TSTP Solution File: LCL487+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL487+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 : n012.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 17:48:30 EDT 2022
% Result : Theorem 2.74s 0.78s
% Output : Refutation 2.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 44
% Syntax : Number of formulae : 198 ( 44 unt; 0 def)
% Number of atoms : 507 ( 50 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 568 ( 259 ~; 251 |; 2 &)
% ( 32 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 33 ( 31 usr; 31 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 286 ( 280 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2740,plain,
$false,
inference(avatar_sat_refutation,[],[f136,f144,f152,f160,f168,f177,f178,f179,f181,f191,f192,f200,f201,f206,f207,f208,f958,f2737]) ).
fof(f2737,plain,
( ~ spl2_1
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9
| ~ spl2_11
| ~ spl2_14
| ~ spl2_16
| ~ spl2_19 ),
inference(avatar_contradiction_clause,[],[f2729]) ).
fof(f2729,plain,
( $false
| ~ spl2_1
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9
| ~ spl2_11
| ~ spl2_14
| ~ spl2_16
| ~ spl2_19 ),
inference(resolution,[],[f2446,f223]) ).
fof(f223,plain,
( ~ is_a_theorem(implies(not(implies(sK0,not(sK1))),sK0))
| ~ spl2_1
| ~ spl2_14
| ~ spl2_16 ),
inference(backward_demodulation,[],[f209,f222]) ).
fof(f222,plain,
( ! [X0,X1] : and(X1,X0) = not(implies(X1,not(X0)))
| ~ spl2_1
| ~ spl2_14
| ~ spl2_16 ),
inference(forward_demodulation,[],[f221,f220]) ).
fof(f220,plain,
( ! [X0,X1] : implies(X0,X1) = implies(not(not(X0)),X1)
| ~ spl2_1
| ~ spl2_14 ),
inference(forward_demodulation,[],[f190,f211]) ).
fof(f211,plain,
( ! [X0,X1] : or(X0,X1) = implies(not(X0),X1)
| ~ spl2_1 ),
inference(backward_demodulation,[],[f202,f131]) ).
fof(f131,plain,
( ! [X0,X1] : implies(X1,X0) = not(and(X1,not(X0)))
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f130,plain,
( spl2_1
<=> ! [X0,X1] : implies(X1,X0) = not(and(X1,not(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f202,plain,
! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))),
inference(subsumption_resolution,[],[f109,f110]) ).
fof(f110,plain,
op_or,
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
op_or,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_or) ).
fof(f109,plain,
! [X0,X1] :
( or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
( ! [X1,X0] : not(and(not(X1),not(X0))) = or(X1,X0)
| ~ op_or ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,plain,
( op_or
=> ! [X1,X0] : not(and(not(X1),not(X0))) = or(X1,X0) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
( op_or
=> ! [X1,X0] : or(X0,X1) = not(and(not(X0),not(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_or) ).
fof(f190,plain,
( ! [X0,X1] : implies(X0,X1) = or(not(X0),X1)
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f189,plain,
( spl2_14
<=> ! [X0,X1] : implies(X0,X1) = or(not(X0),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).
fof(f221,plain,
( ! [X0,X1] : and(X1,X0) = not(implies(not(not(X1)),not(X0)))
| ~ spl2_1
| ~ spl2_16 ),
inference(forward_demodulation,[],[f199,f211]) ).
fof(f199,plain,
( ! [X0,X1] : not(or(not(X1),not(X0))) = and(X1,X0)
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f198,plain,
( spl2_16
<=> ! [X0,X1] : not(or(not(X1),not(X0))) = and(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_16])]) ).
fof(f209,plain,
~ is_a_theorem(implies(and(sK0,sK1),sK0)),
inference(subsumption_resolution,[],[f119,f107]) ).
fof(f107,plain,
~ and_1,
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
~ and_1,
inference(flattening,[],[f46]) ).
fof(f46,negated_conjecture,
~ and_1,
inference(negated_conjecture,[],[f45]) ).
fof(f45,conjecture,
and_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_and_1) ).
fof(f119,plain,
( ~ is_a_theorem(implies(and(sK0,sK1),sK0))
| and_1 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ~ is_a_theorem(implies(and(sK0,sK1),sK0))
| and_1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f98,f99]) ).
fof(f99,plain,
( ? [X0,X1] : ~ is_a_theorem(implies(and(X0,X1),X0))
=> ~ is_a_theorem(implies(and(sK0,sK1),sK0)) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
( ? [X0,X1] : ~ is_a_theorem(implies(and(X0,X1),X0))
| and_1 ),
inference(rectify,[],[f90]) ).
fof(f90,plain,
( ? [X1,X0] : ~ is_a_theorem(implies(and(X1,X0),X1))
| and_1 ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X1,X0),X1))
=> and_1 ),
inference(unused_predicate_definition_removal,[],[f68]) ).
fof(f68,plain,
( and_1
<=> ! [X0,X1] : is_a_theorem(implies(and(X1,X0),X1)) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
( ! [X1,X0] : is_a_theorem(implies(and(X0,X1),X0))
<=> and_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_1) ).
fof(f2446,plain,
( ! [X26,X25] : is_a_theorem(implies(not(implies(X25,X26)),X25))
| ~ spl2_1
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9
| ~ spl2_11
| ~ spl2_14
| ~ spl2_16
| ~ spl2_19 ),
inference(forward_demodulation,[],[f2443,f1663]) ).
fof(f1663,plain,
( ! [X0] : not(not(X0)) = X0
| ~ spl2_1
| ~ spl2_4
| ~ spl2_11
| ~ spl2_14
| ~ spl2_16
| ~ spl2_19 ),
inference(subsumption_resolution,[],[f1651,f1212]) ).
fof(f1212,plain,
( ! [X0] : is_a_theorem(implies(X0,X0))
| ~ spl2_1
| ~ spl2_11
| ~ spl2_14
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1204,f220]) ).
fof(f1204,plain,
( ! [X0] : is_a_theorem(implies(not(not(X0)),X0))
| ~ spl2_1
| ~ spl2_11
| ~ spl2_19 ),
inference(resolution,[],[f950,f238]) ).
fof(f238,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),X1))
| is_a_theorem(implies(not(X1),X0)) )
| ~ spl2_1
| ~ spl2_11 ),
inference(resolution,[],[f213,f172]) ).
fof(f172,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) )
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f171,plain,
( spl2_11
<=> ! [X0,X1] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).
fof(f213,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(not(X1),X0)))
| ~ spl2_1 ),
inference(forward_demodulation,[],[f210,f131]) ).
fof(f210,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),not(and(not(X1),not(X0)))))
| ~ spl2_1 ),
inference(backward_demodulation,[],[f205,f131]) ).
fof(f205,plain,
! [X0,X1] : is_a_theorem(implies(not(and(not(X0),not(X1))),not(and(not(X1),not(X0))))),
inference(forward_demodulation,[],[f204,f202]) ).
fof(f204,plain,
! [X0,X1] : is_a_theorem(implies(not(and(not(X0),not(X1))),or(X1,X0))),
inference(backward_demodulation,[],[f182,f202]) ).
fof(f182,plain,
! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0))),
inference(subsumption_resolution,[],[f122,f116]) ).
fof(f116,plain,
r3,
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
r3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_r3) ).
fof(f122,plain,
! [X0,X1] :
( is_a_theorem(implies(or(X0,X1),or(X1,X0)))
| ~ r3 ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0)))
| ~ r3 ),
inference(rectify,[],[f81]) ).
fof(f81,plain,
( ! [X1,X0] : is_a_theorem(implies(or(X1,X0),or(X0,X1)))
| ~ r3 ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,plain,
( r3
=> ! [X1,X0] : is_a_theorem(implies(or(X1,X0),or(X0,X1))) ),
inference(unused_predicate_definition_removal,[],[f67]) ).
fof(f67,plain,
( ! [X1,X0] : is_a_theorem(implies(or(X1,X0),or(X0,X1)))
<=> r3 ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
( ! [X4,X3] : is_a_theorem(implies(or(X3,X4),or(X4,X3)))
<=> r3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r3) ).
fof(f950,plain,
( ! [X7] : is_a_theorem(implies(not(X7),not(X7)))
| ~ spl2_19 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f949,plain,
( spl2_19
<=> ! [X7] : is_a_theorem(implies(not(X7),not(X7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_19])]) ).
fof(f1651,plain,
( ! [X0] :
( ~ is_a_theorem(implies(X0,X0))
| not(not(X0)) = X0 )
| ~ spl2_1
| ~ spl2_4
| ~ spl2_11
| ~ spl2_14
| ~ spl2_16 ),
inference(resolution,[],[f1514,f272]) ).
fof(f272,plain,
( ! [X0,X1] :
( ~ is_a_theorem(not(implies(implies(X1,X0),not(implies(X0,X1)))))
| not(not(X0)) = X1 )
| ~ spl2_1
| ~ spl2_4
| ~ spl2_14
| ~ spl2_16 ),
inference(forward_demodulation,[],[f271,f244]) ).
fof(f244,plain,
( ! [X2,X0,X1] : implies(implies(X0,not(not(X1))),X2) = implies(implies(X0,X1),X2)
| ~ spl2_1
| ~ spl2_14
| ~ spl2_16 ),
inference(superposition,[],[f220,f224]) ).
fof(f224,plain,
( ! [X0,X1] : implies(X1,X0) = not(not(implies(X1,not(not(X0)))))
| ~ spl2_1
| ~ spl2_14
| ~ spl2_16 ),
inference(backward_demodulation,[],[f131,f222]) ).
fof(f271,plain,
( ! [X0,X1] :
( ~ is_a_theorem(not(implies(implies(X1,not(not(X0))),not(implies(X0,X1)))))
| not(not(X0)) = X1 )
| ~ spl2_1
| ~ spl2_4
| ~ spl2_14
| ~ spl2_16 ),
inference(superposition,[],[f226,f220]) ).
fof(f226,plain,
( ! [X0,X1] :
( ~ is_a_theorem(not(implies(implies(X1,X0),not(implies(X0,X1)))))
| X0 = X1 )
| ~ spl2_1
| ~ spl2_4
| ~ spl2_14
| ~ spl2_16 ),
inference(backward_demodulation,[],[f183,f225]) ).
fof(f225,plain,
( ! [X0,X1] : not(implies(implies(X1,X0),not(implies(X0,X1)))) = equiv(X1,X0)
| ~ spl2_1
| ~ spl2_4
| ~ spl2_14
| ~ spl2_16 ),
inference(backward_demodulation,[],[f143,f222]) ).
fof(f143,plain,
( ! [X0,X1] : and(implies(X1,X0),implies(X0,X1)) = equiv(X1,X0)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f142,plain,
( spl2_4
<=> ! [X0,X1] : and(implies(X1,X0),implies(X0,X1)) = equiv(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f183,plain,
! [X0,X1] :
( ~ is_a_theorem(equiv(X1,X0))
| X0 = X1 ),
inference(subsumption_resolution,[],[f112,f106]) ).
fof(f106,plain,
substitution_of_equivalents,
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
substitution_of_equivalents,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',substitution_of_equivalents) ).
fof(f112,plain,
! [X0,X1] :
( ~ substitution_of_equivalents
| ~ is_a_theorem(equiv(X1,X0))
| X0 = X1 ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ! [X0,X1] :
( ~ is_a_theorem(equiv(X1,X0))
| X0 = X1 )
| ~ substitution_of_equivalents ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,plain,
( substitution_of_equivalents
=> ! [X0,X1] :
( is_a_theorem(equiv(X1,X0))
=> X0 = X1 ) ),
inference(unused_predicate_definition_removal,[],[f69]) ).
fof(f69,plain,
( ! [X0,X1] :
( is_a_theorem(equiv(X1,X0))
=> X0 = X1 )
<=> substitution_of_equivalents ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
( ! [X1,X0] :
( is_a_theorem(equiv(X0,X1))
=> X0 = X1 )
<=> substitution_of_equivalents ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',substitution_of_equivalents) ).
fof(f1514,plain,
( ! [X2] :
( is_a_theorem(not(implies(X2,not(X2))))
| ~ is_a_theorem(X2) )
| ~ spl2_1
| ~ spl2_11
| ~ spl2_14 ),
inference(resolution,[],[f1459,f172]) ).
fof(f1459,plain,
( ! [X36] : is_a_theorem(implies(X36,not(implies(X36,not(X36)))))
| ~ spl2_1
| ~ spl2_11
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1433,f220]) ).
fof(f1433,plain,
( ! [X36] : is_a_theorem(implies(not(not(X36)),not(implies(X36,not(X36)))))
| ~ spl2_1
| ~ spl2_11
| ~ spl2_14 ),
inference(resolution,[],[f316,f231]) ).
fof(f231,plain,
( ! [X1] : is_a_theorem(implies(implies(X1,not(X1)),not(X1)))
| ~ spl2_1
| ~ spl2_14 ),
inference(superposition,[],[f212,f220]) ).
fof(f212,plain,
( ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0))
| ~ spl2_1 ),
inference(backward_demodulation,[],[f203,f131]) ).
fof(f203,plain,
! [X0] : is_a_theorem(implies(not(and(not(X0),not(X0))),X0)),
inference(backward_demodulation,[],[f180,f202]) ).
fof(f180,plain,
! [X0] : is_a_theorem(implies(or(X0,X0),X0)),
inference(subsumption_resolution,[],[f103,f113]) ).
fof(f113,plain,
r1,
inference(cnf_transformation,[],[f36]) ).
fof(f36,axiom,
r1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_r1) ).
fof(f103,plain,
! [X0] :
( ~ r1
| is_a_theorem(implies(or(X0,X0),X0)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
( ~ r1
| ! [X0] : is_a_theorem(implies(or(X0,X0),X0)) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,plain,
( r1
=> ! [X0] : is_a_theorem(implies(or(X0,X0),X0)) ),
inference(unused_predicate_definition_removal,[],[f52]) ).
fof(f52,plain,
( ! [X0] : is_a_theorem(implies(or(X0,X0),X0))
<=> r1 ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
( r1
<=> ! [X3] : is_a_theorem(implies(or(X3,X3),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r1) ).
fof(f316,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(not(X1),not(X0))) )
| ~ spl2_1
| ~ spl2_11
| ~ spl2_14 ),
inference(superposition,[],[f238,f220]) ).
fof(f2443,plain,
( ! [X26,X25] : is_a_theorem(implies(not(implies(not(not(X25)),X26)),X25))
| ~ spl2_1
| ~ spl2_8
| ~ spl2_9
| ~ spl2_11
| ~ spl2_14
| ~ spl2_16 ),
inference(resolution,[],[f2397,f238]) ).
fof(f2397,plain,
( ! [X2,X1] : is_a_theorem(implies(X1,implies(not(X1),X2)))
| ~ spl2_1
| ~ spl2_8
| ~ spl2_9
| ~ spl2_11
| ~ spl2_14
| ~ spl2_16 ),
inference(resolution,[],[f2081,f213]) ).
fof(f2081,plain,
( ! [X31,X32,X30] :
( ~ is_a_theorem(implies(implies(X32,X30),X31))
| is_a_theorem(implies(X30,X31)) )
| ~ spl2_1
| ~ spl2_8
| ~ spl2_9
| ~ spl2_11
| ~ spl2_14
| ~ spl2_16 ),
inference(resolution,[],[f307,f358]) ).
fof(f358,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,X0),implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl2_1
| ~ spl2_8
| ~ spl2_11
| ~ spl2_14 ),
inference(resolution,[],[f280,f172]) ).
fof(f280,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X1,X2),implies(implies(X0,X1),implies(X0,X2))))
| ~ spl2_1
| ~ spl2_8
| ~ spl2_14 ),
inference(forward_demodulation,[],[f276,f220]) ).
fof(f276,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X1,X2),implies(implies(X0,X1),implies(not(not(X0)),X2))))
| ~ spl2_1
| ~ spl2_8
| ~ spl2_14 ),
inference(superposition,[],[f219,f220]) ).
fof(f219,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X2),X0),implies(not(X2),X1))))
| ~ spl2_1
| ~ spl2_8 ),
inference(forward_demodulation,[],[f218,f211]) ).
fof(f218,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(or(X2,X0),implies(not(X2),X1))))
| ~ spl2_1
| ~ spl2_8 ),
inference(forward_demodulation,[],[f159,f211]) ).
fof(f159,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))))
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f158,plain,
( spl2_8
<=> ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).
fof(f307,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))
| is_a_theorem(X2) )
| ~ spl2_1
| ~ spl2_9
| ~ spl2_11
| ~ spl2_14
| ~ spl2_16 ),
inference(resolution,[],[f252,f234]) ).
fof(f234,plain,
( ! [X6,X7] :
( ~ is_a_theorem(not(not(X6)))
| ~ is_a_theorem(implies(X6,X7))
| is_a_theorem(X7) )
| ~ spl2_1
| ~ spl2_11
| ~ spl2_14 ),
inference(superposition,[],[f172,f220]) ).
fof(f252,plain,
( ! [X0,X1] : is_a_theorem(not(not(implies(X0,implies(X1,X0)))))
| ~ spl2_1
| ~ spl2_9
| ~ spl2_14
| ~ spl2_16 ),
inference(backward_demodulation,[],[f237,f242]) ).
fof(f242,plain,
( ! [X2,X0,X1] : implies(X2,implies(X0,not(not(X1)))) = not(not(implies(X2,implies(X0,X1))))
| ~ spl2_1
| ~ spl2_14
| ~ spl2_16 ),
inference(superposition,[],[f224,f224]) ).
fof(f237,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,not(not(X0)))))
| ~ spl2_1
| ~ spl2_9
| ~ spl2_14 ),
inference(superposition,[],[f232,f220]) ).
fof(f232,plain,
( ! [X2,X3] : is_a_theorem(implies(X3,implies(X2,X3)))
| ~ spl2_1
| ~ spl2_9
| ~ spl2_14 ),
inference(superposition,[],[f227,f220]) ).
fof(f227,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X1),X0)))
| ~ spl2_1
| ~ spl2_9 ),
inference(forward_demodulation,[],[f163,f211]) ).
fof(f163,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,or(X1,X0)))
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f162,plain,
( spl2_9
<=> ! [X0,X1] : is_a_theorem(implies(X0,or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
fof(f958,plain,
( spl2_19
| ~ spl2_1
| ~ spl2_6
| ~ spl2_9
| ~ spl2_11 ),
inference(avatar_split_clause,[],[f938,f171,f162,f150,f130,f949]) ).
fof(f150,plain,
( spl2_6
<=> ! [X2,X0,X1] : is_a_theorem(implies(or(X2,or(X0,X1)),or(X0,or(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f938,plain,
( ! [X3] : is_a_theorem(implies(not(X3),not(X3)))
| ~ spl2_1
| ~ spl2_6
| ~ spl2_9
| ~ spl2_11 ),
inference(resolution,[],[f919,f228]) ).
fof(f228,plain,
( ! [X0] :
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) )
| ~ spl2_1
| ~ spl2_11 ),
inference(resolution,[],[f172,f212]) ).
fof(f919,plain,
( ! [X14,X13] : is_a_theorem(implies(not(X13),implies(not(X14),not(X14))))
| ~ spl2_1
| ~ spl2_6
| ~ spl2_9
| ~ spl2_11 ),
inference(resolution,[],[f282,f227]) ).
fof(f282,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(not(X0),implies(not(X1),X2)))
| is_a_theorem(implies(not(X1),implies(not(X0),X2))) )
| ~ spl2_1
| ~ spl2_6
| ~ spl2_11 ),
inference(resolution,[],[f217,f172]) ).
fof(f217,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(not(X2),implies(not(X0),X1)),implies(not(X0),implies(not(X2),X1))))
| ~ spl2_1
| ~ spl2_6 ),
inference(forward_demodulation,[],[f216,f211]) ).
fof(f216,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(not(X2),or(X0,X1)),implies(not(X0),implies(not(X2),X1))))
| ~ spl2_1
| ~ spl2_6 ),
inference(forward_demodulation,[],[f215,f211]) ).
fof(f215,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(or(X2,or(X0,X1)),implies(not(X0),implies(not(X2),X1))))
| ~ spl2_1
| ~ spl2_6 ),
inference(forward_demodulation,[],[f214,f211]) ).
fof(f214,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(or(X2,or(X0,X1)),implies(not(X0),or(X2,X1))))
| ~ spl2_1
| ~ spl2_6 ),
inference(forward_demodulation,[],[f151,f211]) ).
fof(f151,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(or(X2,or(X0,X1)),or(X0,or(X2,X1))))
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f208,plain,
spl2_3,
inference(avatar_split_clause,[],[f127,f138]) ).
fof(f138,plain,
( spl2_3
<=> op_equiv ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f127,plain,
op_equiv,
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
op_equiv,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_op_equiv) ).
fof(f207,plain,
spl2_15,
inference(avatar_split_clause,[],[f124,f194]) ).
fof(f194,plain,
( spl2_15
<=> op_and ),
introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).
fof(f124,plain,
op_and,
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
op_and,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_op_and) ).
fof(f206,plain,
spl2_2,
inference(avatar_split_clause,[],[f126,f133]) ).
fof(f133,plain,
( spl2_2
<=> op_implies_and ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f126,plain,
op_implies_and,
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
op_implies_and,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_implies_and) ).
fof(f201,plain,
spl2_13,
inference(avatar_split_clause,[],[f123,f185]) ).
fof(f185,plain,
( spl2_13
<=> op_implies_or ),
introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).
fof(f123,plain,
op_implies_or,
inference(cnf_transformation,[],[f32]) ).
fof(f32,axiom,
op_implies_or,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_op_implies_or) ).
fof(f200,plain,
( ~ spl2_15
| spl2_16 ),
inference(avatar_split_clause,[],[f105,f198,f194]) ).
fof(f105,plain,
! [X0,X1] :
( not(or(not(X1),not(X0))) = and(X1,X0)
| ~ op_and ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( ~ op_and
| ! [X0,X1] : not(or(not(X1),not(X0))) = and(X1,X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
( op_and
=> ! [X0,X1] : not(or(not(X1),not(X0))) = and(X1,X0) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
( op_and
=> ! [X1,X0] : and(X0,X1) = not(or(not(X0),not(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_and) ).
fof(f192,plain,
spl2_5,
inference(avatar_split_clause,[],[f115,f146]) ).
fof(f146,plain,
( spl2_5
<=> r4 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f115,plain,
r4,
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
r4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_r4) ).
fof(f191,plain,
( ~ spl2_13
| spl2_14 ),
inference(avatar_split_clause,[],[f114,f189,f185]) ).
fof(f114,plain,
! [X0,X1] :
( implies(X0,X1) = or(not(X0),X1)
| ~ op_implies_or ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( ! [X0,X1] : implies(X0,X1) = or(not(X0),X1)
| ~ op_implies_or ),
inference(rectify,[],[f86]) ).
fof(f86,plain,
( ! [X1,X0] : implies(X1,X0) = or(not(X1),X0)
| ~ op_implies_or ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
( op_implies_or
=> ! [X1,X0] : implies(X1,X0) = or(not(X1),X0) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
( op_implies_or
=> ! [X1,X0] : implies(X0,X1) = or(not(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_implies_or) ).
fof(f181,plain,
spl2_7,
inference(avatar_split_clause,[],[f128,f154]) ).
fof(f154,plain,
( spl2_7
<=> r5 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f128,plain,
r5,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
r5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_r5) ).
fof(f179,plain,
spl2_12,
inference(avatar_split_clause,[],[f120,f174]) ).
fof(f174,plain,
( spl2_12
<=> modus_ponens ),
introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).
fof(f120,plain,
modus_ponens,
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
modus_ponens,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_modus_ponens) ).
fof(f178,plain,
spl2_10,
inference(avatar_split_clause,[],[f111,f165]) ).
fof(f165,plain,
( spl2_10
<=> r2 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
fof(f111,plain,
r2,
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
r2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_r2) ).
fof(f177,plain,
( spl2_11
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f104,f174,f171]) ).
fof(f104,plain,
! [X0,X1] :
( ~ modus_ponens
| ~ is_a_theorem(X0)
| is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
( ~ modus_ponens
| ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
( ! [X1,X0] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) )
| ~ modus_ponens ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,plain,
( modus_ponens
=> ! [X1,X0] :
( ( is_a_theorem(X0)
& is_a_theorem(implies(X0,X1)) )
=> is_a_theorem(X1) ) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f1,axiom,
( modus_ponens
<=> ! [X1,X0] :
( ( is_a_theorem(X0)
& is_a_theorem(implies(X0,X1)) )
=> is_a_theorem(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modus_ponens) ).
fof(f168,plain,
( spl2_9
| ~ spl2_10 ),
inference(avatar_split_clause,[],[f121,f165,f162]) ).
fof(f121,plain,
! [X0,X1] :
( ~ r2
| is_a_theorem(implies(X0,or(X1,X0))) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,or(X1,X0)))
| ~ r2 ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
( r2
=> ! [X0,X1] : is_a_theorem(implies(X0,or(X1,X0))) ),
inference(unused_predicate_definition_removal,[],[f64]) ).
fof(f64,plain,
( r2
<=> ! [X0,X1] : is_a_theorem(implies(X0,or(X1,X0))) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
( ! [X4,X3] : is_a_theorem(implies(X4,or(X3,X4)))
<=> r2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r2) ).
fof(f160,plain,
( ~ spl2_7
| spl2_8 ),
inference(avatar_split_clause,[],[f118,f158,f154]) ).
fof(f118,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))))
| ~ r5 ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))))
| ~ r5 ),
inference(rectify,[],[f83]) ).
fof(f83,plain,
( ! [X1,X2,X0] : is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2))))
| ~ r5 ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,plain,
( r5
=> ! [X1,X2,X0] : is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2)))) ),
inference(unused_predicate_definition_removal,[],[f59]) ).
fof(f59,plain,
( r5
<=> ! [X1,X2,X0] : is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2)))) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
( r5
<=> ! [X3,X4,X5] : is_a_theorem(implies(implies(X4,X5),implies(or(X3,X4),or(X3,X5)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r5) ).
fof(f152,plain,
( ~ spl2_5
| spl2_6 ),
inference(avatar_split_clause,[],[f117,f150,f146]) ).
fof(f117,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(or(X2,or(X0,X1)),or(X0,or(X2,X1))))
| ~ r4 ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( ~ r4
| ! [X0,X1,X2] : is_a_theorem(implies(or(X2,or(X0,X1)),or(X0,or(X2,X1)))) ),
inference(rectify,[],[f93]) ).
fof(f93,plain,
( ~ r4
| ! [X2,X1,X0] : is_a_theorem(implies(or(X0,or(X2,X1)),or(X2,or(X0,X1)))) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,plain,
( r4
=> ! [X2,X1,X0] : is_a_theorem(implies(or(X0,or(X2,X1)),or(X2,or(X0,X1)))) ),
inference(unused_predicate_definition_removal,[],[f49]) ).
fof(f49,plain,
( ! [X2,X1,X0] : is_a_theorem(implies(or(X0,or(X2,X1)),or(X2,or(X0,X1))))
<=> r4 ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
( r4
<=> ! [X3,X5,X4] : is_a_theorem(implies(or(X3,or(X4,X5)),or(X4,or(X3,X5)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r4) ).
fof(f144,plain,
( ~ spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f102,f142,f138]) ).
fof(f102,plain,
! [X0,X1] :
( and(implies(X1,X0),implies(X0,X1)) = equiv(X1,X0)
| ~ op_equiv ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( ! [X0,X1] : and(implies(X1,X0),implies(X0,X1)) = equiv(X1,X0)
| ~ op_equiv ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
( op_equiv
=> ! [X0,X1] : and(implies(X1,X0),implies(X0,X1)) = equiv(X1,X0) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
( op_equiv
=> ! [X1,X0] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_equiv) ).
fof(f136,plain,
( spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f125,f133,f130]) ).
fof(f125,plain,
! [X0,X1] :
( ~ op_implies_and
| implies(X1,X0) = not(and(X1,not(X0))) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
( ~ op_implies_and
| ! [X0,X1] : implies(X1,X0) = not(and(X1,not(X0))) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,plain,
( op_implies_and
=> ! [X0,X1] : implies(X1,X0) = not(and(X1,not(X0))) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
( op_implies_and
=> ! [X1,X0] : implies(X0,X1) = not(and(X0,not(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_implies_and) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL487+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 02:03:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.48 % (25693)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)
% 0.20/0.48 % (25700)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)
% 0.20/0.52 % (25693)Instruction limit reached!
% 0.20/0.52 % (25693)------------------------------
% 0.20/0.52 % (25693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (25693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (25693)Termination reason: Unknown
% 0.20/0.52 % (25693)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (25693)Memory used [KB]: 1663
% 0.20/0.52 % (25693)Time elapsed: 0.106 s
% 0.20/0.52 % (25693)Instructions burned: 38 (million)
% 0.20/0.52 % (25693)------------------------------
% 0.20/0.52 % (25693)------------------------------
% 0.20/0.52 % (25700)Instruction limit reached!
% 0.20/0.52 % (25700)------------------------------
% 0.20/0.52 % (25700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (25700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (25712)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.52 % (25700)Termination reason: Unknown
% 0.20/0.52 % (25700)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (25700)Memory used [KB]: 2174
% 0.20/0.52 % (25700)Time elapsed: 0.119 s
% 0.20/0.52 % (25700)Instructions burned: 52 (million)
% 0.20/0.52 % (25700)------------------------------
% 0.20/0.52 % (25700)------------------------------
% 0.20/0.53 % (25705)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)
% 0.20/0.53 % (25699)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (25699)Instruction limit reached!
% 0.20/0.53 % (25699)------------------------------
% 0.20/0.53 % (25699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (25699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (25699)Termination reason: Unknown
% 0.20/0.53 % (25699)Termination phase: Preprocessing 3
% 0.20/0.53
% 0.20/0.53 % (25699)Memory used [KB]: 895
% 0.20/0.53 % (25699)Time elapsed: 0.003 s
% 0.20/0.53 % (25699)Instructions burned: 2 (million)
% 0.20/0.53 % (25699)------------------------------
% 0.20/0.53 % (25699)------------------------------
% 0.20/0.53 % (25708)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.53 % (25718)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)
% 0.20/0.53 % (25715)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53 % (25720)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)
% 0.20/0.53 % (25691)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)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 % (25692)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)
% 1.39/0.54 % (25707)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)
% 1.39/0.54 % (25696)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)
% 1.39/0.54 % (25711)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)
% 1.39/0.54 % (25697)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)
% 1.39/0.54 % (25701)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.39/0.54 % (25695)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.39/0.54 TRYING [1]
% 1.39/0.54 TRYING [2]
% 1.39/0.54 TRYING [2]
% 1.39/0.55 % (25713)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)
% 1.39/0.55 % (25704)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.39/0.55 % (25709)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.39/0.55 % (25719)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.39/0.55 TRYING [1]
% 1.39/0.55 TRYING [2]
% 1.39/0.55 % (25694)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)
% 1.39/0.55 TRYING [3]
% 1.39/0.55 TRYING [3]
% 1.60/0.56 % (25717)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)
% 1.60/0.56 % (25702)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)
% 1.60/0.56 % (25703)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.60/0.56 % (25710)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)
% 1.60/0.57 TRYING [3]
% 1.60/0.57 % (25698)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.60/0.57 % (25716)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.60/0.58 % (25714)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)
% 1.60/0.58 % (25692)Instruction limit reached!
% 1.60/0.58 % (25692)------------------------------
% 1.60/0.58 % (25692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.58 TRYING [4]
% 1.60/0.58 % (25706)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)
% 1.60/0.59 % (25698)Instruction limit reached!
% 1.60/0.59 % (25698)------------------------------
% 1.60/0.59 % (25698)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.59 % (25698)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.59 % (25698)Termination reason: Unknown
% 1.60/0.59 % (25698)Termination phase: Saturation
% 1.60/0.59
% 1.60/0.59 % (25698)Memory used [KB]: 5628
% 1.60/0.59 % (25698)Time elapsed: 0.140 s
% 1.60/0.59 % (25698)Instructions burned: 7 (million)
% 1.60/0.59 % (25698)------------------------------
% 1.60/0.59 % (25698)------------------------------
% 1.60/0.59 % (25692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.59 % (25692)Termination reason: Unknown
% 1.60/0.59 % (25692)Termination phase: Saturation
% 1.60/0.59
% 1.60/0.59 % (25692)Memory used [KB]: 6652
% 1.60/0.59 % (25692)Time elapsed: 0.162 s
% 1.60/0.59 % (25692)Instructions burned: 50 (million)
% 1.60/0.59 % (25692)------------------------------
% 1.60/0.59 % (25692)------------------------------
% 1.60/0.60 TRYING [4]
% 1.60/0.60 % (25697)Instruction limit reached!
% 1.60/0.60 % (25697)------------------------------
% 1.60/0.60 % (25697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.60 % (25697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.60 % (25697)Termination reason: Unknown
% 1.60/0.60 % (25697)Termination phase: Finite model building constraint generation
% 1.60/0.60
% 1.60/0.60 % (25697)Memory used [KB]: 7164
% 1.60/0.60 % (25697)Time elapsed: 0.147 s
% 1.60/0.60 % (25697)Instructions burned: 52 (million)
% 1.60/0.60 % (25697)------------------------------
% 1.60/0.60 % (25697)------------------------------
% 1.60/0.60 TRYING [4]
% 1.60/0.62 % (25721)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 1.60/0.63 % (25708)Instruction limit reached!
% 1.60/0.63 % (25708)------------------------------
% 1.60/0.63 % (25708)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.63 % (25708)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.63 % (25708)Termination reason: Unknown
% 1.60/0.63 % (25708)Termination phase: Finite model building SAT solving
% 1.60/0.63
% 1.60/0.63 % (25708)Memory used [KB]: 7675
% 1.60/0.63 % (25708)Time elapsed: 0.206 s
% 1.60/0.63 % (25708)Instructions burned: 59 (million)
% 1.60/0.63 % (25708)------------------------------
% 1.60/0.63 % (25708)------------------------------
% 1.60/0.63 % (25722)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 1.60/0.63 % (25705)Instruction limit reached!
% 1.60/0.63 % (25705)------------------------------
% 1.60/0.63 % (25705)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.64 % (25694)Instruction limit reached!
% 1.60/0.64 % (25694)------------------------------
% 1.60/0.64 % (25694)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.64 % (25694)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.64 % (25694)Termination reason: Unknown
% 1.60/0.64 % (25694)Termination phase: Saturation
% 1.60/0.64
% 1.60/0.64 % (25694)Memory used [KB]: 6780
% 1.60/0.64 % (25694)Time elapsed: 0.240 s
% 1.60/0.64 % (25694)Instructions burned: 52 (million)
% 1.60/0.64 % (25694)------------------------------
% 1.60/0.64 % (25694)------------------------------
% 2.17/0.65 % (25701)Instruction limit reached!
% 2.17/0.65 % (25701)------------------------------
% 2.17/0.65 % (25701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.65 % (25701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.65 % (25701)Termination reason: Unknown
% 2.17/0.65 % (25701)Termination phase: Saturation
% 2.17/0.65
% 2.17/0.65 % (25701)Memory used [KB]: 6780
% 2.17/0.65 % (25701)Time elapsed: 0.209 s
% 2.17/0.65 % (25701)Instructions burned: 51 (million)
% 2.17/0.65 % (25701)------------------------------
% 2.17/0.65 % (25701)------------------------------
% 2.17/0.65 % (25704)Instruction limit reached!
% 2.17/0.65 % (25704)------------------------------
% 2.17/0.65 % (25704)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.65 % (25705)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.65 % (25705)Termination reason: Unknown
% 2.17/0.65 % (25705)Termination phase: Saturation
% 2.17/0.65
% 2.17/0.65 % (25705)Memory used [KB]: 7036
% 2.17/0.65 % (25705)Time elapsed: 0.035 s
% 2.17/0.65 % (25705)Instructions burned: 69 (million)
% 2.17/0.65 % (25705)------------------------------
% 2.17/0.65 % (25705)------------------------------
% 2.17/0.65 % (25704)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.65 % (25704)Termination reason: Unknown
% 2.17/0.65 % (25704)Termination phase: Saturation
% 2.17/0.65
% 2.17/0.65 % (25704)Memory used [KB]: 7547
% 2.17/0.65 % (25704)Time elapsed: 0.242 s
% 2.17/0.65 % (25704)Instructions burned: 99 (million)
% 2.17/0.65 % (25704)------------------------------
% 2.17/0.65 % (25704)------------------------------
% 2.17/0.65 % (25696)Instruction limit reached!
% 2.17/0.65 % (25696)------------------------------
% 2.17/0.65 % (25696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.65 % (25696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.65 % (25696)Termination reason: Unknown
% 2.17/0.65 % (25696)Termination phase: Saturation
% 2.17/0.65
% 2.17/0.65 % (25696)Memory used [KB]: 6268
% 2.17/0.65 % (25696)Time elapsed: 0.249 s
% 2.17/0.65 % (25696)Instructions burned: 49 (million)
% 2.17/0.65 % (25696)------------------------------
% 2.17/0.65 % (25696)------------------------------
% 2.17/0.65 % (25723)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/90Mi)
% 2.17/0.67 % (25695)Instruction limit reached!
% 2.17/0.67 % (25695)------------------------------
% 2.17/0.67 % (25695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.67 % (25695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.67 % (25695)Termination reason: Unknown
% 2.17/0.67 % (25695)Termination phase: Saturation
% 2.17/0.67
% 2.17/0.67 % (25695)Memory used [KB]: 6780
% 2.17/0.67 % (25695)Time elapsed: 0.241 s
% 2.17/0.67 % (25695)Instructions burned: 51 (million)
% 2.17/0.67 % (25695)------------------------------
% 2.17/0.67 % (25695)------------------------------
% 2.44/0.69 % (25706)Instruction limit reached!
% 2.44/0.69 % (25706)------------------------------
% 2.44/0.69 % (25706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.69 % (25706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.69 % (25706)Termination reason: Unknown
% 2.44/0.69 % (25706)Termination phase: Saturation
% 2.44/0.69
% 2.44/0.69 % (25706)Memory used [KB]: 2558
% 2.44/0.69 % (25706)Time elapsed: 0.263 s
% 2.44/0.69 % (25706)Instructions burned: 75 (million)
% 2.44/0.69 % (25706)------------------------------
% 2.44/0.69 % (25706)------------------------------
% 2.44/0.70 % (25717)Instruction limit reached!
% 2.44/0.70 % (25717)------------------------------
% 2.44/0.70 % (25717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.70 % (25717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.70 % (25717)Termination reason: Unknown
% 2.44/0.70 % (25717)Termination phase: Saturation
% 2.44/0.70
% 2.44/0.70 % (25717)Memory used [KB]: 7036
% 2.44/0.70 % (25717)Time elapsed: 0.037 s
% 2.44/0.70 % (25717)Instructions burned: 68 (million)
% 2.44/0.70 % (25717)------------------------------
% 2.44/0.70 % (25717)------------------------------
% 2.44/0.71 % (25724)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.44/0.72 % (25725)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.68/0.74 % (25709)Instruction limit reached!
% 2.68/0.74 % (25709)------------------------------
% 2.68/0.74 % (25709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.74 % (25709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.74 % (25709)Termination reason: Unknown
% 2.68/0.74 % (25709)Termination phase: Saturation
% 2.68/0.74
% 2.68/0.74 % (25709)Memory used [KB]: 7547
% 2.68/0.74 % (25709)Time elapsed: 0.341 s
% 2.68/0.74 % (25709)Instructions burned: 100 (million)
% 2.68/0.74 % (25709)------------------------------
% 2.68/0.74 % (25709)------------------------------
% 2.68/0.74 % (25707)Instruction limit reached!
% 2.68/0.74 % (25707)------------------------------
% 2.68/0.74 % (25707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.74 % (25707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.74 % (25707)Termination reason: Unknown
% 2.68/0.74 % (25707)Termination phase: Saturation
% 2.68/0.74
% 2.68/0.74 % (25707)Memory used [KB]: 6652
% 2.68/0.74 % (25707)Time elapsed: 0.326 s
% 2.68/0.74 % (25707)Instructions burned: 99 (million)
% 2.68/0.74 % (25707)------------------------------
% 2.68/0.74 % (25707)------------------------------
% 2.74/0.76 % (25710)Instruction limit reached!
% 2.74/0.76 % (25710)------------------------------
% 2.74/0.76 % (25710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.76 % (25710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.76 % (25710)Termination reason: Unknown
% 2.74/0.76 % (25710)Termination phase: Saturation
% 2.74/0.76
% 2.74/0.76 % (25710)Memory used [KB]: 2686
% 2.74/0.76 % (25710)Time elapsed: 0.353 s
% 2.74/0.76 % (25710)Instructions burned: 100 (million)
% 2.74/0.76 % (25710)------------------------------
% 2.74/0.76 % (25710)------------------------------
% 2.74/0.76 % (25726)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.74/0.77 % (25714)First to succeed.
% 2.74/0.77 % (25702)Instruction limit reached!
% 2.74/0.77 % (25702)------------------------------
% 2.74/0.77 % (25702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.77 % (25702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.77 % (25702)Termination reason: Unknown
% 2.74/0.77 % (25702)Termination phase: Saturation
% 2.74/0.77
% 2.74/0.77 % (25702)Memory used [KB]: 7803
% 2.74/0.77 % (25702)Time elapsed: 0.348 s
% 2.74/0.77 % (25702)Instructions burned: 100 (million)
% 2.74/0.77 % (25702)------------------------------
% 2.74/0.77 % (25702)------------------------------
% 2.74/0.77 % (25703)Instruction limit reached!
% 2.74/0.77 % (25703)------------------------------
% 2.74/0.77 % (25703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.77 % (25703)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.77 % (25703)Termination reason: Unknown
% 2.74/0.77 % (25703)Termination phase: Saturation
% 2.74/0.77
% 2.74/0.77 % (25703)Memory used [KB]: 7419
% 2.74/0.77 % (25703)Time elapsed: 0.371 s
% 2.74/0.77 % (25703)Instructions burned: 102 (million)
% 2.74/0.77 % (25703)------------------------------
% 2.74/0.77 % (25703)------------------------------
% 2.74/0.77 % (25727)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.74/0.78 % (25729)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.74/0.78 % (25714)Refutation found. Thanks to Tanya!
% 2.74/0.78 % SZS status Theorem for theBenchmark
% 2.74/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 2.74/0.78 % (25714)------------------------------
% 2.74/0.78 % (25714)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.78 % (25714)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.78 % (25714)Termination reason: Refutation
% 2.74/0.78
% 2.74/0.78 % (25714)Memory used [KB]: 7547
% 2.74/0.78 % (25714)Time elapsed: 0.330 s
% 2.74/0.78 % (25714)Instructions burned: 131 (million)
% 2.74/0.78 % (25714)------------------------------
% 2.74/0.78 % (25714)------------------------------
% 2.74/0.78 % (25690)Success in time 0.419 s
%------------------------------------------------------------------------------