TSTP Solution File: LCL097-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL097-1 : TPTP v8.2.0. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n012.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 : Tue May 21 00:12:20 EDT 2024

% Result   : Unsatisfiable 0.54s 0.70s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (   9 unt;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   20 (  12   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   41 (  41   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f83,plain,
    $false,
    inference(subsumption_resolution,[],[f78,f10]) ).

fof(f10,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3))),
    inference(resolution,[],[f7,f6]) ).

fof(f6,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4))
      | is_a_theorem(X4) ),
    inference(resolution,[],[f3,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(equivalent(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_3) ).

fof(f7,plain,
    ! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
    inference(resolution,[],[f6,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_2) ).

fof(f78,plain,
    ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e))),
    inference(resolution,[],[f56,f10]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(a,b),c)),X1),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))
      | ~ is_a_theorem(equivalent(equivalent(X0,e),X1)) ),
    inference(resolution,[],[f29,f35]) ).

fof(f35,plain,
    ! [X0] : ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(a,b),c)),equivalent(X0,e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),
    inference(resolution,[],[f18,f4]) ).

fof(f4,axiom,
    ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lg_4) ).

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

fof(f29,plain,
    ! [X2,X3,X0,X1] :
      ( is_a_theorem(equivalent(equivalent(X0,X3),X2))
      | ~ is_a_theorem(equivalent(X3,X1))
      | ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
    inference(resolution,[],[f14,f1]) ).

fof(f14,plain,
    ! [X2,X3,X0,X1] :
      ( is_a_theorem(equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2)))
      | ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
    inference(resolution,[],[f8,f1]) ).

fof(f8,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2)))),
    inference(resolution,[],[f6,f3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : LCL097-1 : TPTP v8.2.0. Released v1.0.0.
% 0.06/0.12  % 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
% 0.13/0.31  % Computer : n012.cluster.edu
% 0.13/0.31  % Model    : x86_64 x86_64
% 0.13/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.31  % Memory   : 8042.1875MB
% 0.13/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.31  % CPULimit   : 300
% 0.13/0.31  % WCLimit    : 300
% 0.13/0.31  % DateTime   : Mon May 20 02:39:08 EDT 2024
% 0.13/0.31  % CPUTime    : 
% 0.13/0.31  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.13/0.31  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/benchmark/theBenchmark.p
% 0.54/0.69  % (12234)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.54/0.69  % (12234)Refutation not found, incomplete strategy% (12234)------------------------------
% 0.54/0.69  % (12234)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.69  % (12234)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.69  
% 0.54/0.69  % (12234)Memory used [KB]: 960
% 0.54/0.69  % (12234)Time elapsed: 0.001 s
% 0.54/0.69  % (12234)Instructions burned: 2 (million)
% 0.54/0.69  % (12234)------------------------------
% 0.54/0.69  % (12234)------------------------------
% 0.54/0.69  % (12227)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 theBenchmark for (2996ds/34Mi)
% 0.54/0.69  % (12229)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.54/0.69  % (12228)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 theBenchmark for (2996ds/51Mi)
% 0.54/0.69  % (12230)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.54/0.69  % (12232)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.54/0.69  % (12231)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 theBenchmark for (2996ds/34Mi)
% 0.54/0.69  % (12233)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 theBenchmark for (2996ds/83Mi)
% 0.54/0.70  % (12232)Refutation not found, incomplete strategy% (12232)------------------------------
% 0.54/0.70  % (12232)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.70  % (12232)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.70  
% 0.54/0.70  % (12232)Memory used [KB]: 960
% 0.54/0.70  % (12232)Time elapsed: 0.002 s
% 0.54/0.70  % (12232)Instructions burned: 2 (million)
% 0.54/0.70  % (12231)Refutation not found, incomplete strategy% (12231)------------------------------
% 0.54/0.70  % (12231)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.70  % (12231)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.70  
% 0.54/0.70  % (12231)Memory used [KB]: 961
% 0.54/0.70  % (12231)Time elapsed: 0.002 s
% 0.54/0.70  % (12231)Instructions burned: 2 (million)
% 0.54/0.70  % (12232)------------------------------
% 0.54/0.70  % (12232)------------------------------
% 0.54/0.70  % (12231)------------------------------
% 0.54/0.70  % (12231)------------------------------
% 0.54/0.70  % (12235)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 theBenchmark for (2996ds/55Mi)
% 0.54/0.70  % (12229)First to succeed.
% 0.54/0.70  % (12236)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 theBenchmark for (2996ds/50Mi)
% 0.54/0.70  % (12229)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12071"
% 0.54/0.70  % (12237)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.54/0.70  % (12229)Refutation found. Thanks to Tanya!
% 0.54/0.70  % SZS status Unsatisfiable for theBenchmark
% 0.54/0.70  % SZS output start Proof for theBenchmark
% See solution above
% 0.54/0.70  % (12229)------------------------------
% 0.54/0.70  % (12229)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.70  % (12229)Termination reason: Refutation
% 0.54/0.70  
% 0.54/0.70  % (12229)Memory used [KB]: 1060
% 0.54/0.70  % (12229)Time elapsed: 0.007 s
% 0.54/0.70  % (12229)Instructions burned: 9 (million)
% 0.54/0.70  % (12071)Success in time 0.379 s
% 0.54/0.70  % Vampire---4.8 exiting
%------------------------------------------------------------------------------