TSTP Solution File: SEU096+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU096+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 : n027.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 : Sun May 5 09:20:14 EDT 2024
% Result : Theorem 0.60s 0.79s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 7 unt; 0 def)
% Number of atoms : 95 ( 4 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 114 ( 45 ~; 34 |; 26 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 31 ( 25 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f336,plain,
$false,
inference(subsumption_resolution,[],[f335,f159]) ).
fof(f159,plain,
finite(relation_inverse_image(sK1,sK0)),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( ~ finite(sK0)
& finite(relation_inverse_image(sK1,sK0))
& subset(sK0,relation_rng(sK1))
& function(sK1)
& relation(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f80,f109]) ).
fof(f109,plain,
( ? [X0,X1] :
( ~ finite(X0)
& finite(relation_inverse_image(X1,X0))
& subset(X0,relation_rng(X1))
& function(X1)
& relation(X1) )
=> ( ~ finite(sK0)
& finite(relation_inverse_image(sK1,sK0))
& subset(sK0,relation_rng(sK1))
& function(sK1)
& relation(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
? [X0,X1] :
( ~ finite(X0)
& finite(relation_inverse_image(X1,X0))
& subset(X0,relation_rng(X1))
& function(X1)
& relation(X1) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
? [X0,X1] :
( ~ finite(X0)
& finite(relation_inverse_image(X1,X0))
& subset(X0,relation_rng(X1))
& function(X1)
& relation(X1) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( ( finite(relation_inverse_image(X1,X0))
& subset(X0,relation_rng(X1)) )
=> finite(X0) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( ( finite(relation_inverse_image(X1,X0))
& subset(X0,relation_rng(X1)) )
=> finite(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.4Q7ghRqyYR/Vampire---4.8_7522',t27_finset_1) ).
fof(f335,plain,
~ finite(relation_inverse_image(sK1,sK0)),
inference(subsumption_resolution,[],[f334,f156]) ).
fof(f156,plain,
relation(sK1),
inference(cnf_transformation,[],[f110]) ).
fof(f334,plain,
( ~ relation(sK1)
| ~ finite(relation_inverse_image(sK1,sK0)) ),
inference(subsumption_resolution,[],[f331,f157]) ).
fof(f157,plain,
function(sK1),
inference(cnf_transformation,[],[f110]) ).
fof(f331,plain,
( ~ function(sK1)
| ~ relation(sK1)
| ~ finite(relation_inverse_image(sK1,sK0)) ),
inference(resolution,[],[f329,f158]) ).
fof(f158,plain,
subset(sK0,relation_rng(sK1)),
inference(cnf_transformation,[],[f110]) ).
fof(f329,plain,
! [X0] :
( ~ subset(sK0,relation_rng(X0))
| ~ function(X0)
| ~ relation(X0)
| ~ finite(relation_inverse_image(X0,sK0)) ),
inference(resolution,[],[f323,f160]) ).
fof(f160,plain,
~ finite(sK0),
inference(cnf_transformation,[],[f110]) ).
fof(f323,plain,
! [X0,X1] :
( finite(X1)
| ~ finite(relation_inverse_image(X0,X1))
| ~ function(X0)
| ~ relation(X0)
| ~ subset(X1,relation_rng(X0)) ),
inference(duplicate_literal_removal,[],[f322]) ).
fof(f322,plain,
! [X0,X1] :
( finite(X1)
| ~ finite(relation_inverse_image(X0,X1))
| ~ function(X0)
| ~ relation(X0)
| ~ subset(X1,relation_rng(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(superposition,[],[f165,f161]) ).
fof(f161,plain,
! [X0,X1] :
( relation_image(X1,relation_inverse_image(X1,X0)) = X0
| ~ subset(X0,relation_rng(X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( relation_image(X1,relation_inverse_image(X1,X0)) = X0
| ~ subset(X0,relation_rng(X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( relation_image(X1,relation_inverse_image(X1,X0)) = X0
| ~ subset(X0,relation_rng(X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( subset(X0,relation_rng(X1))
=> relation_image(X1,relation_inverse_image(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.4Q7ghRqyYR/Vampire---4.8_7522',t147_funct_1) ).
fof(f165,plain,
! [X0,X1] :
( finite(relation_image(X1,X0))
| ~ finite(X0)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( finite(relation_image(X1,X0))
| ~ finite(X0)
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( finite(relation_image(X1,X0))
| ~ finite(X0)
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( finite(X0)
=> finite(relation_image(X1,X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.4Q7ghRqyYR/Vampire---4.8_7522',t17_finset_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SEU096+1 : TPTP v8.1.2. Released v3.2.0.
% 0.16/0.15 % 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
% 0.16/0.37 % Computer : n027.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 : Fri May 3 11:53:06 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.4Q7ghRqyYR/Vampire---4.8_7522
% 0.60/0.79 % (7631)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 (2995ds/34Mi)
% 0.60/0.79 % (7632)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 (2995ds/51Mi)
% 0.60/0.79 % (7634)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.79 % (7638)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 (2995ds/56Mi)
% 0.60/0.79 % (7636)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.79 % (7635)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 (2995ds/34Mi)
% 0.60/0.79 % (7633)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.79 % (7631)Refutation not found, incomplete strategy% (7631)------------------------------
% 0.60/0.79 % (7631)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (7631)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79
% 0.60/0.79 % (7631)Memory used [KB]: 1067
% 0.60/0.79 % (7631)Time elapsed: 0.002 s
% 0.60/0.79 % (7631)Instructions burned: 4 (million)
% 0.60/0.79 % (7631)------------------------------
% 0.60/0.79 % (7631)------------------------------
% 0.60/0.79 % (7636)Refutation not found, incomplete strategy% (7636)------------------------------
% 0.60/0.79 % (7636)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (7638)Refutation not found, incomplete strategy% (7638)------------------------------
% 0.60/0.79 % (7638)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (7638)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79
% 0.60/0.79 % (7638)Memory used [KB]: 1056
% 0.60/0.79 % (7638)Time elapsed: 0.003 s
% 0.60/0.79 % (7638)Instructions burned: 3 (million)
% 0.60/0.79 % (7636)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79
% 0.60/0.79 % (7636)Memory used [KB]: 1043
% 0.60/0.79 % (7636)Time elapsed: 0.003 s
% 0.60/0.79 % (7636)Instructions burned: 3 (million)
% 0.60/0.79 % (7638)------------------------------
% 0.60/0.79 % (7638)------------------------------
% 0.60/0.79 % (7636)------------------------------
% 0.60/0.79 % (7636)------------------------------
% 0.60/0.79 % (7635)Refutation not found, incomplete strategy% (7635)------------------------------
% 0.60/0.79 % (7635)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (7635)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79
% 0.60/0.79 % (7635)Memory used [KB]: 1148
% 0.60/0.79 % (7635)Time elapsed: 0.004 s
% 0.60/0.79 % (7635)Instructions burned: 5 (million)
% 0.60/0.79 % (7637)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 (2995ds/83Mi)
% 0.60/0.79 % (7635)------------------------------
% 0.60/0.79 % (7635)------------------------------
% 0.60/0.79 % (7639)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 (2995ds/55Mi)
% 0.60/0.79 % (7633)First to succeed.
% 0.60/0.79 % (7640)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.60/0.79 % (7633)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7629"
% 0.60/0.79 % (7633)Refutation found. Thanks to Tanya!
% 0.60/0.79 % SZS status Theorem for Vampire---4
% 0.60/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.79 % (7633)------------------------------
% 0.60/0.79 % (7633)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (7633)Termination reason: Refutation
% 0.60/0.79
% 0.60/0.79 % (7633)Memory used [KB]: 1158
% 0.60/0.79 % (7633)Time elapsed: 0.007 s
% 0.60/0.79 % (7633)Instructions burned: 9 (million)
% 0.60/0.79 % (7629)Success in time 0.414 s
% 0.60/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------