TSTP Solution File: SEU080+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU080+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 : n003.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 09:20:11 EDT 2024
% Result : Theorem 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 36 ( 13 unt; 0 def)
% Number of atoms : 123 ( 23 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 136 ( 49 ~; 41 |; 38 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 46 ( 37 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f165,plain,
$false,
inference(subsumption_resolution,[],[f164,f159]) ).
fof(f159,plain,
~ subset(sK0,sK1),
inference(subsumption_resolution,[],[f158,f84]) ).
fof(f84,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( sK0 != sK1
& subset(sK1,relation_rng(sK2))
& subset(sK0,relation_rng(sK2))
& relation_inverse_image(sK2,sK0) = relation_inverse_image(sK2,sK1)
& function(sK2)
& relation(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f37,f56]) ).
fof(f56,plain,
( ? [X0,X1,X2] :
( X0 != X1
& subset(X1,relation_rng(X2))
& subset(X0,relation_rng(X2))
& relation_inverse_image(X2,X0) = relation_inverse_image(X2,X1)
& function(X2)
& relation(X2) )
=> ( sK0 != sK1
& subset(sK1,relation_rng(sK2))
& subset(sK0,relation_rng(sK2))
& relation_inverse_image(sK2,sK0) = relation_inverse_image(sK2,sK1)
& function(sK2)
& relation(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
? [X0,X1,X2] :
( X0 != X1
& subset(X1,relation_rng(X2))
& subset(X0,relation_rng(X2))
& relation_inverse_image(X2,X0) = relation_inverse_image(X2,X1)
& function(X2)
& relation(X2) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
? [X0,X1,X2] :
( X0 != X1
& subset(X1,relation_rng(X2))
& subset(X0,relation_rng(X2))
& relation_inverse_image(X2,X0) = relation_inverse_image(X2,X1)
& function(X2)
& relation(X2) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,negated_conjecture,
~ ! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( ( subset(X1,relation_rng(X2))
& subset(X0,relation_rng(X2))
& relation_inverse_image(X2,X0) = relation_inverse_image(X2,X1) )
=> X0 = X1 ) ),
inference(negated_conjecture,[],[f25]) ).
fof(f25,conjecture,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( ( subset(X1,relation_rng(X2))
& subset(X0,relation_rng(X2))
& relation_inverse_image(X2,X0) = relation_inverse_image(X2,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.4HJFYx9k8d/Vampire---4.8_19905',t161_funct_1) ).
fof(f158,plain,
( sK0 = sK1
| ~ subset(sK0,sK1) ),
inference(resolution,[],[f154,f89]) ).
fof(f89,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| X0 = X1
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.4HJFYx9k8d/Vampire---4.8_19905',d10_xboole_0) ).
fof(f154,plain,
subset(sK1,sK0),
inference(resolution,[],[f153,f107]) ).
fof(f107,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.4HJFYx9k8d/Vampire---4.8_19905',reflexivity_r1_tarski) ).
fof(f153,plain,
! [X0] :
( ~ subset(relation_inverse_image(sK2,sK0),relation_inverse_image(sK2,X0))
| subset(sK1,X0) ),
inference(subsumption_resolution,[],[f152,f79]) ).
fof(f79,plain,
relation(sK2),
inference(cnf_transformation,[],[f57]) ).
fof(f152,plain,
! [X0] :
( ~ subset(relation_inverse_image(sK2,sK0),relation_inverse_image(sK2,X0))
| subset(sK1,X0)
| ~ relation(sK2) ),
inference(subsumption_resolution,[],[f151,f80]) ).
fof(f80,plain,
function(sK2),
inference(cnf_transformation,[],[f57]) ).
fof(f151,plain,
! [X0] :
( ~ subset(relation_inverse_image(sK2,sK0),relation_inverse_image(sK2,X0))
| subset(sK1,X0)
| ~ function(sK2)
| ~ relation(sK2) ),
inference(subsumption_resolution,[],[f148,f83]) ).
fof(f83,plain,
subset(sK1,relation_rng(sK2)),
inference(cnf_transformation,[],[f57]) ).
fof(f148,plain,
! [X0] :
( ~ subset(relation_inverse_image(sK2,sK0),relation_inverse_image(sK2,X0))
| ~ subset(sK1,relation_rng(sK2))
| subset(sK1,X0)
| ~ function(sK2)
| ~ relation(sK2) ),
inference(superposition,[],[f99,f81]) ).
fof(f81,plain,
relation_inverse_image(sK2,sK0) = relation_inverse_image(sK2,sK1),
inference(cnf_transformation,[],[f57]) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
| ~ subset(X0,relation_rng(X2))
| subset(X0,X1)
| ~ function(X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( subset(X0,X1)
| ~ subset(X0,relation_rng(X2))
| ~ subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
| ~ function(X2)
| ~ relation(X2) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2] :
( subset(X0,X1)
| ~ subset(X0,relation_rng(X2))
| ~ subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
| ~ function(X2)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( ( subset(X0,relation_rng(X2))
& subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1)) )
=> subset(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.4HJFYx9k8d/Vampire---4.8_19905',t158_funct_1) ).
fof(f164,plain,
subset(sK0,sK1),
inference(subsumption_resolution,[],[f160,f82]) ).
fof(f82,plain,
subset(sK0,relation_rng(sK2)),
inference(cnf_transformation,[],[f57]) ).
fof(f160,plain,
( ~ subset(sK0,relation_rng(sK2))
| subset(sK0,sK1) ),
inference(resolution,[],[f150,f107]) ).
fof(f150,plain,
! [X0] :
( ~ subset(relation_inverse_image(sK2,X0),relation_inverse_image(sK2,sK0))
| ~ subset(X0,relation_rng(sK2))
| subset(X0,sK1) ),
inference(subsumption_resolution,[],[f149,f79]) ).
fof(f149,plain,
! [X0] :
( ~ subset(relation_inverse_image(sK2,X0),relation_inverse_image(sK2,sK0))
| ~ subset(X0,relation_rng(sK2))
| subset(X0,sK1)
| ~ relation(sK2) ),
inference(subsumption_resolution,[],[f147,f80]) ).
fof(f147,plain,
! [X0] :
( ~ subset(relation_inverse_image(sK2,X0),relation_inverse_image(sK2,sK0))
| ~ subset(X0,relation_rng(sK2))
| subset(X0,sK1)
| ~ function(sK2)
| ~ relation(sK2) ),
inference(superposition,[],[f99,f81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SEU080+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.15 % 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 : n003.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 : Fri May 3 11:40:20 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.4HJFYx9k8d/Vampire---4.8_19905
% 0.55/0.75 % (20330)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)
% 0.55/0.75 % (20323)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)
% 0.55/0.75 % (20325)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75 % (20324)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)
% 0.55/0.75 % (20326)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)
% 0.55/0.75 % (20328)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)
% 0.55/0.75 % (20330)Refutation not found, incomplete strategy% (20330)------------------------------
% 0.55/0.75 % (20330)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (20330)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (20330)Memory used [KB]: 1049
% 0.55/0.75 % (20330)Time elapsed: 0.002 s
% 0.55/0.75 % (20330)Instructions burned: 3 (million)
% 0.55/0.75 % (20329)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)
% 0.55/0.75 % (20327)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)
% 0.55/0.75 % (20330)------------------------------
% 0.55/0.75 % (20330)------------------------------
% 0.55/0.75 % (20323)Refutation not found, incomplete strategy% (20323)------------------------------
% 0.55/0.75 % (20323)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (20323)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (20323)Memory used [KB]: 994
% 0.55/0.75 % (20323)Time elapsed: 0.004 s
% 0.55/0.75 % (20323)Instructions burned: 3 (million)
% 0.55/0.75 % (20323)------------------------------
% 0.55/0.75 % (20323)------------------------------
% 0.55/0.75 % (20328)First to succeed.
% 0.55/0.75 % (20326)Refutation not found, incomplete strategy% (20326)------------------------------
% 0.55/0.75 % (20326)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (20326)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (20326)Memory used [KB]: 1055
% 0.55/0.75 % (20326)Time elapsed: 0.004 s
% 0.55/0.75 % (20326)Instructions burned: 4 (million)
% 0.55/0.75 % (20333)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 (2996ds/55Mi)
% 0.55/0.75 % (20326)------------------------------
% 0.55/0.75 % (20326)------------------------------
% 0.55/0.75 % (20328)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20139"
% 0.55/0.75 % (20328)Refutation found. Thanks to Tanya!
% 0.55/0.75 % SZS status Theorem for Vampire---4
% 0.55/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75 % (20328)------------------------------
% 0.55/0.75 % (20328)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (20328)Termination reason: Refutation
% 0.55/0.75
% 0.55/0.75 % (20328)Memory used [KB]: 1061
% 0.55/0.75 % (20328)Time elapsed: 0.005 s
% 0.55/0.75 % (20328)Instructions burned: 5 (million)
% 0.55/0.75 % (20139)Success in time 0.382 s
% 0.55/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------