TSTP Solution File: SEU277+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU277+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n014.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 09:21:47 EDT 2024
% Result : Theorem 0.62s 0.76s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 23
% Syntax : Number of formulae : 100 ( 7 unt; 0 def)
% Number of atoms : 556 ( 132 equ)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 682 ( 226 ~; 248 |; 171 &)
% ( 18 <=>; 17 =>; 0 <=; 2 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 12 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 3 con; 0-4 aty)
% Number of variables : 332 ( 180 !; 152 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f284,plain,
$false,
inference(avatar_sat_refutation,[],[f193,f195,f197,f205,f235,f240,f245,f247,f258,f277,f279,f283]) ).
fof(f283,plain,
( ~ spl26_5
| spl26_12 ),
inference(avatar_contradiction_clause,[],[f280]) ).
fof(f280,plain,
( $false
| ~ spl26_5
| spl26_12 ),
inference(resolution,[],[f253,f214]) ).
fof(f214,plain,
( in(sK4(sK22(sK1,sK2,sK3)),sK22(sK1,sK2,sK3))
| ~ spl26_5 ),
inference(factoring,[],[f209]) ).
fof(f209,plain,
( ! [X0] :
( in(sK4(X0),sK22(sK1,sK2,sK3))
| in(sK4(X0),X0) )
| ~ spl26_5 ),
inference(duplicate_literal_removal,[],[f206]) ).
fof(f206,plain,
( ! [X0] :
( in(sK4(X0),X0)
| in(sK4(X0),sK22(sK1,sK2,sK3))
| in(sK4(X0),X0) )
| ~ spl26_5 ),
inference(resolution,[],[f192,f78]) ).
fof(f78,plain,
! [X3] :
( in(sK4(X3),cartesian_product2(sK1,sK1))
| in(sK4(X3),X3) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ! [X3] :
( ( ! [X5,X6] :
( ~ in(ordered_pair(apply(sK3,X5),apply(sK3,X6)),sK2)
| ordered_pair(X5,X6) != sK4(X3) )
| ~ in(sK4(X3),cartesian_product2(sK1,sK1))
| ~ in(sK4(X3),X3) )
& ( ( in(ordered_pair(apply(sK3,sK5(X3)),apply(sK3,sK6(X3))),sK2)
& sK4(X3) = ordered_pair(sK5(X3),sK6(X3))
& in(sK4(X3),cartesian_product2(sK1,sK1)) )
| in(sK4(X3),X3) ) )
& function(sK3)
& relation(sK3)
& relation(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6])],[f42,f45,f44,f43]) ).
fof(f43,plain,
( ? [X0,X1,X2] :
( ! [X3] :
? [X4] :
( ( ! [X5,X6] :
( ~ in(ordered_pair(apply(X2,X5),apply(X2,X6)),X1)
| ordered_pair(X5,X6) != X4 )
| ~ in(X4,cartesian_product2(X0,X0))
| ~ in(X4,X3) )
& ( ( ? [X7,X8] :
( in(ordered_pair(apply(X2,X7),apply(X2,X8)),X1)
& ordered_pair(X7,X8) = X4 )
& in(X4,cartesian_product2(X0,X0)) )
| in(X4,X3) ) )
& function(X2)
& relation(X2)
& relation(X1) )
=> ( ! [X3] :
? [X4] :
( ( ! [X6,X5] :
( ~ in(ordered_pair(apply(sK3,X5),apply(sK3,X6)),sK2)
| ordered_pair(X5,X6) != X4 )
| ~ in(X4,cartesian_product2(sK1,sK1))
| ~ in(X4,X3) )
& ( ( ? [X8,X7] :
( in(ordered_pair(apply(sK3,X7),apply(sK3,X8)),sK2)
& ordered_pair(X7,X8) = X4 )
& in(X4,cartesian_product2(sK1,sK1)) )
| in(X4,X3) ) )
& function(sK3)
& relation(sK3)
& relation(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X3] :
( ? [X4] :
( ( ! [X6,X5] :
( ~ in(ordered_pair(apply(sK3,X5),apply(sK3,X6)),sK2)
| ordered_pair(X5,X6) != X4 )
| ~ in(X4,cartesian_product2(sK1,sK1))
| ~ in(X4,X3) )
& ( ( ? [X8,X7] :
( in(ordered_pair(apply(sK3,X7),apply(sK3,X8)),sK2)
& ordered_pair(X7,X8) = X4 )
& in(X4,cartesian_product2(sK1,sK1)) )
| in(X4,X3) ) )
=> ( ( ! [X6,X5] :
( ~ in(ordered_pair(apply(sK3,X5),apply(sK3,X6)),sK2)
| ordered_pair(X5,X6) != sK4(X3) )
| ~ in(sK4(X3),cartesian_product2(sK1,sK1))
| ~ in(sK4(X3),X3) )
& ( ( ? [X8,X7] :
( in(ordered_pair(apply(sK3,X7),apply(sK3,X8)),sK2)
& ordered_pair(X7,X8) = sK4(X3) )
& in(sK4(X3),cartesian_product2(sK1,sK1)) )
| in(sK4(X3),X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X3] :
( ? [X8,X7] :
( in(ordered_pair(apply(sK3,X7),apply(sK3,X8)),sK2)
& ordered_pair(X7,X8) = sK4(X3) )
=> ( in(ordered_pair(apply(sK3,sK5(X3)),apply(sK3,sK6(X3))),sK2)
& sK4(X3) = ordered_pair(sK5(X3),sK6(X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
? [X0,X1,X2] :
( ! [X3] :
? [X4] :
( ( ! [X5,X6] :
( ~ in(ordered_pair(apply(X2,X5),apply(X2,X6)),X1)
| ordered_pair(X5,X6) != X4 )
| ~ in(X4,cartesian_product2(X0,X0))
| ~ in(X4,X3) )
& ( ( ? [X7,X8] :
( in(ordered_pair(apply(X2,X7),apply(X2,X8)),X1)
& ordered_pair(X7,X8) = X4 )
& in(X4,cartesian_product2(X0,X0)) )
| in(X4,X3) ) )
& function(X2)
& relation(X2)
& relation(X1) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
? [X0,X1,X2] :
( ! [X3] :
? [X4] :
( ( ! [X5,X6] :
( ~ in(ordered_pair(apply(X2,X5),apply(X2,X6)),X1)
| ordered_pair(X5,X6) != X4 )
| ~ in(X4,cartesian_product2(X0,X0))
| ~ in(X4,X3) )
& ( ( ? [X5,X6] :
( in(ordered_pair(apply(X2,X5),apply(X2,X6)),X1)
& ordered_pair(X5,X6) = X4 )
& in(X4,cartesian_product2(X0,X0)) )
| in(X4,X3) ) )
& function(X2)
& relation(X2)
& relation(X1) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
? [X0,X1,X2] :
( ! [X3] :
? [X4] :
( ( ! [X5,X6] :
( ~ in(ordered_pair(apply(X2,X5),apply(X2,X6)),X1)
| ordered_pair(X5,X6) != X4 )
| ~ in(X4,cartesian_product2(X0,X0))
| ~ in(X4,X3) )
& ( ( ? [X5,X6] :
( in(ordered_pair(apply(X2,X5),apply(X2,X6)),X1)
& ordered_pair(X5,X6) = X4 )
& in(X4,cartesian_product2(X0,X0)) )
| in(X4,X3) ) )
& function(X2)
& relation(X2)
& relation(X1) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
? [X0,X1,X2] :
( ! [X3] :
? [X4] :
( in(X4,X3)
<~> ( ? [X5,X6] :
( in(ordered_pair(apply(X2,X5),apply(X2,X6)),X1)
& ordered_pair(X5,X6) = X4 )
& in(X4,cartesian_product2(X0,X0)) ) )
& function(X2)
& relation(X2)
& relation(X1) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
? [X0,X1,X2] :
( ! [X3] :
? [X4] :
( in(X4,X3)
<~> ( ? [X5,X6] :
( in(ordered_pair(apply(X2,X5),apply(X2,X6)),X1)
& ordered_pair(X5,X6) = X4 )
& in(X4,cartesian_product2(X0,X0)) ) )
& function(X2)
& relation(X2)
& relation(X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( ( function(X2)
& relation(X2)
& relation(X1) )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( ? [X5,X6] :
( in(ordered_pair(apply(X2,X5),apply(X2,X6)),X1)
& ordered_pair(X5,X6) = X4 )
& in(X4,cartesian_product2(X0,X0)) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2)
& relation(X1) )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( ? [X5,X6] :
( in(ordered_pair(apply(X2,X5),apply(X2,X6)),X1)
& ordered_pair(X5,X6) = X4 )
& in(X4,cartesian_product2(X0,X0)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Vz5bMN16tB/Vampire---4.8_21497',s1_xboole_0__e6_21__wellord2__1) ).
fof(f192,plain,
( ! [X0,X1] :
( ~ in(sK4(X0),cartesian_product2(X1,X1))
| in(sK4(X0),X0)
| in(sK4(X0),sK22(X1,sK2,sK3)) )
| ~ spl26_5 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f191,plain,
( spl26_5
<=> ! [X0,X1] :
( ~ in(sK4(X0),cartesian_product2(X1,X1))
| in(sK4(X0),X0)
| in(sK4(X0),sK22(X1,sK2,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_5])]) ).
fof(f253,plain,
( ~ in(sK4(sK22(sK1,sK2,sK3)),sK22(sK1,sK2,sK3))
| spl26_12 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f251,plain,
( spl26_12
<=> in(sK4(sK22(sK1,sK2,sK3)),sK22(sK1,sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_12])]) ).
fof(f279,plain,
( ~ spl26_13
| ~ spl26_12
| ~ spl26_14 ),
inference(avatar_split_clause,[],[f278,f275,f251,f255]) ).
fof(f255,plain,
( spl26_13
<=> in(sK4(sK22(sK1,sK2,sK3)),cartesian_product2(sK1,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_13])]) ).
fof(f275,plain,
( spl26_14
<=> ! [X0] :
( sK4(X0) != sK4(sK22(sK1,sK2,sK3))
| ~ in(sK4(X0),X0)
| ~ in(sK4(X0),cartesian_product2(sK1,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_14])]) ).
fof(f278,plain,
( ~ in(sK4(sK22(sK1,sK2,sK3)),sK22(sK1,sK2,sK3))
| ~ in(sK4(sK22(sK1,sK2,sK3)),cartesian_product2(sK1,sK1))
| ~ spl26_14 ),
inference(equality_resolution,[],[f276]) ).
fof(f276,plain,
( ! [X0] :
( sK4(X0) != sK4(sK22(sK1,sK2,sK3))
| ~ in(sK4(X0),X0)
| ~ in(sK4(X0),cartesian_product2(sK1,sK1)) )
| ~ spl26_14 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f277,plain,
( ~ spl26_9
| spl26_14
| ~ spl26_10 ),
inference(avatar_split_clause,[],[f273,f237,f275,f232]) ).
fof(f232,plain,
( spl26_9
<=> in(ordered_pair(apply(sK3,sK24(sK2,sK3,sK4(sK22(sK1,sK2,sK3)))),apply(sK3,sK25(sK2,sK3,sK4(sK22(sK1,sK2,sK3))))),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_9])]) ).
fof(f237,plain,
( spl26_10
<=> sK4(sK22(sK1,sK2,sK3)) = ordered_pair(sK24(sK2,sK3,sK4(sK22(sK1,sK2,sK3))),sK25(sK2,sK3,sK4(sK22(sK1,sK2,sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_10])]) ).
fof(f273,plain,
( ! [X0] :
( sK4(X0) != sK4(sK22(sK1,sK2,sK3))
| ~ in(ordered_pair(apply(sK3,sK24(sK2,sK3,sK4(sK22(sK1,sK2,sK3)))),apply(sK3,sK25(sK2,sK3,sK4(sK22(sK1,sK2,sK3))))),sK2)
| ~ in(sK4(X0),cartesian_product2(sK1,sK1))
| ~ in(sK4(X0),X0) )
| ~ spl26_10 ),
inference(superposition,[],[f81,f239]) ).
fof(f239,plain,
( sK4(sK22(sK1,sK2,sK3)) = ordered_pair(sK24(sK2,sK3,sK4(sK22(sK1,sK2,sK3))),sK25(sK2,sK3,sK4(sK22(sK1,sK2,sK3))))
| ~ spl26_10 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f81,plain,
! [X3,X6,X5] :
( ordered_pair(X5,X6) != sK4(X3)
| ~ in(ordered_pair(apply(sK3,X5),apply(sK3,X6)),sK2)
| ~ in(sK4(X3),cartesian_product2(sK1,sK1))
| ~ in(sK4(X3),X3) ),
inference(cnf_transformation,[],[f46]) ).
fof(f258,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| spl26_4
| ~ spl26_12
| spl26_13
| ~ spl26_11 ),
inference(avatar_split_clause,[],[f249,f242,f255,f251,f187,f183,f179,f175]) ).
fof(f175,plain,
( spl26_1
<=> relation(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_1])]) ).
fof(f179,plain,
( spl26_2
<=> relation(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2])]) ).
fof(f183,plain,
( spl26_3
<=> function(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_3])]) ).
fof(f187,plain,
( spl26_4
<=> sP0(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_4])]) ).
fof(f242,plain,
( spl26_11
<=> in(sK23(sK1,sK2,sK3,sK4(sK22(sK1,sK2,sK3))),cartesian_product2(sK1,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_11])]) ).
fof(f249,plain,
( in(sK4(sK22(sK1,sK2,sK3)),cartesian_product2(sK1,sK1))
| ~ in(sK4(sK22(sK1,sK2,sK3)),sK22(sK1,sK2,sK3))
| sP0(sK2,sK3)
| ~ function(sK3)
| ~ relation(sK3)
| ~ relation(sK2)
| ~ spl26_11 ),
inference(superposition,[],[f244,f123]) ).
fof(f123,plain,
! [X2,X0,X1,X4] :
( sK23(X0,X1,X2,X4) = X4
| ~ in(X4,sK22(X0,X1,X2))
| sP0(X1,X2)
| ~ function(X2)
| ~ relation(X2)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ! [X4] :
( ( in(X4,sK22(X0,X1,X2))
| ! [X5] :
( ! [X6,X7] :
( ~ in(ordered_pair(apply(X2,X6),apply(X2,X7)),X1)
| ordered_pair(X6,X7) != X4 )
| X4 != X5
| ~ in(X5,cartesian_product2(X0,X0)) ) )
& ( ( in(ordered_pair(apply(X2,sK24(X1,X2,X4)),apply(X2,sK25(X1,X2,X4))),X1)
& ordered_pair(sK24(X1,X2,X4),sK25(X1,X2,X4)) = X4
& sK23(X0,X1,X2,X4) = X4
& in(sK23(X0,X1,X2,X4),cartesian_product2(X0,X0)) )
| ~ in(X4,sK22(X0,X1,X2)) ) )
| sP0(X1,X2)
| ~ function(X2)
| ~ relation(X2)
| ~ relation(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23,sK24,sK25])],[f70,f73,f72,f71]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ? [X3] :
! [X4] :
( ( in(X4,X3)
| ! [X5] :
( ! [X6,X7] :
( ~ in(ordered_pair(apply(X2,X6),apply(X2,X7)),X1)
| ordered_pair(X6,X7) != X4 )
| X4 != X5
| ~ in(X5,cartesian_product2(X0,X0)) ) )
& ( ? [X8] :
( ? [X9,X10] :
( in(ordered_pair(apply(X2,X9),apply(X2,X10)),X1)
& ordered_pair(X9,X10) = X4 )
& X4 = X8
& in(X8,cartesian_product2(X0,X0)) )
| ~ in(X4,X3) ) )
=> ! [X4] :
( ( in(X4,sK22(X0,X1,X2))
| ! [X5] :
( ! [X6,X7] :
( ~ in(ordered_pair(apply(X2,X6),apply(X2,X7)),X1)
| ordered_pair(X6,X7) != X4 )
| X4 != X5
| ~ in(X5,cartesian_product2(X0,X0)) ) )
& ( ? [X8] :
( ? [X9,X10] :
( in(ordered_pair(apply(X2,X9),apply(X2,X10)),X1)
& ordered_pair(X9,X10) = X4 )
& X4 = X8
& in(X8,cartesian_product2(X0,X0)) )
| ~ in(X4,sK22(X0,X1,X2)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0,X1,X2,X4] :
( ? [X8] :
( ? [X9,X10] :
( in(ordered_pair(apply(X2,X9),apply(X2,X10)),X1)
& ordered_pair(X9,X10) = X4 )
& X4 = X8
& in(X8,cartesian_product2(X0,X0)) )
=> ( ? [X9,X10] :
( in(ordered_pair(apply(X2,X9),apply(X2,X10)),X1)
& ordered_pair(X9,X10) = X4 )
& sK23(X0,X1,X2,X4) = X4
& in(sK23(X0,X1,X2,X4),cartesian_product2(X0,X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X1,X2,X4] :
( ? [X9,X10] :
( in(ordered_pair(apply(X2,X9),apply(X2,X10)),X1)
& ordered_pair(X9,X10) = X4 )
=> ( in(ordered_pair(apply(X2,sK24(X1,X2,X4)),apply(X2,sK25(X1,X2,X4))),X1)
& ordered_pair(sK24(X1,X2,X4),sK25(X1,X2,X4)) = X4 ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ? [X3] :
! [X4] :
( ( in(X4,X3)
| ! [X5] :
( ! [X6,X7] :
( ~ in(ordered_pair(apply(X2,X6),apply(X2,X7)),X1)
| ordered_pair(X6,X7) != X4 )
| X4 != X5
| ~ in(X5,cartesian_product2(X0,X0)) ) )
& ( ? [X8] :
( ? [X9,X10] :
( in(ordered_pair(apply(X2,X9),apply(X2,X10)),X1)
& ordered_pair(X9,X10) = X4 )
& X4 = X8
& in(X8,cartesian_product2(X0,X0)) )
| ~ in(X4,X3) ) )
| sP0(X1,X2)
| ~ function(X2)
| ~ relation(X2)
| ~ relation(X1) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ? [X10] :
! [X11] :
( ( in(X11,X10)
| ! [X12] :
( ! [X13,X14] :
( ~ in(ordered_pair(apply(X2,X13),apply(X2,X14)),X1)
| ordered_pair(X13,X14) != X11 )
| X11 != X12
| ~ in(X12,cartesian_product2(X0,X0)) ) )
& ( ? [X12] :
( ? [X13,X14] :
( in(ordered_pair(apply(X2,X13),apply(X2,X14)),X1)
& ordered_pair(X13,X14) = X11 )
& X11 = X12
& in(X12,cartesian_product2(X0,X0)) )
| ~ in(X11,X10) ) )
| sP0(X1,X2)
| ~ function(X2)
| ~ relation(X2)
| ~ relation(X1) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ? [X10] :
! [X11] :
( in(X11,X10)
<=> ? [X12] :
( ? [X13,X14] :
( in(ordered_pair(apply(X2,X13),apply(X2,X14)),X1)
& ordered_pair(X13,X14) = X11 )
& X11 = X12
& in(X12,cartesian_product2(X0,X0)) ) )
| sP0(X1,X2)
| ~ function(X2)
| ~ relation(X2)
| ~ relation(X1) ),
inference(definition_folding,[],[f37,f38]) ).
fof(f38,plain,
! [X1,X2] :
( ? [X3,X4,X5] :
( X4 != X5
& ? [X6,X7] :
( in(ordered_pair(apply(X2,X6),apply(X2,X7)),X1)
& ordered_pair(X6,X7) = X5 )
& X3 = X5
& ? [X8,X9] :
( in(ordered_pair(apply(X2,X8),apply(X2,X9)),X1)
& ordered_pair(X8,X9) = X4 )
& X3 = X4 )
| ~ sP0(X1,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ? [X10] :
! [X11] :
( in(X11,X10)
<=> ? [X12] :
( ? [X13,X14] :
( in(ordered_pair(apply(X2,X13),apply(X2,X14)),X1)
& ordered_pair(X13,X14) = X11 )
& X11 = X12
& in(X12,cartesian_product2(X0,X0)) ) )
| ? [X3,X4,X5] :
( X4 != X5
& ? [X6,X7] :
( in(ordered_pair(apply(X2,X6),apply(X2,X7)),X1)
& ordered_pair(X6,X7) = X5 )
& X3 = X5
& ? [X8,X9] :
( in(ordered_pair(apply(X2,X8),apply(X2,X9)),X1)
& ordered_pair(X8,X9) = X4 )
& X3 = X4 )
| ~ function(X2)
| ~ relation(X2)
| ~ relation(X1) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ? [X10] :
! [X11] :
( in(X11,X10)
<=> ? [X12] :
( ? [X13,X14] :
( in(ordered_pair(apply(X2,X13),apply(X2,X14)),X1)
& ordered_pair(X13,X14) = X11 )
& X11 = X12
& in(X12,cartesian_product2(X0,X0)) ) )
| ? [X3,X4,X5] :
( X4 != X5
& ? [X6,X7] :
( in(ordered_pair(apply(X2,X6),apply(X2,X7)),X1)
& ordered_pair(X6,X7) = X5 )
& X3 = X5
& ? [X8,X9] :
( in(ordered_pair(apply(X2,X8),apply(X2,X9)),X1)
& ordered_pair(X8,X9) = X4 )
& X3 = X4 )
| ~ function(X2)
| ~ relation(X2)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2)
& relation(X1) )
=> ( ! [X3,X4,X5] :
( ( ? [X6,X7] :
( in(ordered_pair(apply(X2,X6),apply(X2,X7)),X1)
& ordered_pair(X6,X7) = X5 )
& X3 = X5
& ? [X8,X9] :
( in(ordered_pair(apply(X2,X8),apply(X2,X9)),X1)
& ordered_pair(X8,X9) = X4 )
& X3 = X4 )
=> X4 = X5 )
=> ? [X10] :
! [X11] :
( in(X11,X10)
<=> ? [X12] :
( ? [X13,X14] :
( in(ordered_pair(apply(X2,X13),apply(X2,X14)),X1)
& ordered_pair(X13,X14) = X11 )
& X11 = X12
& in(X12,cartesian_product2(X0,X0)) ) ) ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2)
& relation(X1) )
=> ( ! [X3,X4,X5] :
( ( ? [X8,X9] :
( in(ordered_pair(apply(X2,X8),apply(X2,X9)),X1)
& ordered_pair(X8,X9) = X5 )
& X3 = X5
& ? [X6,X7] :
( in(ordered_pair(apply(X2,X6),apply(X2,X7)),X1)
& ordered_pair(X6,X7) = X4 )
& X3 = X4 )
=> X4 = X5 )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ? [X5] :
( ? [X10,X11] :
( in(ordered_pair(apply(X2,X10),apply(X2,X11)),X1)
& ordered_pair(X10,X11) = X4 )
& X4 = X5
& in(X5,cartesian_product2(X0,X0)) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Vz5bMN16tB/Vampire---4.8_21497',s1_tarski__e6_21__wellord2__1) ).
fof(f244,plain,
( in(sK23(sK1,sK2,sK3,sK4(sK22(sK1,sK2,sK3))),cartesian_product2(sK1,sK1))
| ~ spl26_11 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f247,plain,
spl26_1,
inference(avatar_contradiction_clause,[],[f246]) ).
fof(f246,plain,
( $false
| spl26_1 ),
inference(resolution,[],[f177,f75]) ).
fof(f75,plain,
relation(sK2),
inference(cnf_transformation,[],[f46]) ).
fof(f177,plain,
( ~ relation(sK2)
| spl26_1 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f245,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| spl26_4
| spl26_11
| ~ spl26_5 ),
inference(avatar_split_clause,[],[f229,f191,f242,f187,f183,f179,f175]) ).
fof(f229,plain,
( in(sK23(sK1,sK2,sK3,sK4(sK22(sK1,sK2,sK3))),cartesian_product2(sK1,sK1))
| sP0(sK2,sK3)
| ~ function(sK3)
| ~ relation(sK3)
| ~ relation(sK2)
| ~ spl26_5 ),
inference(resolution,[],[f214,f122]) ).
fof(f122,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK22(X0,X1,X2))
| in(sK23(X0,X1,X2,X4),cartesian_product2(X0,X0))
| sP0(X1,X2)
| ~ function(X2)
| ~ relation(X2)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f240,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| spl26_4
| spl26_10
| ~ spl26_5 ),
inference(avatar_split_clause,[],[f228,f191,f237,f187,f183,f179,f175]) ).
fof(f228,plain,
( sK4(sK22(sK1,sK2,sK3)) = ordered_pair(sK24(sK2,sK3,sK4(sK22(sK1,sK2,sK3))),sK25(sK2,sK3,sK4(sK22(sK1,sK2,sK3))))
| sP0(sK2,sK3)
| ~ function(sK3)
| ~ relation(sK3)
| ~ relation(sK2)
| ~ spl26_5 ),
inference(resolution,[],[f214,f124]) ).
fof(f124,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK22(X0,X1,X2))
| ordered_pair(sK24(X1,X2,X4),sK25(X1,X2,X4)) = X4
| sP0(X1,X2)
| ~ function(X2)
| ~ relation(X2)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f235,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| spl26_4
| spl26_9
| ~ spl26_5 ),
inference(avatar_split_clause,[],[f227,f191,f232,f187,f183,f179,f175]) ).
fof(f227,plain,
( in(ordered_pair(apply(sK3,sK24(sK2,sK3,sK4(sK22(sK1,sK2,sK3)))),apply(sK3,sK25(sK2,sK3,sK4(sK22(sK1,sK2,sK3))))),sK2)
| sP0(sK2,sK3)
| ~ function(sK3)
| ~ relation(sK3)
| ~ relation(sK2)
| ~ spl26_5 ),
inference(resolution,[],[f214,f125]) ).
fof(f125,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK22(X0,X1,X2))
| in(ordered_pair(apply(X2,sK24(X1,X2,X4)),apply(X2,sK25(X1,X2,X4))),X1)
| sP0(X1,X2)
| ~ function(X2)
| ~ relation(X2)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f205,plain,
( ~ spl26_4
| ~ spl26_4 ),
inference(avatar_split_clause,[],[f204,f187,f187]) ).
fof(f204,plain,
( ~ sP0(sK2,sK3)
| ~ spl26_4 ),
inference(trivial_inequality_removal,[],[f203]) ).
fof(f203,plain,
( sK16(sK2,sK3) != sK16(sK2,sK3)
| ~ sP0(sK2,sK3)
| ~ spl26_4 ),
inference(superposition,[],[f121,f202]) ).
fof(f202,plain,
( sK17(sK2,sK3) = sK16(sK2,sK3)
| ~ spl26_4 ),
inference(resolution,[],[f189,f167]) ).
fof(f167,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| sK16(X0,X1) = sK17(X0,X1) ),
inference(duplicate_literal_removal,[],[f164]) ).
fof(f164,plain,
! [X0,X1] :
( sK16(X0,X1) = sK17(X0,X1)
| ~ sP0(X0,X1)
| ~ sP0(X0,X1) ),
inference(superposition,[],[f118,f115]) ).
fof(f115,plain,
! [X0,X1] :
( sK15(X0,X1) = sK16(X0,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ( sK16(X0,X1) != sK17(X0,X1)
& in(ordered_pair(apply(X1,sK18(X0,X1)),apply(X1,sK19(X0,X1))),X0)
& sK17(X0,X1) = ordered_pair(sK18(X0,X1),sK19(X0,X1))
& sK15(X0,X1) = sK17(X0,X1)
& in(ordered_pair(apply(X1,sK20(X0,X1)),apply(X1,sK21(X0,X1))),X0)
& sK16(X0,X1) = ordered_pair(sK20(X0,X1),sK21(X0,X1))
& sK15(X0,X1) = sK16(X0,X1) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18,sK19,sK20,sK21])],[f64,f67,f66,f65]) ).
fof(f65,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( X3 != X4
& ? [X5,X6] :
( in(ordered_pair(apply(X1,X5),apply(X1,X6)),X0)
& ordered_pair(X5,X6) = X4 )
& X2 = X4
& ? [X7,X8] :
( in(ordered_pair(apply(X1,X7),apply(X1,X8)),X0)
& ordered_pair(X7,X8) = X3 )
& X2 = X3 )
=> ( sK16(X0,X1) != sK17(X0,X1)
& ? [X6,X5] :
( in(ordered_pair(apply(X1,X5),apply(X1,X6)),X0)
& ordered_pair(X5,X6) = sK17(X0,X1) )
& sK15(X0,X1) = sK17(X0,X1)
& ? [X8,X7] :
( in(ordered_pair(apply(X1,X7),apply(X1,X8)),X0)
& ordered_pair(X7,X8) = sK16(X0,X1) )
& sK15(X0,X1) = sK16(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X0,X1] :
( ? [X6,X5] :
( in(ordered_pair(apply(X1,X5),apply(X1,X6)),X0)
& ordered_pair(X5,X6) = sK17(X0,X1) )
=> ( in(ordered_pair(apply(X1,sK18(X0,X1)),apply(X1,sK19(X0,X1))),X0)
& sK17(X0,X1) = ordered_pair(sK18(X0,X1),sK19(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X0,X1] :
( ? [X8,X7] :
( in(ordered_pair(apply(X1,X7),apply(X1,X8)),X0)
& ordered_pair(X7,X8) = sK16(X0,X1) )
=> ( in(ordered_pair(apply(X1,sK20(X0,X1)),apply(X1,sK21(X0,X1))),X0)
& sK16(X0,X1) = ordered_pair(sK20(X0,X1),sK21(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( X3 != X4
& ? [X5,X6] :
( in(ordered_pair(apply(X1,X5),apply(X1,X6)),X0)
& ordered_pair(X5,X6) = X4 )
& X2 = X4
& ? [X7,X8] :
( in(ordered_pair(apply(X1,X7),apply(X1,X8)),X0)
& ordered_pair(X7,X8) = X3 )
& X2 = X3 )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
! [X1,X2] :
( ? [X3,X4,X5] :
( X4 != X5
& ? [X6,X7] :
( in(ordered_pair(apply(X2,X6),apply(X2,X7)),X1)
& ordered_pair(X6,X7) = X5 )
& X3 = X5
& ? [X8,X9] :
( in(ordered_pair(apply(X2,X8),apply(X2,X9)),X1)
& ordered_pair(X8,X9) = X4 )
& X3 = X4 )
| ~ sP0(X1,X2) ),
inference(nnf_transformation,[],[f38]) ).
fof(f118,plain,
! [X0,X1] :
( sK15(X0,X1) = sK17(X0,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f189,plain,
( sP0(sK2,sK3)
| ~ spl26_4 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f121,plain,
! [X0,X1] :
( sK16(X0,X1) != sK17(X0,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f197,plain,
spl26_3,
inference(avatar_contradiction_clause,[],[f196]) ).
fof(f196,plain,
( $false
| spl26_3 ),
inference(resolution,[],[f185,f77]) ).
fof(f77,plain,
function(sK3),
inference(cnf_transformation,[],[f46]) ).
fof(f185,plain,
( ~ function(sK3)
| spl26_3 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f195,plain,
spl26_2,
inference(avatar_contradiction_clause,[],[f194]) ).
fof(f194,plain,
( $false
| spl26_2 ),
inference(resolution,[],[f181,f76]) ).
fof(f76,plain,
relation(sK3),
inference(cnf_transformation,[],[f46]) ).
fof(f181,plain,
( ~ relation(sK3)
| spl26_2 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f193,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| spl26_4
| spl26_5 ),
inference(avatar_split_clause,[],[f173,f191,f187,f183,f179,f175]) ).
fof(f173,plain,
! [X0,X1] :
( ~ in(sK4(X0),cartesian_product2(X1,X1))
| in(sK4(X0),sK22(X1,sK2,sK3))
| sP0(sK2,sK3)
| ~ function(sK3)
| ~ relation(sK3)
| ~ relation(sK2)
| in(sK4(X0),X0) ),
inference(duplicate_literal_removal,[],[f172]) ).
fof(f172,plain,
! [X0,X1] :
( ~ in(sK4(X0),cartesian_product2(X1,X1))
| in(sK4(X0),sK22(X1,sK2,sK3))
| sP0(sK2,sK3)
| ~ function(sK3)
| ~ relation(sK3)
| ~ relation(sK2)
| in(sK4(X0),X0)
| in(sK4(X0),X0) ),
inference(resolution,[],[f171,f80]) ).
fof(f80,plain,
! [X3] :
( in(ordered_pair(apply(sK3,sK5(X3)),apply(sK3,sK6(X3))),sK2)
| in(sK4(X3),X3) ),
inference(cnf_transformation,[],[f46]) ).
fof(f171,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(apply(X2,sK5(X0)),apply(X2,sK6(X0))),X3)
| ~ in(sK4(X0),cartesian_product2(X1,X1))
| in(sK4(X0),sK22(X1,X3,X2))
| sP0(X3,X2)
| ~ function(X2)
| ~ relation(X2)
| ~ relation(X3)
| in(sK4(X0),X0) ),
inference(superposition,[],[f128,f79]) ).
fof(f79,plain,
! [X3] :
( sK4(X3) = ordered_pair(sK5(X3),sK6(X3))
| in(sK4(X3),X3) ),
inference(cnf_transformation,[],[f46]) ).
fof(f128,plain,
! [X2,X0,X1,X6,X7] :
( ~ in(ordered_pair(X6,X7),cartesian_product2(X0,X0))
| ~ in(ordered_pair(apply(X2,X6),apply(X2,X7)),X1)
| in(ordered_pair(X6,X7),sK22(X0,X1,X2))
| sP0(X1,X2)
| ~ function(X2)
| ~ relation(X2)
| ~ relation(X1) ),
inference(equality_resolution,[],[f127]) ).
fof(f127,plain,
! [X2,X0,X1,X6,X7,X5] :
( in(ordered_pair(X6,X7),sK22(X0,X1,X2))
| ~ in(ordered_pair(apply(X2,X6),apply(X2,X7)),X1)
| ordered_pair(X6,X7) != X5
| ~ in(X5,cartesian_product2(X0,X0))
| sP0(X1,X2)
| ~ function(X2)
| ~ relation(X2)
| ~ relation(X1) ),
inference(equality_resolution,[],[f126]) ).
fof(f126,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( in(X4,sK22(X0,X1,X2))
| ~ in(ordered_pair(apply(X2,X6),apply(X2,X7)),X1)
| ordered_pair(X6,X7) != X4
| X4 != X5
| ~ in(X5,cartesian_product2(X0,X0))
| sP0(X1,X2)
| ~ function(X2)
| ~ relation(X2)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU277+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.15 % 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
% 0.14/0.36 % Computer : n014.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 11:20:32 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 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.Vz5bMN16tB/Vampire---4.8_21497
% 0.55/0.75 % (21887)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)
% 0.55/0.75 % (21880)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)
% 0.55/0.75 % (21881)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)
% 0.55/0.75 % (21882)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75 % (21884)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)
% 0.55/0.75 % (21883)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)
% 0.55/0.75 % (21885)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)
% 0.55/0.75 % (21886)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)
% 0.55/0.75 % (21883)Refutation not found, incomplete strategy% (21883)------------------------------
% 0.55/0.75 % (21883)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (21883)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (21883)Memory used [KB]: 1051
% 0.55/0.75 % (21883)Time elapsed: 0.004 s
% 0.55/0.75 % (21883)Instructions burned: 5 (million)
% 0.55/0.75 % (21883)------------------------------
% 0.55/0.75 % (21883)------------------------------
% 0.55/0.75 % (21884)Refutation not found, incomplete strategy% (21884)------------------------------
% 0.55/0.75 % (21884)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (21884)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (21884)Memory used [KB]: 1089
% 0.55/0.75 % (21884)Time elapsed: 0.005 s
% 0.55/0.75 % (21884)Instructions burned: 6 (million)
% 0.55/0.75 % (21887)Refutation not found, incomplete strategy% (21887)------------------------------
% 0.55/0.75 % (21887)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (21887)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (21887)Memory used [KB]: 1195
% 0.55/0.75 % (21887)Time elapsed: 0.006 s
% 0.55/0.75 % (21887)Instructions burned: 14 (million)
% 0.55/0.75 % (21885)Refutation not found, incomplete strategy% (21885)------------------------------
% 0.55/0.75 % (21885)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (21885)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (21885)Memory used [KB]: 1062
% 0.55/0.75 % (21885)Time elapsed: 0.005 s
% 0.55/0.75 % (21885)Instructions burned: 6 (million)
% 0.55/0.75 % (21887)------------------------------
% 0.55/0.75 % (21887)------------------------------
% 0.55/0.75 % (21884)------------------------------
% 0.55/0.75 % (21884)------------------------------
% 0.55/0.75 % (21880)Refutation not found, incomplete strategy% (21880)------------------------------
% 0.55/0.75 % (21880)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (21880)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (21880)Memory used [KB]: 1074
% 0.55/0.76 % (21880)Time elapsed: 0.006 s
% 0.55/0.76 % (21880)Instructions burned: 7 (million)
% 0.55/0.76 % (21885)------------------------------
% 0.55/0.76 % (21885)------------------------------
% 0.55/0.76 % (21880)------------------------------
% 0.55/0.76 % (21880)------------------------------
% 0.55/0.76 % (21895)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)
% 0.55/0.76 % (21881)First to succeed.
% 0.55/0.76 % (21894)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)
% 0.55/0.76 % (21896)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)
% 0.55/0.76 % (21897)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)
% 0.62/0.76 % (21898)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)
% 0.62/0.76 % (21881)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21710"
% 0.62/0.76 % (21881)Refutation found. Thanks to Tanya!
% 0.62/0.76 % SZS status Theorem for Vampire---4
% 0.62/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.76 % (21881)------------------------------
% 0.62/0.76 % (21881)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76 % (21881)Termination reason: Refutation
% 0.62/0.76
% 0.62/0.76 % (21881)Memory used [KB]: 1185
% 0.62/0.76 % (21881)Time elapsed: 0.012 s
% 0.62/0.76 % (21881)Instructions burned: 16 (million)
% 0.62/0.76 % (21710)Success in time 0.388 s
% 0.62/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------