TSTP Solution File: SEU047+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU047+1 : TPTP v8.1.2. 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 : n021.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 03:49:53 EDT 2024
% Result : Theorem 0.79s 0.95s
% Output : Refutation 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 5 unt; 0 def)
% Number of atoms : 100 ( 25 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 106 ( 41 ~; 34 |; 19 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 47 ( 38 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f144,plain,
$false,
inference(avatar_sat_refutation,[],[f118,f124,f138]) ).
fof(f138,plain,
spl13_2,
inference(avatar_contradiction_clause,[],[f137]) ).
fof(f137,plain,
( $false
| spl13_2 ),
inference(subsumption_resolution,[],[f136,f72]) ).
fof(f72,plain,
relation(sK2),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( relation_rng_restriction(sK0,sK2) != relation_rng_restriction(sK0,relation_rng_restriction(sK1,sK2))
| relation_rng_restriction(sK0,sK2) != relation_rng_restriction(sK1,relation_rng_restriction(sK0,sK2)) )
& subset(sK0,sK1)
& function(sK2)
& relation(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f39,f51]) ).
fof(f51,plain,
( ? [X0,X1,X2] :
( ( relation_rng_restriction(X0,X2) != relation_rng_restriction(X0,relation_rng_restriction(X1,X2))
| relation_rng_restriction(X0,X2) != relation_rng_restriction(X1,relation_rng_restriction(X0,X2)) )
& subset(X0,X1)
& function(X2)
& relation(X2) )
=> ( ( relation_rng_restriction(sK0,sK2) != relation_rng_restriction(sK0,relation_rng_restriction(sK1,sK2))
| relation_rng_restriction(sK0,sK2) != relation_rng_restriction(sK1,relation_rng_restriction(sK0,sK2)) )
& subset(sK0,sK1)
& function(sK2)
& relation(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
? [X0,X1,X2] :
( ( relation_rng_restriction(X0,X2) != relation_rng_restriction(X0,relation_rng_restriction(X1,X2))
| relation_rng_restriction(X0,X2) != relation_rng_restriction(X1,relation_rng_restriction(X0,X2)) )
& subset(X0,X1)
& function(X2)
& relation(X2) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
? [X0,X1,X2] :
( ( relation_rng_restriction(X0,X2) != relation_rng_restriction(X0,relation_rng_restriction(X1,X2))
| relation_rng_restriction(X0,X2) != relation_rng_restriction(X1,relation_rng_restriction(X0,X2)) )
& subset(X0,X1)
& function(X2)
& relation(X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,negated_conjecture,
~ ! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( subset(X0,X1)
=> ( relation_rng_restriction(X0,X2) = relation_rng_restriction(X0,relation_rng_restriction(X1,X2))
& relation_rng_restriction(X0,X2) = relation_rng_restriction(X1,relation_rng_restriction(X0,X2)) ) ) ),
inference(negated_conjecture,[],[f31]) ).
fof(f31,conjecture,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( subset(X0,X1)
=> ( relation_rng_restriction(X0,X2) = relation_rng_restriction(X0,relation_rng_restriction(X1,X2))
& relation_rng_restriction(X0,X2) = relation_rng_restriction(X1,relation_rng_restriction(X0,X2)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.OQPpz8xaiL/Vampire---4.8_27177',t97_funct_1) ).
fof(f136,plain,
( ~ relation(sK2)
| spl13_2 ),
inference(subsumption_resolution,[],[f134,f74]) ).
fof(f74,plain,
subset(sK0,sK1),
inference(cnf_transformation,[],[f52]) ).
fof(f134,plain,
( ~ subset(sK0,sK1)
| ~ relation(sK2)
| spl13_2 ),
inference(resolution,[],[f117,f106]) ).
fof(f106,plain,
! [X2,X0,X1] :
( sQ12_eqProxy(relation_rng_restriction(X0,X2),relation_rng_restriction(X0,relation_rng_restriction(X1,X2)))
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(equality_proxy_replacement,[],[f76,f104]) ).
fof(f104,plain,
! [X0,X1] :
( sQ12_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ12_eqProxy])]) ).
fof(f76,plain,
! [X2,X0,X1] :
( relation_rng_restriction(X0,X2) = relation_rng_restriction(X0,relation_rng_restriction(X1,X2))
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] :
( relation_rng_restriction(X0,X2) = relation_rng_restriction(X0,relation_rng_restriction(X1,X2))
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( relation_rng_restriction(X0,X2) = relation_rng_restriction(X0,relation_rng_restriction(X1,X2))
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( subset(X0,X1)
=> relation_rng_restriction(X0,X2) = relation_rng_restriction(X0,relation_rng_restriction(X1,X2)) ) ),
file('/export/starexec/sandbox/tmp/tmp.OQPpz8xaiL/Vampire---4.8_27177',t130_relat_1) ).
fof(f117,plain,
( ~ sQ12_eqProxy(relation_rng_restriction(sK0,sK2),relation_rng_restriction(sK0,relation_rng_restriction(sK1,sK2)))
| spl13_2 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl13_2
<=> sQ12_eqProxy(relation_rng_restriction(sK0,sK2),relation_rng_restriction(sK0,relation_rng_restriction(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f124,plain,
spl13_1,
inference(avatar_contradiction_clause,[],[f123]) ).
fof(f123,plain,
( $false
| spl13_1 ),
inference(subsumption_resolution,[],[f122,f72]) ).
fof(f122,plain,
( ~ relation(sK2)
| spl13_1 ),
inference(subsumption_resolution,[],[f120,f74]) ).
fof(f120,plain,
( ~ subset(sK0,sK1)
| ~ relation(sK2)
| spl13_1 ),
inference(resolution,[],[f113,f107]) ).
fof(f107,plain,
! [X2,X0,X1] :
( sQ12_eqProxy(relation_rng_restriction(X0,X2),relation_rng_restriction(X1,relation_rng_restriction(X0,X2)))
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(equality_proxy_replacement,[],[f77,f104]) ).
fof(f77,plain,
! [X2,X0,X1] :
( relation_rng_restriction(X0,X2) = relation_rng_restriction(X1,relation_rng_restriction(X0,X2))
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2] :
( relation_rng_restriction(X0,X2) = relation_rng_restriction(X1,relation_rng_restriction(X0,X2))
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2] :
( relation_rng_restriction(X0,X2) = relation_rng_restriction(X1,relation_rng_restriction(X0,X2))
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( subset(X0,X1)
=> relation_rng_restriction(X0,X2) = relation_rng_restriction(X1,relation_rng_restriction(X0,X2)) ) ),
file('/export/starexec/sandbox/tmp/tmp.OQPpz8xaiL/Vampire---4.8_27177',t129_relat_1) ).
fof(f113,plain,
( ~ sQ12_eqProxy(relation_rng_restriction(sK0,sK2),relation_rng_restriction(sK1,relation_rng_restriction(sK0,sK2)))
| spl13_1 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl13_1
<=> sQ12_eqProxy(relation_rng_restriction(sK0,sK2),relation_rng_restriction(sK1,relation_rng_restriction(sK0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f118,plain,
( ~ spl13_1
| ~ spl13_2 ),
inference(avatar_split_clause,[],[f105,f115,f111]) ).
fof(f105,plain,
( ~ sQ12_eqProxy(relation_rng_restriction(sK0,sK2),relation_rng_restriction(sK0,relation_rng_restriction(sK1,sK2)))
| ~ sQ12_eqProxy(relation_rng_restriction(sK0,sK2),relation_rng_restriction(sK1,relation_rng_restriction(sK0,sK2))) ),
inference(equality_proxy_replacement,[],[f75,f104,f104]) ).
fof(f75,plain,
( relation_rng_restriction(sK0,sK2) != relation_rng_restriction(sK0,relation_rng_restriction(sK1,sK2))
| relation_rng_restriction(sK0,sK2) != relation_rng_restriction(sK1,relation_rng_restriction(sK0,sK2)) ),
inference(cnf_transformation,[],[f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU047+1 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.15 % 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
% 0.16/0.37 % Computer : n021.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Apr 30 16:20:26 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37 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.OQPpz8xaiL/Vampire---4.8_27177
% 0.79/0.95 % (27504)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)
% 0.79/0.95 % (27499)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)
% 0.79/0.95 % (27501)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.79/0.95 % (27500)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)
% 0.79/0.95 % (27502)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)
% 0.79/0.95 % (27506)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)
% 0.79/0.95 % (27503)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)
% 0.79/0.95 % (27505)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)
% 0.79/0.95 % (27506)First to succeed.
% 0.79/0.95 % (27499)Also succeeded, but the first one will report.
% 0.79/0.95 % (27503)Also succeeded, but the first one will report.
% 0.79/0.95 % (27506)Refutation found. Thanks to Tanya!
% 0.79/0.95 % SZS status Theorem for Vampire---4
% 0.79/0.95 % SZS output start Proof for Vampire---4
% See solution above
% 0.79/0.95 % (27506)------------------------------
% 0.79/0.95 % (27506)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.79/0.95 % (27506)Termination reason: Refutation
% 0.79/0.95
% 0.79/0.95 % (27506)Memory used [KB]: 1064
% 0.79/0.95 % (27506)Time elapsed: 0.004 s
% 0.79/0.95 % (27506)Instructions burned: 4 (million)
% 0.79/0.95 % (27506)------------------------------
% 0.79/0.95 % (27506)------------------------------
% 0.79/0.95 % (27424)Success in time 0.574 s
% 0.79/0.95 % Vampire---4.8 exiting
%------------------------------------------------------------------------------