TSTP Solution File: GEO147-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO147-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n013.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 Aug 31 16:12:00 EDT 2022

% Result   : Unsatisfiable 0.17s 0.47s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   27 (  14 unt;   0 def)
%            Number of atoms       :   40 (   3 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   27 (  14   ~;  11   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f181,plain,
    $false,
    inference(avatar_sat_refutation,[],[f136,f175,f180]) ).

fof(f180,plain,
    spl2_1,
    inference(avatar_contradiction_clause,[],[f179]) ).

fof(f179,plain,
    ( $false
    | spl2_1 ),
    inference(subsumption_resolution,[],[f178,f131]) ).

fof(f131,plain,
    ( ~ incident_o(sk27,sF0)
    | spl2_1 ),
    inference(avatar_component_clause,[],[f129]) ).

fof(f129,plain,
    ( spl2_1
  <=> incident_o(sk27,sF0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f178,plain,
    incident_o(sk27,sF0),
    inference(forward_demodulation,[],[f176,f124]) ).

fof(f124,plain,
    sF0 = ax3_sk1(sk28),
    introduced(function_definition,[]) ).

fof(f176,plain,
    incident_o(sk27,ax3_sk1(sk28)),
    inference(resolution,[],[f168,f115]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( ~ once(at(X0,X1))
      | incident_o(X1,ax3_sk1(X0)) ),
    inference(definition_unfolding,[],[f106,f108]) ).

fof(f108,axiom,
    ! [X0] : trajectory_of(X0) = ax3_sk1(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',trajectories_are_oriented_curves_12) ).

fof(f106,axiom,
    ! [X0,X1] :
      ( incident_o(X1,trajectory_of(X0))
      | ~ once(at(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',at_on_trajectory_10) ).

fof(f168,plain,
    once(at(sk28,sk27)),
    inference(resolution,[],[f148,f104]) ).

fof(f104,axiom,
    ! [X0,X1] :
      ( ~ once(at_the_same_time(X0,X1))
      | once(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjunction_at_the_same_time_8) ).

fof(f148,plain,
    once(at_the_same_time(at(sk28,sk27),at(sk29,sk27))),
    inference(resolution,[],[f97,f111]) ).

fof(f111,axiom,
    connect(sk28,sk29,sk27),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_156) ).

fof(f97,axiom,
    ! [X2,X0,X1] :
      ( ~ connect(X0,X1,X2)
      | once(at_the_same_time(at(X0,X2),at(X1,X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',connect_defn_1) ).

fof(f175,plain,
    spl2_2,
    inference(avatar_split_clause,[],[f174,f133]) ).

fof(f133,plain,
    ( spl2_2
  <=> incident_o(sk27,sF1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f174,plain,
    incident_o(sk27,sF1),
    inference(forward_demodulation,[],[f172,f125]) ).

fof(f125,plain,
    sF1 = ax3_sk1(sk29),
    introduced(function_definition,[]) ).

fof(f172,plain,
    incident_o(sk27,ax3_sk1(sk29)),
    inference(resolution,[],[f167,f115]) ).

fof(f167,plain,
    once(at(sk29,sk27)),
    inference(resolution,[],[f148,f105]) ).

fof(f105,axiom,
    ! [X0,X1] :
      ( ~ once(at_the_same_time(X0,X1))
      | once(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjunction_at_the_same_time_9) ).

fof(f136,plain,
    ( ~ spl2_1
    | ~ spl2_2 ),
    inference(avatar_split_clause,[],[f126,f133,f129]) ).

fof(f126,plain,
    ( ~ incident_o(sk27,sF1)
    | ~ incident_o(sk27,sF0) ),
    inference(definition_folding,[],[f114,f125,f124]) ).

fof(f114,plain,
    ( ~ incident_o(sk27,ax3_sk1(sk28))
    | ~ incident_o(sk27,ax3_sk1(sk29)) ),
    inference(definition_unfolding,[],[f112,f108,f108]) ).

fof(f112,axiom,
    ( ~ incident_o(sk27,trajectory_of(sk28))
    | ~ incident_o(sk27,trajectory_of(sk29)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_157) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GEO147-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.32  % Computer : n013.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit   : 300
% 0.13/0.32  % WCLimit    : 300
% 0.13/0.32  % DateTime   : Mon Aug 29 21:17:17 EDT 2022
% 0.13/0.32  % CPUTime    : 
% 0.17/0.46  % (12778)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.46  % (12778)First to succeed.
% 0.17/0.47  % (12793)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.47  % (12785)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.47  % (12778)Refutation found. Thanks to Tanya!
% 0.17/0.47  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48  % (12778)------------------------------
% 0.17/0.48  % (12778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.48  % (12778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.48  % (12778)Termination reason: Refutation
% 0.17/0.48  
% 0.17/0.48  % (12778)Memory used [KB]: 5628
% 0.17/0.48  % (12778)Time elapsed: 0.103 s
% 0.17/0.48  % (12778)Instructions burned: 7 (million)
% 0.17/0.48  % (12778)------------------------------
% 0.17/0.48  % (12778)------------------------------
% 0.17/0.48  % (12765)Success in time 0.144 s
%------------------------------------------------------------------------------