TSTP Solution File: SET609+3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET609+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n025.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 03:48:16 EDT 2024
% Result : Theorem 0.66s 0.82s
% Output : Refutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of formulae : 98 ( 7 unt; 0 def)
% Number of atoms : 270 ( 17 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 296 ( 124 ~; 131 |; 25 &)
% ( 14 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 93 ( 84 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f143,plain,
$false,
inference(avatar_sat_refutation,[],[f60,f61,f85,f86,f92,f97,f100,f110,f113,f119,f127,f128,f133,f134,f135,f136,f142]) ).
fof(f142,plain,
( spl5_3
| ~ spl5_6 ),
inference(avatar_contradiction_clause,[],[f141]) ).
fof(f141,plain,
( $false
| spl5_3
| ~ spl5_6 ),
inference(subsumption_resolution,[],[f139,f66]) ).
fof(f66,plain,
( ~ member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),sK0)
| spl5_3 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl5_3
<=> member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f139,plain,
( member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),sK0)
| ~ spl5_6 ),
inference(resolution,[],[f80,f38]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) )
& ( ( ~ member(X2,X1)
& member(X2,X0) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) )
& ( ( ~ member(X2,X1)
& member(X2,X0) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1,X2] :
( member(X2,difference(X0,X1))
<=> ( ~ member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.67Yru6hyjU/Vampire---4.8_4794',difference_defn) ).
fof(f80,plain,
( member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),difference(sK0,sK1))
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl5_6
<=> member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),difference(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f136,plain,
( ~ spl5_3
| spl5_4
| spl5_1 ),
inference(avatar_split_clause,[],[f120,f53,f68,f64]) ).
fof(f68,plain,
( spl5_4
<=> member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),difference(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f53,plain,
( spl5_1
<=> member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),difference(sK0,difference(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f120,plain,
( member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),difference(sK1,sK2))
| ~ member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),sK0)
| spl5_1 ),
inference(resolution,[],[f54,f40]) ).
fof(f40,plain,
! [X2,X0,X1] :
( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f54,plain,
( ~ member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),difference(sK0,difference(sK1,sK2)))
| spl5_1 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f135,plain,
( spl5_7
| ~ spl5_4 ),
inference(avatar_split_clause,[],[f122,f68,f103]) ).
fof(f103,plain,
( spl5_7
<=> member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
fof(f122,plain,
( member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),sK1)
| ~ spl5_4 ),
inference(resolution,[],[f70,f38]) ).
fof(f70,plain,
( member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),difference(sK1,sK2))
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f134,plain,
( ~ spl5_8
| ~ spl5_4 ),
inference(avatar_split_clause,[],[f123,f68,f107]) ).
fof(f107,plain,
( spl5_8
<=> member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).
fof(f123,plain,
( ~ member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),sK2)
| ~ spl5_4 ),
inference(resolution,[],[f70,f39]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f133,plain,
( ~ spl5_6
| ~ spl5_7 ),
inference(avatar_contradiction_clause,[],[f132]) ).
fof(f132,plain,
( $false
| ~ spl5_6
| ~ spl5_7 ),
inference(subsumption_resolution,[],[f131,f104]) ).
fof(f104,plain,
( member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),sK1)
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f131,plain,
( ~ member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),sK1)
| ~ spl5_6 ),
inference(resolution,[],[f80,f39]) ).
fof(f128,plain,
( spl5_5
| spl5_6
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f121,f57,f78,f74]) ).
fof(f74,plain,
( spl5_5
<=> member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),intersection(sK0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f57,plain,
( spl5_2
<=> member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),union(difference(sK0,sK1),intersection(sK0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f121,plain,
( member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),difference(sK0,sK1))
| member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),intersection(sK0,sK2))
| ~ spl5_2 ),
inference(resolution,[],[f59,f31]) ).
fof(f31,plain,
! [X2,X0,X1] :
( ~ member(X2,union(X0,X1))
| member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) )
& ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) ) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) )
& ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] :
( member(X2,union(X0,X1))
<=> ( member(X2,X1)
| member(X2,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.67Yru6hyjU/Vampire---4.8_4794',union_defn) ).
fof(f59,plain,
( member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),union(difference(sK0,sK1),intersection(sK0,sK2)))
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f127,plain,
( ~ spl5_5
| spl5_8 ),
inference(avatar_contradiction_clause,[],[f126]) ).
fof(f126,plain,
( $false
| ~ spl5_5
| spl5_8 ),
inference(subsumption_resolution,[],[f125,f108]) ).
fof(f108,plain,
( ~ member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),sK2)
| spl5_8 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f125,plain,
( member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),sK2)
| ~ spl5_5 ),
inference(resolution,[],[f76,f36]) ).
fof(f36,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) )
& ( ( member(X2,X1)
& member(X2,X0) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) )
& ( ( member(X2,X1)
& member(X2,X0) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.67Yru6hyjU/Vampire---4.8_4794',intersection_defn) ).
fof(f76,plain,
( member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),intersection(sK0,sK2))
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f119,plain,
( spl5_7
| ~ spl5_3
| spl5_6 ),
inference(avatar_split_clause,[],[f118,f78,f64,f103]) ).
fof(f118,plain,
( member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),sK1)
| ~ spl5_3
| spl5_6 ),
inference(subsumption_resolution,[],[f114,f65]) ).
fof(f65,plain,
( member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),sK0)
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f114,plain,
( member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),sK1)
| ~ member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),sK0)
| spl5_6 ),
inference(resolution,[],[f79,f40]) ).
fof(f79,plain,
( ~ member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),difference(sK0,sK1))
| spl5_6 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f113,plain,
( ~ spl5_8
| ~ spl5_3
| spl5_5 ),
inference(avatar_split_clause,[],[f112,f74,f64,f107]) ).
fof(f112,plain,
( ~ member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),sK2)
| ~ spl5_3
| spl5_5 ),
inference(subsumption_resolution,[],[f111,f65]) ).
fof(f111,plain,
( ~ member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),sK2)
| ~ member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),sK0)
| spl5_5 ),
inference(resolution,[],[f75,f37]) ).
fof(f37,plain,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f75,plain,
( ~ member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),intersection(sK0,sK2))
| spl5_5 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f110,plain,
( ~ spl5_7
| spl5_8
| spl5_4 ),
inference(avatar_split_clause,[],[f101,f68,f107,f103]) ).
fof(f101,plain,
( member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),sK2)
| ~ member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),sK1)
| spl5_4 ),
inference(resolution,[],[f69,f40]) ).
fof(f69,plain,
( ~ member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),difference(sK1,sK2))
| spl5_4 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f100,plain,
( ~ spl5_5
| spl5_2 ),
inference(avatar_split_clause,[],[f96,f57,f74]) ).
fof(f96,plain,
( ~ member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),intersection(sK0,sK2))
| spl5_2 ),
inference(resolution,[],[f58,f33]) ).
fof(f33,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f58,plain,
( ~ member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),union(difference(sK0,sK1),intersection(sK0,sK2)))
| spl5_2 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f97,plain,
( ~ spl5_6
| spl5_2 ),
inference(avatar_split_clause,[],[f95,f57,f78]) ).
fof(f95,plain,
( ~ member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),difference(sK0,sK1))
| spl5_2 ),
inference(resolution,[],[f58,f32]) ).
fof(f32,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f92,plain,
( spl5_3
| ~ spl5_5 ),
inference(avatar_split_clause,[],[f88,f74,f64]) ).
fof(f88,plain,
( member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),sK0)
| ~ spl5_5 ),
inference(resolution,[],[f76,f35]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f86,plain,
( ~ spl5_4
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f83,f53,f68]) ).
fof(f83,plain,
( ~ member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),difference(sK1,sK2))
| ~ spl5_1 ),
inference(resolution,[],[f55,f39]) ).
fof(f55,plain,
( member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),difference(sK0,difference(sK1,sK2)))
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f85,plain,
( ~ spl5_1
| spl5_3 ),
inference(avatar_contradiction_clause,[],[f84]) ).
fof(f84,plain,
( $false
| ~ spl5_1
| spl5_3 ),
inference(subsumption_resolution,[],[f82,f66]) ).
fof(f82,plain,
( member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),sK0)
| ~ spl5_1 ),
inference(resolution,[],[f55,f38]) ).
fof(f61,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f51,f57,f53]) ).
fof(f51,plain,
( ~ member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),union(difference(sK0,sK1),intersection(sK0,sK2)))
| ~ member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),difference(sK0,difference(sK1,sK2))) ),
inference(resolution,[],[f44,f45]) ).
fof(f45,plain,
! [X0,X1] :
( sQ4_eqProxy(X0,X1)
| ~ member(sK3(X0,X1),X1)
| ~ member(sK3(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f29,f43]) ).
fof(f43,plain,
! [X0,X1] :
( sQ4_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ4_eqProxy])]) ).
fof(f29,plain,
! [X0,X1] :
( X0 = X1
| ~ member(sK3(X0,X1),X1)
| ~ member(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( ( X0 = X1
| ( ( ~ member(sK3(X0,X1),X1)
| ~ member(sK3(X0,X1),X0) )
& ( member(sK3(X0,X1),X1)
| member(sK3(X0,X1),X0) ) ) )
& ( ! [X3] :
( ( member(X3,X0)
| ~ member(X3,X1) )
& ( member(X3,X1)
| ~ member(X3,X0) ) )
| X0 != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f16,f17]) ).
fof(f17,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) )
=> ( ( ~ member(sK3(X0,X1),X1)
| ~ member(sK3(X0,X1),X0) )
& ( member(sK3(X0,X1),X1)
| member(sK3(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) ) )
& ( ! [X3] :
( ( member(X3,X0)
| ~ member(X3,X1) )
& ( member(X3,X1)
| ~ member(X3,X0) ) )
| X0 != X1 ) ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) ) )
& ( ! [X2] :
( ( member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X1)
| ~ member(X2,X0) ) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( X0 = X1
<=> ! [X2] :
( member(X2,X0)
<=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.67Yru6hyjU/Vampire---4.8_4794',equal_member_defn) ).
fof(f44,plain,
~ sQ4_eqProxy(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),
inference(equality_proxy_replacement,[],[f25,f43]) ).
fof(f25,plain,
difference(sK0,difference(sK1,sK2)) != union(difference(sK0,sK1),intersection(sK0,sK2)),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
difference(sK0,difference(sK1,sK2)) != union(difference(sK0,sK1),intersection(sK0,sK2)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f12,f13]) ).
fof(f13,plain,
( ? [X0,X1,X2] : difference(X0,difference(X1,X2)) != union(difference(X0,X1),intersection(X0,X2))
=> difference(sK0,difference(sK1,sK2)) != union(difference(sK0,sK1),intersection(sK0,sK2)) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
? [X0,X1,X2] : difference(X0,difference(X1,X2)) != union(difference(X0,X1),intersection(X0,X2)),
inference(ennf_transformation,[],[f11]) ).
fof(f11,negated_conjecture,
~ ! [X0,X1,X2] : difference(X0,difference(X1,X2)) = union(difference(X0,X1),intersection(X0,X2)),
inference(negated_conjecture,[],[f10]) ).
fof(f10,conjecture,
! [X0,X1,X2] : difference(X0,difference(X1,X2)) = union(difference(X0,X1),intersection(X0,X2)),
file('/export/starexec/sandbox2/tmp/tmp.67Yru6hyjU/Vampire---4.8_4794',prove_th81) ).
fof(f60,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f50,f57,f53]) ).
fof(f50,plain,
( member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),union(difference(sK0,sK1),intersection(sK0,sK2)))
| member(sK3(difference(sK0,difference(sK1,sK2)),union(difference(sK0,sK1),intersection(sK0,sK2))),difference(sK0,difference(sK1,sK2))) ),
inference(resolution,[],[f44,f46]) ).
fof(f46,plain,
! [X0,X1] :
( sQ4_eqProxy(X0,X1)
| member(sK3(X0,X1),X1)
| member(sK3(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f28,f43]) ).
fof(f28,plain,
! [X0,X1] :
( X0 = X1
| member(sK3(X0,X1),X1)
| member(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET609+3 : TPTP v8.1.2. Released v2.2.0.
% 0.06/0.12 % 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
% 0.13/0.32 % Computer : n025.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue Apr 30 17:30:56 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.33 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.33 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.67Yru6hyjU/Vampire---4.8_4794
% 0.62/0.81 % (4906)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.81 % (4909)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)
% 0.62/0.81 % (4904)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)
% 0.62/0.81 % (4908)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)
% 0.62/0.81 % (4907)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)
% 0.62/0.81 % (4910)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)
% 0.62/0.81 % (4911)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)
% 0.62/0.81 % (4910)Refutation not found, incomplete strategy% (4910)------------------------------
% 0.62/0.81 % (4910)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81 % (4910)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81
% 0.62/0.81 % (4910)Memory used [KB]: 956
% 0.62/0.81 % (4905)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)
% 0.62/0.81 % (4910)Time elapsed: 0.003 s
% 0.62/0.81 % (4910)Instructions burned: 3 (million)
% 0.62/0.81 % (4910)------------------------------
% 0.62/0.81 % (4910)------------------------------
% 0.62/0.81 % (4907)Refutation not found, incomplete strategy% (4907)------------------------------
% 0.62/0.81 % (4907)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81 % (4907)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81
% 0.62/0.81 % (4907)Memory used [KB]: 973
% 0.62/0.81 % (4907)Time elapsed: 0.004 s
% 0.62/0.81 % (4907)Instructions burned: 3 (million)
% 0.62/0.81 % (4907)------------------------------
% 0.62/0.81 % (4907)------------------------------
% 0.66/0.81 % (4911)First to succeed.
% 0.66/0.82 % (4909)Refutation not found, incomplete strategy% (4909)------------------------------
% 0.66/0.82 % (4909)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.82 % (4909)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.82
% 0.66/0.82 % (4909)Memory used [KB]: 955
% 0.66/0.82 % (4909)Time elapsed: 0.004 s
% 0.66/0.82 % (4909)Instructions burned: 2 (million)
% 0.66/0.82 % (4909)------------------------------
% 0.66/0.82 % (4909)------------------------------
% 0.66/0.82 % (4908)Also succeeded, but the first one will report.
% 0.66/0.82 % (4904)Also succeeded, but the first one will report.
% 0.66/0.82 % (4911)Refutation found. Thanks to Tanya!
% 0.66/0.82 % SZS status Theorem for Vampire---4
% 0.66/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.66/0.82 % (4911)------------------------------
% 0.66/0.82 % (4911)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.82 % (4911)Termination reason: Refutation
% 0.66/0.82
% 0.66/0.82 % (4911)Memory used [KB]: 1069
% 0.66/0.82 % (4911)Time elapsed: 0.006 s
% 0.66/0.82 % (4911)Instructions burned: 8 (million)
% 0.66/0.82 % (4911)------------------------------
% 0.66/0.82 % (4911)------------------------------
% 0.66/0.82 % (4902)Success in time 0.484 s
% 0.66/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------