TSTP Solution File: SEU062+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU062+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n016.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 03:49:57 EDT 2024
% Result : Theorem 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 6 unt; 0 def)
% Number of atoms : 94 ( 14 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 112 ( 48 ~; 30 |; 21 &)
% ( 5 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 57 ( 48 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f149,plain,
$false,
inference(subsumption_resolution,[],[f148,f135]) ).
fof(f135,plain,
~ in(sK4(sK0,relation_rng(sK1)),relation_rng(sK1)),
inference(resolution,[],[f80,f104]) ).
fof(f104,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK4(X0,X1),X1)
& in(sK4(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f65,f66]) ).
fof(f66,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK4(X0,X1),X1)
& in(sK4(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f65,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,[],[f64]) ).
fof(f64,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,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.WIFGIMK6SU/Vampire---4.8_19108',d3_tarski) ).
fof(f80,plain,
~ subset(sK0,relation_rng(sK1)),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ~ subset(sK0,relation_rng(sK1))
& ! [X2] :
( empty_set != relation_inverse_image(sK1,singleton(X2))
| ~ in(X2,sK0) )
& relation(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f38,f56]) ).
fof(f56,plain,
( ? [X0,X1] :
( ~ subset(X0,relation_rng(X1))
& ! [X2] :
( empty_set != relation_inverse_image(X1,singleton(X2))
| ~ in(X2,X0) )
& relation(X1) )
=> ( ~ subset(sK0,relation_rng(sK1))
& ! [X2] :
( empty_set != relation_inverse_image(sK1,singleton(X2))
| ~ in(X2,sK0) )
& relation(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
? [X0,X1] :
( ~ subset(X0,relation_rng(X1))
& ! [X2] :
( empty_set != relation_inverse_image(X1,singleton(X2))
| ~ in(X2,X0) )
& relation(X1) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
? [X0,X1] :
( ~ subset(X0,relation_rng(X1))
& ! [X2] :
( empty_set != relation_inverse_image(X1,singleton(X2))
| ~ in(X2,X0) )
& relation(X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> ( ! [X2] :
~ ( empty_set = relation_inverse_image(X1,singleton(X2))
& in(X2,X0) )
=> subset(X0,relation_rng(X1)) ) ),
inference(negated_conjecture,[],[f26]) ).
fof(f26,conjecture,
! [X0,X1] :
( relation(X1)
=> ( ! [X2] :
~ ( empty_set = relation_inverse_image(X1,singleton(X2))
& in(X2,X0) )
=> subset(X0,relation_rng(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.WIFGIMK6SU/Vampire---4.8_19108',t143_funct_1) ).
fof(f148,plain,
in(sK4(sK0,relation_rng(sK1)),relation_rng(sK1)),
inference(resolution,[],[f142,f134]) ).
fof(f134,plain,
in(sK4(sK0,relation_rng(sK1)),sK0),
inference(resolution,[],[f80,f103]) ).
fof(f103,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK4(X0,X1),X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f142,plain,
! [X0] :
( ~ in(X0,sK0)
| in(X0,relation_rng(sK1)) ),
inference(subsumption_resolution,[],[f139,f78]) ).
fof(f78,plain,
relation(sK1),
inference(cnf_transformation,[],[f57]) ).
fof(f139,plain,
! [X0] :
( ~ in(X0,sK0)
| in(X0,relation_rng(sK1))
| ~ relation(sK1) ),
inference(resolution,[],[f118,f121]) ).
fof(f121,plain,
! [X0,X1] :
( sQ10_eqProxy(empty_set,relation_inverse_image(X1,singleton(X0)))
| in(X0,relation_rng(X1))
| ~ relation(X1) ),
inference(equality_proxy_replacement,[],[f98,f117]) ).
fof(f117,plain,
! [X0,X1] :
( sQ10_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ10_eqProxy])]) ).
fof(f98,plain,
! [X0,X1] :
( in(X0,relation_rng(X1))
| empty_set = relation_inverse_image(X1,singleton(X0))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ( ( in(X0,relation_rng(X1))
| empty_set = relation_inverse_image(X1,singleton(X0)) )
& ( empty_set != relation_inverse_image(X1,singleton(X0))
| ~ in(X0,relation_rng(X1)) ) )
| ~ relation(X1) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ( in(X0,relation_rng(X1))
<=> empty_set != relation_inverse_image(X1,singleton(X0)) )
| ~ relation(X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1] :
( relation(X1)
=> ( in(X0,relation_rng(X1))
<=> empty_set != relation_inverse_image(X1,singleton(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.WIFGIMK6SU/Vampire---4.8_19108',t142_funct_1) ).
fof(f118,plain,
! [X2] :
( ~ sQ10_eqProxy(empty_set,relation_inverse_image(sK1,singleton(X2)))
| ~ in(X2,sK0) ),
inference(equality_proxy_replacement,[],[f79,f117]) ).
fof(f79,plain,
! [X2] :
( empty_set != relation_inverse_image(sK1,singleton(X2))
| ~ in(X2,sK0) ),
inference(cnf_transformation,[],[f57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU062+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.15 % 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
% 0.16/0.36 % Computer : n016.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 16:50:56 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36 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/tmp/tmp.WIFGIMK6SU/Vampire---4.8_19108
% 0.56/0.75 % (19458)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)
% 0.56/0.75 % (19451)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)
% 0.56/0.75 % (19453)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75 % (19452)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)
% 0.56/0.75 % (19454)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)
% 0.56/0.75 % (19455)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)
% 0.56/0.75 % (19456)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)
% 0.56/0.75 % (19457)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)
% 0.56/0.75 % (19458)First to succeed.
% 0.56/0.75 % (19458)Refutation found. Thanks to Tanya!
% 0.56/0.75 % SZS status Theorem for Vampire---4
% 0.56/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75 % (19458)------------------------------
% 0.56/0.75 % (19458)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (19458)Termination reason: Refutation
% 0.56/0.75
% 0.56/0.75 % (19458)Memory used [KB]: 1057
% 0.56/0.75 % (19458)Time elapsed: 0.003 s
% 0.56/0.75 % (19458)Instructions burned: 4 (million)
% 0.56/0.75 % (19458)------------------------------
% 0.56/0.75 % (19458)------------------------------
% 0.56/0.75 % (19297)Success in time 0.378 s
% 0.56/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------