TSTP Solution File: SEU298+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU298+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:33:05 EDT 2022
% Result : Theorem 2.37s 0.67s
% Output : Refutation 2.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 26
% Syntax : Number of formulae : 113 ( 5 unt; 0 def)
% Number of atoms : 554 ( 148 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 657 ( 216 ~; 237 |; 162 &)
% ( 22 <=>; 18 =>; 0 <=; 2 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 15 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 2 con; 0-3 aty)
% Number of variables : 243 ( 139 !; 104 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f712,plain,
$false,
inference(avatar_sat_refutation,[],[f316,f325,f337,f341,f366,f394,f395,f399,f424,f428,f497,f562,f569,f570,f578,f579,f589,f701]) ).
fof(f701,plain,
( ~ spl29_14
| spl29_5
| ~ spl29_9
| ~ spl29_18
| spl29_31 ),
inference(avatar_split_clause,[],[f599,f559,f422,f351,f306,f373]) ).
fof(f373,plain,
( spl29_14
<=> in(sK23(sK17(sK21,sK20)),sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_14])]) ).
fof(f306,plain,
( spl29_5
<=> sP0(sK20,sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_5])]) ).
fof(f351,plain,
( spl29_9
<=> element(sK21,powerset(powerset(succ(sK20)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_9])]) ).
fof(f422,plain,
( spl29_18
<=> ! [X1] :
( sP0(sK20,X1)
| ~ element(X1,powerset(powerset(succ(sK20))))
| ~ in(sK23(sK17(sK21,sK20)),X1)
| in(sK22(sK17(sK21,sK20)),sK17(X1,sK20)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_18])]) ).
fof(f559,plain,
( spl29_31
<=> in(sK22(sK17(sK21,sK20)),sK17(sK21,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_31])]) ).
fof(f599,plain,
( ~ element(sK21,powerset(powerset(succ(sK20))))
| sP0(sK20,sK21)
| ~ in(sK23(sK17(sK21,sK20)),sK21)
| ~ spl29_18
| spl29_31 ),
inference(resolution,[],[f423,f561]) ).
fof(f561,plain,
( ~ in(sK22(sK17(sK21,sK20)),sK17(sK21,sK20))
| spl29_31 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f423,plain,
( ! [X1] :
( in(sK22(sK17(sK21,sK20)),sK17(X1,sK20))
| ~ element(X1,powerset(powerset(succ(sK20))))
| ~ in(sK23(sK17(sK21,sK20)),X1)
| sP0(sK20,X1) )
| ~ spl29_18 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f589,plain,
( spl29_12
| spl29_31 ),
inference(avatar_split_clause,[],[f587,f559,f363]) ).
fof(f363,plain,
( spl29_12
<=> in(sK22(sK17(sK21,sK20)),powerset(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_12])]) ).
fof(f587,plain,
( in(sK22(sK17(sK21,sK20)),powerset(sK20))
| spl29_31 ),
inference(resolution,[],[f561,f195]) ).
fof(f195,plain,
! [X2] :
( in(sK22(X2),powerset(sK20))
| in(sK22(X2),X2) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
( ordinal(sK20)
& ! [X2] :
( ( ~ in(sK22(X2),X2)
| ~ in(sK22(X2),powerset(sK20))
| ! [X4] :
( set_difference(X4,singleton(sK20)) != sK22(X2)
| ~ in(X4,sK21) ) )
& ( in(sK22(X2),X2)
| ( in(sK22(X2),powerset(sK20))
& set_difference(sK23(X2),singleton(sK20)) = sK22(X2)
& in(sK23(X2),sK21) ) ) )
& element(sK21,powerset(powerset(succ(sK20)))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23])],[f115,f118,f117,f116]) ).
fof(f116,plain,
( ? [X0,X1] :
( ordinal(X0)
& ! [X2] :
? [X3] :
( ( ~ in(X3,X2)
| ~ in(X3,powerset(X0))
| ! [X4] :
( set_difference(X4,singleton(X0)) != X3
| ~ in(X4,X1) ) )
& ( in(X3,X2)
| ( in(X3,powerset(X0))
& ? [X5] :
( set_difference(X5,singleton(X0)) = X3
& in(X5,X1) ) ) ) )
& element(X1,powerset(powerset(succ(X0)))) )
=> ( ordinal(sK20)
& ! [X2] :
? [X3] :
( ( ~ in(X3,X2)
| ~ in(X3,powerset(sK20))
| ! [X4] :
( set_difference(X4,singleton(sK20)) != X3
| ~ in(X4,sK21) ) )
& ( in(X3,X2)
| ( in(X3,powerset(sK20))
& ? [X5] :
( set_difference(X5,singleton(sK20)) = X3
& in(X5,sK21) ) ) ) )
& element(sK21,powerset(powerset(succ(sK20)))) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
! [X2] :
( ? [X3] :
( ( ~ in(X3,X2)
| ~ in(X3,powerset(sK20))
| ! [X4] :
( set_difference(X4,singleton(sK20)) != X3
| ~ in(X4,sK21) ) )
& ( in(X3,X2)
| ( in(X3,powerset(sK20))
& ? [X5] :
( set_difference(X5,singleton(sK20)) = X3
& in(X5,sK21) ) ) ) )
=> ( ( ~ in(sK22(X2),X2)
| ~ in(sK22(X2),powerset(sK20))
| ! [X4] :
( set_difference(X4,singleton(sK20)) != sK22(X2)
| ~ in(X4,sK21) ) )
& ( in(sK22(X2),X2)
| ( in(sK22(X2),powerset(sK20))
& ? [X5] :
( sK22(X2) = set_difference(X5,singleton(sK20))
& in(X5,sK21) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
! [X2] :
( ? [X5] :
( sK22(X2) = set_difference(X5,singleton(sK20))
& in(X5,sK21) )
=> ( set_difference(sK23(X2),singleton(sK20)) = sK22(X2)
& in(sK23(X2),sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
? [X0,X1] :
( ordinal(X0)
& ! [X2] :
? [X3] :
( ( ~ in(X3,X2)
| ~ in(X3,powerset(X0))
| ! [X4] :
( set_difference(X4,singleton(X0)) != X3
| ~ in(X4,X1) ) )
& ( in(X3,X2)
| ( in(X3,powerset(X0))
& ? [X5] :
( set_difference(X5,singleton(X0)) = X3
& in(X5,X1) ) ) ) )
& element(X1,powerset(powerset(succ(X0)))) ),
inference(rectify,[],[f114]) ).
fof(f114,plain,
? [X1,X0] :
( ordinal(X1)
& ! [X2] :
? [X3] :
( ( ~ in(X3,X2)
| ~ in(X3,powerset(X1))
| ! [X4] :
( set_difference(X4,singleton(X1)) != X3
| ~ in(X4,X0) ) )
& ( in(X3,X2)
| ( in(X3,powerset(X1))
& ? [X4] :
( set_difference(X4,singleton(X1)) = X3
& in(X4,X0) ) ) ) )
& element(X0,powerset(powerset(succ(X1)))) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
? [X1,X0] :
( ordinal(X1)
& ! [X2] :
? [X3] :
( ( ~ in(X3,X2)
| ~ in(X3,powerset(X1))
| ! [X4] :
( set_difference(X4,singleton(X1)) != X3
| ~ in(X4,X0) ) )
& ( in(X3,X2)
| ( in(X3,powerset(X1))
& ? [X4] :
( set_difference(X4,singleton(X1)) = X3
& in(X4,X0) ) ) ) )
& element(X0,powerset(powerset(succ(X1)))) ),
inference(nnf_transformation,[],[f66]) ).
fof(f66,plain,
? [X1,X0] :
( ordinal(X1)
& ! [X2] :
? [X3] :
( ( in(X3,powerset(X1))
& ? [X4] :
( set_difference(X4,singleton(X1)) = X3
& in(X4,X0) ) )
<~> in(X3,X2) )
& element(X0,powerset(powerset(succ(X1)))) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
? [X1,X0] :
( ! [X2] :
? [X3] :
( ( in(X3,powerset(X1))
& ? [X4] :
( set_difference(X4,singleton(X1)) = X3
& in(X4,X0) ) )
<~> in(X3,X2) )
& element(X0,powerset(powerset(succ(X1))))
& ordinal(X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
~ ! [X1,X0] :
( ( element(X0,powerset(powerset(succ(X1))))
& ordinal(X1) )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ( in(X3,powerset(X1))
& ? [X4] :
( set_difference(X4,singleton(X1)) = X3
& in(X4,X0) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X1,X0] :
( ( element(X1,powerset(powerset(succ(X0))))
& ordinal(X0) )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ( in(X3,powerset(X0))
& ? [X4] :
( in(X4,X1)
& set_difference(X4,singleton(X0)) = X3 ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X1,X0] :
( ( element(X1,powerset(powerset(succ(X0))))
& ordinal(X0) )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ( in(X3,powerset(X0))
& ? [X4] :
( in(X4,X1)
& set_difference(X4,singleton(X0)) = X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e4_27_3_1__finset_1) ).
fof(f579,plain,
( spl29_5
| ~ spl29_9
| spl29_12
| ~ spl29_6
| ~ spl29_31
| ~ spl29_11 ),
inference(avatar_split_clause,[],[f416,f359,f559,f310,f363,f351,f306]) ).
fof(f310,plain,
( spl29_6
<=> ordinal(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_6])]) ).
fof(f359,plain,
( spl29_11
<=> sK18(sK21,sK20,sK22(sK17(sK21,sK20))) = sK22(sK17(sK21,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_11])]) ).
fof(f416,plain,
( ~ in(sK22(sK17(sK21,sK20)),sK17(sK21,sK20))
| ~ ordinal(sK20)
| in(sK22(sK17(sK21,sK20)),powerset(sK20))
| ~ element(sK21,powerset(powerset(succ(sK20))))
| sP0(sK20,sK21)
| ~ spl29_11 ),
inference(superposition,[],[f187,f361]) ).
fof(f361,plain,
( sK18(sK21,sK20,sK22(sK17(sK21,sK20))) = sK22(sK17(sK21,sK20))
| ~ spl29_11 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f187,plain,
! [X3,X0,X1] :
( in(sK18(X0,X1,X3),powerset(X1))
| ~ in(X3,sK17(X0,X1))
| ~ element(X0,powerset(powerset(succ(X1))))
| sP0(X1,X0)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( sP0(X1,X0)
| ~ element(X0,powerset(powerset(succ(X1))))
| ~ ordinal(X1)
| ! [X3] :
( ( ( in(sK18(X0,X1,X3),powerset(X1))
& set_difference(sK19(X0,X1,X3),singleton(X1)) = X3
& in(sK19(X0,X1,X3),X0)
& sK18(X0,X1,X3) = X3 )
| ~ in(X3,sK17(X0,X1)) )
& ( in(X3,sK17(X0,X1))
| ! [X6] :
( ~ in(X6,powerset(X1))
| ! [X7] :
( set_difference(X7,singleton(X1)) != X3
| ~ in(X7,X0) )
| X3 != X6 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19])],[f108,f111,f110,f109]) ).
fof(f109,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( ? [X4] :
( in(X4,powerset(X1))
& ? [X5] :
( set_difference(X5,singleton(X1)) = X3
& in(X5,X0) )
& X3 = X4 )
| ~ in(X3,X2) )
& ( in(X3,X2)
| ! [X6] :
( ~ in(X6,powerset(X1))
| ! [X7] :
( set_difference(X7,singleton(X1)) != X3
| ~ in(X7,X0) )
| X3 != X6 ) ) )
=> ! [X3] :
( ( ? [X4] :
( in(X4,powerset(X1))
& ? [X5] :
( set_difference(X5,singleton(X1)) = X3
& in(X5,X0) )
& X3 = X4 )
| ~ in(X3,sK17(X0,X1)) )
& ( in(X3,sK17(X0,X1))
| ! [X6] :
( ~ in(X6,powerset(X1))
| ! [X7] :
( set_difference(X7,singleton(X1)) != X3
| ~ in(X7,X0) )
| X3 != X6 ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
! [X0,X1,X3] :
( ? [X4] :
( in(X4,powerset(X1))
& ? [X5] :
( set_difference(X5,singleton(X1)) = X3
& in(X5,X0) )
& X3 = X4 )
=> ( in(sK18(X0,X1,X3),powerset(X1))
& ? [X5] :
( set_difference(X5,singleton(X1)) = X3
& in(X5,X0) )
& sK18(X0,X1,X3) = X3 ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
! [X0,X1,X3] :
( ? [X5] :
( set_difference(X5,singleton(X1)) = X3
& in(X5,X0) )
=> ( set_difference(sK19(X0,X1,X3),singleton(X1)) = X3
& in(sK19(X0,X1,X3),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
! [X0,X1] :
( sP0(X1,X0)
| ~ element(X0,powerset(powerset(succ(X1))))
| ~ ordinal(X1)
| ? [X2] :
! [X3] :
( ( ? [X4] :
( in(X4,powerset(X1))
& ? [X5] :
( set_difference(X5,singleton(X1)) = X3
& in(X5,X0) )
& X3 = X4 )
| ~ in(X3,X2) )
& ( in(X3,X2)
| ! [X6] :
( ~ in(X6,powerset(X1))
| ! [X7] :
( set_difference(X7,singleton(X1)) != X3
| ~ in(X7,X0) )
| X3 != X6 ) ) ) ),
inference(rectify,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( sP0(X1,X0)
| ~ element(X0,powerset(powerset(succ(X1))))
| ~ ordinal(X1)
| ? [X7] :
! [X8] :
( ( ? [X9] :
( in(X9,powerset(X1))
& ? [X10] :
( set_difference(X10,singleton(X1)) = X8
& in(X10,X0) )
& X8 = X9 )
| ~ in(X8,X7) )
& ( in(X8,X7)
| ! [X9] :
( ~ in(X9,powerset(X1))
| ! [X10] :
( set_difference(X10,singleton(X1)) != X8
| ~ in(X10,X0) )
| X8 != X9 ) ) ) ),
inference(nnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( sP0(X1,X0)
| ~ element(X0,powerset(powerset(succ(X1))))
| ~ ordinal(X1)
| ? [X7] :
! [X8] :
( ? [X9] :
( in(X9,powerset(X1))
& ? [X10] :
( set_difference(X10,singleton(X1)) = X8
& in(X10,X0) )
& X8 = X9 )
<=> in(X8,X7) ) ),
inference(definition_folding,[],[f74,f77]) ).
fof(f77,plain,
! [X1,X0] :
( ? [X2,X4,X3] :
( X2 = X3
& X2 = X4
& ? [X5] :
( set_difference(X5,singleton(X1)) = X4
& in(X5,X0) )
& X3 != X4
& ? [X6] :
( in(X6,X0)
& set_difference(X6,singleton(X1)) = X3 ) )
| ~ sP0(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f74,plain,
! [X0,X1] :
( ? [X2,X4,X3] :
( X2 = X3
& X2 = X4
& ? [X5] :
( set_difference(X5,singleton(X1)) = X4
& in(X5,X0) )
& X3 != X4
& ? [X6] :
( in(X6,X0)
& set_difference(X6,singleton(X1)) = X3 ) )
| ~ element(X0,powerset(powerset(succ(X1))))
| ~ ordinal(X1)
| ? [X7] :
! [X8] :
( ? [X9] :
( in(X9,powerset(X1))
& ? [X10] :
( set_difference(X10,singleton(X1)) = X8
& in(X10,X0) )
& X8 = X9 )
<=> in(X8,X7) ) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X1,X0] :
( ? [X7] :
! [X8] :
( ? [X9] :
( in(X9,powerset(X1))
& ? [X10] :
( set_difference(X10,singleton(X1)) = X8
& in(X10,X0) )
& X8 = X9 )
<=> in(X8,X7) )
| ? [X2,X3,X4] :
( X3 != X4
& X2 = X3
& X2 = X4
& ? [X6] :
( in(X6,X0)
& set_difference(X6,singleton(X1)) = X3 )
& ? [X5] :
( set_difference(X5,singleton(X1)) = X4
& in(X5,X0) ) )
| ~ element(X0,powerset(powerset(succ(X1))))
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( ( element(X0,powerset(powerset(succ(X1))))
& ordinal(X1) )
=> ( ! [X2,X3,X4] :
( ( X2 = X3
& X2 = X4
& ? [X6] :
( in(X6,X0)
& set_difference(X6,singleton(X1)) = X3 )
& ? [X5] :
( set_difference(X5,singleton(X1)) = X4
& in(X5,X0) ) )
=> X3 = X4 )
=> ? [X7] :
! [X8] :
( ? [X9] :
( in(X9,powerset(X1))
& ? [X10] :
( set_difference(X10,singleton(X1)) = X8
& in(X10,X0) )
& X8 = X9 )
<=> in(X8,X7) ) ) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X1,X0] :
( ( element(X1,powerset(powerset(succ(X0))))
& ordinal(X0) )
=> ( ! [X2,X3,X4] :
( ( ? [X6] :
( in(X6,X1)
& set_difference(X6,singleton(X0)) = X4 )
& X2 = X3
& X2 = X4
& ? [X5] :
( set_difference(X5,singleton(X0)) = X3
& in(X5,X1) ) )
=> X3 = X4 )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ? [X4] :
( X3 = X4
& in(X4,powerset(X0))
& ? [X7] :
( in(X7,X1)
& set_difference(X7,singleton(X0)) = X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e4_27_3_1__finset_1__1) ).
fof(f578,plain,
( ~ spl29_12
| ~ spl29_31
| ~ spl29_19 ),
inference(avatar_split_clause,[],[f577,f426,f559,f363]) ).
fof(f426,plain,
( spl29_19
<=> ! [X0] :
( ~ in(sK22(X0),X0)
| sK22(sK17(sK21,sK20)) != sK22(X0)
| ~ in(sK22(X0),powerset(sK20)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_19])]) ).
fof(f577,plain,
( ~ in(sK22(sK17(sK21,sK20)),sK17(sK21,sK20))
| ~ in(sK22(sK17(sK21,sK20)),powerset(sK20))
| ~ spl29_19 ),
inference(equality_resolution,[],[f427]) ).
fof(f427,plain,
( ! [X0] :
( sK22(sK17(sK21,sK20)) != sK22(X0)
| ~ in(sK22(X0),X0)
| ~ in(sK22(X0),powerset(sK20)) )
| ~ spl29_19 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f570,plain,
( spl29_13
| spl29_31 ),
inference(avatar_split_clause,[],[f565,f559,f368]) ).
fof(f368,plain,
( spl29_13
<=> sK22(sK17(sK21,sK20)) = set_difference(sK23(sK17(sK21,sK20)),singleton(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_13])]) ).
fof(f565,plain,
( sK22(sK17(sK21,sK20)) = set_difference(sK23(sK17(sK21,sK20)),singleton(sK20))
| spl29_31 ),
inference(resolution,[],[f561,f194]) ).
fof(f194,plain,
! [X2] :
( in(sK22(X2),X2)
| set_difference(sK23(X2),singleton(sK20)) = sK22(X2) ),
inference(cnf_transformation,[],[f119]) ).
fof(f569,plain,
( spl29_14
| spl29_31 ),
inference(avatar_split_clause,[],[f567,f559,f373]) ).
fof(f567,plain,
( in(sK23(sK17(sK21,sK20)),sK21)
| spl29_31 ),
inference(resolution,[],[f561,f193]) ).
fof(f193,plain,
! [X2] :
( in(sK22(X2),X2)
| in(sK23(X2),sK21) ),
inference(cnf_transformation,[],[f119]) ).
fof(f562,plain,
( spl29_5
| ~ spl29_31
| ~ spl29_6
| ~ spl29_9
| spl29_28 ),
inference(avatar_split_clause,[],[f557,f494,f351,f310,f559,f306]) ).
fof(f494,plain,
( spl29_28
<=> in(sK19(sK21,sK20,sK22(sK17(sK21,sK20))),sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_28])]) ).
fof(f557,plain,
( ~ element(sK21,powerset(powerset(succ(sK20))))
| ~ ordinal(sK20)
| ~ in(sK22(sK17(sK21,sK20)),sK17(sK21,sK20))
| sP0(sK20,sK21)
| spl29_28 ),
inference(resolution,[],[f496,f185]) ).
fof(f185,plain,
! [X3,X0,X1] :
( in(sK19(X0,X1,X3),X0)
| ~ ordinal(X1)
| ~ in(X3,sK17(X0,X1))
| ~ element(X0,powerset(powerset(succ(X1))))
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f496,plain,
( ~ in(sK19(sK21,sK20,sK22(sK17(sK21,sK20))),sK21)
| spl29_28 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f497,plain,
( spl29_19
| ~ spl29_28
| ~ spl29_16 ),
inference(avatar_split_clause,[],[f475,f391,f494,f426]) ).
fof(f391,plain,
( spl29_16
<=> sK22(sK17(sK21,sK20)) = set_difference(sK19(sK21,sK20,sK22(sK17(sK21,sK20))),singleton(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_16])]) ).
fof(f475,plain,
( ! [X0] :
( ~ in(sK19(sK21,sK20,sK22(sK17(sK21,sK20))),sK21)
| ~ in(sK22(X0),X0)
| ~ in(sK22(X0),powerset(sK20))
| sK22(sK17(sK21,sK20)) != sK22(X0) )
| ~ spl29_16 ),
inference(superposition,[],[f196,f393]) ).
fof(f393,plain,
( sK22(sK17(sK21,sK20)) = set_difference(sK19(sK21,sK20,sK22(sK17(sK21,sK20))),singleton(sK20))
| ~ spl29_16 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f196,plain,
! [X2,X4] :
( set_difference(X4,singleton(sK20)) != sK22(X2)
| ~ in(X4,sK21)
| ~ in(sK22(X2),powerset(sK20))
| ~ in(sK22(X2),X2) ),
inference(cnf_transformation,[],[f119]) ).
fof(f428,plain,
( spl29_19
| ~ spl29_14
| ~ spl29_13 ),
inference(avatar_split_clause,[],[f417,f368,f373,f426]) ).
fof(f417,plain,
( ! [X0] :
( ~ in(sK23(sK17(sK21,sK20)),sK21)
| ~ in(sK22(X0),X0)
| ~ in(sK22(X0),powerset(sK20))
| sK22(sK17(sK21,sK20)) != sK22(X0) )
| ~ spl29_13 ),
inference(superposition,[],[f196,f370]) ).
fof(f370,plain,
( sK22(sK17(sK21,sK20)) = set_difference(sK23(sK17(sK21,sK20)),singleton(sK20))
| ~ spl29_13 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f424,plain,
( ~ spl29_12
| ~ spl29_6
| spl29_18
| ~ spl29_13 ),
inference(avatar_split_clause,[],[f418,f368,f422,f310,f363]) ).
fof(f418,plain,
( ! [X1] :
( sP0(sK20,X1)
| in(sK22(sK17(sK21,sK20)),sK17(X1,sK20))
| ~ in(sK23(sK17(sK21,sK20)),X1)
| ~ ordinal(sK20)
| ~ element(X1,powerset(powerset(succ(sK20))))
| ~ in(sK22(sK17(sK21,sK20)),powerset(sK20)) )
| ~ spl29_13 ),
inference(superposition,[],[f234,f370]) ).
fof(f234,plain,
! [X0,X1,X7] :
( in(set_difference(X7,singleton(X1)),sK17(X0,X1))
| ~ ordinal(X1)
| ~ element(X0,powerset(powerset(succ(X1))))
| sP0(X1,X0)
| ~ in(X7,X0)
| ~ in(set_difference(X7,singleton(X1)),powerset(X1)) ),
inference(equality_resolution,[],[f233]) ).
fof(f233,plain,
! [X0,X1,X6,X7] :
( sP0(X1,X0)
| ~ element(X0,powerset(powerset(succ(X1))))
| ~ ordinal(X1)
| in(set_difference(X7,singleton(X1)),sK17(X0,X1))
| ~ in(X6,powerset(X1))
| ~ in(X7,X0)
| set_difference(X7,singleton(X1)) != X6 ),
inference(equality_resolution,[],[f183]) ).
fof(f183,plain,
! [X3,X0,X1,X6,X7] :
( sP0(X1,X0)
| ~ element(X0,powerset(powerset(succ(X1))))
| ~ ordinal(X1)
| in(X3,sK17(X0,X1))
| ~ in(X6,powerset(X1))
| set_difference(X7,singleton(X1)) != X3
| ~ in(X7,X0)
| X3 != X6 ),
inference(cnf_transformation,[],[f112]) ).
fof(f399,plain,
spl29_9,
inference(avatar_contradiction_clause,[],[f398]) ).
fof(f398,plain,
( $false
| spl29_9 ),
inference(resolution,[],[f353,f192]) ).
fof(f192,plain,
element(sK21,powerset(powerset(succ(sK20)))),
inference(cnf_transformation,[],[f119]) ).
fof(f353,plain,
( ~ element(sK21,powerset(powerset(succ(sK20))))
| spl29_9 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f395,plain,
( spl29_13
| spl29_16
| ~ spl29_8 ),
inference(avatar_split_clause,[],[f387,f339,f391,f368]) ).
fof(f339,plain,
( spl29_8
<=> ! [X0] :
( set_difference(sK19(sK21,sK20,X0),singleton(sK20)) = X0
| ~ in(X0,sK17(sK21,sK20)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_8])]) ).
fof(f387,plain,
( sK22(sK17(sK21,sK20)) = set_difference(sK19(sK21,sK20,sK22(sK17(sK21,sK20))),singleton(sK20))
| sK22(sK17(sK21,sK20)) = set_difference(sK23(sK17(sK21,sK20)),singleton(sK20))
| ~ spl29_8 ),
inference(resolution,[],[f340,f194]) ).
fof(f340,plain,
( ! [X0] :
( ~ in(X0,sK17(sK21,sK20))
| set_difference(sK19(sK21,sK20,X0),singleton(sK20)) = X0 )
| ~ spl29_8 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f394,plain,
( spl29_14
| spl29_16
| ~ spl29_8 ),
inference(avatar_split_clause,[],[f389,f339,f391,f373]) ).
fof(f389,plain,
( sK22(sK17(sK21,sK20)) = set_difference(sK19(sK21,sK20,sK22(sK17(sK21,sK20))),singleton(sK20))
| in(sK23(sK17(sK21,sK20)),sK21)
| ~ spl29_8 ),
inference(resolution,[],[f340,f193]) ).
fof(f366,plain,
( spl29_11
| spl29_12
| ~ spl29_7 ),
inference(avatar_split_clause,[],[f348,f314,f363,f359]) ).
fof(f314,plain,
( spl29_7
<=> ! [X0] :
( sK18(sK21,sK20,X0) = X0
| ~ in(X0,sK17(sK21,sK20)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_7])]) ).
fof(f348,plain,
( in(sK22(sK17(sK21,sK20)),powerset(sK20))
| sK18(sK21,sK20,sK22(sK17(sK21,sK20))) = sK22(sK17(sK21,sK20))
| ~ spl29_7 ),
inference(resolution,[],[f315,f195]) ).
fof(f315,plain,
( ! [X0] :
( ~ in(X0,sK17(sK21,sK20))
| sK18(sK21,sK20,X0) = X0 )
| ~ spl29_7 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f341,plain,
( spl29_8
| spl29_5
| ~ spl29_6 ),
inference(avatar_split_clause,[],[f319,f310,f306,f339]) ).
fof(f319,plain,
! [X0] :
( ~ ordinal(sK20)
| sP0(sK20,sK21)
| set_difference(sK19(sK21,sK20,X0),singleton(sK20)) = X0
| ~ in(X0,sK17(sK21,sK20)) ),
inference(resolution,[],[f186,f192]) ).
fof(f186,plain,
! [X3,X0,X1] :
( ~ element(X0,powerset(powerset(succ(X1))))
| ~ in(X3,sK17(X0,X1))
| ~ ordinal(X1)
| set_difference(sK19(X0,X1,X3),singleton(X1)) = X3
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f337,plain,
( ~ spl29_5
| ~ spl29_5 ),
inference(avatar_split_clause,[],[f336,f306,f306]) ).
fof(f336,plain,
( ~ sP0(sK20,sK21)
| ~ spl29_5 ),
inference(trivial_inequality_removal,[],[f335]) ).
fof(f335,plain,
( ~ sP0(sK20,sK21)
| sK12(sK20,sK21) != sK12(sK20,sK21)
| ~ spl29_5 ),
inference(forward_demodulation,[],[f334,f330]) ).
fof(f330,plain,
( sK12(sK20,sK21) = sK13(sK20,sK21)
| ~ spl29_5 ),
inference(resolution,[],[f308,f181]) ).
fof(f181,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| sK13(X0,X1) = sK12(X0,X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( ( sK14(X0,X1) = sK12(X0,X1)
& sK13(X0,X1) = sK12(X0,X1)
& sK13(X0,X1) = set_difference(sK15(X0,X1),singleton(X0))
& in(sK15(X0,X1),X1)
& sK13(X0,X1) != sK14(X0,X1)
& in(sK16(X0,X1),X1)
& sK14(X0,X1) = set_difference(sK16(X0,X1),singleton(X0)) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15,sK16])],[f102,f105,f104,f103]) ).
fof(f103,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( X2 = X4
& X2 = X3
& ? [X5] :
( set_difference(X5,singleton(X0)) = X3
& in(X5,X1) )
& X3 != X4
& ? [X6] :
( in(X6,X1)
& set_difference(X6,singleton(X0)) = X4 ) )
=> ( sK14(X0,X1) = sK12(X0,X1)
& sK13(X0,X1) = sK12(X0,X1)
& ? [X5] :
( set_difference(X5,singleton(X0)) = sK13(X0,X1)
& in(X5,X1) )
& sK13(X0,X1) != sK14(X0,X1)
& ? [X6] :
( in(X6,X1)
& set_difference(X6,singleton(X0)) = sK14(X0,X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
! [X0,X1] :
( ? [X5] :
( set_difference(X5,singleton(X0)) = sK13(X0,X1)
& in(X5,X1) )
=> ( sK13(X0,X1) = set_difference(sK15(X0,X1),singleton(X0))
& in(sK15(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
! [X0,X1] :
( ? [X6] :
( in(X6,X1)
& set_difference(X6,singleton(X0)) = sK14(X0,X1) )
=> ( in(sK16(X0,X1),X1)
& sK14(X0,X1) = set_difference(sK16(X0,X1),singleton(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( X2 = X4
& X2 = X3
& ? [X5] :
( set_difference(X5,singleton(X0)) = X3
& in(X5,X1) )
& X3 != X4
& ? [X6] :
( in(X6,X1)
& set_difference(X6,singleton(X0)) = X4 ) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f101]) ).
fof(f101,plain,
! [X1,X0] :
( ? [X2,X4,X3] :
( X2 = X3
& X2 = X4
& ? [X5] :
( set_difference(X5,singleton(X1)) = X4
& in(X5,X0) )
& X3 != X4
& ? [X6] :
( in(X6,X0)
& set_difference(X6,singleton(X1)) = X3 ) )
| ~ sP0(X1,X0) ),
inference(nnf_transformation,[],[f77]) ).
fof(f308,plain,
( sP0(sK20,sK21)
| ~ spl29_5 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f334,plain,
( sK12(sK20,sK21) != sK13(sK20,sK21)
| ~ sP0(sK20,sK21)
| ~ spl29_5 ),
inference(superposition,[],[f178,f329]) ).
fof(f329,plain,
( sK14(sK20,sK21) = sK12(sK20,sK21)
| ~ spl29_5 ),
inference(resolution,[],[f308,f182]) ).
fof(f182,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| sK14(X0,X1) = sK12(X0,X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f178,plain,
! [X0,X1] :
( sK13(X0,X1) != sK14(X0,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f325,plain,
spl29_6,
inference(avatar_contradiction_clause,[],[f324]) ).
fof(f324,plain,
( $false
| spl29_6 ),
inference(resolution,[],[f312,f197]) ).
fof(f197,plain,
ordinal(sK20),
inference(cnf_transformation,[],[f119]) ).
fof(f312,plain,
( ~ ordinal(sK20)
| spl29_6 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f316,plain,
( spl29_5
| ~ spl29_6
| spl29_7 ),
inference(avatar_split_clause,[],[f300,f314,f310,f306]) ).
fof(f300,plain,
! [X0] :
( sK18(sK21,sK20,X0) = X0
| ~ in(X0,sK17(sK21,sK20))
| ~ ordinal(sK20)
| sP0(sK20,sK21) ),
inference(resolution,[],[f184,f192]) ).
fof(f184,plain,
! [X3,X0,X1] :
( ~ element(X0,powerset(powerset(succ(X1))))
| ~ in(X3,sK17(X0,X1))
| ~ ordinal(X1)
| sP0(X1,X0)
| sK18(X0,X1,X3) = X3 ),
inference(cnf_transformation,[],[f112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : SEU298+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.34 % Computer : n013.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8042.1875MB
% 0.10/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Tue Aug 30 15:03:32 EDT 2022
% 0.10/0.35 % CPUTime :
% 0.16/0.50 % (31094)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.51 % (31104)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.51 % (31086)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.51 % (31088)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.51 % (31096)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.52 % (31088)Instruction limit reached!
% 0.16/0.52 % (31088)------------------------------
% 0.16/0.52 % (31088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52 % (31088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52 % (31088)Termination reason: Unknown
% 0.16/0.52 % (31088)Termination phase: Naming
% 0.16/0.52
% 0.16/0.52 % (31088)Memory used [KB]: 895
% 0.16/0.52 % (31088)Time elapsed: 0.004 s
% 0.16/0.52 % (31088)Instructions burned: 2 (million)
% 0.16/0.52 % (31088)------------------------------
% 0.16/0.52 % (31088)------------------------------
% 0.16/0.52 TRYING [1]
% 0.16/0.52 TRYING [2]
% 0.16/0.52 % (31102)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.16/0.53 TRYING [3]
% 0.16/0.54 % (31093)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.55 % (31091)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.55 % (31092)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.55 % (31080)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.16/0.55 % (31082)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.16/0.56 % (31083)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.56 % (31085)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.16/0.56 % (31084)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.56 % (31098)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.56 % (31095)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.16/0.57 % (31107)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.16/0.57 % (31090)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.57 % (31108)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.57 % (31087)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.57 % (31106)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.57 TRYING [1]
% 0.16/0.57 % (31109)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.16/0.57 TRYING [2]
% 0.16/0.58 % (31105)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.16/0.58 TRYING [3]
% 0.16/0.58 % (31099)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.58 % (31101)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.58 % (31100)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.16/0.58 % (31103)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.16/0.58 % (31097)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.16/0.58 % (31086)Instruction limit reached!
% 0.16/0.58 % (31086)------------------------------
% 0.16/0.58 % (31086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.59 % (31086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.59 % (31086)Termination reason: Unknown
% 0.16/0.59 % (31086)Termination phase: Finite model building SAT solving
% 0.16/0.59
% 0.16/0.59 % (31086)Memory used [KB]: 6652
% 0.16/0.59 % (31086)Time elapsed: 0.146 s
% 0.16/0.59 % (31086)Instructions burned: 52 (million)
% 0.16/0.59 % (31086)------------------------------
% 0.16/0.59 % (31086)------------------------------
% 0.16/0.59 % (31089)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.74/0.59 % (31087)Instruction limit reached!
% 1.74/0.59 % (31087)------------------------------
% 1.74/0.59 % (31087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.59 % (31087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.59 % (31087)Termination reason: Unknown
% 1.74/0.59 % (31087)Termination phase: Saturation
% 1.74/0.59
% 1.74/0.59 % (31087)Memory used [KB]: 5500
% 1.74/0.59 % (31087)Time elapsed: 0.192 s
% 1.74/0.59 % (31087)Instructions burned: 7 (million)
% 1.74/0.59 % (31087)------------------------------
% 1.74/0.59 % (31087)------------------------------
% 1.74/0.60 TRYING [1]
% 1.74/0.61 TRYING [2]
% 1.74/0.61 % (31081)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.02/0.62 % (31094)Instruction limit reached!
% 2.02/0.62 % (31094)------------------------------
% 2.02/0.62 % (31094)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.62 % (31094)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.62 % (31094)Termination reason: Unknown
% 2.02/0.62 % (31094)Termination phase: Saturation
% 2.02/0.62
% 2.02/0.62 % (31094)Memory used [KB]: 6396
% 2.02/0.62 % (31094)Time elapsed: 0.077 s
% 2.02/0.62 % (31094)Instructions burned: 68 (million)
% 2.02/0.62 % (31094)------------------------------
% 2.02/0.62 % (31094)------------------------------
% 2.02/0.62 % (31081)Refutation not found, incomplete strategy% (31081)------------------------------
% 2.02/0.62 % (31081)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.62 % (31081)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.62 % (31081)Termination reason: Refutation not found, incomplete strategy
% 2.02/0.62
% 2.02/0.62 % (31081)Memory used [KB]: 5628
% 2.02/0.62 % (31081)Time elapsed: 0.175 s
% 2.02/0.62 % (31081)Instructions burned: 6 (million)
% 2.02/0.62 % (31081)------------------------------
% 2.02/0.62 % (31081)------------------------------
% 2.02/0.63 TRYING [3]
% 2.02/0.64 % (31090)First to succeed.
% 2.02/0.65 % (31082)Instruction limit reached!
% 2.02/0.65 % (31082)------------------------------
% 2.02/0.65 % (31082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.65 % (31082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.65 % (31082)Termination reason: Unknown
% 2.02/0.65 % (31082)Termination phase: Saturation
% 2.02/0.65
% 2.02/0.65 % (31082)Memory used [KB]: 1535
% 2.02/0.65 % (31082)Time elapsed: 0.229 s
% 2.02/0.65 % (31082)Instructions burned: 38 (million)
% 2.02/0.65 % (31082)------------------------------
% 2.02/0.65 % (31082)------------------------------
% 2.37/0.67 % (31090)Refutation found. Thanks to Tanya!
% 2.37/0.67 % SZS status Theorem for theBenchmark
% 2.37/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 2.37/0.67 % (31090)------------------------------
% 2.37/0.67 % (31090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.67 % (31090)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.67 % (31090)Termination reason: Refutation
% 2.37/0.67
% 2.37/0.67 % (31090)Memory used [KB]: 6012
% 2.37/0.67 % (31090)Time elapsed: 0.239 s
% 2.37/0.67 % (31090)Instructions burned: 26 (million)
% 2.37/0.67 % (31090)------------------------------
% 2.37/0.67 % (31090)------------------------------
% 2.37/0.67 % (31079)Success in time 0.31 s
%------------------------------------------------------------------------------