TSTP Solution File: SYO578+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYO578+1 : TPTP v8.1.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n029.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 19:47:45 EDT 2022
% Result : Theorem 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 37 ( 5 unt; 0 def)
% Number of atoms : 179 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 218 ( 76 ~; 62 |; 61 &)
% ( 4 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 63 ( 35 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f833,plain,
$false,
inference(avatar_sat_refutation,[],[f509,f780,f795,f829,f832]) ).
fof(f832,plain,
( ~ spl50_12
| spl50_73
| ~ spl50_76 ),
inference(avatar_contradiction_clause,[],[f831]) ).
fof(f831,plain,
( $false
| ~ spl50_12
| spl50_73
| ~ spl50_76 ),
inference(subsumption_resolution,[],[f830,f779]) ).
fof(f779,plain,
( ~ b48_buttercup10098(sK31)
| spl50_73 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f777,plain,
( spl50_73
<=> b48_buttercup10098(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_73])]) ).
fof(f830,plain,
( b48_buttercup10098(sK31)
| ~ spl50_12
| ~ spl50_76 ),
inference(resolution,[],[f794,f498]) ).
fof(f498,plain,
( ! [X7] :
( ~ k04_buttercup10100(X7)
| b48_buttercup10098(X7) )
| ~ spl50_12 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f497,plain,
( spl50_12
<=> ! [X7] :
( b48_buttercup10098(X7)
| ~ k04_buttercup10100(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_12])]) ).
fof(f794,plain,
( k04_buttercup10100(sK31)
| ~ spl50_76 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f792,plain,
( spl50_76
<=> k04_buttercup10100(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_76])]) ).
fof(f829,plain,
~ spl50_30,
inference(avatar_contradiction_clause,[],[f828]) ).
fof(f828,plain,
( $false
| ~ spl50_30 ),
inference(subsumption_resolution,[],[f827,f335]) ).
fof(f335,plain,
~ k04_buttercup10100(sK16),
inference(cnf_transformation,[],[f245]) ).
fof(f245,plain,
( ! [X0] :
( b48_buttercup10098(X0)
| ~ k04_buttercup10100(X0) )
& b48_buttercup10098(sK16)
& ~ k04_buttercup10100(sK16) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f185,f244]) ).
fof(f244,plain,
( ? [X1] :
( b48_buttercup10098(X1)
& ~ k04_buttercup10100(X1) )
=> ( b48_buttercup10098(sK16)
& ~ k04_buttercup10100(sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f185,plain,
( ! [X0] :
( b48_buttercup10098(X0)
| ~ k04_buttercup10100(X0) )
& ? [X1] :
( b48_buttercup10098(X1)
& ~ k04_buttercup10100(X1) ) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
( ! [X0] :
( k04_buttercup10100(X0)
=> b48_buttercup10098(X0) )
& ? [X1] :
( b48_buttercup10098(X1)
& ~ k04_buttercup10100(X1) ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
( ! [X61] :
( k04_buttercup10100(X61)
=> b48_buttercup10098(X61) )
& ? [X62] :
( b48_buttercup10098(X62)
& ~ k04_buttercup10100(X62) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).
fof(f827,plain,
( k04_buttercup10100(sK16)
| ~ spl50_30 ),
inference(resolution,[],[f336,f576]) ).
fof(f576,plain,
( ! [X0] :
( ~ b48_buttercup10098(X0)
| k04_buttercup10100(X0) )
| ~ spl50_30 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f575,plain,
( spl50_30
<=> ! [X0] :
( ~ b48_buttercup10098(X0)
| k04_buttercup10100(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_30])]) ).
fof(f336,plain,
b48_buttercup10098(sK16),
inference(cnf_transformation,[],[f245]) ).
fof(f795,plain,
( spl50_76
| spl50_30 ),
inference(avatar_split_clause,[],[f382,f575,f792]) ).
fof(f382,plain,
! [X4] :
( ~ b48_buttercup10098(X4)
| k04_buttercup10100(X4)
| k04_buttercup10100(sK31) ),
inference(cnf_transformation,[],[f277]) ).
fof(f277,plain,
( ! [X0,X1,X2] :
( k04_buttercup10100(X0)
| b48_buttercup10098(X2)
| ~ b48_buttercup10098(X1)
| ~ b48_buttercup10098(X0)
| ~ k04_buttercup10100(X2)
| ~ k04_buttercup10100(X1) )
& b48_buttercup10098(sK30)
& k04_buttercup10100(sK30)
& ( ! [X4] :
( k04_buttercup10100(X4)
| ~ b48_buttercup10098(X4) )
| ( k04_buttercup10100(sK31)
& ~ b48_buttercup10098(sK31) ) )
& ( ( b48_buttercup10098(sK32)
& ~ k04_buttercup10100(sK32) )
| ! [X7] :
( b48_buttercup10098(X7)
| ~ k04_buttercup10100(X7) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31,sK32])],[f273,f276,f275,f274]) ).
fof(f274,plain,
( ? [X3] :
( b48_buttercup10098(X3)
& k04_buttercup10100(X3) )
=> ( b48_buttercup10098(sK30)
& k04_buttercup10100(sK30) ) ),
introduced(choice_axiom,[]) ).
fof(f275,plain,
( ? [X5] :
( k04_buttercup10100(X5)
& ~ b48_buttercup10098(X5) )
=> ( k04_buttercup10100(sK31)
& ~ b48_buttercup10098(sK31) ) ),
introduced(choice_axiom,[]) ).
fof(f276,plain,
( ? [X6] :
( b48_buttercup10098(X6)
& ~ k04_buttercup10100(X6) )
=> ( b48_buttercup10098(sK32)
& ~ k04_buttercup10100(sK32) ) ),
introduced(choice_axiom,[]) ).
fof(f273,plain,
( ! [X0,X1,X2] :
( k04_buttercup10100(X0)
| b48_buttercup10098(X2)
| ~ b48_buttercup10098(X1)
| ~ b48_buttercup10098(X0)
| ~ k04_buttercup10100(X2)
| ~ k04_buttercup10100(X1) )
& ? [X3] :
( b48_buttercup10098(X3)
& k04_buttercup10100(X3) )
& ( ! [X4] :
( k04_buttercup10100(X4)
| ~ b48_buttercup10098(X4) )
| ? [X5] :
( k04_buttercup10100(X5)
& ~ b48_buttercup10098(X5) ) )
& ( ? [X6] :
( b48_buttercup10098(X6)
& ~ k04_buttercup10100(X6) )
| ! [X7] :
( b48_buttercup10098(X7)
| ~ k04_buttercup10100(X7) ) ) ),
inference(rectify,[],[f192]) ).
fof(f192,plain,
( ! [X7,X5,X6] :
( k04_buttercup10100(X7)
| b48_buttercup10098(X6)
| ~ b48_buttercup10098(X5)
| ~ b48_buttercup10098(X7)
| ~ k04_buttercup10100(X6)
| ~ k04_buttercup10100(X5) )
& ? [X0] :
( b48_buttercup10098(X0)
& k04_buttercup10100(X0) )
& ( ! [X1] :
( k04_buttercup10100(X1)
| ~ b48_buttercup10098(X1) )
| ? [X2] :
( k04_buttercup10100(X2)
& ~ b48_buttercup10098(X2) ) )
& ( ? [X4] :
( b48_buttercup10098(X4)
& ~ k04_buttercup10100(X4) )
| ! [X3] :
( b48_buttercup10098(X3)
| ~ k04_buttercup10100(X3) ) ) ),
inference(ennf_transformation,[],[f88]) ).
fof(f88,plain,
~ ( ( ! [X2] :
( k04_buttercup10100(X2)
=> b48_buttercup10098(X2) )
& ? [X1] :
( ~ k04_buttercup10100(X1)
& b48_buttercup10098(X1) ) )
| ? [X6,X7,X5] :
( ~ k04_buttercup10100(X7)
& ~ b48_buttercup10098(X6)
& b48_buttercup10098(X5)
& k04_buttercup10100(X6)
& b48_buttercup10098(X7)
& k04_buttercup10100(X5) )
| ! [X0] :
( k04_buttercup10100(X0)
=> ~ b48_buttercup10098(X0) )
| ( ! [X4] :
( b48_buttercup10098(X4)
=> k04_buttercup10100(X4) )
& ? [X3] :
( ~ b48_buttercup10098(X3)
& k04_buttercup10100(X3) ) ) ),
inference(rectify,[],[f87]) ).
fof(f87,negated_conjecture,
~ ( ! [X149] :
( k04_buttercup10100(X149)
=> ~ b48_buttercup10098(X149) )
| ( ? [X145] :
( ~ k04_buttercup10100(X145)
& b48_buttercup10098(X145) )
& ! [X144] :
( k04_buttercup10100(X144)
=> b48_buttercup10098(X144) ) )
| ( ? [X143] :
( ~ b48_buttercup10098(X143)
& k04_buttercup10100(X143) )
& ! [X142] :
( b48_buttercup10098(X142)
=> k04_buttercup10100(X142) ) )
| ? [X146,X147,X148] :
( ~ b48_buttercup10098(X147)
& ~ k04_buttercup10100(X148)
& k04_buttercup10100(X147)
& b48_buttercup10098(X146)
& b48_buttercup10098(X148)
& k04_buttercup10100(X146) ) ),
inference(negated_conjecture,[],[f86]) ).
fof(f86,conjecture,
( ! [X149] :
( k04_buttercup10100(X149)
=> ~ b48_buttercup10098(X149) )
| ( ? [X145] :
( ~ k04_buttercup10100(X145)
& b48_buttercup10098(X145) )
& ! [X144] :
( k04_buttercup10100(X144)
=> b48_buttercup10098(X144) ) )
| ( ? [X143] :
( ~ b48_buttercup10098(X143)
& k04_buttercup10100(X143) )
& ! [X142] :
( b48_buttercup10098(X142)
=> k04_buttercup10100(X142) ) )
| ? [X146,X147,X148] :
( ~ b48_buttercup10098(X147)
& ~ k04_buttercup10100(X148)
& k04_buttercup10100(X147)
& b48_buttercup10098(X146)
& b48_buttercup10098(X148)
& k04_buttercup10100(X146) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_86) ).
fof(f780,plain,
( ~ spl50_73
| spl50_30 ),
inference(avatar_split_clause,[],[f381,f575,f777]) ).
fof(f381,plain,
! [X4] :
( k04_buttercup10100(X4)
| ~ b48_buttercup10098(X4)
| ~ b48_buttercup10098(sK31) ),
inference(cnf_transformation,[],[f277]) ).
fof(f509,plain,
spl50_12,
inference(avatar_split_clause,[],[f337,f497]) ).
fof(f337,plain,
! [X0] :
( ~ k04_buttercup10100(X0)
| b48_buttercup10098(X0) ),
inference(cnf_transformation,[],[f245]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYO578+1 : TPTP v8.1.0. Released v5.5.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n029.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 23:15:27 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 % (11992)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.48 % (11992)First to succeed.
% 0.20/0.48 % (11992)Refutation found. Thanks to Tanya!
% 0.20/0.48 % SZS status Theorem for theBenchmark
% 0.20/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48 % (11992)------------------------------
% 0.20/0.48 % (11992)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (11992)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (11992)Termination reason: Refutation
% 0.20/0.48
% 0.20/0.48 % (11992)Memory used [KB]: 6396
% 0.20/0.48 % (11992)Time elapsed: 0.008 s
% 0.20/0.48 % (11992)Instructions burned: 7 (million)
% 0.20/0.48 % (11992)------------------------------
% 0.20/0.48 % (11992)------------------------------
% 0.20/0.48 % (11984)Success in time 0.123 s
%------------------------------------------------------------------------------