TSTP Solution File: SET873+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET873+1 : TPTP v8.2.0. Released v3.2.0.
% 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 : n011.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 03:13:46 EDT 2024
% Result : Theorem 0.52s 0.74s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 36 ( 10 unt; 0 def)
% Number of atoms : 96 ( 45 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 100 ( 40 ~; 36 |; 15 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 46 ( 39 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f115,plain,
$false,
inference(avatar_sat_refutation,[],[f101,f111,f114]) ).
fof(f114,plain,
spl5_6,
inference(avatar_contradiction_clause,[],[f113]) ).
fof(f113,plain,
( $false
| spl5_6 ),
inference(resolution,[],[f100,f42]) ).
fof(f42,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f100,plain,
( ~ subset(singleton(sK3),singleton(sK3))
| spl5_6 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl5_6
<=> subset(singleton(sK3),singleton(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f111,plain,
~ spl5_5,
inference(avatar_contradiction_clause,[],[f110]) ).
fof(f110,plain,
( $false
| ~ spl5_5 ),
inference(trivial_inequality_removal,[],[f109]) ).
fof(f109,plain,
( sK3 != sK3
| ~ spl5_5 ),
inference(superposition,[],[f44,f102]) ).
fof(f102,plain,
( sK3 = sK4
| ~ spl5_5 ),
inference(resolution,[],[f96,f47]) ).
fof(f47,plain,
! [X3,X0] :
( ~ in(X3,singleton(X0))
| X0 = X3 ),
inference(equality_resolution,[],[f32]) ).
fof(f32,plain,
! [X3,X0,X1] :
( X0 = X3
| ~ in(X3,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ( ( sK0(X0,X1) != X0
| ~ in(sK0(X0,X1),X1) )
& ( sK0(X0,X1) = X0
| in(sK0(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f21,f22]) ).
fof(f22,plain,
! [X0,X1] :
( ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) )
=> ( ( sK0(X0,X1) != X0
| ~ in(sK0(X0,X1),X1) )
& ( sK0(X0,X1) = X0
| in(sK0(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| X0 != X2 )
& ( X0 = X2
| ~ in(X2,X1) ) )
| singleton(X0) != X1 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( singleton(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> X0 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(f96,plain,
( in(sK4,singleton(sK3))
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl5_5
<=> in(sK4,singleton(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f44,plain,
sK3 != sK4,
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
( sK3 != sK4
& singleton(sK3) = set_union2(singleton(sK3),singleton(sK4)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f19,f28]) ).
fof(f28,plain,
( ? [X0,X1] :
( X0 != X1
& singleton(X0) = set_union2(singleton(X0),singleton(X1)) )
=> ( sK3 != sK4
& singleton(sK3) = set_union2(singleton(sK3),singleton(sK4)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
? [X0,X1] :
( X0 != X1
& singleton(X0) = set_union2(singleton(X0),singleton(X1)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,negated_conjecture,
~ ! [X0,X1] :
( singleton(X0) = set_union2(singleton(X0),singleton(X1))
=> X0 = X1 ),
inference(negated_conjecture,[],[f11]) ).
fof(f11,conjecture,
! [X0,X1] :
( singleton(X0) = set_union2(singleton(X0),singleton(X1))
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_zfmisc_1) ).
fof(f101,plain,
( spl5_5
| ~ spl5_6 ),
inference(avatar_split_clause,[],[f89,f98,f94]) ).
fof(f89,plain,
( ~ subset(singleton(sK3),singleton(sK3))
| in(sK4,singleton(sK3)) ),
inference(superposition,[],[f70,f43]) ).
fof(f43,plain,
singleton(sK3) = set_union2(singleton(sK3),singleton(sK4)),
inference(cnf_transformation,[],[f29]) ).
fof(f70,plain,
! [X0,X1] :
( ~ subset(set_union2(X1,singleton(X0)),X1)
| in(X0,X1) ),
inference(superposition,[],[f39,f31]) ).
fof(f31,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f39,plain,
! [X0,X1] :
( ~ subset(set_union2(singleton(X0),X1),X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( in(X0,X1)
| ~ subset(set_union2(singleton(X0),X1),X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( subset(set_union2(singleton(X0),X1),X1)
=> in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l21_zfmisc_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET873+1 : TPTP v8.2.0. Released v3.2.0.
% 0.06/0.13 % 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
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 20 11:19:23 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.34 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/benchmark/theBenchmark.p
% 0.52/0.73 % (4036)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.52/0.73 % (4036)Refutation not found, incomplete strategy% (4036)------------------------------
% 0.52/0.73 % (4036)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.73 % (4036)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.73
% 0.52/0.73 % (4036)Memory used [KB]: 955
% 0.52/0.73 % (4036)Time elapsed: 0.002 s
% 0.52/0.73 % (4036)Instructions burned: 2 (million)
% 0.52/0.73 % (4030)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 (2996ds/34Mi)
% 0.52/0.73 % (4032)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.52/0.73 % (4031)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 (2996ds/51Mi)
% 0.52/0.73 % (4036)------------------------------
% 0.52/0.73 % (4036)------------------------------
% 0.52/0.73 % (4030)Refutation not found, incomplete strategy% (4030)------------------------------
% 0.52/0.73 % (4030)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.73 % (4030)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.73
% 0.52/0.73 % (4030)Memory used [KB]: 972
% 0.52/0.73 % (4030)Time elapsed: 0.003 s
% 0.52/0.73 % (4030)Instructions burned: 3 (million)
% 0.52/0.73 % (4030)------------------------------
% 0.52/0.73 % (4030)------------------------------
% 0.52/0.73 % (4031)First to succeed.
% 0.52/0.73 % (4038)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 (2996ds/56Mi)
% 0.52/0.73 % (4039)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.52/0.73 % (4038)Refutation not found, incomplete strategy% (4038)------------------------------
% 0.52/0.73 % (4038)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.73 % (4038)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.73
% 0.52/0.73 % (4038)Memory used [KB]: 967
% 0.52/0.73 % (4031)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4029"
% 0.52/0.73 % (4038)Time elapsed: 0.002 s
% 0.52/0.73 % (4038)Instructions burned: 2 (million)
% 0.52/0.73 % (4038)------------------------------
% 0.52/0.73 % (4038)------------------------------
% 0.52/0.73 % (4032)Also succeeded, but the first one will report.
% 0.52/0.74 % (4031)Refutation found. Thanks to Tanya!
% 0.52/0.74 % SZS status Theorem for theBenchmark
% 0.52/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 0.52/0.74 % (4031)------------------------------
% 0.52/0.74 % (4031)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.74 % (4031)Termination reason: Refutation
% 0.52/0.74
% 0.52/0.74 % (4031)Memory used [KB]: 1004
% 0.52/0.74 % (4031)Time elapsed: 0.005 s
% 0.52/0.74 % (4031)Instructions burned: 5 (million)
% 0.52/0.74 % (4029)Success in time 0.385 s
% 0.52/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------