TSTP Solution File: SYO578+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO578+1 : TPTP v8.2.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.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 : Tue May 21 09:13:42 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 5 unt; 0 def)
% Number of atoms : 163 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 196 ( 69 ~; 53 |; 55 &)
% ( 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 : 55 ( 30 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1100,plain,
$false,
inference(avatar_sat_refutation,[],[f584,f589,f600,f1096,f1099]) ).
fof(f1099,plain,
( ~ spl72_2
| spl72_4
| ~ spl72_5 ),
inference(avatar_contradiction_clause,[],[f1098]) ).
fof(f1098,plain,
( $false
| ~ spl72_2
| spl72_4
| ~ spl72_5 ),
inference(subsumption_resolution,[],[f1097,f583]) ).
fof(f583,plain,
( ~ b48_buttercup10098(sK15)
| spl72_4 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f581,plain,
( spl72_4
<=> b48_buttercup10098(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_4])]) ).
fof(f1097,plain,
( b48_buttercup10098(sK15)
| ~ spl72_2
| ~ spl72_5 ),
inference(resolution,[],[f588,f575]) ).
fof(f575,plain,
( ! [X2] :
( ~ k04_buttercup10100(X2)
| b48_buttercup10098(X2) )
| ~ spl72_2 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f574,plain,
( spl72_2
<=> ! [X2] :
( b48_buttercup10098(X2)
| ~ k04_buttercup10100(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_2])]) ).
fof(f588,plain,
( k04_buttercup10100(sK15)
| ~ spl72_5 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f586,plain,
( spl72_5
<=> k04_buttercup10100(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_5])]) ).
fof(f1096,plain,
~ spl72_3,
inference(avatar_contradiction_clause,[],[f1095]) ).
fof(f1095,plain,
( $false
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f1093,f413]) ).
fof(f413,plain,
b48_buttercup10098(sK24),
inference(cnf_transformation,[],[f288]) ).
fof(f288,plain,
( ~ k04_buttercup10100(sK24)
& b48_buttercup10098(sK24)
& ! [X1] :
( b48_buttercup10098(X1)
| ~ k04_buttercup10100(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f181,f287]) ).
fof(f287,plain,
( ? [X0] :
( ~ k04_buttercup10100(X0)
& b48_buttercup10098(X0) )
=> ( ~ k04_buttercup10100(sK24)
& b48_buttercup10098(sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f181,plain,
( ? [X0] :
( ~ k04_buttercup10100(X0)
& b48_buttercup10098(X0) )
& ! [X1] :
( b48_buttercup10098(X1)
| ~ k04_buttercup10100(X1) ) ),
inference(ennf_transformation,[],[f96]) ).
fof(f96,plain,
( ? [X0] :
( ~ k04_buttercup10100(X0)
& b48_buttercup10098(X0) )
& ! [X1] :
( k04_buttercup10100(X1)
=> b48_buttercup10098(X1) ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
( ? [X62] :
( ~ k04_buttercup10100(X62)
& b48_buttercup10098(X62) )
& ! [X61] :
( k04_buttercup10100(X61)
=> b48_buttercup10098(X61) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_21) ).
fof(f1093,plain,
( ~ b48_buttercup10098(sK24)
| ~ spl72_3 ),
inference(resolution,[],[f578,f414]) ).
fof(f414,plain,
~ k04_buttercup10100(sK24),
inference(cnf_transformation,[],[f288]) ).
fof(f578,plain,
( ! [X3] :
( k04_buttercup10100(X3)
| ~ b48_buttercup10098(X3) )
| ~ spl72_3 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f577,plain,
( spl72_3
<=> ! [X3] :
( ~ b48_buttercup10098(X3)
| k04_buttercup10100(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_3])]) ).
fof(f600,plain,
spl72_2,
inference(avatar_split_clause,[],[f412,f574]) ).
fof(f412,plain,
! [X1] :
( b48_buttercup10098(X1)
| ~ k04_buttercup10100(X1) ),
inference(cnf_transformation,[],[f288]) ).
fof(f589,plain,
( spl72_5
| spl72_3 ),
inference(avatar_split_clause,[],[f386,f577,f586]) ).
fof(f386,plain,
! [X4] :
( k04_buttercup10100(X4)
| ~ b48_buttercup10098(X4)
| k04_buttercup10100(sK15) ),
inference(cnf_transformation,[],[f272]) ).
fof(f272,plain,
( b48_buttercup10098(sK14)
& k04_buttercup10100(sK14)
& ! [X1,X2,X3] :
( ~ b48_buttercup10098(X3)
| k04_buttercup10100(X3)
| b48_buttercup10098(X2)
| ~ k04_buttercup10100(X2)
| ~ b48_buttercup10098(X1)
| ~ k04_buttercup10100(X1) )
& ( ! [X4] :
( k04_buttercup10100(X4)
| ~ b48_buttercup10098(X4) )
| ( ~ b48_buttercup10098(sK15)
& k04_buttercup10100(sK15) ) )
& ( ! [X6] :
( b48_buttercup10098(X6)
| ~ k04_buttercup10100(X6) )
| ( ~ k04_buttercup10100(sK16)
& b48_buttercup10098(sK16) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16])],[f173,f271,f270,f269]) ).
fof(f269,plain,
( ? [X0] :
( b48_buttercup10098(X0)
& k04_buttercup10100(X0) )
=> ( b48_buttercup10098(sK14)
& k04_buttercup10100(sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f270,plain,
( ? [X5] :
( ~ b48_buttercup10098(X5)
& k04_buttercup10100(X5) )
=> ( ~ b48_buttercup10098(sK15)
& k04_buttercup10100(sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f271,plain,
( ? [X7] :
( ~ k04_buttercup10100(X7)
& b48_buttercup10098(X7) )
=> ( ~ k04_buttercup10100(sK16)
& b48_buttercup10098(sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f173,plain,
( ? [X0] :
( b48_buttercup10098(X0)
& k04_buttercup10100(X0) )
& ! [X1,X2,X3] :
( ~ b48_buttercup10098(X3)
| k04_buttercup10100(X3)
| b48_buttercup10098(X2)
| ~ k04_buttercup10100(X2)
| ~ b48_buttercup10098(X1)
| ~ k04_buttercup10100(X1) )
& ( ! [X4] :
( k04_buttercup10100(X4)
| ~ b48_buttercup10098(X4) )
| ? [X5] :
( ~ b48_buttercup10098(X5)
& k04_buttercup10100(X5) ) )
& ( ! [X6] :
( b48_buttercup10098(X6)
| ~ k04_buttercup10100(X6) )
| ? [X7] :
( ~ k04_buttercup10100(X7)
& b48_buttercup10098(X7) ) ) ),
inference(ennf_transformation,[],[f88]) ).
fof(f88,plain,
~ ( ! [X0] :
( k04_buttercup10100(X0)
=> ~ b48_buttercup10098(X0) )
| ? [X1,X2,X3] :
( b48_buttercup10098(X3)
& ~ k04_buttercup10100(X3)
& ~ b48_buttercup10098(X2)
& k04_buttercup10100(X2)
& b48_buttercup10098(X1)
& k04_buttercup10100(X1) )
| ( ? [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,[],[f87]) ).
fof(f87,negated_conjecture,
~ ( ! [X149] :
( k04_buttercup10100(X149)
=> ~ b48_buttercup10098(X149) )
| ? [X146,X147,X148] :
( b48_buttercup10098(X148)
& ~ k04_buttercup10100(X148)
& ~ b48_buttercup10098(X147)
& k04_buttercup10100(X147)
& b48_buttercup10098(X146)
& k04_buttercup10100(X146) )
| ( ? [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) ) ) ),
inference(negated_conjecture,[],[f86]) ).
fof(f86,conjecture,
( ! [X149] :
( k04_buttercup10100(X149)
=> ~ b48_buttercup10098(X149) )
| ? [X146,X147,X148] :
( b48_buttercup10098(X148)
& ~ k04_buttercup10100(X148)
& ~ b48_buttercup10098(X147)
& k04_buttercup10100(X147)
& b48_buttercup10098(X146)
& k04_buttercup10100(X146) )
| ( ? [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) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_86) ).
fof(f584,plain,
( ~ spl72_4
| spl72_3 ),
inference(avatar_split_clause,[],[f387,f577,f581]) ).
fof(f387,plain,
! [X4] :
( k04_buttercup10100(X4)
| ~ b48_buttercup10098(X4)
| ~ b48_buttercup10098(sK15) ),
inference(cnf_transformation,[],[f272]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO578+1 : TPTP v8.2.0. Released v5.5.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 10:03:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (25619)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (25620)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (25621)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (25622)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.38 % (25623)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 % (25625)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (25626)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 Detected minimum model sizes of [1]
% 0.14/0.38 Detected maximum model sizes of [58]
% 0.14/0.38 % (25624)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 Detected minimum model sizes of [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 Detected maximum model sizes of [58]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (25625)First to succeed.
% 0.14/0.38 TRYING [1]
% 0.14/0.38 Detected minimum model sizes of [1]
% 0.14/0.38 Detected maximum model sizes of [58]
% 0.14/0.38 Detected minimum model sizes of [1]
% 0.14/0.38 Detected maximum model sizes of [58]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (25625)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25619"
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (25625)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (25625)------------------------------
% 0.14/0.38 % (25625)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (25625)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (25625)Memory used [KB]: 1138
% 0.14/0.38 % (25625)Time elapsed: 0.008 s
% 0.14/0.38 % (25625)Instructions burned: 11 (million)
% 0.14/0.38 % (25619)Success in time 0.024 s
%------------------------------------------------------------------------------