TSTP Solution File: SET842-2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET842-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n012.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 : Thu Aug 31 15:45:56 EDT 2023
% Result : Unsatisfiable 0.22s 0.40s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 33
% Syntax : Number of formulae : 98 ( 9 unt; 0 def)
% Number of atoms : 286 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 375 ( 187 ~; 162 |; 0 &)
% ( 26 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 29 ( 28 usr; 27 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 95 (; 95 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f142,plain,
$false,
inference(avatar_sat_refutation,[],[f12,f16,f20,f24,f28,f32,f36,f42,f48,f54,f60,f64,f70,f74,f81,f85,f89,f95,f99,f106,f110,f117,f126,f130,f134,f137,f141]) ).
fof(f141,plain,
( spl0_26
| ~ spl0_7
| spl0_23 ),
inference(avatar_split_clause,[],[f136,f123,f34,f139]) ).
fof(f139,plain,
( spl0_26
<=> ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),X0,tc_set(t_a))
| ~ c_lessequals(X0,c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),v_Y,tc_set(t_a)),tc_set(tc_set(t_a))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f34,plain,
( spl0_7
<=> ! [X3,X4,X5,X1] :
( ~ c_in(X4,X1,X3)
| c_in(X4,X5,X3)
| ~ c_lessequals(X1,X5,tc_set(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f123,plain,
( spl0_23
<=> c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),v_Y,tc_set(t_a)),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f136,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),X0,tc_set(t_a))
| ~ c_lessequals(X0,c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),v_Y,tc_set(t_a)),tc_set(tc_set(t_a))) )
| ~ spl0_7
| spl0_23 ),
inference(resolution,[],[f125,f35]) ).
fof(f35,plain,
( ! [X3,X1,X4,X5] :
( c_in(X4,X5,X3)
| ~ c_in(X4,X1,X3)
| ~ c_lessequals(X1,X5,tc_set(X3)) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f125,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),v_Y,tc_set(t_a)),tc_set(t_a))
| spl0_23 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f137,plain,
( ~ spl0_10
| ~ spl0_5
| spl0_23 ),
inference(avatar_split_clause,[],[f135,f123,f26,f51]) ).
fof(f51,plain,
( spl0_10
<=> c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),c_Union(v_Y,tc_set(t_a)),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f26,plain,
( spl0_5
<=> ! [X2,X1,X3] :
( ~ c_in(X1,c_Union(X2,X3),X3)
| c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f135,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),c_Union(v_Y,tc_set(t_a)),tc_set(t_a))
| ~ spl0_5
| spl0_23 ),
inference(resolution,[],[f125,f27]) ).
fof(f27,plain,
( ! [X2,X3,X1] :
( c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3)
| ~ c_in(X1,c_Union(X2,X3),X3) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f134,plain,
( spl0_25
| ~ spl0_6
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f121,f97,f30,f132]) ).
fof(f132,plain,
( spl0_25
<=> ! [X2] :
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),c_Main_OUnionE__1(c_Main_OUnionE__1(X2,c_Union(v_Y,tc_set(t_a)),t_a),v_Y,tc_set(t_a)),tc_set(t_a))
| ~ c_in(X2,c_Union(c_Union(v_Y,tc_set(t_a)),t_a),t_a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f30,plain,
( spl0_6
<=> ! [X2,X1,X3] :
( ~ c_in(X1,c_Union(X2,X3),X3)
| c_in(c_Main_OUnionE__1(X1,X2,X3),X2,tc_set(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f97,plain,
( spl0_19
<=> ! [X2] :
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),c_Main_OUnionE__1(X2,v_Y,tc_set(t_a)),tc_set(t_a))
| ~ c_in(X2,c_Union(v_Y,tc_set(t_a)),tc_set(t_a)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f121,plain,
( ! [X2] :
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),c_Main_OUnionE__1(c_Main_OUnionE__1(X2,c_Union(v_Y,tc_set(t_a)),t_a),v_Y,tc_set(t_a)),tc_set(t_a))
| ~ c_in(X2,c_Union(c_Union(v_Y,tc_set(t_a)),t_a),t_a) )
| ~ spl0_6
| ~ spl0_19 ),
inference(resolution,[],[f98,f31]) ).
fof(f31,plain,
( ! [X2,X3,X1] :
( c_in(c_Main_OUnionE__1(X1,X2,X3),X2,tc_set(X3))
| ~ c_in(X1,c_Union(X2,X3),X3) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f98,plain,
( ! [X2] :
( ~ c_in(X2,c_Union(v_Y,tc_set(t_a)),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),c_Main_OUnionE__1(X2,v_Y,tc_set(t_a)),tc_set(t_a)) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f130,plain,
( spl0_24
| ~ spl0_7
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f120,f97,f34,f128]) ).
fof(f128,plain,
( spl0_24
<=> ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),c_Main_OUnionE__1(X0,v_Y,tc_set(t_a)),tc_set(t_a))
| ~ c_in(X0,X1,tc_set(t_a))
| ~ c_lessequals(X1,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f120,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),c_Main_OUnionE__1(X0,v_Y,tc_set(t_a)),tc_set(t_a))
| ~ c_in(X0,X1,tc_set(t_a))
| ~ c_lessequals(X1,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))) )
| ~ spl0_7
| ~ spl0_19 ),
inference(resolution,[],[f98,f35]) ).
fof(f126,plain,
( ~ spl0_23
| ~ spl0_10
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f118,f97,f51,f123]) ).
fof(f118,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),v_Y,tc_set(t_a)),tc_set(t_a))
| ~ spl0_10
| ~ spl0_19 ),
inference(resolution,[],[f98,f53]) ).
fof(f53,plain,
( c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),c_Union(v_Y,tc_set(t_a)),tc_set(t_a))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f117,plain,
( spl0_22
| ~ spl0_7
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f112,f87,f34,f115]) ).
fof(f115,plain,
( spl0_22
<=> ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),X0,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X0,v_m,tc_set(t_a)),X1,tc_set(t_a))
| ~ c_lessequals(X1,v_m,tc_set(tc_set(t_a))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f87,plain,
( spl0_17
<=> ! [X2] :
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),X2,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X2,v_m,tc_set(t_a)),v_m,tc_set(t_a)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f112,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),X0,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X0,v_m,tc_set(t_a)),X1,tc_set(t_a))
| ~ c_lessequals(X1,v_m,tc_set(tc_set(t_a))) )
| ~ spl0_7
| ~ spl0_17 ),
inference(resolution,[],[f88,f35]) ).
fof(f88,plain,
( ! [X2] :
( ~ c_in(c_Main_OsubsetI__1(X2,v_m,tc_set(t_a)),v_m,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),X2,tc_set(t_a)) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f110,plain,
( spl0_21
| ~ spl0_7
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f102,f72,f34,f108]) ).
fof(f108,plain,
( spl0_21
<=> ! [X2,X1] :
( ~ c_in(c_Main_OsubsetI__1(X1,v_Y,tc_set(tc_set(t_a))),v_Y,tc_set(tc_set(t_a)))
| ~ c_in(c_Union(v_Y,tc_set(t_a)),X2,tc_set(tc_set(t_a)))
| ~ c_lessequals(X2,X1,tc_set(tc_set(tc_set(t_a)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f72,plain,
( spl0_14
<=> ! [X1] :
( ~ c_in(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X1,v_Y,tc_set(tc_set(t_a))),v_Y,tc_set(tc_set(t_a))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f102,plain,
( ! [X2,X1] :
( ~ c_in(c_Main_OsubsetI__1(X1,v_Y,tc_set(tc_set(t_a))),v_Y,tc_set(tc_set(t_a)))
| ~ c_in(c_Union(v_Y,tc_set(t_a)),X2,tc_set(tc_set(t_a)))
| ~ c_lessequals(X2,X1,tc_set(tc_set(tc_set(t_a)))) )
| ~ spl0_7
| ~ spl0_14 ),
inference(resolution,[],[f73,f35]) ).
fof(f73,plain,
( ! [X1] :
( ~ c_in(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X1,v_Y,tc_set(tc_set(t_a))),v_Y,tc_set(tc_set(t_a))) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f106,plain,
( spl0_20
| ~ spl0_5
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f101,f72,f26,f104]) ).
fof(f104,plain,
( spl0_20
<=> ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(c_Main_OUnionE__1(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a))),v_Y,tc_set(tc_set(t_a))),v_Y,tc_set(tc_set(t_a)))
| ~ c_in(c_Union(v_Y,tc_set(t_a)),c_Union(X0,tc_set(tc_set(t_a))),tc_set(tc_set(t_a))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f101,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(c_Main_OUnionE__1(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a))),v_Y,tc_set(tc_set(t_a))),v_Y,tc_set(tc_set(t_a)))
| ~ c_in(c_Union(v_Y,tc_set(t_a)),c_Union(X0,tc_set(tc_set(t_a))),tc_set(tc_set(t_a))) )
| ~ spl0_5
| ~ spl0_14 ),
inference(resolution,[],[f73,f27]) ).
fof(f99,plain,
( spl0_19
| ~ spl0_6
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f91,f79,f30,f97]) ).
fof(f79,plain,
( spl0_15
<=> ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),X0,tc_set(t_a))
| ~ c_in(X0,v_Y,tc_set(tc_set(t_a))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f91,plain,
( ! [X2] :
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),c_Main_OUnionE__1(X2,v_Y,tc_set(t_a)),tc_set(t_a))
| ~ c_in(X2,c_Union(v_Y,tc_set(t_a)),tc_set(t_a)) )
| ~ spl0_6
| ~ spl0_15 ),
inference(resolution,[],[f80,f31]) ).
fof(f80,plain,
( ! [X0] :
( ~ c_in(X0,v_Y,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),X0,tc_set(t_a)) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f95,plain,
( spl0_18
| ~ spl0_7
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f90,f79,f34,f93]) ).
fof(f93,plain,
( spl0_18
<=> ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),X0,tc_set(t_a))
| ~ c_in(X0,X1,tc_set(tc_set(t_a)))
| ~ c_lessequals(X1,v_Y,tc_set(tc_set(tc_set(t_a)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f90,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),X0,tc_set(t_a))
| ~ c_in(X0,X1,tc_set(tc_set(t_a)))
| ~ c_lessequals(X1,v_Y,tc_set(tc_set(tc_set(t_a)))) )
| ~ spl0_7
| ~ spl0_15 ),
inference(resolution,[],[f80,f35]) ).
fof(f89,plain,
( spl0_17
| ~ spl0_3
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f77,f62,f18,f87]) ).
fof(f18,plain,
( spl0_3
<=> ! [X5,X1,X3] :
( c_lessequals(X1,X5,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X5,X3),X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f62,plain,
( spl0_12
<=> ! [X1] :
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),X1,tc_set(t_a))
| ~ c_lessequals(X1,v_m,tc_set(tc_set(t_a))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f77,plain,
( ! [X2] :
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),X2,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X2,v_m,tc_set(t_a)),v_m,tc_set(t_a)) )
| ~ spl0_3
| ~ spl0_12 ),
inference(resolution,[],[f63,f19]) ).
fof(f19,plain,
( ! [X3,X1,X5] :
( c_lessequals(X1,X5,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X5,X3),X5,X3) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f63,plain,
( ! [X1] :
( ~ c_lessequals(X1,v_m,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),X1,tc_set(t_a)) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f85,plain,
( spl0_16
| ~ spl0_4
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f76,f62,f22,f83]) ).
fof(f83,plain,
( spl0_16
<=> ! [X1] :
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),X1,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(X1,v_m,tc_set(t_a)),X1,tc_set(t_a)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f22,plain,
( spl0_4
<=> ! [X5,X1,X3] :
( c_lessequals(X1,X5,tc_set(X3))
| c_in(c_Main_OsubsetI__1(X1,X5,X3),X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f76,plain,
( ! [X1] :
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),X1,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(X1,v_m,tc_set(t_a)),X1,tc_set(t_a)) )
| ~ spl0_4
| ~ spl0_12 ),
inference(resolution,[],[f63,f23]) ).
fof(f23,plain,
( ! [X3,X1,X5] :
( c_lessequals(X1,X5,tc_set(X3))
| c_in(c_Main_OsubsetI__1(X1,X5,X3),X1,X3) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f81,plain,
( spl0_15
| ~ spl0_2
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f75,f62,f14,f79]) ).
fof(f14,plain,
( spl0_2
<=> ! [X0] :
( ~ c_in(X0,v_Y,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f75,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),X0,tc_set(t_a))
| ~ c_in(X0,v_Y,tc_set(tc_set(t_a))) )
| ~ spl0_2
| ~ spl0_12 ),
inference(resolution,[],[f63,f15]) ).
fof(f15,plain,
( ! [X0] :
( c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| ~ c_in(X0,v_Y,tc_set(tc_set(t_a))) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f74,plain,
( spl0_14
| ~ spl0_3
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f66,f58,f18,f72]) ).
fof(f58,plain,
( spl0_11
<=> ! [X0] :
( ~ c_in(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a)))
| ~ c_lessequals(X0,v_Y,tc_set(tc_set(tc_set(t_a)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f66,plain,
( ! [X1] :
( ~ c_in(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X1,v_Y,tc_set(tc_set(t_a))),v_Y,tc_set(tc_set(t_a))) )
| ~ spl0_3
| ~ spl0_11 ),
inference(resolution,[],[f59,f19]) ).
fof(f59,plain,
( ! [X0] :
( ~ c_lessequals(X0,v_Y,tc_set(tc_set(tc_set(t_a))))
| ~ c_in(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a))) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f70,plain,
( spl0_13
| ~ spl0_4
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f65,f58,f22,f68]) ).
fof(f68,plain,
( spl0_13
<=> ! [X0] :
( ~ c_in(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a)))
| c_in(c_Main_OsubsetI__1(X0,v_Y,tc_set(tc_set(t_a))),X0,tc_set(tc_set(t_a))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f65,plain,
( ! [X0] :
( ~ c_in(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a)))
| c_in(c_Main_OsubsetI__1(X0,v_Y,tc_set(tc_set(t_a))),X0,tc_set(tc_set(t_a))) )
| ~ spl0_4
| ~ spl0_11 ),
inference(resolution,[],[f59,f23]) ).
fof(f64,plain,
( spl0_12
| ~ spl0_7
| spl0_9 ),
inference(avatar_split_clause,[],[f56,f45,f34,f62]) ).
fof(f45,plain,
( spl0_9
<=> c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),v_m,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f56,plain,
( ! [X1] :
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),X1,tc_set(t_a))
| ~ c_lessequals(X1,v_m,tc_set(tc_set(t_a))) )
| ~ spl0_7
| spl0_9 ),
inference(resolution,[],[f35,f47]) ).
fof(f47,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),v_m,tc_set(t_a))
| spl0_9 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f60,plain,
( spl0_11
| ~ spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f55,f39,f34,f58]) ).
fof(f39,plain,
( spl0_8
<=> c_in(c_Union(v_Y,tc_set(t_a)),v_Y,tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f55,plain,
( ! [X0] :
( ~ c_in(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a)))
| ~ c_lessequals(X0,v_Y,tc_set(tc_set(tc_set(t_a)))) )
| ~ spl0_7
| spl0_8 ),
inference(resolution,[],[f35,f41]) ).
fof(f41,plain,
( ~ c_in(c_Union(v_Y,tc_set(t_a)),v_Y,tc_set(tc_set(t_a)))
| spl0_8 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f54,plain,
( spl0_10
| spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f49,f22,f9,f51]) ).
fof(f9,plain,
( spl0_1
<=> c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f49,plain,
( c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),c_Union(v_Y,tc_set(t_a)),tc_set(t_a))
| spl0_1
| ~ spl0_4 ),
inference(resolution,[],[f23,f11]) ).
fof(f11,plain,
( ~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| spl0_1 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f48,plain,
( ~ spl0_9
| spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f43,f18,f9,f45]) ).
fof(f43,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),v_m,tc_set(t_a))
| spl0_1
| ~ spl0_3 ),
inference(resolution,[],[f19,f11]) ).
fof(f42,plain,
( ~ spl0_8
| spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f37,f14,f9,f39]) ).
fof(f37,plain,
( ~ c_in(c_Union(v_Y,tc_set(t_a)),v_Y,tc_set(tc_set(t_a)))
| spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f15,f11]) ).
fof(f36,plain,
spl0_7,
inference(avatar_split_clause,[],[f5,f34]) ).
fof(f5,axiom,
! [X3,X1,X4,X5] :
( ~ c_in(X4,X1,X3)
| c_in(X4,X5,X3)
| ~ c_lessequals(X1,X5,tc_set(X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.tiuxXoK4aY/Vampire---4.8_6888',cls_Set_OsubsetD_0) ).
fof(f32,plain,
spl0_6,
inference(avatar_split_clause,[],[f3,f30]) ).
fof(f3,axiom,
! [X2,X3,X1] :
( ~ c_in(X1,c_Union(X2,X3),X3)
| c_in(c_Main_OUnionE__1(X1,X2,X3),X2,tc_set(X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.tiuxXoK4aY/Vampire---4.8_6888',cls_Set_OUnionE_0) ).
fof(f28,plain,
spl0_5,
inference(avatar_split_clause,[],[f4,f26]) ).
fof(f4,axiom,
! [X2,X3,X1] :
( ~ c_in(X1,c_Union(X2,X3),X3)
| c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3) ),
file('/export/starexec/sandbox2/tmp/tmp.tiuxXoK4aY/Vampire---4.8_6888',cls_Set_OUnionE_1) ).
fof(f24,plain,
spl0_4,
inference(avatar_split_clause,[],[f6,f22]) ).
fof(f6,axiom,
! [X3,X1,X5] :
( c_lessequals(X1,X5,tc_set(X3))
| c_in(c_Main_OsubsetI__1(X1,X5,X3),X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.tiuxXoK4aY/Vampire---4.8_6888',cls_Set_OsubsetI_0) ).
fof(f20,plain,
spl0_3,
inference(avatar_split_clause,[],[f7,f18]) ).
fof(f7,axiom,
! [X3,X1,X5] :
( c_lessequals(X1,X5,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X5,X3),X5,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.tiuxXoK4aY/Vampire---4.8_6888',cls_Set_OsubsetI_1) ).
fof(f16,plain,
spl0_2,
inference(avatar_split_clause,[],[f2,f14]) ).
fof(f2,axiom,
! [X0] :
( ~ c_in(X0,v_Y,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox2/tmp/tmp.tiuxXoK4aY/Vampire---4.8_6888',cls_conjecture_4) ).
fof(f12,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f1,f9]) ).
fof(f1,axiom,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/tmp/tmp.tiuxXoK4aY/Vampire---4.8_6888',cls_conjecture_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET842-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n012.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 10:47:11 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.tiuxXoK4aY/Vampire---4.8_6888
% 0.15/0.36 % (7158)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.40 % (7159)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.15/0.40 % (7159)First to succeed.
% 0.22/0.40 % (7159)Refutation found. Thanks to Tanya!
% 0.22/0.40 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.40 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.40 % (7159)------------------------------
% 0.22/0.40 % (7159)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.40 % (7159)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.40 % (7159)Termination reason: Refutation
% 0.22/0.40
% 0.22/0.40 % (7159)Memory used [KB]: 5500
% 0.22/0.40 % (7159)Time elapsed: 0.004 s
% 0.22/0.40 % (7159)------------------------------
% 0.22/0.40 % (7159)------------------------------
% 0.22/0.40 % (7158)Success in time 0.038 s
% 0.22/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------