TSTP Solution File: SET611+3 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET611+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 : Sun May 5 09:14:28 EDT 2024
% Result : Theorem 0.14s 0.42s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 213 ( 32 unt; 0 def)
% Number of atoms : 562 ( 129 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 554 ( 205 ~; 285 |; 42 &)
% ( 14 <=>; 6 =>; 0 <=; 2 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 417 ( 402 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1736,plain,
$false,
inference(avatar_sat_refutation,[],[f71,f151,f332,f334,f337,f339,f1732,f1735]) ).
fof(f1735,plain,
( ~ spl5_1
| spl5_2 ),
inference(avatar_contradiction_clause,[],[f1734]) ).
fof(f1734,plain,
( $false
| ~ spl5_1
| spl5_2 ),
inference(subsumption_resolution,[],[f1733,f109]) ).
fof(f109,plain,
! [X0,X1] : subset(difference(X0,X1),X0),
inference(duplicate_literal_removal,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( subset(difference(X0,X1),X0)
| subset(difference(X0,X1),X0) ),
inference(resolution,[],[f75,f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ member(sK4(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK4(X0,X1),X1)
& member(sK4(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f29,f30]) ).
fof(f30,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK4(X0,X1),X1)
& member(sK4(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
fof(f75,plain,
! [X2,X0,X1] :
( member(sK4(difference(X0,X1),X2),X0)
| subset(difference(X0,X1),X2) ),
inference(resolution,[],[f53,f51]) ).
fof(f51,plain,
! [X0,X1] :
( member(sK4(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,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,[],[f32]) ).
fof(f32,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/sandbox/benchmark/theBenchmark.p',difference_defn) ).
fof(f1733,plain,
( ~ subset(difference(sK0,sK1),sK0)
| ~ spl5_1
| spl5_2 ),
inference(subsumption_resolution,[],[f1730,f69]) ).
fof(f69,plain,
( sK0 != difference(sK0,sK1)
| spl5_2 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl5_2
<=> sK0 = difference(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f1730,plain,
( sK0 = difference(sK0,sK1)
| ~ subset(difference(sK0,sK1),sK0)
| ~ spl5_1 ),
inference(resolution,[],[f1726,f45]) ).
fof(f45,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| X0 = X1
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_defn) ).
fof(f1726,plain,
( subset(sK0,difference(sK0,sK1))
| ~ spl5_1 ),
inference(duplicate_literal_removal,[],[f1714]) ).
fof(f1714,plain,
( subset(sK0,difference(sK0,sK1))
| subset(sK0,difference(sK0,sK1))
| ~ spl5_1 ),
inference(resolution,[],[f1086,f51]) ).
fof(f1086,plain,
( ! [X0] :
( ~ member(sK4(X0,difference(X0,sK1)),sK0)
| subset(X0,difference(X0,sK1)) )
| ~ spl5_1 ),
inference(resolution,[],[f377,f348]) ).
fof(f348,plain,
( ! [X0] :
( ~ member(X0,sK1)
| ~ member(X0,sK0) )
| ~ spl5_1 ),
inference(subsumption_resolution,[],[f343,f38]) ).
fof(f38,plain,
! [X0] : ~ member(X0,empty_set),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : ~ member(X0,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set_defn) ).
fof(f343,plain,
( ! [X0] :
( member(X0,empty_set)
| ~ member(X0,sK1)
| ~ member(X0,sK0) )
| ~ spl5_1 ),
inference(superposition,[],[f58,f66]) ).
fof(f66,plain,
( empty_set = intersection(sK0,sK1)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl5_1
<=> empty_set = intersection(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f58,plain,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,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,[],[f34]) ).
fof(f34,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/sandbox/benchmark/theBenchmark.p',intersection_defn) ).
fof(f377,plain,
! [X0,X1] :
( member(sK4(X0,difference(X0,X1)),X1)
| subset(X0,difference(X0,X1)) ),
inference(duplicate_literal_removal,[],[f366]) ).
fof(f366,plain,
! [X0,X1] :
( member(sK4(X0,difference(X0,X1)),X1)
| subset(X0,difference(X0,X1))
| subset(X0,difference(X0,X1)) ),
inference(resolution,[],[f94,f51]) ).
fof(f94,plain,
! [X2,X0,X1] :
( ~ member(sK4(X0,difference(X1,X2)),X1)
| member(sK4(X0,difference(X1,X2)),X2)
| subset(X0,difference(X1,X2)) ),
inference(resolution,[],[f55,f52]) ).
fof(f55,plain,
! [X2,X0,X1] :
( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f1732,plain,
( ~ spl5_1
| spl5_2 ),
inference(avatar_contradiction_clause,[],[f1731]) ).
fof(f1731,plain,
( $false
| ~ spl5_1
| spl5_2 ),
inference(subsumption_resolution,[],[f1728,f69]) ).
fof(f1728,plain,
( sK0 = difference(sK0,sK1)
| ~ spl5_1 ),
inference(resolution,[],[f1726,f128]) ).
fof(f128,plain,
! [X0,X1] :
( ~ subset(X0,difference(X0,X1))
| difference(X0,X1) = X0 ),
inference(resolution,[],[f109,f45]) ).
fof(f339,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_contradiction_clause,[],[f338]) ).
fof(f338,plain,
( $false
| ~ spl5_1
| ~ spl5_2 ),
inference(global_subsumption,[],[f66,f37,f38,f40,f36,f70,f51,f72,f52,f74,f53,f54,f78,f56,f81,f82,f79,f57,f45,f86,f50,f55,f94,f58,f98,f75,f102,f103,f104,f105,f106,f111,f112,f41,f114,f115,f116,f117,f120,f121,f122,f123,f109,f129,f113,f118,f137,f138,f139,f140,f142,f124,f152,f153,f154,f155,f107,f42,f164,f165,f119,f125,f128,f77,f182,f183,f186,f188,f189,f191,f190,f187,f48,f208,f209,f210,f211,f214,f215,f216,f217,f212,f221,f222,f223,f224,f218,f228,f229,f230,f231,f213,f219,f80,f240,f241,f242,f243,f246,f247,f244,f249,f250,f252,f254,f248,f256,f257,f259,f251,f261,f263,f264,f253,f270,f271,f272,f273,f49,f281,f282,f258,f288,f289,f260,f83,f307,f308,f309,f310,f312,f313,f314,f245,f322,f323,f326,f327,f328,f330,f329,f335]) ).
fof(f335,plain,
( empty_set != intersection(sK0,sK1)
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f37,f70]) ).
fof(f329,plain,
( empty_set = intersection(sK0,sK1)
| ~ spl5_2 ),
inference(resolution,[],[f326,f86]) ).
fof(f330,plain,
( ! [X0] : intersection(sK0,sK1) = difference(intersection(sK0,sK1),X0)
| ~ spl5_2 ),
inference(resolution,[],[f326,f128]) ).
fof(f328,plain,
( ! [X0] :
( intersection(sK0,sK1) = X0
| ~ subset(X0,intersection(sK0,sK1)) )
| ~ spl5_2 ),
inference(resolution,[],[f326,f45]) ).
fof(f327,plain,
( ! [X0,X1] :
( ~ member(X0,intersection(sK0,sK1))
| member(X0,X1) )
| ~ spl5_2 ),
inference(resolution,[],[f326,f50]) ).
fof(f326,plain,
( ! [X0] : subset(intersection(sK0,sK1),X0)
| ~ spl5_2 ),
inference(forward_demodulation,[],[f325,f40]) ).
fof(f325,plain,
( ! [X0] : subset(intersection(sK1,sK0),X0)
| ~ spl5_2 ),
inference(duplicate_literal_removal,[],[f321]) ).
fof(f321,plain,
( ! [X0] :
( subset(intersection(sK1,sK0),X0)
| subset(intersection(sK1,sK0),X0) )
| ~ spl5_2 ),
inference(resolution,[],[f245,f83]) ).
fof(f323,plain,
( ! [X0,X1] :
( ~ member(sK4(intersection(X0,sK1),X1),sK0)
| subset(intersection(sK1,X0),X1) )
| ~ spl5_2 ),
inference(superposition,[],[f245,f40]) ).
fof(f322,plain,
( ! [X0,X1] :
( ~ member(sK4(intersection(X0,sK1),X1),sK0)
| subset(intersection(sK1,X0),X1) )
| ~ spl5_2 ),
inference(superposition,[],[f245,f40]) ).
fof(f245,plain,
( ! [X0,X1] :
( ~ member(sK4(intersection(sK1,X0),X1),sK0)
| subset(intersection(sK1,X0),X1) )
| ~ spl5_2 ),
inference(resolution,[],[f80,f78]) ).
fof(f314,plain,
! [X2,X0,X1] :
( member(sK4(intersection(X1,X0),X2),X1)
| subset(intersection(X0,X1),X2) ),
inference(superposition,[],[f83,f40]) ).
fof(f313,plain,
! [X2,X0,X1] :
( member(sK4(intersection(X1,X0),X2),X1)
| subset(intersection(X0,X1),X2) ),
inference(superposition,[],[f83,f40]) ).
fof(f312,plain,
( ! [X0,X1] :
( subset(intersection(X0,sK1),X1)
| ~ member(sK4(intersection(X0,sK1),X1),sK0) )
| ~ spl5_2 ),
inference(resolution,[],[f83,f78]) ).
fof(f310,plain,
! [X2,X3,X0,X1] :
( subset(intersection(X0,difference(X1,X2)),X3)
| member(sK4(intersection(X0,difference(X1,X2)),X3),X1) ),
inference(resolution,[],[f83,f53]) ).
fof(f309,plain,
! [X2,X3,X0,X1] :
( subset(intersection(X0,difference(X1,X2)),X3)
| ~ member(sK4(intersection(X0,difference(X1,X2)),X3),X2) ),
inference(resolution,[],[f83,f54]) ).
fof(f308,plain,
! [X2,X3,X0,X1] :
( subset(intersection(X0,intersection(X1,X2)),X3)
| member(sK4(intersection(X0,intersection(X1,X2)),X3),X1) ),
inference(resolution,[],[f83,f56]) ).
fof(f307,plain,
! [X2,X3,X0,X1] :
( subset(intersection(X0,intersection(X1,X2)),X3)
| member(sK4(intersection(X0,intersection(X1,X2)),X3),X2) ),
inference(resolution,[],[f83,f57]) ).
fof(f83,plain,
! [X2,X0,X1] :
( member(sK4(intersection(X0,X1),X2),X1)
| subset(intersection(X0,X1),X2) ),
inference(resolution,[],[f57,f51]) ).
fof(f260,plain,
! [X0] : empty_set = intersection(X0,empty_set),
inference(superposition,[],[f251,f40]) ).
fof(f289,plain,
! [X0] : empty_set = intersection(X0,empty_set),
inference(resolution,[],[f258,f86]) ).
fof(f288,plain,
! [X0,X1] :
( ~ subset(X0,intersection(X1,X0))
| intersection(X1,X0) = X0 ),
inference(resolution,[],[f258,f45]) ).
fof(f258,plain,
! [X0,X1] : subset(intersection(X1,X0),X0),
inference(superposition,[],[f248,f40]) ).
fof(f282,plain,
! [X2,X0,X1] :
( intersection(X1,X2) = X0
| ~ member(sK3(X0,intersection(X1,X2)),X0)
| ~ member(sK3(X0,intersection(X1,X2)),X2)
| ~ member(sK3(X0,intersection(X1,X2)),X1) ),
inference(resolution,[],[f49,f58]) ).
fof(f281,plain,
! [X2,X0,X1] :
( difference(X1,X2) = X0
| ~ member(sK3(X0,difference(X1,X2)),X0)
| member(sK3(X0,difference(X1,X2)),X2)
| ~ member(sK3(X0,difference(X1,X2)),X1) ),
inference(resolution,[],[f49,f55]) ).
fof(f49,plain,
! [X0,X1] :
( ~ member(sK3(X0,X1),X1)
| X0 = X1
| ~ member(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,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])],[f25,f26]) ).
fof(f26,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(f25,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,[],[f24]) ).
fof(f24,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,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( X0 = X1
<=> ! [X2] :
( member(X2,X0)
<=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_member_defn) ).
fof(f273,plain,
! [X0,X1] : intersection(X0,empty_set) = difference(intersection(X0,empty_set),X1),
inference(resolution,[],[f253,f128]) ).
fof(f272,plain,
! [X0] : empty_set = intersection(X0,empty_set),
inference(resolution,[],[f253,f86]) ).
fof(f271,plain,
! [X0,X1] :
( intersection(X1,empty_set) = X0
| ~ subset(X0,intersection(X1,empty_set)) ),
inference(resolution,[],[f253,f45]) ).
fof(f270,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,empty_set))
| member(X0,X2) ),
inference(resolution,[],[f253,f50]) ).
fof(f253,plain,
! [X0,X1] : subset(intersection(X0,empty_set),X1),
inference(superposition,[],[f244,f40]) ).
fof(f264,plain,
! [X0] : empty_set = intersection(X0,empty_set),
inference(superposition,[],[f40,f251]) ).
fof(f263,plain,
! [X0] : empty_set = intersection(X0,empty_set),
inference(superposition,[],[f40,f251]) ).
fof(f261,plain,
! [X0] : empty_set = intersection(X0,empty_set),
inference(superposition,[],[f251,f40]) ).
fof(f251,plain,
! [X0] : empty_set = intersection(empty_set,X0),
inference(resolution,[],[f244,f86]) ).
fof(f259,plain,
! [X0,X1] : subset(intersection(X1,X0),X0),
inference(superposition,[],[f248,f40]) ).
fof(f257,plain,
! [X0] : empty_set = intersection(empty_set,X0),
inference(resolution,[],[f248,f86]) ).
fof(f256,plain,
! [X0,X1] :
( ~ subset(X0,intersection(X0,X1))
| intersection(X0,X1) = X0 ),
inference(resolution,[],[f248,f45]) ).
fof(f248,plain,
! [X0,X1] : subset(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f239]) ).
fof(f239,plain,
! [X0,X1] :
( subset(intersection(X0,X1),X0)
| subset(intersection(X0,X1),X0) ),
inference(resolution,[],[f80,f52]) ).
fof(f254,plain,
! [X0,X1] : subset(intersection(X0,empty_set),X1),
inference(superposition,[],[f244,f40]) ).
fof(f252,plain,
! [X0,X1] : intersection(empty_set,X0) = difference(intersection(empty_set,X0),X1),
inference(resolution,[],[f244,f128]) ).
fof(f250,plain,
! [X0,X1] :
( intersection(empty_set,X1) = X0
| ~ subset(X0,intersection(empty_set,X1)) ),
inference(resolution,[],[f244,f45]) ).
fof(f249,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(empty_set,X1))
| member(X0,X2) ),
inference(resolution,[],[f244,f50]) ).
fof(f244,plain,
! [X0,X1] : subset(intersection(empty_set,X0),X1),
inference(resolution,[],[f80,f38]) ).
fof(f247,plain,
! [X2,X0,X1] :
( member(sK4(intersection(X1,X0),X2),X0)
| subset(intersection(X0,X1),X2) ),
inference(superposition,[],[f80,f40]) ).
fof(f246,plain,
! [X2,X0,X1] :
( member(sK4(intersection(X1,X0),X2),X0)
| subset(intersection(X0,X1),X2) ),
inference(superposition,[],[f80,f40]) ).
fof(f243,plain,
! [X2,X3,X0,X1] :
( subset(intersection(difference(X0,X1),X2),X3)
| member(sK4(intersection(difference(X0,X1),X2),X3),X0) ),
inference(resolution,[],[f80,f53]) ).
fof(f242,plain,
! [X2,X3,X0,X1] :
( subset(intersection(difference(X0,X1),X2),X3)
| ~ member(sK4(intersection(difference(X0,X1),X2),X3),X1) ),
inference(resolution,[],[f80,f54]) ).
fof(f241,plain,
! [X2,X3,X0,X1] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK4(intersection(intersection(X0,X1),X2),X3),X0) ),
inference(resolution,[],[f80,f56]) ).
fof(f240,plain,
! [X2,X3,X0,X1] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK4(intersection(intersection(X0,X1),X2),X3),X1) ),
inference(resolution,[],[f80,f57]) ).
fof(f80,plain,
! [X2,X0,X1] :
( member(sK4(intersection(X0,X1),X2),X0)
| subset(intersection(X0,X1),X2) ),
inference(resolution,[],[f56,f51]) ).
fof(f219,plain,
( ! [X0] :
( ~ member(sK3(sK1,X0),sK0)
| sK1 = X0
| member(sK3(sK1,X0),X0) )
| ~ spl5_2 ),
inference(resolution,[],[f48,f78]) ).
fof(f213,plain,
( ! [X0] :
( ~ member(sK3(X0,sK1),sK0)
| sK1 = X0
| member(sK3(X0,sK1),X0) )
| ~ spl5_2 ),
inference(resolution,[],[f48,f78]) ).
fof(f231,plain,
! [X0,X1] :
( member(sK3(empty_set,difference(X0,X1)),X0)
| difference(X0,X1) = empty_set ),
inference(resolution,[],[f218,f53]) ).
fof(f230,plain,
! [X0,X1] :
( ~ member(sK3(empty_set,difference(X0,X1)),X1)
| difference(X0,X1) = empty_set ),
inference(resolution,[],[f218,f54]) ).
fof(f229,plain,
! [X0,X1] :
( member(sK3(empty_set,intersection(X0,X1)),X0)
| intersection(X0,X1) = empty_set ),
inference(resolution,[],[f218,f56]) ).
fof(f228,plain,
! [X0,X1] :
( member(sK3(empty_set,intersection(X0,X1)),X1)
| intersection(X0,X1) = empty_set ),
inference(resolution,[],[f218,f57]) ).
fof(f218,plain,
! [X0] :
( member(sK3(empty_set,X0),X0)
| empty_set = X0 ),
inference(resolution,[],[f48,f38]) ).
fof(f224,plain,
! [X0,X1] :
( member(sK3(difference(X0,X1),empty_set),X0)
| difference(X0,X1) = empty_set ),
inference(resolution,[],[f212,f53]) ).
fof(f223,plain,
! [X0,X1] :
( ~ member(sK3(difference(X0,X1),empty_set),X1)
| difference(X0,X1) = empty_set ),
inference(resolution,[],[f212,f54]) ).
fof(f222,plain,
! [X0,X1] :
( member(sK3(intersection(X0,X1),empty_set),X0)
| intersection(X0,X1) = empty_set ),
inference(resolution,[],[f212,f56]) ).
fof(f221,plain,
! [X0,X1] :
( member(sK3(intersection(X0,X1),empty_set),X1)
| intersection(X0,X1) = empty_set ),
inference(resolution,[],[f212,f57]) ).
fof(f212,plain,
! [X0] :
( member(sK3(X0,empty_set),X0)
| empty_set = X0 ),
inference(resolution,[],[f48,f38]) ).
fof(f217,plain,
! [X2,X0,X1] :
( member(sK3(difference(X0,X1),X2),X2)
| difference(X0,X1) = X2
| member(sK3(difference(X0,X1),X2),X0) ),
inference(resolution,[],[f48,f53]) ).
fof(f216,plain,
! [X2,X0,X1] :
( member(sK3(difference(X0,X1),X2),X2)
| difference(X0,X1) = X2
| ~ member(sK3(difference(X0,X1),X2),X1) ),
inference(resolution,[],[f48,f54]) ).
fof(f215,plain,
! [X2,X0,X1] :
( member(sK3(intersection(X0,X1),X2),X2)
| intersection(X0,X1) = X2
| member(sK3(intersection(X0,X1),X2),X0) ),
inference(resolution,[],[f48,f56]) ).
fof(f214,plain,
! [X2,X0,X1] :
( member(sK3(intersection(X0,X1),X2),X2)
| intersection(X0,X1) = X2
| member(sK3(intersection(X0,X1),X2),X1) ),
inference(resolution,[],[f48,f57]) ).
fof(f211,plain,
! [X2,X0,X1] :
( member(sK3(X0,difference(X1,X2)),X0)
| difference(X1,X2) = X0
| member(sK3(X0,difference(X1,X2)),X1) ),
inference(resolution,[],[f48,f53]) ).
fof(f210,plain,
! [X2,X0,X1] :
( member(sK3(X0,difference(X1,X2)),X0)
| difference(X1,X2) = X0
| ~ member(sK3(X0,difference(X1,X2)),X2) ),
inference(resolution,[],[f48,f54]) ).
fof(f209,plain,
! [X2,X0,X1] :
( member(sK3(X0,intersection(X1,X2)),X0)
| intersection(X1,X2) = X0
| member(sK3(X0,intersection(X1,X2)),X1) ),
inference(resolution,[],[f48,f56]) ).
fof(f208,plain,
! [X2,X0,X1] :
( member(sK3(X0,intersection(X1,X2)),X0)
| intersection(X1,X2) = X0
| member(sK3(X0,intersection(X1,X2)),X2) ),
inference(resolution,[],[f48,f57]) ).
fof(f48,plain,
! [X0,X1] :
( member(sK3(X0,X1),X1)
| member(sK3(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f27]) ).
fof(f187,plain,
( ! [X0] :
( ~ member(sK4(sK0,X0),sK1)
| subset(sK0,X0) )
| ~ spl5_2 ),
inference(forward_demodulation,[],[f184,f70]) ).
fof(f184,plain,
( ! [X0] :
( ~ member(sK4(sK0,X0),sK1)
| subset(difference(sK0,sK1),X0) )
| ~ spl5_2 ),
inference(superposition,[],[f77,f70]) ).
fof(f190,plain,
! [X0] : empty_set = difference(X0,X0),
inference(resolution,[],[f186,f86]) ).
fof(f191,plain,
! [X0,X1] : difference(X0,X0) = difference(difference(X0,X0),X1),
inference(resolution,[],[f186,f128]) ).
fof(f189,plain,
! [X0,X1] :
( difference(X1,X1) = X0
| ~ subset(X0,difference(X1,X1)) ),
inference(resolution,[],[f186,f45]) ).
fof(f188,plain,
! [X2,X0,X1] :
( ~ member(X0,difference(X1,X1))
| member(X0,X2) ),
inference(resolution,[],[f186,f50]) ).
fof(f186,plain,
! [X0,X1] : subset(difference(X0,X0),X1),
inference(duplicate_literal_removal,[],[f181]) ).
fof(f181,plain,
! [X0,X1] :
( subset(difference(X0,X0),X1)
| subset(difference(X0,X0),X1) ),
inference(resolution,[],[f77,f75]) ).
fof(f183,plain,
! [X2,X3,X0,X1] :
( subset(difference(X0,intersection(X1,X2)),X3)
| ~ member(sK4(difference(X0,intersection(X1,X2)),X3),X2)
| ~ member(sK4(difference(X0,intersection(X1,X2)),X3),X1) ),
inference(resolution,[],[f77,f58]) ).
fof(f182,plain,
! [X2,X3,X0,X1] :
( subset(difference(X0,difference(X1,X2)),X3)
| member(sK4(difference(X0,difference(X1,X2)),X3),X2)
| ~ member(sK4(difference(X0,difference(X1,X2)),X3),X1) ),
inference(resolution,[],[f77,f55]) ).
fof(f77,plain,
! [X2,X0,X1] :
( ~ member(sK4(difference(X0,X1),X2),X1)
| subset(difference(X0,X1),X2) ),
inference(resolution,[],[f54,f51]) ).
fof(f125,plain,
( ! [X0] :
( ~ member(sK2(sK1,X0),sK0)
| sK1 = X0
| member(sK2(sK1,X0),X0) )
| ~ spl5_2 ),
inference(resolution,[],[f41,f78]) ).
fof(f119,plain,
( ! [X0] :
( ~ member(sK2(X0,sK1),sK0)
| sK1 = X0
| member(sK2(X0,sK1),X0) )
| ~ spl5_2 ),
inference(resolution,[],[f41,f78]) ).
fof(f165,plain,
! [X2,X0,X1] :
( intersection(X1,X2) = X0
| ~ member(sK2(X0,intersection(X1,X2)),X0)
| ~ member(sK2(X0,intersection(X1,X2)),X2)
| ~ member(sK2(X0,intersection(X1,X2)),X1) ),
inference(resolution,[],[f42,f58]) ).
fof(f164,plain,
! [X2,X0,X1] :
( difference(X1,X2) = X0
| ~ member(sK2(X0,difference(X1,X2)),X0)
| member(sK2(X0,difference(X1,X2)),X2)
| ~ member(sK2(X0,difference(X1,X2)),X1) ),
inference(resolution,[],[f42,f55]) ).
fof(f42,plain,
! [X0,X1] :
( ~ member(sK2(X0,X1),X1)
| X0 = X1
| ~ member(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ member(sK2(X0,X1),X1)
| ~ member(sK2(X0,X1),X0) )
& ( member(sK2(X0,X1),X1)
| member(sK2(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f19,f20]) ).
fof(f20,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) )
=> ( ( ~ member(sK2(X0,X1),X1)
| ~ member(sK2(X0,X1),X0) )
& ( member(sK2(X0,X1),X1)
| member(sK2(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( member(X2,X0)
<~> member(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ! [X2] :
( member(X2,X0)
<=> member(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_equal) ).
fof(f107,plain,
( ! [X0,X1] :
( ~ member(sK4(difference(sK1,X0),X1),sK0)
| subset(difference(sK1,X0),X1) )
| ~ spl5_2 ),
inference(resolution,[],[f75,f78]) ).
fof(f155,plain,
! [X0,X1] :
( member(sK2(empty_set,difference(X0,X1)),X0)
| difference(X0,X1) = empty_set ),
inference(resolution,[],[f124,f53]) ).
fof(f154,plain,
! [X0,X1] :
( ~ member(sK2(empty_set,difference(X0,X1)),X1)
| difference(X0,X1) = empty_set ),
inference(resolution,[],[f124,f54]) ).
fof(f153,plain,
! [X0,X1] :
( member(sK2(empty_set,intersection(X0,X1)),X0)
| intersection(X0,X1) = empty_set ),
inference(resolution,[],[f124,f56]) ).
fof(f152,plain,
! [X0,X1] :
( member(sK2(empty_set,intersection(X0,X1)),X1)
| intersection(X0,X1) = empty_set ),
inference(resolution,[],[f124,f57]) ).
fof(f124,plain,
! [X0] :
( member(sK2(empty_set,X0),X0)
| empty_set = X0 ),
inference(resolution,[],[f41,f38]) ).
fof(f142,plain,
( empty_set = sK1
| ~ member(sK2(sK1,empty_set),sK0)
| ~ spl5_2 ),
inference(resolution,[],[f118,f78]) ).
fof(f140,plain,
! [X0,X1] :
( member(sK2(difference(X0,X1),empty_set),X0)
| difference(X0,X1) = empty_set ),
inference(resolution,[],[f118,f53]) ).
fof(f139,plain,
! [X0,X1] :
( ~ member(sK2(difference(X0,X1),empty_set),X1)
| difference(X0,X1) = empty_set ),
inference(resolution,[],[f118,f54]) ).
fof(f138,plain,
! [X0,X1] :
( member(sK2(intersection(X0,X1),empty_set),X0)
| intersection(X0,X1) = empty_set ),
inference(resolution,[],[f118,f56]) ).
fof(f137,plain,
! [X0,X1] :
( member(sK2(intersection(X0,X1),empty_set),X1)
| intersection(X0,X1) = empty_set ),
inference(resolution,[],[f118,f57]) ).
fof(f118,plain,
! [X0] :
( member(sK2(X0,empty_set),X0)
| empty_set = X0 ),
inference(resolution,[],[f41,f38]) ).
fof(f113,plain,
! [X0] : empty_set = difference(empty_set,X0),
inference(resolution,[],[f106,f86]) ).
fof(f129,plain,
! [X0] : empty_set = difference(empty_set,X0),
inference(resolution,[],[f109,f86]) ).
fof(f123,plain,
! [X2,X0,X1] :
( member(sK2(difference(X0,X1),X2),X2)
| member(sK2(difference(X0,X1),X2),X0)
| difference(X0,X1) = X2 ),
inference(resolution,[],[f41,f53]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ member(sK2(difference(X0,X1),X2),X1)
| difference(X0,X1) = X2
| member(sK2(difference(X0,X1),X2),X2) ),
inference(resolution,[],[f41,f54]) ).
fof(f121,plain,
! [X2,X0,X1] :
( member(sK2(intersection(X0,X1),X2),X2)
| member(sK2(intersection(X0,X1),X2),X0)
| intersection(X0,X1) = X2 ),
inference(resolution,[],[f41,f56]) ).
fof(f120,plain,
! [X2,X0,X1] :
( member(sK2(intersection(X0,X1),X2),X2)
| member(sK2(intersection(X0,X1),X2),X1)
| intersection(X0,X1) = X2 ),
inference(resolution,[],[f41,f57]) ).
fof(f117,plain,
! [X2,X0,X1] :
( member(sK2(X0,difference(X1,X2)),X1)
| member(sK2(X0,difference(X1,X2)),X0)
| difference(X1,X2) = X0 ),
inference(resolution,[],[f41,f53]) ).
fof(f116,plain,
! [X2,X0,X1] :
( ~ member(sK2(X0,difference(X1,X2)),X2)
| difference(X1,X2) = X0
| member(sK2(X0,difference(X1,X2)),X0) ),
inference(resolution,[],[f41,f54]) ).
fof(f115,plain,
! [X2,X0,X1] :
( member(sK2(X0,intersection(X1,X2)),X1)
| member(sK2(X0,intersection(X1,X2)),X0)
| intersection(X1,X2) = X0 ),
inference(resolution,[],[f41,f56]) ).
fof(f114,plain,
! [X2,X0,X1] :
( member(sK2(X0,intersection(X1,X2)),X2)
| member(sK2(X0,intersection(X1,X2)),X0)
| intersection(X1,X2) = X0 ),
inference(resolution,[],[f41,f57]) ).
fof(f41,plain,
! [X0,X1] :
( member(sK2(X0,X1),X1)
| member(sK2(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f21]) ).
fof(f112,plain,
! [X0,X1] :
( difference(empty_set,X1) = X0
| ~ subset(X0,difference(empty_set,X1)) ),
inference(resolution,[],[f106,f45]) ).
fof(f111,plain,
! [X2,X0,X1] :
( ~ member(X0,difference(empty_set,X1))
| member(X0,X2) ),
inference(resolution,[],[f106,f50]) ).
fof(f106,plain,
! [X0,X1] : subset(difference(empty_set,X0),X1),
inference(resolution,[],[f75,f38]) ).
fof(f105,plain,
! [X2,X3,X0,X1] :
( subset(difference(difference(X0,X1),X2),X3)
| member(sK4(difference(difference(X0,X1),X2),X3),X0) ),
inference(resolution,[],[f75,f53]) ).
fof(f104,plain,
! [X2,X3,X0,X1] :
( subset(difference(difference(X0,X1),X2),X3)
| ~ member(sK4(difference(difference(X0,X1),X2),X3),X1) ),
inference(resolution,[],[f75,f54]) ).
fof(f103,plain,
! [X2,X3,X0,X1] :
( subset(difference(intersection(X0,X1),X2),X3)
| member(sK4(difference(intersection(X0,X1),X2),X3),X0) ),
inference(resolution,[],[f75,f56]) ).
fof(f102,plain,
! [X2,X3,X0,X1] :
( subset(difference(intersection(X0,X1),X2),X3)
| member(sK4(difference(intersection(X0,X1),X2),X3),X1) ),
inference(resolution,[],[f75,f57]) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ member(sK4(X0,intersection(X1,X2)),X2)
| ~ member(sK4(X0,intersection(X1,X2)),X1)
| subset(X0,intersection(X1,X2)) ),
inference(resolution,[],[f58,f52]) ).
fof(f50,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f86,plain,
! [X0] :
( ~ subset(X0,empty_set)
| empty_set = X0 ),
inference(resolution,[],[f45,f72]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f79,plain,
( ! [X0] :
( ~ member(sK4(sK1,X0),sK0)
| subset(sK1,X0) )
| ~ spl5_2 ),
inference(resolution,[],[f78,f51]) ).
fof(f82,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X1,X0))
| member(X2,X0) ),
inference(superposition,[],[f56,f40]) ).
fof(f81,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X1,X0))
| member(X2,X0) ),
inference(superposition,[],[f56,f40]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f78,plain,
( ! [X0] :
( ~ member(X0,sK1)
| ~ member(X0,sK0) )
| ~ spl5_2 ),
inference(superposition,[],[f54,f70]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f74,plain,
! [X0] : subset(X0,X0),
inference(duplicate_literal_removal,[],[f73]) ).
fof(f73,plain,
! [X0] :
( subset(X0,X0)
| subset(X0,X0) ),
inference(resolution,[],[f52,f51]) ).
fof(f72,plain,
! [X0] : subset(empty_set,X0),
inference(resolution,[],[f51,f38]) ).
fof(f70,plain,
( sK0 = difference(sK0,sK1)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f36,plain,
( sK0 = difference(sK0,sK1)
| empty_set = intersection(sK0,sK1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( sK0 != difference(sK0,sK1)
| empty_set != intersection(sK0,sK1) )
& ( sK0 = difference(sK0,sK1)
| empty_set = intersection(sK0,sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f16,f17]) ).
fof(f17,plain,
( ? [X0,X1] :
( ( difference(X0,X1) != X0
| intersection(X0,X1) != empty_set )
& ( difference(X0,X1) = X0
| intersection(X0,X1) = empty_set ) )
=> ( ( sK0 != difference(sK0,sK1)
| empty_set != intersection(sK0,sK1) )
& ( sK0 = difference(sK0,sK1)
| empty_set = intersection(sK0,sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0,X1] :
( ( difference(X0,X1) != X0
| intersection(X0,X1) != empty_set )
& ( difference(X0,X1) = X0
| intersection(X0,X1) = empty_set ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
? [X0,X1] :
( intersection(X0,X1) = empty_set
<~> difference(X0,X1) = X0 ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,negated_conjecture,
~ ! [X0,X1] :
( intersection(X0,X1) = empty_set
<=> difference(X0,X1) = X0 ),
inference(negated_conjecture,[],[f11]) ).
fof(f11,conjecture,
! [X0,X1] :
( intersection(X0,X1) = empty_set
<=> difference(X0,X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th84) ).
fof(f40,plain,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_intersection) ).
fof(f37,plain,
( sK0 != difference(sK0,sK1)
| empty_set != intersection(sK0,sK1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f337,plain,
~ spl5_2,
inference(avatar_contradiction_clause,[],[f336]) ).
fof(f336,plain,
( $false
| ~ spl5_2 ),
inference(global_subsumption,[],[f37,f38,f40,f36,f70,f51,f72,f52,f74,f53,f54,f78,f56,f81,f82,f79,f57,f45,f86,f50,f55,f94,f58,f98,f75,f102,f103,f104,f105,f106,f111,f112,f41,f114,f115,f116,f117,f120,f121,f122,f123,f109,f129,f113,f118,f137,f138,f139,f140,f142,f124,f152,f153,f154,f155,f107,f42,f164,f165,f119,f125,f128,f77,f182,f183,f186,f188,f189,f191,f190,f187,f48,f208,f209,f210,f211,f214,f215,f216,f217,f212,f221,f222,f223,f224,f218,f228,f229,f230,f231,f213,f219,f80,f240,f241,f242,f243,f246,f247,f244,f249,f250,f252,f254,f248,f256,f257,f259,f251,f261,f263,f264,f253,f270,f271,f272,f273,f49,f281,f282,f258,f288,f289,f260,f83,f307,f308,f309,f310,f312,f313,f314,f245,f322,f323,f326,f327,f328,f330,f329,f335]) ).
fof(f334,plain,
~ spl5_2,
inference(avatar_contradiction_clause,[],[f333]) ).
fof(f333,plain,
( $false
| ~ spl5_2 ),
inference(global_subsumption,[],[f37,f38,f40,f36,f70,f51,f72,f52,f74,f53,f54,f78,f56,f81,f82,f79,f57,f45,f86,f50,f55,f94,f58,f98,f75,f102,f103,f104,f105,f106,f111,f112,f41,f114,f115,f116,f117,f120,f121,f122,f123,f109,f129,f113,f118,f137,f138,f139,f140,f142,f124,f152,f153,f154,f155,f107,f42,f164,f165,f119,f125,f128,f77,f182,f183,f186,f188,f189,f191,f190,f187,f48,f208,f209,f210,f211,f214,f215,f216,f217,f212,f221,f222,f223,f224,f218,f228,f229,f230,f231,f213,f219,f80,f240,f241,f242,f243,f246,f247,f244,f249,f250,f252,f254,f248,f256,f257,f259,f251,f261,f263,f264,f253,f270,f271,f272,f273,f49,f281,f282,f258,f288,f289,f260,f83,f307,f308,f309,f310,f312,f313,f314,f245,f322,f323,f326,f327,f328,f330,f329]) ).
fof(f332,plain,
( spl5_1
| ~ spl5_2 ),
inference(avatar_contradiction_clause,[],[f331]) ).
fof(f331,plain,
( $false
| spl5_1
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f329,f65]) ).
fof(f65,plain,
( empty_set != intersection(sK0,sK1)
| spl5_1 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f151,plain,
( ~ spl5_3
| spl5_4
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f142,f68,f148,f144]) ).
fof(f144,plain,
( spl5_3
<=> member(sK2(sK1,empty_set),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f148,plain,
( spl5_4
<=> empty_set = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f71,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f36,f68,f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET611+3 : TPTP v8.1.2. Released v2.2.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 16:43:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (25578)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (25581)WARNING: value z3 for option sas not known
% 0.14/0.37 % (25582)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (25579)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (25580)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (25581)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (25584)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (25585)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 % (25583)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [4]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [5]
% 0.14/0.41 TRYING [6]
% 0.14/0.41 TRYING [4]
% 0.14/0.42 % (25581)First to succeed.
% 0.14/0.42 % (25581)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25578"
% 0.14/0.42 % (25581)Refutation found. Thanks to Tanya!
% 0.14/0.42 % SZS status Theorem for theBenchmark
% 0.14/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.43 % (25581)------------------------------
% 0.14/0.43 % (25581)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.43 % (25581)Termination reason: Refutation
% 0.14/0.43
% 0.14/0.43 % (25581)Memory used [KB]: 1326
% 0.14/0.43 % (25581)Time elapsed: 0.049 s
% 0.14/0.43 % (25581)Instructions burned: 80 (million)
% 0.14/0.43 % (25578)Success in time 0.066 s
%------------------------------------------------------------------------------