TSTP Solution File: PUZ005-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ005-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.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 : Sun May 5 08:49:31 EDT 2024
% Result : Unsatisfiable 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 38
% Syntax : Number of formulae : 113 ( 5 unt; 0 def)
% Number of atoms : 248 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 240 ( 105 ~; 120 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 16 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f285,plain,
$false,
inference(avatar_sat_refutation,[],[f68,f77,f97,f99,f133,f160,f176,f180,f185,f186,f212,f222,f229,f235,f247,f254,f269,f270,f271,f278,f283,f284]) ).
fof(f284,plain,
( ~ spl0_9
| spl0_1 ),
inference(avatar_split_clause,[],[f194,f61,f126]) ).
fof(f126,plain,
( spl0_9
<=> monday(yesterday(today)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f61,plain,
( spl0_1
<=> member(yesterday(today),lying_days(lion)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f194,plain,
( ~ monday(yesterday(today))
| spl0_1 ),
inference(resolution,[],[f62,f39]) ).
fof(f39,axiom,
! [X0] :
( member(X0,lying_days(lion))
| ~ monday(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_on_monday) ).
fof(f62,plain,
( ~ member(yesterday(today),lying_days(lion))
| spl0_1 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f283,plain,
( spl0_9
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f279,f88,f126]) ).
fof(f88,plain,
( spl0_7
<=> tuesday(today) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f279,plain,
( monday(yesterday(today))
| ~ spl0_7 ),
inference(resolution,[],[f90,f30]) ).
fof(f30,axiom,
! [X0] :
( ~ tuesday(X0)
| monday(yesterday(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',yesterday_monday) ).
fof(f90,plain,
( tuesday(today)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f278,plain,
( spl0_11
| spl0_12
| spl0_13
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f277,f70,f144,f140,f136]) ).
fof(f136,plain,
( spl0_11
<=> saturday(yesterday(today)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f140,plain,
( spl0_12
<=> thursday(yesterday(today)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f144,plain,
( spl0_13
<=> friday(yesterday(today)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f70,plain,
( spl0_3
<=> member(yesterday(today),lying_days(unicorn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f277,plain,
( friday(yesterday(today))
| thursday(yesterday(today))
| saturday(yesterday(today))
| ~ spl0_3 ),
inference(resolution,[],[f72,f38]) ).
fof(f38,axiom,
! [X0] :
( ~ member(X0,lying_days(unicorn))
| friday(X0)
| thursday(X0)
| saturday(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorns_lying_days) ).
fof(f72,plain,
( member(yesterday(today),lying_days(unicorn))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f271,plain,
( spl0_5
| spl0_6
| spl0_7
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f187,f65,f88,f84,f80]) ).
fof(f80,plain,
( spl0_5
<=> wednesday(today) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f84,plain,
( spl0_6
<=> monday(today) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f65,plain,
( spl0_2
<=> member(today,lying_days(lion)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f187,plain,
( tuesday(today)
| monday(today)
| wednesday(today)
| ~ spl0_2 ),
inference(resolution,[],[f67,f37]) ).
fof(f37,axiom,
! [X0] :
( ~ member(X0,lying_days(lion))
| tuesday(X0)
| monday(X0)
| wednesday(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lions_lying_days) ).
fof(f67,plain,
( member(today,lying_days(lion))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f270,plain,
( ~ spl0_10
| spl0_1 ),
inference(avatar_split_clause,[],[f193,f61,f130]) ).
fof(f130,plain,
( spl0_10
<=> tuesday(yesterday(today)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f193,plain,
( ~ tuesday(yesterday(today))
| spl0_1 ),
inference(resolution,[],[f62,f40]) ).
fof(f40,axiom,
! [X0] :
( member(X0,lying_days(lion))
| ~ tuesday(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_on_tuesday) ).
fof(f269,plain,
( ~ spl0_6
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f266,f240,f84]) ).
fof(f240,plain,
( spl0_14
<=> saturday(today) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f266,plain,
( ~ monday(today)
| ~ spl0_14 ),
inference(resolution,[],[f242,f6]) ).
fof(f6,axiom,
! [X0] :
( ~ saturday(X0)
| ~ monday(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_not_saturday) ).
fof(f242,plain,
( saturday(today)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f254,plain,
( ~ spl0_6
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f252,f244,f84]) ).
fof(f244,plain,
( spl0_15
<=> friday(today) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f252,plain,
( ~ monday(today)
| ~ spl0_15 ),
inference(resolution,[],[f246,f5]) ).
fof(f5,axiom,
! [X0] :
( ~ friday(X0)
| ~ monday(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_not_friday) ).
fof(f246,plain,
( friday(today)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f247,plain,
( spl0_14
| spl0_15
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f238,f74,f244,f240]) ).
fof(f74,plain,
( spl0_4
<=> member(today,lying_days(unicorn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f238,plain,
( friday(today)
| saturday(today)
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f237,f51]) ).
fof(f51,axiom,
~ thursday(today),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_today_is_thursday) ).
fof(f237,plain,
( friday(today)
| thursday(today)
| saturday(today)
| ~ spl0_4 ),
inference(resolution,[],[f76,f38]) ).
fof(f76,plain,
( member(today,lying_days(unicorn))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f235,plain,
( ~ spl0_5
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f234]) ).
fof(f234,plain,
( $false
| ~ spl0_5
| spl0_10 ),
inference(subsumption_resolution,[],[f231,f131]) ).
fof(f131,plain,
( ~ tuesday(yesterday(today))
| spl0_10 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f231,plain,
( tuesday(yesterday(today))
| ~ spl0_5 ),
inference(resolution,[],[f82,f31]) ).
fof(f31,axiom,
! [X0] :
( ~ wednesday(X0)
| tuesday(yesterday(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',yesterday_tuesday) ).
fof(f82,plain,
( wednesday(today)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f229,plain,
( spl0_4
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f228]) ).
fof(f228,plain,
( $false
| spl0_4
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f223,f118]) ).
fof(f118,plain,
( ~ friday(today)
| spl0_4 ),
inference(resolution,[],[f75,f43]) ).
fof(f43,axiom,
! [X0] :
( member(X0,lying_days(unicorn))
| ~ friday(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_on_friday) ).
fof(f75,plain,
( ~ member(today,lying_days(unicorn))
| spl0_4 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f223,plain,
( friday(today)
| ~ spl0_12 ),
inference(resolution,[],[f142,f26]) ).
fof(f26,axiom,
! [X0] :
( ~ thursday(yesterday(X0))
| friday(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_yesterday) ).
fof(f142,plain,
( thursday(yesterday(today))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f222,plain,
( spl0_4
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f221]) ).
fof(f221,plain,
( $false
| spl0_4
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f215,f117]) ).
fof(f117,plain,
( ~ saturday(today)
| spl0_4 ),
inference(resolution,[],[f75,f44]) ).
fof(f44,axiom,
! [X0] :
( member(X0,lying_days(unicorn))
| ~ saturday(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_on_saturday) ).
fof(f215,plain,
( saturday(today)
| ~ spl0_13 ),
inference(resolution,[],[f146,f27]) ).
fof(f27,axiom,
! [X0] :
( ~ friday(yesterday(X0))
| saturday(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',friday_yesterday) ).
fof(f146,plain,
( friday(yesterday(today))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f212,plain,
( ~ spl0_6
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f211]) ).
fof(f211,plain,
( $false
| ~ spl0_6
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f204,f86]) ).
fof(f86,plain,
( monday(today)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f204,plain,
( ~ monday(today)
| ~ spl0_11 ),
inference(resolution,[],[f195,f7]) ).
fof(f7,axiom,
! [X0] :
( ~ sunday(X0)
| ~ monday(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_not_sunday) ).
fof(f195,plain,
( sunday(today)
| ~ spl0_11 ),
inference(resolution,[],[f138,f28]) ).
fof(f28,axiom,
! [X0] :
( ~ saturday(yesterday(X0))
| sunday(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',saturday_yesterday) ).
fof(f138,plain,
( saturday(yesterday(today))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f186,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f100,f65,f61]) ).
fof(f100,plain,
( ~ member(today,lying_days(lion))
| ~ member(yesterday(today),lying_days(lion)) ),
inference(resolution,[],[f47,f49]) ).
fof(f49,axiom,
admits(lion,today,yesterday(today)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',admissions5) ).
fof(f47,axiom,
! [X2,X0,X1] :
( ~ admits(X1,X0,X2)
| ~ member(X0,lying_days(X1))
| ~ member(X2,lying_days(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',admissions3) ).
fof(f185,plain,
( spl0_5
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f184]) ).
fof(f184,plain,
( $false
| spl0_5
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f181,f81]) ).
fof(f81,plain,
( ~ wednesday(today)
| spl0_5 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f181,plain,
( wednesday(today)
| ~ spl0_10 ),
inference(resolution,[],[f132,f24]) ).
fof(f24,axiom,
! [X0] :
( ~ tuesday(yesterday(X0))
| wednesday(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_yesterday) ).
fof(f132,plain,
( tuesday(yesterday(today))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f180,plain,
( ~ spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f178,f65,f88]) ).
fof(f178,plain,
( ~ tuesday(today)
| spl0_2 ),
inference(resolution,[],[f66,f40]) ).
fof(f66,plain,
( ~ member(today,lying_days(lion))
| spl0_2 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f176,plain,
( spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f170,f126,f88]) ).
fof(f170,plain,
( tuesday(today)
| ~ spl0_9 ),
inference(resolution,[],[f128,f23]) ).
fof(f23,axiom,
! [X0] :
( ~ monday(yesterday(X0))
| tuesday(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_yesterday) ).
fof(f128,plain,
( monday(yesterday(today))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f160,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f159]) ).
fof(f159,plain,
( $false
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f155,f51]) ).
fof(f155,plain,
( thursday(today)
| ~ spl0_8 ),
inference(resolution,[],[f124,f25]) ).
fof(f25,axiom,
! [X0] :
( ~ wednesday(yesterday(X0))
| thursday(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wednesday_yesterday) ).
fof(f124,plain,
( wednesday(yesterday(today))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f122,plain,
( spl0_8
<=> wednesday(yesterday(today)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f133,plain,
( spl0_8
| spl0_9
| spl0_10
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f120,f61,f130,f126,f122]) ).
fof(f120,plain,
( tuesday(yesterday(today))
| monday(yesterday(today))
| wednesday(yesterday(today))
| ~ spl0_1 ),
inference(resolution,[],[f63,f37]) ).
fof(f63,plain,
( member(yesterday(today),lying_days(lion))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f99,plain,
( ~ spl0_6
| spl0_2 ),
inference(avatar_split_clause,[],[f96,f65,f84]) ).
fof(f96,plain,
( ~ monday(today)
| spl0_2 ),
inference(resolution,[],[f66,f39]) ).
fof(f97,plain,
( ~ spl0_5
| spl0_2 ),
inference(avatar_split_clause,[],[f94,f65,f80]) ).
fof(f94,plain,
( ~ wednesday(today)
| spl0_2 ),
inference(resolution,[],[f66,f41]) ).
fof(f41,axiom,
! [X0] :
( member(X0,lying_days(lion))
| ~ wednesday(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_on_wednesday) ).
fof(f77,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f59,f74,f70]) ).
fof(f59,plain,
( member(today,lying_days(unicorn))
| member(yesterday(today),lying_days(unicorn)) ),
inference(resolution,[],[f45,f50]) ).
fof(f50,axiom,
admits(unicorn,today,yesterday(today)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',admissions6) ).
fof(f45,axiom,
! [X2,X0,X1] :
( ~ admits(X1,X0,X2)
| member(X0,lying_days(X1))
| member(X2,lying_days(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',admissions1) ).
fof(f68,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f58,f65,f61]) ).
fof(f58,plain,
( member(today,lying_days(lion))
| member(yesterday(today),lying_days(lion)) ),
inference(resolution,[],[f45,f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : PUZ005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n003.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 18:01:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (25813)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (25818)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (25819)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (25821)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 % (25820)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 % (25822)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (25823)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (25824)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 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 Detected minimum model sizes of [1,1]
% 0.14/0.38 Detected maximum model sizes of [max,2]
% 0.14/0.38 TRYING [1,1]
% 0.14/0.38 Detected minimum model sizes of [1,1]
% 0.14/0.38 Detected maximum model sizes of [max,2]
% 0.14/0.38 TRYING [1,1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2,1]
% 0.14/0.38 TRYING [2,1]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3,1]
% 0.14/0.38 TRYING [3,1]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3,2]
% 0.14/0.38 TRYING [3,2]
% 0.14/0.38 % (25823)First to succeed.
% 0.14/0.38 % (25822)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [4]
% 0.14/0.38 % (25820)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [4,2]
% 0.14/0.39 TRYING [4,2]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 % (25823)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25813"
% 0.14/0.39 % (25823)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (25823)------------------------------
% 0.14/0.39 % (25823)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (25823)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (25823)Memory used [KB]: 804
% 0.14/0.39 % (25823)Time elapsed: 0.007 s
% 0.14/0.39 % (25823)Instructions burned: 9 (million)
% 0.14/0.39 % (25813)Success in time 0.022 s
%------------------------------------------------------------------------------