TSTP Solution File: SET771+4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET771+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n004.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 18:22:11 EDT 2022
% Result : Theorem 1.58s 0.71s
% Output : Refutation 1.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 17
% Syntax : Number of formulae : 132 ( 4 unt; 0 def)
% Number of atoms : 621 ( 20 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 746 ( 257 ~; 275 |; 160 &)
% ( 16 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 8 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 286 ( 216 !; 70 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f582,plain,
$false,
inference(avatar_sat_refutation,[],[f108,f117,f122,f123,f128,f129,f130,f131,f449,f485,f581]) ).
fof(f581,plain,
( ~ spl13_3
| spl13_5
| ~ spl13_6
| ~ spl13_7 ),
inference(avatar_contradiction_clause,[],[f580]) ).
fof(f580,plain,
( $false
| ~ spl13_3
| spl13_5
| ~ spl13_6
| ~ spl13_7 ),
inference(subsumption_resolution,[],[f557,f578]) ).
fof(f578,plain,
( apply(sK11,sK6(sK10,sK8),sK7(sK9,sK11,sK5(sK10,sK8)))
| ~ spl13_3
| ~ spl13_6
| ~ spl13_7 ),
inference(backward_demodulation,[],[f525,f564]) ).
fof(f564,plain,
( sK7(sK9,sK11,sK5(sK10,sK8)) = sK12(sK5(sK10,sK8),sK6(sK10,sK8))
| ~ spl13_3
| ~ spl13_6
| ~ spl13_7 ),
inference(unit_resulting_resolution,[],[f107,f121,f127,f492,f493,f230]) ).
fof(f230,plain,
! [X2,X0,X1] :
( ~ apply(sK11,X1,X0)
| ~ member(X1,sK10)
| ~ apply(sK8,X1,X2)
| ~ member(X2,sK10)
| ~ member(X0,sK9)
| sK12(X1,X2) = X0 ),
inference(subsumption_resolution,[],[f227,f85]) ).
fof(f85,plain,
! [X4,X5] :
( ~ apply(sK8,X4,X5)
| member(sK12(X4,X5),sK9)
| ~ member(X5,sK10)
| ~ member(X4,sK10) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( ~ equivalence(sK8,sK10)
& ! [X4,X5] :
( ~ member(X4,sK10)
| ( ( ( apply(sK11,X5,sK12(X4,X5))
& member(sK12(X4,X5),sK9)
& apply(sK11,X4,sK12(X4,X5)) )
| ~ apply(sK8,X4,X5) )
& ( apply(sK8,X4,X5)
| ! [X7] :
( ~ apply(sK11,X5,X7)
| ~ member(X7,sK9)
| ~ apply(sK11,X4,X7) ) ) )
| ~ member(X5,sK10) )
& maps(sK11,sK10,sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11,sK12])],[f61,f63,f62]) ).
fof(f62,plain,
( ? [X0,X1,X2,X3] :
( ~ equivalence(X0,X2)
& ! [X4,X5] :
( ~ member(X4,X2)
| ( ( ? [X6] :
( apply(X3,X5,X6)
& member(X6,X1)
& apply(X3,X4,X6) )
| ~ apply(X0,X4,X5) )
& ( apply(X0,X4,X5)
| ! [X7] :
( ~ apply(X3,X5,X7)
| ~ member(X7,X1)
| ~ apply(X3,X4,X7) ) ) )
| ~ member(X5,X2) )
& maps(X3,X2,X1) )
=> ( ~ equivalence(sK8,sK10)
& ! [X5,X4] :
( ~ member(X4,sK10)
| ( ( ? [X6] :
( apply(sK11,X5,X6)
& member(X6,sK9)
& apply(sK11,X4,X6) )
| ~ apply(sK8,X4,X5) )
& ( apply(sK8,X4,X5)
| ! [X7] :
( ~ apply(sK11,X5,X7)
| ~ member(X7,sK9)
| ~ apply(sK11,X4,X7) ) ) )
| ~ member(X5,sK10) )
& maps(sK11,sK10,sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X4,X5] :
( ? [X6] :
( apply(sK11,X5,X6)
& member(X6,sK9)
& apply(sK11,X4,X6) )
=> ( apply(sK11,X5,sK12(X4,X5))
& member(sK12(X4,X5),sK9)
& apply(sK11,X4,sK12(X4,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
? [X0,X1,X2,X3] :
( ~ equivalence(X0,X2)
& ! [X4,X5] :
( ~ member(X4,X2)
| ( ( ? [X6] :
( apply(X3,X5,X6)
& member(X6,X1)
& apply(X3,X4,X6) )
| ~ apply(X0,X4,X5) )
& ( apply(X0,X4,X5)
| ! [X7] :
( ~ apply(X3,X5,X7)
| ~ member(X7,X1)
| ~ apply(X3,X4,X7) ) ) )
| ~ member(X5,X2) )
& maps(X3,X2,X1) ),
inference(rectify,[],[f60]) ).
fof(f60,plain,
? [X1,X0,X3,X2] :
( ~ equivalence(X1,X3)
& ! [X4,X5] :
( ~ member(X4,X3)
| ( ( ? [X6] :
( apply(X2,X5,X6)
& member(X6,X0)
& apply(X2,X4,X6) )
| ~ apply(X1,X4,X5) )
& ( apply(X1,X4,X5)
| ! [X6] :
( ~ apply(X2,X5,X6)
| ~ member(X6,X0)
| ~ apply(X2,X4,X6) ) ) )
| ~ member(X5,X3) )
& maps(X2,X3,X0) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
? [X1,X0,X3,X2] :
( ~ equivalence(X1,X3)
& ! [X4,X5] :
( ~ member(X4,X3)
| ( ? [X6] :
( apply(X2,X5,X6)
& member(X6,X0)
& apply(X2,X4,X6) )
<=> apply(X1,X4,X5) )
| ~ member(X5,X3) )
& maps(X2,X3,X0) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
? [X0,X3,X2,X1] :
( ~ equivalence(X1,X3)
& maps(X2,X3,X0)
& ! [X5,X4] :
( ( ? [X6] :
( apply(X2,X5,X6)
& member(X6,X0)
& apply(X2,X4,X6) )
<=> apply(X1,X4,X5) )
| ~ member(X4,X3)
| ~ member(X5,X3) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
~ ! [X0,X3,X2,X1] :
( ( maps(X2,X3,X0)
& ! [X5,X4] :
( ( member(X4,X3)
& member(X5,X3) )
=> ( ? [X6] :
( apply(X2,X5,X6)
& member(X6,X0)
& apply(X2,X4,X6) )
<=> apply(X1,X4,X5) ) ) )
=> equivalence(X1,X3) ),
inference(rectify,[],[f35]) ).
fof(f35,negated_conjecture,
~ ! [X1,X14,X5,X0] :
( ( ! [X12,X13] :
( ( member(X12,X0)
& member(X13,X0) )
=> ( apply(X14,X12,X13)
<=> ? [X4] :
( apply(X5,X12,X4)
& member(X4,X1)
& apply(X5,X13,X4) ) ) )
& maps(X5,X0,X1) )
=> equivalence(X14,X0) ),
inference(negated_conjecture,[],[f34]) ).
fof(f34,conjecture,
! [X1,X14,X5,X0] :
( ( ! [X12,X13] :
( ( member(X12,X0)
& member(X13,X0) )
=> ( apply(X14,X12,X13)
<=> ? [X4] :
( apply(X5,X12,X4)
& member(X4,X1)
& apply(X5,X13,X4) ) ) )
& maps(X5,X0,X1) )
=> equivalence(X14,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII07) ).
fof(f227,plain,
! [X2,X0,X1] :
( ~ member(sK12(X1,X2),sK9)
| ~ apply(sK11,X1,X0)
| ~ apply(sK8,X1,X2)
| sK12(X1,X2) = X0
| ~ member(X2,sK10)
| ~ member(X1,sK10)
| ~ member(X0,sK9) ),
inference(duplicate_literal_removal,[],[f218]) ).
fof(f218,plain,
! [X2,X0,X1] :
( ~ member(X2,sK10)
| ~ member(X0,sK9)
| ~ member(sK12(X1,X2),sK9)
| ~ apply(sK8,X1,X2)
| sK12(X1,X2) = X0
| ~ member(X1,sK10)
| ~ member(X1,sK10)
| ~ apply(sK11,X1,X0) ),
inference(resolution,[],[f144,f84]) ).
fof(f84,plain,
! [X4,X5] :
( apply(sK11,X4,sK12(X4,X5))
| ~ member(X5,sK10)
| ~ apply(sK8,X4,X5)
| ~ member(X4,sK10) ),
inference(cnf_transformation,[],[f64]) ).
fof(f144,plain,
! [X2,X0,X1] :
( ~ apply(sK11,X0,X2)
| ~ member(X1,sK9)
| ~ apply(sK11,X0,X1)
| X1 = X2
| ~ member(X0,sK10)
| ~ member(X2,sK9) ),
inference(resolution,[],[f82,f79]) ).
fof(f79,plain,
! [X2,X0,X1,X6,X7,X5] :
( ~ apply(X1,X5,X6)
| ~ member(X5,X2)
| ~ maps(X1,X2,X0)
| X6 = X7
| ~ member(X6,X0)
| ~ apply(X1,X5,X7)
| ~ member(X7,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2] :
( ~ maps(X1,X2,X0)
| ( ! [X3] :
( ~ member(X3,X2)
| ( member(sK7(X0,X1,X3),X0)
& apply(X1,X3,sK7(X0,X1,X3)) ) )
& ! [X5,X6,X7] :
( ~ apply(X1,X5,X6)
| ~ member(X6,X0)
| ~ apply(X1,X5,X7)
| ~ member(X5,X2)
| ~ member(X7,X0)
| X6 = X7 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f57,f58]) ).
fof(f58,plain,
! [X0,X1,X3] :
( ? [X4] :
( member(X4,X0)
& apply(X1,X3,X4) )
=> ( member(sK7(X0,X1,X3),X0)
& apply(X1,X3,sK7(X0,X1,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ~ maps(X1,X2,X0)
| ( ! [X3] :
( ~ member(X3,X2)
| ? [X4] :
( member(X4,X0)
& apply(X1,X3,X4) ) )
& ! [X5,X6,X7] :
( ~ apply(X1,X5,X6)
| ~ member(X6,X0)
| ~ apply(X1,X5,X7)
| ~ member(X5,X2)
| ~ member(X7,X0)
| X6 = X7 ) ) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
! [X1,X0,X2] :
( ~ maps(X0,X2,X1)
| ( ! [X3] :
( ~ member(X3,X2)
| ? [X4] :
( member(X4,X1)
& apply(X0,X3,X4) ) )
& ! [X6,X5,X7] :
( ~ apply(X0,X6,X5)
| ~ member(X5,X1)
| ~ apply(X0,X6,X7)
| ~ member(X6,X2)
| ~ member(X7,X1)
| X5 = X7 ) ) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ( ! [X7,X5,X6] :
( X5 = X7
| ~ apply(X0,X6,X7)
| ~ apply(X0,X6,X5)
| ~ member(X6,X2)
| ~ member(X5,X1)
| ~ member(X7,X1) )
& ! [X3] :
( ~ member(X3,X2)
| ? [X4] :
( member(X4,X1)
& apply(X0,X3,X4) ) ) )
| ~ maps(X0,X2,X1) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( maps(X0,X2,X1)
=> ( ! [X7,X5,X6] :
( ( member(X6,X2)
& member(X5,X1)
& member(X7,X1) )
=> ( ( apply(X0,X6,X7)
& apply(X0,X6,X5) )
=> X5 = X7 ) )
& ! [X3] :
( member(X3,X2)
=> ? [X4] :
( member(X4,X1)
& apply(X0,X3,X4) ) ) ) ),
inference(unused_predicate_definition_removal,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( ! [X7,X5,X6] :
( ( member(X6,X2)
& member(X5,X1)
& member(X7,X1) )
=> ( ( apply(X0,X6,X7)
& apply(X0,X6,X5) )
=> X5 = X7 ) )
& ! [X3] :
( member(X3,X2)
=> ? [X4] :
( member(X4,X1)
& apply(X0,X3,X4) ) ) )
<=> maps(X0,X2,X1) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X5,X1,X0] :
( maps(X5,X0,X1)
<=> ( ! [X2] :
( member(X2,X0)
=> ? [X4] :
( apply(X5,X2,X4)
& member(X4,X1) ) )
& ! [X7,X2,X6] :
( ( member(X7,X1)
& member(X2,X0)
& member(X6,X1) )
=> ( ( apply(X5,X2,X6)
& apply(X5,X2,X7) )
=> X6 = X7 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maps) ).
fof(f82,plain,
maps(sK11,sK10,sK9),
inference(cnf_transformation,[],[f64]) ).
fof(f493,plain,
( apply(sK11,sK5(sK10,sK8),sK7(sK9,sK11,sK5(sK10,sK8)))
| ~ spl13_3 ),
inference(unit_resulting_resolution,[],[f107,f146]) ).
fof(f146,plain,
! [X4] :
( apply(sK11,X4,sK7(sK9,sK11,X4))
| ~ member(X4,sK10) ),
inference(resolution,[],[f82,f80]) ).
fof(f80,plain,
! [X2,X3,X0,X1] :
( apply(X1,X3,sK7(X0,X1,X3))
| ~ member(X3,X2)
| ~ maps(X1,X2,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f492,plain,
( member(sK7(sK9,sK11,sK5(sK10,sK8)),sK9)
| ~ spl13_3 ),
inference(unit_resulting_resolution,[],[f107,f145]) ).
fof(f145,plain,
! [X3] :
( member(sK7(sK9,sK11,X3),sK9)
| ~ member(X3,sK10) ),
inference(resolution,[],[f82,f81]) ).
fof(f81,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,X2)
| member(sK7(X0,X1,X3),X0)
| ~ maps(X1,X2,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f127,plain,
( apply(sK8,sK5(sK10,sK8),sK6(sK10,sK8))
| ~ spl13_7 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl13_7
<=> apply(sK8,sK5(sK10,sK8),sK6(sK10,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).
fof(f121,plain,
( member(sK6(sK10,sK8),sK10)
| ~ spl13_6 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f119,plain,
( spl13_6
<=> member(sK6(sK10,sK8),sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).
fof(f107,plain,
( member(sK5(sK10,sK8),sK10)
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl13_3
<=> member(sK5(sK10,sK8),sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f525,plain,
( apply(sK11,sK6(sK10,sK8),sK12(sK5(sK10,sK8),sK6(sK10,sK8)))
| ~ spl13_3
| ~ spl13_6
| ~ spl13_7 ),
inference(unit_resulting_resolution,[],[f107,f121,f127,f86]) ).
fof(f86,plain,
! [X4,X5] :
( apply(sK11,X5,sK12(X4,X5))
| ~ member(X5,sK10)
| ~ apply(sK8,X4,X5)
| ~ member(X4,sK10) ),
inference(cnf_transformation,[],[f64]) ).
fof(f557,plain,
( ~ apply(sK11,sK6(sK10,sK8),sK7(sK9,sK11,sK5(sK10,sK8)))
| ~ spl13_3
| spl13_5
| ~ spl13_6 ),
inference(unit_resulting_resolution,[],[f121,f116,f107,f492,f493,f83]) ).
fof(f83,plain,
! [X7,X4,X5] :
( apply(sK8,X4,X5)
| ~ member(X4,sK10)
| ~ member(X7,sK9)
| ~ member(X5,sK10)
| ~ apply(sK11,X4,X7)
| ~ apply(sK11,X5,X7) ),
inference(cnf_transformation,[],[f64]) ).
fof(f116,plain,
( ~ apply(sK8,sK6(sK10,sK8),sK5(sK10,sK8))
| spl13_5 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl13_5
<=> apply(sK8,sK6(sK10,sK8),sK5(sK10,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
fof(f485,plain,
( spl13_1
| ~ spl13_4 ),
inference(avatar_contradiction_clause,[],[f484]) ).
fof(f484,plain,
( $false
| spl13_1
| ~ spl13_4 ),
inference(subsumption_resolution,[],[f476,f459]) ).
fof(f459,plain,
( apply(sK11,sK4(sK10,sK8),sK7(sK9,sK11,sK4(sK10,sK8)))
| ~ spl13_4 ),
inference(unit_resulting_resolution,[],[f112,f146]) ).
fof(f112,plain,
( member(sK4(sK10,sK8),sK10)
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl13_4
<=> member(sK4(sK10,sK8),sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
fof(f476,plain,
( ~ apply(sK11,sK4(sK10,sK8),sK7(sK9,sK11,sK4(sK10,sK8)))
| spl13_1
| ~ spl13_4 ),
inference(unit_resulting_resolution,[],[f458,f470]) ).
fof(f470,plain,
( ! [X0] :
( ~ apply(sK11,sK4(sK10,sK8),X0)
| ~ member(X0,sK9) )
| spl13_1
| ~ spl13_4 ),
inference(subsumption_resolution,[],[f469,f112]) ).
fof(f469,plain,
( ! [X0] :
( ~ apply(sK11,sK4(sK10,sK8),X0)
| ~ member(sK4(sK10,sK8),sK10)
| ~ member(X0,sK9) )
| spl13_1 ),
inference(duplicate_literal_removal,[],[f468]) ).
fof(f468,plain,
( ! [X0] :
( ~ apply(sK11,sK4(sK10,sK8),X0)
| ~ member(sK4(sK10,sK8),sK10)
| ~ apply(sK11,sK4(sK10,sK8),X0)
| ~ member(sK4(sK10,sK8),sK10)
| ~ member(X0,sK9) )
| spl13_1 ),
inference(resolution,[],[f99,f83]) ).
fof(f99,plain,
( ~ apply(sK8,sK4(sK10,sK8),sK4(sK10,sK8))
| spl13_1 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl13_1
<=> apply(sK8,sK4(sK10,sK8),sK4(sK10,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f458,plain,
( member(sK7(sK9,sK11,sK4(sK10,sK8)),sK9)
| ~ spl13_4 ),
inference(unit_resulting_resolution,[],[f112,f145]) ).
fof(f449,plain,
~ spl13_2,
inference(avatar_contradiction_clause,[],[f448]) ).
fof(f448,plain,
( $false
| ~ spl13_2 ),
inference(subsumption_resolution,[],[f445,f369]) ).
fof(f369,plain,
( apply(sK11,sK3(sK8,sK10),sK7(sK9,sK11,sK1(sK8,sK10)))
| ~ spl13_2 ),
inference(backward_demodulation,[],[f207,f354]) ).
fof(f354,plain,
( sK7(sK9,sK11,sK1(sK8,sK10)) = sK12(sK1(sK8,sK10),sK3(sK8,sK10))
| ~ spl13_2 ),
inference(unit_resulting_resolution,[],[f132,f137,f136,f147,f148,f230]) ).
fof(f148,plain,
( apply(sK11,sK1(sK8,sK10),sK7(sK9,sK11,sK1(sK8,sK10)))
| ~ spl13_2 ),
inference(unit_resulting_resolution,[],[f82,f132,f80]) ).
fof(f147,plain,
( member(sK7(sK9,sK11,sK1(sK8,sK10)),sK9)
| ~ spl13_2 ),
inference(unit_resulting_resolution,[],[f82,f132,f81]) ).
fof(f136,plain,
( apply(sK8,sK1(sK8,sK10),sK3(sK8,sK10))
| ~ spl13_2 ),
inference(unit_resulting_resolution,[],[f103,f70]) ).
fof(f70,plain,
! [X0,X1] :
( apply(X0,sK1(X0,X1),sK3(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ( apply(X0,sK1(X0,X1),sK3(X0,X1))
& member(sK3(X0,X1),X1)
& ~ apply(X0,sK2(X0,X1),sK3(X0,X1))
& apply(X0,sK2(X0,X1),sK1(X0,X1))
& member(sK2(X0,X1),X1)
& member(sK1(X0,X1),X1) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f50,f51]) ).
fof(f51,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( apply(X0,X2,X4)
& member(X4,X1)
& ~ apply(X0,X3,X4)
& apply(X0,X3,X2)
& member(X3,X1)
& member(X2,X1) )
=> ( apply(X0,sK1(X0,X1),sK3(X0,X1))
& member(sK3(X0,X1),X1)
& ~ apply(X0,sK2(X0,X1),sK3(X0,X1))
& apply(X0,sK2(X0,X1),sK1(X0,X1))
& member(sK2(X0,X1),X1)
& member(sK1(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( apply(X0,X2,X4)
& member(X4,X1)
& ~ apply(X0,X3,X4)
& apply(X0,X3,X2)
& member(X3,X1)
& member(X2,X1) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ? [X7,X5,X6] :
( apply(X0,X7,X6)
& member(X6,X1)
& ~ apply(X0,X5,X6)
& apply(X0,X5,X7)
& member(X5,X1)
& member(X7,X1) )
| ~ sP0(X0,X1) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ? [X7,X5,X6] :
( apply(X0,X7,X6)
& member(X6,X1)
& ~ apply(X0,X5,X6)
& apply(X0,X5,X7)
& member(X5,X1)
& member(X7,X1) )
| ~ sP0(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f103,plain,
( sP0(sK8,sK10)
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl13_2
<=> sP0(sK8,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f137,plain,
( member(sK3(sK8,sK10),sK10)
| ~ spl13_2 ),
inference(unit_resulting_resolution,[],[f103,f69]) ).
fof(f69,plain,
! [X0,X1] :
( member(sK3(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f132,plain,
( member(sK1(sK8,sK10),sK10)
| ~ spl13_2 ),
inference(unit_resulting_resolution,[],[f103,f65]) ).
fof(f65,plain,
! [X0,X1] :
( member(sK1(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f207,plain,
( apply(sK11,sK3(sK8,sK10),sK12(sK1(sK8,sK10),sK3(sK8,sK10)))
| ~ spl13_2 ),
inference(unit_resulting_resolution,[],[f132,f137,f136,f86]) ).
fof(f445,plain,
( ~ apply(sK11,sK3(sK8,sK10),sK7(sK9,sK11,sK1(sK8,sK10)))
| ~ spl13_2 ),
inference(backward_demodulation,[],[f425,f444]) ).
fof(f444,plain,
( sK7(sK9,sK11,sK1(sK8,sK10)) = sK7(sK9,sK11,sK2(sK8,sK10))
| ~ spl13_2 ),
inference(forward_demodulation,[],[f431,f333]) ).
fof(f333,plain,
( sK7(sK9,sK11,sK1(sK8,sK10)) = sK12(sK2(sK8,sK10),sK1(sK8,sK10))
| ~ spl13_2 ),
inference(unit_resulting_resolution,[],[f135,f133,f132,f147,f148,f229]) ).
fof(f229,plain,
! [X3,X4,X5] :
( ~ apply(sK11,X4,X3)
| ~ apply(sK8,X5,X4)
| ~ member(X4,sK10)
| ~ member(X5,sK10)
| ~ member(X3,sK9)
| sK12(X5,X4) = X3 ),
inference(subsumption_resolution,[],[f228,f85]) ).
fof(f228,plain,
! [X3,X4,X5] :
( ~ apply(sK8,X5,X4)
| ~ apply(sK11,X4,X3)
| ~ member(X4,sK10)
| ~ member(X3,sK9)
| sK12(X5,X4) = X3
| ~ member(X5,sK10)
| ~ member(sK12(X5,X4),sK9) ),
inference(duplicate_literal_removal,[],[f219]) ).
fof(f219,plain,
! [X3,X4,X5] :
( ~ member(X3,sK9)
| ~ member(X4,sK10)
| ~ apply(sK11,X4,X3)
| ~ member(X4,sK10)
| sK12(X5,X4) = X3
| ~ apply(sK8,X5,X4)
| ~ member(sK12(X5,X4),sK9)
| ~ member(X5,sK10) ),
inference(resolution,[],[f144,f86]) ).
fof(f133,plain,
( apply(sK8,sK2(sK8,sK10),sK1(sK8,sK10))
| ~ spl13_2 ),
inference(unit_resulting_resolution,[],[f103,f67]) ).
fof(f67,plain,
! [X0,X1] :
( apply(X0,sK2(X0,X1),sK1(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f135,plain,
( member(sK2(sK8,sK10),sK10)
| ~ spl13_2 ),
inference(unit_resulting_resolution,[],[f103,f66]) ).
fof(f66,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| member(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f431,plain,
( sK7(sK9,sK11,sK2(sK8,sK10)) = sK12(sK2(sK8,sK10),sK1(sK8,sK10))
| ~ spl13_2 ),
inference(unit_resulting_resolution,[],[f135,f132,f133,f161,f162,f230]) ).
fof(f162,plain,
( apply(sK11,sK2(sK8,sK10),sK7(sK9,sK11,sK2(sK8,sK10)))
| ~ spl13_2 ),
inference(unit_resulting_resolution,[],[f82,f135,f80]) ).
fof(f161,plain,
( member(sK7(sK9,sK11,sK2(sK8,sK10)),sK9)
| ~ spl13_2 ),
inference(unit_resulting_resolution,[],[f82,f135,f81]) ).
fof(f425,plain,
( ~ apply(sK11,sK3(sK8,sK10),sK7(sK9,sK11,sK2(sK8,sK10)))
| ~ spl13_2 ),
inference(unit_resulting_resolution,[],[f135,f137,f134,f161,f162,f83]) ).
fof(f134,plain,
( ~ apply(sK8,sK2(sK8,sK10),sK3(sK8,sK10))
| ~ spl13_2 ),
inference(unit_resulting_resolution,[],[f103,f68]) ).
fof(f68,plain,
! [X0,X1] :
( ~ apply(X0,sK2(X0,X1),sK3(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f131,plain,
( spl13_7
| ~ spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f95,f101,f97,f125]) ).
fof(f95,plain,
( sP0(sK8,sK10)
| ~ apply(sK8,sK4(sK10,sK8),sK4(sK10,sK8))
| apply(sK8,sK5(sK10,sK8),sK6(sK10,sK8)) ),
inference(resolution,[],[f87,f78]) ).
fof(f78,plain,
! [X0,X1] :
( ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
| sP0(X1,X0)
| apply(X1,sK5(X0,X1),sK6(X0,X1))
| equivalence(X1,X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( sP0(X1,X0)
| ( ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
& member(sK4(X0,X1),X0) )
| equivalence(X1,X0)
| ( apply(X1,sK5(X0,X1),sK6(X0,X1))
& member(sK6(X0,X1),X0)
& member(sK5(X0,X1),X0)
& ~ apply(X1,sK6(X0,X1),sK5(X0,X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f53,f55,f54]) ).
fof(f54,plain,
! [X0,X1] :
( ? [X2] :
( ~ apply(X1,X2,X2)
& member(X2,X0) )
=> ( ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
& member(sK4(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0,X1] :
( ? [X3,X4] :
( apply(X1,X3,X4)
& member(X4,X0)
& member(X3,X0)
& ~ apply(X1,X4,X3) )
=> ( apply(X1,sK5(X0,X1),sK6(X0,X1))
& member(sK6(X0,X1),X0)
& member(sK5(X0,X1),X0)
& ~ apply(X1,sK6(X0,X1),sK5(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0,X1] :
( sP0(X1,X0)
| ? [X2] :
( ~ apply(X1,X2,X2)
& member(X2,X0) )
| equivalence(X1,X0)
| ? [X3,X4] :
( apply(X1,X3,X4)
& member(X4,X0)
& member(X3,X0)
& ~ apply(X1,X4,X3) ) ),
inference(rectify,[],[f48]) ).
fof(f48,plain,
! [X1,X0] :
( sP0(X0,X1)
| ? [X2] :
( ~ apply(X0,X2,X2)
& member(X2,X1) )
| equivalence(X0,X1)
| ? [X3,X4] :
( apply(X0,X3,X4)
& member(X4,X1)
& member(X3,X1)
& ~ apply(X0,X4,X3) ) ),
inference(definition_folding,[],[f46,f47]) ).
fof(f46,plain,
! [X1,X0] :
( ? [X7,X5,X6] :
( apply(X0,X7,X6)
& member(X6,X1)
& ~ apply(X0,X5,X6)
& apply(X0,X5,X7)
& member(X5,X1)
& member(X7,X1) )
| ? [X2] :
( ~ apply(X0,X2,X2)
& member(X2,X1) )
| equivalence(X0,X1)
| ? [X3,X4] :
( apply(X0,X3,X4)
& member(X4,X1)
& member(X3,X1)
& ~ apply(X0,X4,X3) ) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( equivalence(X0,X1)
| ? [X6,X7,X5] :
( ~ apply(X0,X5,X6)
& apply(X0,X5,X7)
& apply(X0,X7,X6)
& member(X7,X1)
& member(X6,X1)
& member(X5,X1) )
| ? [X3,X4] :
( ~ apply(X0,X4,X3)
& apply(X0,X3,X4)
& member(X3,X1)
& member(X4,X1) )
| ? [X2] :
( ~ apply(X0,X2,X2)
& member(X2,X1) ) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ( ! [X6,X7,X5] :
( ( member(X7,X1)
& member(X6,X1)
& member(X5,X1) )
=> ( ( apply(X0,X5,X7)
& apply(X0,X7,X6) )
=> apply(X0,X5,X6) ) )
& ! [X3,X4] :
( ( member(X3,X1)
& member(X4,X1) )
=> ( apply(X0,X3,X4)
=> apply(X0,X4,X3) ) )
& ! [X2] :
( member(X2,X1)
=> apply(X0,X2,X2) ) )
=> equivalence(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( equivalence(X0,X1)
<=> ( ! [X6,X7,X5] :
( ( member(X7,X1)
& member(X6,X1)
& member(X5,X1) )
=> ( ( apply(X0,X5,X7)
& apply(X0,X7,X6) )
=> apply(X0,X5,X6) ) )
& ! [X3,X4] :
( ( member(X3,X1)
& member(X4,X1) )
=> ( apply(X0,X3,X4)
=> apply(X0,X4,X3) ) )
& ! [X2] :
( member(X2,X1)
=> apply(X0,X2,X2) ) ) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X14,X0] :
( ( ! [X2] :
( member(X2,X0)
=> apply(X14,X2,X2) )
& ! [X2,X4] :
( ( member(X2,X0)
& member(X4,X0) )
=> ( apply(X14,X2,X4)
=> apply(X14,X4,X2) ) )
& ! [X2,X11,X4] :
( ( member(X4,X0)
& member(X2,X0)
& member(X11,X0) )
=> ( ( apply(X14,X2,X4)
& apply(X14,X4,X11) )
=> apply(X14,X2,X11) ) ) )
<=> equivalence(X14,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equivalence) ).
fof(f87,plain,
~ equivalence(sK8,sK10),
inference(cnf_transformation,[],[f64]) ).
fof(f130,plain,
( spl13_2
| spl13_4
| spl13_3 ),
inference(avatar_split_clause,[],[f89,f105,f110,f101]) ).
fof(f89,plain,
( member(sK5(sK10,sK8),sK10)
| member(sK4(sK10,sK8),sK10)
| sP0(sK8,sK10) ),
inference(resolution,[],[f87,f72]) ).
fof(f72,plain,
! [X0,X1] :
( member(sK5(X0,X1),X0)
| sP0(X1,X0)
| equivalence(X1,X0)
| member(sK4(X0,X1),X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f129,plain,
( ~ spl13_5
| ~ spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f92,f101,f97,f114]) ).
fof(f92,plain,
( sP0(sK8,sK10)
| ~ apply(sK8,sK4(sK10,sK8),sK4(sK10,sK8))
| ~ apply(sK8,sK6(sK10,sK8),sK5(sK10,sK8)) ),
inference(resolution,[],[f87,f75]) ).
fof(f75,plain,
! [X0,X1] :
( sP0(X1,X0)
| equivalence(X1,X0)
| ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
| ~ apply(X1,sK6(X0,X1),sK5(X0,X1)) ),
inference(cnf_transformation,[],[f56]) ).
fof(f128,plain,
( spl13_2
| spl13_4
| spl13_7 ),
inference(avatar_split_clause,[],[f91,f125,f110,f101]) ).
fof(f91,plain,
( apply(sK8,sK5(sK10,sK8),sK6(sK10,sK8))
| member(sK4(sK10,sK8),sK10)
| sP0(sK8,sK10) ),
inference(resolution,[],[f87,f74]) ).
fof(f74,plain,
! [X0,X1] :
( apply(X1,sK5(X0,X1),sK6(X0,X1))
| member(sK4(X0,X1),X0)
| equivalence(X1,X0)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f123,plain,
( spl13_2
| spl13_6
| spl13_4 ),
inference(avatar_split_clause,[],[f90,f110,f119,f101]) ).
fof(f90,plain,
( member(sK4(sK10,sK8),sK10)
| member(sK6(sK10,sK8),sK10)
| sP0(sK8,sK10) ),
inference(resolution,[],[f87,f73]) ).
fof(f73,plain,
! [X0,X1] :
( equivalence(X1,X0)
| member(sK4(X0,X1),X0)
| sP0(X1,X0)
| member(sK6(X0,X1),X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f122,plain,
( spl13_6
| ~ spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f94,f101,f97,f119]) ).
fof(f94,plain,
( sP0(sK8,sK10)
| ~ apply(sK8,sK4(sK10,sK8),sK4(sK10,sK8))
| member(sK6(sK10,sK8),sK10) ),
inference(resolution,[],[f87,f77]) ).
fof(f77,plain,
! [X0,X1] :
( member(sK6(X0,X1),X0)
| equivalence(X1,X0)
| ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f117,plain,
( spl13_2
| spl13_4
| ~ spl13_5 ),
inference(avatar_split_clause,[],[f88,f114,f110,f101]) ).
fof(f88,plain,
( ~ apply(sK8,sK6(sK10,sK8),sK5(sK10,sK8))
| member(sK4(sK10,sK8),sK10)
| sP0(sK8,sK10) ),
inference(resolution,[],[f87,f71]) ).
fof(f71,plain,
! [X0,X1] :
( member(sK4(X0,X1),X0)
| sP0(X1,X0)
| equivalence(X1,X0)
| ~ apply(X1,sK6(X0,X1),sK5(X0,X1)) ),
inference(cnf_transformation,[],[f56]) ).
fof(f108,plain,
( ~ spl13_1
| spl13_2
| spl13_3 ),
inference(avatar_split_clause,[],[f93,f105,f101,f97]) ).
fof(f93,plain,
( member(sK5(sK10,sK8),sK10)
| sP0(sK8,sK10)
| ~ apply(sK8,sK4(sK10,sK8),sK4(sK10,sK8)) ),
inference(resolution,[],[f87,f76]) ).
fof(f76,plain,
! [X0,X1] :
( sP0(X1,X0)
| member(sK5(X0,X1),X0)
| ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
| equivalence(X1,X0) ),
inference(cnf_transformation,[],[f56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET771+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 14:13:34 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.35 ipcrm: permission denied for id (720830468)
% 0.13/0.35 ipcrm: permission denied for id (720863238)
% 0.13/0.35 ipcrm: permission denied for id (720896007)
% 0.13/0.35 ipcrm: permission denied for id (720928776)
% 0.13/0.35 ipcrm: permission denied for id (720961545)
% 0.13/0.36 ipcrm: permission denied for id (721059853)
% 0.13/0.36 ipcrm: permission denied for id (721125394)
% 0.13/0.37 ipcrm: permission denied for id (721190940)
% 0.19/0.38 ipcrm: permission denied for id (721256479)
% 0.19/0.39 ipcrm: permission denied for id (721518636)
% 0.19/0.40 ipcrm: permission denied for id (721551408)
% 0.19/0.40 ipcrm: permission denied for id (721584178)
% 0.19/0.41 ipcrm: permission denied for id (721682487)
% 0.19/0.41 ipcrm: permission denied for id (721780796)
% 0.19/0.42 ipcrm: permission denied for id (721911872)
% 0.19/0.42 ipcrm: permission denied for id (721944641)
% 0.19/0.42 ipcrm: permission denied for id (722010180)
% 0.19/0.43 ipcrm: permission denied for id (722174025)
% 0.19/0.43 ipcrm: permission denied for id (722206794)
% 0.19/0.43 ipcrm: permission denied for id (722272332)
% 0.19/0.43 ipcrm: permission denied for id (722337870)
% 0.19/0.44 ipcrm: permission denied for id (722436179)
% 0.19/0.44 ipcrm: permission denied for id (722501717)
% 0.19/0.44 ipcrm: permission denied for id (722534488)
% 0.19/0.45 ipcrm: permission denied for id (722600030)
% 0.19/0.45 ipcrm: permission denied for id (722632799)
% 0.19/0.47 ipcrm: permission denied for id (722665579)
% 0.19/0.47 ipcrm: permission denied for id (722731118)
% 0.19/0.47 ipcrm: permission denied for id (722796658)
% 0.19/0.48 ipcrm: permission denied for id (722862196)
% 0.19/0.48 ipcrm: permission denied for id (722894966)
% 0.19/0.48 ipcrm: permission denied for id (722927737)
% 0.19/0.49 ipcrm: permission denied for id (722993276)
% 0.19/0.49 ipcrm: permission denied for id (723026045)
% 0.19/0.49 ipcrm: permission denied for id (723058815)
% 0.70/0.62 % (3383)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 0.70/0.63 % (3397)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/11Mi)
% 0.70/0.64 % (3390)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/16Mi)
% 0.70/0.64 % (3405)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/25Mi)
% 0.70/0.64 % (3386)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/49Mi)
% 1.35/0.65 % (3382)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/13Mi)
% 1.35/0.65 % (3383)Instruction limit reached!
% 1.35/0.65 % (3383)------------------------------
% 1.35/0.65 % (3383)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.65 % (3383)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.65 % (3383)Termination reason: Unknown
% 1.35/0.65 % (3383)Termination phase: Saturation
% 1.35/0.65
% 1.35/0.65 % (3383)Memory used [KB]: 1663
% 1.35/0.65 % (3383)Time elapsed: 0.121 s
% 1.35/0.65 % (3383)Instructions burned: 15 (million)
% 1.35/0.65 % (3383)------------------------------
% 1.35/0.65 % (3383)------------------------------
% 1.35/0.65 % (3378)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99978Mi)
% 1.35/0.65 % (3381)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.35/0.65 % (3394)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.35/0.66 % (3400)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/82Mi)
% 1.35/0.66 % (3397)Instruction limit reached!
% 1.35/0.66 % (3397)------------------------------
% 1.35/0.66 % (3397)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.66 % (3397)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.66 % (3397)Termination reason: Unknown
% 1.35/0.66 % (3397)Termination phase: Saturation
% 1.35/0.66
% 1.35/0.66 % (3397)Memory used [KB]: 6140
% 1.35/0.66 % (3397)Time elapsed: 0.131 s
% 1.35/0.66 % (3397)Instructions burned: 11 (million)
% 1.35/0.66 % (3397)------------------------------
% 1.35/0.66 % (3397)------------------------------
% 1.35/0.66 % (3385)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 1.35/0.66 % (3390)Instruction limit reached!
% 1.35/0.66 % (3390)------------------------------
% 1.35/0.66 % (3390)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.66 % (3390)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.66 % (3390)Termination reason: Unknown
% 1.35/0.66 % (3390)Termination phase: Saturation
% 1.35/0.66
% 1.35/0.66 % (3390)Memory used [KB]: 1791
% 1.35/0.66 % (3390)Time elapsed: 0.134 s
% 1.35/0.66 % (3390)Instructions burned: 16 (million)
% 1.35/0.66 % (3390)------------------------------
% 1.35/0.66 % (3390)------------------------------
% 1.35/0.67 % (3392)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.35/0.67 % (3381)Refutation not found, incomplete strategy% (3381)------------------------------
% 1.35/0.67 % (3381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.67 % (3381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.67 % (3381)Termination reason: Refutation not found, incomplete strategy
% 1.35/0.67
% 1.35/0.67 % (3381)Memory used [KB]: 6012
% 1.35/0.67 % (3381)Time elapsed: 0.119 s
% 1.35/0.67 % (3381)Instructions burned: 2 (million)
% 1.35/0.67 % (3381)------------------------------
% 1.35/0.67 % (3381)------------------------------
% 1.35/0.67 % (3405)Instruction limit reached!
% 1.35/0.67 % (3405)------------------------------
% 1.35/0.67 % (3405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.67 % (3405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.67 % (3405)Termination reason: Unknown
% 1.35/0.67 % (3405)Termination phase: Saturation
% 1.35/0.67
% 1.35/0.67 % (3405)Memory used [KB]: 6524
% 1.35/0.67 % (3405)Time elapsed: 0.128 s
% 1.35/0.67 % (3405)Instructions burned: 25 (million)
% 1.35/0.67 % (3405)------------------------------
% 1.35/0.67 % (3405)------------------------------
% 1.35/0.67 % (3380)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.35/0.67 % (3407)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/24Mi)
% 1.35/0.67 % (3380)Instruction limit reached!
% 1.35/0.67 % (3380)------------------------------
% 1.35/0.67 % (3380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.67 % (3380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.67 % (3380)Termination reason: Unknown
% 1.35/0.67 % (3380)Termination phase: Saturation
% 1.35/0.67
% 1.35/0.67 % (3380)Memory used [KB]: 1535
% 1.35/0.67 % (3380)Time elapsed: 0.003 s
% 1.35/0.67 % (3380)Instructions burned: 5 (million)
% 1.35/0.67 % (3380)------------------------------
% 1.35/0.67 % (3380)------------------------------
% 1.35/0.68 % (3401)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/45Mi)
% 1.35/0.68 % (3379)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/13Mi)
% 1.35/0.68 % (3382)Instruction limit reached!
% 1.35/0.68 % (3382)------------------------------
% 1.35/0.68 % (3382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.68 % (3382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.68 % (3382)Termination reason: Unknown
% 1.35/0.68 % (3382)Termination phase: Saturation
% 1.35/0.68
% 1.35/0.68 % (3382)Memory used [KB]: 6140
% 1.35/0.68 % (3382)Time elapsed: 0.117 s
% 1.35/0.68 % (3382)Instructions burned: 14 (million)
% 1.35/0.68 % (3382)------------------------------
% 1.35/0.68 % (3382)------------------------------
% 1.58/0.68 % (3399)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.58/0.68 % (3393)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.58/0.68 % (3396)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.58/0.68 % (3391)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.58/0.68 % (3395)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.58/0.69 % (3388)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/12Mi)
% 1.58/0.69 % (3391)Refutation not found, incomplete strategy% (3391)------------------------------
% 1.58/0.69 % (3391)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.69 % (3391)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.69 % (3391)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.69
% 1.58/0.69 % (3391)Memory used [KB]: 6012
% 1.58/0.69 % (3391)Time elapsed: 0.143 s
% 1.58/0.69 % (3391)Instructions burned: 2 (million)
% 1.58/0.69 % (3391)------------------------------
% 1.58/0.69 % (3391)------------------------------
% 1.58/0.69 % (3395)Instruction limit reached!
% 1.58/0.69 % (3395)------------------------------
% 1.58/0.69 % (3395)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.69 % (3395)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.69 % (3395)Termination reason: Unknown
% 1.58/0.69 % (3395)Termination phase: Property scanning
% 1.58/0.69
% 1.58/0.69 % (3395)Memory used [KB]: 1535
% 1.58/0.69 % (3395)Time elapsed: 0.003 s
% 1.58/0.69 % (3395)Instructions burned: 4 (million)
% 1.58/0.69 % (3395)------------------------------
% 1.58/0.69 % (3395)------------------------------
% 1.58/0.69 % (3401)Refutation not found, incomplete strategy% (3401)------------------------------
% 1.58/0.69 % (3401)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.69 % (3401)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.69 % (3401)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.69
% 1.58/0.69 % (3401)Memory used [KB]: 1535
% 1.58/0.69 % (3401)Time elapsed: 0.129 s
% 1.58/0.69 % (3401)Instructions burned: 3 (million)
% 1.58/0.69 % (3401)------------------------------
% 1.58/0.69 % (3401)------------------------------
% 1.58/0.69 % (3406)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/8Mi)
% 1.58/0.69 % (3389)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.58/0.69 % (3387)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/33Mi)
% 1.58/0.69 % (3393)Instruction limit reached!
% 1.58/0.69 % (3393)------------------------------
% 1.58/0.69 % (3393)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.69 % (3393)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.69 % (3393)Termination reason: Unknown
% 1.58/0.69 % (3393)Termination phase: Saturation
% 1.58/0.69
% 1.58/0.69 % (3393)Memory used [KB]: 6140
% 1.58/0.69 % (3393)Time elapsed: 0.130 s
% 1.58/0.69 % (3393)Instructions burned: 7 (million)
% 1.58/0.69 % (3393)------------------------------
% 1.58/0.69 % (3393)------------------------------
% 1.58/0.69 % (3388)Refutation not found, incomplete strategy% (3388)------------------------------
% 1.58/0.69 % (3388)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.69 % (3388)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.69 % (3388)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.69
% 1.58/0.69 % (3388)Memory used [KB]: 6140
% 1.58/0.69 % (3388)Time elapsed: 0.147 s
% 1.58/0.69 % (3388)Instructions burned: 10 (million)
% 1.58/0.69 % (3388)------------------------------
% 1.58/0.69 % (3388)------------------------------
% 1.58/0.69 % (3389)Refutation not found, incomplete strategy% (3389)------------------------------
% 1.58/0.69 % (3389)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.69 % (3389)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.69 % (3389)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.69
% 1.58/0.69 % (3389)Memory used [KB]: 6012
% 1.58/0.69 % (3389)Time elapsed: 0.150 s
% 1.58/0.69 % (3389)Instructions burned: 2 (million)
% 1.58/0.69 % (3389)------------------------------
% 1.58/0.69 % (3389)------------------------------
% 1.58/0.69 % (3392)Instruction limit reached!
% 1.58/0.69 % (3392)------------------------------
% 1.58/0.69 % (3392)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.69 % (3392)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.69 % (3392)Termination reason: Unknown
% 1.58/0.69 % (3392)Termination phase: Saturation
% 1.58/0.69
% 1.58/0.69 % (3392)Memory used [KB]: 1535
% 1.58/0.69 % (3392)Time elapsed: 0.004 s
% 1.58/0.69 % (3392)Instructions burned: 4 (million)
% 1.58/0.69 % (3392)------------------------------
% 1.58/0.69 % (3392)------------------------------
% 1.58/0.69 % (3404)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.58/0.69 % (3387)Refutation not found, incomplete strategy% (3387)------------------------------
% 1.58/0.69 % (3387)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.69 % (3387)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.69 % (3387)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.69
% 1.58/0.69 % (3387)Memory used [KB]: 6012
% 1.58/0.69 % (3387)Time elapsed: 0.152 s
% 1.58/0.69 % (3387)Instructions burned: 3 (million)
% 1.58/0.69 % (3387)------------------------------
% 1.58/0.69 % (3387)------------------------------
% 1.58/0.69 % (3384)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 1.58/0.69 % (3403)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/95Mi)
% 1.58/0.69 % (3398)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 1.58/0.70 % (3385)First to succeed.
% 1.58/0.70 % (3407)Instruction limit reached!
% 1.58/0.70 % (3407)------------------------------
% 1.58/0.70 % (3407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.70 % (3407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.70 % (3407)Termination reason: Unknown
% 1.58/0.70 % (3407)Termination phase: Saturation
% 1.58/0.70
% 1.58/0.70 % (3407)Memory used [KB]: 6268
% 1.58/0.70 % (3407)Time elapsed: 0.140 s
% 1.58/0.70 % (3407)Instructions burned: 24 (million)
% 1.58/0.70 % (3407)------------------------------
% 1.58/0.70 % (3407)------------------------------
% 1.58/0.71 % (3406)Instruction limit reached!
% 1.58/0.71 % (3406)------------------------------
% 1.58/0.71 % (3406)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.71 % (3406)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.71 % (3406)Termination reason: Unknown
% 1.58/0.71 % (3406)Termination phase: Saturation
% 1.58/0.71
% 1.58/0.71 % (3406)Memory used [KB]: 6140
% 1.58/0.71 % (3406)Time elapsed: 0.118 s
% 1.58/0.71 % (3406)Instructions burned: 9 (million)
% 1.58/0.71 % (3406)------------------------------
% 1.58/0.71 % (3406)------------------------------
% 1.58/0.71 % (3396)Instruction limit reached!
% 1.58/0.71 % (3396)------------------------------
% 1.58/0.71 % (3396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.71 % (3396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.71 % (3396)Termination reason: Unknown
% 1.58/0.71 % (3396)Termination phase: Saturation
% 1.58/0.71
% 1.58/0.71 % (3396)Memory used [KB]: 6012
% 1.58/0.71 % (3396)Time elapsed: 0.004 s
% 1.58/0.71 % (3396)Instructions burned: 3 (million)
% 1.58/0.71 % (3396)------------------------------
% 1.58/0.71 % (3396)------------------------------
% 1.58/0.71 % (3402)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.58/0.71 % (3385)Refutation found. Thanks to Tanya!
% 1.58/0.71 % SZS status Theorem for theBenchmark
% 1.58/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 1.58/0.71 % (3385)------------------------------
% 1.58/0.71 % (3385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.71 % (3385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.71 % (3385)Termination reason: Refutation
% 1.58/0.71
% 1.58/0.71 % (3385)Memory used [KB]: 6396
% 1.58/0.71 % (3385)Time elapsed: 0.132 s
% 1.58/0.71 % (3385)Instructions burned: 24 (million)
% 1.58/0.71 % (3385)------------------------------
% 1.58/0.71 % (3385)------------------------------
% 1.58/0.71 % (3243)Success in time 0.36 s
%------------------------------------------------------------------------------