TSTP Solution File: LCL542+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL542+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 : n017.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 07:36:21 EDT 2024
% Result : Theorem 0.72s 0.89s
% Output : Refutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 17
% Syntax : Number of formulae : 52 ( 15 unt; 0 def)
% Number of atoms : 104 ( 5 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 91 ( 39 ~; 34 |; 0 &)
% ( 11 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 13 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 40 ( 36 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f485,plain,
$false,
inference(avatar_sat_refutation,[],[f273,f370,f387,f428,f444,f454,f461,f464,f484]) ).
fof(f484,plain,
( ~ spl2_14
| ~ spl2_38
| spl2_47
| ~ spl2_52 ),
inference(avatar_contradiction_clause,[],[f483]) ).
fof(f483,plain,
( $false
| ~ spl2_14
| ~ spl2_38
| spl2_47
| ~ spl2_52 ),
inference(resolution,[],[f471,f423]) ).
fof(f423,plain,
( ~ is_a_theorem(strict_implies(and(sK0,sK1),sK0))
| spl2_47 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f421,plain,
( spl2_47
<=> is_a_theorem(strict_implies(and(sK0,sK1),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_47])]) ).
fof(f471,plain,
( ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X0))
| ~ spl2_14
| ~ spl2_38
| ~ spl2_52 ),
inference(resolution,[],[f469,f272]) ).
fof(f272,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f271,plain,
( spl2_14
<=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).
fof(f469,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(strict_implies(X0,X1)) )
| ~ spl2_38
| ~ spl2_52 ),
inference(superposition,[],[f386,f443]) ).
fof(f443,plain,
( ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1))
| ~ spl2_52 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f442,plain,
( spl2_52
<=> ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_52])]) ).
fof(f386,plain,
( ! [X0] :
( is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0) )
| ~ spl2_38 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f385,plain,
( spl2_38
<=> ! [X0] :
( is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_38])]) ).
fof(f464,plain,
~ spl2_48,
inference(avatar_split_clause,[],[f217,f425]) ).
fof(f425,plain,
( spl2_48
<=> axiom_m2 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_48])]) ).
fof(f217,plain,
~ axiom_m2,
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
~ axiom_m2,
inference(flattening,[],[f90]) ).
fof(f90,negated_conjecture,
~ axiom_m2,
inference(negated_conjecture,[],[f89]) ).
fof(f89,conjecture,
axiom_m2,
file('/export/starexec/sandbox/tmp/tmp.eKpOG1SUmo/Vampire---4.8_13460',s1_0_axiom_m2) ).
fof(f461,plain,
spl2_51,
inference(avatar_split_clause,[],[f214,f438]) ).
fof(f438,plain,
( spl2_51
<=> op_strict_implies ),
introduced(avatar_definition,[new_symbols(naming,[spl2_51])]) ).
fof(f214,plain,
op_strict_implies,
inference(cnf_transformation,[],[f86]) ).
fof(f86,axiom,
op_strict_implies,
file('/export/starexec/sandbox/tmp/tmp.eKpOG1SUmo/Vampire---4.8_13460',s1_0_op_strict_implies) ).
fof(f454,plain,
spl2_37,
inference(avatar_split_clause,[],[f207,f381]) ).
fof(f381,plain,
( spl2_37
<=> necessitation ),
introduced(avatar_definition,[new_symbols(naming,[spl2_37])]) ).
fof(f207,plain,
necessitation,
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
necessitation,
file('/export/starexec/sandbox/tmp/tmp.eKpOG1SUmo/Vampire---4.8_13460',km4b_necessitation) ).
fof(f444,plain,
( ~ spl2_51
| spl2_52 ),
inference(avatar_split_clause,[],[f204,f442,f438]) ).
fof(f204,plain,
! [X0,X1] :
( strict_implies(X0,X1) = necessarily(implies(X0,X1))
| ~ op_strict_implies ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
( ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1))
| ~ op_strict_implies ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
( op_strict_implies
=> ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.eKpOG1SUmo/Vampire---4.8_13460',op_strict_implies) ).
fof(f428,plain,
( ~ spl2_47
| spl2_48 ),
inference(avatar_split_clause,[],[f202,f425,f421]) ).
fof(f202,plain,
( axiom_m2
| ~ is_a_theorem(strict_implies(and(sK0,sK1),sK0)) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
( axiom_m2
| ~ is_a_theorem(strict_implies(and(sK0,sK1),sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f155,f159]) ).
fof(f159,plain,
( ? [X0,X1] : ~ is_a_theorem(strict_implies(and(X0,X1),X0))
=> ~ is_a_theorem(strict_implies(and(sK0,sK1),sK0)) ),
introduced(choice_axiom,[]) ).
fof(f155,plain,
( axiom_m2
| ? [X0,X1] : ~ is_a_theorem(strict_implies(and(X0,X1),X0)) ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,plain,
( ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X0))
=> axiom_m2 ),
inference(unused_predicate_definition_removal,[],[f64]) ).
fof(f64,axiom,
( axiom_m2
<=> ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X0)) ),
file('/export/starexec/sandbox/tmp/tmp.eKpOG1SUmo/Vampire---4.8_13460',axiom_m2) ).
fof(f387,plain,
( ~ spl2_37
| spl2_38 ),
inference(avatar_split_clause,[],[f197,f385,f381]) ).
fof(f197,plain,
! [X0] :
( is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0)
| ~ necessitation ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( ! [X0] :
( is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0) )
| ~ necessitation ),
inference(ennf_transformation,[],[f111]) ).
fof(f111,plain,
( necessitation
=> ! [X0] :
( is_a_theorem(X0)
=> is_a_theorem(necessarily(X0)) ) ),
inference(unused_predicate_definition_removal,[],[f50]) ).
fof(f50,axiom,
( necessitation
<=> ! [X0] :
( is_a_theorem(X0)
=> is_a_theorem(necessarily(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.eKpOG1SUmo/Vampire---4.8_13460',necessitation) ).
fof(f370,plain,
spl2_13,
inference(avatar_split_clause,[],[f187,f267]) ).
fof(f267,plain,
( spl2_13
<=> and_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).
fof(f187,plain,
and_1,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
and_1,
file('/export/starexec/sandbox/tmp/tmp.eKpOG1SUmo/Vampire---4.8_13460',hilbert_and_1) ).
fof(f273,plain,
( ~ spl2_13
| spl2_14 ),
inference(avatar_split_clause,[],[f167,f271,f267]) ).
fof(f167,plain,
! [X0,X1] :
( is_a_theorem(implies(and(X0,X1),X0))
| ~ and_1 ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
| ~ and_1 ),
inference(ennf_transformation,[],[f120]) ).
fof(f120,plain,
( and_1
=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f7,axiom,
( and_1
<=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
file('/export/starexec/sandbox/tmp/tmp.eKpOG1SUmo/Vampire---4.8_13460',and_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LCL542+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.15 % 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
% 0.15/0.36 % Computer : n017.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 12:49:06 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 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.eKpOG1SUmo/Vampire---4.8_13460
% 0.72/0.89 % (13761)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 (2994ds/51Mi)
% 0.72/0.89 % (13763)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.72/0.89 % (13760)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 (2994ds/34Mi)
% 0.72/0.89 % (13762)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.72/0.89 % (13766)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 (2994ds/83Mi)
% 0.72/0.89 % (13764)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 (2994ds/34Mi)
% 0.72/0.89 % (13765)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.72/0.89 % (13767)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 (2994ds/56Mi)
% 0.72/0.89 % (13763)Refutation not found, incomplete strategy% (13763)------------------------------
% 0.72/0.89 % (13763)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.89 % (13762)Refutation not found, incomplete strategy% (13762)------------------------------
% 0.72/0.89 % (13762)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.89 % (13762)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.89
% 0.72/0.89 % (13762)Memory used [KB]: 1094
% 0.72/0.89 % (13762)Time elapsed: 0.002 s
% 0.72/0.89 % (13762)Instructions burned: 2 (million)
% 0.72/0.89 % (13763)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.89 % (13760)Refutation not found, incomplete strategy% (13760)------------------------------
% 0.72/0.89 % (13760)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.89 % (13760)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.89
% 0.72/0.89 % (13760)Memory used [KB]: 1094
% 0.72/0.89 % (13760)Time elapsed: 0.003 s
% 0.72/0.89 % (13760)Instructions burned: 2 (million)
% 0.72/0.89
% 0.72/0.89 % (13763)Memory used [KB]: 1094
% 0.72/0.89 % (13763)Time elapsed: 0.002 s
% 0.72/0.89 % (13763)Instructions burned: 2 (million)
% 0.72/0.89 % (13765)Refutation not found, incomplete strategy% (13765)------------------------------
% 0.72/0.89 % (13765)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.89 % (13766)Refutation not found, incomplete strategy% (13766)------------------------------
% 0.72/0.89 % (13766)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.89 % (13766)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.89
% 0.72/0.89 % (13766)Memory used [KB]: 1094
% 0.72/0.89 % (13766)Time elapsed: 0.002 s
% 0.72/0.89 % (13766)Instructions burned: 2 (million)
% 0.72/0.89 % (13762)------------------------------
% 0.72/0.89 % (13762)------------------------------
% 0.72/0.89 % (13760)------------------------------
% 0.72/0.89 % (13760)------------------------------
% 0.72/0.89 % (13765)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.89 % (13763)------------------------------
% 0.72/0.89 % (13763)------------------------------
% 0.72/0.89
% 0.72/0.89 % (13765)Memory used [KB]: 1094
% 0.72/0.89 % (13765)Time elapsed: 0.003 s
% 0.72/0.89 % (13765)Instructions burned: 2 (million)
% 0.72/0.89 % (13767)Refutation not found, incomplete strategy% (13767)------------------------------
% 0.72/0.89 % (13767)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.89 % (13767)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.89
% 0.72/0.89 % (13767)Memory used [KB]: 1094
% 0.72/0.89 % (13766)------------------------------
% 0.72/0.89 % (13766)------------------------------
% 0.72/0.89 % (13767)Time elapsed: 0.002 s
% 0.72/0.89 % (13767)Instructions burned: 2 (million)
% 0.72/0.89 % (13765)------------------------------
% 0.72/0.89 % (13765)------------------------------
% 0.72/0.89 % (13767)------------------------------
% 0.72/0.89 % (13767)------------------------------
% 0.72/0.89 % (13764)Refutation not found, incomplete strategy% (13764)------------------------------
% 0.72/0.89 % (13764)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.89 % (13764)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.89
% 0.72/0.89 % (13764)Memory used [KB]: 1118
% 0.72/0.89 % (13764)Time elapsed: 0.004 s
% 0.72/0.89 % (13764)Instructions burned: 4 (million)
% 0.72/0.89 % (13764)------------------------------
% 0.72/0.89 % (13764)------------------------------
% 0.72/0.89 % (13761)First to succeed.
% 0.72/0.89 % (13761)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13671"
% 0.72/0.89 % (13768)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 (2994ds/55Mi)
% 0.72/0.89 % (13771)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 (2994ds/52Mi)
% 0.72/0.89 % (13769)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 (2994ds/50Mi)
% 0.72/0.89 % (13770)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 (2994ds/208Mi)
% 0.72/0.89 % (13772)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 (2994ds/518Mi)
% 0.72/0.89 % (13761)Refutation found. Thanks to Tanya!
% 0.72/0.89 % SZS status Theorem for Vampire---4
% 0.72/0.89 % SZS output start Proof for Vampire---4
% See solution above
% 0.72/0.89 % (13761)------------------------------
% 0.72/0.89 % (13761)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.89 % (13761)Termination reason: Refutation
% 0.72/0.89
% 0.72/0.89 % (13761)Memory used [KB]: 1263
% 0.72/0.89 % (13761)Time elapsed: 0.006 s
% 0.72/0.89 % (13761)Instructions burned: 8 (million)
% 0.72/0.89 % (13671)Success in time 0.526 s
% 0.72/0.89 % Vampire---4.8 exiting
%------------------------------------------------------------------------------