TSTP Solution File: PUZ006-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ006-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n005.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 02:28:55 EDT 2024
% Result : Unsatisfiable 0.20s 0.37s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 70
% Syntax : Number of formulae : 175 ( 26 unt; 0 def)
% Number of atoms : 441 ( 15 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 479 ( 213 ~; 224 |; 0 &)
% ( 42 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 52 ( 50 usr; 43 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 57 ( 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f288,plain,
$false,
inference(avatar_sat_refutation,[],[f34,f39,f44,f49,f54,f63,f72,f81,f90,f94,f98,f102,f106,f110,f114,f121,f122,f126,f130,f135,f139,f143,f148,f150,f154,f162,f166,f171,f175,f180,f203,f208,f217,f224,f229,f234,f242,f246,f249,f252,f258,f264,f269,f274,f276,f278,f279,f285,f286,f287]) ).
fof(f287,plain,
( spl0_9
| ~ spl0_13
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f281,f205,f87,f69]) ).
fof(f69,plain,
( spl0_9
<=> a_truth(ork_is_from_mars) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f87,plain,
( spl0_13
<=> a_truth(ork_is_female) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f205,plain,
( spl0_32
<=> ork_is_from_mars = ork_is_female ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f281,plain,
( a_truth(ork_is_from_mars)
| ~ spl0_13
| ~ spl0_32 ),
inference(forward_demodulation,[],[f88,f207]) ).
fof(f207,plain,
( ork_is_from_mars = ork_is_female
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f88,plain,
( a_truth(ork_is_female)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f286,plain,
( spl0_39
| ~ spl0_8
| ~ spl0_12
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f172,f152,f83,f65,f255]) ).
fof(f255,plain,
( spl0_39
<=> liar(ork) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f65,plain,
( spl0_8
<=> from_mars(ork) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f83,plain,
( spl0_12
<=> female(ork) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f152,plain,
( spl0_26
<=> ! [X0] :
( ~ from_mars(X0)
| ~ female(X0)
| liar(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f172,plain,
( ~ from_mars(ork)
| liar(ork)
| ~ spl0_12
| ~ spl0_26 ),
inference(resolution,[],[f85,f153]) ).
fof(f153,plain,
( ! [X0] :
( ~ female(X0)
| ~ from_mars(X0)
| liar(X0) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f85,plain,
( female(ork)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f285,plain,
( ~ spl0_29
| ~ spl0_12
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f174,f104,f83,f168]) ).
fof(f168,plain,
( spl0_29
<=> male(ork) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f104,plain,
( spl0_17
<=> ! [X0] :
( ~ male(X0)
| ~ female(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f174,plain,
( ~ male(ork)
| ~ spl0_12
| ~ spl0_17 ),
inference(resolution,[],[f85,f105]) ).
fof(f105,plain,
( ! [X0] :
( ~ female(X0)
| ~ male(X0) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f279,plain,
( ~ spl0_9
| spl0_13
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f211,f205,f87,f69]) ).
fof(f211,plain,
( ~ a_truth(ork_is_from_mars)
| spl0_13
| ~ spl0_32 ),
inference(superposition,[],[f89,f207]) ).
fof(f89,plain,
( ~ a_truth(ork_is_female)
| spl0_13 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f278,plain,
( spl0_9
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f26,f65,f69]) ).
fof(f26,axiom,
( ~ from_mars(ork)
| a_truth(ork_is_from_mars) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ork_is_from_mars2) ).
fof(f276,plain,
( spl0_8
| ~ spl0_14
| spl0_41 ),
inference(avatar_split_clause,[],[f270,f266,f92,f65]) ).
fof(f92,plain,
( spl0_14
<=> ! [X0] :
( from_venus(X0)
| from_mars(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f266,plain,
( spl0_41
<=> from_venus(ork) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f270,plain,
( from_mars(ork)
| ~ spl0_14
| spl0_41 ),
inference(resolution,[],[f268,f93]) ).
fof(f93,plain,
( ! [X0] :
( from_venus(X0)
| from_mars(X0) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f268,plain,
( ~ from_venus(ork)
| spl0_41 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f274,plain,
( spl0_42
| ~ spl0_14
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f247,f240,f92,f272]) ).
fof(f272,plain,
( spl0_42
<=> ! [X0] :
( truthteller(X0)
| male(X0)
| from_mars(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f240,plain,
( spl0_37
<=> ! [X0] :
( ~ from_venus(X0)
| truthteller(X0)
| male(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f247,plain,
( ! [X0] :
( truthteller(X0)
| male(X0)
| from_mars(X0) )
| ~ spl0_14
| ~ spl0_37 ),
inference(resolution,[],[f241,f93]) ).
fof(f241,plain,
( ! [X0] :
( ~ from_venus(X0)
| truthteller(X0)
| male(X0) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f269,plain,
( spl0_39
| ~ spl0_41
| ~ spl0_23
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f198,f168,f137,f266,f255]) ).
fof(f137,plain,
( spl0_23
<=> ! [X0] :
( ~ from_venus(X0)
| ~ male(X0)
| liar(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f198,plain,
( ~ from_venus(ork)
| liar(ork)
| ~ spl0_23
| ~ spl0_29 ),
inference(resolution,[],[f170,f138]) ).
fof(f138,plain,
( ! [X0] :
( ~ male(X0)
| ~ from_venus(X0)
| liar(X0) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f170,plain,
( male(ork)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f264,plain,
( spl0_40
| ~ spl0_18
| spl0_39 ),
inference(avatar_split_clause,[],[f259,f255,f108,f261]) ).
fof(f261,plain,
( spl0_40
<=> truthteller(ork) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f108,plain,
( spl0_18
<=> ! [X0] :
( liar(X0)
| truthteller(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f259,plain,
( truthteller(ork)
| ~ spl0_18
| spl0_39 ),
inference(resolution,[],[f257,f109]) ).
fof(f109,plain,
( ! [X0] :
( liar(X0)
| truthteller(X0) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f257,plain,
( ~ liar(ork)
| spl0_39 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f258,plain,
( ~ spl0_39
| ~ spl0_7
| ~ spl0_2
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f192,f178,f36,f60,f255]) ).
fof(f60,plain,
( spl0_7
<=> a_truth(bog_is_from_venus) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f36,plain,
( spl0_2
<=> says(ork,bog_is_from_venus) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f178,plain,
( spl0_30
<=> ! [X0,X1] :
( ~ liar(X0)
| ~ a_truth(X1)
| ~ says(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f192,plain,
( ~ a_truth(bog_is_from_venus)
| ~ liar(ork)
| ~ spl0_2
| ~ spl0_30 ),
inference(resolution,[],[f179,f38]) ).
fof(f38,plain,
( says(ork,bog_is_from_venus)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f179,plain,
( ! [X0,X1] :
( ~ says(X0,X1)
| ~ a_truth(X1)
| ~ liar(X0) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f252,plain,
( ~ spl0_25
| ~ spl0_6
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f149,f96,f56,f145]) ).
fof(f145,plain,
( spl0_25
<=> from_mars(bog) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f56,plain,
( spl0_6
<=> from_venus(bog) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f96,plain,
( spl0_15
<=> ! [X0] :
( ~ from_venus(X0)
| ~ from_mars(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f149,plain,
( ~ from_mars(bog)
| ~ spl0_6
| ~ spl0_15 ),
inference(resolution,[],[f58,f97]) ).
fof(f97,plain,
( ! [X0] :
( ~ from_venus(X0)
| ~ from_mars(X0) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f58,plain,
( from_venus(bog)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f249,plain,
( spl0_7
| ~ spl0_11
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f209,f200,f78,f60]) ).
fof(f78,plain,
( spl0_11
<=> a_truth(bog_is_male) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f200,plain,
( spl0_31
<=> bog_is_from_venus = bog_is_male ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f209,plain,
( a_truth(bog_is_from_venus)
| ~ spl0_11
| ~ spl0_31 ),
inference(superposition,[],[f79,f202]) ).
fof(f202,plain,
( bog_is_from_venus = bog_is_male
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f79,plain,
( a_truth(bog_is_male)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f246,plain,
( spl0_38
| ~ spl0_16
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f158,f152,f100,f244]) ).
fof(f244,plain,
( spl0_38
<=> ! [X0] :
( ~ from_mars(X0)
| liar(X0)
| male(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f100,plain,
( spl0_16
<=> ! [X0] :
( male(X0)
| female(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f158,plain,
( ! [X0] :
( ~ from_mars(X0)
| liar(X0)
| male(X0) )
| ~ spl0_16
| ~ spl0_26 ),
inference(resolution,[],[f153,f101]) ).
fof(f101,plain,
( ! [X0] :
( female(X0)
| male(X0) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f242,plain,
( spl0_37
| ~ spl0_16
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f155,f133,f100,f240]) ).
fof(f133,plain,
( spl0_22
<=> ! [X0] :
( ~ from_venus(X0)
| ~ female(X0)
| truthteller(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f155,plain,
( ! [X0] :
( ~ from_venus(X0)
| truthteller(X0)
| male(X0) )
| ~ spl0_16
| ~ spl0_22 ),
inference(resolution,[],[f134,f101]) ).
fof(f134,plain,
( ! [X0] :
( ~ female(X0)
| ~ from_venus(X0)
| truthteller(X0) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f234,plain,
( ~ spl0_36
| spl0_9
| ~ spl0_3
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f189,f164,f41,f69,f231]) ).
fof(f231,plain,
( spl0_36
<=> truthteller(bog) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f41,plain,
( spl0_3
<=> says(bog,ork_is_from_mars) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f164,plain,
( spl0_28
<=> ! [X0,X1] :
( ~ truthteller(X0)
| a_truth(X1)
| ~ says(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f189,plain,
( a_truth(ork_is_from_mars)
| ~ truthteller(bog)
| ~ spl0_3
| ~ spl0_28 ),
inference(resolution,[],[f165,f43]) ).
fof(f43,plain,
( says(bog,ork_is_from_mars)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f165,plain,
( ! [X0,X1] :
( ~ says(X0,X1)
| a_truth(X1)
| ~ truthteller(X0) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f229,plain,
( spl0_35
| ~ spl0_3
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f183,f160,f41,f226]) ).
fof(f226,plain,
( spl0_35
<=> ork_is_from_mars = statement_by(bog) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f160,plain,
( spl0_27
<=> ! [X0,X1] :
( ~ says(X0,X1)
| statement_by(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f183,plain,
( ork_is_from_mars = statement_by(bog)
| ~ spl0_3
| ~ spl0_27 ),
inference(resolution,[],[f161,f43]) ).
fof(f161,plain,
( ! [X0,X1] :
( ~ says(X0,X1)
| statement_by(X0) = X1 )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f224,plain,
( spl0_34
| ~ spl0_2
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f181,f160,f36,f221]) ).
fof(f221,plain,
( spl0_34
<=> bog_is_from_venus = statement_by(ork) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f181,plain,
( bog_is_from_venus = statement_by(ork)
| ~ spl0_2
| ~ spl0_27 ),
inference(resolution,[],[f161,f38]) ).
fof(f217,plain,
( spl0_33
| ~ spl0_6
| ~ spl0_10
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f156,f137,f74,f56,f214]) ).
fof(f214,plain,
( spl0_33
<=> liar(bog) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f74,plain,
( spl0_10
<=> male(bog) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f156,plain,
( ~ from_venus(bog)
| liar(bog)
| ~ spl0_10
| ~ spl0_23 ),
inference(resolution,[],[f138,f76]) ).
fof(f76,plain,
( male(bog)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f208,plain,
( spl0_32
| ~ spl0_3
| ~ spl0_5
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f186,f160,f51,f41,f205]) ).
fof(f51,plain,
( spl0_5
<=> says(bog,ork_is_female) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f186,plain,
( ork_is_from_mars = ork_is_female
| ~ spl0_3
| ~ spl0_5
| ~ spl0_27 ),
inference(forward_demodulation,[],[f184,f183]) ).
fof(f184,plain,
( ork_is_female = statement_by(bog)
| ~ spl0_5
| ~ spl0_27 ),
inference(resolution,[],[f161,f53]) ).
fof(f53,plain,
( says(bog,ork_is_female)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f203,plain,
( spl0_31
| ~ spl0_2
| ~ spl0_4
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f185,f160,f46,f36,f200]) ).
fof(f46,plain,
( spl0_4
<=> says(ork,bog_is_male) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f185,plain,
( bog_is_from_venus = bog_is_male
| ~ spl0_2
| ~ spl0_4
| ~ spl0_27 ),
inference(forward_demodulation,[],[f182,f181]) ).
fof(f182,plain,
( bog_is_male = statement_by(ork)
| ~ spl0_4
| ~ spl0_27 ),
inference(resolution,[],[f161,f48]) ).
fof(f48,plain,
( says(ork,bog_is_male)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f180,plain,
spl0_30,
inference(avatar_split_clause,[],[f16,f178]) ).
fof(f16,axiom,
! [X0,X1] :
( ~ liar(X0)
| ~ a_truth(X1)
| ~ says(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',liars_make_false_statements) ).
fof(f175,plain,
( spl0_13
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f28,f83,f87]) ).
fof(f28,axiom,
( ~ female(ork)
| a_truth(ork_is_female) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ork_is_female2) ).
fof(f171,plain,
( spl0_29
| spl0_12
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f118,f100,f83,f168]) ).
fof(f118,plain,
( male(ork)
| spl0_12
| ~ spl0_16 ),
inference(resolution,[],[f101,f84]) ).
fof(f84,plain,
( ~ female(ork)
| spl0_12 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f166,plain,
spl0_28,
inference(avatar_split_clause,[],[f15,f164]) ).
fof(f15,axiom,
! [X0,X1] :
( ~ truthteller(X0)
| a_truth(X1)
| ~ says(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',truthtellers_make_true_statements) ).
fof(f162,plain,
spl0_27,
inference(avatar_split_clause,[],[f8,f160]) ).
fof(f8,axiom,
! [X0,X1] :
( ~ says(X0,X1)
| statement_by(X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',people_say_their_statements) ).
fof(f154,plain,
spl0_26,
inference(avatar_split_clause,[],[f14,f152]) ).
fof(f14,axiom,
! [X0] :
( ~ from_mars(X0)
| ~ female(X0)
| liar(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',marsian_females_are_liars) ).
fof(f150,plain,
( spl0_7
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f25,f56,f60]) ).
fof(f25,axiom,
( ~ from_venus(bog)
| a_truth(bog_is_from_venus) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bog_is_from_venus2) ).
fof(f148,plain,
( spl0_25
| spl0_6
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f115,f92,f56,f145]) ).
fof(f115,plain,
( from_mars(bog)
| spl0_6
| ~ spl0_14 ),
inference(resolution,[],[f93,f57]) ).
fof(f57,plain,
( ~ from_venus(bog)
| spl0_6 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f143,plain,
spl0_24,
inference(avatar_split_clause,[],[f13,f141]) ).
fof(f141,plain,
( spl0_24
<=> ! [X0] :
( ~ from_mars(X0)
| ~ male(X0)
| truthteller(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f13,axiom,
! [X0] :
( ~ from_mars(X0)
| ~ male(X0)
| truthteller(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',marsian_males_are_truthtellers) ).
fof(f139,plain,
spl0_23,
inference(avatar_split_clause,[],[f12,f137]) ).
fof(f12,axiom,
! [X0] :
( ~ from_venus(X0)
| ~ male(X0)
| liar(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',venusian_males_are_liars) ).
fof(f135,plain,
spl0_22,
inference(avatar_split_clause,[],[f11,f133]) ).
fof(f11,axiom,
! [X0] :
( ~ from_venus(X0)
| ~ female(X0)
| truthteller(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',venusian_female_are_truthtellers) ).
fof(f130,plain,
spl0_21,
inference(avatar_split_clause,[],[f10,f128]) ).
fof(f128,plain,
( spl0_21
<=> ! [X0] :
( liar(X0)
| a_truth(statement_by(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f10,axiom,
! [X0] :
( liar(X0)
| a_truth(statement_by(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',false_statements_made_by_liars) ).
fof(f126,plain,
spl0_20,
inference(avatar_split_clause,[],[f9,f124]) ).
fof(f124,plain,
( spl0_20
<=> ! [X0] :
( truthteller(X0)
| ~ a_truth(statement_by(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f9,axiom,
! [X0] :
( truthteller(X0)
| ~ a_truth(statement_by(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',true_statements_made_by_truthtellers) ).
fof(f122,plain,
( spl0_11
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f27,f74,f78]) ).
fof(f27,axiom,
( ~ male(bog)
| a_truth(bog_is_male) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bog_is_male2) ).
fof(f121,plain,
( spl0_10
| spl0_1
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f117,f100,f31,f74]) ).
fof(f31,plain,
( spl0_1
<=> female(bog) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f117,plain,
( male(bog)
| spl0_1
| ~ spl0_16 ),
inference(resolution,[],[f101,f33]) ).
fof(f33,plain,
( ~ female(bog)
| spl0_1 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f114,plain,
spl0_19,
inference(avatar_split_clause,[],[f6,f112]) ).
fof(f112,plain,
( spl0_19
<=> ! [X0] :
( ~ liar(X0)
| ~ truthteller(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f6,axiom,
! [X0] :
( ~ liar(X0)
| ~ truthteller(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_truthteller_and_liar) ).
fof(f110,plain,
spl0_18,
inference(avatar_split_clause,[],[f5,f108]) ).
fof(f5,axiom,
! [X0] :
( liar(X0)
| truthteller(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',truthteller_or_liar) ).
fof(f106,plain,
spl0_17,
inference(avatar_split_clause,[],[f4,f104]) ).
fof(f4,axiom,
! [X0] :
( ~ male(X0)
| ~ female(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_male_and_female) ).
fof(f102,plain,
spl0_16,
inference(avatar_split_clause,[],[f3,f100]) ).
fof(f3,axiom,
! [X0] :
( male(X0)
| female(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',male_or_female) ).
fof(f98,plain,
spl0_15,
inference(avatar_split_clause,[],[f2,f96]) ).
fof(f2,axiom,
! [X0] :
( ~ from_venus(X0)
| ~ from_mars(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_from_mars_and_venus) ).
fof(f94,plain,
spl0_14,
inference(avatar_split_clause,[],[f1,f92]) ).
fof(f1,axiom,
! [X0] :
( from_venus(X0)
| from_mars(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',from_mars_or_venus) ).
fof(f90,plain,
( spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f24,f87,f83]) ).
fof(f24,axiom,
( ~ a_truth(ork_is_female)
| female(ork) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ork_is_female1) ).
fof(f81,plain,
( spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f23,f78,f74]) ).
fof(f23,axiom,
( ~ a_truth(bog_is_male)
| male(bog) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bog_is_male1) ).
fof(f72,plain,
( spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f22,f69,f65]) ).
fof(f22,axiom,
( ~ a_truth(ork_is_from_mars)
| from_mars(ork) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ork_is_from_mars1) ).
fof(f63,plain,
( spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f21,f60,f56]) ).
fof(f21,axiom,
( ~ a_truth(bog_is_from_venus)
| from_venus(bog) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bog_is_from_venus1) ).
fof(f54,plain,
spl0_5,
inference(avatar_split_clause,[],[f20,f51]) ).
fof(f20,axiom,
says(bog,ork_is_female),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bog_says_ork_is_female) ).
fof(f49,plain,
spl0_4,
inference(avatar_split_clause,[],[f19,f46]) ).
fof(f19,axiom,
says(ork,bog_is_male),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ork_says_bog_is_male) ).
fof(f44,plain,
spl0_3,
inference(avatar_split_clause,[],[f18,f41]) ).
fof(f18,axiom,
says(bog,ork_is_from_mars),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bog_says_ork_is_from_mar) ).
fof(f39,plain,
spl0_2,
inference(avatar_split_clause,[],[f17,f36]) ).
fof(f17,axiom,
says(ork,bog_is_from_venus),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ork_says_bog_is_from_venus) ).
fof(f34,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f29,f31]) ).
fof(f29,axiom,
~ female(bog),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_bog_is_female) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : PUZ006-1 : TPTP v8.2.0. Released v1.0.0.
% 0.14/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n005.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
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat May 18 10:46:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.20/0.36 % (29902)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37 % (29907)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.37 % (29907)First to succeed.
% 0.20/0.37 % (29907)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29902"
% 0.20/0.37 % (29907)Refutation found. Thanks to Tanya!
% 0.20/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.38 % (29907)------------------------------
% 0.20/0.38 % (29907)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.38 % (29907)Termination reason: Refutation
% 0.20/0.38
% 0.20/0.38 % (29907)Memory used [KB]: 851
% 0.20/0.38 % (29907)Time elapsed: 0.004 s
% 0.20/0.38 % (29907)Instructions burned: 9 (million)
% 0.20/0.38 % (29902)Success in time 0.014 s
%------------------------------------------------------------------------------