TSTP Solution File: LCL483+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL483+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n014.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 07:36:03 EDT 2024
% Result : Theorem 0.60s 0.79s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 21
% Syntax : Number of formulae : 63 ( 18 unt; 0 def)
% Number of atoms : 119 ( 16 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 98 ( 42 ~; 37 |; 0 &)
% ( 13 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 18 ( 16 usr; 16 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 56 ( 52 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f488,plain,
$false,
inference(avatar_sat_refutation,[],[f134,f158,f182,f198,f206,f215,f221,f225,f226,f228,f486]) ).
fof(f486,plain,
( spl2_5
| ~ spl2_12
| ~ spl2_18
| ~ spl2_22
| ~ spl2_24 ),
inference(avatar_contradiction_clause,[],[f483]) ).
fof(f483,plain,
( $false
| spl2_5
| ~ spl2_12
| ~ spl2_18
| ~ spl2_22
| ~ spl2_24 ),
inference(resolution,[],[f376,f236]) ).
fof(f236,plain,
( ! [X0,X1] : is_a_theorem(implies(or(X1,not(X0)),implies(X0,X1)))
| ~ spl2_12
| ~ spl2_24 ),
inference(superposition,[],[f157,f205]) ).
fof(f205,plain,
( ! [X0,X1] : implies(X0,X1) = or(not(X0),X1)
| ~ spl2_24 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f204,plain,
( spl2_24
<=> ! [X0,X1] : implies(X0,X1) = or(not(X0),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_24])]) ).
fof(f157,plain,
( ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0)))
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f156,plain,
( spl2_12
<=> ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).
fof(f376,plain,
( ~ is_a_theorem(implies(or(sK1,not(sK0)),implies(sK0,sK1)))
| spl2_5
| ~ spl2_18
| ~ spl2_22 ),
inference(superposition,[],[f129,f334]) ).
fof(f334,plain,
( ! [X0,X1] : or(X0,X1) = implies(not(X0),X1)
| ~ spl2_18
| ~ spl2_22 ),
inference(superposition,[],[f181,f197]) ).
fof(f197,plain,
( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
| ~ spl2_22 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f196,plain,
( spl2_22
<=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_22])]) ).
fof(f181,plain,
( ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f180,plain,
( spl2_18
<=> ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_18])]) ).
fof(f129,plain,
( ~ is_a_theorem(implies(implies(not(sK1),not(sK0)),implies(sK0,sK1)))
| spl2_5 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl2_5
<=> is_a_theorem(implies(implies(not(sK1),not(sK0)),implies(sK0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f228,plain,
~ spl2_6,
inference(avatar_split_clause,[],[f109,f131]) ).
fof(f131,plain,
( spl2_6
<=> modus_tollens ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f109,plain,
~ modus_tollens,
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
~ modus_tollens,
inference(flattening,[],[f46]) ).
fof(f46,negated_conjecture,
~ modus_tollens,
inference(negated_conjecture,[],[f45]) ).
fof(f45,conjecture,
modus_tollens,
file('/export/starexec/sandbox2/tmp/tmp.QLWNJChDNP/Vampire---4.8_12788',hilbert_modus_tollens) ).
fof(f226,plain,
spl2_21,
inference(avatar_split_clause,[],[f107,f192]) ).
fof(f192,plain,
( spl2_21
<=> op_implies_and ),
introduced(avatar_definition,[new_symbols(naming,[spl2_21])]) ).
fof(f107,plain,
op_implies_and,
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
op_implies_and,
file('/export/starexec/sandbox2/tmp/tmp.QLWNJChDNP/Vampire---4.8_12788',hilbert_op_implies_and) ).
fof(f225,plain,
spl2_17,
inference(avatar_split_clause,[],[f106,f176]) ).
fof(f176,plain,
( spl2_17
<=> op_or ),
introduced(avatar_definition,[new_symbols(naming,[spl2_17])]) ).
fof(f106,plain,
op_or,
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
op_or,
file('/export/starexec/sandbox2/tmp/tmp.QLWNJChDNP/Vampire---4.8_12788',hilbert_op_or) ).
fof(f221,plain,
spl2_11,
inference(avatar_split_clause,[],[f102,f152]) ).
fof(f152,plain,
( spl2_11
<=> r3 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).
fof(f102,plain,
r3,
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
r3,
file('/export/starexec/sandbox2/tmp/tmp.QLWNJChDNP/Vampire---4.8_12788',principia_r3) ).
fof(f215,plain,
spl2_23,
inference(avatar_split_clause,[],[f96,f200]) ).
fof(f200,plain,
( spl2_23
<=> op_implies_or ),
introduced(avatar_definition,[new_symbols(naming,[spl2_23])]) ).
fof(f96,plain,
op_implies_or,
inference(cnf_transformation,[],[f32]) ).
fof(f32,axiom,
op_implies_or,
file('/export/starexec/sandbox2/tmp/tmp.QLWNJChDNP/Vampire---4.8_12788',principia_op_implies_or) ).
fof(f206,plain,
( ~ spl2_23
| spl2_24 ),
inference(avatar_split_clause,[],[f94,f204,f200]) ).
fof(f94,plain,
! [X0,X1] :
( implies(X0,X1) = or(not(X0),X1)
| ~ op_implies_or ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
( ! [X0,X1] : implies(X0,X1) = or(not(X0),X1)
| ~ op_implies_or ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
( op_implies_or
=> ! [X0,X1] : implies(X0,X1) = or(not(X0),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.QLWNJChDNP/Vampire---4.8_12788',op_implies_or) ).
fof(f198,plain,
( ~ spl2_21
| spl2_22 ),
inference(avatar_split_clause,[],[f93,f196,f192]) ).
fof(f93,plain,
! [X0,X1] :
( implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
( op_implies_and
=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
file('/export/starexec/sandbox2/tmp/tmp.QLWNJChDNP/Vampire---4.8_12788',op_implies_and) ).
fof(f182,plain,
( ~ spl2_17
| spl2_18 ),
inference(avatar_split_clause,[],[f91,f180,f176]) ).
fof(f91,plain,
! [X0,X1] :
( or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
( op_or
=> ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
file('/export/starexec/sandbox2/tmp/tmp.QLWNJChDNP/Vampire---4.8_12788',op_or) ).
fof(f158,plain,
( ~ spl2_11
| spl2_12 ),
inference(avatar_split_clause,[],[f88,f156,f152]) ).
fof(f88,plain,
! [X0,X1] :
( is_a_theorem(implies(or(X0,X1),or(X1,X0)))
| ~ r3 ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
( ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0)))
| ~ r3 ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
( r3
=> ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
inference(unused_predicate_definition_removal,[],[f55]) ).
fof(f55,plain,
( r3
<=> ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
( r3
<=> ! [X3,X4] : is_a_theorem(implies(or(X3,X4),or(X4,X3))) ),
file('/export/starexec/sandbox2/tmp/tmp.QLWNJChDNP/Vampire---4.8_12788',r3) ).
fof(f134,plain,
( ~ spl2_5
| spl2_6 ),
inference(avatar_split_clause,[],[f85,f131,f127]) ).
fof(f85,plain,
( modus_tollens
| ~ is_a_theorem(implies(implies(not(sK1),not(sK0)),implies(sK0,sK1))) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( modus_tollens
| ~ is_a_theorem(implies(implies(not(sK1),not(sK0)),implies(sK0,sK1))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f70,f81]) ).
fof(f81,plain,
( ? [X0,X1] : ~ is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1)))
=> ~ is_a_theorem(implies(implies(not(sK1),not(sK0)),implies(sK0,sK1))) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
( modus_tollens
| ? [X0,X1] : ~ is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1)))
=> modus_tollens ),
inference(unused_predicate_definition_removal,[],[f3]) ).
fof(f3,axiom,
( modus_tollens
<=> ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) ),
file('/export/starexec/sandbox2/tmp/tmp.QLWNJChDNP/Vampire---4.8_12788',modus_tollens) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL483+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.15 % 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
% 0.13/0.36 % Computer : n014.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Fri May 3 13:18:01 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.37 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.QLWNJChDNP/Vampire---4.8_12788
% 0.60/0.78 % (12897)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)
% 0.60/0.78 % (12899)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.78 % (12903)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)
% 0.60/0.78 % (12900)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)
% 0.60/0.78 % (12898)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)
% 0.60/0.78 % (12901)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)
% 0.60/0.78 % (12897)Refutation not found, incomplete strategy% (12897)------------------------------
% 0.60/0.78 % (12897)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (12897)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (12897)Memory used [KB]: 985
% 0.60/0.78 % (12897)Time elapsed: 0.001 s
% 0.60/0.78 % (12897)Instructions burned: 2 (million)
% 0.60/0.78 % (12897)------------------------------
% 0.60/0.78 % (12897)------------------------------
% 0.60/0.78 % (12903)Refutation not found, incomplete strategy% (12903)------------------------------
% 0.60/0.78 % (12903)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (12900)Refutation not found, incomplete strategy% (12900)------------------------------
% 0.60/0.78 % (12900)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (12900)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (12900)Memory used [KB]: 985
% 0.60/0.78 % (12900)Time elapsed: 0.002 s
% 0.60/0.78 % (12900)Instructions burned: 2 (million)
% 0.60/0.78 % (12903)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (12903)Memory used [KB]: 985
% 0.60/0.78 % (12903)Time elapsed: 0.002 s
% 0.60/0.78 % (12903)Instructions burned: 2 (million)
% 0.60/0.78 % (12902)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)
% 0.60/0.78 % (12900)------------------------------
% 0.60/0.78 % (12900)------------------------------
% 0.60/0.78 % (12903)------------------------------
% 0.60/0.78 % (12903)------------------------------
% 0.60/0.78 % (12902)Refutation not found, incomplete strategy% (12902)------------------------------
% 0.60/0.78 % (12902)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (12902)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (12902)Memory used [KB]: 985
% 0.60/0.78 % (12902)Time elapsed: 0.002 s
% 0.60/0.78 % (12902)Instructions burned: 2 (million)
% 0.60/0.78 % (12901)Refutation not found, incomplete strategy% (12901)------------------------------
% 0.60/0.78 % (12901)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (12901)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (12901)Memory used [KB]: 1069
% 0.60/0.78 % (12901)Time elapsed: 0.003 s
% 0.60/0.78 % (12901)Instructions burned: 3 (million)
% 0.60/0.78 % (12902)------------------------------
% 0.60/0.78 % (12902)------------------------------
% 0.60/0.78 % (12901)------------------------------
% 0.60/0.78 % (12901)------------------------------
% 0.60/0.78 % (12904)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)
% 0.60/0.78 % (12905)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 % (12904)Refutation not found, incomplete strategy% (12904)------------------------------
% 0.60/0.79 % (12904)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (12904)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79
% 0.60/0.79 % (12904)Memory used [KB]: 985
% 0.60/0.79 % (12904)Time elapsed: 0.004 s
% 0.60/0.79 % (12904)Instructions burned: 2 (million)
% 0.60/0.79 % (12906)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 % (12904)------------------------------
% 0.60/0.79 % (12904)------------------------------
% 0.60/0.79 % (12908)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 (2995ds/52Mi)
% 0.60/0.79 % (12909)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 (2995ds/518Mi)
% 0.60/0.79 % (12909)Refutation not found, incomplete strategy% (12909)------------------------------
% 0.60/0.79 % (12909)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (12909)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79
% 0.60/0.79 % (12909)Memory used [KB]: 986
% 0.60/0.79 % (12909)Time elapsed: 0.002 s
% 0.60/0.79 % (12909)Instructions burned: 2 (million)
% 0.60/0.79 % (12909)------------------------------
% 0.60/0.79 % (12909)------------------------------
% 0.60/0.79 % (12898)First to succeed.
% 0.60/0.79 % (12898)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12896"
% 0.60/0.79 % (12911)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.60/0.79 % (12898)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 % (12898)------------------------------
% 0.60/0.79 % (12898)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (12898)Termination reason: Refutation
% 0.60/0.79
% 0.60/0.79 % (12898)Memory used [KB]: 1247
% 0.60/0.79 % (12898)Time elapsed: 0.010 s
% 0.60/0.79 % (12898)Instructions burned: 14 (million)
% 0.60/0.79 % (12896)Success in time 0.416 s
% 0.60/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------