TSTP Solution File: PUZ149_13 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : PUZ149_13 : TPTP v8.2.0. Released v8.2.0.
% 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 : n021.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 : Mon May 22 15:41:59 EDT 2023
% Result : Theorem 0.16s 0.44s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 27
% Syntax : Number of formulae : 60 ( 4 unt; 17 typ; 0 def)
% Number of atoms : 125 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 153 ( 71 ~; 52 |; 15 &)
% ( 6 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 4 ( 2 >; 2 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 7 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 13 con; 0-0 aty)
% Number of variables : 40 (; 28 !; 12 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'$ki_world': $tType ).
tff(type_def_6,type,
'$ki_index': $tType ).
tff(func_def_0,type,
'$ki_local_world': '$ki_world' ).
tff(func_def_1,type,
'#idx(make_c)': '$ki_index' ).
tff(func_def_2,type,
'#idx(pour_b)': '$ki_index' ).
tff(func_def_3,type,
'#idx(pour_a)': '$ki_index' ).
tff(func_def_4,type,
sK0: '$ki_world' ).
tff(func_def_5,type,
sK1: '$ki_world' ).
tff(func_def_6,type,
sK2: '$ki_world' ).
tff(func_def_7,type,
sK3: '$ki_world' ).
tff(func_def_8,type,
sK4: '$ki_world' ).
tff(func_def_9,type,
sK5: '$ki_world' ).
tff(func_def_10,type,
sK6: '$ki_world' ).
tff(func_def_11,type,
sK7: '$ki_world' ).
tff(func_def_12,type,
sK8: '$ki_world' ).
tff(pred_def_1,type,
'$ki_accessible': ( '$ki_index' * '$ki_world' * '$ki_world' ) > $o ).
tff(pred_def_2,type,
acid: '$ki_world' > $o ).
tff(f120,plain,
$false,
inference(avatar_sat_refutation,[],[f61,f73,f98,f108,f112,f116,f119]) ).
tff(f119,plain,
( ~ spl9_6
| ~ spl9_9
| ~ spl9_14
| ~ spl9_16 ),
inference(avatar_split_clause,[],[f118,f105,f95,f71,f58]) ).
tff(f58,plain,
( spl9_6
<=> acid(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_6])]) ).
tff(f71,plain,
( spl9_9
<=> ! [X0: '$ki_world',X1: '$ki_world'] :
( ~ acid(X1)
| ~ '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0)
| ~ '$ki_accessible'('#idx(pour_b)',X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_9])]) ).
tff(f95,plain,
( spl9_14
<=> '$ki_accessible'('#idx(pour_b)',sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_14])]) ).
tff(f105,plain,
( spl9_16
<=> '$ki_accessible'('#idx(pour_a)','$ki_local_world',sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_16])]) ).
tff(f118,plain,
( ~ acid(sK5)
| ~ spl9_9
| ~ spl9_14
| ~ spl9_16 ),
inference(resolution,[],[f117,f97]) ).
tff(f97,plain,
( '$ki_accessible'('#idx(pour_b)',sK4,sK5)
| ~ spl9_14 ),
inference(avatar_component_clause,[],[f95]) ).
tff(f117,plain,
( ! [X0: '$ki_world'] :
( ~ '$ki_accessible'('#idx(pour_b)',sK4,X0)
| ~ acid(X0) )
| ~ spl9_9
| ~ spl9_16 ),
inference(resolution,[],[f72,f107]) ).
tff(f107,plain,
( '$ki_accessible'('#idx(pour_a)','$ki_local_world',sK4)
| ~ spl9_16 ),
inference(avatar_component_clause,[],[f105]) ).
tff(f72,plain,
( ! [X0: '$ki_world',X1: '$ki_world'] :
( ~ '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0)
| ~ acid(X1)
| ~ '$ki_accessible'('#idx(pour_b)',X0,X1) )
| ~ spl9_9 ),
inference(avatar_component_clause,[],[f71]) ).
tff(f116,plain,
( ~ spl9_8
| ~ spl9_16 ),
inference(avatar_contradiction_clause,[],[f115]) ).
tff(f115,plain,
( $false
| ~ spl9_8
| ~ spl9_16 ),
inference(resolution,[],[f113,f114]) ).
tff(f114,plain,
( acid(sK4)
| ~ spl9_8
| ~ spl9_16 ),
inference(resolution,[],[f107,f69]) ).
tff(f69,plain,
( ! [X2: '$ki_world'] :
( ~ '$ki_accessible'('#idx(pour_a)','$ki_local_world',X2)
| acid(X2) )
| ~ spl9_8 ),
inference(avatar_component_clause,[],[f68]) ).
tff(f68,plain,
( spl9_8
<=> ! [X2: '$ki_world'] :
( ~ '$ki_accessible'('#idx(pour_a)','$ki_local_world',X2)
| acid(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_8])]) ).
tff(f113,plain,
( ~ acid(sK4)
| ~ spl9_16 ),
inference(resolution,[],[f107,f35]) ).
tff(f35,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0)
| ~ acid(X0) ),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
! [X0: '$ki_world'] :
( ~ acid(X0)
| ~ '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0) ),
inference(ennf_transformation,[],[f5]) ).
tff(f5,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0)
=> ~ acid(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pour_a_acid) ).
tff(f112,plain,
~ spl9_4,
inference(avatar_contradiction_clause,[],[f111]) ).
tff(f111,plain,
( $false
| ~ spl9_4 ),
inference(resolution,[],[f110,f34]) ).
tff(f34,plain,
acid(sK8),
inference(cnf_transformation,[],[f6]) ).
tff(f6,axiom,
? [X0: '$ki_world'] :
( acid(X0)
& '$ki_accessible'('#idx(make_c)','$ki_local_world',X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',make_c_acid) ).
tff(f110,plain,
( ~ acid(sK8)
| ~ spl9_4 ),
inference(resolution,[],[f50,f33]) ).
tff(f33,plain,
'$ki_accessible'('#idx(make_c)','$ki_local_world',sK8),
inference(cnf_transformation,[],[f6]) ).
tff(f50,plain,
( ! [X2: '$ki_world'] :
( ~ '$ki_accessible'('#idx(make_c)','$ki_local_world',X2)
| ~ acid(X2) )
| ~ spl9_4 ),
inference(avatar_component_clause,[],[f49]) ).
tff(f49,plain,
( spl9_4
<=> ! [X2: '$ki_world'] :
( ~ acid(X2)
| ~ '$ki_accessible'('#idx(make_c)','$ki_local_world',X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).
tff(f108,plain,
( spl9_4
| spl9_16 ),
inference(avatar_split_clause,[],[f29,f105,f49]) ).
tff(f29,plain,
! [X2: '$ki_world'] :
( '$ki_accessible'('#idx(pour_a)','$ki_local_world',sK4)
| ~ '$ki_accessible'('#idx(make_c)','$ki_local_world',X2)
| ~ acid(X2) ),
inference(cnf_transformation,[],[f15]) ).
tff(f15,plain,
( ! [X2: '$ki_world'] :
( ~ acid(X2)
| ~ '$ki_accessible'('#idx(make_c)','$ki_local_world',X2) )
| ? [X0: '$ki_world'] :
( ? [X1: '$ki_world'] :
( acid(X1)
& '$ki_accessible'('#idx(pour_b)',X0,X1) )
& '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0) ) ),
inference(ennf_transformation,[],[f10]) ).
tff(f10,plain,
( ! [X0: '$ki_world'] :
( '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'('#idx(pour_b)',X0,X1)
=> ~ acid(X1) ) )
=> ! [X2: '$ki_world'] :
( '$ki_accessible'('#idx(make_c)','$ki_local_world',X2)
=> ~ acid(X2) ) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
( ! [X0: '$ki_world'] :
( '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'('#idx(pour_b)',X0,X1)
=> ~ acid(X1) ) )
=> ! [X0: '$ki_world'] :
( '$ki_accessible'('#idx(make_c)','$ki_local_world',X0)
=> ~ acid(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pour_ab_make_axiom_2) ).
tff(f98,plain,
( spl9_14
| spl9_4 ),
inference(avatar_split_clause,[],[f27,f49,f95]) ).
tff(f27,plain,
! [X2: '$ki_world'] :
( ~ '$ki_accessible'('#idx(make_c)','$ki_local_world',X2)
| '$ki_accessible'('#idx(pour_b)',sK4,sK5)
| ~ acid(X2) ),
inference(cnf_transformation,[],[f15]) ).
tff(f73,plain,
( spl9_8
| spl9_9 ),
inference(avatar_split_clause,[],[f20,f71,f68]) ).
tff(f20,plain,
! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
( ~ acid(X1)
| ~ '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0)
| ~ '$ki_accessible'('#idx(pour_a)','$ki_local_world',X2)
| ~ '$ki_accessible'('#idx(pour_b)',X0,X1)
| acid(X2) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( ! [X0: '$ki_world'] :
( ~ '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0)
| ! [X1: '$ki_world'] :
( ~ acid(X1)
| ~ '$ki_accessible'('#idx(pour_b)',X0,X1) ) )
| ! [X2: '$ki_world'] :
( acid(X2)
| ~ '$ki_accessible'('#idx(pour_a)','$ki_local_world',X2) ) ),
inference(ennf_transformation,[],[f12]) ).
tff(f12,plain,
~ ( ? [X2: '$ki_world'] :
( '$ki_accessible'('#idx(pour_a)','$ki_local_world',X2)
& ~ acid(X2) )
& ? [X0: '$ki_world'] :
( ? [X1: '$ki_world'] :
( acid(X1)
& '$ki_accessible'('#idx(pour_b)',X0,X1) )
& '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0) ) ),
inference(rectify,[],[f8]) ).
tff(f8,negated_conjecture,
~ ( ? [X0: '$ki_world'] :
( ? [X1: '$ki_world'] :
( acid(X1)
& '$ki_accessible'('#idx(pour_b)',X0,X1) )
& '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0) )
& ? [X0: '$ki_world'] :
( '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0)
& ~ acid(X0) ) ),
inference(negated_conjecture,[],[f7]) ).
tff(f7,conjecture,
( ? [X0: '$ki_world'] :
( ? [X1: '$ki_world'] :
( acid(X1)
& '$ki_accessible'('#idx(pour_b)',X0,X1) )
& '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0) )
& ? [X0: '$ki_world'] :
( '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0)
& ~ acid(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).
tff(f61,plain,
( spl9_4
| spl9_6 ),
inference(avatar_split_clause,[],[f28,f58,f49]) ).
tff(f28,plain,
! [X2: '$ki_world'] :
( acid(sK5)
| ~ acid(X2)
| ~ '$ki_accessible'('#idx(make_c)','$ki_local_world',X2) ),
inference(cnf_transformation,[],[f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : PUZ149_13 : TPTP v8.2.0. Released v8.2.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.31 % Computer : n021.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Mon May 22 12:33:00 EDT 2023
% 0.12/0.31 % CPUTime :
% 0.16/0.44 % (17411)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.44 % (17403)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.44 % (17410)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.44 % (17411)First to succeed.
% 0.16/0.44 % (17411)Refutation found. Thanks to Tanya!
% 0.16/0.44 % SZS status Theorem for theBenchmark
% 0.16/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.44 % (17411)------------------------------
% 0.16/0.44 % (17411)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.44 % (17411)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.44 % (17411)Termination reason: Refutation
% 0.16/0.44
% 0.16/0.44 % (17411)Memory used [KB]: 5500
% 0.16/0.44 % (17411)Time elapsed: 0.093 s
% 0.16/0.44 % (17411)Instructions burned: 2 (million)
% 0.16/0.44 % (17411)------------------------------
% 0.16/0.44 % (17411)------------------------------
% 0.16/0.44 % (17393)Success in time 0.126 s
%------------------------------------------------------------------------------