TSTP Solution File: SEU633_8 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU633_8 : TPTP v8.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n029.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 03:50:09 EDT 2024
% Result : Theorem 0.70s 0.89s
% Output : Refutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 43 ( 9 unt; 1 typ; 0 def)
% Number of atoms : 222 ( 28 equ)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 156 ( 55 ~; 51 |; 19 &)
% ( 6 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 123 ( 83 fml; 40 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 1 >; 2 *; 0 +; 0 <<)
% Number of predicates : 13 ( 10 usr; 10 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 3-3 aty)
% Number of variables : 74 ( 64 !; 10 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_3,type,
sK0: ( $i * $i * $o ) > $i ).
tff(f87,plain,
$false,
inference(avatar_sat_refutation,[],[f31,f35,f36,f61,f84,f86]) ).
tff(f86,plain,
spl3_4,
inference(avatar_contradiction_clause,[],[f85]) ).
tff(f85,plain,
( $false
| spl3_4 ),
inference(resolution,[],[f57,f21]) ).
tff(f21,plain,
in(sK2,setunion(sK1)),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
( ! [X2] :
( ~ in(sK2,X2)
| ~ in(X2,sK1) )
& in(sK2,setunion(sK1))
& setunionE ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f12,f15]) ).
tff(f15,plain,
( ? [X0,X1] :
( ! [X2] :
( ~ in(X1,X2)
| ~ in(X2,X0) )
& in(X1,setunion(X0)) )
=> ( ! [X2] :
( ~ in(sK2,X2)
| ~ in(X2,sK1) )
& in(sK2,setunion(sK1)) ) ),
introduced(choice_axiom,[]) ).
tff(f12,plain,
( ? [X0,X1] :
( ! [X2] :
( ~ in(X1,X2)
| ~ in(X2,X0) )
& in(X1,setunion(X0)) )
& setunionE ),
inference(ennf_transformation,[],[f8]) ).
tff(f8,plain,
~ ( setunionE
=> ! [X0,X1] :
( in(X1,setunion(X0))
=> ? [X2] :
( in(X1,X2)
& in(X2,X0) ) ) ),
inference(rectify,[],[f3]) ).
tff(f3,negated_conjecture,
~ ( setunionE
=> ! [X0,X1] :
( in(X1,setunion(X0))
=> ? [X4] :
( in(X1,X4)
& in(X4,X0) ) ) ),
inference(negated_conjecture,[],[f2]) ).
tff(f2,conjecture,
( setunionE
=> ! [X0,X1] :
( in(X1,setunion(X0))
=> ? [X4] :
( in(X1,X4)
& in(X4,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setunionE2) ).
tff(f57,plain,
( ~ in(sK2,setunion(sK1))
| spl3_4 ),
inference(avatar_component_clause,[],[f55]) ).
tff(f55,plain,
( spl3_4
<=> in(sK2,setunion(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
tff(f84,plain,
~ spl3_5,
inference(avatar_contradiction_clause,[],[f83]) ).
tff(f83,plain,
( $false
| ~ spl3_5 ),
inference(equality_resolution,[],[f66]) ).
tff(f66,plain,
( ! [X0: $o] : ( $false != (X0) )
| ~ spl3_5 ),
inference(superposition,[],[f4,f60]) ).
tff(f60,plain,
( ! [X0: $o] : ( $true = (X0) )
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f59]) ).
tff(f59,plain,
( spl3_5
<=> ! [X0: $o] : ( $true = (X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
tff(f4,plain,
$true != $false,
introduced(fool_axiom,[]) ).
tff(f61,plain,
( ~ spl3_4
| spl3_5
| ~ spl3_2
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f53,f33,f29,f59,f55]) ).
tff(f29,plain,
( spl3_2
<=> ! [X2: $o,X0,X1] :
( ( $true = (X2) )
| ~ in(X1,setunion(X0))
| in(sK0(X0,X1,(X2)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
tff(f33,plain,
( spl3_3
<=> ! [X2: $o,X0,X1] :
( ( $true = (X2) )
| ~ in(X1,setunion(X0))
| in(X1,sK0(X0,X1,(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
tff(f53,plain,
( ! [X0: $o] :
( ( $true = (X0) )
| ~ in(sK2,setunion(sK1)) )
| ~ spl3_2
| ~ spl3_3 ),
inference(duplicate_literal_removal,[],[f52]) ).
tff(f52,plain,
( ! [X0: $o] :
( ( $true = (X0) )
| ~ in(sK2,setunion(sK1))
| ~ in(sK2,setunion(sK1))
| ( $true = (X0) ) )
| ~ spl3_2
| ~ spl3_3 ),
inference(resolution,[],[f51,f30]) ).
tff(f30,plain,
( ! [X2: $o,X0: $i,X1: $i] :
( in(sK0(X0,X1,(X2)),X0)
| ~ in(X1,setunion(X0))
| ( $true = (X2) ) )
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f29]) ).
tff(f51,plain,
( ! [X0: $i,X1: $o] :
( ~ in(sK0(X0,sK2,(X1)),sK1)
| ( $true = (X1) )
| ~ in(sK2,setunion(X0)) )
| ~ spl3_3 ),
inference(resolution,[],[f34,f22]) ).
tff(f22,plain,
! [X2: $i] :
( ~ in(sK2,X2)
| ~ in(X2,sK1) ),
inference(cnf_transformation,[],[f16]) ).
tff(f34,plain,
( ! [X2: $o,X0: $i,X1: $i] :
( in(X1,sK0(X0,X1,(X2)))
| ~ in(X1,setunion(X0))
| ( $true = (X2) ) )
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f33]) ).
tff(f36,plain,
spl3_1,
inference(avatar_split_clause,[],[f20,f25]) ).
tff(f25,plain,
( spl3_1
<=> setunionE ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
tff(f20,plain,
setunionE,
inference(cnf_transformation,[],[f16]) ).
tff(f35,plain,
( ~ spl3_1
| spl3_3 ),
inference(avatar_split_clause,[],[f17,f33,f25]) ).
tff(f17,plain,
! [X2: $o,X0: $i,X1: $i] :
( ( $true = (X2) )
| in(X1,sK0(X0,X1,(X2)))
| ~ in(X1,setunion(X0))
| ~ setunionE ),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
( ! [X0,X1] :
( ! [X2: $o] :
( ( $true = (X2) )
| ( ( $true != (X2) )
& in(sK0(X0,X1,(X2)),X0)
& in(X1,sK0(X0,X1,(X2))) ) )
| ~ in(X1,setunion(X0)) )
| ~ setunionE ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f11,f13]) ).
tff(f13,plain,
! [X0,X1,X2: $o] :
( ? [X3] :
( ( $true != (X2) )
& in(X3,X0)
& in(X1,X3) )
=> ( ( $true != (X2) )
& in(sK0(X0,X1,(X2)),X0)
& in(X1,sK0(X0,X1,(X2))) ) ),
introduced(choice_axiom,[]) ).
tff(f11,plain,
( ! [X0,X1] :
( ! [X2: $o] :
( ( $true = (X2) )
| ? [X3] :
( ( $true != (X2) )
& in(X3,X0)
& in(X1,X3) ) )
| ~ in(X1,setunion(X0)) )
| ~ setunionE ),
inference(flattening,[],[f10]) ).
tff(f10,plain,
( ! [X0,X1] :
( ! [X2: $o] :
( ( $true = (X2) )
| ? [X3] :
( ( $true != (X2) )
& in(X3,X0)
& in(X1,X3) ) )
| ~ in(X1,setunion(X0)) )
| ~ setunionE ),
inference(ennf_transformation,[],[f9]) ).
tff(f9,plain,
( setunionE
=> ! [X0,X1] :
( in(X1,setunion(X0))
=> ! [X2: $o] :
( ! [X3] :
( in(X1,X3)
=> ( in(X3,X0)
=> ( $true = (X2) ) ) )
=> ( $true = (X2) ) ) ) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
tff(f7,plain,
( setunionE
<=> ! [X0,X1] :
( in(X1,setunion(X0))
=> ! [X2: $o] :
( ! [X3] :
( in(X1,X3)
=> ( in(X3,X0)
=> ( $true = (X2) ) ) )
=> ( $true = (X2) ) ) ) ),
inference(fool_elimination,[],[f6]) ).
tff(f6,plain,
( setunionE
= ( ! [X0,X1] :
( in(X1,setunion(X0))
=> ! [X2: $o] :
( ! [X3] :
( in(X1,X3)
=> ( in(X3,X0)
=> (X2) ) )
=> (X2) ) ) ) ),
inference(rectify,[],[f1]) ).
tff(f1,axiom,
( setunionE
= ( ! [X0,X1] :
( in(X1,setunion(X0))
=> ! [X2: $o] :
( ! [X3] :
( in(X1,X3)
=> ( in(X3,X0)
=> (X2) ) )
=> (X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setunionE) ).
tff(f31,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f18,f29,f25]) ).
tff(f18,plain,
! [X2: $o,X0: $i,X1: $i] :
( ( $true = (X2) )
| in(sK0(X0,X1,(X2)),X0)
| ~ in(X1,setunion(X0))
| ~ setunionE ),
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU633_8 : TPTP v8.2.0. Released v8.0.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n029.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 18:20:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TX0_THM_EQU_NAR problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.70/0.89 % (1074)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.70/0.89 % (1072)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 theBenchmark for (2994ds/34Mi)
% 0.70/0.89 % (1075)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.70/0.89 % (1073)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 theBenchmark for (2994ds/51Mi)
% 0.70/0.89 % (1076)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 theBenchmark for (2994ds/34Mi)
% 0.70/0.89 % (1077)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.70/0.89 % (1078)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 theBenchmark for (2994ds/83Mi)
% 0.70/0.89 % (1079)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.70/0.89 % (1078)Refutation not found, incomplete strategy% (1078)------------------------------
% 0.70/0.89 % (1078)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.89 % (1076)Refutation not found, incomplete strategy% (1076)------------------------------
% 0.70/0.89 % (1076)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.89 % (1076)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.89
% 0.70/0.89 % (1076)Memory used [KB]: 956
% 0.70/0.89 % (1076)Time elapsed: 0.002 s
% 0.70/0.89 % (1075)Refutation not found, incomplete strategy% (1075)------------------------------
% 0.70/0.89 % (1075)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.89 % (1076)Instructions burned: 2 (million)
% 0.70/0.89 % (1075)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.89
% 0.70/0.89 % (1075)Memory used [KB]: 953
% 0.70/0.89 % (1075)Time elapsed: 0.003 s
% 0.70/0.89 % (1075)Instructions burned: 2 (million)
% 0.70/0.89 % (1078)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.89
% 0.70/0.89 % (1078)Memory used [KB]: 948
% 0.70/0.89 % (1078)Time elapsed: 0.002 s
% 0.70/0.89 % (1078)Instructions burned: 2 (million)
% 0.70/0.89 % (1072)Refutation not found, incomplete strategy% (1072)------------------------------
% 0.70/0.89 % (1072)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.89 % (1077)Refutation not found, incomplete strategy% (1077)------------------------------
% 0.70/0.89 % (1077)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.89 % (1077)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.89
% 0.70/0.89 % (1077)Memory used [KB]: 968
% 0.70/0.89 % (1077)Time elapsed: 0.003 s
% 0.70/0.89 % (1077)Instructions burned: 2 (million)
% 0.70/0.89 % (1072)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.89 % (1075)------------------------------
% 0.70/0.89 % (1075)------------------------------
% 0.70/0.89 % (1076)------------------------------
% 0.70/0.89 % (1076)------------------------------
% 0.70/0.89
% 0.70/0.89 % (1072)Memory used [KB]: 972
% 0.70/0.89 % (1072)Time elapsed: 0.003 s
% 0.70/0.89 % (1072)Instructions burned: 3 (million)
% 0.70/0.89 % (1078)------------------------------
% 0.70/0.89 % (1078)------------------------------
% 0.70/0.89 % (1077)------------------------------
% 0.70/0.89 % (1077)------------------------------
% 0.70/0.89 % (1072)------------------------------
% 0.70/0.89 % (1072)------------------------------
% 0.70/0.89 % (1079)Refutation not found, incomplete strategy% (1079)------------------------------
% 0.70/0.89 % (1079)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.89 % (1079)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.89
% 0.70/0.89 % (1079)Memory used [KB]: 953
% 0.70/0.89 % (1079)Time elapsed: 0.002 s
% 0.70/0.89 % (1079)Instructions burned: 2 (million)
% 0.70/0.89 % (1074)Also succeeded, but the first one will report.
% 0.70/0.89 % (1073)First to succeed.
% 0.70/0.89 % (1079)------------------------------
% 0.70/0.89 % (1079)------------------------------
% 0.70/0.89 % (1073)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1003"
% 0.70/0.89 % (1073)Refutation found. Thanks to Tanya!
% 0.70/0.89 % SZS status Theorem for theBenchmark
% 0.70/0.89 % SZS output start Proof for theBenchmark
% See solution above
% 0.70/0.89 % (1073)------------------------------
% 0.70/0.89 % (1073)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.89 % (1073)Termination reason: Refutation
% 0.70/0.89
% 0.70/0.89 % (1073)Memory used [KB]: 998
% 0.70/0.89 % (1073)Time elapsed: 0.005 s
% 0.70/0.89 % (1073)Instructions burned: 4 (million)
% 0.70/0.89 % (1003)Success in time 0.528 s
% 0.70/0.89 % Vampire---4.8 exiting
%------------------------------------------------------------------------------