TSTP Solution File: LCL524+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL524+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:48:37 EDT 2022
% Result : Theorem 3.92s 1.10s
% Output : Refutation 3.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 37
% Syntax : Number of formulae : 149 ( 39 unt; 0 def)
% Number of atoms : 304 ( 14 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 270 ( 115 ~; 108 |; 3 &)
% ( 27 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 27 ( 25 usr; 25 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 186 ( 184 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4317,plain,
$false,
inference(avatar_sat_refutation,[],[f247,f264,f272,f281,f291,f293,f303,f304,f309,f312,f3728,f4089,f4312]) ).
fof(f4312,plain,
~ spl1_17,
inference(avatar_contradiction_clause,[],[f4157]) ).
fof(f4157,plain,
( $false
| ~ spl1_17 ),
inference(resolution,[],[f1201,f311]) ).
fof(f311,plain,
! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))),
inference(subsumption_resolution,[],[f186,f187]) ).
fof(f187,plain,
equivalence_2,
inference(cnf_transformation,[],[f47]) ).
fof(f47,axiom,
equivalence_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_equivalence_2) ).
fof(f186,plain,
! [X0,X1] :
( ~ equivalence_2
| is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
( ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X1,X0)))
| ~ equivalence_2 ),
inference(rectify,[],[f155]) ).
fof(f155,plain,
( ! [X1,X0] : is_a_theorem(implies(equiv(X1,X0),implies(X0,X1)))
| ~ equivalence_2 ),
inference(ennf_transformation,[],[f127]) ).
fof(f127,plain,
( equivalence_2
=> ! [X1,X0] : is_a_theorem(implies(equiv(X1,X0),implies(X0,X1))) ),
inference(unused_predicate_definition_removal,[],[f105]) ).
fof(f105,plain,
( equivalence_2
<=> ! [X1,X0] : is_a_theorem(implies(equiv(X1,X0),implies(X0,X1))) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
( ! [X1,X0] : is_a_theorem(implies(equiv(X0,X1),implies(X1,X0)))
<=> equivalence_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equivalence_2) ).
fof(f1201,plain,
( ! [X1] : ~ is_a_theorem(X1)
| ~ spl1_17 ),
inference(avatar_component_clause,[],[f1200]) ).
fof(f1200,plain,
( spl1_17
<=> ! [X1] : ~ is_a_theorem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_17])]) ).
fof(f4089,plain,
( spl1_12
| ~ spl1_25 ),
inference(avatar_contradiction_clause,[],[f4088]) ).
fof(f4088,plain,
( $false
| spl1_12
| ~ spl1_25 ),
inference(subsumption_resolution,[],[f4083,f3727]) ).
fof(f3727,plain,
( ! [X3] : is_a_theorem(implies(X3,possibly(X3)))
| ~ spl1_25 ),
inference(avatar_component_clause,[],[f3726]) ).
fof(f3726,plain,
( spl1_25
<=> ! [X3] : is_a_theorem(implies(X3,possibly(X3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_25])]) ).
fof(f4083,plain,
( ~ is_a_theorem(implies(sK0,possibly(sK0)))
| spl1_12 ),
inference(resolution,[],[f873,f280]) ).
fof(f280,plain,
( ~ is_a_theorem(implies(sK0,necessarily(possibly(sK0))))
| spl1_12 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f278,plain,
( spl1_12
<=> is_a_theorem(implies(sK0,necessarily(possibly(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_12])]) ).
fof(f873,plain,
! [X121,X122] :
( is_a_theorem(implies(X121,necessarily(possibly(X122))))
| ~ is_a_theorem(implies(X121,possibly(X122))) ),
inference(resolution,[],[f521,f297]) ).
fof(f297,plain,
! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0)))),
inference(subsumption_resolution,[],[f196,f229]) ).
fof(f229,plain,
axiom_5,
inference(cnf_transformation,[],[f81]) ).
fof(f81,axiom,
axiom_5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',km5_axiom_5) ).
fof(f196,plain,
! [X0] :
( is_a_theorem(implies(possibly(X0),necessarily(possibly(X0))))
| ~ axiom_5 ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
( ! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0))))
| ~ axiom_5 ),
inference(ennf_transformation,[],[f121]) ).
fof(f121,plain,
( axiom_5
=> ! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0)))) ),
inference(unused_predicate_definition_removal,[],[f58]) ).
fof(f58,axiom,
( ! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0))))
<=> axiom_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f521,plain,
! [X6,X7,X5] :
( ~ is_a_theorem(implies(X6,X7))
| is_a_theorem(implies(X5,X7))
| ~ is_a_theorem(implies(X5,X6)) ),
inference(resolution,[],[f371,f296]) ).
fof(f296,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(subsumption_resolution,[],[f190,f217]) ).
fof(f217,plain,
modus_ponens,
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
modus_ponens,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_modus_ponens) ).
fof(f190,plain,
! [X0,X1] :
( ~ modus_ponens
| ~ is_a_theorem(X0)
| is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
( ! [X0,X1] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1) )
| ~ modus_ponens ),
inference(rectify,[],[f148]) ).
fof(f148,plain,
( ! [X1,X0] :
( ~ is_a_theorem(X1)
| ~ is_a_theorem(implies(X1,X0))
| is_a_theorem(X0) )
| ~ modus_ponens ),
inference(flattening,[],[f147]) ).
fof(f147,plain,
( ! [X0,X1] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X1) )
| ~ modus_ponens ),
inference(ennf_transformation,[],[f140]) ).
fof(f140,plain,
( modus_ponens
=> ! [X0,X1] :
( ( is_a_theorem(implies(X1,X0))
& is_a_theorem(X1) )
=> is_a_theorem(X0) ) ),
inference(unused_predicate_definition_removal,[],[f89]) ).
fof(f89,plain,
( ! [X0,X1] :
( ( is_a_theorem(implies(X1,X0))
& is_a_theorem(X1) )
=> is_a_theorem(X0) )
<=> modus_ponens ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
( ! [X1,X0] :
( ( 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(f371,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f299,f296]) ).
fof(f299,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X0),implies(X1,X0)))),
inference(subsumption_resolution,[],[f192,f198]) ).
fof(f198,plain,
implies_3,
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
implies_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_implies_3) ).
fof(f192,plain,
! [X2,X0,X1] :
( ~ implies_3
| is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X0),implies(X1,X0)))) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X0),implies(X1,X0))))
| ~ implies_3 ),
inference(rectify,[],[f157]) ).
fof(f157,plain,
( ! [X1,X0,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X2,X1),implies(X0,X1))))
| ~ implies_3 ),
inference(ennf_transformation,[],[f135]) ).
fof(f135,plain,
( implies_3
=> ! [X1,X0,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X2,X1),implies(X0,X1)))) ),
inference(unused_predicate_definition_removal,[],[f100]) ).
fof(f100,plain,
( implies_3
<=> ! [X1,X0,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X2,X1),implies(X0,X1)))) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
( implies_3
<=> ! [X0,X2,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_3) ).
fof(f3728,plain,
( spl1_25
| spl1_17
| ~ spl1_4
| ~ spl1_7
| ~ spl1_9
| ~ spl1_14 ),
inference(avatar_split_clause,[],[f3687,f289,f266,f258,f245,f1200,f3726]) ).
fof(f245,plain,
( spl1_4
<=> ! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
fof(f258,plain,
( spl1_7
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).
fof(f266,plain,
( spl1_9
<=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).
fof(f289,plain,
( spl1_14
<=> ! [X0,X1] : is_a_theorem(implies(implies(X1,implies(X1,X0)),implies(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_14])]) ).
fof(f3687,plain,
( ! [X3,X4] :
( ~ is_a_theorem(X4)
| is_a_theorem(implies(X3,possibly(X3))) )
| ~ spl1_4
| ~ spl1_7
| ~ spl1_9
| ~ spl1_14 ),
inference(resolution,[],[f866,f2333]) ).
fof(f2333,plain,
( ! [X3,X4] :
( is_a_theorem(implies(X4,and(X3,possibly(X4))))
| ~ is_a_theorem(X3) )
| ~ spl1_4
| ~ spl1_7
| ~ spl1_9
| ~ spl1_14 ),
inference(forward_demodulation,[],[f2327,f438]) ).
fof(f438,plain,
( ! [X8,X6,X7] : implies(X8,and(X6,possibly(X7))) = not(and(X8,implies(X6,necessarily(not(X7)))))
| ~ spl1_9 ),
inference(superposition,[],[f267,f332]) ).
fof(f332,plain,
( ! [X0,X1] : not(and(X1,possibly(X0))) = implies(X1,necessarily(not(X0)))
| ~ spl1_9 ),
inference(superposition,[],[f267,f292]) ).
fof(f292,plain,
! [X0] : possibly(X0) = not(necessarily(not(X0))),
inference(subsumption_resolution,[],[f215,f205]) ).
fof(f205,plain,
op_possibly,
inference(cnf_transformation,[],[f77]) ).
fof(f77,axiom,
op_possibly,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',km5_op_possibly) ).
fof(f215,plain,
! [X0] :
( ~ op_possibly
| possibly(X0) = not(necessarily(not(X0))) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
( ! [X0] : possibly(X0) = not(necessarily(not(X0)))
| ~ op_possibly ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,axiom,
( op_possibly
=> ! [X0] : possibly(X0) = not(necessarily(not(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_possibly) ).
fof(f267,plain,
( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
| ~ spl1_9 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f2327,plain,
( ! [X3,X4] :
( ~ is_a_theorem(X3)
| is_a_theorem(not(and(X4,implies(X3,necessarily(not(X4)))))) )
| ~ spl1_4
| ~ spl1_7
| ~ spl1_9
| ~ spl1_14 ),
inference(resolution,[],[f915,f426]) ).
fof(f426,plain,
( ! [X2,X3,X4] :
( ~ is_a_theorem(implies(implies(X2,X3),not(X4)))
| is_a_theorem(not(and(X4,implies(X2,X3)))) )
| ~ spl1_4
| ~ spl1_9 ),
inference(forward_demodulation,[],[f423,f333]) ).
fof(f333,plain,
( ! [X2,X3,X4] : not(and(X4,implies(X2,X3))) = implies(X4,and(X2,not(X3)))
| ~ spl1_9 ),
inference(superposition,[],[f267,f267]) ).
fof(f423,plain,
( ! [X2,X3,X4] :
( ~ is_a_theorem(implies(implies(X2,X3),not(X4)))
| is_a_theorem(implies(X4,and(X2,not(X3)))) )
| ~ spl1_4
| ~ spl1_9 ),
inference(superposition,[],[f353,f267]) ).
fof(f353,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X1,X0)) )
| ~ spl1_4 ),
inference(resolution,[],[f246,f296]) ).
fof(f246,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0)))
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f915,plain,
( ! [X6,X5] :
( is_a_theorem(implies(implies(X5,necessarily(X6)),X6))
| ~ is_a_theorem(X5) )
| ~ spl1_7
| ~ spl1_14 ),
inference(resolution,[],[f869,f831]) ).
fof(f831,plain,
( ! [X6,X7] :
( is_a_theorem(implies(implies(X6,X7),X7))
| ~ is_a_theorem(X6) )
| ~ spl1_7
| ~ spl1_14 ),
inference(resolution,[],[f519,f319]) ).
fof(f319,plain,
( ! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) )
| ~ spl1_7 ),
inference(resolution,[],[f296,f259]) ).
fof(f259,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0)))
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f519,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) )
| ~ spl1_14 ),
inference(resolution,[],[f371,f360]) ).
fof(f360,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) )
| ~ spl1_14 ),
inference(resolution,[],[f290,f296]) ).
fof(f290,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X1,implies(X1,X0)),implies(X1,X0)))
| ~ spl1_14 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f869,plain,
! [X111,X110] :
( ~ is_a_theorem(implies(X110,necessarily(X111)))
| is_a_theorem(implies(X110,X111)) ),
inference(resolution,[],[f521,f283]) ).
fof(f283,plain,
! [X0] : is_a_theorem(implies(necessarily(X0),X0)),
inference(subsumption_resolution,[],[f231,f214]) ).
fof(f214,plain,
axiom_M,
inference(cnf_transformation,[],[f80]) ).
fof(f80,axiom,
axiom_M,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',km5_axiom_M) ).
fof(f231,plain,
! [X0] :
( is_a_theorem(implies(necessarily(X0),X0))
| ~ axiom_M ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
( ~ axiom_M
| ! [X0] : is_a_theorem(implies(necessarily(X0),X0)) ),
inference(ennf_transformation,[],[f123]) ).
fof(f123,plain,
( axiom_M
=> ! [X0] : is_a_theorem(implies(necessarily(X0),X0)) ),
inference(unused_predicate_definition_removal,[],[f55]) ).
fof(f55,axiom,
( ! [X0] : is_a_theorem(implies(necessarily(X0),X0))
<=> axiom_M ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_M) ).
fof(f866,plain,
! [X101,X102,X100] :
( ~ is_a_theorem(implies(X100,and(X102,X101)))
| is_a_theorem(implies(X100,X101)) ),
inference(resolution,[],[f521,f295]) ).
fof(f295,plain,
! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)),
inference(subsumption_resolution,[],[f202,f218]) ).
fof(f218,plain,
and_2,
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
and_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_and_2) ).
fof(f202,plain,
! [X0,X1] :
( ~ and_2
| is_a_theorem(implies(and(X0,X1),X1)) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
( ~ and_2
| ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)) ),
inference(rectify,[],[f158]) ).
fof(f158,plain,
( ~ and_2
| ! [X1,X0] : is_a_theorem(implies(and(X1,X0),X0)) ),
inference(ennf_transformation,[],[f133]) ).
fof(f133,plain,
( and_2
=> ! [X1,X0] : is_a_theorem(implies(and(X1,X0),X0)) ),
inference(unused_predicate_definition_removal,[],[f101]) ).
fof(f101,plain,
( ! [X1,X0] : is_a_theorem(implies(and(X1,X0),X0))
<=> and_2 ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
( and_2
<=> ! [X1,X0] : is_a_theorem(implies(and(X0,X1),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_2) ).
fof(f312,plain,
spl1_13,
inference(avatar_split_clause,[],[f204,f285]) ).
fof(f285,plain,
( spl1_13
<=> implies_2 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_13])]) ).
fof(f204,plain,
implies_2,
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
implies_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_implies_2) ).
fof(f309,plain,
spl1_3,
inference(avatar_split_clause,[],[f189,f241]) ).
fof(f241,plain,
( spl1_3
<=> modus_tollens ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f189,plain,
modus_tollens,
inference(cnf_transformation,[],[f36]) ).
fof(f36,axiom,
modus_tollens,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_modus_tollens) ).
fof(f304,plain,
~ spl1_11,
inference(avatar_split_clause,[],[f200,f274]) ).
fof(f274,plain,
( spl1_11
<=> axiom_B ),
introduced(avatar_definition,[new_symbols(naming,[spl1_11])]) ).
fof(f200,plain,
~ axiom_B,
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
~ axiom_B,
inference(flattening,[],[f83]) ).
fof(f83,negated_conjecture,
~ axiom_B,
inference(negated_conjecture,[],[f82]) ).
fof(f82,conjecture,
axiom_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',km4b_axiom_B) ).
fof(f303,plain,
spl1_10,
inference(avatar_split_clause,[],[f194,f269]) ).
fof(f269,plain,
( spl1_10
<=> op_implies_and ),
introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).
fof(f194,plain,
op_implies_and,
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
op_implies_and,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_implies_and) ).
fof(f293,plain,
spl1_8,
inference(avatar_split_clause,[],[f206,f261]) ).
fof(f261,plain,
( spl1_8
<=> implies_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).
fof(f206,plain,
implies_1,
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
implies_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_implies_1) ).
fof(f291,plain,
( ~ spl1_13
| spl1_14 ),
inference(avatar_split_clause,[],[f220,f289,f285]) ).
fof(f220,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X1,implies(X1,X0)),implies(X1,X0)))
| ~ implies_2 ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
( ~ implies_2
| ! [X0,X1] : is_a_theorem(implies(implies(X1,implies(X1,X0)),implies(X1,X0))) ),
inference(rectify,[],[f169]) ).
fof(f169,plain,
( ~ implies_2
| ! [X1,X0] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
inference(ennf_transformation,[],[f136]) ).
fof(f136,plain,
( implies_2
=> ! [X1,X0] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
inference(unused_predicate_definition_removal,[],[f5]) ).
fof(f5,axiom,
( implies_2
<=> ! [X1,X0] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_2) ).
fof(f281,plain,
( spl1_11
| ~ spl1_12 ),
inference(avatar_split_clause,[],[f225,f278,f274]) ).
fof(f225,plain,
( ~ is_a_theorem(implies(sK0,necessarily(possibly(sK0))))
| axiom_B ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
( axiom_B
| ~ is_a_theorem(implies(sK0,necessarily(possibly(sK0)))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f162,f182]) ).
fof(f182,plain,
( ? [X0] : ~ is_a_theorem(implies(X0,necessarily(possibly(X0))))
=> ~ is_a_theorem(implies(sK0,necessarily(possibly(sK0)))) ),
introduced(choice_axiom,[]) ).
fof(f162,plain,
( axiom_B
| ? [X0] : ~ is_a_theorem(implies(X0,necessarily(possibly(X0)))) ),
inference(ennf_transformation,[],[f122]) ).
fof(f122,plain,
( ! [X0] : is_a_theorem(implies(X0,necessarily(possibly(X0))))
=> axiom_B ),
inference(unused_predicate_definition_removal,[],[f57]) ).
fof(f57,axiom,
( ! [X0] : is_a_theorem(implies(X0,necessarily(possibly(X0))))
<=> axiom_B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_B) ).
fof(f272,plain,
( spl1_9
| ~ spl1_10 ),
inference(avatar_split_clause,[],[f185,f269,f266]) ).
fof(f185,plain,
! [X0,X1] :
( ~ op_implies_and
| implies(X0,X1) = not(and(X0,not(X1))) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
( ~ op_implies_and
| ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
inference(rectify,[],[f156]) ).
fof(f156,plain,
( ~ op_implies_and
| ! [X1,X0] : implies(X1,X0) = not(and(X1,not(X0))) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,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(f264,plain,
( spl1_7
| ~ spl1_8 ),
inference(avatar_split_clause,[],[f211,f261,f258]) ).
fof(f211,plain,
! [X0,X1] :
( ~ implies_1
| is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0)))
| ~ implies_1 ),
inference(ennf_transformation,[],[f137]) ).
fof(f137,plain,
( implies_1
=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f4,axiom,
( implies_1
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_1) ).
fof(f247,plain,
( ~ spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f193,f245,f241]) ).
fof(f193,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0)))
| ~ modus_tollens ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( ~ modus_tollens
| ! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))) ),
inference(ennf_transformation,[],[f138]) ).
fof(f138,plain,
( modus_tollens
=> ! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))) ),
inference(unused_predicate_definition_removal,[],[f112]) ).
fof(f112,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0)))
<=> modus_tollens ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
( modus_tollens
<=> ! [X1,X0] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modus_tollens) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL524+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.35 % Computer : n013.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 30 02:03:02 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.51 % (5415)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51 % (5421)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.51 % (5423)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.52 % (5437)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)
% 0.21/0.52 % (5413)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)
% 0.21/0.52 % (5439)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.53 % (5422)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)
% 0.21/0.53 % (5431)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)
% 0.21/0.53 % (5434)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)
% 0.21/0.54 % (5414)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)
% 0.21/0.54 % (5430)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)
% 0.21/0.54 % (5426)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)
% 0.21/0.54 % (5411)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)
% 0.21/0.54 TRYING [1]
% 0.21/0.54 TRYING [2]
% 0.21/0.54 % (5436)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.54 % (5424)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.54 % (5418)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.55 % (5427)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.55 % (5425)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)
% 0.21/0.55 % (5417)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)
% 0.21/0.55 % (5438)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)
% 0.21/0.55 TRYING [1]
% 0.21/0.55 % (5412)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)
% 0.21/0.55 % (5419)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.55 % (5432)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.55 % (5433)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)
% 0.21/0.55 % (5416)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)
% 0.21/0.56 % (5440)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)
% 0.21/0.56 % (5420)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)
% 0.21/0.56 % (5435)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.56 % (5418)Instruction limit reached!
% 0.21/0.56 % (5418)------------------------------
% 0.21/0.56 % (5418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (5418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (5418)Termination reason: Unknown
% 0.21/0.56 % (5418)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (5418)Memory used [KB]: 5756
% 0.21/0.56 % (5418)Time elapsed: 0.116 s
% 0.21/0.56 % (5418)Instructions burned: 8 (million)
% 0.21/0.56 % (5418)------------------------------
% 0.21/0.56 % (5418)------------------------------
% 0.21/0.56 TRYING [3]
% 0.21/0.56 % (5428)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.56 TRYING [2]
% 0.21/0.57 TRYING [1]
% 0.21/0.57 TRYING [2]
% 0.21/0.57 TRYING [3]
% 0.21/0.57 % (5419)Instruction limit reached!
% 0.21/0.57 % (5419)------------------------------
% 0.21/0.57 % (5419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (5419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (5419)Termination reason: Unknown
% 0.21/0.57 % (5419)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (5419)Memory used [KB]: 5500
% 0.21/0.57 % (5419)Time elapsed: 0.004 s
% 0.21/0.57 % (5419)Instructions burned: 3 (million)
% 0.21/0.57 % (5419)------------------------------
% 0.21/0.57 % (5419)------------------------------
% 0.21/0.57 % (5429)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.60 % (5413)Instruction limit reached!
% 0.21/0.60 % (5413)------------------------------
% 0.21/0.60 % (5413)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60 % (5413)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60 % (5413)Termination reason: Unknown
% 0.21/0.60 % (5413)Termination phase: Saturation
% 0.21/0.60
% 0.21/0.60 % (5413)Memory used [KB]: 1791
% 0.21/0.60 % (5413)Time elapsed: 0.180 s
% 0.21/0.60 % (5413)Instructions burned: 37 (million)
% 0.21/0.60 % (5413)------------------------------
% 0.21/0.60 % (5413)------------------------------
% 0.21/0.60 % (5415)Instruction limit reached!
% 0.21/0.60 % (5415)------------------------------
% 0.21/0.60 % (5415)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60 % (5417)Instruction limit reached!
% 0.21/0.60 % (5417)------------------------------
% 0.21/0.60 % (5417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.60 TRYING [3]
% 1.86/0.60 % (5421)Instruction limit reached!
% 1.86/0.60 % (5421)------------------------------
% 1.86/0.60 % (5421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.60 % (5421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.60 % (5421)Termination reason: Unknown
% 1.86/0.60 % (5421)Termination phase: Saturation
% 1.86/0.60
% 1.86/0.60 % (5421)Memory used [KB]: 6780
% 1.86/0.60 % (5421)Time elapsed: 0.178 s
% 1.86/0.60 % (5421)Instructions burned: 50 (million)
% 1.86/0.60 % (5421)------------------------------
% 1.86/0.60 % (5421)------------------------------
% 1.86/0.60 TRYING [4]
% 1.86/0.60 % (5415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.60 % (5415)Termination reason: Unknown
% 1.86/0.60 % (5415)Termination phase: Saturation
% 1.86/0.60
% 1.86/0.60 % (5415)Memory used [KB]: 6780
% 1.86/0.60 % (5415)Time elapsed: 0.174 s
% 1.86/0.60 % (5415)Instructions burned: 52 (million)
% 1.86/0.60 % (5415)------------------------------
% 1.86/0.60 % (5415)------------------------------
% 1.86/0.61 % (5416)Instruction limit reached!
% 1.86/0.61 % (5416)------------------------------
% 1.86/0.61 % (5416)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.61 % (5416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.61 % (5416)Termination reason: Unknown
% 1.86/0.61 % (5416)Termination phase: Saturation
% 1.86/0.61
% 1.86/0.61 % (5416)Memory used [KB]: 6268
% 1.86/0.61 % (5416)Time elapsed: 0.195 s
% 1.86/0.61 % (5416)Instructions burned: 48 (million)
% 1.86/0.61 % (5416)------------------------------
% 1.86/0.61 % (5416)------------------------------
% 1.86/0.61 % (5417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.61 % (5417)Termination reason: Unknown
% 1.86/0.61 % (5417)Termination phase: Finite model building SAT solving
% 1.86/0.61
% 1.86/0.61 % (5417)Memory used [KB]: 6908
% 1.86/0.61 % (5417)Time elapsed: 0.166 s
% 1.86/0.61 % (5417)Instructions burned: 53 (million)
% 1.86/0.61 % (5417)------------------------------
% 1.86/0.61 % (5417)------------------------------
% 1.86/0.61 % (5414)Instruction limit reached!
% 1.86/0.61 % (5414)------------------------------
% 1.86/0.61 % (5414)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.61 % (5414)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.61 % (5414)Termination reason: Unknown
% 1.86/0.61 % (5414)Termination phase: Saturation
% 1.86/0.61
% 1.86/0.61 % (5414)Memory used [KB]: 6524
% 1.86/0.61 % (5414)Time elapsed: 0.198 s
% 1.86/0.61 % (5414)Instructions burned: 51 (million)
% 1.86/0.61 % (5414)------------------------------
% 1.86/0.61 % (5414)------------------------------
% 2.12/0.64 TRYING [4]
% 2.12/0.65 TRYING [4]
% 2.12/0.65 % (5428)Instruction limit reached!
% 2.12/0.65 % (5428)------------------------------
% 2.12/0.65 % (5428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.65 % (5428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.65 % (5428)Termination reason: Unknown
% 2.12/0.65 % (5428)Termination phase: Finite model building constraint generation
% 2.12/0.65
% 2.12/0.65 % (5428)Memory used [KB]: 7675
% 2.12/0.65 % (5428)Time elapsed: 0.210 s
% 2.12/0.65 % (5428)Instructions burned: 59 (million)
% 2.12/0.65 % (5428)------------------------------
% 2.12/0.65 % (5428)------------------------------
% 2.12/0.65 % (5426)Instruction limit reached!
% 2.12/0.65 % (5426)------------------------------
% 2.12/0.65 % (5426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.65 % (5437)Instruction limit reached!
% 2.12/0.65 % (5437)------------------------------
% 2.12/0.65 % (5437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.65 % (5412)Instruction limit reached!
% 2.12/0.65 % (5412)------------------------------
% 2.12/0.65 % (5412)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.65 % (5412)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.65 % (5412)Termination reason: Unknown
% 2.12/0.65 % (5412)Termination phase: Saturation
% 2.12/0.65
% 2.12/0.65 % (5412)Memory used [KB]: 6780
% 2.12/0.65 % (5412)Time elapsed: 0.237 s
% 2.12/0.65 % (5412)Instructions burned: 51 (million)
% 2.12/0.65 % (5412)------------------------------
% 2.12/0.65 % (5412)------------------------------
% 2.12/0.66 % (5437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.66 % (5437)Termination reason: Unknown
% 2.12/0.66 % (5437)Termination phase: Saturation
% 2.12/0.66
% 2.12/0.66 % (5437)Memory used [KB]: 6908
% 2.12/0.66 % (5437)Time elapsed: 0.053 s
% 2.12/0.66 % (5437)Instructions burned: 68 (million)
% 2.12/0.66 % (5437)------------------------------
% 2.12/0.66 % (5437)------------------------------
% 2.12/0.66 % (5426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.66 % (5426)Termination reason: Unknown
% 2.12/0.66 % (5426)Termination phase: Saturation
% 2.12/0.66
% 2.12/0.66 % (5426)Memory used [KB]: 2302
% 2.12/0.66 % (5426)Time elapsed: 0.195 s
% 2.12/0.66 % (5426)Instructions burned: 76 (million)
% 2.12/0.66 % (5426)------------------------------
% 2.12/0.66 % (5426)------------------------------
% 2.12/0.67 % (5420)Instruction limit reached!
% 2.12/0.67 % (5420)------------------------------
% 2.12/0.67 % (5420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.67 % (5420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.67 % (5420)Termination reason: Unknown
% 2.12/0.67 % (5420)Termination phase: Saturation
% 2.12/0.67
% 2.12/0.67 % (5420)Memory used [KB]: 2174
% 2.12/0.67 % (5420)Time elapsed: 0.253 s
% 2.12/0.67 % (5420)Instructions burned: 51 (million)
% 2.12/0.67 % (5420)------------------------------
% 2.12/0.67 % (5420)------------------------------
% 2.12/0.68 % (5423)Instruction limit reached!
% 2.12/0.68 % (5423)------------------------------
% 2.12/0.68 % (5423)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.68 % (5423)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.68 % (5423)Termination reason: Unknown
% 2.12/0.68 % (5423)Termination phase: Saturation
% 2.12/0.68
% 2.12/0.68 % (5423)Memory used [KB]: 6908
% 2.12/0.68 % (5423)Time elapsed: 0.252 s
% 2.12/0.68 % (5423)Instructions burned: 101 (million)
% 2.12/0.68 % (5423)------------------------------
% 2.12/0.68 % (5423)------------------------------
% 2.12/0.68 % (5425)Instruction limit reached!
% 2.12/0.68 % (5425)------------------------------
% 2.12/0.68 % (5425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.68 % (5425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.68 % (5425)Termination reason: Unknown
% 2.12/0.68 % (5425)Termination phase: Saturation
% 2.12/0.68
% 2.12/0.68 % (5425)Memory used [KB]: 6908
% 2.12/0.68 % (5425)Time elapsed: 0.038 s
% 2.12/0.68 % (5425)Instructions burned: 70 (million)
% 2.12/0.68 % (5425)------------------------------
% 2.12/0.68 % (5425)------------------------------
% 2.12/0.69 % (5506)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 (2997ds/211Mi)
% 2.12/0.69 % (5422)Instruction limit reached!
% 2.12/0.69 % (5422)------------------------------
% 2.12/0.69 % (5422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.69 % (5422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.69 % (5422)Termination reason: Unknown
% 2.12/0.69 % (5422)Termination phase: Saturation
% 2.12/0.69
% 2.12/0.69 % (5422)Memory used [KB]: 7419
% 2.12/0.69 % (5422)Time elapsed: 0.279 s
% 2.12/0.69 % (5422)Instructions burned: 100 (million)
% 2.12/0.69 % (5422)------------------------------
% 2.12/0.69 % (5422)------------------------------
% 2.12/0.70 % (5501)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)
% 2.12/0.70 % (5424)Instruction limit reached!
% 2.12/0.70 % (5424)------------------------------
% 2.12/0.70 % (5424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.70 % (5424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.70 % (5424)Termination reason: Unknown
% 2.12/0.70 % (5424)Termination phase: Saturation
% 2.12/0.70
% 2.12/0.70 % (5424)Memory used [KB]: 7291
% 2.12/0.70 % (5424)Time elapsed: 0.267 s
% 2.12/0.70 % (5424)Instructions burned: 99 (million)
% 2.12/0.70 % (5424)------------------------------
% 2.12/0.70 % (5424)------------------------------
% 2.61/0.71 % (5430)Instruction limit reached!
% 2.61/0.71 % (5430)------------------------------
% 2.61/0.71 % (5430)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.61/0.71 % (5430)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.71 % (5430)Termination reason: Unknown
% 2.61/0.71 % (5430)Termination phase: Saturation
% 2.61/0.71
% 2.61/0.71 % (5430)Memory used [KB]: 2814
% 2.61/0.71 % (5430)Time elapsed: 0.312 s
% 2.61/0.71 % (5430)Instructions burned: 100 (million)
% 2.61/0.71 % (5430)------------------------------
% 2.61/0.71 % (5430)------------------------------
% 2.61/0.72 % (5427)Instruction limit reached!
% 2.61/0.72 % (5427)------------------------------
% 2.61/0.72 % (5427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.61/0.73 % (5513)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)
% 2.61/0.73 % (5518)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)
% 2.61/0.73 % (5515)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.61/0.74 % (5427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.74 % (5427)Termination reason: Unknown
% 2.61/0.74 % (5427)Termination phase: Saturation
% 2.61/0.74
% 2.61/0.74 % (5427)Memory used [KB]: 6780
% 2.61/0.74 % (5427)Time elapsed: 0.316 s
% 2.61/0.74 % (5427)Instructions burned: 100 (million)
% 2.61/0.74 % (5427)------------------------------
% 2.61/0.74 % (5427)------------------------------
% 2.61/0.74 % (5514)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.61/0.74 % (5521)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)
% 2.61/0.76 % (5523)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)
% 2.61/0.76 % (5429)Instruction limit reached!
% 2.61/0.76 % (5429)------------------------------
% 2.61/0.76 % (5429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.61/0.76 % (5429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.76 % (5429)Termination reason: Unknown
% 2.61/0.76 % (5429)Termination phase: Saturation
% 2.61/0.76
% 2.61/0.76 % (5429)Memory used [KB]: 7419
% 2.61/0.76 % (5429)Time elapsed: 0.357 s
% 2.61/0.76 % (5429)Instructions burned: 100 (million)
% 2.61/0.76 % (5429)------------------------------
% 2.61/0.76 % (5429)------------------------------
% 2.61/0.77 % (5544)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)
% 2.87/0.78 % (5432)Instruction limit reached!
% 2.87/0.78 % (5432)------------------------------
% 2.87/0.78 % (5432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.78 % (5432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.78 % (5432)Termination reason: Unknown
% 2.87/0.78 % (5432)Termination phase: Saturation
% 2.87/0.78
% 2.87/0.78 % (5432)Memory used [KB]: 8059
% 2.87/0.78 % (5432)Time elapsed: 0.357 s
% 2.87/0.78 % (5432)Instructions burned: 138 (million)
% 2.87/0.78 % (5432)------------------------------
% 2.87/0.78 % (5432)------------------------------
% 2.87/0.78 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.87/0.78 % (5550)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)
% 2.87/0.79 % (5558)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.87/0.80 % (5553)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)
% 2.87/0.80 % (5560)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.87/0.81 TRYING [5]
% 2.87/0.81 % (5565)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.87/0.82 % (5555)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)
% 2.87/0.82 % (5562)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.87/0.82 % (5567)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 (2996ds/68Mi)
% 2.87/0.84 % (5431)Instruction limit reached!
% 2.87/0.84 % (5431)------------------------------
% 2.87/0.84 % (5431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.84 % (5431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.84 % (5431)Termination reason: Unknown
% 2.87/0.84 % (5431)Termination phase: Saturation
% 2.87/0.84
% 2.87/0.84 % (5431)Memory used [KB]: 8443
% 2.87/0.84 % (5431)Time elapsed: 0.438 s
% 2.87/0.84 % (5431)Instructions burned: 178 (million)
% 2.87/0.84 % (5431)------------------------------
% 2.87/0.84 % (5431)------------------------------
% 2.87/0.85 % (5566)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 3.17/0.87 % (5568)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 3.17/0.88 % (5438)Instruction limit reached!
% 3.17/0.88 % (5438)------------------------------
% 3.17/0.88 % (5438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.17/0.88 % (5438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.17/0.88 % (5438)Termination reason: Unknown
% 3.17/0.88 % (5438)Termination phase: Saturation
% 3.17/0.88
% 3.17/0.88 % (5438)Memory used [KB]: 4221
% 3.17/0.88 % (5438)Time elapsed: 0.468 s
% 3.17/0.88 % (5438)Instructions burned: 177 (million)
% 3.17/0.88 % (5438)------------------------------
% 3.17/0.88 % (5438)------------------------------
% 3.17/0.88 % (5570)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.17/0.89 % (5523)Instruction limit reached!
% 3.17/0.89 % (5523)------------------------------
% 3.17/0.89 % (5523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.17/0.89 % (5523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.17/0.89 % (5523)Termination reason: Unknown
% 3.17/0.89 % (5523)Termination phase: Saturation
% 3.17/0.89
% 3.17/0.89 % (5523)Memory used [KB]: 7036
% 3.17/0.89 % (5523)Time elapsed: 0.038 s
% 3.17/0.89 % (5523)Instructions burned: 69 (million)
% 3.17/0.89 % (5523)------------------------------
% 3.17/0.89 % (5523)------------------------------
% 3.27/0.89 % (5513)Instruction limit reached!
% 3.27/0.89 % (5513)------------------------------
% 3.27/0.89 % (5513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.27/0.89 % (5513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.27/0.89 % (5513)Termination reason: Unknown
% 3.27/0.89 % (5513)Termination phase: Saturation
% 3.27/0.89
% 3.27/0.89 % (5513)Memory used [KB]: 7547
% 3.27/0.89 % (5513)Time elapsed: 0.246 s
% 3.27/0.89 % (5513)Instructions burned: 90 (million)
% 3.27/0.89 % (5513)------------------------------
% 3.27/0.89 % (5513)------------------------------
% 3.27/0.90 % (5569)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 3.27/0.91 % (5567)Instruction limit reached!
% 3.27/0.91 % (5567)------------------------------
% 3.27/0.91 % (5567)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.27/0.91 % (5567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.27/0.91 % (5567)Termination reason: Unknown
% 3.27/0.91 % (5567)Termination phase: Saturation
% 3.27/0.91
% 3.27/0.91 % (5567)Memory used [KB]: 6908
% 3.27/0.91 % (5567)Time elapsed: 0.066 s
% 3.27/0.91 % (5567)Instructions burned: 68 (million)
% 3.27/0.91 % (5567)------------------------------
% 3.27/0.91 % (5567)------------------------------
% 3.49/0.96 % (5553)Instruction limit reached!
% 3.49/0.96 % (5553)------------------------------
% 3.49/0.96 % (5553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.49/0.96 % (5553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.49/0.96 % (5553)Termination reason: Unknown
% 3.49/0.96 % (5553)Termination phase: Saturation
% 3.49/0.96
% 3.49/0.96 % (5553)Memory used [KB]: 7419
% 3.49/0.96 % (5553)Time elapsed: 0.258 s
% 3.49/0.96 % (5553)Instructions burned: 90 (million)
% 3.49/0.96 % (5553)------------------------------
% 3.49/0.96 % (5553)------------------------------
% 3.49/0.96 % (5571)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.75/1.01 % (5572)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 (2994ds/90Mi)
% 3.75/1.02 % (5575)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9965Mi)
% 3.75/1.02 % (5573)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 (2994ds/2016Mi)
% 3.75/1.03 % (5574)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.75/1.07 % (5506)Instruction limit reached!
% 3.75/1.07 % (5506)------------------------------
% 3.75/1.07 % (5506)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.75/1.07 % (5506)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.75/1.07 % (5506)Termination reason: Unknown
% 3.75/1.07 % (5506)Termination phase: Saturation
% 3.75/1.07
% 3.75/1.07 % (5506)Memory used [KB]: 4349
% 3.75/1.07 % (5506)Time elapsed: 0.452 s
% 3.75/1.07 % (5506)Instructions burned: 211 (million)
% 3.75/1.07 % (5506)------------------------------
% 3.75/1.07 % (5506)------------------------------
% 3.92/1.08 % (5435)First to succeed.
% 3.92/1.10 % (5576)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9877Mi)
% 3.92/1.10 % (5435)Refutation found. Thanks to Tanya!
% 3.92/1.10 % SZS status Theorem for theBenchmark
% 3.92/1.10 % SZS output start Proof for theBenchmark
% See solution above
% 3.92/1.10 % (5435)------------------------------
% 3.92/1.10 % (5435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.92/1.10 % (5435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.92/1.10 % (5435)Termination reason: Refutation
% 3.92/1.10
% 3.92/1.10 % (5435)Memory used [KB]: 9722
% 3.92/1.10 % (5435)Time elapsed: 0.654 s
% 3.92/1.10 % (5435)Instructions burned: 298 (million)
% 3.92/1.10 % (5435)------------------------------
% 3.92/1.10 % (5435)------------------------------
% 3.92/1.10 % (5409)Success in time 0.751 s
%------------------------------------------------------------------------------