TSTP Solution File: LCL118-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL118-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n027.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 03:10:57 EDT 2024

% Result   : Unsatisfiable 0.60s 0.79s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   20 (  10 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   29 (  17   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   57 (  57   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f201,plain,
    $false,
    inference(subsumption_resolution,[],[f193,f5]) ).

fof(f5,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X1,equivalent(X0,X2))))),
    inference(resolution,[],[f4,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,equivalent(X1,X0)))),
    file('/export/starexec/sandbox/tmp/tmp.HNAuoSqcCO/Vampire---4.8_30599',wo) ).

fof(f4,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
      | is_a_theorem(equivalent(X2,equivalent(X1,X0))) ),
    inference(resolution,[],[f2,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(equivalent(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.HNAuoSqcCO/Vampire---4.8_30599',condensed_detachment) ).

fof(f193,plain,
    ~ is_a_theorem(equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b))))),
    inference(resolution,[],[f144,f19]) ).

fof(f19,plain,
    ! [X2,X3,X0,X1] :
      ( is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X3,equivalent(X2,X1)))))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f12,f4]) ).

fof(f12,plain,
    ! [X2,X3,X0,X1] :
      ( is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(equivalent(X3,equivalent(X2,X1)),X0)))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f8,f1]) ).

fof(f8,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(equivalent(X3,equivalent(X2,X1)),X0)))),
    inference(resolution,[],[f7,f2]) ).

fof(f7,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(equivalent(X0,X1))
      | is_a_theorem(equivalent(X2,equivalent(X1,equivalent(X0,X2)))) ),
    inference(resolution,[],[f5,f1]) ).

fof(f144,plain,
    ! [X0] : ~ is_a_theorem(equivalent(equivalent(equivalent(c,a),X0),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),X0))),
    inference(resolution,[],[f124,f2]) ).

fof(f124,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(equivalent(equivalent(X0,X2),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a)))))
      | ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1))) ),
    inference(resolution,[],[f70,f24]) ).

fof(f24,plain,
    ! [X2,X3,X0,X1] :
      ( is_a_theorem(equivalent(equivalent(X3,equivalent(X1,equivalent(X0,X3))),X2))
      | ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
    inference(resolution,[],[f13,f1]) ).

fof(f13,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,equivalent(X1,equivalent(X0,X3))),X2))),
    inference(resolution,[],[f9,f4]) ).

fof(f9,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,equivalent(X3,X1))),equivalent(equivalent(X3,X2),X0)))),
    inference(resolution,[],[f7,f5]) ).

fof(f70,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(equivalent(equivalent(X2,equivalent(X1,X0)),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a)))))
      | ~ is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
    inference(resolution,[],[f35,f3]) ).

fof(f3,axiom,
    ~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a)))),
    file('/export/starexec/sandbox/tmp/tmp.HNAuoSqcCO/Vampire---4.8_30599',prove_yqm) ).

fof(f35,plain,
    ! [X2,X3,X0,X1] :
      ( is_a_theorem(X3)
      | ~ is_a_theorem(equivalent(X2,equivalent(X1,X0)))
      | ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X3)) ),
    inference(resolution,[],[f18,f1]) ).

fof(f18,plain,
    ! [X2,X3,X0,X1] :
      ( is_a_theorem(equivalent(equivalent(X2,equivalent(X1,X0)),X3))
      | ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X3)) ),
    inference(resolution,[],[f10,f1]) ).

fof(f10,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X3),equivalent(equivalent(X2,equivalent(X1,X0)),X3))),
    inference(resolution,[],[f8,f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : LCL118-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14  % 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
% 0.14/0.35  % Computer : n027.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 17:07:32 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_NEQ_HRN 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.HNAuoSqcCO/Vampire---4.8_30599
% 0.55/0.75  % (30860)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  % (30861)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  % (30854)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  % (30856)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  % (30855)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  % (30857)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  % (30859)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  % (30858)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  % (30861)Refutation not found, incomplete strategy% (30861)------------------------------
% 0.55/0.75  % (30861)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (30861)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (30861)Memory used [KB]: 958
% 0.55/0.75  % (30861)Time elapsed: 0.002 s
% 0.55/0.75  % (30861)Instructions burned: 2 (million)
% 0.55/0.75  % (30861)------------------------------
% 0.55/0.75  % (30861)------------------------------
% 0.55/0.75  % (30859)Refutation not found, incomplete strategy% (30859)------------------------------
% 0.55/0.75  % (30859)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (30858)Refutation not found, incomplete strategy% (30858)------------------------------
% 0.55/0.75  % (30858)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (30858)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (30858)Memory used [KB]: 960
% 0.55/0.75  % (30858)Time elapsed: 0.002 s
% 0.55/0.75  % (30858)Instructions burned: 2 (million)
% 0.55/0.75  % (30858)------------------------------
% 0.55/0.75  % (30858)------------------------------
% 0.55/0.75  % (30859)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (30859)Memory used [KB]: 958
% 0.55/0.75  % (30859)Time elapsed: 0.002 s
% 0.55/0.75  % (30859)Instructions burned: 2 (million)
% 0.55/0.75  % (30859)------------------------------
% 0.55/0.75  % (30859)------------------------------
% 0.55/0.76  % (30862)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)
% 0.55/0.76  % (30864)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)
% 0.55/0.76  % (30863)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)
% 0.60/0.77  % (30854)Instruction limit reached!
% 0.60/0.77  % (30854)------------------------------
% 0.60/0.77  % (30854)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77  % (30854)Termination reason: Unknown
% 0.60/0.77  % (30854)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (30854)Memory used [KB]: 1198
% 0.60/0.77  % (30854)Time elapsed: 0.020 s
% 0.60/0.77  % (30854)Instructions burned: 35 (million)
% 0.60/0.77  % (30854)------------------------------
% 0.60/0.77  % (30854)------------------------------
% 0.60/0.77  % (30857)Instruction limit reached!
% 0.60/0.77  % (30857)------------------------------
% 0.60/0.77  % (30857)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77  % (30857)Termination reason: Unknown
% 0.60/0.77  % (30857)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (30857)Memory used [KB]: 1306
% 0.60/0.77  % (30857)Time elapsed: 0.020 s
% 0.60/0.77  % (30857)Instructions burned: 34 (million)
% 0.60/0.77  % (30857)------------------------------
% 0.60/0.77  % (30857)------------------------------
% 0.60/0.77  % (30865)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)
% 0.60/0.78  % (30866)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)
% 0.60/0.78  % (30860)Instruction limit reached!
% 0.60/0.78  % (30860)------------------------------
% 0.60/0.78  % (30860)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78  % (30860)Termination reason: Unknown
% 0.60/0.78  % (30860)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (30860)Memory used [KB]: 2065
% 0.60/0.78  % (30860)Time elapsed: 0.025 s
% 0.60/0.78  % (30860)Instructions burned: 84 (million)
% 0.60/0.78  % (30860)------------------------------
% 0.60/0.78  % (30860)------------------------------
% 0.60/0.78  % (30866)Refutation not found, incomplete strategy% (30866)------------------------------
% 0.60/0.78  % (30866)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78  % (30866)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (30866)Memory used [KB]: 959
% 0.60/0.78  % (30866)Time elapsed: 0.002 s
% 0.60/0.78  % (30866)Instructions burned: 2 (million)
% 0.60/0.78  % (30866)------------------------------
% 0.60/0.78  % (30866)------------------------------
% 0.60/0.78  % (30867)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.60/0.78  % (30867)Refutation not found, incomplete strategy% (30867)------------------------------
% 0.60/0.78  % (30867)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78  % (30867)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (30867)Memory used [KB]: 958
% 0.60/0.78  % (30867)Time elapsed: 0.001 s
% 0.60/0.78  % (30867)Instructions burned: 2 (million)
% 0.60/0.78  % (30867)------------------------------
% 0.60/0.78  % (30867)------------------------------
% 0.60/0.78  % (30868)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)
% 0.60/0.78  % (30869)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.60/0.78  % (30855)Instruction limit reached!
% 0.60/0.78  % (30855)------------------------------
% 0.60/0.78  % (30855)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78  % (30855)Termination reason: Unknown
% 0.60/0.78  % (30855)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (30855)Memory used [KB]: 1425
% 0.60/0.78  % (30855)Time elapsed: 0.032 s
% 0.60/0.78  % (30855)Instructions burned: 51 (million)
% 0.60/0.78  % (30855)------------------------------
% 0.60/0.78  % (30855)------------------------------
% 0.60/0.78  % (30863)Instruction limit reached!
% 0.60/0.78  % (30863)------------------------------
% 0.60/0.78  % (30863)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78  % (30863)Termination reason: Unknown
% 0.60/0.78  % (30863)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (30863)Memory used [KB]: 1670
% 0.60/0.78  % (30863)Time elapsed: 0.027 s
% 0.60/0.78  % (30863)Instructions burned: 50 (million)
% 0.60/0.78  % (30863)------------------------------
% 0.60/0.78  % (30863)------------------------------
% 0.60/0.78  % (30865)First to succeed.
% 0.60/0.78  % (30862)Also succeeded, but the first one will report.
% 0.60/0.79  % (30865)Refutation found. Thanks to Tanya!
% 0.60/0.79  % SZS status Unsatisfiable for Vampire---4
% 0.60/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.79  % (30865)------------------------------
% 0.60/0.79  % (30865)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (30865)Termination reason: Refutation
% 0.60/0.79  
% 0.60/0.79  % (30865)Memory used [KB]: 1084
% 0.60/0.79  % (30865)Time elapsed: 0.012 s
% 0.60/0.79  % (30865)Instructions burned: 16 (million)
% 0.60/0.79  % (30865)------------------------------
% 0.60/0.79  % (30865)------------------------------
% 0.60/0.79  % (30850)Success in time 0.413 s
% 0.60/0.79  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.60/0.79  30850 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.HNAuoSqcCO/Vampire---4.8_30599
% 0.60/0.79  % (30850)------------------------------
% 0.60/0.79  % (30850)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (30850)Termination reason: Unknown
% 0.60/0.79  % (30850)Termination phase: Unknown
% 0.60/0.79  
% 0.60/0.79  % (30850)Memory used [KB]: 438
% 0.60/0.79  % (30850)Time elapsed: 0.413 s
% 0.60/0.79  % (30850)Instructions burned: 952 (million)
% 0.60/0.79  % (30850)------------------------------
% 0.60/0.79  % (30850)------------------------------
% 0.60/0.79  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  ???
% 0.60/0.79   ???
% 0.60/0.79    ???
% 0.60/0.79     ???
% 0.60/0.79      ???
% 0.60/0.79       ???
% 0.60/0.79        ???
% 0.60/0.79         ???
% 0.60/0.79          ???
% 0.60/0.79           ???
% 0.60/0.79            ???
% 0.60/0.79             ???
% 0.60/0.79              ???
% 0.60/0.79               ???
% 0.60/0.79                ???
% 0.60/0.79                 ???
% 0.60/0.79                  ???
% 0.60/0.79                   ???
% 0.60/0.79                    ???
% 0.60/0.79                     ???
% 0.60/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------