TSTP Solution File: LCL490+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL490+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 : 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 17:48:30 EDT 2022
% Result : Theorem 2.75s 0.80s
% Output : Refutation 2.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 42
% Syntax : Number of formulae : 194 ( 49 unt; 0 def)
% Number of atoms : 466 ( 46 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 498 ( 226 ~; 221 |; 2 &)
% ( 29 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 31 ( 29 usr; 29 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 283 ( 277 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2991,plain,
$false,
inference(avatar_sat_refutation,[],[f136,f144,f152,f161,f169,f178,f188,f189,f190,f191,f196,f202,f203,f206,f1003,f2988]) ).
fof(f2988,plain,
( spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_14
| ~ spl2_17 ),
inference(avatar_contradiction_clause,[],[f2986]) ).
fof(f2986,plain,
( $false
| spl2_2
| ~ spl2_4
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_14
| ~ spl2_17 ),
inference(resolution,[],[f2949,f222]) ).
fof(f222,plain,
( ~ is_a_theorem(implies(sK0,implies(not(sK0),sK1)))
| spl2_2
| ~ spl2_11 ),
inference(forward_demodulation,[],[f135,f210]) ).
fof(f210,plain,
( ! [X0,X1] : or(X0,X1) = implies(not(X0),X1)
| ~ spl2_11 ),
inference(backward_demodulation,[],[f192,f173]) ).
fof(f173,plain,
( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f172,plain,
( spl2_11
<=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).
fof(f192,plain,
! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))),
inference(subsumption_resolution,[],[f112,f124]) ).
fof(f124,plain,
op_or,
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
op_or,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_or) ).
fof(f112,plain,
! [X0,X1] :
( ~ op_or
| or(X0,X1) = not(and(not(X0),not(X1))) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
( ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
( op_or
=> ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_or) ).
fof(f135,plain,
( ~ is_a_theorem(implies(sK0,or(sK0,sK1)))
| spl2_2 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl2_2
<=> is_a_theorem(implies(sK0,or(sK0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f2949,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1)))
| ~ spl2_4
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_14
| ~ spl2_17 ),
inference(superposition,[],[f2918,f1921]) ).
fof(f1921,plain,
( ! [X0] : not(not(X0)) = X0
| ~ spl2_4
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_14
| ~ spl2_17 ),
inference(subsumption_resolution,[],[f1907,f1013]) ).
fof(f1013,plain,
( ! [X0] : is_a_theorem(implies(X0,X0))
| ~ spl2_4
| ~ spl2_9
| ~ spl2_11
| ~ spl2_14
| ~ spl2_17 ),
inference(forward_demodulation,[],[f1007,f216]) ).
fof(f216,plain,
( ! [X0,X1] : implies(X1,X0) = implies(not(not(X1)),X0)
| ~ spl2_9
| ~ spl2_11 ),
inference(backward_demodulation,[],[f209,f173]) ).
fof(f209,plain,
( ! [X0,X1] : implies(X1,X0) = not(and(not(not(X1)),not(X0)))
| ~ spl2_9 ),
inference(forward_demodulation,[],[f164,f192]) ).
fof(f164,plain,
( ! [X0,X1] : implies(X1,X0) = or(not(X1),X0)
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f163,plain,
( spl2_9
<=> ! [X0,X1] : implies(X1,X0) = or(not(X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
fof(f1007,plain,
( ! [X0] : is_a_theorem(implies(not(not(X0)),X0))
| ~ spl2_4
| ~ spl2_11
| ~ spl2_14
| ~ spl2_17 ),
inference(resolution,[],[f998,f247]) ).
fof(f247,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),X1))
| is_a_theorem(implies(not(X1),X0)) )
| ~ spl2_4
| ~ spl2_11
| ~ spl2_14 ),
inference(resolution,[],[f218,f187]) ).
fof(f187,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X1)
| is_a_theorem(X0) )
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f186,plain,
( spl2_14
<=> ! [X0,X1] :
( ~ is_a_theorem(X1)
| ~ is_a_theorem(implies(X1,X0))
| is_a_theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).
fof(f218,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(not(X1),X0)))
| ~ spl2_4
| ~ spl2_11 ),
inference(forward_demodulation,[],[f214,f173]) ).
fof(f214,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),not(and(not(X1),not(X0)))))
| ~ spl2_4
| ~ spl2_11 ),
inference(backward_demodulation,[],[f208,f173]) ).
fof(f208,plain,
( ! [X0,X1] : is_a_theorem(implies(not(and(not(X0),not(X1))),not(and(not(X1),not(X0)))))
| ~ spl2_4 ),
inference(forward_demodulation,[],[f207,f192]) ).
fof(f207,plain,
( ! [X0,X1] : is_a_theorem(implies(or(X0,X1),not(and(not(X1),not(X0)))))
| ~ spl2_4 ),
inference(forward_demodulation,[],[f143,f192]) ).
fof(f143,plain,
( ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0)))
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f142,plain,
( spl2_4
<=> ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f998,plain,
( ! [X7] : is_a_theorem(implies(not(X7),not(X7)))
| ~ spl2_17 ),
inference(avatar_component_clause,[],[f997]) ).
fof(f997,plain,
( spl2_17
<=> ! [X7] : is_a_theorem(implies(not(X7),not(X7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_17])]) ).
fof(f1907,plain,
( ! [X0] :
( ~ is_a_theorem(implies(X0,X0))
| not(not(X0)) = X0 )
| ~ spl2_4
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_14 ),
inference(resolution,[],[f1568,f273]) ).
fof(f273,plain,
( ! [X0,X1] :
( ~ is_a_theorem(not(implies(implies(X1,X0),not(implies(X0,X1)))))
| not(not(X0)) = X1 )
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11 ),
inference(forward_demodulation,[],[f272,f253]) ).
fof(f253,plain,
( ! [X2,X0,X1] : implies(implies(X0,X1),X2) = implies(implies(X0,not(not(X1))),X2)
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11 ),
inference(superposition,[],[f216,f226]) ).
fof(f226,plain,
( ! [X0,X1] : implies(X0,X1) = not(not(implies(X0,not(not(X1)))))
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11 ),
inference(backward_demodulation,[],[f173,f224]) ).
fof(f224,plain,
( ! [X0,X1] : not(implies(X1,not(X0))) = and(X1,X0)
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11 ),
inference(forward_demodulation,[],[f223,f216]) ).
fof(f223,plain,
( ! [X0,X1] : and(X1,X0) = not(implies(not(not(X1)),not(X0)))
| ~ spl2_7
| ~ spl2_11 ),
inference(forward_demodulation,[],[f156,f210]) ).
fof(f156,plain,
( ! [X0,X1] : not(or(not(X1),not(X0))) = and(X1,X0)
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f155,plain,
( spl2_7
<=> ! [X0,X1] : not(or(not(X1),not(X0))) = and(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f272,plain,
( ! [X0,X1] :
( not(not(X0)) = X1
| ~ is_a_theorem(not(implies(implies(X1,not(not(X0))),not(implies(X0,X1))))) )
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11 ),
inference(superposition,[],[f227,f216]) ).
fof(f227,plain,
( ! [X0,X1] :
( ~ is_a_theorem(not(implies(implies(X0,X1),not(implies(X1,X0)))))
| X0 = X1 )
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11 ),
inference(backward_demodulation,[],[f170,f225]) ).
fof(f225,plain,
( ! [X0,X1] : equiv(X0,X1) = not(implies(implies(X0,X1),not(implies(X1,X0))))
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11 ),
inference(backward_demodulation,[],[f151,f224]) ).
fof(f151,plain,
( ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl2_6
<=> ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f170,plain,
! [X0,X1] :
( ~ is_a_theorem(equiv(X0,X1))
| X0 = X1 ),
inference(subsumption_resolution,[],[f106,f104]) ).
fof(f104,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(f106,plain,
! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(equiv(X0,X1))
| ~ substitution_of_equivalents ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
( ! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(equiv(X0,X1)) )
| ~ substitution_of_equivalents ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
( substitution_of_equivalents
=> ! [X1,X0] :
( is_a_theorem(equiv(X0,X1))
=> X0 = X1 ) ),
inference(unused_predicate_definition_removal,[],[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(f1568,plain,
( ! [X1] :
( is_a_theorem(not(implies(X1,not(X1))))
| ~ is_a_theorem(X1) )
| ~ spl2_4
| ~ spl2_9
| ~ spl2_11
| ~ spl2_14 ),
inference(resolution,[],[f1428,f187]) ).
fof(f1428,plain,
( ! [X32] : is_a_theorem(implies(X32,not(implies(X32,not(X32)))))
| ~ spl2_4
| ~ spl2_9
| ~ spl2_11
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1400,f216]) ).
fof(f1400,plain,
( ! [X32] : is_a_theorem(implies(not(not(X32)),not(implies(X32,not(X32)))))
| ~ spl2_4
| ~ spl2_9
| ~ spl2_11
| ~ spl2_14 ),
inference(resolution,[],[f322,f235]) ).
fof(f235,plain,
( ! [X5] : is_a_theorem(implies(implies(X5,not(X5)),not(X5)))
| ~ spl2_9
| ~ spl2_11 ),
inference(superposition,[],[f215,f216]) ).
fof(f215,plain,
( ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0))
| ~ spl2_11 ),
inference(backward_demodulation,[],[f205,f173]) ).
fof(f205,plain,
! [X0] : is_a_theorem(implies(not(and(not(X0),not(X0))),X0)),
inference(forward_demodulation,[],[f204,f192]) ).
fof(f204,plain,
! [X0] : is_a_theorem(implies(or(X0,X0),X0)),
inference(subsumption_resolution,[],[f113,f127]) ).
fof(f127,plain,
r1,
inference(cnf_transformation,[],[f36]) ).
fof(f36,axiom,
r1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_r1) ).
fof(f113,plain,
! [X0] :
( ~ r1
| is_a_theorem(implies(or(X0,X0),X0)) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( ! [X0] : is_a_theorem(implies(or(X0,X0),X0))
| ~ r1 ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,plain,
( r1
=> ! [X0] : is_a_theorem(implies(or(X0,X0),X0)) ),
inference(unused_predicate_definition_removal,[],[f59]) ).
fof(f59,plain,
( r1
<=> ! [X0] : is_a_theorem(implies(or(X0,X0),X0)) ),
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(f322,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(not(X1),not(X0))) )
| ~ spl2_4
| ~ spl2_9
| ~ spl2_11
| ~ spl2_14 ),
inference(superposition,[],[f247,f216]) ).
fof(f2918,plain,
( ! [X2,X1] : is_a_theorem(implies(not(X1),implies(X1,X2)))
| ~ spl2_4
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_14
| ~ spl2_17 ),
inference(forward_demodulation,[],[f2890,f1921]) ).
fof(f2890,plain,
( ! [X2,X1] : is_a_theorem(implies(not(X1),implies(not(not(X1)),X2)))
| ~ spl2_4
| ~ spl2_9
| ~ spl2_11
| ~ spl2_14 ),
inference(resolution,[],[f2139,f218]) ).
fof(f2139,plain,
( ! [X34,X35,X33] :
( ~ is_a_theorem(implies(implies(X35,not(X33)),X34))
| is_a_theorem(implies(not(X33),X34)) )
| ~ spl2_9
| ~ spl2_11
| ~ spl2_14 ),
inference(resolution,[],[f442,f233]) ).
fof(f233,plain,
( ! [X2,X3] : is_a_theorem(implies(X3,implies(X2,X3)))
| ~ spl2_9
| ~ spl2_11 ),
inference(superposition,[],[f211,f216]) ).
fof(f211,plain,
( ! [X0,X1] : is_a_theorem(implies(X1,implies(not(X0),X1)))
| ~ spl2_11 ),
inference(backward_demodulation,[],[f194,f173]) ).
fof(f194,plain,
! [X0,X1] : is_a_theorem(implies(X1,not(and(not(X0),not(X1))))),
inference(backward_demodulation,[],[f179,f192]) ).
fof(f179,plain,
! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))),
inference(subsumption_resolution,[],[f103,f118]) ).
fof(f118,plain,
r2,
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
r2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_r2) ).
fof(f103,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,or(X0,X1)))
| ~ r2 ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( ~ r2
| ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
inference(rectify,[],[f77]) ).
fof(f77,plain,
( ~ r2
| ! [X1,X0] : is_a_theorem(implies(X0,or(X1,X0))) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,plain,
( r2
=> ! [X1,X0] : is_a_theorem(implies(X0,or(X1,X0))) ),
inference(unused_predicate_definition_removal,[],[f65]) ).
fof(f65,plain,
( ! [X1,X0] : is_a_theorem(implies(X0,or(X1,X0)))
<=> r2 ),
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(f442,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(not(X2),X0))
| is_a_theorem(implies(not(X2),X1))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl2_11
| ~ spl2_14 ),
inference(resolution,[],[f280,f187]) ).
fof(f280,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(not(X2),X0),implies(not(X2),X1)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl2_11
| ~ spl2_14 ),
inference(resolution,[],[f217,f187]) ).
fof(f217,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X2),implies(implies(not(X1),X0),implies(not(X1),X2))))
| ~ spl2_11 ),
inference(forward_demodulation,[],[f212,f173]) ).
fof(f212,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X2),implies(implies(not(X1),X0),not(and(not(X1),not(X2))))))
| ~ spl2_11 ),
inference(backward_demodulation,[],[f195,f173]) ).
fof(f195,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X2),implies(not(and(not(X1),not(X0))),not(and(not(X1),not(X2)))))),
inference(forward_demodulation,[],[f193,f192]) ).
fof(f193,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X2),implies(not(and(not(X1),not(X0))),or(X1,X2)))),
inference(backward_demodulation,[],[f180,f192]) ).
fof(f180,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X2),implies(or(X1,X0),or(X1,X2)))),
inference(subsumption_resolution,[],[f105,f101]) ).
fof(f101,plain,
r5,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
r5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_r5) ).
fof(f105,plain,
! [X2,X0,X1] :
( ~ r5
| is_a_theorem(implies(implies(X0,X2),implies(or(X1,X0),or(X1,X2)))) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X2),implies(or(X1,X0),or(X1,X2))))
| ~ r5 ),
inference(rectify,[],[f86]) ).
fof(f86,plain,
( ! [X0,X2,X1] : is_a_theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))))
| ~ r5 ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
( r5
=> ! [X0,X2,X1] : is_a_theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))) ),
inference(unused_predicate_definition_removal,[],[f51]) ).
fof(f51,plain,
( r5
<=> ! [X0,X2,X1] : is_a_theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
( ! [X4,X5,X3] : is_a_theorem(implies(implies(X4,X5),implies(or(X3,X4),or(X3,X5))))
<=> r5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r5) ).
fof(f1003,plain,
( spl2_17
| ~ spl2_11
| ~ spl2_14 ),
inference(avatar_split_clause,[],[f986,f186,f172,f997]) ).
fof(f986,plain,
( ! [X3] : is_a_theorem(implies(not(X3),not(X3)))
| ~ spl2_11
| ~ spl2_14 ),
inference(resolution,[],[f943,f229]) ).
fof(f229,plain,
( ! [X2] :
( ~ is_a_theorem(implies(not(X2),X2))
| is_a_theorem(X2) )
| ~ spl2_11
| ~ spl2_14 ),
inference(resolution,[],[f187,f215]) ).
fof(f943,plain,
( ! [X16,X17] : is_a_theorem(implies(not(X16),implies(not(X17),not(X17))))
| ~ spl2_11
| ~ spl2_14 ),
inference(resolution,[],[f288,f211]) ).
fof(f288,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_11
| ~ spl2_14 ),
inference(resolution,[],[f221,f187]) ).
fof(f221,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(not(X1),implies(not(X0),X2)),implies(not(X0),implies(not(X1),X2))))
| ~ spl2_11 ),
inference(forward_demodulation,[],[f220,f173]) ).
fof(f220,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(not(X1),not(and(not(X0),not(X2)))),implies(not(X0),implies(not(X1),X2))))
| ~ spl2_11 ),
inference(forward_demodulation,[],[f219,f173]) ).
fof(f219,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(not(and(not(X1),not(not(and(not(X0),not(X2)))))),implies(not(X0),implies(not(X1),X2))))
| ~ spl2_11 ),
inference(forward_demodulation,[],[f213,f173]) ).
fof(f213,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(not(and(not(X1),not(not(and(not(X0),not(X2)))))),not(and(not(X0),not(implies(not(X1),X2))))))
| ~ spl2_11 ),
inference(backward_demodulation,[],[f201,f173]) ).
fof(f201,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(and(not(X1),not(not(and(not(X0),not(X2)))))),not(and(not(X0),not(not(and(not(X1),not(X2)))))))),
inference(forward_demodulation,[],[f200,f192]) ).
fof(f200,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(and(not(X1),not(or(X0,X2)))),not(and(not(X0),not(not(and(not(X1),not(X2)))))))),
inference(forward_demodulation,[],[f199,f192]) ).
fof(f199,plain,
! [X2,X0,X1] : is_a_theorem(implies(or(X1,or(X0,X2)),not(and(not(X0),not(not(and(not(X1),not(X2)))))))),
inference(forward_demodulation,[],[f198,f192]) ).
fof(f198,plain,
! [X2,X0,X1] : is_a_theorem(implies(or(X1,or(X0,X2)),not(and(not(X0),not(or(X1,X2)))))),
inference(forward_demodulation,[],[f197,f192]) ).
fof(f197,plain,
! [X2,X0,X1] : is_a_theorem(implies(or(X1,or(X0,X2)),or(X0,or(X1,X2)))),
inference(subsumption_resolution,[],[f108,f110]) ).
fof(f110,plain,
r4,
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
r4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_r4) ).
fof(f108,plain,
! [X2,X0,X1] :
( ~ r4
| is_a_theorem(implies(or(X1,or(X0,X2)),or(X0,or(X1,X2)))) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(or(X1,or(X0,X2)),or(X0,or(X1,X2))))
| ~ r4 ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
( ! [X0,X2,X1] : is_a_theorem(implies(or(X2,or(X0,X1)),or(X0,or(X2,X1))))
| ~ r4 ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,plain,
( r4
=> ! [X0,X2,X1] : is_a_theorem(implies(or(X2,or(X0,X1)),or(X0,or(X2,X1)))) ),
inference(unused_predicate_definition_removal,[],[f60]) ).
fof(f60,plain,
( ! [X0,X2,X1] : is_a_theorem(implies(or(X2,or(X0,X1)),or(X0,or(X2,X1))))
<=> r4 ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
( ! [X4,X5,X3] : is_a_theorem(implies(or(X3,or(X4,X5)),or(X4,or(X3,X5))))
<=> r4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r4) ).
fof(f206,plain,
spl2_5,
inference(avatar_split_clause,[],[f125,f146]) ).
fof(f146,plain,
( spl2_5
<=> op_equiv ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f125,plain,
op_equiv,
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
op_equiv,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_equiv) ).
fof(f203,plain,
spl2_3,
inference(avatar_split_clause,[],[f115,f138]) ).
fof(f138,plain,
( spl2_3
<=> r3 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f115,plain,
r3,
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
r3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_r3) ).
fof(f202,plain,
~ spl2_1,
inference(avatar_split_clause,[],[f126,f129]) ).
fof(f129,plain,
( spl2_1
<=> or_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f126,plain,
~ or_1,
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
~ or_1,
inference(flattening,[],[f46]) ).
fof(f46,negated_conjecture,
~ or_1,
inference(negated_conjecture,[],[f45]) ).
fof(f45,conjecture,
or_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_or_1) ).
fof(f196,plain,
spl2_13,
inference(avatar_split_clause,[],[f119,f182]) ).
fof(f182,plain,
( spl2_13
<=> modus_ponens ),
introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).
fof(f119,plain,
modus_ponens,
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
modus_ponens,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_modus_ponens) ).
fof(f191,plain,
spl2_12,
inference(avatar_split_clause,[],[f107,f175]) ).
fof(f175,plain,
( spl2_12
<=> op_implies_and ),
introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).
fof(f107,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(f190,plain,
spl2_8,
inference(avatar_split_clause,[],[f121,f158]) ).
fof(f158,plain,
( spl2_8
<=> op_and ),
introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).
fof(f121,plain,
op_and,
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
op_and,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_op_and) ).
fof(f189,plain,
spl2_10,
inference(avatar_split_clause,[],[f111,f166]) ).
fof(f166,plain,
( spl2_10
<=> op_implies_or ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
fof(f111,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(f188,plain,
( ~ spl2_13
| spl2_14 ),
inference(avatar_split_clause,[],[f122,f186,f182]) ).
fof(f122,plain,
! [X0,X1] :
( ~ is_a_theorem(X1)
| ~ modus_ponens
| is_a_theorem(X0)
| ~ is_a_theorem(implies(X1,X0)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( ~ modus_ponens
| ! [X0,X1] :
( ~ is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X1)
| is_a_theorem(X0) ) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
( ~ modus_ponens
| ! [X1,X0] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) )
| ~ modus_ponens ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,plain,
( modus_ponens
=> ! [X0,X1] :
( ( is_a_theorem(X0)
& is_a_theorem(implies(X0,X1)) )
=> is_a_theorem(X1) ) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f1,axiom,
( ! [X0,X1] :
( ( is_a_theorem(X0)
& is_a_theorem(implies(X0,X1)) )
=> is_a_theorem(X1) )
<=> modus_ponens ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modus_ponens) ).
fof(f178,plain,
( spl2_11
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f123,f175,f172]) ).
fof(f123,plain,
! [X0,X1] :
( ~ op_implies_and
| implies(X0,X1) = not(and(X0,not(X1))) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(rectify,[],[f90]) ).
fof(f90,plain,
( ! [X1,X0] : implies(X1,X0) = not(and(X1,not(X0)))
| ~ op_implies_and ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,plain,
( op_implies_and
=> ! [X1,X0] : 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) ).
fof(f169,plain,
( spl2_9
| ~ spl2_10 ),
inference(avatar_split_clause,[],[f117,f166,f163]) ).
fof(f117,plain,
! [X0,X1] :
( ~ op_implies_or
| implies(X1,X0) = or(not(X1),X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( ! [X0,X1] : implies(X1,X0) = or(not(X1),X0)
| ~ op_implies_or ),
inference(rectify,[],[f82]) ).
fof(f82,plain,
( ! [X1,X0] : implies(X0,X1) = or(not(X0),X1)
| ~ op_implies_or ),
inference(ennf_transformation,[],[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(f161,plain,
( spl2_7
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f114,f158,f155]) ).
fof(f114,plain,
! [X0,X1] :
( ~ op_and
| not(or(not(X1),not(X0))) = and(X1,X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( ~ op_and
| ! [X0,X1] : not(or(not(X1),not(X0))) = and(X1,X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,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(f152,plain,
( ~ spl2_5
| spl2_6 ),
inference(avatar_split_clause,[],[f116,f150,f146]) ).
fof(f116,plain,
! [X0,X1] :
( equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
| ~ op_equiv ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
| ~ op_equiv ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
( op_equiv
=> ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_equiv) ).
fof(f144,plain,
( ~ spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f109,f142,f138]) ).
fof(f109,plain,
! [X0,X1] :
( is_a_theorem(implies(or(X0,X1),or(X1,X0)))
| ~ r3 ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( ~ r3
| ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
( ~ r3
| ! [X1,X0] : is_a_theorem(implies(or(X1,X0),or(X0,X1))) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,plain,
( r3
=> ! [X1,X0] : is_a_theorem(implies(or(X1,X0),or(X0,X1))) ),
inference(unused_predicate_definition_removal,[],[f62]) ).
fof(f62,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(f136,plain,
( spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f120,f133,f129]) ).
fof(f120,plain,
( ~ is_a_theorem(implies(sK0,or(sK0,sK1)))
| or_1 ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( or_1
| ~ is_a_theorem(implies(sK0,or(sK0,sK1))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f96,f97]) ).
fof(f97,plain,
( ? [X0,X1] : ~ is_a_theorem(implies(X0,or(X0,X1)))
=> ~ is_a_theorem(implies(sK0,or(sK0,sK1))) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
( or_1
| ? [X0,X1] : ~ is_a_theorem(implies(X0,or(X0,X1))) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
( or_1
| ? [X1,X0] : ~ is_a_theorem(implies(X1,or(X1,X0))) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,plain,
( ! [X0,X1] : is_a_theorem(implies(X1,or(X1,X0)))
=> or_1 ),
inference(unused_predicate_definition_removal,[],[f54]) ).
fof(f54,plain,
( ! [X0,X1] : is_a_theorem(implies(X1,or(X1,X0)))
<=> or_1 ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
( or_1
<=> ! [X1,X0] : is_a_theorem(implies(X0,or(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LCL490+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 02:01:05 EDT 2022
% 0.20/0.35 % CPUTime :
% 0.20/0.52 % (23155)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.52 % (23142)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (23139)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)
% 0.20/0.52 % (23161)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.53 % (23144)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (23140)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)
% 0.20/0.53 % (23138)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)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 TRYING [1]
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (23151)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (23157)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (23166)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 % (23160)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (23147)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)
% 0.20/0.53 % (23158)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.53 % (23153)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.53 % (23141)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 TRYING [3]
% 0.20/0.54 % (23150)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54 % (23152)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)
% 0.20/0.54 % (23145)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 TRYING [2]
% 0.20/0.54 % (23143)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.54 TRYING [3]
% 0.20/0.54 % (23149)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (23145)Instruction limit reached!
% 0.20/0.54 % (23145)------------------------------
% 0.20/0.54 % (23145)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (23145)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (23145)Termination reason: Unknown
% 0.20/0.54 % (23145)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (23145)Memory used [KB]: 5628
% 0.20/0.54 % (23145)Time elapsed: 0.095 s
% 0.20/0.54 % (23145)Instructions burned: 8 (million)
% 0.20/0.54 % (23145)------------------------------
% 0.20/0.54 % (23145)------------------------------
% 0.20/0.55 % (23156)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 TRYING [3]
% 0.20/0.55 % (23146)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55 % (23167)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.55 % (23146)Instruction limit reached!
% 0.20/0.55 % (23146)------------------------------
% 0.20/0.55 % (23146)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (23146)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (23146)Termination reason: Unknown
% 0.20/0.55 % (23146)Termination phase: Unused predicate definition removal
% 0.20/0.55
% 0.20/0.55 % (23146)Memory used [KB]: 895
% 0.20/0.55 % (23146)Time elapsed: 0.004 s
% 0.20/0.55 % (23146)Instructions burned: 2 (million)
% 0.20/0.55 % (23146)------------------------------
% 0.20/0.55 % (23146)------------------------------
% 1.52/0.55 % (23148)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.52/0.55 TRYING [4]
% 1.52/0.56 % (23165)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)
% 1.52/0.56 % (23168)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)
% 1.52/0.56 % (23159)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.52/0.56 % (23154)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)
% 1.52/0.56 % (23164)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.52/0.57 TRYING [4]
% 1.52/0.57 % (23162)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.65/0.58 TRYING [4]
% 1.65/0.59 % (23144)Instruction limit reached!
% 1.65/0.59 % (23144)------------------------------
% 1.65/0.59 % (23144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.59 % (23144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.59 % (23144)Termination reason: Unknown
% 1.65/0.59 % (23144)Termination phase: Finite model building constraint generation
% 1.65/0.59
% 1.65/0.59 % (23144)Memory used [KB]: 7164
% 1.65/0.59 % (23144)Time elapsed: 0.138 s
% 1.65/0.59 % (23144)Instructions burned: 51 (million)
% 1.65/0.59 % (23144)------------------------------
% 1.65/0.59 % (23144)------------------------------
% 1.65/0.59 % (23140)Instruction limit reached!
% 1.65/0.59 % (23140)------------------------------
% 1.65/0.59 % (23140)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.59 % (23140)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.59 % (23140)Termination reason: Unknown
% 1.65/0.59 % (23140)Termination phase: Saturation
% 1.65/0.59
% 1.65/0.59 % (23140)Memory used [KB]: 1791
% 1.65/0.59 % (23140)Time elapsed: 0.167 s
% 1.65/0.59 % (23140)Instructions burned: 38 (million)
% 1.65/0.59 % (23140)------------------------------
% 1.65/0.59 % (23140)------------------------------
% 1.65/0.59 % (23155)Instruction limit reached!
% 1.65/0.59 % (23155)------------------------------
% 1.65/0.59 % (23155)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.59 % (23155)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.59 % (23155)Termination reason: Unknown
% 1.65/0.59 % (23155)Termination phase: Finite model building constraint generation
% 1.65/0.59
% 1.65/0.59 % (23155)Memory used [KB]: 7675
% 1.65/0.59 % (23155)Time elapsed: 0.187 s
% 1.65/0.59 % (23155)Instructions burned: 61 (million)
% 1.65/0.59 % (23155)------------------------------
% 1.65/0.59 % (23155)------------------------------
% 1.65/0.59 % (23139)Instruction limit reached!
% 1.65/0.59 % (23139)------------------------------
% 1.65/0.59 % (23139)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.61 % (23139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.61 % (23139)Termination reason: Unknown
% 1.65/0.61 % (23139)Termination phase: Saturation
% 1.65/0.61
% 1.65/0.61 % (23139)Memory used [KB]: 6780
% 1.65/0.61 % (23139)Time elapsed: 0.170 s
% 1.65/0.61 % (23139)Instructions burned: 51 (million)
% 1.65/0.61 % (23139)------------------------------
% 1.65/0.61 % (23139)------------------------------
% 1.65/0.62 % (23141)Instruction limit reached!
% 1.65/0.62 % (23141)------------------------------
% 1.65/0.62 % (23141)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.62 % (23147)Instruction limit reached!
% 1.65/0.62 % (23147)------------------------------
% 1.65/0.62 % (23147)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.63 % (23142)Instruction limit reached!
% 2.03/0.63 % (23142)------------------------------
% 2.03/0.63 % (23142)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.63 % (23142)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.63 % (23142)Termination reason: Unknown
% 2.03/0.63 % (23142)Termination phase: Saturation
% 2.03/0.63
% 2.03/0.63 % (23142)Memory used [KB]: 6652
% 2.03/0.63 % (23142)Time elapsed: 0.200 s
% 2.03/0.63 % (23142)Instructions burned: 51 (million)
% 2.03/0.63 % (23142)------------------------------
% 2.03/0.63 % (23142)------------------------------
% 2.03/0.63 % (23143)Instruction limit reached!
% 2.03/0.63 % (23143)------------------------------
% 2.03/0.63 % (23143)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.63 % (23143)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.63 % (23143)Termination reason: Unknown
% 2.03/0.63 % (23143)Termination phase: Saturation
% 2.03/0.63
% 2.03/0.63 % (23143)Memory used [KB]: 6268
% 2.03/0.63 % (23143)Time elapsed: 0.219 s
% 2.03/0.63 % (23143)Instructions burned: 48 (million)
% 2.03/0.63 % (23143)------------------------------
% 2.03/0.63 % (23143)------------------------------
% 2.03/0.63 % (23148)Instruction limit reached!
% 2.03/0.63 % (23148)------------------------------
% 2.03/0.63 % (23148)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.63 % (23141)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.63 % (23141)Termination reason: Unknown
% 2.03/0.63 % (23141)Termination phase: Saturation
% 2.03/0.63
% 2.03/0.63 % (23141)Memory used [KB]: 6780
% 2.03/0.63 % (23141)Time elapsed: 0.203 s
% 2.03/0.63 % (23141)Instructions burned: 52 (million)
% 2.03/0.63 % (23141)------------------------------
% 2.03/0.63 % (23141)------------------------------
% 2.03/0.63 % (23148)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.63 % (23148)Termination reason: Unknown
% 2.03/0.63 % (23148)Termination phase: Saturation
% 2.03/0.63
% 2.03/0.63 % (23148)Memory used [KB]: 6908
% 2.03/0.63 % (23148)Time elapsed: 0.201 s
% 2.03/0.63 % (23148)Instructions burned: 52 (million)
% 2.03/0.63 % (23148)------------------------------
% 2.03/0.63 % (23148)------------------------------
% 2.03/0.64 % (23147)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.64 % (23147)Termination reason: Unknown
% 2.03/0.64 % (23147)Termination phase: Saturation
% 2.03/0.64
% 2.03/0.64 % (23147)Memory used [KB]: 2302
% 2.03/0.64 % (23147)Time elapsed: 0.221 s
% 2.03/0.64 % (23147)Instructions burned: 52 (million)
% 2.03/0.64 % (23147)------------------------------
% 2.03/0.64 % (23147)------------------------------
% 2.03/0.65 % (23152)Instruction limit reached!
% 2.03/0.65 % (23152)------------------------------
% 2.03/0.65 % (23152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.65 % (23212)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)
% 2.23/0.66 % (23165)Instruction limit reached!
% 2.23/0.66 % (23165)------------------------------
% 2.23/0.66 % (23165)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.66 % (23152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.66 % (23152)Termination reason: Unknown
% 2.23/0.66 % (23152)Termination phase: Saturation
% 2.23/0.66
% 2.23/0.66 % (23152)Memory used [KB]: 7036
% 2.23/0.66 % (23152)Time elapsed: 0.044 s
% 2.23/0.66 % (23152)Instructions burned: 69 (million)
% 2.23/0.66 % (23152)------------------------------
% 2.23/0.66 % (23152)------------------------------
% 2.23/0.67 % (23153)Instruction limit reached!
% 2.23/0.67 % (23153)------------------------------
% 2.23/0.67 % (23153)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.67 % (23165)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.67 % (23165)Termination reason: Unknown
% 2.23/0.67 % (23165)Termination phase: Saturation
% 2.23/0.67
% 2.23/0.67 % (23165)Memory used [KB]: 7036
% 2.23/0.67 % (23165)Time elapsed: 0.033 s
% 2.23/0.67 % (23165)Instructions burned: 69 (million)
% 2.23/0.67 % (23165)------------------------------
% 2.23/0.67 % (23165)------------------------------
% 2.23/0.67 % (23153)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.67 % (23153)Termination reason: Unknown
% 2.23/0.67 % (23153)Termination phase: Saturation
% 2.23/0.67
% 2.23/0.67 % (23153)Memory used [KB]: 2558
% 2.23/0.67 % (23153)Time elapsed: 0.200 s
% 2.23/0.67 % (23153)Instructions burned: 75 (million)
% 2.23/0.67 % (23153)------------------------------
% 2.23/0.67 % (23153)------------------------------
% 2.23/0.69 % (23157)Instruction limit reached!
% 2.23/0.69 % (23157)------------------------------
% 2.23/0.69 % (23157)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.69 % (23157)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.69 % (23157)Termination reason: Unknown
% 2.23/0.69 % (23157)Termination phase: Saturation
% 2.23/0.69
% 2.23/0.69 % (23157)Memory used [KB]: 2430
% 2.23/0.69 % (23157)Time elapsed: 0.275 s
% 2.23/0.69 % (23157)Instructions burned: 101 (million)
% 2.23/0.69 % (23157)------------------------------
% 2.23/0.69 % (23157)------------------------------
% 2.23/0.70 % (23154)Instruction limit reached!
% 2.23/0.70 % (23154)------------------------------
% 2.23/0.70 % (23154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.71 TRYING [5]
% 2.23/0.71 % (23151)Instruction limit reached!
% 2.23/0.71 % (23151)------------------------------
% 2.23/0.71 % (23151)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.71 % (23238)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 (2997ds/90Mi)
% 2.23/0.71 % (23217)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)
% 2.23/0.71 % (23149)Instruction limit reached!
% 2.23/0.71 % (23149)------------------------------
% 2.23/0.71 % (23149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.71 % (23149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.71 % (23149)Termination reason: Unknown
% 2.23/0.71 % (23149)Termination phase: Saturation
% 2.23/0.71
% 2.23/0.71 % (23149)Memory used [KB]: 7931
% 2.23/0.71 % (23149)Time elapsed: 0.302 s
% 2.23/0.71 % (23149)Instructions burned: 101 (million)
% 2.23/0.71 % (23149)------------------------------
% 2.23/0.71 % (23149)------------------------------
% 2.23/0.71 % (23151)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.71 % (23151)Termination reason: Unknown
% 2.23/0.71 % (23151)Termination phase: Saturation
% 2.23/0.71
% 2.23/0.71 % (23151)Memory used [KB]: 7675
% 2.23/0.71 % (23151)Time elapsed: 0.302 s
% 2.23/0.71 % (23151)Instructions burned: 99 (million)
% 2.23/0.71 % (23151)------------------------------
% 2.23/0.71 % (23151)------------------------------
% 2.23/0.72 % (23154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.72 % (23154)Termination reason: Unknown
% 2.23/0.72 % (23154)Termination phase: Saturation
% 2.23/0.72
% 2.23/0.72 % (23154)Memory used [KB]: 7164
% 2.23/0.72 % (23154)Time elapsed: 0.247 s
% 2.23/0.72 % (23154)Instructions burned: 100 (million)
% 2.23/0.72 % (23154)------------------------------
% 2.23/0.72 % (23154)------------------------------
% 2.23/0.72 % (23150)Instruction limit reached!
% 2.23/0.72 % (23150)------------------------------
% 2.23/0.72 % (23150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.72 % (23150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.72 % (23150)Termination reason: Unknown
% 2.23/0.72 % (23150)Termination phase: Saturation
% 2.23/0.72
% 2.23/0.72 % (23150)Memory used [KB]: 7419
% 2.23/0.72 % (23150)Time elapsed: 0.317 s
% 2.23/0.72 % (23150)Instructions burned: 101 (million)
% 2.23/0.72 % (23150)------------------------------
% 2.23/0.72 % (23150)------------------------------
% 2.60/0.73 % (23243)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.60/0.73 % (23241)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.60/0.73 % (23250)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)
% 2.60/0.73 % (23156)Instruction limit reached!
% 2.60/0.73 % (23156)------------------------------
% 2.60/0.73 % (23156)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.73 % (23156)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.73 % (23156)Termination reason: Unknown
% 2.60/0.73 % (23156)Termination phase: Saturation
% 2.60/0.73
% 2.60/0.73 % (23156)Memory used [KB]: 7547
% 2.60/0.73 % (23156)Time elapsed: 0.317 s
% 2.60/0.73 % (23156)Instructions burned: 100 (million)
% 2.60/0.73 % (23156)------------------------------
% 2.60/0.73 % (23156)------------------------------
% 2.60/0.76 % (23254)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)
% 2.60/0.76 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.60/0.76 % (23256)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)
% 2.60/0.77 % (23257)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.75/0.77 % (23258)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 (2997ds/90Mi)
% 2.75/0.78 % (23259)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.75/0.78 % (23255)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 (2997ds/68Mi)
% 2.75/0.79 % (23260)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.75/0.79 % (23161)First to succeed.
% 2.75/0.79 % (23159)Instruction limit reached!
% 2.75/0.79 % (23159)------------------------------
% 2.75/0.79 % (23159)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.75/0.80 % (23161)Refutation found. Thanks to Tanya!
% 2.75/0.80 % SZS status Theorem for theBenchmark
% 2.75/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 2.75/0.80 % (23161)------------------------------
% 2.75/0.80 % (23161)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.75/0.80 % (23161)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.75/0.80 % (23161)Termination reason: Refutation
% 2.75/0.80
% 2.75/0.80 % (23161)Memory used [KB]: 7547
% 2.75/0.80 % (23161)Time elapsed: 0.341 s
% 2.75/0.80 % (23161)Instructions burned: 142 (million)
% 2.75/0.80 % (23161)------------------------------
% 2.75/0.80 % (23161)------------------------------
% 2.75/0.80 % (23135)Success in time 0.426 s
%------------------------------------------------------------------------------