TSTP Solution File: SYO578+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n025.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 19:51:24 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 35 ( 4 unt; 0 def)
% Number of atoms : 173 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 210 ( 72 ~; 57 |; 63 &)
% ( 3 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 63 ( 34 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1119,plain,
$false,
inference(avatar_sat_refutation,[],[f639,f783,f1081,f1118]) ).
fof(f1118,plain,
( spl72_14
| ~ spl72_46 ),
inference(avatar_contradiction_clause,[],[f1117]) ).
fof(f1117,plain,
( $false
| spl72_14
| ~ spl72_46 ),
inference(subsumption_resolution,[],[f1112,f638]) ).
fof(f638,plain,
( ~ b48_buttercup10098(sK31)
| spl72_14 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f636,plain,
( spl72_14
<=> b48_buttercup10098(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_14])]) ).
fof(f1112,plain,
( b48_buttercup10098(sK31)
| ~ spl72_46 ),
inference(resolution,[],[f494,f782]) ).
fof(f782,plain,
( k04_buttercup10100(sK31)
| ~ spl72_46 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f780,plain,
( spl72_46
<=> k04_buttercup10100(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_46])]) ).
fof(f494,plain,
! [X1] :
( ~ k04_buttercup10100(X1)
| b48_buttercup10098(X1) ),
inference(cnf_transformation,[],[f341]) ).
fof(f341,plain,
( ~ k04_buttercup10100(sK48)
& b48_buttercup10098(sK48)
& ! [X1] :
( ~ k04_buttercup10100(X1)
| b48_buttercup10098(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48])],[f339,f340]) ).
fof(f340,plain,
( ? [X0] :
( ~ k04_buttercup10100(X0)
& b48_buttercup10098(X0) )
=> ( ~ k04_buttercup10100(sK48)
& b48_buttercup10098(sK48) ) ),
introduced(choice_axiom,[]) ).
fof(f339,plain,
( ? [X0] :
( ~ k04_buttercup10100(X0)
& b48_buttercup10098(X0) )
& ! [X1] :
( ~ k04_buttercup10100(X1)
| b48_buttercup10098(X1) ) ),
inference(rectify,[],[f199]) ).
fof(f199,plain,
( ? [X1] :
( ~ k04_buttercup10100(X1)
& b48_buttercup10098(X1) )
& ! [X0] :
( ~ k04_buttercup10100(X0)
| b48_buttercup10098(X0) ) ),
inference(ennf_transformation,[],[f122]) ).
fof(f122,plain,
( ? [X1] :
( ~ k04_buttercup10100(X1)
& b48_buttercup10098(X1) )
& ! [X0] :
( k04_buttercup10100(X0)
=> b48_buttercup10098(X0) ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
( ! [X61] :
( k04_buttercup10100(X61)
=> b48_buttercup10098(X61) )
& ? [X62] :
( ~ k04_buttercup10100(X62)
& b48_buttercup10098(X62) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_21) ).
fof(f1081,plain,
~ spl72_13,
inference(avatar_contradiction_clause,[],[f1080]) ).
fof(f1080,plain,
( $false
| ~ spl72_13 ),
inference(subsumption_resolution,[],[f1079,f496]) ).
fof(f496,plain,
~ k04_buttercup10100(sK48),
inference(cnf_transformation,[],[f341]) ).
fof(f1079,plain,
( k04_buttercup10100(sK48)
| ~ spl72_13 ),
inference(resolution,[],[f634,f495]) ).
fof(f495,plain,
b48_buttercup10098(sK48),
inference(cnf_transformation,[],[f341]) ).
fof(f634,plain,
( ! [X7] :
( ~ b48_buttercup10098(X7)
| k04_buttercup10100(X7) )
| ~ spl72_13 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f633,plain,
( spl72_13
<=> ! [X7] :
( ~ b48_buttercup10098(X7)
| k04_buttercup10100(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_13])]) ).
fof(f783,plain,
( spl72_46
| spl72_13 ),
inference(avatar_split_clause,[],[f441,f633,f780]) ).
fof(f441,plain,
! [X7] :
( ~ b48_buttercup10098(X7)
| k04_buttercup10100(sK31)
| k04_buttercup10100(X7) ),
inference(cnf_transformation,[],[f304]) ).
fof(f304,plain,
( b48_buttercup10098(sK29)
& k04_buttercup10100(sK29)
& ! [X1,X2,X3] :
( ~ k04_buttercup10100(X3)
| ~ k04_buttercup10100(X2)
| ~ b48_buttercup10098(X1)
| k04_buttercup10100(X1)
| b48_buttercup10098(X2)
| ~ b48_buttercup10098(X3) )
& ( ! [X4] :
( ~ k04_buttercup10100(X4)
| b48_buttercup10098(X4) )
| ( ~ k04_buttercup10100(sK30)
& b48_buttercup10098(sK30) ) )
& ( ( k04_buttercup10100(sK31)
& ~ b48_buttercup10098(sK31) )
| ! [X7] :
( ~ b48_buttercup10098(X7)
| k04_buttercup10100(X7) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29,sK30,sK31])],[f300,f303,f302,f301]) ).
fof(f301,plain,
( ? [X0] :
( b48_buttercup10098(X0)
& k04_buttercup10100(X0) )
=> ( b48_buttercup10098(sK29)
& k04_buttercup10100(sK29) ) ),
introduced(choice_axiom,[]) ).
fof(f302,plain,
( ? [X5] :
( ~ k04_buttercup10100(X5)
& b48_buttercup10098(X5) )
=> ( ~ k04_buttercup10100(sK30)
& b48_buttercup10098(sK30) ) ),
introduced(choice_axiom,[]) ).
fof(f303,plain,
( ? [X6] :
( k04_buttercup10100(X6)
& ~ b48_buttercup10098(X6) )
=> ( k04_buttercup10100(sK31)
& ~ b48_buttercup10098(sK31) ) ),
introduced(choice_axiom,[]) ).
fof(f300,plain,
( ? [X0] :
( b48_buttercup10098(X0)
& k04_buttercup10100(X0) )
& ! [X1,X2,X3] :
( ~ k04_buttercup10100(X3)
| ~ k04_buttercup10100(X2)
| ~ b48_buttercup10098(X1)
| k04_buttercup10100(X1)
| b48_buttercup10098(X2)
| ~ b48_buttercup10098(X3) )
& ( ! [X4] :
( ~ k04_buttercup10100(X4)
| b48_buttercup10098(X4) )
| ? [X5] :
( ~ k04_buttercup10100(X5)
& b48_buttercup10098(X5) ) )
& ( ? [X6] :
( k04_buttercup10100(X6)
& ~ b48_buttercup10098(X6) )
| ! [X7] :
( ~ b48_buttercup10098(X7)
| k04_buttercup10100(X7) ) ) ),
inference(rectify,[],[f246]) ).
fof(f246,plain,
( ? [X7] :
( b48_buttercup10098(X7)
& k04_buttercup10100(X7) )
& ! [X4,X5,X6] :
( ~ k04_buttercup10100(X6)
| ~ k04_buttercup10100(X5)
| ~ b48_buttercup10098(X4)
| k04_buttercup10100(X4)
| b48_buttercup10098(X5)
| ~ b48_buttercup10098(X6) )
& ( ! [X3] :
( ~ k04_buttercup10100(X3)
| b48_buttercup10098(X3) )
| ? [X2] :
( ~ k04_buttercup10100(X2)
& b48_buttercup10098(X2) ) )
& ( ? [X0] :
( k04_buttercup10100(X0)
& ~ b48_buttercup10098(X0) )
| ! [X1] :
( ~ b48_buttercup10098(X1)
| k04_buttercup10100(X1) ) ) ),
inference(ennf_transformation,[],[f123]) ).
fof(f123,plain,
~ ( ( ? [X3] :
( ~ b48_buttercup10098(X3)
& k04_buttercup10100(X3) )
& ! [X2] :
( b48_buttercup10098(X2)
=> k04_buttercup10100(X2) ) )
| ( ! [X0] :
( k04_buttercup10100(X0)
=> b48_buttercup10098(X0) )
& ? [X1] :
( ~ k04_buttercup10100(X1)
& b48_buttercup10098(X1) ) )
| ! [X7] :
( k04_buttercup10100(X7)
=> ~ b48_buttercup10098(X7) )
| ? [X5,X4,X6] :
( b48_buttercup10098(X6)
& k04_buttercup10100(X6)
& b48_buttercup10098(X4)
& ~ k04_buttercup10100(X4)
& ~ b48_buttercup10098(X5)
& k04_buttercup10100(X5) ) ),
inference(rectify,[],[f87]) ).
fof(f87,negated_conjecture,
~ ( ( ! [X144] :
( k04_buttercup10100(X144)
=> b48_buttercup10098(X144) )
& ? [X145] :
( b48_buttercup10098(X145)
& ~ k04_buttercup10100(X145) ) )
| ( ! [X142] :
( b48_buttercup10098(X142)
=> k04_buttercup10100(X142) )
& ? [X143] :
( k04_buttercup10100(X143)
& ~ b48_buttercup10098(X143) ) )
| ? [X148,X147,X146] :
( b48_buttercup10098(X146)
& ~ k04_buttercup10100(X148)
& k04_buttercup10100(X146)
& k04_buttercup10100(X147)
& b48_buttercup10098(X148)
& ~ b48_buttercup10098(X147) )
| ! [X149] :
( k04_buttercup10100(X149)
=> ~ b48_buttercup10098(X149) ) ),
inference(negated_conjecture,[],[f86]) ).
fof(f86,conjecture,
( ( ! [X144] :
( k04_buttercup10100(X144)
=> b48_buttercup10098(X144) )
& ? [X145] :
( b48_buttercup10098(X145)
& ~ k04_buttercup10100(X145) ) )
| ( ! [X142] :
( b48_buttercup10098(X142)
=> k04_buttercup10100(X142) )
& ? [X143] :
( k04_buttercup10100(X143)
& ~ b48_buttercup10098(X143) ) )
| ? [X148,X147,X146] :
( b48_buttercup10098(X146)
& ~ k04_buttercup10100(X148)
& k04_buttercup10100(X146)
& k04_buttercup10100(X147)
& b48_buttercup10098(X148)
& ~ b48_buttercup10098(X147) )
| ! [X149] :
( k04_buttercup10100(X149)
=> ~ b48_buttercup10098(X149) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_86) ).
fof(f639,plain,
( spl72_13
| ~ spl72_14 ),
inference(avatar_split_clause,[],[f440,f636,f633]) ).
fof(f440,plain,
! [X7] :
( ~ b48_buttercup10098(sK31)
| ~ b48_buttercup10098(X7)
| k04_buttercup10100(X7) ),
inference(cnf_transformation,[],[f304]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYO578+1 : TPTP v8.1.0. Released v5.5.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 23:14:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (13727)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.51 % (13711)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 % (13719)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)
% 0.19/0.51 % (13711)First to succeed.
% 0.19/0.51 % (13713)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)
% 0.19/0.52 % (13711)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (13711)------------------------------
% 0.19/0.52 % (13711)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (13711)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (13711)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (13711)Memory used [KB]: 6140
% 0.19/0.52 % (13711)Time elapsed: 0.108 s
% 0.19/0.52 % (13711)Instructions burned: 10 (million)
% 0.19/0.52 % (13711)------------------------------
% 0.19/0.52 % (13711)------------------------------
% 0.19/0.52 % (13698)Success in time 0.172 s
%------------------------------------------------------------------------------