TSTP Solution File: SEU303+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU303+1 : 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 : n006.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 09:22:06 EDT 2024
% Result : Theorem 0.44s 0.61s
% Output : Refutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 8 unt; 0 def)
% Number of atoms : 91 ( 3 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 91 ( 34 ~; 28 |; 19 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 18 ( 15 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f52,plain,
$false,
inference(avatar_sat_refutation,[],[f45,f47,f49,f51]) ).
fof(f51,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f50]) ).
fof(f50,plain,
( $false
| spl2_1 ),
inference(resolution,[],[f36,f26]) ).
fof(f26,plain,
relation(sK1),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
( ~ finite(relation_rng(sK1))
& finite(relation_dom(sK1))
& function(sK1)
& relation(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f16,f19]) ).
fof(f19,plain,
( ? [X0] :
( ~ finite(relation_rng(X0))
& finite(relation_dom(X0))
& function(X0)
& relation(X0) )
=> ( ~ finite(relation_rng(sK1))
& finite(relation_dom(sK1))
& function(sK1)
& relation(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0] :
( ~ finite(relation_rng(X0))
& finite(relation_dom(X0))
& function(X0)
& relation(X0) ),
inference(flattening,[],[f15]) ).
fof(f15,plain,
? [X0] :
( ~ finite(relation_rng(X0))
& finite(relation_dom(X0))
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( finite(relation_dom(X0))
=> finite(relation_rng(X0)) ) ),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( finite(relation_dom(X0))
=> finite(relation_rng(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.Z47ISUBihP/Vampire---4.8_2410',t26_finset_1) ).
fof(f36,plain,
( ~ relation(sK1)
| spl2_1 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f34,plain,
( spl2_1
<=> relation(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f49,plain,
~ spl2_3,
inference(avatar_contradiction_clause,[],[f48]) ).
fof(f48,plain,
( $false
| ~ spl2_3 ),
inference(resolution,[],[f44,f29]) ).
fof(f29,plain,
~ finite(relation_rng(sK1)),
inference(cnf_transformation,[],[f20]) ).
fof(f44,plain,
( finite(relation_rng(sK1))
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl2_3
<=> finite(relation_rng(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f47,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f46]) ).
fof(f46,plain,
( $false
| spl2_2 ),
inference(resolution,[],[f40,f27]) ).
fof(f27,plain,
function(sK1),
inference(cnf_transformation,[],[f20]) ).
fof(f40,plain,
( ~ function(sK1)
| spl2_2 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f38,plain,
( spl2_2
<=> function(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f45,plain,
( ~ spl2_1
| ~ spl2_2
| spl2_3 ),
inference(avatar_split_clause,[],[f32,f42,f38,f34]) ).
fof(f32,plain,
( finite(relation_rng(sK1))
| ~ function(sK1)
| ~ relation(sK1) ),
inference(resolution,[],[f31,f28]) ).
fof(f28,plain,
finite(relation_dom(sK1)),
inference(cnf_transformation,[],[f20]) ).
fof(f31,plain,
! [X0] :
( ~ finite(relation_dom(X0))
| finite(relation_rng(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(duplicate_literal_removal,[],[f30]) ).
fof(f30,plain,
! [X0] :
( finite(relation_rng(X0))
| ~ finite(relation_dom(X0))
| ~ function(X0)
| ~ relation(X0)
| ~ relation(X0) ),
inference(superposition,[],[f21,f24]) ).
fof(f24,plain,
! [X0] :
( relation_image(X0,relation_dom(X0)) = relation_rng(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0] :
( relation_image(X0,relation_dom(X0)) = relation_rng(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( relation(X0)
=> relation_image(X0,relation_dom(X0)) = relation_rng(X0) ),
file('/export/starexec/sandbox/tmp/tmp.Z47ISUBihP/Vampire---4.8_2410',t146_relat_1) ).
fof(f21,plain,
! [X0,X1] :
( finite(relation_image(X0,X1))
| ~ finite(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( finite(relation_image(X0,X1))
| ~ finite(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
! [X0,X1] :
( finite(relation_image(X0,X1))
| ~ finite(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ( finite(X1)
& function(X0)
& relation(X0) )
=> finite(relation_image(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.Z47ISUBihP/Vampire---4.8_2410',fc13_finset_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SEU303+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.09 % 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
% 0.08/0.27 % Computer : n006.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Fri May 3 10:47:49 EDT 2024
% 0.08/0.27 % CPUTime :
% 0.08/0.27 This is a FOF_THM_RFO_SEQ problem
% 0.08/0.27 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.Z47ISUBihP/Vampire---4.8_2410
% 0.44/0.61 % (2527)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)
% 0.44/0.61 % (2527)Refutation not found, incomplete strategy% (2527)------------------------------
% 0.44/0.61 % (2527)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.61 % (2527)Termination reason: Refutation not found, incomplete strategy
% 0.44/0.61
% 0.44/0.61 % (2527)Memory used [KB]: 964
% 0.44/0.61 % (2527)Time elapsed: 0.002 s
% 0.44/0.61 % (2527)Instructions burned: 2 (million)
% 0.44/0.61 % (2520)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)
% 0.44/0.61 % (2523)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)
% 0.44/0.61 % (2527)------------------------------
% 0.44/0.61 % (2527)------------------------------
% 0.44/0.61 % (2521)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)
% 0.44/0.61 % (2525)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)
% 0.44/0.61 % (2524)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)
% 0.44/0.61 % (2526)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)
% 0.44/0.61 % (2522)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.44/0.61 % (2525)Refutation not found, incomplete strategy% (2525)------------------------------
% 0.44/0.61 % (2525)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.61 % (2525)Termination reason: Refutation not found, incomplete strategy
% 0.44/0.61 % (2520)Refutation not found, incomplete strategy% (2520)------------------------------
% 0.44/0.61 % (2520)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.61
% 0.44/0.61 % (2525)Memory used [KB]: 948
% 0.44/0.61 % (2525)Time elapsed: 0.002 s
% 0.44/0.61 % (2525)Instructions burned: 2 (million)
% 0.44/0.61 % (2520)Termination reason: Refutation not found, incomplete strategy
% 0.44/0.61
% 0.44/0.61 % (2520)Memory used [KB]: 963
% 0.44/0.61 % (2520)Time elapsed: 0.003 s
% 0.44/0.61 % (2520)Instructions burned: 2 (million)
% 0.44/0.61 % (2524)Refutation not found, incomplete strategy% (2524)------------------------------
% 0.44/0.61 % (2524)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.61 % (2524)Termination reason: Refutation not found, incomplete strategy
% 0.44/0.61
% 0.44/0.61 % (2524)Memory used [KB]: 953
% 0.44/0.61 % (2524)Time elapsed: 0.003 s
% 0.44/0.61 % (2524)Instructions burned: 2 (million)
% 0.44/0.61 % (2525)------------------------------
% 0.44/0.61 % (2525)------------------------------
% 0.44/0.61 % (2520)------------------------------
% 0.44/0.61 % (2520)------------------------------
% 0.44/0.61 % (2521)First to succeed.
% 0.44/0.61 % (2524)------------------------------
% 0.44/0.61 % (2524)------------------------------
% 0.44/0.61 % (2522)Also succeeded, but the first one will report.
% 0.44/0.61 % (2521)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2519"
% 0.44/0.61 % (2528)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)
% 0.44/0.61 % (2521)Refutation found. Thanks to Tanya!
% 0.44/0.61 % SZS status Theorem for Vampire---4
% 0.44/0.61 % SZS output start Proof for Vampire---4
% See solution above
% 0.44/0.61 % (2521)------------------------------
% 0.44/0.61 % (2521)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.61 % (2521)Termination reason: Refutation
% 0.44/0.61
% 0.44/0.61 % (2521)Memory used [KB]: 987
% 0.44/0.61 % (2521)Time elapsed: 0.004 s
% 0.44/0.61 % (2521)Instructions burned: 3 (million)
% 0.44/0.61 % (2519)Success in time 0.329 s
% 0.44/0.61 % Vampire---4.8 exiting
%------------------------------------------------------------------------------