TSTP Solution File: SYN077-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN077-1 : 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 : n018.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 04:33:14 EDT 2024

% Result   : Unsatisfiable 0.58s 0.76s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   26 (   4 unt;   0 def)
%            Number of atoms       :   79 (   3 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  105 (  52   ~;  53   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :   43 (  43   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f69,plain,
    $false,
    inference(resolution,[],[f66,f24]) ).

fof(f24,plain,
    big_f(a,a),
    inference(duplicate_literal_removal,[],[f23]) ).

fof(f23,plain,
    ( big_f(a,a)
    | big_f(a,a) ),
    inference(resolution,[],[f22,f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( big_f(X0,h(X0))
      | big_f(X0,a) ),
    file('/export/starexec/sandbox/tmp/tmp.xU4yvkA8ZR/Vampire---4.8_10345',clause_5) ).

fof(f22,plain,
    ! [X0] :
      ( ~ big_f(a,h(X0))
      | big_f(X0,a) ),
    inference(duplicate_literal_removal,[],[f21]) ).

fof(f21,plain,
    ! [X0] :
      ( big_f(X0,a)
      | ~ big_f(a,h(X0))
      | big_f(X0,a)
      | ~ big_f(a,h(X0)) ),
    inference(resolution,[],[f19,f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( big_f(i(X1,X0),X0)
      | big_f(X1,a)
      | ~ big_f(X0,h(X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.xU4yvkA8ZR/Vampire---4.8_10345',clause_6) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ~ big_f(i(X0,X1),a)
      | big_f(X0,a)
      | ~ big_f(X1,h(X0)) ),
    inference(duplicate_literal_removal,[],[f17]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( big_f(X0,a)
      | ~ big_f(i(X0,X1),a)
      | ~ big_f(X1,h(X0))
      | big_f(X0,a) ),
    inference(resolution,[],[f14,f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( big_f(i(X0,X1),h(X0))
      | ~ big_f(X1,h(X0))
      | big_f(X0,a) ),
    file('/export/starexec/sandbox/tmp/tmp.xU4yvkA8ZR/Vampire---4.8_10345',clause_7) ).

fof(f14,plain,
    ! [X0,X1] :
      ( ~ big_f(X0,h(X1))
      | big_f(X1,a)
      | ~ big_f(X0,a) ),
    inference(duplicate_literal_removal,[],[f13]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( ~ big_f(X0,a)
      | big_f(X1,a)
      | ~ big_f(X0,h(X1))
      | ~ big_f(X0,h(X1))
      | ~ big_f(X0,a) ),
    inference(resolution,[],[f12,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( big_f(g(X0,X1),X1)
      | ~ big_f(X0,X1)
      | ~ big_f(X0,a) ),
    file('/export/starexec/sandbox/tmp/tmp.xU4yvkA8ZR/Vampire---4.8_10345',clause_3) ).

fof(f12,plain,
    ! [X0,X1] :
      ( ~ big_f(g(X0,h(X1)),h(X1))
      | ~ big_f(X0,a)
      | big_f(X1,a)
      | ~ big_f(X0,h(X1)) ),
    inference(duplicate_literal_removal,[],[f11]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( ~ big_f(X0,h(X1))
      | ~ big_f(X0,a)
      | big_f(X1,a)
      | ~ big_f(g(X0,h(X1)),h(X1))
      | ~ big_f(g(X0,h(X1)),h(X1))
      | big_f(X1,a) ),
    inference(resolution,[],[f10,f7]) ).

fof(f10,plain,
    ! [X2,X0,X1] :
      ( ~ big_f(i(X0,g(X1,X2)),X2)
      | ~ big_f(X1,X2)
      | ~ big_f(X1,a)
      | big_f(X0,a)
      | ~ big_f(g(X1,X2),h(X0)) ),
    inference(resolution,[],[f4,f6]) ).

fof(f4,axiom,
    ! [X2,X0,X1] :
      ( ~ big_f(X2,g(X0,X1))
      | ~ big_f(X2,X1)
      | ~ big_f(X0,X1)
      | ~ big_f(X0,a) ),
    file('/export/starexec/sandbox/tmp/tmp.xU4yvkA8ZR/Vampire---4.8_10345',clause_4) ).

fof(f66,plain,
    ~ big_f(a,a),
    inference(resolution,[],[f65,f8]) ).

fof(f8,plain,
    ! [X1] : big_f(X1,f(X1)),
    inference(equality_resolution,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( big_f(X0,f(X1))
      | X0 != X1 ),
    file('/export/starexec/sandbox/tmp/tmp.xU4yvkA8ZR/Vampire---4.8_10345',clause_2) ).

fof(f65,plain,
    ! [X0] :
      ( ~ big_f(X0,f(a))
      | ~ big_f(X0,a) ),
    inference(resolution,[],[f62,f24]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ big_f(X0,X0)
      | ~ big_f(X1,f(X0))
      | ~ big_f(X1,a) ),
    inference(resolution,[],[f33,f8]) ).

fof(f33,plain,
    ! [X2,X0,X1] :
      ( ~ big_f(X2,f(X1))
      | ~ big_f(X2,X1)
      | ~ big_f(X0,f(X1))
      | ~ big_f(X0,a) ),
    inference(duplicate_literal_removal,[],[f30]) ).

fof(f30,plain,
    ! [X2,X0,X1] :
      ( ~ big_f(X2,X1)
      | ~ big_f(X2,f(X1))
      | ~ big_f(X0,f(X1))
      | ~ big_f(X0,a)
      | ~ big_f(X0,f(X1))
      | ~ big_f(X0,a) ),
    inference(superposition,[],[f4,f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( g(X0,f(X1)) = X1
      | ~ big_f(X0,f(X1))
      | ~ big_f(X0,a) ),
    inference(resolution,[],[f1,f3]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ big_f(X0,f(X1))
      | X0 = X1 ),
    file('/export/starexec/sandbox/tmp/tmp.xU4yvkA8ZR/Vampire---4.8_10345',clause_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SYN077-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.15  % 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
% 0.16/0.36  % Computer : n018.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 17:38:13 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.37  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.xU4yvkA8ZR/Vampire---4.8_10345
% 0.58/0.76  % (10600)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)
% 0.58/0.76  % (10602)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.76  % (10603)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)
% 0.58/0.76  % (10601)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)
% 0.58/0.76  % (10604)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)
% 0.58/0.76  % (10605)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)
% 0.58/0.76  % (10606)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)
% 0.58/0.76  % (10607)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)
% 0.58/0.76  % (10605)Refutation not found, incomplete strategy% (10605)------------------------------
% 0.58/0.76  % (10605)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76  % (10604)Refutation not found, incomplete strategy% (10604)------------------------------
% 0.58/0.76  % (10604)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76  % (10604)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (10604)Memory used [KB]: 967
% 0.58/0.76  % (10604)Time elapsed: 0.003 s
% 0.58/0.76  % (10604)Instructions burned: 2 (million)
% 0.58/0.76  % (10604)------------------------------
% 0.58/0.76  % (10604)------------------------------
% 0.58/0.76  % (10600)Refutation not found, incomplete strategy% (10600)------------------------------
% 0.58/0.76  % (10600)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76  % (10605)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (10605)Memory used [KB]: 963
% 0.58/0.76  % (10605)Time elapsed: 0.003 s
% 0.58/0.76  % (10605)Instructions burned: 2 (million)
% 0.58/0.76  % (10605)------------------------------
% 0.58/0.76  % (10605)------------------------------
% 0.58/0.76  % (10600)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (10600)Memory used [KB]: 964
% 0.58/0.76  % (10600)Time elapsed: 0.003 s
% 0.58/0.76  % (10600)Instructions burned: 2 (million)
% 0.58/0.76  % (10600)------------------------------
% 0.58/0.76  % (10600)------------------------------
% 0.58/0.76  % (10601)First to succeed.
% 0.58/0.76  % (10601)Refutation found. Thanks to Tanya!
% 0.58/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.58/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.76  % (10601)------------------------------
% 0.58/0.76  % (10601)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76  % (10601)Termination reason: Refutation
% 0.58/0.76  
% 0.58/0.76  % (10601)Memory used [KB]: 984
% 0.58/0.76  % (10601)Time elapsed: 0.005 s
% 0.58/0.76  % (10601)Instructions burned: 5 (million)
% 0.58/0.76  % (10601)------------------------------
% 0.58/0.76  % (10601)------------------------------
% 0.58/0.76  % (10596)Success in time 0.391 s
% 0.58/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------