TSTP Solution File: SET919+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET919+1 : 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 : n022.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 09:09:03 EDT 2024
% Result : Theorem 0.59s 0.80s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 16
% Syntax : Number of formulae : 119 ( 21 unt; 0 def)
% Number of atoms : 433 ( 193 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 502 ( 188 ~; 227 |; 72 &)
% ( 9 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 188 ( 168 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1674,plain,
$false,
inference(avatar_sat_refutation,[],[f78,f1211,f1483,f1649]) ).
fof(f1649,plain,
~ spl9_2,
inference(avatar_contradiction_clause,[],[f1648]) ).
fof(f1648,plain,
( $false
| ~ spl9_2 ),
inference(subsumption_resolution,[],[f1602,f1582]) ).
fof(f1582,plain,
( sF6 = sF7
| ~ spl9_2 ),
inference(subsumption_resolution,[],[f1556,f79]) ).
fof(f79,plain,
in(sK0,sF6),
inference(superposition,[],[f64,f66]) ).
fof(f66,plain,
singleton(sK0) = sF6,
introduced(function_definition,[new_symbols(definition,[sF6])]) ).
fof(f64,plain,
! [X3] : in(X3,singleton(X3)),
inference(equality_resolution,[],[f63]) ).
fof(f63,plain,
! [X3,X1] :
( in(X3,X1)
| singleton(X3) != X1 ),
inference(equality_resolution,[],[f52]) ).
fof(f52,plain,
! [X3,X0,X1] :
( in(X3,X1)
| X0 != X3
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ( ( sK5(X0,X1) != X0
| ~ in(sK5(X0,X1),X1) )
& ( sK5(X0,X1) = X0
| in(sK5(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f29,f30]) ).
fof(f30,plain,
! [X0,X1] :
( ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) )
=> ( ( sK5(X0,X1) != X0
| ~ in(sK5(X0,X1),X1) )
& ( sK5(X0,X1) = X0
| in(sK5(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| X0 != X2 )
& ( X0 = X2
| ~ in(X2,X1) ) )
| singleton(X0) != X1 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( singleton(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> X0 = X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.eROqFWyVLE/Vampire---4.8_19309',d1_tarski) ).
fof(f1556,plain,
( sF6 = sF7
| ~ in(sK0,sF6)
| ~ spl9_2 ),
inference(superposition,[],[f1554,f913]) ).
fof(f913,plain,
sF6 = set_intersection2(sF7,sF6),
inference(duplicate_literal_removal,[],[f899]) ).
fof(f899,plain,
( sF6 = set_intersection2(sF7,sF6)
| sF6 = set_intersection2(sF7,sF6) ),
inference(resolution,[],[f244,f317]) ).
fof(f317,plain,
! [X0] :
( in(sK3(X0,sF6,sF6),sF7)
| sF6 = set_intersection2(X0,sF6) ),
inference(resolution,[],[f292,f110]) ).
fof(f110,plain,
! [X0] :
( ~ in(X0,sF8)
| in(X0,sF7) ),
inference(superposition,[],[f56,f89]) ).
fof(f89,plain,
sF8 = set_intersection2(sK1,sF7),
inference(superposition,[],[f42,f68]) ).
fof(f68,plain,
set_intersection2(sF7,sK1) = sF8,
introduced(function_definition,[new_symbols(definition,[sF8])]) ).
fof(f42,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.eROqFWyVLE/Vampire---4.8_19309',commutativity_k3_xboole_0) ).
fof(f56,plain,
! [X0,X1,X4] :
( ~ in(X4,set_intersection2(X0,X1))
| in(X4,X1) ),
inference(equality_resolution,[],[f37]) ).
fof(f37,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| ~ in(X4,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ( set_intersection2(X0,X1) = X2
| ( ( ~ in(sK3(X0,X1,X2),X1)
| ~ in(sK3(X0,X1,X2),X0)
| ~ in(sK3(X0,X1,X2),X2) )
& ( ( in(sK3(X0,X1,X2),X1)
& in(sK3(X0,X1,X2),X0) )
| in(sK3(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X1)
| ~ in(X4,X0) )
& ( ( in(X4,X1)
& in(X4,X0) )
| ~ in(X4,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f20,f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) )
=> ( ( ~ in(sK3(X0,X1,X2),X1)
| ~ in(sK3(X0,X1,X2),X0)
| ~ in(sK3(X0,X1,X2),X2) )
& ( ( in(sK3(X0,X1,X2),X1)
& in(sK3(X0,X1,X2),X0) )
| in(sK3(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ( set_intersection2(X0,X1) = X2
| ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X1)
| ~ in(X4,X0) )
& ( ( in(X4,X1)
& in(X4,X0) )
| ~ in(X4,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(rectify,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ( set_intersection2(X0,X1) = X2
| ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( ( in(X3,X1)
& in(X3,X0) )
| ~ in(X3,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ( set_intersection2(X0,X1) = X2
| ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( ( in(X3,X1)
& in(X3,X0) )
| ~ in(X3,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( set_intersection2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.eROqFWyVLE/Vampire---4.8_19309',d3_xboole_0) ).
fof(f292,plain,
! [X0] :
( in(sK3(X0,sF6,sF6),sF8)
| sF6 = set_intersection2(X0,sF6) ),
inference(resolution,[],[f275,f198]) ).
fof(f198,plain,
! [X0,X1] :
( in(sK3(X0,X1,X1),X1)
| set_intersection2(X0,X1) = X1 ),
inference(factoring,[],[f40]) ).
fof(f40,plain,
! [X2,X0,X1] :
( in(sK3(X0,X1,X2),X2)
| in(sK3(X0,X1,X2),X1)
| set_intersection2(X0,X1) = X2 ),
inference(cnf_transformation,[],[f22]) ).
fof(f275,plain,
! [X0] :
( ~ in(X0,sF6)
| in(X0,sF8) ),
inference(resolution,[],[f251,f136]) ).
fof(f136,plain,
in(sK0,sF8),
inference(subsumption_resolution,[],[f134,f32]) ).
fof(f32,plain,
in(sK0,sK1),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
( singleton(sK0) != set_intersection2(unordered_pair(sK0,sK2),sK1)
& ( sK0 = sK2
| ~ in(sK2,sK1) )
& in(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f14,f16]) ).
fof(f16,plain,
( ? [X0,X1,X2] :
( singleton(X0) != set_intersection2(unordered_pair(X0,X2),X1)
& ( X0 = X2
| ~ in(X2,X1) )
& in(X0,X1) )
=> ( singleton(sK0) != set_intersection2(unordered_pair(sK0,sK2),sK1)
& ( sK0 = sK2
| ~ in(sK2,sK1) )
& in(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
? [X0,X1,X2] :
( singleton(X0) != set_intersection2(unordered_pair(X0,X2),X1)
& ( X0 = X2
| ~ in(X2,X1) )
& in(X0,X1) ),
inference(flattening,[],[f13]) ).
fof(f13,plain,
? [X0,X1,X2] :
( singleton(X0) != set_intersection2(unordered_pair(X0,X2),X1)
& ( X0 = X2
| ~ in(X2,X1) )
& in(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,negated_conjecture,
~ ! [X0,X1,X2] :
( in(X0,X1)
=> ( singleton(X0) = set_intersection2(unordered_pair(X0,X2),X1)
| ( X0 != X2
& in(X2,X1) ) ) ),
inference(negated_conjecture,[],[f10]) ).
fof(f10,conjecture,
! [X0,X1,X2] :
( in(X0,X1)
=> ( singleton(X0) = set_intersection2(unordered_pair(X0,X2),X1)
| ( X0 != X2
& in(X2,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.eROqFWyVLE/Vampire---4.8_19309',t60_zfmisc_1) ).
fof(f134,plain,
( ~ in(sK0,sK1)
| in(sK0,sF8) ),
inference(resolution,[],[f126,f80]) ).
fof(f80,plain,
in(sK0,sF7),
inference(superposition,[],[f61,f67]) ).
fof(f67,plain,
unordered_pair(sK0,sK2) = sF7,
introduced(function_definition,[new_symbols(definition,[sF7])]) ).
fof(f61,plain,
! [X1,X4] : in(X4,unordered_pair(X4,X1)),
inference(equality_resolution,[],[f60]) ).
fof(f60,plain,
! [X2,X1,X4] :
( in(X4,X2)
| unordered_pair(X4,X1) != X2 ),
inference(equality_resolution,[],[f44]) ).
fof(f44,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| X0 != X4
| unordered_pair(X0,X1) != X2 ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( unordered_pair(X0,X1) = X2
| ( ( ( sK4(X0,X1,X2) != X1
& sK4(X0,X1,X2) != X0 )
| ~ in(sK4(X0,X1,X2),X2) )
& ( sK4(X0,X1,X2) = X1
| sK4(X0,X1,X2) = X0
| in(sK4(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( X1 != X4
& X0 != X4 ) )
& ( X1 = X4
| X0 = X4
| ~ in(X4,X2) ) )
| unordered_pair(X0,X1) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f25,f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( X1 != X3
& X0 != X3 )
| ~ in(X3,X2) )
& ( X1 = X3
| X0 = X3
| in(X3,X2) ) )
=> ( ( ( sK4(X0,X1,X2) != X1
& sK4(X0,X1,X2) != X0 )
| ~ in(sK4(X0,X1,X2),X2) )
& ( sK4(X0,X1,X2) = X1
| sK4(X0,X1,X2) = X0
| in(sK4(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( unordered_pair(X0,X1) = X2
| ? [X3] :
( ( ( X1 != X3
& X0 != X3 )
| ~ in(X3,X2) )
& ( X1 = X3
| X0 = X3
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( X1 != X4
& X0 != X4 ) )
& ( X1 = X4
| X0 = X4
| ~ in(X4,X2) ) )
| unordered_pair(X0,X1) != X2 ) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ( unordered_pair(X0,X1) = X2
| ? [X3] :
( ( ( X1 != X3
& X0 != X3 )
| ~ in(X3,X2) )
& ( X1 = X3
| X0 = X3
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( X1 != X3
& X0 != X3 ) )
& ( X1 = X3
| X0 = X3
| ~ in(X3,X2) ) )
| unordered_pair(X0,X1) != X2 ) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( unordered_pair(X0,X1) = X2
| ? [X3] :
( ( ( X1 != X3
& X0 != X3 )
| ~ in(X3,X2) )
& ( X1 = X3
| X0 = X3
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( X1 != X3
& X0 != X3 ) )
& ( X1 = X3
| X0 = X3
| ~ in(X3,X2) ) )
| unordered_pair(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( unordered_pair(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( X1 = X3
| X0 = X3 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.eROqFWyVLE/Vampire---4.8_19309',d2_tarski) ).
fof(f126,plain,
! [X0] :
( ~ in(X0,sF7)
| ~ in(X0,sK1)
| in(X0,sF8) ),
inference(superposition,[],[f55,f68]) ).
fof(f55,plain,
! [X0,X1,X4] :
( in(X4,set_intersection2(X0,X1))
| ~ in(X4,X1)
| ~ in(X4,X0) ),
inference(equality_resolution,[],[f38]) ).
fof(f38,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X1)
| ~ in(X4,X0)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f22]) ).
fof(f251,plain,
! [X0,X1] :
( ~ in(sK0,X0)
| in(X1,X0)
| ~ in(X1,sF6) ),
inference(superposition,[],[f56,f245]) ).
fof(f245,plain,
! [X0] :
( sF6 = set_intersection2(sF6,X0)
| ~ in(sK0,X0) ),
inference(subsumption_resolution,[],[f238,f79]) ).
fof(f238,plain,
! [X0] :
( ~ in(sK0,sF6)
| ~ in(sK0,X0)
| sF6 = set_intersection2(sF6,X0) ),
inference(duplicate_literal_removal,[],[f237]) ).
fof(f237,plain,
! [X0] :
( ~ in(sK0,sF6)
| ~ in(sK0,X0)
| ~ in(sK0,sF6)
| sF6 = set_intersection2(sF6,X0)
| sF6 = set_intersection2(sF6,X0) ),
inference(superposition,[],[f41,f206]) ).
fof(f206,plain,
! [X0] :
( sK0 = sK3(sF6,X0,sF6)
| sF6 = set_intersection2(sF6,X0) ),
inference(resolution,[],[f185,f102]) ).
fof(f102,plain,
! [X0] :
( ~ in(X0,sF6)
| sK0 = X0 ),
inference(superposition,[],[f65,f66]) ).
fof(f65,plain,
! [X3,X0] :
( ~ in(X3,singleton(X0))
| X0 = X3 ),
inference(equality_resolution,[],[f51]) ).
fof(f51,plain,
! [X3,X0,X1] :
( X0 = X3
| ~ in(X3,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f31]) ).
fof(f185,plain,
! [X0,X1] :
( in(sK3(X0,X1,X0),X0)
| set_intersection2(X0,X1) = X0 ),
inference(factoring,[],[f39]) ).
fof(f39,plain,
! [X2,X0,X1] :
( in(sK3(X0,X1,X2),X2)
| in(sK3(X0,X1,X2),X0)
| set_intersection2(X0,X1) = X2 ),
inference(cnf_transformation,[],[f22]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ in(sK3(X0,X1,X2),X2)
| ~ in(sK3(X0,X1,X2),X1)
| ~ in(sK3(X0,X1,X2),X0)
| set_intersection2(X0,X1) = X2 ),
inference(cnf_transformation,[],[f22]) ).
fof(f244,plain,
! [X0,X1] :
( ~ in(sK3(X0,X1,X1),X0)
| set_intersection2(X0,X1) = X1 ),
inference(subsumption_resolution,[],[f239,f198]) ).
fof(f239,plain,
! [X0,X1] :
( ~ in(sK3(X0,X1,X1),X1)
| ~ in(sK3(X0,X1,X1),X0)
| set_intersection2(X0,X1) = X1 ),
inference(duplicate_literal_removal,[],[f235]) ).
fof(f235,plain,
! [X0,X1] :
( ~ in(sK3(X0,X1,X1),X1)
| ~ in(sK3(X0,X1,X1),X0)
| set_intersection2(X0,X1) = X1
| set_intersection2(X0,X1) = X1 ),
inference(resolution,[],[f41,f198]) ).
fof(f1554,plain,
( ! [X0] :
( sF7 = set_intersection2(sF7,X0)
| ~ in(sK0,X0) )
| ~ spl9_2 ),
inference(duplicate_literal_removal,[],[f1533]) ).
fof(f1533,plain,
( ! [X0] :
( ~ in(sK0,X0)
| sF7 = set_intersection2(sF7,X0)
| sF7 = set_intersection2(sF7,X0) )
| ~ spl9_2 ),
inference(superposition,[],[f243,f1276]) ).
fof(f1276,plain,
( ! [X0] :
( sK0 = sK3(sF7,X0,sF7)
| sF7 = set_intersection2(sF7,X0) )
| ~ spl9_2 ),
inference(resolution,[],[f1264,f185]) ).
fof(f1264,plain,
( ! [X0] :
( ~ in(X0,sF7)
| sK0 = X0 )
| ~ spl9_2 ),
inference(duplicate_literal_removal,[],[f1253]) ).
fof(f1253,plain,
( ! [X0] :
( ~ in(X0,sF7)
| sK0 = X0
| sK0 = X0 )
| ~ spl9_2 ),
inference(superposition,[],[f62,f1248]) ).
fof(f1248,plain,
( sF7 = unordered_pair(sK0,sK0)
| ~ spl9_2 ),
inference(superposition,[],[f67,f77]) ).
fof(f77,plain,
( sK0 = sK2
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl9_2
<=> sK0 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f62,plain,
! [X0,X1,X4] :
( ~ in(X4,unordered_pair(X0,X1))
| X0 = X4
| X1 = X4 ),
inference(equality_resolution,[],[f43]) ).
fof(f43,plain,
! [X2,X0,X1,X4] :
( X1 = X4
| X0 = X4
| ~ in(X4,X2)
| unordered_pair(X0,X1) != X2 ),
inference(cnf_transformation,[],[f27]) ).
fof(f243,plain,
! [X0,X1] :
( ~ in(sK3(X0,X1,X0),X1)
| set_intersection2(X0,X1) = X0 ),
inference(subsumption_resolution,[],[f240,f185]) ).
fof(f240,plain,
! [X0,X1] :
( ~ in(sK3(X0,X1,X0),X1)
| ~ in(sK3(X0,X1,X0),X0)
| set_intersection2(X0,X1) = X0 ),
inference(duplicate_literal_removal,[],[f234]) ).
fof(f234,plain,
! [X0,X1] :
( ~ in(sK3(X0,X1,X0),X1)
| ~ in(sK3(X0,X1,X0),X0)
| set_intersection2(X0,X1) = X0
| set_intersection2(X0,X1) = X0 ),
inference(resolution,[],[f41,f185]) ).
fof(f1602,plain,
( sF6 != sF7
| ~ spl9_2 ),
inference(superposition,[],[f69,f1581]) ).
fof(f1581,plain,
( sF7 = sF8
| ~ spl9_2 ),
inference(subsumption_resolution,[],[f1555,f32]) ).
fof(f1555,plain,
( sF7 = sF8
| ~ in(sK0,sK1)
| ~ spl9_2 ),
inference(superposition,[],[f1554,f68]) ).
fof(f69,plain,
sF6 != sF8,
inference(definition_folding,[],[f34,f68,f67,f66]) ).
fof(f34,plain,
singleton(sK0) != set_intersection2(unordered_pair(sK0,sK2),sK1),
inference(cnf_transformation,[],[f17]) ).
fof(f1483,plain,
~ spl9_12,
inference(avatar_contradiction_clause,[],[f1482]) ).
fof(f1482,plain,
( $false
| ~ spl9_12 ),
inference(subsumption_resolution,[],[f1457,f69]) ).
fof(f1457,plain,
( sF6 = sF8
| ~ spl9_12 ),
inference(superposition,[],[f35,f1446]) ).
fof(f1446,plain,
( sF6 = set_intersection2(sF8,sF8)
| ~ spl9_12 ),
inference(subsumption_resolution,[],[f1445,f136]) ).
fof(f1445,plain,
( ~ in(sK0,sF8)
| sF6 = set_intersection2(sF8,sF8)
| ~ spl9_12 ),
inference(subsumption_resolution,[],[f1442,f79]) ).
fof(f1442,plain,
( ~ in(sK0,sF6)
| ~ in(sK0,sF8)
| sF6 = set_intersection2(sF8,sF8)
| ~ spl9_12 ),
inference(duplicate_literal_removal,[],[f1439]) ).
fof(f1439,plain,
( ~ in(sK0,sF6)
| ~ in(sK0,sF8)
| ~ in(sK0,sF8)
| sF6 = set_intersection2(sF8,sF8)
| ~ spl9_12 ),
inference(superposition,[],[f41,f1196]) ).
fof(f1196,plain,
( sK0 = sK3(sF8,sF8,sF6)
| ~ spl9_12 ),
inference(avatar_component_clause,[],[f1194]) ).
fof(f1194,plain,
( spl9_12
<=> sK0 = sK3(sF8,sF8,sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_12])]) ).
fof(f35,plain,
! [X0] : set_intersection2(X0,X0) = X0,
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0] : set_intersection2(X0,X0) = X0,
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] : set_intersection2(X0,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.eROqFWyVLE/Vampire---4.8_19309',idempotence_k3_xboole_0) ).
fof(f1211,plain,
( spl9_12
| spl9_1 ),
inference(avatar_split_clause,[],[f1210,f71,f1194]) ).
fof(f71,plain,
( spl9_1
<=> in(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f1210,plain,
( in(sK2,sK1)
| sK0 = sK3(sF8,sF8,sF6) ),
inference(subsumption_resolution,[],[f1209,f69]) ).
fof(f1209,plain,
( sF6 = sF8
| in(sK2,sK1)
| sK0 = sK3(sF8,sF8,sF6) ),
inference(forward_demodulation,[],[f1102,f35]) ).
fof(f1102,plain,
( in(sK2,sK1)
| sF6 = set_intersection2(sF8,sF8)
| sK0 = sK3(sF8,sF8,sF6) ),
inference(duplicate_literal_removal,[],[f1096]) ).
fof(f1096,plain,
( in(sK2,sK1)
| sF6 = set_intersection2(sF8,sF8)
| sK0 = sK3(sF8,sF8,sF6)
| sF6 = set_intersection2(sF8,sF8) ),
inference(superposition,[],[f606,f538]) ).
fof(f538,plain,
! [X0] :
( sK2 = sK3(X0,sF8,sF6)
| sK0 = sK3(X0,sF8,sF6)
| sF6 = set_intersection2(X0,sF8) ),
inference(resolution,[],[f533,f131]) ).
fof(f131,plain,
! [X0] :
( ~ in(X0,sF7)
| sK0 = X0
| sK2 = X0 ),
inference(superposition,[],[f62,f67]) ).
fof(f533,plain,
! [X0] :
( in(sK3(X0,sF8,sF6),sF7)
| sF6 = set_intersection2(X0,sF8) ),
inference(resolution,[],[f518,f110]) ).
fof(f518,plain,
! [X0] :
( in(sK3(X0,sF8,sF6),sF8)
| sF6 = set_intersection2(X0,sF8) ),
inference(factoring,[],[f289]) ).
fof(f289,plain,
! [X0,X1] :
( in(sK3(X0,X1,sF6),sF8)
| in(sK3(X0,X1,sF6),X1)
| set_intersection2(X0,X1) = sF6 ),
inference(resolution,[],[f275,f40]) ).
fof(f606,plain,
! [X0] :
( in(sK3(sF8,X0,sF6),sK1)
| sF6 = set_intersection2(sF8,X0) ),
inference(resolution,[],[f602,f109]) ).
fof(f109,plain,
! [X0] :
( ~ in(X0,sF8)
| in(X0,sK1) ),
inference(superposition,[],[f56,f68]) ).
fof(f602,plain,
! [X0] :
( in(sK3(sF8,X0,sF6),sF8)
| sF6 = set_intersection2(sF8,X0) ),
inference(factoring,[],[f290]) ).
fof(f290,plain,
! [X0,X1] :
( in(sK3(X0,X1,sF6),sF8)
| in(sK3(X0,X1,sF6),X0)
| set_intersection2(X0,X1) = sF6 ),
inference(resolution,[],[f275,f39]) ).
fof(f78,plain,
( ~ spl9_1
| spl9_2 ),
inference(avatar_split_clause,[],[f33,f75,f71]) ).
fof(f33,plain,
( sK0 = sK2
| ~ in(sK2,sK1) ),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SET919+1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.15 % 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
% 0.15/0.36 % Computer : n022.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 : Fri May 3 16:21:23 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 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.eROqFWyVLE/Vampire---4.8_19309
% 0.54/0.74 % (19579)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 (2996ds/56Mi)
% 0.54/0.74 % (19572)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 (2996ds/34Mi)
% 0.54/0.74 % (19578)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 (2996ds/83Mi)
% 0.54/0.74 % (19575)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.54/0.74 % (19573)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 (2996ds/51Mi)
% 0.54/0.74 % (19574)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.74 % (19576)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 (2996ds/34Mi)
% 0.54/0.74 % (19577)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.54/0.74 % (19579)Refutation not found, incomplete strategy% (19579)------------------------------
% 0.54/0.74 % (19579)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74 % (19579)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74
% 0.54/0.74 % (19579)Memory used [KB]: 1044
% 0.54/0.74 % (19579)Time elapsed: 0.002 s
% 0.54/0.74 % (19579)Instructions burned: 3 (million)
% 0.54/0.74 % (19579)------------------------------
% 0.54/0.74 % (19579)------------------------------
% 0.59/0.75 % (19577)Refutation not found, incomplete strategy% (19577)------------------------------
% 0.59/0.75 % (19577)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (19577)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (19577)Memory used [KB]: 1039
% 0.59/0.75 % (19577)Time elapsed: 0.003 s
% 0.59/0.75 % (19577)Instructions burned: 3 (million)
% 0.59/0.75 % (19576)Refutation not found, incomplete strategy% (19576)------------------------------
% 0.59/0.75 % (19576)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (19576)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (19576)Memory used [KB]: 1046
% 0.59/0.75 % (19576)Time elapsed: 0.003 s
% 0.59/0.75 % (19576)Instructions burned: 3 (million)
% 0.59/0.75 % (19577)------------------------------
% 0.59/0.75 % (19577)------------------------------
% 0.59/0.75 % (19576)------------------------------
% 0.59/0.75 % (19576)------------------------------
% 0.59/0.75 % (19581)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 (2996ds/50Mi)
% 0.59/0.75 % (19582)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 (2996ds/208Mi)
% 0.59/0.76 % (19580)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 (2996ds/55Mi)
% 0.59/0.76 % (19572)Instruction limit reached!
% 0.59/0.76 % (19572)------------------------------
% 0.59/0.76 % (19572)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (19572)Termination reason: Unknown
% 0.59/0.76 % (19572)Termination phase: Saturation
% 0.59/0.76
% 0.59/0.76 % (19572)Memory used [KB]: 1169
% 0.59/0.76 % (19572)Time elapsed: 0.020 s
% 0.59/0.76 % (19572)Instructions burned: 34 (million)
% 0.59/0.76 % (19572)------------------------------
% 0.59/0.76 % (19572)------------------------------
% 0.59/0.76 % (19575)Instruction limit reached!
% 0.59/0.76 % (19575)------------------------------
% 0.59/0.76 % (19575)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (19575)Termination reason: Unknown
% 0.59/0.76 % (19575)Termination phase: Saturation
% 0.59/0.76
% 0.59/0.76 % (19575)Memory used [KB]: 1363
% 0.59/0.76 % (19575)Time elapsed: 0.021 s
% 0.59/0.76 % (19575)Instructions burned: 34 (million)
% 0.59/0.76 % (19575)------------------------------
% 0.59/0.76 % (19575)------------------------------
% 0.59/0.77 % (19583)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 (2996ds/52Mi)
% 0.59/0.77 % (19584)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 (2996ds/518Mi)
% 0.59/0.77 % (19584)Refutation not found, incomplete strategy% (19584)------------------------------
% 0.59/0.77 % (19584)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (19584)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77
% 0.59/0.77 % (19584)Memory used [KB]: 1044
% 0.59/0.77 % (19584)Time elapsed: 0.005 s
% 0.59/0.77 % (19584)Instructions burned: 4 (million)
% 0.59/0.77 % (19584)------------------------------
% 0.59/0.77 % (19584)------------------------------
% 0.59/0.77 % (19580)Instruction limit reached!
% 0.59/0.77 % (19580)------------------------------
% 0.59/0.77 % (19580)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (19580)Termination reason: Unknown
% 0.59/0.77 % (19580)Termination phase: Saturation
% 0.59/0.77
% 0.59/0.77 % (19580)Memory used [KB]: 1606
% 0.59/0.77 % (19580)Time elapsed: 0.019 s
% 0.59/0.77 % (19580)Instructions burned: 56 (million)
% 0.59/0.77 % (19580)------------------------------
% 0.59/0.77 % (19580)------------------------------
% 0.59/0.77 % (19573)Instruction limit reached!
% 0.59/0.77 % (19573)------------------------------
% 0.59/0.77 % (19573)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (19573)Termination reason: Unknown
% 0.59/0.77 % (19573)Termination phase: Saturation
% 0.59/0.77
% 0.59/0.77 % (19573)Memory used [KB]: 1373
% 0.59/0.77 % (19573)Time elapsed: 0.032 s
% 0.59/0.77 % (19573)Instructions burned: 51 (million)
% 0.59/0.77 % (19573)------------------------------
% 0.59/0.77 % (19573)------------------------------
% 0.59/0.78 % (19581)Instruction limit reached!
% 0.59/0.78 % (19581)------------------------------
% 0.59/0.78 % (19581)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (19581)Termination reason: Unknown
% 0.59/0.78 % (19581)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (19581)Memory used [KB]: 1273
% 0.59/0.78 % (19581)Time elapsed: 0.027 s
% 0.59/0.78 % (19581)Instructions burned: 51 (million)
% 0.59/0.78 % (19581)------------------------------
% 0.59/0.78 % (19581)------------------------------
% 0.59/0.78 % (19585)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 (2996ds/42Mi)
% 0.59/0.78 % (19586)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 (2996ds/243Mi)
% 0.59/0.78 % (19587)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 (2996ds/117Mi)
% 0.59/0.78 % (19585)Refutation not found, incomplete strategy% (19585)------------------------------
% 0.59/0.78 % (19585)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (19585)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78
% 0.59/0.78 % (19585)Memory used [KB]: 1044
% 0.59/0.78 % (19585)Time elapsed: 0.003 s
% 0.59/0.78 % (19585)Instructions burned: 3 (million)
% 0.59/0.78 % (19585)------------------------------
% 0.59/0.78 % (19585)------------------------------
% 0.59/0.78 % (19588)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.59/0.78 % (19589)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.59/0.79 % (19574)Instruction limit reached!
% 0.59/0.79 % (19574)------------------------------
% 0.59/0.79 % (19574)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79 % (19574)Termination reason: Unknown
% 0.59/0.79 % (19574)Termination phase: Saturation
% 0.59/0.79
% 0.59/0.79 % (19574)Memory used [KB]: 1572
% 0.59/0.79 % (19574)Time elapsed: 0.049 s
% 0.59/0.79 % (19582)First to succeed.
% 0.59/0.79 % (19574)Instructions burned: 79 (million)
% 0.59/0.79 % (19574)------------------------------
% 0.59/0.79 % (19574)------------------------------
% 0.59/0.79 % (19582)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19568"
% 0.59/0.79 % (19578)Instruction limit reached!
% 0.59/0.79 % (19578)------------------------------
% 0.59/0.79 % (19578)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79 % (19578)Termination reason: Unknown
% 0.59/0.79 % (19578)Termination phase: Saturation
% 0.59/0.79
% 0.59/0.79 % (19578)Memory used [KB]: 1734
% 0.59/0.79 % (19578)Time elapsed: 0.052 s
% 0.59/0.79 % (19578)Instructions burned: 83 (million)
% 0.59/0.79 % (19578)------------------------------
% 0.59/0.79 % (19578)------------------------------
% 0.59/0.80 % (19582)Refutation found. Thanks to Tanya!
% 0.59/0.80 % SZS status Theorem for Vampire---4
% 0.59/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.80 % (19582)------------------------------
% 0.59/0.80 % (19582)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80 % (19582)Termination reason: Refutation
% 0.59/0.80
% 0.59/0.80 % (19582)Memory used [KB]: 1514
% 0.59/0.80 % (19582)Time elapsed: 0.045 s
% 0.59/0.80 % (19582)Instructions burned: 78 (million)
% 0.59/0.80 % (19568)Success in time 0.414 s
% 0.59/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------