(X2)),c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X0,X4,X2),X4,tc_set(X2))
| ~ c_in(X0,c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
| ~ c_in(X4,X5,tc_set(X2)) ),
file('/export/starexec/sandbox/tmp/tmp.jSUpyBdXuQ/Vampire---4.8_7634',cls_Zorn_Ochain__extend_1) ).
fof(f363,plain,
( ! [X0,X1] :
( ~ c_in(c_union(c_insert(X1,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,X1,t_a)
| c_in(X0,v_y,t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f41,f8]) ).
fof(f8,axiom,
c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/tmp/tmp.jSUpyBdXuQ/Vampire---4.8_7634',cls_conjecture_0) ).
fof(f41,plain,
( ! [X3,X4,X5] :
( ~ c_in(v_c,c_Zorn_Omaxchain(X5,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X3,X4,t_a)
| ~ c_in(c_union(c_insert(X4,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(X5,t_a),tc_set(tc_set(t_a)))
| c_in(X3,v_y,t_a) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f230,plain,
( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),v_x,t_a)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f413,plain,
( ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f335,f229,f204]) ).
fof(f204,plain,
( spl0_3
<=> c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),v_y,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f335,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),v_y,t_a)
| spl0_6 ),
inference(resolution,[],[f320,f11]) ).
fof(f11,axiom,
c_lessequals(v_y,v_x,tc_set(t_a)),
file('/export/starexec/sandbox/tmp/tmp.jSUpyBdXuQ/Vampire---4.8_7634',cls_conjecture_4) ).
fof(f320,plain,
( ! [X0] :
( ~ c_lessequals(X0,v_x,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),X0,t_a) )
| spl0_6 ),
inference(resolution,[],[f231,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,X3,X2)
| ~ c_lessequals(X1,X3,tc_set(X2))
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.jSUpyBdXuQ/Vampire---4.8_7634',cls_Set_OsubsetD_0) ).
fof(f231,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),v_x,t_a)
| spl0_6 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f412,plain,
( spl0_4
| ~ spl0_1
| spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f411,f224,f204,f40,f208]) ).
fof(f224,plain,
( spl0_5
<=> c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f411,plain,
( ! [X0] :
( ~ c_in(X0,v_x,t_a)
| c_in(X0,v_y,t_a) )
| ~ spl0_1
| spl0_3
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f410,f225]) ).
fof(f225,plain,
( c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,tc_set(t_a))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f410,plain,
( ! [X0] :
( ~ c_in(X0,v_x,t_a)
| c_in(X0,v_y,t_a)
| ~ c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,tc_set(t_a)) )
| ~ spl0_1
| spl0_3 ),
inference(subsumption_resolution,[],[f409,f10]) ).
fof(f409,plain,
( ! [X0] :
( ~ c_in(X0,v_x,t_a)
| ~ c_in(v_x,v_S,tc_set(t_a))
| c_in(X0,v_y,t_a)
| ~ c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,tc_set(t_a)) )
| ~ spl0_1
| spl0_3 ),
inference(resolution,[],[f380,f214]) ).
fof(f214,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),X0,t_a)
| ~ c_in(X0,v_c,tc_set(t_a)) )
| spl0_3 ),
inference(resolution,[],[f211,f14]) ).
fof(f14,axiom,
! [X8] :
( c_lessequals(X8,v_y,tc_set(t_a))
| ~ c_in(X8,v_c,tc_set(t_a)) ),
file('/export/starexec/sandbox/tmp/tmp.jSUpyBdXuQ/Vampire---4.8_7634',cls_conjecture_7) ).
fof(f211,plain,
( ! [X0] :
( ~ c_lessequals(X0,v_y,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),X0,t_a) )
| spl0_3 ),
inference(resolution,[],[f206,f1]) ).
fof(f206,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),v_y,t_a)
| spl0_3 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f380,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X1,t_a),c_Zorn_Ochain__extend__1(v_c,X1,t_a),t_a)
| ~ c_in(X0,X1,t_a)
| ~ c_in(X1,v_S,tc_set(t_a))
| c_in(X0,v_y,t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f369,f2]) ).
fof(f2,axiom,
! [X2,X3,X1] :
( c_lessequals(X1,X3,tc_set(X2))
| c_in(c_Main_OsubsetI__1(X1,X3,X2),X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.jSUpyBdXuQ/Vampire---4.8_7634',cls_Set_OsubsetI_0) ).
fof(f357,plain,
( spl0_1
| spl0_13 ),
inference(avatar_split_clause,[],[f355,f349,f40]) ).
fof(f349,plain,
( spl0_13
<=> c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_c,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f355,plain,
( ! [X2,X0,X1] :
( c_in(X0,v_y,t_a)
| ~ c_in(c_union(c_insert(X1,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(X2,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_c,c_Zorn_Omaxchain(X2,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,X1,t_a) )
| spl0_13 ),
inference(resolution,[],[f351,f6]) ).
fof(f6,axiom,
! [X2,X0,X6,X7,X4,X5] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(X0,X7,X2),X0,tc_set(X2))
| c_in(X4,X7,X2)
| ~ c_in(c_union(c_insert(X6,c_emptyset,tc_set(X2)),X0,tc_set(X2)),c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_Omaxchain(X5,X2),tc_set(tc_set(X2)))
| ~ c_in(X4,X6,X2) ),
file('/export/starexec/sandbox/tmp/tmp.jSUpyBdXuQ/Vampire---4.8_7634',cls_Zorn_Omaxchain__super__lemma_0) ).
fof(f351,plain,
( ~ c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_c,tc_set(t_a))
| spl0_13 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f352,plain,
( ~ spl0_13
| spl0_4
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f345,f248,f208,f349]) ).
fof(f248,plain,
( spl0_10
<=> ! [X0,X1] :
( c_in(X0,X1,t_a)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),X1,tc_set(t_a))
| ~ c_in(X0,v_x,t_a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f345,plain,
( ! [X0] :
( c_in(X0,v_y,t_a)
| ~ c_in(X0,v_x,t_a)
| ~ c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_c,tc_set(t_a)) )
| ~ spl0_10 ),
inference(resolution,[],[f249,f14]) ).
fof(f249,plain,
( ! [X0,X1] :
( ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),X1,tc_set(t_a))
| c_in(X0,X1,t_a)
| ~ c_in(X0,v_x,t_a) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f316,plain,
( spl0_4
| ~ spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f315,f224,f40,f208]) ).
fof(f315,plain,
( ! [X0] :
( c_in(X0,v_y,t_a)
| ~ c_in(X0,v_x,t_a) )
| ~ spl0_1
| spl0_5 ),
inference(subsumption_resolution,[],[f312,f10]) ).
fof(f312,plain,
( ! [X0] :
( c_in(X0,v_y,t_a)
| ~ c_in(X0,v_x,t_a)
| ~ c_in(v_x,v_S,tc_set(t_a)) )
| ~ spl0_1
| spl0_5 ),
inference(resolution,[],[f226,f275]) ).
fof(f275,plain,
( ! [X0,X1] :
( c_in(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_c,tc_set(t_a))
| c_in(X0,v_y,t_a)
| ~ c_in(X0,X1,t_a)
| ~ c_in(X1,v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f272,f9]) ).
fof(f272,plain,
( ! [X0,X1] :
( ~ c_in(X0,X1,t_a)
| c_in(X0,v_y,t_a)
| c_in(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_c,tc_set(t_a))
| ~ c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X1,v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f266,f4]) ).
fof(f4,axiom,
! [X2,X0,X4,X5] :
( c_in(c_union(c_insert(X4,c_emptyset,tc_set(X2)),X0,tc_set(X2)),c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_Ochain__extend__1(X0,X4,X2),X0,tc_set(X2))
| ~ c_in(X0,c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
| ~ c_in(X4,X5,tc_set(X2)) ),
file('/export/starexec/sandbox/tmp/tmp.jSUpyBdXuQ/Vampire---4.8_7634',cls_Zorn_Ochain__extend_0) ).
fof(f266,plain,
( ! [X0,X1] :
( ~ c_in(c_union(c_insert(X1,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,X1,t_a)
| c_in(X0,v_y,t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f41,f8]) ).
fof(f226,plain,
( ~ c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,tc_set(t_a))
| spl0_5 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f298,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f297]) ).
fof(f297,plain,
( $false
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f296,f9]) ).
fof(f296,plain,
( ~ c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f294,f10]) ).
fof(f294,plain,
( ~ c_in(v_x,v_S,tc_set(t_a))
| ~ c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ spl0_8 ),
inference(resolution,[],[f237,f8]) ).
fof(f237,plain,
( ! [X0] :
( ~ c_in(v_c,c_Zorn_Omaxchain(X0,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_x,X0,tc_set(t_a))
| ~ c_in(v_c,c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a))) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f236,plain,
( spl0_8
<=> ! [X0] :
( ~ c_in(v_c,c_Zorn_Omaxchain(X0,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_x,X0,tc_set(t_a))
| ~ c_in(v_c,c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f265,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f264]) ).
fof(f264,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f260,f13]) ).
fof(f13,axiom,
~ c_in(v_xa,v_y,t_a),
file('/export/starexec/sandbox/tmp/tmp.jSUpyBdXuQ/Vampire---4.8_7634',cls_conjecture_6) ).
fof(f260,plain,
( c_in(v_xa,v_y,t_a)
| ~ spl0_4 ),
inference(resolution,[],[f209,f12]) ).
fof(f12,axiom,
c_in(v_xa,v_x,t_a),
file('/export/starexec/sandbox/tmp/tmp.jSUpyBdXuQ/Vampire---4.8_7634',cls_conjecture_5) ).
fof(f209,plain,
( ! [X0] :
( ~ c_in(X0,v_x,t_a)
| c_in(X0,v_y,t_a) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f250,plain,
( spl0_8
| spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f245,f224,f248,f236]) ).
fof(f245,plain,
( ! [X2,X0,X1] :
( c_in(X0,X1,t_a)
| ~ c_in(v_c,c_Zorn_Omaxchain(X2,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,v_x,t_a)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),X1,tc_set(t_a))
| ~ c_in(v_c,c_Zorn_Ochain(X2,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_x,X2,tc_set(t_a)) )
| spl0_5 ),
inference(resolution,[],[f226,f24]) ).
fof(f24,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Zorn_Ochain__extend__1(X0,X5,X2),X0,tc_set(X2))
| c_in(X3,X1,X2)
| ~ c_in(X0,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,X5,X2)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X0,X1,X2),X1,tc_set(X2))
| ~ c_in(X0,c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X5,X4,tc_set(X2)) ),
inference(resolution,[],[f7,f4]) ).
fof(f7,axiom,
! [X2,X0,X6,X7,X4,X5] :
( ~ c_in(c_union(c_insert(X6,c_emptyset,tc_set(X2)),X0,tc_set(X2)),c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X0,X7,X2),X7,tc_set(X2))
| c_in(X4,X7,X2)
| ~ c_in(X0,c_Zorn_Omaxchain(X5,X2),tc_set(tc_set(X2)))
| ~ c_in(X4,X6,X2) ),
file('/export/starexec/sandbox/tmp/tmp.jSUpyBdXuQ/Vampire---4.8_7634',cls_Zorn_Omaxchain__super__lemma_1) ).
fof(f227,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f222,f204,f43,f224,f208]) ).
fof(f43,plain,
( spl0_2
<=> ! [X2,X0,X1] :
( ~ c_in(v_c,c_Zorn_Omaxchain(X0,t_a),tc_set(tc_set(t_a)))
| c_in(X1,v_y,t_a)
| ~ c_in(v_c,c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X1,X2,t_a)
| ~ c_in(X2,X0,tc_set(t_a))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(v_c,X2,t_a),X2,tc_set(t_a)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f222,plain,
( ! [X0] :
( ~ c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,tc_set(t_a))
| c_in(X0,v_y,t_a)
| ~ c_in(X0,v_x,t_a) )
| ~ spl0_2
| spl0_3 ),
inference(subsumption_resolution,[],[f218,f10]) ).
fof(f218,plain,
( ! [X0] :
( ~ c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,tc_set(t_a))
| ~ c_in(v_x,v_S,tc_set(t_a))
| c_in(X0,v_y,t_a)
| ~ c_in(X0,v_x,t_a) )
| ~ spl0_2
| spl0_3 ),
inference(resolution,[],[f214,f87]) ).
fof(f87,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X1,t_a),c_Zorn_Ochain__extend__1(v_c,X1,t_a),t_a)
| ~ c_in(X1,v_S,tc_set(t_a))
| c_in(X0,v_y,t_a)
| ~ c_in(X0,X1,t_a) )
| ~ spl0_2 ),
inference(resolution,[],[f66,f2]) ).
fof(f66,plain,
( ! [X0,X1] :
( ~ c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X1,tc_set(t_a))
| ~ c_in(X0,X1,t_a)
| ~ c_in(X1,v_S,tc_set(t_a))
| c_in(X0,v_y,t_a) )
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f64,f9]) ).
fof(f64,plain,
( ! [X0,X1] :
( c_in(X0,v_y,t_a)
| ~ c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,X1,t_a)
| ~ c_in(X1,v_S,tc_set(t_a))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X1,tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f44,f8]) ).
fof(f44,plain,
( ! [X2,X0,X1] :
( ~ c_in(v_c,c_Zorn_Omaxchain(X0,t_a),tc_set(tc_set(t_a)))
| c_in(X1,v_y,t_a)
| ~ c_in(v_c,c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X1,X2,t_a)
| ~ c_in(X2,X0,tc_set(t_a))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(v_c,X2,t_a),X2,tc_set(t_a)) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f210,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f202,f43,f208,f204]) ).
fof(f202,plain,
( ! [X0] :
( c_in(X0,v_y,t_a)
| ~ c_in(X0,v_x,t_a)
| ~ c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),v_y,t_a) )
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f198,f10]) ).
fof(f198,plain,
( ! [X0] :
( c_in(X0,v_y,t_a)
| ~ c_in(X0,v_x,t_a)
| ~ c_in(v_x,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),v_y,t_a) )
| ~ spl0_2 ),
inference(resolution,[],[f138,f11]) ).
fof(f138,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(X2,X0,tc_set(t_a))
| c_in(X1,v_y,t_a)
| ~ c_in(X1,X0,t_a)
| ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,X0,t_a),X0,t_a),X2,t_a) )
| ~ spl0_2 ),
inference(resolution,[],[f86,f1]) ).
fof(f86,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X1,t_a),X1,t_a)
| ~ c_in(X1,v_S,tc_set(t_a))
| c_in(X0,v_y,t_a)
| ~ c_in(X0,X1,t_a) )
| ~ spl0_2 ),
inference(resolution,[],[f66,f3]) ).
fof(f45,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f37,f43,f40]) ).
fof(f37,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(v_c,c_Zorn_Omaxchain(X0,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X1,X2,t_a)
| ~ c_lessequals(c_Zorn_Ochain__extend__1(v_c,X2,t_a),X2,tc_set(t_a))
| ~ c_in(v_c,c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X2,X0,tc_set(t_a))
| c_in(X1,v_y,t_a)
| c_in(X3,v_y,t_a)
| ~ c_in(c_union(c_insert(X4,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(X5,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_c,c_Zorn_Omaxchain(X5,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X3,X4,t_a) ),
inference(resolution,[],[f26,f6]) ).
fof(f26,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Zorn_Omaxchain__super__lemma__1(X1,v_y,t_a),v_c,tc_set(t_a))
| ~ c_in(X1,c_Zorn_Omaxchain(X2,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,X3,t_a)
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X1,X3,t_a),X3,tc_set(t_a))
| ~ c_in(X1,c_Zorn_Ochain(X2,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X3,X2,tc_set(t_a))
| c_in(X0,v_y,t_a) ),
inference(resolution,[],[f23,f14]) ).
fof(f23,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X0,X1,X2),X1,tc_set(X2))
| c_in(X3,X1,X2)
| ~ c_in(X0,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,X5,X2)
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X0,X5,X2),X5,tc_set(X2))
| ~ c_in(X0,c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X5,X4,tc_set(X2)) ),
inference(resolution,[],[f7,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET863-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.11 % 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
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Tue Apr 30 17:26:21 EDT 2024
% 0.11/0.30 % CPUTime :
% 0.11/0.30 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.11/0.30 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/tmp/tmp.jSUpyBdXuQ/Vampire---4.8_7634
% 0.43/0.60 % (7888)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 (2997ds/51Mi)
% 0.43/0.60 % (7893)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 (2997ds/83Mi)
% 0.43/0.60 % (7889)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2997ds/78Mi)
% 0.43/0.60 % (7887)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 (2997ds/34Mi)
% 0.43/0.60 % (7890)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2997ds/33Mi)
% 0.43/0.60 % (7892)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2997ds/45Mi)
% 0.43/0.60 % (7894)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 (2997ds/56Mi)
% 0.43/0.60 % (7891)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 (2997ds/34Mi)
% 0.43/0.60 % (7892)Refutation not found, incomplete strategy% (7892)------------------------------
% 0.43/0.60 % (7892)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.43/0.60 % (7892)Termination reason: Refutation not found, incomplete strategy
% 0.43/0.60
% 0.43/0.60 % (7892)Memory used [KB]: 952
% 0.43/0.60 % (7892)Time elapsed: 0.003 s
% 0.43/0.60 % (7892)Instructions burned: 2 (million)
% 0.43/0.60 % (7892)------------------------------
% 0.43/0.60 % (7892)------------------------------
% 0.43/0.60 % (7890)Refutation not found, incomplete strategy% (7890)------------------------------
% 0.43/0.60 % (7890)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.43/0.60 % (7890)Termination reason: Refutation not found, incomplete strategy
% 0.43/0.60
% 0.43/0.60 % (7890)Memory used [KB]: 967
% 0.43/0.60 % (7890)Time elapsed: 0.003 s
% 0.43/0.60 % (7890)Instructions burned: 2 (million)
% 0.43/0.60 % (7890)------------------------------
% 0.43/0.60 % (7890)------------------------------
% 0.43/0.60 % (7894)Refutation not found, incomplete strategy% (7894)------------------------------
% 0.43/0.60 % (7894)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.43/0.60 % (7894)Termination reason: Refutation not found, incomplete strategy
% 0.43/0.60
% 0.43/0.60 % (7894)Memory used [KB]: 966
% 0.43/0.60 % (7894)Time elapsed: 0.003 s
% 0.43/0.60 % (7894)Instructions burned: 2 (million)
% 0.43/0.60 % (7894)------------------------------
% 0.43/0.60 % (7894)------------------------------
% 0.43/0.60 % (7887)Refutation not found, incomplete strategy% (7887)------------------------------
% 0.43/0.60 % (7887)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.43/0.60 % (7887)Termination reason: Refutation not found, incomplete strategy
% 0.43/0.60
% 0.43/0.60 % (7887)Memory used [KB]: 1058
% 0.43/0.60 % (7887)Time elapsed: 0.005 s
% 0.43/0.60 % (7887)Instructions burned: 7 (million)
% 0.43/0.60 % (7887)------------------------------
% 0.43/0.60 % (7887)------------------------------
% 0.43/0.60 % (7895)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 (2997ds/55Mi)
% 0.43/0.60 % (7896)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 (2997ds/50Mi)
% 0.43/0.60 % (7897)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 (2997ds/208Mi)
% 0.43/0.60 % (7898)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 (2997ds/52Mi)
% 0.43/0.60 % (7895)Refutation not found, incomplete strategy% (7895)------------------------------
% 0.43/0.60 % (7895)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.43/0.60 % (7895)Termination reason: Refutation not found, incomplete strategy
% 0.43/0.60
% 0.43/0.60 % (7895)Memory used [KB]: 969
% 0.43/0.60 % (7895)Time elapsed: 0.004 s
% 0.43/0.60 % (7895)Instructions burned: 3 (million)
% 0.43/0.60 % (7895)------------------------------
% 0.43/0.60 % (7895)------------------------------
% 0.43/0.61 % (7897)Refutation not found, incomplete strategy% (7897)------------------------------
% 0.43/0.61 % (7897)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.43/0.61 % (7897)Termination reason: Refutation not found, incomplete strategy
% 0.43/0.61
% 0.43/0.61 % (7897)Memory used [KB]: 1046
% 0.43/0.61 % (7897)Time elapsed: 0.005 s
% 0.43/0.61 % (7897)Instructions burned: 5 (million)
% 0.43/0.61 % (7897)------------------------------
% 0.43/0.61 % (7897)------------------------------
% 0.43/0.61 % (7899)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 (2997ds/518Mi)
% 0.43/0.61 % (7888)Instruction limit reached!
% 0.43/0.61 % (7888)------------------------------
% 0.43/0.61 % (7888)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.43/0.61 % (7888)Termination reason: Unknown
% 0.43/0.61 % (7888)Termination phase: Saturation
% 0.43/0.61
% 0.43/0.61 % (7888)Memory used [KB]: 1179
% 0.43/0.61 % (7888)Time elapsed: 0.014 s
% 0.43/0.61 % (7888)Instructions burned: 54 (million)
% 0.43/0.61 % (7888)------------------------------
% 0.43/0.61 % (7888)------------------------------
% 0.43/0.61 % (7900)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2997ds/42Mi)
% 0.43/0.61 % (7899)Refutation not found, incomplete strategy% (7899)------------------------------
% 0.43/0.61 % (7899)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.43/0.61 % (7899)Termination reason: Refutation not found, incomplete strategy
% 0.43/0.61
% 0.43/0.61 % (7899)Memory used [KB]: 1036
% 0.43/0.61 % (7899)Time elapsed: 0.004 s
% 0.43/0.61 % (7899)Instructions burned: 3 (million)
% 0.43/0.61 % (7899)------------------------------
% 0.43/0.61 % (7899)------------------------------
% 0.43/0.61 % (7901)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2997ds/243Mi)
% 0.43/0.61 % (7889)First to succeed.
% 0.43/0.61 % (7902)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2997ds/117Mi)
% 0.43/0.62 % (7889)Refutation found. Thanks to Tanya!
% 0.43/0.62 % SZS status Unsatisfiable for Vampire---4
% 0.43/0.62 % SZS output start Proof for Vampire---4
% See solution above
% 0.43/0.62 % (7889)------------------------------
% 0.43/0.62 % (7889)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.43/0.62 % (7889)Termination reason: Refutation
% 0.43/0.62
% 0.43/0.62 % (7889)Memory used [KB]: 1201
% 0.43/0.62 % (7889)Time elapsed: 0.019 s
% 0.43/0.62 % (7889)Instructions burned: 50 (million)
% 0.43/0.62 % (7889)------------------------------
% 0.43/0.62 % (7889)------------------------------
% 0.43/0.62 % (7883)Success in time 0.302 s
% 0.43/0.62 % Vampire---4.8 exiting
%------------------------------------------------------------------------------