TSTP Solution File: COL074-3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : COL074-3 : TPTP v8.2.0. Released v1.2.0.
% 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 : n029.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 : Mon May 20 19:05:29 EDT 2024

% Result   : Unsatisfiable 0.71s 0.90s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   30 (  12 unt;   0 def)
%            Number of atoms       :   48 (  26 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   34 (  16   ~;  16   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   3 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f51,plain,
    $false,
    inference(avatar_sat_refutation,[],[f35,f40,f50]) ).

fof(f50,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f49]) ).

fof(f49,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f48,f10]) ).

fof(f10,axiom,
    projection1 != projection2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',different_projections) ).

fof(f48,plain,
    ( projection1 = projection2
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f46,f15]) ).

fof(f15,plain,
    ! [X0] : projection1 = apply(k_projection1,X0),
    inference(superposition,[],[f1,f11]) ).

fof(f11,axiom,
    apply(k,projection1) = k_projection1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_projection1) ).

fof(f1,axiom,
    ! [X0,X1] : apply(apply(k,X0),X1) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_definition) ).

fof(f46,plain,
    ( ! [X0] : projection2 = apply(k_projection1,X0)
    | ~ spl0_1 ),
    inference(backward_demodulation,[],[f16,f45]) ).

fof(f45,plain,
    ( k_projection1 = k_projection2
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f43,f11]) ).

fof(f43,plain,
    ( apply(k,projection1) = k_projection2
    | ~ spl0_1 ),
    inference(backward_demodulation,[],[f29,f42]) ).

fof(f42,plain,
    ( projection1 = s
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f41,f7]) ).

fof(f7,axiom,
    ! [X0] : projection1 = apply(eq,pair(X0,X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',equality) ).

fof(f41,plain,
    ( s = apply(eq,pair(k_projection2,k_projection2))
    | ~ spl0_1 ),
    inference(backward_demodulation,[],[f14,f29]) ).

fof(f14,plain,
    s = apply(eq,pair(apply(k,s),k_projection2)),
    inference(forward_demodulation,[],[f13,f12]) ).

fof(f12,axiom,
    apply(k,projection2) = k_projection2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_projection2) ).

fof(f13,axiom,
    s = apply(eq,pair(apply(k,s),apply(k,projection2))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',self_referential) ).

fof(f29,plain,
    ( k_projection2 = apply(k,s)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f27]) ).

fof(f27,plain,
    ( spl0_1
  <=> k_projection2 = apply(k,s) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f16,plain,
    ! [X0] : projection2 = apply(k_projection2,X0),
    inference(superposition,[],[f1,f12]) ).

fof(f40,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f39]) ).

fof(f39,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f38,f10]) ).

fof(f38,plain,
    ( projection1 = projection2
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f37,f7]) ).

fof(f37,plain,
    ( projection2 = apply(eq,pair(k_projection2,k_projection2))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f36,f12]) ).

fof(f36,plain,
    ( projection2 = apply(eq,pair(apply(k,projection2),k_projection2))
    | ~ spl0_2 ),
    inference(backward_demodulation,[],[f14,f33]) ).

fof(f33,plain,
    ( projection2 = s
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f31,plain,
    ( spl0_2
  <=> projection2 = s ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f35,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f25,f31,f27]) ).

fof(f25,plain,
    ( projection2 = s
    | k_projection2 = apply(k,s) ),
    inference(superposition,[],[f14,f8]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( projection2 = apply(eq,pair(X0,X1))
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : COL074-3 : TPTP v8.2.0. Released v1.2.0.
% 0.04/0.14  % 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
% 0.15/0.35  % Computer : n029.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sat May 18 13:02:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_PEQ_NUE 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/benchmark/theBenchmark.p
% 0.71/0.89  % (551)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 (2994ds/34Mi)
% 0.71/0.89  % (553)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.71/0.89  % (552)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 (2994ds/51Mi)
% 0.71/0.89  % (554)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.71/0.89  % (556)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.71/0.89  % (555)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 (2994ds/34Mi)
% 0.71/0.89  % (557)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 (2994ds/83Mi)
% 0.71/0.89  % (558)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 (2994ds/56Mi)
% 0.71/0.89  % (554)Refutation not found, incomplete strategy% (554)------------------------------
% 0.71/0.89  % (554)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.89  % (554)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.89  
% 0.71/0.89  % (554)Memory used [KB]: 949
% 0.71/0.89  % (554)Time elapsed: 0.002 s
% 0.71/0.89  % (551)Refutation not found, incomplete strategy% (551)------------------------------
% 0.71/0.89  % (551)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.89  % (551)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.89  
% 0.71/0.89  % (551)Memory used [KB]: 966
% 0.71/0.89  % (551)Time elapsed: 0.003 s
% 0.71/0.89  % (551)Instructions burned: 2 (million)
% 0.71/0.89  % (554)Instructions burned: 2 (million)
% 0.71/0.89  % (555)Refutation not found, incomplete strategy% (555)------------------------------
% 0.71/0.89  % (555)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.89  % (555)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.89  
% 0.71/0.89  % (555)Memory used [KB]: 968
% 0.71/0.89  % (558)Refutation not found, incomplete strategy% (558)------------------------------
% 0.71/0.89  % (558)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.89  % (558)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.89  
% 0.71/0.89  % (558)Memory used [KB]: 948
% 0.71/0.89  % (558)Time elapsed: 0.002 s
% 0.71/0.89  % (558)Instructions burned: 2 (million)
% 0.71/0.89  % (555)Time elapsed: 0.003 s
% 0.71/0.89  % (555)Instructions burned: 2 (million)
% 0.71/0.89  % (551)------------------------------
% 0.71/0.89  % (551)------------------------------
% 0.71/0.89  % (554)------------------------------
% 0.71/0.89  % (554)------------------------------
% 0.71/0.89  % (558)------------------------------
% 0.71/0.89  % (558)------------------------------
% 0.71/0.89  % (555)------------------------------
% 0.71/0.89  % (555)------------------------------
% 0.71/0.89  % (559)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 (2994ds/55Mi)
% 0.71/0.89  % (561)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 (2994ds/208Mi)
% 0.71/0.89  % (560)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 (2994ds/50Mi)
% 0.71/0.89  % (562)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 theBenchmark for (2994ds/52Mi)
% 0.71/0.90  % (560)Refutation not found, incomplete strategy% (560)------------------------------
% 0.71/0.90  % (560)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.90  % (560)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.90  
% 0.71/0.90  % (560)Memory used [KB]: 952
% 0.71/0.90  % (560)Time elapsed: 0.002 s
% 0.71/0.90  % (560)Instructions burned: 2 (million)
% 0.71/0.90  % (560)------------------------------
% 0.71/0.90  % (560)------------------------------
% 0.71/0.90  % (559)First to succeed.
% 0.71/0.90  % (559)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-549"
% 0.71/0.90  % (553)Also succeeded, but the first one will report.
% 0.71/0.90  % (559)Refutation found. Thanks to Tanya!
% 0.71/0.90  % SZS status Unsatisfiable for theBenchmark
% 0.71/0.90  % SZS output start Proof for theBenchmark
% See solution above
% 0.71/0.90  % (559)------------------------------
% 0.71/0.90  % (559)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.90  % (559)Termination reason: Refutation
% 0.71/0.90  
% 0.71/0.90  % (559)Memory used [KB]: 994
% 0.71/0.90  % (559)Time elapsed: 0.004 s
% 0.71/0.90  % (559)Instructions burned: 5 (million)
% 0.71/0.90  % (549)Success in time 0.532 s
% 0.71/0.90  % Vampire---4.8 exiting
%------------------------------------------------------------------------------