TSTP Solution File: SEU159+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU159+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : Wed May 1 03:50:20 EDT 2024
% Result : Theorem 0.75s 0.94s
% Output : Refutation 0.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 54 ( 3 unt; 0 def)
% Number of atoms : 224 ( 66 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 268 ( 98 ~; 111 |; 45 &)
% ( 9 <=>; 4 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 113 ( 94 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f126,plain,
$false,
inference(avatar_sat_refutation,[],[f60,f61,f62,f81,f82,f125]) ).
fof(f125,plain,
( ~ spl5_3
| ~ spl5_2
| spl5_1 ),
inference(avatar_split_clause,[],[f121,f49,f53,f57]) ).
fof(f57,plain,
( spl5_3
<=> in(sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f53,plain,
( spl5_2
<=> in(sK2,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f49,plain,
( spl5_1
<=> subset(unordered_pair(sK2,sK3),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f121,plain,
( ~ in(sK2,sK4)
| ~ in(sK3,sK4)
| spl5_1 ),
inference(resolution,[],[f118,f51]) ).
fof(f51,plain,
( ~ subset(unordered_pair(sK2,sK3),sK4)
| spl5_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f118,plain,
! [X2,X0,X1] :
( subset(unordered_pair(X0,X1),X2)
| ~ in(X0,X2)
| ~ in(X1,X2) ),
inference(duplicate_literal_removal,[],[f115]) ).
fof(f115,plain,
! [X2,X0,X1] :
( ~ in(X0,X2)
| subset(unordered_pair(X0,X1),X2)
| subset(unordered_pair(X0,X1),X2)
| ~ in(X1,X2) ),
inference(superposition,[],[f36,f97]) ).
fof(f97,plain,
! [X2,X0,X1] :
( sK1(unordered_pair(X0,X1),X2) = X0
| subset(unordered_pair(X0,X1),X2)
| ~ in(X1,X2) ),
inference(duplicate_literal_removal,[],[f93]) ).
fof(f93,plain,
! [X2,X0,X1] :
( ~ in(X1,X2)
| subset(unordered_pair(X0,X1),X2)
| sK1(unordered_pair(X0,X1),X2) = X0
| subset(unordered_pair(X0,X1),X2) ),
inference(superposition,[],[f36,f87]) ).
fof(f87,plain,
! [X2,X0,X1] :
( sK1(unordered_pair(X0,X1),X2) = X1
| sK1(unordered_pair(X0,X1),X2) = X0
| subset(unordered_pair(X0,X1),X2) ),
inference(resolution,[],[f45,f35]) ).
fof(f35,plain,
! [X0,X1] :
( in(sK1(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK1(X0,X1),X1)
& in(sK1(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f19,f20]) ).
fof(f20,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK1(X0,X1),X1)
& in(sK1(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.HKSepvww95/Vampire---4.8_14535',d3_tarski) ).
fof(f45,plain,
! [X0,X1,X4] :
( ~ in(X4,unordered_pair(X0,X1))
| X0 = X4
| X1 = X4 ),
inference(equality_resolution,[],[f28]) ).
fof(f28,plain,
! [X2,X0,X1,X4] :
( X1 = X4
| X0 = X4
| ~ in(X4,X2)
| unordered_pair(X0,X1) != X2 ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ( unordered_pair(X0,X1) = X2
| ( ( ( sK0(X0,X1,X2) != X1
& sK0(X0,X1,X2) != X0 )
| ~ in(sK0(X0,X1,X2),X2) )
& ( sK0(X0,X1,X2) = X1
| sK0(X0,X1,X2) = X0
| in(sK0(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( X1 != X4
& X0 != X4 ) )
& ( X1 = X4
| X0 = X4
| ~ in(X4,X2) ) )
| unordered_pair(X0,X1) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( X1 != X3
& X0 != X3 )
| ~ in(X3,X2) )
& ( X1 = X3
| X0 = X3
| in(X3,X2) ) )
=> ( ( ( sK0(X0,X1,X2) != X1
& sK0(X0,X1,X2) != X0 )
| ~ in(sK0(X0,X1,X2),X2) )
& ( sK0(X0,X1,X2) = X1
| sK0(X0,X1,X2) = X0
| in(sK0(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X0,X1,X2] :
( ( unordered_pair(X0,X1) = X2
| ? [X3] :
( ( ( X1 != X3
& X0 != X3 )
| ~ in(X3,X2) )
& ( X1 = X3
| X0 = X3
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( X1 != X4
& X0 != X4 ) )
& ( X1 = X4
| X0 = X4
| ~ in(X4,X2) ) )
| unordered_pair(X0,X1) != X2 ) ),
inference(rectify,[],[f14]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ( unordered_pair(X0,X1) = X2
| ? [X3] :
( ( ( X1 != X3
& X0 != X3 )
| ~ in(X3,X2) )
& ( X1 = X3
| X0 = X3
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( X1 != X3
& X0 != X3 ) )
& ( X1 = X3
| X0 = X3
| ~ in(X3,X2) ) )
| unordered_pair(X0,X1) != X2 ) ),
inference(flattening,[],[f13]) ).
fof(f13,plain,
! [X0,X1,X2] :
( ( unordered_pair(X0,X1) = X2
| ? [X3] :
( ( ( X1 != X3
& X0 != X3 )
| ~ in(X3,X2) )
& ( X1 = X3
| X0 = X3
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( X1 != X3
& X0 != X3 ) )
& ( X1 = X3
| X0 = X3
| ~ in(X3,X2) ) )
| unordered_pair(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1,X2] :
( unordered_pair(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( X1 = X3
| X0 = X3 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.HKSepvww95/Vampire---4.8_14535',d2_tarski) ).
fof(f36,plain,
! [X0,X1] :
( ~ in(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f82,plain,
( spl5_2
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f79,f49,f53]) ).
fof(f79,plain,
( in(sK2,sK4)
| ~ spl5_1 ),
inference(resolution,[],[f76,f44]) ).
fof(f44,plain,
! [X1,X4] : in(X4,unordered_pair(X4,X1)),
inference(equality_resolution,[],[f43]) ).
fof(f43,plain,
! [X2,X1,X4] :
( in(X4,X2)
| unordered_pair(X4,X1) != X2 ),
inference(equality_resolution,[],[f29]) ).
fof(f29,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| X0 != X4
| unordered_pair(X0,X1) != X2 ),
inference(cnf_transformation,[],[f17]) ).
fof(f76,plain,
( ! [X0] :
( ~ in(X0,unordered_pair(sK2,sK3))
| in(X0,sK4) )
| ~ spl5_1 ),
inference(resolution,[],[f34,f50]) ).
fof(f50,plain,
( subset(unordered_pair(sK2,sK3),sK4)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f34,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f81,plain,
( spl5_3
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f78,f49,f57]) ).
fof(f78,plain,
( in(sK3,sK4)
| ~ spl5_1 ),
inference(resolution,[],[f76,f42]) ).
fof(f42,plain,
! [X0,X4] : in(X4,unordered_pair(X0,X4)),
inference(equality_resolution,[],[f41]) ).
fof(f41,plain,
! [X2,X0,X4] :
( in(X4,X2)
| unordered_pair(X0,X4) != X2 ),
inference(equality_resolution,[],[f30]) ).
fof(f30,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| X1 != X4
| unordered_pair(X0,X1) != X2 ),
inference(cnf_transformation,[],[f17]) ).
fof(f62,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f38,f53,f49]) ).
fof(f38,plain,
( in(sK2,sK4)
| subset(unordered_pair(sK2,sK3),sK4) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
( ( ~ in(sK3,sK4)
| ~ in(sK2,sK4)
| ~ subset(unordered_pair(sK2,sK3),sK4) )
& ( ( in(sK3,sK4)
& in(sK2,sK4) )
| subset(unordered_pair(sK2,sK3),sK4) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f23,f24]) ).
fof(f24,plain,
( ? [X0,X1,X2] :
( ( ~ in(X1,X2)
| ~ in(X0,X2)
| ~ subset(unordered_pair(X0,X1),X2) )
& ( ( in(X1,X2)
& in(X0,X2) )
| subset(unordered_pair(X0,X1),X2) ) )
=> ( ( ~ in(sK3,sK4)
| ~ in(sK2,sK4)
| ~ subset(unordered_pair(sK2,sK3),sK4) )
& ( ( in(sK3,sK4)
& in(sK2,sK4) )
| subset(unordered_pair(sK2,sK3),sK4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
? [X0,X1,X2] :
( ( ~ in(X1,X2)
| ~ in(X0,X2)
| ~ subset(unordered_pair(X0,X1),X2) )
& ( ( in(X1,X2)
& in(X0,X2) )
| subset(unordered_pair(X0,X1),X2) ) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
? [X0,X1,X2] :
( ( ~ in(X1,X2)
| ~ in(X0,X2)
| ~ subset(unordered_pair(X0,X1),X2) )
& ( ( in(X1,X2)
& in(X0,X2) )
| subset(unordered_pair(X0,X1),X2) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
? [X0,X1,X2] :
( subset(unordered_pair(X0,X1),X2)
<~> ( in(X1,X2)
& in(X0,X2) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X0,X1,X2] :
( subset(unordered_pair(X0,X1),X2)
<=> ( in(X1,X2)
& in(X0,X2) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X0,X1,X2] :
( subset(unordered_pair(X0,X1),X2)
<=> ( in(X1,X2)
& in(X0,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.HKSepvww95/Vampire---4.8_14535',t38_zfmisc_1) ).
fof(f61,plain,
( spl5_1
| spl5_3 ),
inference(avatar_split_clause,[],[f39,f57,f49]) ).
fof(f39,plain,
( in(sK3,sK4)
| subset(unordered_pair(sK2,sK3),sK4) ),
inference(cnf_transformation,[],[f25]) ).
fof(f60,plain,
( ~ spl5_1
| ~ spl5_2
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f40,f57,f53,f49]) ).
fof(f40,plain,
( ~ in(sK3,sK4)
| ~ in(sK2,sK4)
| ~ subset(unordered_pair(sK2,sK3),sK4) ),
inference(cnf_transformation,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU159+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.15 % 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
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Apr 30 16:12:46 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 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.HKSepvww95/Vampire---4.8_14535
% 0.75/0.93 % (14857)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.75/0.93 % (14854)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 (2994ds/34Mi)
% 0.75/0.93 % (14856)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.75/0.93 % (14855)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 (2994ds/51Mi)
% 0.75/0.93 % (14858)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 (2994ds/34Mi)
% 0.75/0.93 % (14859)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.75/0.93 % (14860)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 (2994ds/83Mi)
% 0.75/0.94 % (14861)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 (2994ds/56Mi)
% 0.75/0.94 % (14859)Refutation not found, incomplete strategy% (14859)------------------------------
% 0.75/0.94 % (14859)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.75/0.94 % (14859)Termination reason: Refutation not found, incomplete strategy
% 0.75/0.94
% 0.75/0.94 % (14859)Memory used [KB]: 966
% 0.75/0.94 % (14859)Time elapsed: 0.003 s
% 0.75/0.94 % (14859)Instructions burned: 2 (million)
% 0.75/0.94 % (14859)------------------------------
% 0.75/0.94 % (14859)------------------------------
% 0.75/0.94 % (14858)Refutation not found, incomplete strategy% (14858)------------------------------
% 0.75/0.94 % (14858)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.75/0.94 % (14858)Termination reason: Refutation not found, incomplete strategy
% 0.75/0.94 % (14857)Refutation not found, incomplete strategy% (14857)------------------------------
% 0.75/0.94 % (14857)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.75/0.94 % (14857)Termination reason: Refutation not found, incomplete strategy
% 0.75/0.94
% 0.75/0.94 % (14857)Memory used [KB]: 971
% 0.75/0.94 % (14857)Time elapsed: 0.003 s
% 0.75/0.94 % (14857)Instructions burned: 3 (million)
% 0.75/0.94 % (14857)------------------------------
% 0.75/0.94 % (14857)------------------------------
% 0.75/0.94
% 0.75/0.94 % (14858)Memory used [KB]: 972
% 0.75/0.94 % (14858)Time elapsed: 0.003 s
% 0.75/0.94 % (14858)Instructions burned: 3 (million)
% 0.75/0.94 % (14858)------------------------------
% 0.75/0.94 % (14858)------------------------------
% 0.75/0.94 % (14861)Refutation not found, incomplete strategy% (14861)------------------------------
% 0.75/0.94 % (14861)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.75/0.94 % (14861)Termination reason: Refutation not found, incomplete strategy
% 0.75/0.94
% 0.75/0.94 % (14861)Memory used [KB]: 968
% 0.75/0.94 % (14861)Time elapsed: 0.003 s
% 0.75/0.94 % (14861)Instructions burned: 2 (million)
% 0.75/0.94 % (14861)------------------------------
% 0.75/0.94 % (14861)------------------------------
% 0.75/0.94 % (14854)Refutation not found, incomplete strategy% (14854)------------------------------
% 0.75/0.94 % (14854)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.75/0.94 % (14854)Termination reason: Refutation not found, incomplete strategy
% 0.75/0.94 % (14855)First to succeed.
% 0.75/0.94
% 0.75/0.94 % (14854)Memory used [KB]: 1045
% 0.75/0.94 % (14854)Time elapsed: 0.005 s
% 0.75/0.94 % (14854)Instructions burned: 6 (million)
% 0.75/0.94 % (14854)------------------------------
% 0.75/0.94 % (14854)------------------------------
% 0.75/0.94 % (14856)Also succeeded, but the first one will report.
% 0.75/0.94 % (14862)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 Vampire---4 for (2994ds/55Mi)
% 0.75/0.94 % (14860)Also succeeded, but the first one will report.
% 0.75/0.94 % (14855)Refutation found. Thanks to Tanya!
% 0.75/0.94 % SZS status Theorem for Vampire---4
% 0.75/0.94 % SZS output start Proof for Vampire---4
% See solution above
% 0.75/0.94 % (14855)------------------------------
% 0.75/0.94 % (14855)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.75/0.94 % (14855)Termination reason: Refutation
% 0.75/0.94
% 0.75/0.94 % (14855)Memory used [KB]: 1069
% 0.75/0.94 % (14855)Time elapsed: 0.006 s
% 0.75/0.94 % (14855)Instructions burned: 7 (million)
% 0.75/0.94 % (14855)------------------------------
% 0.75/0.94 % (14855)------------------------------
% 0.75/0.94 % (14786)Success in time 0.565 s
% 0.75/0.94 % Vampire---4.8 exiting
%------------------------------------------------------------------------------