TSTP Solution File: PLA002-2 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : PLA002-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n005.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 : Sun May  5 08:46:39 EDT 2024

% Result   : Unsatisfiable 0.13s 0.37s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   52 (   5 unt;   0 def)
%            Number of atoms       :  152 (   0 equ)
%            Maximal formula atoms :    5 (   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   :   45 (  45   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f85,plain,
    $false,
    inference(avatar_sat_refutation,[],[f33,f37,f63,f84]) ).

fof(f84,plain,
    ~ spl1_3,
    inference(avatar_contradiction_clause,[],[f83]) ).

fof(f83,plain,
    ( $false
    | ~ spl1_3 ),
    inference(resolution,[],[f81,f16]) ).

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

fof(f81,plain,
    ( ~ situation(s0)
    | ~ spl1_3 ),
    inference(resolution,[],[f78,f22]) ).

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

fof(f78,plain,
    ( ! [X0] :
        ( ~ at(f,X0)
        | ~ situation(X0) )
    | ~ spl1_3 ),
    inference(duplicate_literal_removal,[],[f77]) ).

fof(f77,plain,
    ( ! [X0] :
        ( ~ at(f,X0)
        | ~ situation(X0)
        | ~ situation(X0) )
    | ~ spl1_3 ),
    inference(resolution,[],[f73,f21]) ).

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

fof(f73,plain,
    ( ! [X0] :
        ( ~ situation(go(d,X0))
        | ~ at(f,X0)
        | ~ situation(X0) )
    | ~ spl1_3 ),
    inference(resolution,[],[f72,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(f72,plain,
    ( ! [X0] :
        ( ~ at(d,X0)
        | ~ situation(X0) )
    | ~ spl1_3 ),
    inference(duplicate_literal_removal,[],[f71]) ).

fof(f71,plain,
    ( ! [X0] :
        ( ~ at(d,X0)
        | ~ situation(X0)
        | ~ situation(X0) )
    | ~ spl1_3 ),
    inference(resolution,[],[f67,f21]) ).

fof(f67,plain,
    ( ! [X0] :
        ( ~ situation(go(c,X0))
        | ~ at(d,X0)
        | ~ situation(X0) )
    | ~ spl1_3 ),
    inference(duplicate_literal_removal,[],[f64]) ).

fof(f64,plain,
    ( ! [X0] :
        ( ~ situation(go(c,X0))
        | ~ situation(go(c,X0))
        | ~ at(d,X0)
        | ~ situation(X0) )
    | ~ spl1_3 ),
    inference(resolution,[],[f36,f46]) ).

fof(f46,plain,
    ! [X0] :
      ( ~ cold(go(c,X0))
      | ~ situation(go(c,X0))
      | ~ at(d,X0)
      | ~ situation(X0) ),
    inference(resolution,[],[f44,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(f44,plain,
    ! [X0] :
      ( ~ at(c,X0)
      | ~ cold(X0)
      | ~ situation(X0) ),
    inference(duplicate_literal_removal,[],[f43]) ).

fof(f43,plain,
    ! [X0] :
      ( ~ at(c,X0)
      | ~ cold(X0)
      | ~ situation(X0)
      | ~ situation(X0) ),
    inference(resolution,[],[f42,f20]) ).

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

fof(f42,plain,
    ! [X0] :
      ( ~ situation(skate(b,X0))
      | ~ at(c,X0)
      | ~ cold(X0)
      | ~ situation(X0) ),
    inference(resolution,[],[f7,f40]) ).

fof(f40,plain,
    ! [X0] :
      ( ~ at(b,X0)
      | ~ situation(X0) ),
    inference(duplicate_literal_removal,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ~ situation(X0)
      | ~ at(b,X0)
      | ~ situation(X0) ),
    inference(resolution,[],[f38,f17]) ).

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

fof(f38,plain,
    ! [X0] :
      ( ~ situation(walk(a,X0))
      | ~ situation(X0)
      | ~ at(b,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(f36,plain,
    ( ! [X1] :
        ( cold(X1)
        | ~ situation(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(f63,plain,
    ~ spl1_2,
    inference(avatar_contradiction_clause,[],[f62]) ).

fof(f62,plain,
    ( $false
    | ~ spl1_2 ),
    inference(resolution,[],[f60,f16]) ).

fof(f60,plain,
    ( ~ situation(s0)
    | ~ spl1_2 ),
    inference(resolution,[],[f57,f22]) ).

fof(f57,plain,
    ( ! [X0] :
        ( ~ at(f,X0)
        | ~ situation(X0) )
    | ~ spl1_2 ),
    inference(duplicate_literal_removal,[],[f56]) ).

fof(f56,plain,
    ( ! [X0] :
        ( ~ at(f,X0)
        | ~ situation(X0)
        | ~ situation(X0) )
    | ~ spl1_2 ),
    inference(resolution,[],[f53,f21]) ).

fof(f53,plain,
    ( ! [X0] :
        ( ~ situation(go(d,X0))
        | ~ at(f,X0)
        | ~ situation(X0) )
    | ~ spl1_2 ),
    inference(duplicate_literal_removal,[],[f52]) ).

fof(f52,plain,
    ( ! [X0] :
        ( ~ situation(go(d,X0))
        | ~ at(f,X0)
        | ~ situation(X0)
        | ~ situation(go(d,X0)) )
    | ~ spl1_2 ),
    inference(resolution,[],[f50,f32]) ).

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

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

fof(f50,plain,
    ! [X0] :
      ( ~ warm(go(d,X0))
      | ~ situation(go(d,X0))
      | ~ at(f,X0)
      | ~ situation(X0) ),
    inference(resolution,[],[f49,f15]) ).

fof(f49,plain,
    ! [X0] :
      ( ~ at(d,X0)
      | ~ warm(X0)
      | ~ situation(X0) ),
    inference(duplicate_literal_removal,[],[f48]) ).

fof(f48,plain,
    ! [X0] :
      ( ~ at(d,X0)
      | ~ warm(X0)
      | ~ situation(X0)
      | ~ situation(X0) ),
    inference(resolution,[],[f47,f19]) ).

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

fof(f47,plain,
    ! [X0] :
      ( ~ situation(climb(b,X0))
      | ~ at(d,X0)
      | ~ warm(X0)
      | ~ situation(X0) ),
    inference(resolution,[],[f9,f40]) ).

fof(f9,axiom,
    ! [X2] :
      ( at(b,climb(b,X2))
      | ~ situation(X2)
      | ~ at(d,X2)
      | ~ warm(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] :
      ( ~ situation(X0)
      | warm(X0)
      | sP0 ),
    inference(cnf_transformation,[],[f24_D]) ).

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

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ situation(X1)
      | ~ situation(X0)
      | cold(X1)
      | warm(X0) ),
    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
% 0.00/0.12  % Problem    : PLA002-2 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n005.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   : Fri May  3 18:35:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (544)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36  % (548)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.36  TRYING [1,1]
% 0.13/0.36  TRYING [2,1]
% 0.13/0.36  TRYING [3,1]
% 0.13/0.36  TRYING [2,2]
% 0.13/0.36  TRYING [4,1]
% 0.13/0.36  TRYING [3,2]
% 0.13/0.37  TRYING [5,1]
% 0.13/0.37  % (545)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37  % (546)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37  % (547)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 theBenchmark for (476ds/0Mi)
% 0.13/0.37  % (549)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37  % (550)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37  % (551)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37  TRYING [4,2]
% 0.13/0.37  TRYING [1]
% 0.13/0.37  TRYING [2]
% 0.13/0.37  TRYING [1,1]
% 0.13/0.37  TRYING [1]
% 0.13/0.37  TRYING [6,1]
% 0.13/0.37  TRYING [2,1]
% 0.13/0.37  TRYING [2]
% 0.13/0.37  % (547)First to succeed.
% 0.13/0.37  TRYING [3,1]
% 0.13/0.37  TRYING [5,2]
% 0.13/0.37  % (547)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-544"
% 0.13/0.37  TRYING [3]
% 0.13/0.37  % (550)Also succeeded, but the first one will report.
% 0.13/0.37  TRYING [2,2]
% 0.13/0.37  TRYING [3]
% 0.13/0.37  % (547)Refutation found. Thanks to Tanya!
% 0.13/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.13/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37  % (547)------------------------------
% 0.13/0.37  % (547)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37  % (547)Termination reason: Refutation
% 0.13/0.37  
% 0.13/0.37  % (547)Memory used [KB]: 844
% 0.13/0.37  % (547)Time elapsed: 0.005 s
% 0.13/0.37  % (547)Instructions burned: 5 (million)
% 0.13/0.37  % (544)Success in time 0.021 s
%------------------------------------------------------------------------------