TSTP Solution File: SYN579-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN579-1 : 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 : n029.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 19:38:58 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   42 (  12 unt;   0 def)
%            Number of atoms       :   89 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   88 (  41   ~;  43   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   5 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f826,plain,
    $false,
    inference(avatar_sat_refutation,[],[f162,f182,f262,f785,f825]) ).

fof(f825,plain,
    ( ~ spl0_4
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f823,f155,f202,f155,f159]) ).

fof(f159,plain,
    ( spl0_4
  <=> p9(c12,f6(c14)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f202,plain,
    ( spl0_8
  <=> p11(c14,c15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f155,plain,
    ( spl0_3
  <=> p9(f8(f6(c14),c14),f6(c14)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f823,plain,
    ( ~ p11(c14,c15)
    | ~ p9(f8(f6(c14),c14),f6(c14))
    | ~ p9(c12,f6(c14))
    | ~ spl0_3 ),
    inference(resolution,[],[f157,f23]) ).

fof(f23,axiom,
    ! [X34,X33] :
      ( ~ p9(f8(X33,X34),f6(X34))
      | ~ p9(c12,X33)
      | ~ p9(f8(X33,X34),X33)
      | ~ p11(X34,c15) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_23) ).

fof(f157,plain,
    ( p9(f8(f6(c14),c14),f6(c14))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f155]) ).

fof(f785,plain,
    ( spl0_4
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f784]) ).

fof(f784,plain,
    ( $false
    | spl0_4
    | ~ spl0_5 ),
    inference(resolution,[],[f735,f2]) ).

fof(f2,axiom,
    ! [X1] : p7(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_2) ).

fof(f735,plain,
    ( ~ p7(c12,c12)
    | spl0_4
    | ~ spl0_5 ),
    inference(resolution,[],[f719,f161]) ).

fof(f161,plain,
    ( ~ p9(c12,f6(c14))
    | spl0_4 ),
    inference(avatar_component_clause,[],[f159]) ).

fof(f719,plain,
    ( ! [X2] :
        ( p9(X2,f6(c14))
        | ~ p7(c12,X2) )
    | ~ spl0_5 ),
    inference(resolution,[],[f189,f93]) ).

fof(f93,plain,
    p3(f6(c16),f6(c14)),
    inference(resolution,[],[f63,f35]) ).

fof(f35,plain,
    ! [X4,X5] :
      ( ~ p3(f6(f5(X4)),X5)
      | p3(X5,f6(X4)) ),
    inference(resolution,[],[f17,f9]) ).

fof(f9,axiom,
    ! [X5] : p3(f6(f5(X5)),f6(X5)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_9) ).

fof(f17,axiom,
    ! [X2,X18,X17] :
      ( ~ p3(X2,X18)
      | ~ p3(X2,X17)
      | p3(X17,X18) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_17) ).

fof(f63,plain,
    p3(f6(f5(c14)),f6(c16)),
    inference(resolution,[],[f33,f26]) ).

fof(f26,plain,
    p3(f6(c16),f6(f5(c14))),
    inference(resolution,[],[f13,f7]) ).

fof(f7,axiom,
    p2(c16,f5(c14)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).

fof(f13,axiom,
    ! [X10,X9] :
      ( ~ p2(X9,X10)
      | p3(f6(X9),f6(X10)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_13) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ~ p3(X0,X1)
      | p3(X1,X0) ),
    inference(resolution,[],[f17,f3]) ).

fof(f3,axiom,
    ! [X2] : p3(X2,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_3) ).

fof(f189,plain,
    ( ! [X0,X1] :
        ( ~ p3(f6(c16),X1)
        | p9(X0,X1)
        | ~ p7(c12,X0) )
    | ~ spl0_5 ),
    inference(resolution,[],[f165,f20]) ).

fof(f20,axiom,
    ! [X28,X26,X27,X25] :
      ( ~ p9(X27,X28)
      | ~ p7(X27,X25)
      | p9(X25,X26)
      | ~ p3(X28,X26) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_20) ).

fof(f165,plain,
    ( p9(c12,f6(c16))
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f164]) ).

fof(f164,plain,
    ( spl0_5
  <=> p9(c12,f6(c16)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f262,plain,
    spl0_8,
    inference(avatar_contradiction_clause,[],[f261]) ).

fof(f261,plain,
    ( $false
    | spl0_8 ),
    inference(resolution,[],[f204,f6]) ).

fof(f6,axiom,
    p11(c14,c15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_6) ).

fof(f204,plain,
    ( ~ p11(c14,c15)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f182,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f181]) ).

fof(f181,plain,
    ( $false
    | spl0_5 ),
    inference(resolution,[],[f180,f5]) ).

fof(f5,axiom,
    p9(c12,c13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_5) ).

fof(f180,plain,
    ( ~ p9(c12,c13)
    | spl0_5 ),
    inference(resolution,[],[f166,f11]) ).

fof(f11,axiom,
    ! [X6] :
      ( p9(X6,f6(c16))
      | ~ p9(X6,c13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_11) ).

fof(f166,plain,
    ( ~ p9(c12,f6(c16))
    | spl0_5 ),
    inference(avatar_component_clause,[],[f164]) ).

fof(f162,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f151,f159,f155]) ).

fof(f151,plain,
    ( ~ p9(c12,f6(c14))
    | p9(f8(f6(c14),c14),f6(c14)) ),
    inference(factoring,[],[f46]) ).

fof(f46,plain,
    ! [X0] :
      ( p9(f8(X0,c14),f6(c14))
      | p9(f8(X0,c14),X0)
      | ~ p9(c12,X0) ),
    inference(resolution,[],[f22,f6]) ).

fof(f22,axiom,
    ! [X34,X33] :
      ( ~ p11(X34,c15)
      | p9(f8(X33,X34),X33)
      | ~ p9(c12,X33)
      | p9(f8(X33,X34),f6(X34)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_22) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN579-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % 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 : n029.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 22:18:42 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.46  % (28044)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)
% 0.20/0.49  % (28070)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.49  % (28055)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.49  % (28046)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.50  % (28066)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.50  % (28043)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.50  % (28051)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51  % (28054)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51  % (28063)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.51  % (28041)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.51  TRYING [1]
% 0.20/0.51  TRYING [2]
% 0.20/0.51  TRYING [3]
% 0.20/0.52  % (28049)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52  % (28042)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52  % (28058)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.52  % (28064)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.52  % (28042)Refutation not found, incomplete strategy% (28042)------------------------------
% 0.20/0.52  % (28042)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (28042)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (28042)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (28042)Memory used [KB]: 5373
% 0.20/0.52  % (28042)Time elapsed: 0.126 s
% 0.20/0.52  % (28042)------------------------------
% 0.20/0.52  % (28042)------------------------------
% 0.20/0.52  % (28061)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)
% 0.20/0.52  % (28070)First to succeed.
% 0.20/0.52  TRYING [1]
% 0.20/0.52  % (28070)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (28070)------------------------------
% 0.20/0.52  % (28070)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (28070)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (28070)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (28070)Memory used [KB]: 5884
% 0.20/0.52  % (28070)Time elapsed: 0.131 s
% 0.20/0.52  % (28070)Instructions burned: 20 (million)
% 0.20/0.52  % (28070)------------------------------
% 0.20/0.52  % (28070)------------------------------
% 0.20/0.52  % (28040)Success in time 0.173 s
%------------------------------------------------------------------------------