TSTP Solution File: SEU177+2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU177+2 : 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 : n010.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 03:50:29 EDT 2024
% Result : Theorem 0.60s 0.77s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 41 ( 7 unt; 0 def)
% Number of atoms : 171 ( 18 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 204 ( 74 ~; 73 |; 34 &)
% ( 10 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 117 ( 82 !; 35 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f936,plain,
$false,
inference(avatar_sat_refutation,[],[f752,f875,f935]) ).
fof(f935,plain,
spl43_2,
inference(avatar_contradiction_clause,[],[f934]) ).
fof(f934,plain,
( $false
| spl43_2 ),
inference(subsumption_resolution,[],[f919,f751]) ).
fof(f751,plain,
( ~ in(sK35,relation_rng(sK36))
| spl43_2 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f749,plain,
( spl43_2
<=> in(sK35,relation_rng(sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl43_2])]) ).
fof(f919,plain,
in(sK35,relation_rng(sK36)),
inference(resolution,[],[f755,f526]) ).
fof(f526,plain,
in(ordered_pair(sK34,sK35),sK36),
inference(cnf_transformation,[],[f345]) ).
fof(f345,plain,
( ( ~ in(sK35,relation_rng(sK36))
| ~ in(sK34,relation_dom(sK36)) )
& in(ordered_pair(sK34,sK35),sK36)
& relation(sK36) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34,sK35,sK36])],[f203,f344]) ).
fof(f344,plain,
( ? [X0,X1,X2] :
( ( ~ in(X1,relation_rng(X2))
| ~ in(X0,relation_dom(X2)) )
& in(ordered_pair(X0,X1),X2)
& relation(X2) )
=> ( ( ~ in(sK35,relation_rng(sK36))
| ~ in(sK34,relation_dom(sK36)) )
& in(ordered_pair(sK34,sK35),sK36)
& relation(sK36) ) ),
introduced(choice_axiom,[]) ).
fof(f203,plain,
? [X0,X1,X2] :
( ( ~ in(X1,relation_rng(X2))
| ~ in(X0,relation_dom(X2)) )
& in(ordered_pair(X0,X1),X2)
& relation(X2) ),
inference(flattening,[],[f202]) ).
fof(f202,plain,
? [X0,X1,X2] :
( ( ~ in(X1,relation_rng(X2))
| ~ in(X0,relation_dom(X2)) )
& in(ordered_pair(X0,X1),X2)
& relation(X2) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,negated_conjecture,
~ ! [X0,X1,X2] :
( relation(X2)
=> ( in(ordered_pair(X0,X1),X2)
=> ( in(X1,relation_rng(X2))
& in(X0,relation_dom(X2)) ) ) ),
inference(negated_conjecture,[],[f94]) ).
fof(f94,conjecture,
! [X0,X1,X2] :
( relation(X2)
=> ( in(ordered_pair(X0,X1),X2)
=> ( in(X1,relation_rng(X2))
& in(X0,relation_dom(X2)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.eGiA7M8sCK/Vampire---4.8_28113',t20_relat_1) ).
fof(f755,plain,
! [X0,X1] :
( ~ in(ordered_pair(X1,X0),sK36)
| in(X0,relation_rng(sK36)) ),
inference(resolution,[],[f525,f633]) ).
fof(f633,plain,
! [X0,X6,X5] :
( in(X5,relation_rng(X0))
| ~ in(ordered_pair(X6,X5),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f444]) ).
fof(f444,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X6,X5),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f312]) ).
fof(f312,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK22(X0,X1)),X0)
| ~ in(sK22(X0,X1),X1) )
& ( in(ordered_pair(sK23(X0,X1),sK22(X0,X1)),X0)
| in(sK22(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK24(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23,sK24])],[f308,f311,f310,f309]) ).
fof(f309,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) )
=> ( ( ! [X3] : ~ in(ordered_pair(X3,sK22(X0,X1)),X0)
| ~ in(sK22(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(X4,sK22(X0,X1)),X0)
| in(sK22(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f310,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(X4,sK22(X0,X1)),X0)
=> in(ordered_pair(sK23(X0,X1),sK22(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f311,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X7,X5),X0)
=> in(ordered_pair(sK24(X0,X5),X5),X0) ),
introduced(choice_axiom,[]) ).
fof(f308,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( ? [X7] : in(ordered_pair(X7,X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f307]) ).
fof(f307,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.eGiA7M8sCK/Vampire---4.8_28113',d5_relat_1) ).
fof(f525,plain,
relation(sK36),
inference(cnf_transformation,[],[f345]) ).
fof(f875,plain,
spl43_1,
inference(avatar_split_clause,[],[f858,f745]) ).
fof(f745,plain,
( spl43_1
<=> in(sK34,relation_dom(sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl43_1])]) ).
fof(f858,plain,
in(sK34,relation_dom(sK36)),
inference(resolution,[],[f753,f526]) ).
fof(f753,plain,
! [X0,X1] :
( ~ in(ordered_pair(X0,X1),sK36)
| in(X0,relation_dom(sK36)) ),
inference(resolution,[],[f525,f625]) ).
fof(f625,plain,
! [X0,X6,X5] :
( in(X5,relation_dom(X0))
| ~ in(ordered_pair(X5,X6),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f427]) ).
fof(f427,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f295,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ( ( ! [X3] : ~ in(ordered_pair(sK15(X0,X1),X3),X0)
| ~ in(sK15(X0,X1),X1) )
& ( in(ordered_pair(sK15(X0,X1),sK16(X0,X1)),X0)
| in(sK15(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK17(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17])],[f291,f294,f293,f292]) ).
fof(f292,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) )
=> ( ( ! [X3] : ~ in(ordered_pair(sK15(X0,X1),X3),X0)
| ~ in(sK15(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(sK15(X0,X1),X4),X0)
| in(sK15(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f293,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(sK15(X0,X1),X4),X0)
=> in(ordered_pair(sK15(X0,X1),sK16(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f294,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X5,X7),X0)
=> in(ordered_pair(X5,sK17(X0,X5)),X0) ),
introduced(choice_axiom,[]) ).
fof(f291,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f290]) ).
fof(f290,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ! [X1] :
( relation_dom(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation_dom(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.eGiA7M8sCK/Vampire---4.8_28113',d4_relat_1) ).
fof(f752,plain,
( ~ spl43_1
| ~ spl43_2 ),
inference(avatar_split_clause,[],[f527,f749,f745]) ).
fof(f527,plain,
( ~ in(sK35,relation_rng(sK36))
| ~ in(sK34,relation_dom(sK36)) ),
inference(cnf_transformation,[],[f345]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU177+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.15 % 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
% 0.14/0.36 % Computer : n010.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 16:05:34 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 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.eGiA7M8sCK/Vampire---4.8_28113
% 0.54/0.75 % (28528)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)
% 0.54/0.76 % (28520)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)
% 0.54/0.76 % (28523)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.76 % (28521)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)
% 0.54/0.76 % (28524)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)
% 0.54/0.76 % (28526)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)
% 0.54/0.76 % (28525)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)
% 0.54/0.76 % (28527)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)
% 0.60/0.76 % (28525)First to succeed.
% 0.60/0.77 % (28525)Refutation found. Thanks to Tanya!
% 0.60/0.77 % SZS status Theorem for Vampire---4
% 0.60/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77 % (28525)------------------------------
% 0.60/0.77 % (28525)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77 % (28525)Termination reason: Refutation
% 0.60/0.77
% 0.60/0.77 % (28525)Memory used [KB]: 1380
% 0.60/0.77 % (28525)Time elapsed: 0.012 s
% 0.60/0.77 % (28525)Instructions burned: 19 (million)
% 0.60/0.77 % (28525)------------------------------
% 0.60/0.77 % (28525)------------------------------
% 0.60/0.77 % (28366)Success in time 0.385 s
% 0.60/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------