TSTP Solution File: SYN619-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN619-1 : TPTP v8.1.0. Released v2.5.0.
% 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 : n026.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 19:39:05 EDT 2022

% Result   : Unsatisfiable 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   40 (   9 unt;   0 def)
%            Number of atoms       :   89 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   82 (  33   ~;  42   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   8 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   7 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f165,plain,
    $false,
    inference(avatar_sat_refutation,[],[f112,f114,f131,f133,f158,f160,f162,f164]) ).

fof(f164,plain,
    ~ spl2_6,
    inference(avatar_contradiction_clause,[],[f163]) ).

fof(f163,plain,
    ( $false
    | ~ spl2_6 ),
    inference(resolution,[],[f126,f8]) ).

fof(f8,axiom,
    ~ p18(c24,f6(f7(c22,c23))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p18_8) ).

fof(f126,plain,
    ( p18(c24,f6(f7(c22,c23)))
    | ~ spl2_6 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f124,plain,
    ( spl2_6
  <=> p18(c24,f6(f7(c22,c23))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).

fof(f162,plain,
    spl2_7,
    inference(avatar_contradiction_clause,[],[f161]) ).

fof(f161,plain,
    ( $false
    | spl2_7 ),
    inference(resolution,[],[f130,f5]) ).

fof(f5,axiom,
    ! [X4] : p2(X4,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).

fof(f130,plain,
    ( ~ p2(c20,c20)
    | spl2_7 ),
    inference(avatar_component_clause,[],[f128]) ).

fof(f128,plain,
    ( spl2_7
  <=> p2(c20,c20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).

fof(f160,plain,
    spl2_5,
    inference(avatar_contradiction_clause,[],[f159]) ).

fof(f159,plain,
    ( $false
    | spl2_5 ),
    inference(resolution,[],[f122,f6]) ).

fof(f6,axiom,
    ! [X5] : p17(X5,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_6) ).

fof(f122,plain,
    ( ~ p17(c21,c21)
    | spl2_5 ),
    inference(avatar_component_clause,[],[f120]) ).

fof(f120,plain,
    ( spl2_5
  <=> p17(c21,c21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f158,plain,
    ( spl2_2
    | ~ spl2_1
    | spl2_4 ),
    inference(avatar_split_clause,[],[f157,f109,f97,f101]) ).

fof(f101,plain,
    ( spl2_2
  <=> p17(c21,f15(c24)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f97,plain,
    ( spl2_1
  <=> p18(c24,f6(c25)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f109,plain,
    ( spl2_4
  <=> p18(c24,f6(c19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f157,plain,
    ( ~ p18(c24,f6(c25))
    | p17(c21,f15(c24))
    | spl2_4 ),
    inference(resolution,[],[f76,f110]) ).

fof(f110,plain,
    ( ~ p18(c24,f6(c19))
    | spl2_4 ),
    inference(avatar_component_clause,[],[f109]) ).

fof(f76,plain,
    ! [X0] :
      ( p18(X0,f6(c19))
      | ~ p18(X0,f6(c25))
      | p17(c21,f15(X0)) ),
    inference(resolution,[],[f27,f9]) ).

fof(f9,axiom,
    ! [X6,X7] :
      ( ~ p17(f3(X6),X7)
      | p17(X6,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_9) ).

fof(f27,axiom,
    ! [X36] :
      ( p17(f3(c21),f15(X36))
      | p18(X36,f6(c19))
      | ~ p18(X36,f6(c25)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_27) ).

fof(f133,plain,
    ( ~ spl2_1
    | spl2_3
    | spl2_4 ),
    inference(avatar_split_clause,[],[f132,f109,f105,f97]) ).

fof(f105,plain,
    ( spl2_3
  <=> p2(f14(c24),c20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f132,plain,
    ( p2(f14(c24),c20)
    | ~ p18(c24,f6(c25))
    | spl2_4 ),
    inference(resolution,[],[f110,f24]) ).

fof(f24,axiom,
    ! [X36] :
      ( p18(X36,f6(c19))
      | p2(f14(X36),c20)
      | ~ p18(X36,f6(c25)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_24) ).

fof(f131,plain,
    ( ~ spl2_5
    | ~ spl2_4
    | spl2_6
    | ~ spl2_7 ),
    inference(avatar_split_clause,[],[f118,f128,f124,f109,f120]) ).

fof(f118,plain,
    ( ~ p2(c20,c20)
    | p18(c24,f6(f7(c22,c23)))
    | ~ p18(c24,f6(c19))
    | ~ p17(c21,c21) ),
    inference(resolution,[],[f34,f32]) ).

fof(f32,axiom,
    ! [X58,X59,X57] :
      ( ~ p8(c24,f9(f13(X57,X58),X59))
      | ~ p17(c21,X58)
      | ~ p2(X57,c20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_32) ).

fof(f34,axiom,
    ! [X60] :
      ( p8(X60,f9(f13(c20,c21),f11(f12(f7(c22,c23)))))
      | ~ p18(X60,f6(c19))
      | p18(X60,f6(f7(c22,c23))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_34) ).

fof(f114,plain,
    spl2_1,
    inference(avatar_contradiction_clause,[],[f113]) ).

fof(f113,plain,
    ( $false
    | spl2_1 ),
    inference(resolution,[],[f99,f7]) ).

fof(f7,axiom,
    p18(c24,f6(c25)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_7) ).

fof(f99,plain,
    ( ~ p18(c24,f6(c25))
    | spl2_1 ),
    inference(avatar_component_clause,[],[f97]) ).

fof(f112,plain,
    ( ~ spl2_1
    | ~ spl2_2
    | ~ spl2_3
    | spl2_4 ),
    inference(avatar_split_clause,[],[f95,f109,f105,f101,f97]) ).

fof(f95,plain,
    ( p18(c24,f6(c19))
    | ~ p2(f14(c24),c20)
    | ~ p17(c21,f15(c24))
    | ~ p18(c24,f6(c25)) ),
    inference(resolution,[],[f33,f32]) ).

fof(f33,axiom,
    ! [X36] :
      ( p8(X36,f9(f13(f14(X36),f15(X36)),f16(X36)))
      | p18(X36,f6(c19))
      | ~ p18(X36,f6(c25)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_33) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SYN619-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 22:25:51 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.48  % (24722)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.48  % (24727)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.49  % (24719)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.49  % (24714)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.50  % (24712)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.50  TRYING [1]
% 0.18/0.50  % (24730)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.50  % (24712)First to succeed.
% 0.18/0.50  TRYING [2]
% 0.18/0.51  TRYING [3]
% 0.18/0.51  % (24705)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51  % (24712)Refutation found. Thanks to Tanya!
% 0.18/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51  % (24712)------------------------------
% 0.18/0.51  % (24712)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (24712)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (24712)Termination reason: Refutation
% 0.18/0.51  
% 0.18/0.51  % (24712)Memory used [KB]: 5500
% 0.18/0.51  % (24712)Time elapsed: 0.122 s
% 0.18/0.51  % (24712)Instructions burned: 4 (million)
% 0.18/0.51  % (24712)------------------------------
% 0.18/0.51  % (24712)------------------------------
% 0.18/0.51  % (24701)Success in time 0.167 s
%------------------------------------------------------------------------------