TSTP Solution File: SYN066-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN066-1 : 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 : n032.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 : Sat Sep  2 14:24:47 EDT 2023

% Result   : Unsatisfiable 0.13s 0.34s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   21 (   4 unt;   0 def)
%            Number of atoms       :   38 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   35 (  18   ~;  13   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   5 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :   22 (;  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f27,plain,
    $false,
    inference(avatar_sat_refutation,[],[f16,f20,f22,f26]) ).

fof(f26,plain,
    ~ spl1_3,
    inference(avatar_contradiction_clause,[],[f25]) ).

fof(f25,plain,
    ( $false
    | ~ spl1_3 ),
    inference(resolution,[],[f24,f23]) ).

fof(f23,plain,
    ( ! [X0,X1] : big_p(X0,X1)
    | ~ spl1_3 ),
    inference(resolution,[],[f4,f19]) ).

fof(f19,plain,
    ( ! [X0,X1] : ~ big_q(X1,X0)
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f18]) ).

fof(f18,plain,
    ( spl1_3
  <=> ! [X0,X1] : ~ big_q(X1,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( big_q(i(X1,X0),X1)
      | big_p(X1,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.RP1EGRIRdL/Vampire---4.8_29699',clause_4) ).

fof(f24,plain,
    ( ! [X0,X1] : ~ big_p(f(X0,X1),g(X0))
    | ~ spl1_3 ),
    inference(resolution,[],[f3,f19]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( big_q(h(X1,X0),g(X1))
      | ~ big_p(f(X1,X0),g(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.RP1EGRIRdL/Vampire---4.8_29699',clause_3) ).

fof(f22,plain,
    ~ spl1_2,
    inference(avatar_contradiction_clause,[],[f21]) ).

fof(f21,plain,
    ( $false
    | ~ spl1_2 ),
    inference(resolution,[],[f15,f6]) ).

fof(f6,axiom,
    ! [X2] : ~ big_r(a,X2),
    file('/export/starexec/sandbox2/tmp/tmp.RP1EGRIRdL/Vampire---4.8_29699',clause_6) ).

fof(f15,plain,
    ( ! [X2] : big_r(X2,X2)
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f14]) ).

fof(f14,plain,
    ( spl1_2
  <=> ! [X2] : big_r(X2,X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f20,plain,
    ( ~ spl1_1
    | spl1_3 ),
    inference(avatar_split_clause,[],[f8,f18,f10]) ).

fof(f10,plain,
    ( spl1_1
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( ~ big_q(X1,X0)
      | ~ sP0 ),
    inference(general_splitting,[],[f5,f7_D]) ).

fof(f7,plain,
    ! [X2] :
      ( big_r(X2,X2)
      | sP0 ),
    inference(cnf_transformation,[],[f7_D]) ).

fof(f7_D,plain,
    ( ! [X2] : big_r(X2,X2)
  <=> ~ sP0 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( ~ big_q(X1,X0)
      | big_r(X2,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.RP1EGRIRdL/Vampire---4.8_29699',clause_5) ).

fof(f16,plain,
    ( spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f7,f14,f10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08  % Problem    : SYN066-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.09  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit   : 300
% 0.09/0.28  % WCLimit    : 300
% 0.09/0.28  % DateTime   : Wed Aug 30 15:59:17 EDT 2023
% 0.09/0.28  % CPUTime    : 
% 0.13/0.33  % (29821)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.33  % (29852)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on Vampire---4 for (476ds/0Mi)
% 0.13/0.34  % (29850)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.13/0.34  % (29851)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.13/0.34  % (29853)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.13/0.34  % (29856)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.13/0.34  Detected minimum model sizes of [1,1,1]
% 0.13/0.34  Detected maximum model sizes of [max,max,1]
% 0.13/0.34  TRYING [1,1,1]
% 0.13/0.34  TRYING [1]
% 0.13/0.34  % (29854)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.13/0.34  % (29858)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.13/0.34  TRYING [2,1,1]
% 0.13/0.34  TRYING [2]
% 0.13/0.34  % (29852)First to succeed.
% 0.13/0.34  Detected minimum model sizes of [1,1,1]
% 0.13/0.34  Detected maximum model sizes of [max,max,1]
% 0.13/0.34  TRYING [1,1,1]
% 0.13/0.34  TRYING [3,1,1]
% 0.13/0.34  TRYING [3]
% 0.13/0.34  TRYING [2,1,1]
% 0.13/0.34  % (29854)Also succeeded, but the first one will report.
% 0.13/0.34  TRYING [1]
% 0.13/0.34  TRYING [2]
% 0.13/0.34  TRYING [2,2,1]
% 0.13/0.34  TRYING [3,1,1]
% 0.13/0.34  TRYING [3]
% 0.13/0.34  % (29852)Refutation found. Thanks to Tanya!
% 0.13/0.34  % SZS status Unsatisfiable for Vampire---4
% 0.13/0.34  % SZS output start Proof for Vampire---4
% See solution above
% 0.13/0.34  % (29852)------------------------------
% 0.13/0.34  % (29852)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.13/0.34  % (29852)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.13/0.34  % (29852)Termination reason: Refutation
% 0.13/0.34  
% 0.13/0.34  % (29852)Memory used [KB]: 5373
% 0.13/0.34  % (29852)Time elapsed: 0.003 s
% 0.13/0.34  % (29852)------------------------------
% 0.13/0.34  % (29852)------------------------------
% 0.13/0.34  % (29821)Success in time 0.051 s
% 0.13/0.34  % Vampire---4.8 exiting
%------------------------------------------------------------------------------