TSTP Solution File: SYN353-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN353-1 : TPTP v8.1.2. 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 : n014.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 04:34:06 EDT 2024

% Result   : Unsatisfiable 0.57s 0.80s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   48
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   59 (   4 unt;   0 def)
%            Number of atoms       :  168 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  196 (  87   ~; 109   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-3 aty)
%            Number of variables   :  108 ( 108   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f219,plain,
    $false,
    inference(subsumption_resolution,[],[f218,f200]) ).

fof(f200,plain,
    ! [X2,X0,X1] : f(X1,X2,X0),
    inference(subsumption_resolution,[],[f193,f176]) ).

fof(f176,plain,
    ! [X2,X0,X1] :
      ( f(X0,X1,X2)
      | ~ f(X2,X0,X1) ),
    inference(subsumption_resolution,[],[f168,f118]) ).

fof(f118,plain,
    ! [X2,X0,X1] :
      ( f(X1,X2,X0)
      | f(X0,X1,X2)
      | ~ f(X2,X0,X1) ),
    inference(resolution,[],[f117,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ f(a,a,z(X0,X1,X2))
      | f(X1,X2,X0)
      | f(X2,X0,X1)
      | ~ f(X0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.M73FMAVkCM/Vampire---4.8_7170',clause1) ).

fof(f117,plain,
    ! [X0] : f(a,a,X0),
    inference(subsumption_resolution,[],[f116,f103]) ).

fof(f103,plain,
    ! [X0] :
      ( ~ f(a,z(a,a,X0),a)
      | f(a,a,X0) ),
    inference(subsumption_resolution,[],[f98,f6]) ).

fof(f6,axiom,
    ! [X2,X0,X1] :
      ( ~ f(X0,z(X0,X1,X2),X1)
      | f(X0,X1,X2)
      | ~ f(X1,X2,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.M73FMAVkCM/Vampire---4.8_7170',clause6) ).

fof(f98,plain,
    ! [X0] :
      ( ~ f(a,z(a,a,X0),a)
      | f(a,a,X0)
      | f(a,X0,a) ),
    inference(resolution,[],[f97,f11]) ).

fof(f11,axiom,
    ! [X2,X0,X1] :
      ( ~ f(z(X0,X1,X2),X1,X0)
      | f(X0,X1,X2)
      | f(X1,X2,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.M73FMAVkCM/Vampire---4.8_7170',clause11) ).

fof(f97,plain,
    ! [X0] :
      ( f(X0,a,a)
      | ~ f(a,X0,a) ),
    inference(subsumption_resolution,[],[f96,f4]) ).

fof(f4,axiom,
    ! [X2,X0,X1] :
      ( f(X1,X0,z(X0,X1,X2))
      | f(X2,X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.M73FMAVkCM/Vampire---4.8_7170',clause4) ).

fof(f96,plain,
    ! [X0] :
      ( f(X0,a,a)
      | ~ f(a,X0,a)
      | ~ f(a,a,z(a,a,X0)) ),
    inference(duplicate_literal_removal,[],[f92]) ).

fof(f92,plain,
    ! [X0] :
      ( f(X0,a,a)
      | ~ f(a,X0,a)
      | ~ f(a,a,z(a,a,X0))
      | ~ f(a,X0,a) ),
    inference(resolution,[],[f89,f37]) ).

fof(f37,plain,
    ! [X0] :
      ( f(z(a,a,X0),a,a)
      | ~ f(a,a,z(a,a,X0))
      | ~ f(a,X0,a) ),
    inference(subsumption_resolution,[],[f34,f12]) ).

fof(f12,axiom,
    ! [X2,X0,X1] :
      ( f(z(X0,X1,X2),X1,X0)
      | ~ f(X1,X2,X0)
      | ~ f(X2,X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.M73FMAVkCM/Vampire---4.8_7170',clause12) ).

fof(f34,plain,
    ! [X0] :
      ( f(z(a,a,X0),a,a)
      | ~ f(a,a,z(a,a,X0))
      | f(X0,a,a)
      | ~ f(a,X0,a) ),
    inference(resolution,[],[f32,f7]) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( ~ f(X0,z(X0,X1,X2),X1)
      | f(X2,X0,X1)
      | ~ f(X1,X2,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.M73FMAVkCM/Vampire---4.8_7170',clause7) ).

fof(f32,plain,
    ! [X0] :
      ( f(a,X0,a)
      | f(X0,a,a)
      | ~ f(a,a,X0) ),
    inference(duplicate_literal_removal,[],[f31]) ).

fof(f31,plain,
    ! [X0] :
      ( f(a,X0,a)
      | f(X0,a,a)
      | ~ f(a,a,X0)
      | f(X0,a,a) ),
    inference(resolution,[],[f1,f4]) ).

fof(f89,plain,
    ! [X0] :
      ( ~ f(z(a,a,X0),a,a)
      | f(X0,a,a)
      | ~ f(a,X0,a) ),
    inference(resolution,[],[f87,f7]) ).

fof(f87,plain,
    ! [X0] :
      ( f(a,X0,a)
      | ~ f(X0,a,a) ),
    inference(subsumption_resolution,[],[f86,f8]) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( f(X0,z(X0,X1,X2),X1)
      | f(X1,X2,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.M73FMAVkCM/Vampire---4.8_7170',clause8) ).

fof(f86,plain,
    ! [X0] :
      ( f(a,X0,a)
      | ~ f(X0,a,a)
      | ~ f(a,z(a,a,X0),a) ),
    inference(duplicate_literal_removal,[],[f81]) ).

fof(f81,plain,
    ! [X0] :
      ( f(a,X0,a)
      | ~ f(X0,a,a)
      | ~ f(a,z(a,a,X0),a)
      | ~ f(X0,a,a) ),
    inference(resolution,[],[f79,f52]) ).

fof(f52,plain,
    ! [X0] :
      ( f(z(a,a,X0),a,a)
      | ~ f(a,z(a,a,X0),a)
      | ~ f(X0,a,a) ),
    inference(subsumption_resolution,[],[f49,f12]) ).

fof(f49,plain,
    ! [X0] :
      ( ~ f(a,z(a,a,X0),a)
      | f(z(a,a,X0),a,a)
      | f(a,X0,a)
      | ~ f(X0,a,a) ),
    inference(resolution,[],[f45,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( ~ f(X1,X0,z(X0,X1,X2))
      | f(X1,X2,X0)
      | ~ f(X2,X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.M73FMAVkCM/Vampire---4.8_7170',clause3) ).

fof(f45,plain,
    ! [X0] :
      ( f(a,a,X0)
      | ~ f(a,X0,a)
      | f(X0,a,a) ),
    inference(resolution,[],[f40,f4]) ).

fof(f40,plain,
    ! [X0] :
      ( ~ f(a,a,z(a,a,X0))
      | ~ f(a,X0,a)
      | f(a,a,X0) ),
    inference(subsumption_resolution,[],[f39,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] :
      ( ~ f(X1,X0,z(X0,X1,X2))
      | f(X0,X1,X2)
      | ~ f(X2,X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.M73FMAVkCM/Vampire---4.8_7170',clause2) ).

fof(f39,plain,
    ! [X0] :
      ( ~ f(a,a,z(a,a,X0))
      | ~ f(a,X0,a)
      | f(a,a,X0)
      | f(X0,a,a) ),
    inference(resolution,[],[f37,f10]) ).

fof(f10,axiom,
    ! [X2,X0,X1] :
      ( ~ f(z(X0,X1,X2),X1,X0)
      | f(X0,X1,X2)
      | f(X2,X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.M73FMAVkCM/Vampire---4.8_7170',clause10) ).

fof(f79,plain,
    ! [X0] :
      ( ~ f(z(a,a,X0),a,a)
      | f(a,X0,a)
      | ~ f(X0,a,a) ),
    inference(resolution,[],[f76,f3]) ).

fof(f76,plain,
    ! [X0] :
      ( f(a,a,X0)
      | ~ f(X0,a,a) ),
    inference(subsumption_resolution,[],[f74,f58]) ).

fof(f58,plain,
    ! [X0] :
      ( f(a,a,X0)
      | ~ f(X0,a,a)
      | f(a,X0,a) ),
    inference(resolution,[],[f55,f8]) ).

fof(f55,plain,
    ! [X0] :
      ( ~ f(a,z(a,a,X0),a)
      | ~ f(X0,a,a)
      | f(a,a,X0) ),
    inference(subsumption_resolution,[],[f53,f6]) ).

fof(f53,plain,
    ! [X0] :
      ( ~ f(a,z(a,a,X0),a)
      | ~ f(X0,a,a)
      | f(a,a,X0)
      | f(a,X0,a) ),
    inference(resolution,[],[f52,f11]) ).

fof(f74,plain,
    ! [X0] :
      ( f(a,a,X0)
      | ~ f(a,X0,a)
      | ~ f(X0,a,a) ),
    inference(resolution,[],[f71,f12]) ).

fof(f71,plain,
    ! [X0] :
      ( ~ f(z(a,a,X0),a,a)
      | f(a,a,X0) ),
    inference(subsumption_resolution,[],[f70,f10]) ).

fof(f70,plain,
    ! [X0] :
      ( ~ f(z(a,a,X0),a,a)
      | f(a,a,X0)
      | ~ f(X0,a,a) ),
    inference(duplicate_literal_removal,[],[f66]) ).

fof(f66,plain,
    ! [X0] :
      ( ~ f(z(a,a,X0),a,a)
      | f(a,a,X0)
      | ~ f(X0,a,a)
      | f(a,a,X0) ),
    inference(resolution,[],[f65,f55]) ).

fof(f65,plain,
    ! [X0] :
      ( f(a,z(a,a,X0),a)
      | ~ f(z(a,a,X0),a,a)
      | f(a,a,X0) ),
    inference(subsumption_resolution,[],[f61,f8]) ).

fof(f61,plain,
    ! [X0] :
      ( ~ f(z(a,a,X0),a,a)
      | f(a,z(a,a,X0),a)
      | ~ f(a,X0,a)
      | f(a,a,X0) ),
    inference(resolution,[],[f58,f40]) ).

fof(f116,plain,
    ! [X0] :
      ( f(a,z(a,a,X0),a)
      | f(a,a,X0) ),
    inference(subsumption_resolution,[],[f112,f108]) ).

fof(f108,plain,
    ! [X0] :
      ( f(a,a,X0)
      | f(a,X0,a) ),
    inference(resolution,[],[f103,f8]) ).

fof(f112,plain,
    ! [X0] :
      ( f(a,z(a,a,X0),a)
      | ~ f(a,X0,a)
      | f(a,a,X0) ),
    inference(resolution,[],[f108,f40]) ).

fof(f168,plain,
    ! [X2,X0,X1] :
      ( f(X0,X1,X2)
      | ~ f(X1,X2,X0)
      | ~ f(X2,X0,X1) ),
    inference(resolution,[],[f166,f12]) ).

fof(f166,plain,
    ! [X2,X0,X1] :
      ( ~ f(z(X0,X1,X2),X1,X0)
      | f(X0,X1,X2) ),
    inference(subsumption_resolution,[],[f165,f10]) ).

fof(f165,plain,
    ! [X2,X0,X1] :
      ( ~ f(z(X0,X1,X2),X1,X0)
      | f(X0,X1,X2)
      | ~ f(X2,X0,X1) ),
    inference(duplicate_literal_removal,[],[f161]) ).

fof(f161,plain,
    ! [X2,X0,X1] :
      ( ~ f(z(X0,X1,X2),X1,X0)
      | f(X0,X1,X2)
      | f(X0,X1,X2)
      | ~ f(X2,X0,X1) ),
    inference(resolution,[],[f138,f2]) ).

fof(f138,plain,
    ! [X2,X0,X1] :
      ( f(X0,X1,z(X1,X0,X2))
      | ~ f(z(X1,X0,X2),X0,X1)
      | f(X1,X0,X2) ),
    inference(subsumption_resolution,[],[f125,f11]) ).

fof(f125,plain,
    ! [X2,X0,X1] :
      ( f(X0,X1,z(X1,X0,X2))
      | ~ f(z(X1,X0,X2),X0,X1)
      | f(X1,X0,X2)
      | ~ f(X0,X2,X1) ),
    inference(resolution,[],[f118,f6]) ).

fof(f193,plain,
    ! [X2,X0,X1] :
      ( f(X0,X1,X2)
      | f(X1,X2,X0) ),
    inference(resolution,[],[f181,f8]) ).

fof(f181,plain,
    ! [X2,X0,X1] :
      ( ~ f(X0,z(X0,X1,X2),X1)
      | f(X0,X1,X2) ),
    inference(resolution,[],[f176,f166]) ).

fof(f218,plain,
    ! [X2,X0,X1] : ~ f(X1,X2,X0),
    inference(subsumption_resolution,[],[f217,f200]) ).

fof(f217,plain,
    ! [X2,X0,X1] :
      ( ~ f(X2,X0,X1)
      | ~ f(X1,X2,X0) ),
    inference(subsumption_resolution,[],[f209,f200]) ).

fof(f209,plain,
    ! [X2,X0,X1] :
      ( ~ f(X0,X1,X2)
      | ~ f(X2,X0,X1)
      | ~ f(X1,X2,X0) ),
    inference(resolution,[],[f200,f17]) ).

fof(f17,axiom,
    ! [X2,X0,X1] :
      ( ~ f(z(X0,X1,X2),z(X0,X1,X2),z(X0,X1,X2))
      | ~ f(X2,X0,X1)
      | ~ f(X1,X2,X0)
      | ~ f(X0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.M73FMAVkCM/Vampire---4.8_7170',clause17) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.18  % Problem    : SYN353-1 : TPTP v8.1.2. Released v1.2.0.
% 0.12/0.20  % 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
% 0.16/0.41  % Computer : n014.cluster.edu
% 0.16/0.41  % Model    : x86_64 x86_64
% 0.16/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41  % Memory   : 8042.1875MB
% 0.16/0.41  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.41  % CPULimit   : 300
% 0.16/0.41  % WCLimit    : 300
% 0.16/0.41  % DateTime   : Tue Apr 30 17:18:03 EDT 2024
% 0.16/0.41  % CPUTime    : 
% 0.16/0.41  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.16/0.41  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.M73FMAVkCM/Vampire---4.8_7170
% 0.57/0.79  % (7433)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)
% 0.57/0.79  % (7426)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)
% 0.57/0.79  % (7428)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.79  % (7427)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)
% 0.57/0.79  % (7429)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)
% 0.57/0.79  % (7430)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)
% 0.57/0.79  % (7431)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)
% 0.57/0.79  % (7432)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)
% 0.57/0.80  % (7431)First to succeed.
% 0.57/0.80  % (7430)Also succeeded, but the first one will report.
% 0.57/0.80  % (7431)Refutation found. Thanks to Tanya!
% 0.57/0.80  % SZS status Unsatisfiable for Vampire---4
% 0.57/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.80  % (7431)------------------------------
% 0.60/0.80  % (7431)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (7431)Termination reason: Refutation
% 0.60/0.80  
% 0.60/0.80  % (7431)Memory used [KB]: 982
% 0.60/0.80  % (7431)Time elapsed: 0.007 s
% 0.60/0.80  % (7431)Instructions burned: 11 (million)
% 0.60/0.80  % (7431)------------------------------
% 0.60/0.80  % (7431)------------------------------
% 0.60/0.80  % (7422)Success in time 0.375 s
% 0.60/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------