TSTP Solution File: PLA002-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : PLA002-2 : TPTP v8.1.0. Released v1.0.0.
% 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 : n023.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 18:09:15 EDT 2022

% Result   : Unsatisfiable 0.21s 0.51s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   54 (   5 unt;   0 def)
%            Number of atoms       :  154 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  221 ( 121   ~;  96   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   5 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   49 (  49   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f103,plain,
    $false,
    inference(avatar_sat_refutation,[],[f33,f37,f75,f102]) ).

fof(f102,plain,
    ~ spl1_3,
    inference(avatar_contradiction_clause,[],[f101]) ).

fof(f101,plain,
    ( $false
    | ~ spl1_3 ),
    inference(resolution,[],[f99,f16]) ).

fof(f16,axiom,
    situation(s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_situation) ).

fof(f99,plain,
    ( ~ situation(s0)
    | ~ spl1_3 ),
    inference(resolution,[],[f93,f22]) ).

fof(f22,axiom,
    at(f,s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial) ).

fof(f93,plain,
    ( ! [X0] :
        ( ~ at(f,X0)
        | ~ situation(X0) )
    | ~ spl1_3 ),
    inference(duplicate_literal_removal,[],[f92]) ).

fof(f92,plain,
    ( ! [X0] :
        ( ~ situation(X0)
        | ~ situation(X0)
        | ~ at(f,X0) )
    | ~ spl1_3 ),
    inference(resolution,[],[f87,f21]) ).

fof(f21,axiom,
    ! [X2,X3] :
      ( situation(go(X3,X2))
      | ~ situation(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',go_situation) ).

fof(f87,plain,
    ( ! [X0] :
        ( ~ situation(go(d,X0))
        | ~ at(f,X0)
        | ~ situation(X0) )
    | ~ spl1_3 ),
    inference(resolution,[],[f85,f15]) ).

fof(f15,axiom,
    ! [X2] :
      ( at(d,go(d,X2))
      | ~ at(f,X2)
      | ~ situation(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',go_f_to_d) ).

fof(f85,plain,
    ( ! [X0] :
        ( ~ at(d,X0)
        | ~ situation(X0) )
    | ~ spl1_3 ),
    inference(duplicate_literal_removal,[],[f82]) ).

fof(f82,plain,
    ( ! [X0] :
        ( ~ situation(X0)
        | ~ situation(X0)
        | ~ at(d,X0) )
    | ~ spl1_3 ),
    inference(resolution,[],[f80,f63]) ).

fof(f63,plain,
    ! [X0] :
      ( ~ cold(go(c,X0))
      | ~ situation(X0)
      | ~ at(d,X0) ),
    inference(duplicate_literal_removal,[],[f62]) ).

fof(f62,plain,
    ! [X0] :
      ( ~ situation(X0)
      | ~ situation(X0)
      | ~ at(d,X0)
      | ~ cold(go(c,X0)) ),
    inference(resolution,[],[f52,f21]) ).

fof(f52,plain,
    ! [X1] :
      ( ~ situation(go(c,X1))
      | ~ situation(X1)
      | ~ cold(go(c,X1))
      | ~ at(d,X1) ),
    inference(resolution,[],[f50,f11]) ).

fof(f11,axiom,
    ! [X2] :
      ( at(c,go(c,X2))
      | ~ at(d,X2)
      | ~ situation(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',go_d_to_c) ).

fof(f50,plain,
    ! [X0] :
      ( ~ at(c,X0)
      | ~ cold(X0)
      | ~ situation(X0) ),
    inference(duplicate_literal_removal,[],[f49]) ).

fof(f49,plain,
    ! [X0] :
      ( ~ at(c,X0)
      | ~ situation(X0)
      | ~ cold(X0)
      | ~ situation(X0) ),
    inference(resolution,[],[f48,f20]) ).

fof(f20,axiom,
    ! [X2,X3] :
      ( situation(skate(X3,X2))
      | ~ situation(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',skate_situation) ).

fof(f48,plain,
    ! [X0] :
      ( ~ situation(skate(b,X0))
      | ~ at(c,X0)
      | ~ cold(X0)
      | ~ situation(X0) ),
    inference(resolution,[],[f7,f46]) ).

fof(f46,plain,
    ! [X0] :
      ( ~ at(b,X0)
      | ~ situation(X0) ),
    inference(duplicate_literal_removal,[],[f45]) ).

fof(f45,plain,
    ! [X0] :
      ( ~ situation(X0)
      | ~ situation(X0)
      | ~ at(b,X0) ),
    inference(resolution,[],[f44,f17]) ).

fof(f17,axiom,
    ! [X2,X3] :
      ( situation(walk(X3,X2))
      | ~ situation(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',walk_situation) ).

fof(f44,plain,
    ! [X0] :
      ( ~ situation(walk(a,X0))
      | ~ at(b,X0)
      | ~ situation(X0) ),
    inference(resolution,[],[f4,f23]) ).

fof(f23,axiom,
    ! [X4] :
      ( ~ at(a,X4)
      | ~ situation(X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_you_can_get_to_a_in_a_situation) ).

fof(f4,axiom,
    ! [X2] :
      ( at(a,walk(a,X2))
      | ~ at(b,X2)
      | ~ situation(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',walk_b_to_a) ).

fof(f7,axiom,
    ! [X2] :
      ( at(b,skate(b,X2))
      | ~ situation(X2)
      | ~ at(c,X2)
      | ~ cold(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cross_river_c_to_b) ).

fof(f80,plain,
    ( ! [X8,X9] :
        ( cold(go(X8,X9))
        | ~ situation(X9) )
    | ~ spl1_3 ),
    inference(resolution,[],[f36,f21]) ).

fof(f36,plain,
    ( ! [X1] :
        ( ~ situation(X1)
        | cold(X1) )
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f35,plain,
    ( spl1_3
  <=> ! [X1] :
        ( ~ situation(X1)
        | cold(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

fof(f75,plain,
    ~ spl1_2,
    inference(avatar_contradiction_clause,[],[f74]) ).

fof(f74,plain,
    ( $false
    | ~ spl1_2 ),
    inference(resolution,[],[f70,f16]) ).

fof(f70,plain,
    ( ~ situation(s0)
    | ~ spl1_2 ),
    inference(resolution,[],[f69,f22]) ).

fof(f69,plain,
    ( ! [X0] :
        ( ~ at(f,X0)
        | ~ situation(X0) )
    | ~ spl1_2 ),
    inference(duplicate_literal_removal,[],[f68]) ).

fof(f68,plain,
    ( ! [X0] :
        ( ~ situation(X0)
        | ~ at(f,X0)
        | ~ situation(X0) )
    | ~ spl1_2 ),
    inference(resolution,[],[f65,f43]) ).

fof(f43,plain,
    ( ! [X0,X1] :
        ( warm(go(X1,X0))
        | ~ situation(X0) )
    | ~ spl1_2 ),
    inference(resolution,[],[f21,f32]) ).

fof(f32,plain,
    ( ! [X0] :
        ( ~ situation(X0)
        | warm(X0) )
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f31,plain,
    ( spl1_2
  <=> ! [X0] :
        ( warm(X0)
        | ~ situation(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f65,plain,
    ! [X0] :
      ( ~ warm(go(d,X0))
      | ~ situation(X0)
      | ~ at(f,X0) ),
    inference(duplicate_literal_removal,[],[f64]) ).

fof(f64,plain,
    ! [X0] :
      ( ~ at(f,X0)
      | ~ situation(X0)
      | ~ situation(X0)
      | ~ warm(go(d,X0)) ),
    inference(resolution,[],[f57,f21]) ).

fof(f57,plain,
    ! [X0] :
      ( ~ situation(go(d,X0))
      | ~ situation(X0)
      | ~ at(f,X0)
      | ~ warm(go(d,X0)) ),
    inference(resolution,[],[f56,f15]) ).

fof(f56,plain,
    ! [X0] :
      ( ~ at(d,X0)
      | ~ warm(X0)
      | ~ situation(X0) ),
    inference(duplicate_literal_removal,[],[f55]) ).

fof(f55,plain,
    ! [X0] :
      ( ~ situation(X0)
      | ~ situation(X0)
      | ~ warm(X0)
      | ~ at(d,X0) ),
    inference(resolution,[],[f54,f19]) ).

fof(f19,axiom,
    ! [X2,X3] :
      ( situation(climb(X3,X2))
      | ~ situation(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',climb_situation) ).

fof(f54,plain,
    ! [X0] :
      ( ~ situation(climb(b,X0))
      | ~ warm(X0)
      | ~ situation(X0)
      | ~ at(d,X0) ),
    inference(resolution,[],[f9,f46]) ).

fof(f9,axiom,
    ! [X2] :
      ( at(b,climb(b,X2))
      | ~ warm(X2)
      | ~ at(d,X2)
      | ~ situation(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',climb_mountain_d_to_b) ).

fof(f37,plain,
    ( ~ spl1_1
    | spl1_3 ),
    inference(avatar_split_clause,[],[f25,f35,f27]) ).

fof(f27,plain,
    ( spl1_1
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f25,plain,
    ! [X1] :
      ( ~ situation(X1)
      | cold(X1)
      | ~ sP0 ),
    inference(general_splitting,[],[f1,f24_D]) ).

fof(f24,plain,
    ! [X0] :
      ( warm(X0)
      | sP0
      | ~ situation(X0) ),
    inference(cnf_transformation,[],[f24_D]) ).

fof(f24_D,plain,
    ( ! [X0] :
        ( warm(X0)
        | ~ situation(X0) )
  <=> ~ sP0 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ situation(X1)
      | warm(X0)
      | ~ situation(X0)
      | cold(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',warm_or_cold) ).

fof(f33,plain,
    ( spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f24,f31,f27]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : PLA002-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 10:24:35 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.50  % (13524)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.50  % (13530)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.51  % (13530)First to succeed.
% 0.21/0.51  % (13530)Refutation found. Thanks to Tanya!
% 0.21/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51  % (13530)------------------------------
% 0.21/0.51  % (13530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (13530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (13530)Termination reason: Refutation
% 0.21/0.51  
% 0.21/0.51  % (13530)Memory used [KB]: 5500
% 0.21/0.51  % (13530)Time elapsed: 0.110 s
% 0.21/0.51  % (13530)Instructions burned: 2 (million)
% 0.21/0.51  % (13530)------------------------------
% 0.21/0.51  % (13530)------------------------------
% 0.21/0.51  % (13519)Success in time 0.157 s
%------------------------------------------------------------------------------