TSTP Solution File: CAT004-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : CAT004-2 : 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 : 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 04:43:04 EDT 2024

% Result   : Unsatisfiable 0.57s 0.76s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   27 (  18 unt;   0 def)
%            Number of atoms       :   51 (  50 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   51 (  27   ~;  24   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f73,plain,
    $false,
    inference(subsumption_resolution,[],[f72,f36]) ).

fof(f36,plain,
    domain(b) = domain(compose(b,g)),
    inference(unit_resulting_resolution,[],[f32,f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( codomain(X0) != domain(X1)
      | domain(X0) = domain(compose(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.vjlUFamtq8/Vampire---4.8_25714',codomain_domain1) ).

fof(f32,plain,
    codomain(b) = domain(g),
    inference(backward_demodulation,[],[f19,f31]) ).

fof(f31,plain,
    codomain(b) = domain(h),
    inference(backward_demodulation,[],[f11,f26]) ).

fof(f26,plain,
    codomain(b) = codomain(compose(a,b)),
    inference(unit_resulting_resolution,[],[f10,f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( codomain(X0) != domain(X1)
      | codomain(compose(X0,X1)) = codomain(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.vjlUFamtq8/Vampire---4.8_25714',codomain_domain2) ).

fof(f10,axiom,
    codomain(a) = domain(b),
    file('/export/starexec/sandbox/tmp/tmp.vjlUFamtq8/Vampire---4.8_25714',codomain_of_a_equals_domain_of_b) ).

fof(f11,axiom,
    codomain(compose(a,b)) = domain(h),
    file('/export/starexec/sandbox/tmp/tmp.vjlUFamtq8/Vampire---4.8_25714',codomain_of_ab_equals_domain_of_h) ).

fof(f19,plain,
    domain(h) = domain(g),
    inference(forward_demodulation,[],[f12,f11]) ).

fof(f12,axiom,
    codomain(compose(a,b)) = domain(g),
    file('/export/starexec/sandbox/tmp/tmp.vjlUFamtq8/Vampire---4.8_25714',codomain_of_ab_equals_domain_of_g) ).

fof(f72,plain,
    domain(b) != domain(compose(b,g)),
    inference(unit_resulting_resolution,[],[f38,f58,f34,f18]) ).

fof(f18,plain,
    ! [X2,X0] :
      ( X0 = X2
      | domain(X0) != domain(b)
      | domain(X2) != domain(b)
      | compose(a,X0) != compose(a,X2) ),
    inference(forward_demodulation,[],[f17,f10]) ).

fof(f17,plain,
    ! [X2,X0] :
      ( domain(X0) != domain(b)
      | X0 = X2
      | domain(X2) != codomain(a)
      | compose(a,X0) != compose(a,X2) ),
    inference(backward_demodulation,[],[f15,f10]) ).

fof(f15,plain,
    ! [X2,X0] :
      ( X0 = X2
      | domain(X2) != codomain(a)
      | compose(a,X0) != compose(a,X2)
      | domain(X0) != codomain(a) ),
    inference(equality_resolution,[],[f8]) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( X0 = X2
      | compose(a,X2) != X1
      | domain(X2) != codomain(a)
      | compose(a,X0) != X1
      | domain(X0) != codomain(a) ),
    file('/export/starexec/sandbox/tmp/tmp.vjlUFamtq8/Vampire---4.8_25714',epimorphism1) ).

fof(f34,plain,
    domain(b) = domain(compose(b,h)),
    inference(unit_resulting_resolution,[],[f31,f5]) ).

fof(f58,plain,
    compose(a,compose(b,h)) = compose(a,compose(b,g)),
    inference(backward_demodulation,[],[f54,f45]) ).

fof(f45,plain,
    compose(compose(a,b),h) = compose(a,compose(b,h)),
    inference(unit_resulting_resolution,[],[f10,f31,f7]) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( codomain(X1) != domain(X2)
      | compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2)
      | codomain(X0) != domain(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.vjlUFamtq8/Vampire---4.8_25714',star_property) ).

fof(f54,plain,
    compose(compose(a,b),h) = compose(a,compose(b,g)),
    inference(backward_demodulation,[],[f13,f47]) ).

fof(f47,plain,
    compose(compose(a,b),g) = compose(a,compose(b,g)),
    inference(unit_resulting_resolution,[],[f10,f32,f7]) ).

fof(f13,axiom,
    compose(compose(a,b),h) = compose(compose(a,b),g),
    file('/export/starexec/sandbox/tmp/tmp.vjlUFamtq8/Vampire---4.8_25714',ab_h_equals_ab_g) ).

fof(f38,plain,
    compose(b,h) != compose(b,g),
    inference(unit_resulting_resolution,[],[f14,f31,f32,f16]) ).

fof(f16,plain,
    ! [X2,X0] :
      ( domain(X2) != codomain(b)
      | X0 = X2
      | compose(b,X0) != compose(b,X2)
      | domain(X0) != codomain(b) ),
    inference(equality_resolution,[],[f9]) ).

fof(f9,axiom,
    ! [X2,X0,X1] :
      ( X0 = X2
      | compose(b,X2) != X1
      | domain(X2) != codomain(b)
      | compose(b,X0) != X1
      | domain(X0) != codomain(b) ),
    file('/export/starexec/sandbox/tmp/tmp.vjlUFamtq8/Vampire---4.8_25714',epimorphism2) ).

fof(f14,axiom,
    h != g,
    file('/export/starexec/sandbox/tmp/tmp.vjlUFamtq8/Vampire---4.8_25714',prove_h_equals_g) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : CAT004-2 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.15  % 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 18:09:23 EDT 2024
% 0.22/0.36  % CPUTime    : 
% 0.22/0.36  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.22/0.36  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.vjlUFamtq8/Vampire---4.8_25714
% 0.57/0.75  % (26143)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)
% 0.57/0.75  % (26135)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)
% 0.57/0.75  % (26137)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75  % (26136)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)
% 0.57/0.75  % (26138)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)
% 0.57/0.75  % (26140)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)
% 0.57/0.75  % (26139)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)
% 0.57/0.75  % (26142)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)
% 0.57/0.75  % (26143)Refutation not found, incomplete strategy% (26143)------------------------------
% 0.57/0.75  % (26143)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (26143)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (26143)Memory used [KB]: 1059
% 0.57/0.75  % (26143)Time elapsed: 0.002 s
% 0.57/0.75  % (26143)Instructions burned: 4 (million)
% 0.57/0.75  % (26143)------------------------------
% 0.57/0.75  % (26143)------------------------------
% 0.57/0.75  % (26139)Refutation not found, incomplete strategy% (26139)------------------------------
% 0.57/0.75  % (26139)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (26139)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  % (26135)Refutation not found, incomplete strategy% (26135)------------------------------
% 0.57/0.75  % (26135)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (26135)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (26135)Memory used [KB]: 980
% 0.57/0.75  % (26135)Time elapsed: 0.003 s
% 0.57/0.75  % (26135)Instructions burned: 3 (million)
% 0.57/0.75  
% 0.57/0.75  % (26139)Memory used [KB]: 982
% 0.57/0.75  % (26139)Time elapsed: 0.003 s
% 0.57/0.75  % (26139)Instructions burned: 3 (million)
% 0.57/0.75  % (26135)------------------------------
% 0.57/0.75  % (26135)------------------------------
% 0.57/0.75  % (26139)------------------------------
% 0.57/0.75  % (26139)------------------------------
% 0.57/0.76  % (26146)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)
% 0.57/0.76  % (26138)First to succeed.
% 0.57/0.76  % (26138)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25984"
% 0.57/0.76  % (26138)Refutation found. Thanks to Tanya!
% 0.57/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.57/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76  % (26138)------------------------------
% 0.57/0.76  % (26138)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (26138)Termination reason: Refutation
% 0.57/0.76  
% 0.57/0.76  % (26138)Memory used [KB]: 1060
% 0.57/0.76  % (26138)Time elapsed: 0.006 s
% 0.57/0.76  % (26138)Instructions burned: 8 (million)
% 0.57/0.76  % (25984)Success in time 0.387 s
% 0.57/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------