TSTP Solution File: LCL527+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL527+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 : n026.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 03:13:48 EDT 2024
% Result : Theorem 0.60s 0.76s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of formulae : 50 ( 12 unt; 0 def)
% Number of atoms : 127 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 123 ( 46 ~; 44 |; 14 &)
% ( 11 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 12 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 40 ( 34 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f517,plain,
$false,
inference(avatar_sat_refutation,[],[f223,f287,f363,f370,f394,f399,f404,f463,f516]) ).
fof(f516,plain,
( ~ spl2_42
| ~ spl2_41
| ~ spl2_2
| ~ spl2_18
| spl2_39 ),
inference(avatar_split_clause,[],[f513,f387,f285,f221,f396,f401]) ).
fof(f401,plain,
( spl2_42
<=> is_a_theorem(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_42])]) ).
fof(f396,plain,
( spl2_41
<=> is_a_theorem(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_41])]) ).
fof(f221,plain,
( spl2_2
<=> ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f285,plain,
( spl2_18
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_18])]) ).
fof(f387,plain,
( spl2_39
<=> is_a_theorem(and(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_39])]) ).
fof(f513,plain,
( ~ is_a_theorem(sK1)
| ~ is_a_theorem(sK0)
| ~ spl2_2
| ~ spl2_18
| spl2_39 ),
inference(resolution,[],[f499,f389]) ).
fof(f389,plain,
( ~ is_a_theorem(and(sK0,sK1))
| spl2_39 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f499,plain,
( ! [X0,X1] :
( is_a_theorem(and(X0,X1))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) )
| ~ spl2_2
| ~ spl2_18 ),
inference(resolution,[],[f484,f222]) ).
fof(f222,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) )
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f484,plain,
( ! [X0,X1] :
( is_a_theorem(implies(X1,and(X0,X1)))
| ~ is_a_theorem(X0) )
| ~ spl2_2
| ~ spl2_18 ),
inference(resolution,[],[f222,f286]) ).
fof(f286,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f463,plain,
~ spl2_40,
inference(avatar_split_clause,[],[f215,f391]) ).
fof(f391,plain,
( spl2_40
<=> adjunction ),
introduced(avatar_definition,[new_symbols(naming,[spl2_40])]) ).
fof(f215,plain,
~ adjunction,
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
~ adjunction,
inference(flattening,[],[f89]) ).
fof(f89,negated_conjecture,
~ adjunction,
inference(negated_conjecture,[],[f88]) ).
fof(f88,conjecture,
adjunction,
file('/export/starexec/sandbox/tmp/tmp.gpjbP7qcrF/Vampire---4.8_19643',s1_0_adjunction) ).
fof(f404,plain,
( spl2_42
| spl2_40 ),
inference(avatar_split_clause,[],[f196,f391,f401]) ).
fof(f196,plain,
( adjunction
| is_a_theorem(sK0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
( adjunction
| ( ~ is_a_theorem(and(sK0,sK1))
& is_a_theorem(sK1)
& is_a_theorem(sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f150,f157]) ).
fof(f157,plain,
( ? [X0,X1] :
( ~ is_a_theorem(and(X0,X1))
& is_a_theorem(X1)
& is_a_theorem(X0) )
=> ( ~ is_a_theorem(and(sK0,sK1))
& is_a_theorem(sK1)
& is_a_theorem(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
( adjunction
| ? [X0,X1] :
( ~ is_a_theorem(and(X0,X1))
& is_a_theorem(X1)
& is_a_theorem(X0) ) ),
inference(flattening,[],[f149]) ).
fof(f149,plain,
( adjunction
| ? [X0,X1] :
( ~ is_a_theorem(and(X0,X1))
& is_a_theorem(X1)
& is_a_theorem(X0) ) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,plain,
( ! [X0,X1] :
( ( is_a_theorem(X1)
& is_a_theorem(X0) )
=> is_a_theorem(and(X0,X1)) )
=> adjunction ),
inference(unused_predicate_definition_removal,[],[f52]) ).
fof(f52,axiom,
( adjunction
<=> ! [X0,X1] :
( ( is_a_theorem(X1)
& is_a_theorem(X0) )
=> is_a_theorem(and(X0,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.gpjbP7qcrF/Vampire---4.8_19643',adjunction) ).
fof(f399,plain,
( spl2_41
| spl2_40 ),
inference(avatar_split_clause,[],[f197,f391,f396]) ).
fof(f197,plain,
( adjunction
| is_a_theorem(sK1) ),
inference(cnf_transformation,[],[f158]) ).
fof(f394,plain,
( ~ spl2_39
| spl2_40 ),
inference(avatar_split_clause,[],[f198,f391,f387]) ).
fof(f198,plain,
( adjunction
| ~ is_a_theorem(and(sK0,sK1)) ),
inference(cnf_transformation,[],[f158]) ).
fof(f370,plain,
spl2_17,
inference(avatar_split_clause,[],[f187,f281]) ).
fof(f281,plain,
( spl2_17
<=> and_3 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_17])]) ).
fof(f187,plain,
and_3,
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
and_3,
file('/export/starexec/sandbox/tmp/tmp.gpjbP7qcrF/Vampire---4.8_19643',hilbert_and_3) ).
fof(f363,plain,
spl2_1,
inference(avatar_split_clause,[],[f180,f217]) ).
fof(f217,plain,
( spl2_1
<=> modus_ponens ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f180,plain,
modus_ponens,
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
modus_ponens,
file('/export/starexec/sandbox/tmp/tmp.gpjbP7qcrF/Vampire---4.8_19643',hilbert_modus_ponens) ).
fof(f287,plain,
( ~ spl2_17
| spl2_18 ),
inference(avatar_split_clause,[],[f167,f285,f281]) ).
fof(f167,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
| ~ and_3 ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
| ~ and_3 ),
inference(ennf_transformation,[],[f116]) ).
fof(f116,plain,
( and_3
=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
inference(unused_predicate_definition_removal,[],[f9]) ).
fof(f9,axiom,
( and_3
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
file('/export/starexec/sandbox/tmp/tmp.gpjbP7qcrF/Vampire---4.8_19643',and_3) ).
fof(f223,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f159,f221,f217]) ).
fof(f159,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| ~ modus_ponens ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) )
| ~ modus_ponens ),
inference(flattening,[],[f129]) ).
fof(f129,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) )
| ~ modus_ponens ),
inference(ennf_transformation,[],[f124]) ).
fof(f124,plain,
( modus_ponens
=> ! [X0,X1] :
( ( is_a_theorem(implies(X0,X1))
& is_a_theorem(X0) )
=> is_a_theorem(X1) ) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f1,axiom,
( modus_ponens
<=> ! [X0,X1] :
( ( is_a_theorem(implies(X0,X1))
& is_a_theorem(X0) )
=> is_a_theorem(X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.gpjbP7qcrF/Vampire---4.8_19643',modus_ponens) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL527+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.15 % 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
% 0.16/0.36 % Computer : n026.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 17:01:04 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.gpjbP7qcrF/Vampire---4.8_19643
% 0.54/0.75 % (19886)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)
% 0.54/0.75 % (19886)Refutation not found, incomplete strategy% (19886)------------------------------
% 0.54/0.75 % (19886)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75 % (19886)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (19886)Memory used [KB]: 1094
% 0.54/0.75 % (19886)Time elapsed: 0.002 s
% 0.54/0.75 % (19886)Instructions burned: 2 (million)
% 0.54/0.75 % (19886)------------------------------
% 0.54/0.75 % (19886)------------------------------
% 0.54/0.75 % (19883)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)
% 0.54/0.75 % (19881)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)
% 0.60/0.75 % (19884)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)
% 0.60/0.75 % (19885)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)
% 0.60/0.75 % (19882)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.75 % (19880)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)
% 0.60/0.75 % (19882)Refutation not found, incomplete strategy% (19882)------------------------------
% 0.60/0.75 % (19882)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.75 % (19882)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75
% 0.60/0.75 % (19882)Memory used [KB]: 1092
% 0.60/0.75 % (19882)Time elapsed: 0.003 s
% 0.60/0.75 % (19882)Instructions burned: 2 (million)
% 0.60/0.75 % (19882)------------------------------
% 0.60/0.75 % (19882)------------------------------
% 0.60/0.75 % (19883)Refutation not found, incomplete strategy% (19883)------------------------------
% 0.60/0.75 % (19883)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.75 % (19883)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75
% 0.60/0.75 % (19883)Memory used [KB]: 1093
% 0.60/0.75 % (19883)Time elapsed: 0.003 s
% 0.60/0.75 % (19883)Instructions burned: 2 (million)
% 0.60/0.75 % (19883)------------------------------
% 0.60/0.75 % (19883)------------------------------
% 0.60/0.75 % (19880)Refutation not found, incomplete strategy% (19880)------------------------------
% 0.60/0.75 % (19880)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.75 % (19880)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75
% 0.60/0.75 % (19880)Memory used [KB]: 1096
% 0.60/0.75 % (19880)Time elapsed: 0.003 s
% 0.60/0.75 % (19880)Instructions burned: 2 (million)
% 0.60/0.75 % (19880)------------------------------
% 0.60/0.75 % (19880)------------------------------
% 0.60/0.75 % (19884)Refutation not found, incomplete strategy% (19884)------------------------------
% 0.60/0.75 % (19884)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.75 % (19884)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75
% 0.60/0.75 % (19884)Memory used [KB]: 1113
% 0.60/0.75 % (19884)Time elapsed: 0.003 s
% 0.60/0.75 % (19884)Instructions burned: 4 (million)
% 0.60/0.75 % (19884)------------------------------
% 0.60/0.75 % (19884)------------------------------
% 0.60/0.76 % (19888)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)
% 0.60/0.76 % (19887)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)
% 0.60/0.76 % (19885)Refutation not found, incomplete strategy% (19885)------------------------------
% 0.60/0.76 % (19885)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (19885)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (19885)Memory used [KB]: 1092
% 0.60/0.76 % (19885)Time elapsed: 0.004 s
% 0.60/0.76 % (19885)Instructions burned: 2 (million)
% 0.60/0.76 % (19885)------------------------------
% 0.60/0.76 % (19885)------------------------------
% 0.60/0.76 % (19881)First to succeed.
% 0.60/0.76 % (19887)Refutation not found, incomplete strategy% (19887)------------------------------
% 0.60/0.76 % (19887)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (19887)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (19887)Memory used [KB]: 1092
% 0.60/0.76 % (19887)Time elapsed: 0.003 s
% 0.60/0.76 % (19887)Instructions burned: 2 (million)
% 0.60/0.76 % (19887)------------------------------
% 0.60/0.76 % (19887)------------------------------
% 0.60/0.76 % (19889)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 (2996ds/50Mi)
% 0.60/0.76 % (19890)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.60/0.76 % (19891)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.60/0.76 % (19892)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.60/0.76 % (19881)Refutation found. Thanks to Tanya!
% 0.60/0.76 % SZS status Theorem for Vampire---4
% 0.60/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.76 % (19881)------------------------------
% 0.60/0.76 % (19881)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (19881)Termination reason: Refutation
% 0.60/0.76
% 0.60/0.76 % (19881)Memory used [KB]: 1272
% 0.60/0.76 % (19881)Time elapsed: 0.007 s
% 0.60/0.76 % (19881)Instructions burned: 9 (million)
% 0.60/0.76 % (19881)------------------------------
% 0.60/0.76 % (19881)------------------------------
% 0.60/0.76 % (19876)Success in time 0.388 s
% 0.60/0.76 terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.60/0.76 19876 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.gpjbP7qcrF/Vampire---4.8_19643
% 0.60/0.76 % (19876)------------------------------
% 0.60/0.76 % (19876)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (19876)Termination reason: Unknown
% 0.60/0.76 % (19876)Termination phase: Unknown
% 0.60/0.76
% 0.60/0.76 % (19876)Memory used [KB]: 533
% 0.60/0.76 % (19876)Time elapsed: 0.388 s
% 0.60/0.76 % (19876)Instructions burned: 958 (million)
% 0.60/0.76 % (19876)------------------------------
% 0.60/0.76 % (19876)------------------------------
% 0.60/0.76 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 ???
% 0.60/0.76 ???
% 0.60/0.76 ???
% 0.60/0.76 ???
% 0.60/0.76 ???
% 0.60/0.76 ???
% 0.60/0.76 ???
% 0.60/0.76 ???
% 0.60/0.76 ???
% 0.60/0.76 ???
% 0.60/0.76 ???
% 0.60/0.76 ???
% 0.60/0.76 ???
% 0.60/0.76 ???
% 0.60/0.76 ???
% 0.60/0.76 ???
% 0.60/0.76 ???
% 0.60/0.76 ???
% 0.60/0.76 ???
% 0.60/0.76 ???
% 0.60/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------