TSTP Solution File: PUZ035-7 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ035-7 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n019.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 Apr 30 14:45:01 EDT 2024
% Result : Unsatisfiable 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 4 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 65 ( 35 ~; 23 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 8 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,plain,
$false,
inference(avatar_sat_refutation,[],[f26,f34,f38,f45,f49,f52]) ).
fof(f52,plain,
~ spl2_4,
inference(avatar_contradiction_clause,[],[f51]) ).
fof(f51,plain,
( $false
| ~ spl2_4 ),
inference(resolution,[],[f50,f33]) ).
fof(f33,plain,
( ! [X7] : ~ truth(isa(other,X7))
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f32,plain,
( spl2_4
<=> ! [X7] : ~ truth(isa(other,X7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f50,plain,
( truth(isa(other,knight))
| ~ spl2_4 ),
inference(resolution,[],[f33,f1]) ).
fof(f1,axiom,
! [X0] :
( truth(isa(X0,knave))
| truth(isa(X0,knight)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',everyone_a_knight_or_knave) ).
fof(f49,plain,
~ spl2_5,
inference(avatar_contradiction_clause,[],[f47]) ).
fof(f47,plain,
( $false
| ~ spl2_5 ),
inference(resolution,[],[f46,f44]) ).
fof(f44,plain,
( ! [X5] : ~ reply(asked,or(isa(asked,knight),isa(other,knight)),X5)
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl2_5
<=> ! [X5] : ~ reply(asked,or(isa(asked,knight),isa(other,knight)),X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f46,plain,
( reply(asked,or(isa(asked,knight),isa(other,knight)),yes)
| ~ spl2_5 ),
inference(resolution,[],[f44,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( reply(X0,X1,no)
| reply(X0,X1,yes) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',yes_or_no) ).
fof(f45,plain,
( ~ spl2_3
| ~ spl2_1
| spl2_5 ),
inference(avatar_split_clause,[],[f18,f43,f20,f28]) ).
fof(f28,plain,
( spl2_3
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f20,plain,
( spl2_1
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f18,plain,
! [X5] :
( ~ reply(asked,or(isa(asked,knight),isa(other,knight)),X5)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f16,f17_D]) ).
fof(f17,plain,
! [X7] :
( ~ truth(isa(other,X7))
| sP1 ),
inference(cnf_transformation,[],[f17_D]) ).
fof(f17_D,plain,
( ! [X7] : ~ truth(isa(other,X7))
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f16,plain,
! [X7,X5] :
( ~ truth(isa(other,X7))
| ~ reply(asked,or(isa(asked,knight),isa(other,knight)),X5)
| ~ sP0 ),
inference(general_splitting,[],[f14,f15_D]) ).
fof(f15,plain,
! [X6] :
( ~ truth(isa(asked,X6))
| sP0 ),
inference(cnf_transformation,[],[f15_D]) ).
fof(f15_D,plain,
( ! [X6] : ~ truth(isa(asked,X6))
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f14,axiom,
! [X6,X7,X5] :
( ~ truth(isa(other,X7))
| ~ truth(isa(asked,X6))
| ~ reply(asked,or(isa(asked,knight),isa(other,knight)),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_answer) ).
fof(f38,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f37]) ).
fof(f37,plain,
( $false
| ~ spl2_2 ),
inference(resolution,[],[f36,f25]) ).
fof(f25,plain,
( ! [X6] : ~ truth(isa(asked,X6))
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f24,plain,
( spl2_2
<=> ! [X6] : ~ truth(isa(asked,X6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f36,plain,
( truth(isa(asked,knight))
| ~ spl2_2 ),
inference(resolution,[],[f1,f25]) ).
fof(f34,plain,
( spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f17,f32,f28]) ).
fof(f26,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f15,f24,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ035-7 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n019.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 01:58:48 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (29349)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (29350)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (29352)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 % (29352)First to succeed.
% 0.15/0.38 % (29355)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (29353)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (29356)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)
% 0.15/0.38 TRYING [3]
% 0.15/0.38 % (29355)Also succeeded, but the first one will report.
% 0.15/0.38 % (29352)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (29352)------------------------------
% 0.15/0.38 % (29352)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (29352)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (29352)Memory used [KB]: 765
% 0.15/0.38 % (29352)Time elapsed: 0.004 s
% 0.15/0.38 % (29352)Instructions burned: 3 (million)
% 0.15/0.38 % (29352)------------------------------
% 0.15/0.38 % (29352)------------------------------
% 0.15/0.38 % (29349)Success in time 0.02 s
%------------------------------------------------------------------------------