TSTP Solution File: SYN192-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN192-1 : TPTP v8.1.2. Released v1.1.0.
% 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 : n002.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 03:38:07 EDT 2023

% Result   : Unsatisfiable 0.25s 0.48s
% Output   : Refutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   30 (   8 unt;   0 def)
%            Number of atoms       :   66 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   87 (  51   ~;  34   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   2 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   63 (;  63   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f677,plain,
    $false,
    inference(resolution,[],[f673,f30]) ).

fof(f30,axiom,
    n0(e,e),
    file('/export/starexec/sandbox/tmp/tmp.sFwzuQj35b/Vampire---4.8_8152',axiom_30) ).

fof(f673,plain,
    ! [X0] : ~ n0(X0,e),
    inference(resolution,[],[f670,f40]) ).

fof(f40,axiom,
    ! [X4,X5] :
      ( ~ n0(X5,X4)
      | l1(X4,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.sFwzuQj35b/Vampire---4.8_8152',rule_002) ).

fof(f670,plain,
    ! [X5] : ~ l1(X5,e),
    inference(resolution,[],[f648,f224]) ).

fof(f224,axiom,
    ! [X4,X5] :
      ( ~ l1(X5,X4)
      | q2(X4,X4,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.sFwzuQj35b/Vampire---4.8_8152',rule_186) ).

fof(f648,plain,
    ! [X3] : ~ q2(e,e,X3),
    inference(resolution,[],[f644,f30]) ).

fof(f644,plain,
    ! [X2,X0,X1] :
      ( ~ n0(X0,X1)
      | ~ q2(X0,X1,X2) ),
    inference(resolution,[],[f638,f37]) ).

fof(f37,axiom,
    n0(b,a),
    file('/export/starexec/sandbox/tmp/tmp.sFwzuQj35b/Vampire---4.8_8152',axiom_37) ).

fof(f638,plain,
    ! [X2,X3,X0,X1] :
      ( ~ n0(X3,a)
      | ~ n0(X0,X1)
      | ~ q2(X0,X1,X2) ),
    inference(resolution,[],[f614,f39]) ).

fof(f39,axiom,
    ! [X2,X3] :
      ( k1(X2)
      | ~ n0(X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.sFwzuQj35b/Vampire---4.8_8152',rule_001) ).

fof(f614,plain,
    ! [X24,X22,X23] :
      ( ~ k1(a)
      | ~ q2(X22,X23,X24)
      | ~ n0(X22,X23) ),
    inference(resolution,[],[f605,f197]) ).

fof(f197,axiom,
    ! [X10] :
      ( ~ k1(X10)
      | p2(X10,X10,X10) ),
    file('/export/starexec/sandbox/tmp/tmp.sFwzuQj35b/Vampire---4.8_8152',rule_159) ).

fof(f605,plain,
    ! [X18,X19,X16,X17,X20] :
      ( ~ p2(X16,X17,a)
      | ~ n0(X18,X19)
      | ~ q2(X18,X19,X20) ),
    inference(resolution,[],[f600,f293]) ).

fof(f293,axiom,
    ! [X2,X4,X5] :
      ( ~ n0(X2,X4)
      | q3(X4,X5)
      | ~ q2(X2,X4,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.sFwzuQj35b/Vampire---4.8_8152',rule_255) ).

fof(f600,plain,
    ! [X2,X3,X0,X1] :
      ( ~ q3(X2,X3)
      | ~ p2(X0,X1,a) ),
    inference(resolution,[],[f599,f14]) ).

fof(f14,axiom,
    ! [X0] : p0(b,X0),
    file('/export/starexec/sandbox/tmp/tmp.sFwzuQj35b/Vampire---4.8_8152',axiom_14) ).

fof(f599,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ p0(X0,a)
      | ~ p2(X1,X2,a)
      | ~ q3(X3,X4) ),
    inference(resolution,[],[f598,f466]) ).

fof(f466,plain,
    ! [X2,X5] :
      ( ~ q3(X5,X2)
      | sP48(X5) ),
    inference(cnf_transformation,[],[f466_D]) ).

fof(f466_D,plain,
    ! [X5] :
      ( ! [X2] : ~ q3(X5,X2)
    <=> ~ sP48(X5) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP48])]) ).

fof(f598,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sP48(X1)
      | ~ p0(X0,a)
      | ~ p2(X2,X3,a) ),
    inference(resolution,[],[f597,f278]) ).

fof(f278,axiom,
    ! [X8,X9,X7] :
      ( n3(X7)
      | ~ p2(X8,X9,X7) ),
    file('/export/starexec/sandbox/tmp/tmp.sFwzuQj35b/Vampire---4.8_8152',rule_240) ).

fof(f597,plain,
    ! [X0,X1] :
      ( ~ n3(a)
      | ~ p0(X0,a)
      | ~ sP48(X1) ),
    inference(resolution,[],[f596,f468]) ).

fof(f468,plain,
    ! [X5] :
      ( ~ sP48(X5)
      | sP49 ),
    inference(cnf_transformation,[],[f468_D]) ).

fof(f468_D,plain,
    ( ! [X5] : ~ sP48(X5)
  <=> ~ sP49 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP49])]) ).

fof(f596,plain,
    ! [X0] :
      ( ~ sP49
      | ~ p0(X0,a)
      | ~ n3(a) ),
    inference(resolution,[],[f369,f469]) ).

fof(f469,plain,
    ! [X3,X4] :
      ( ~ n3(X4)
      | r4(X4)
      | ~ p0(X3,X4)
      | ~ sP49 ),
    inference(general_splitting,[],[f467,f468_D]) ).

fof(f467,plain,
    ! [X3,X4,X5] :
      ( ~ n3(X4)
      | r4(X4)
      | ~ p0(X3,X4)
      | ~ sP48(X5) ),
    inference(general_splitting,[],[f336,f466_D]) ).

fof(f336,axiom,
    ! [X2,X3,X4,X5] :
      ( ~ n3(X4)
      | r4(X4)
      | ~ p0(X3,X4)
      | ~ q3(X5,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.sFwzuQj35b/Vampire---4.8_8152',rule_298) ).

fof(f369,axiom,
    ~ r4(a),
    file('/export/starexec/sandbox/tmp/tmp.sFwzuQj35b/Vampire---4.8_8152',prove_this) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15  % Problem    : SYN192-1 : TPTP v8.1.2. Released v1.1.0.
% 0.07/0.17  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.17/0.38  % Computer : n002.cluster.edu
% 0.17/0.38  % Model    : x86_64 x86_64
% 0.17/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38  % Memory   : 8042.1875MB
% 0.17/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38  % CPULimit   : 300
% 0.17/0.38  % WCLimit    : 300
% 0.17/0.38  % DateTime   : Sat Aug 26 18:56:18 EDT 2023
% 0.17/0.38  % CPUTime    : 
% 0.17/0.38  This is a CNF_UNS_EPR_NEQ_HRN problem
% 0.17/0.39  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.sFwzuQj35b/Vampire---4.8_8152
% 0.17/0.39  % (8376)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.46  % (8390)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.25/0.46  % (8387)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.25/0.46  % (8384)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.25/0.46  % (8386)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.25/0.46  % (8388)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.25/0.46  % (8382)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.25/0.47  % (8392)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.25/0.48  % (8392)First to succeed.
% 0.25/0.48  % (8392)Refutation found. Thanks to Tanya!
% 0.25/0.48  % SZS status Unsatisfiable for Vampire---4
% 0.25/0.48  % SZS output start Proof for Vampire---4
% See solution above
% 0.25/0.48  % (8392)------------------------------
% 0.25/0.48  % (8392)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.25/0.48  % (8392)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.25/0.48  % (8392)Termination reason: Refutation
% 0.25/0.48  
% 0.25/0.48  % (8392)Memory used [KB]: 1791
% 0.25/0.48  % (8392)Time elapsed: 0.010 s
% 0.25/0.48  % (8392)------------------------------
% 0.25/0.48  % (8392)------------------------------
% 0.25/0.48  % (8376)Success in time 0.089 s
% 0.25/0.48  % Vampire---4.8 exiting
%------------------------------------------------------------------------------