TSTP Solution File: GEO001-3 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO001-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n011.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 : Fri Sep  1 14:40:54 EDT 2023

% Result   : Unsatisfiable 0.18s 0.68s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   13 (   6 unt;   0 def)
%            Number of atoms       :   24 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   25 (  14   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-5 aty)
%            Number of variables   :   21 (;  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3306,plain,
    $false,
    inference(resolution,[],[f3302,f46]) ).

fof(f46,axiom,
    between(a,b,c),
    file('/export/starexec/sandbox2/tmp/tmp.FPja2mtwFf/Vampire---4.8_30675',b_between_a_and_c) ).

fof(f3302,plain,
    ~ between(a,b,c),
    inference(resolution,[],[f3292,f44]) ).

fof(f44,axiom,
    ! [X3,X10] : between(X10,X3,X3),
    file('/export/starexec/sandbox2/tmp/tmp.FPja2mtwFf/Vampire---4.8_30675',t3) ).

fof(f3292,plain,
    ( ~ between(b,c,c)
    | ~ between(a,b,c) ),
    inference(resolution,[],[f3110,f47]) ).

fof(f47,axiom,
    ~ between(c,b,a),
    file('/export/starexec/sandbox2/tmp/tmp.FPja2mtwFf/Vampire---4.8_30675',prove_b_between_c_and_a) ).

fof(f3110,plain,
    ( between(c,b,a)
    | ~ between(b,c,c)
    | ~ between(a,b,c) ),
    inference(superposition,[],[f9,f3108]) ).

fof(f3108,plain,
    b = inner_pasch(a,b,c,c,b),
    inference(resolution,[],[f3031,f46]) ).

fof(f3031,plain,
    ! [X2,X0,X1] :
      ( ~ between(X2,X0,X1)
      | inner_pasch(X2,X0,X1,X1,X0) = X0 ),
    inference(resolution,[],[f393,f44]) ).

fof(f393,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X3,X0,X2)
      | ~ between(X0,X1,X2)
      | inner_pasch(X3,X0,X2,X1,X0) = X0 ),
    inference(resolution,[],[f8,f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ between(X0,X1,X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.FPja2mtwFf/Vampire---4.8_30675',identity_for_betweeness) ).

fof(f8,axiom,
    ! [X3,X10,X0,X1,X5] :
      ( between(X3,inner_pasch(X10,X3,X5,X0,X1),X1)
      | ~ between(X1,X0,X5)
      | ~ between(X10,X3,X5) ),
    file('/export/starexec/sandbox2/tmp/tmp.FPja2mtwFf/Vampire---4.8_30675',inner_pasch1) ).

fof(f9,axiom,
    ! [X3,X10,X0,X1,X5] :
      ( between(X0,inner_pasch(X10,X3,X5,X0,X1),X10)
      | ~ between(X1,X0,X5)
      | ~ between(X10,X3,X5) ),
    file('/export/starexec/sandbox2/tmp/tmp.FPja2mtwFf/Vampire---4.8_30675',inner_pasch2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : GEO001-3 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Wed Aug 30 18:12:12 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.18/0.40  % (30781)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.41  % (30787)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.18/0.41  % (30782)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.18/0.41  % (30785)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.18/0.41  % (30783)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.18/0.41  % (30784)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.18/0.41  % (30786)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.18/0.41  % (30788)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.18/0.41  TRYING [1]
% 0.18/0.41  TRYING [2]
% 0.18/0.42  TRYING [3]
% 0.18/0.42  TRYING [1]
% 0.18/0.43  TRYING [2]
% 0.18/0.48  TRYING [4]
% 0.18/0.52  TRYING [3]
% 0.18/0.58  TRYING [1]
% 0.18/0.58  TRYING [2]
% 0.18/0.59  TRYING [3]
% 0.18/0.63  TRYING [4]
% 0.18/0.67  % (30787)First to succeed.
% 0.18/0.68  % (30787)Refutation found. Thanks to Tanya!
% 0.18/0.68  % SZS status Unsatisfiable for Vampire---4
% 0.18/0.68  % SZS output start Proof for Vampire---4
% See solution above
% 0.18/0.68  % (30787)------------------------------
% 0.18/0.68  % (30787)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.18/0.68  % (30787)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.18/0.68  % (30787)Termination reason: Refutation
% 0.18/0.68  
% 0.18/0.68  % (30787)Memory used [KB]: 2814
% 0.18/0.68  % (30787)Time elapsed: 0.267 s
% 0.18/0.68  % (30787)------------------------------
% 0.18/0.68  % (30787)------------------------------
% 0.18/0.68  % (30781)Success in time 0.332 s
% 0.18/0.68  % Vampire---4.8 exiting
%------------------------------------------------------------------------------