TSTP Solution File: COL004-3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : COL004-3 : 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/sandbox2/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 : Sun May  5 04:44:34 EDT 2024

% Result   : Unsatisfiable 0.57s 0.75s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (  11 unt;   0 def)
%            Number of atoms       :   11 (  10 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    7 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f21,plain,
    $false,
    inference(trivial_inequality_removal,[],[f20]) ).

fof(f20,plain,
    apply(y,apply(apply(x,x),y)) != apply(y,apply(apply(x,x),y)),
    inference(forward_demodulation,[],[f19,f11]) ).

fof(f11,plain,
    ! [X0,X1] : apply(apply(apply(s,k),X1),X0) = X0,
    inference(superposition,[],[f1,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : apply(apply(k,X0),X1) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.wWtDMy9oUm/Vampire---4.8_13028',k_definition) ).

fof(f1,axiom,
    ! [X2,X0,X1] : apply(apply(apply(s,X0),X1),X2) = apply(apply(X0,X2),apply(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.wWtDMy9oUm/Vampire---4.8_13028',s_definition) ).

fof(f19,plain,
    apply(y,apply(apply(x,x),y)) != apply(apply(apply(apply(s,k),k),y),apply(apply(x,x),y)),
    inference(superposition,[],[f17,f1]) ).

fof(f17,plain,
    apply(y,apply(apply(x,x),y)) != apply(apply(apply(s,apply(apply(s,k),k)),apply(x,x)),y),
    inference(forward_demodulation,[],[f15,f11]) ).

fof(f15,plain,
    apply(y,apply(apply(x,x),y)) != apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(apply(apply(s,k),k),x),apply(apply(apply(s,k),k),x))),y),
    inference(superposition,[],[f14,f1]) ).

fof(f14,plain,
    apply(y,apply(apply(x,x),y)) != apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)),x)),y),
    inference(forward_demodulation,[],[f12,f2]) ).

fof(f12,plain,
    apply(y,apply(apply(x,x),y)) != apply(apply(apply(apply(k,apply(s,apply(apply(s,k),k))),x),apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)),x)),y),
    inference(superposition,[],[f3,f1]) ).

fof(f3,axiom,
    apply(apply(apply(apply(s,apply(k,apply(s,apply(apply(s,k),k)))),apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k))),x),y) != apply(y,apply(apply(x,x),y)),
    file('/export/starexec/sandbox2/tmp/tmp.wWtDMy9oUm/Vampire---4.8_13028',prove_u_combinator) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : COL004-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15  % 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
% 0.15/0.36  % Computer : n018.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 18:31:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.36  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/tmp/tmp.wWtDMy9oUm/Vampire---4.8_13028
% 0.57/0.75  % (13445)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  % (13447)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  % (13446)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  % (13450)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  % (13449)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  % (13451)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  % (13448)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  % (13449)Refutation not found, incomplete strategy% (13449)------------------------------
% 0.57/0.75  % (13449)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (13449)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (13449)Memory used [KB]: 962
% 0.57/0.75  % (13449)Time elapsed: 0.002 s
% 0.57/0.75  % (13445)Refutation not found, incomplete strategy% (13445)------------------------------
% 0.57/0.75  % (13445)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (13449)Instructions burned: 2 (million)
% 0.57/0.75  % (13445)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (13445)Memory used [KB]: 963
% 0.57/0.75  % (13445)Time elapsed: 0.002 s
% 0.57/0.75  % (13445)Instructions burned: 2 (million)
% 0.57/0.75  % (13450)Refutation not found, incomplete strategy% (13450)------------------------------
% 0.57/0.75  % (13450)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (13450)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (13450)Memory used [KB]: 950
% 0.57/0.75  % (13450)Time elapsed: 0.002 s
% 0.57/0.75  % (13450)Instructions burned: 2 (million)
% 0.57/0.75  % (13448)Refutation not found, incomplete strategy% (13448)------------------------------
% 0.57/0.75  % (13448)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (13448)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (13448)Memory used [KB]: 953
% 0.57/0.75  % (13448)Time elapsed: 0.002 s
% 0.57/0.75  % (13448)Instructions burned: 2 (million)
% 0.57/0.75  % (13449)------------------------------
% 0.57/0.75  % (13449)------------------------------
% 0.57/0.75  % (13445)------------------------------
% 0.57/0.75  % (13445)------------------------------
% 0.57/0.75  % (13450)------------------------------
% 0.57/0.75  % (13450)------------------------------
% 0.57/0.75  % (13448)------------------------------
% 0.57/0.75  % (13448)------------------------------
% 0.57/0.75  % (13451)Refutation not found, incomplete strategy% (13451)------------------------------
% 0.57/0.75  % (13451)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (13451)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (13451)Memory used [KB]: 955
% 0.57/0.75  % (13451)Time elapsed: 0.003 s
% 0.57/0.75  % (13451)Instructions burned: 3 (million)
% 0.57/0.75  % (13451)------------------------------
% 0.57/0.75  % (13451)------------------------------
% 0.57/0.75  % (13446)First to succeed.
% 0.57/0.75  % (13446)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13243"
% 0.57/0.75  % (13447)Also succeeded, but the first one will report.
% 0.57/0.75  % (13446)Refutation found. Thanks to Tanya!
% 0.57/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.57/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75  % (13446)------------------------------
% 0.57/0.75  % (13446)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (13446)Termination reason: Refutation
% 0.57/0.75  
% 0.57/0.75  % (13446)Memory used [KB]: 1034
% 0.57/0.75  % (13446)Time elapsed: 0.004 s
% 0.57/0.75  % (13446)Instructions burned: 4 (million)
% 0.57/0.75  % (13243)Success in time 0.389 s
% 0.57/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------