TSTP Solution File: PUZ149_13 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% 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 file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n017.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 08:49:30 EDT 2024
% Result : Theorem 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 30
% Syntax : Number of formulae : 66 ( 4 unt; 17 typ; 0 def)
% Number of atoms : 151 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 177 ( 75 ~; 56 |; 28 &)
% ( 6 <=>; 12 =>; 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 : 49 ( 30 !; 19 ?; 49 :)
% 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(f138,plain,
$false,
inference(avatar_sat_refutation,[],[f79,f84,f89,f126,f130,f134,f137]) ).
tff(f137,plain,
( ~ spl9_5
| ~ spl9_7
| ~ spl9_8
| ~ spl9_16 ),
inference(avatar_split_clause,[],[f136,f124,f86,f81,f73]) ).
tff(f73,plain,
( spl9_5
<=> acid(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).
tff(f81,plain,
( spl9_7
<=> '$ki_accessible'('#idx(pour_b)',sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_7])]) ).
tff(f86,plain,
( spl9_8
<=> '$ki_accessible'('#idx(pour_a)','$ki_local_world',sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_8])]) ).
tff(f124,plain,
( spl9_16
<=> ! [X0: '$ki_world',X1: '$ki_world'] :
( ~ acid(X1)
| ~ '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0)
| ~ '$ki_accessible'('#idx(pour_b)',X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_16])]) ).
tff(f136,plain,
( ~ acid(sK3)
| ~ spl9_7
| ~ spl9_8
| ~ spl9_16 ),
inference(resolution,[],[f135,f83]) ).
tff(f83,plain,
( '$ki_accessible'('#idx(pour_b)',sK2,sK3)
| ~ spl9_7 ),
inference(avatar_component_clause,[],[f81]) ).
tff(f135,plain,
( ! [X0: '$ki_world'] :
( ~ '$ki_accessible'('#idx(pour_b)',sK2,X0)
| ~ acid(X0) )
| ~ spl9_8
| ~ spl9_16 ),
inference(resolution,[],[f125,f88]) ).
tff(f88,plain,
( '$ki_accessible'('#idx(pour_a)','$ki_local_world',sK2)
| ~ spl9_8 ),
inference(avatar_component_clause,[],[f86]) ).
tff(f125,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_16 ),
inference(avatar_component_clause,[],[f124]) ).
tff(f134,plain,
( ~ spl9_8
| ~ spl9_15 ),
inference(avatar_contradiction_clause,[],[f133]) ).
tff(f133,plain,
( $false
| ~ spl9_8
| ~ spl9_15 ),
inference(resolution,[],[f131,f132]) ).
tff(f132,plain,
( acid(sK2)
| ~ spl9_8
| ~ spl9_15 ),
inference(resolution,[],[f88,f122]) ).
tff(f122,plain,
( ! [X2: '$ki_world'] :
( ~ '$ki_accessible'('#idx(pour_a)','$ki_local_world',X2)
| acid(X2) )
| ~ spl9_15 ),
inference(avatar_component_clause,[],[f121]) ).
tff(f121,plain,
( spl9_15
<=> ! [X2: '$ki_world'] :
( acid(X2)
| ~ '$ki_accessible'('#idx(pour_a)','$ki_local_world',X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_15])]) ).
tff(f131,plain,
( ~ acid(sK2)
| ~ spl9_8 ),
inference(resolution,[],[f88,f50]) ).
tff(f50,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0)
| ~ acid(X0) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,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/sandbox/tmp/tmp.Yyh2PQU5Mn/Vampire---4.8_15894',pour_a_acid) ).
tff(f130,plain,
~ spl9_6,
inference(avatar_contradiction_clause,[],[f129]) ).
tff(f129,plain,
( $false
| ~ spl9_6 ),
inference(resolution,[],[f128,f52]) ).
tff(f52,plain,
acid(sK8),
inference(cnf_transformation,[],[f37]) ).
tff(f37,plain,
( acid(sK8)
& '$ki_accessible'('#idx(make_c)','$ki_local_world',sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f6,f36]) ).
tff(f36,plain,
( ? [X0: '$ki_world'] :
( acid(X0)
& '$ki_accessible'('#idx(make_c)','$ki_local_world',X0) )
=> ( acid(sK8)
& '$ki_accessible'('#idx(make_c)','$ki_local_world',sK8) ) ),
introduced(choice_axiom,[]) ).
tff(f6,axiom,
? [X0: '$ki_world'] :
( acid(X0)
& '$ki_accessible'('#idx(make_c)','$ki_local_world',X0) ),
file('/export/starexec/sandbox/tmp/tmp.Yyh2PQU5Mn/Vampire---4.8_15894',make_c_acid) ).
tff(f128,plain,
( ~ acid(sK8)
| ~ spl9_6 ),
inference(resolution,[],[f78,f51]) ).
tff(f51,plain,
'$ki_accessible'('#idx(make_c)','$ki_local_world',sK8),
inference(cnf_transformation,[],[f37]) ).
tff(f78,plain,
( ! [X0: '$ki_world'] :
( ~ '$ki_accessible'('#idx(make_c)','$ki_local_world',X0)
| ~ acid(X0) )
| ~ spl9_6 ),
inference(avatar_component_clause,[],[f77]) ).
tff(f77,plain,
( spl9_6
<=> ! [X0: '$ki_world'] :
( ~ acid(X0)
| ~ '$ki_accessible'('#idx(make_c)','$ki_local_world',X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_6])]) ).
tff(f126,plain,
( spl9_15
| spl9_16 ),
inference(avatar_split_clause,[],[f53,f124,f121]) ).
tff(f53,plain,
! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
( ~ acid(X1)
| ~ '$ki_accessible'('#idx(pour_b)',X0,X1)
| ~ '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0)
| acid(X2)
| ~ '$ki_accessible'('#idx(pour_a)','$ki_local_world',X2) ),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
( ! [X0: '$ki_world'] :
( ! [X1: '$ki_world'] :
( ~ acid(X1)
| ~ '$ki_accessible'('#idx(pour_b)',X0,X1) )
| ~ '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0) )
| ! [X2: '$ki_world'] :
( acid(X2)
| ~ '$ki_accessible'('#idx(pour_a)','$ki_local_world',X2) ) ),
inference(ennf_transformation,[],[f13]) ).
tff(f13,plain,
~ ( ? [X0: '$ki_world'] :
( ? [X1: '$ki_world'] :
( acid(X1)
& '$ki_accessible'('#idx(pour_b)',X0,X1) )
& '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0) )
& ? [X2: '$ki_world'] :
( ~ acid(X2)
& '$ki_accessible'('#idx(pour_a)','$ki_local_world',X2) ) ),
inference(rectify,[],[f8]) ).
tff(f8,negated_conjecture,
~ ( ? [X0: '$ki_world'] :
( ? [X1: '$ki_world'] :
( acid(X1)
& '$ki_accessible'('#idx(pour_b)',X0,X1) )
& '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0) )
& ? [X0: '$ki_world'] :
( ~ acid(X0)
& '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0) ) ),
inference(negated_conjecture,[],[f7]) ).
tff(f7,conjecture,
( ? [X0: '$ki_world'] :
( ? [X1: '$ki_world'] :
( acid(X1)
& '$ki_accessible'('#idx(pour_b)',X0,X1) )
& '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0) )
& ? [X0: '$ki_world'] :
( ~ acid(X0)
& '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.Yyh2PQU5Mn/Vampire---4.8_15894',verify) ).
tff(f89,plain,
( spl9_8
| spl9_6 ),
inference(avatar_split_clause,[],[f41,f77,f86]) ).
tff(f41,plain,
! [X0: '$ki_world'] :
( ~ acid(X0)
| ~ '$ki_accessible'('#idx(make_c)','$ki_local_world',X0)
| '$ki_accessible'('#idx(pour_a)','$ki_local_world',sK2) ),
inference(cnf_transformation,[],[f27]) ).
tff(f27,plain,
( ! [X0: '$ki_world'] :
( ~ acid(X0)
| ~ '$ki_accessible'('#idx(make_c)','$ki_local_world',X0) )
| ( acid(sK3)
& '$ki_accessible'('#idx(pour_b)',sK2,sK3)
& '$ki_accessible'('#idx(pour_a)','$ki_local_world',sK2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f24,f26,f25]) ).
tff(f25,plain,
( ? [X1: '$ki_world'] :
( ? [X2: '$ki_world'] :
( acid(X2)
& '$ki_accessible'('#idx(pour_b)',X1,X2) )
& '$ki_accessible'('#idx(pour_a)','$ki_local_world',X1) )
=> ( ? [X2: '$ki_world'] :
( acid(X2)
& '$ki_accessible'('#idx(pour_b)',sK2,X2) )
& '$ki_accessible'('#idx(pour_a)','$ki_local_world',sK2) ) ),
introduced(choice_axiom,[]) ).
tff(f26,plain,
( ? [X2: '$ki_world'] :
( acid(X2)
& '$ki_accessible'('#idx(pour_b)',sK2,X2) )
=> ( acid(sK3)
& '$ki_accessible'('#idx(pour_b)',sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
tff(f24,plain,
( ! [X0: '$ki_world'] :
( ~ acid(X0)
| ~ '$ki_accessible'('#idx(make_c)','$ki_local_world',X0) )
| ? [X1: '$ki_world'] :
( ? [X2: '$ki_world'] :
( acid(X2)
& '$ki_accessible'('#idx(pour_b)',X1,X2) )
& '$ki_accessible'('#idx(pour_a)','$ki_local_world',X1) ) ),
inference(rectify,[],[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/sandbox/tmp/tmp.Yyh2PQU5Mn/Vampire---4.8_15894',pour_ab_make_axiom_2) ).
tff(f84,plain,
( spl9_7
| spl9_6 ),
inference(avatar_split_clause,[],[f42,f77,f81]) ).
tff(f42,plain,
! [X0: '$ki_world'] :
( ~ acid(X0)
| ~ '$ki_accessible'('#idx(make_c)','$ki_local_world',X0)
| '$ki_accessible'('#idx(pour_b)',sK2,sK3) ),
inference(cnf_transformation,[],[f27]) ).
tff(f79,plain,
( spl9_5
| spl9_6 ),
inference(avatar_split_clause,[],[f43,f77,f73]) ).
tff(f43,plain,
! [X0: '$ki_world'] :
( ~ acid(X0)
| ~ '$ki_accessible'('#idx(make_c)','$ki_local_world',X0)
| acid(sK3) ),
inference(cnf_transformation,[],[f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ149_13 : TPTP v8.2.0. Released v8.2.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n017.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
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 18:07:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TF0_THM_RFO_NEQ_NAR problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.Yyh2PQU5Mn/Vampire---4.8_15894
% 0.55/0.74 % (16384)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.55/0.74 % (16390)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.55/0.75 % (16383)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.75 % (16386)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.75 % (16384)First to succeed.
% 0.55/0.75 % (16385)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75 % (16387)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.75 % (16388)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.75 % (16390)Refutation not found, incomplete strategy% (16390)------------------------------
% 0.55/0.75 % (16390)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (16390)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (16390)Memory used [KB]: 1061
% 0.55/0.75 % (16390)Time elapsed: 0.002 s
% 0.55/0.75 % (16390)Instructions burned: 3 (million)
% 0.55/0.75 % (16389)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.55/0.75 % (16390)------------------------------
% 0.55/0.75 % (16390)------------------------------
% 0.55/0.75 % (16384)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16165"
% 0.55/0.75 % (16384)Refutation found. Thanks to Tanya!
% 0.55/0.75 % SZS status Theorem for Vampire---4
% 0.55/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75 % (16384)------------------------------
% 0.55/0.75 % (16384)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (16384)Termination reason: Refutation
% 0.55/0.75
% 0.55/0.75 % (16384)Memory used [KB]: 1071
% 0.55/0.75 % (16384)Time elapsed: 0.003 s
% 0.55/0.75 % (16384)Instructions burned: 4 (million)
% 0.55/0.75 % (16165)Success in time 0.382 s
% 0.55/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------