TSTP Solution File: SYN193-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN193-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n014.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 19:25:49 EDT 2022

% Result   : Unsatisfiable 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   42 (   9 unt;   0 def)
%            Number of atoms       :   87 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  102 (  57   ~;  40   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   16 (  15 usr;   6 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   42 (  42   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1172,plain,
    $false,
    inference(avatar_sat_refutation,[],[f381,f456,f598,f987,f1099,f1163]) ).

fof(f1163,plain,
    ~ spl0_14,
    inference(avatar_contradiction_clause,[],[f1162]) ).

fof(f1162,plain,
    ( $false
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f1137,f5]) ).

fof(f5,axiom,
    s0(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(f1137,plain,
    ( ~ s0(b)
    | ~ spl0_14 ),
    inference(duplicate_literal_removal,[],[f1132]) ).

fof(f1132,plain,
    ( ~ s0(b)
    | ~ s0(b)
    | ~ spl0_14 ),
    inference(resolution,[],[f455,f157]) ).

fof(f157,axiom,
    ! [X11] :
      ( q1(X11,b,b)
      | ~ s0(X11)
      | ~ s0(b) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_119) ).

fof(f455,plain,
    ( ! [X11] : ~ q1(X11,X11,X11)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f454,plain,
    ( spl0_14
  <=> ! [X11] : ~ q1(X11,X11,X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f1099,plain,
    ~ spl0_13,
    inference(avatar_contradiction_clause,[],[f1098]) ).

fof(f1098,plain,
    ( $false
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1076,f14]) ).

fof(f14,axiom,
    ! [X0] : p0(b,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).

fof(f1076,plain,
    ( ~ p0(b,b)
    | ~ spl0_13 ),
    inference(resolution,[],[f452,f107]) ).

fof(f107,axiom,
    ! [X11,X6] :
      ( ~ p0(X6,X11)
      | p1(X11,X11,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_069) ).

fof(f452,plain,
    ( ! [X12] : ~ p1(b,X12,b)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f451,plain,
    ( spl0_13
  <=> ! [X12] : ~ p1(b,X12,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f987,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f986]) ).

fof(f986,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f858,f30]) ).

fof(f30,axiom,
    n0(e,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).

fof(f858,plain,
    ( ! [X12] : ~ n0(X12,X12)
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f851,f104]) ).

fof(f104,axiom,
    ! [X4,X5] :
      ( p1(X4,X4,X4)
      | ~ n0(X5,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_066) ).

fof(f851,plain,
    ( ! [X12] :
        ( ~ n0(X12,X12)
        | ~ p1(X12,X12,X12) )
    | ~ spl0_1 ),
    inference(resolution,[],[f750,f219]) ).

fof(f219,axiom,
    ! [X2] :
      ( q2(X2,X2,X2)
      | ~ p1(X2,X2,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_181) ).

fof(f750,plain,
    ( ! [X10,X11,X12] :
        ( ~ q2(X10,X11,X12)
        | ~ n0(X10,X11) )
    | ~ spl0_1 ),
    inference(resolution,[],[f373,f293]) ).

fof(f293,axiom,
    ! [X2,X4,X5] :
      ( ~ q2(X2,X4,X5)
      | ~ n0(X2,X4)
      | q3(X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_255) ).

fof(f373,plain,
    ( ! [X0,X1] : ~ q3(X0,X1)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f372,plain,
    ( spl0_1
  <=> ! [X0,X1] : ~ q3(X0,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f598,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f596]) ).

fof(f596,plain,
    ( $false
    | ~ spl0_3 ),
    inference(resolution,[],[f380,f14]) ).

fof(f380,plain,
    ( ! [X2] : ~ p0(X2,b)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f379,plain,
    ( spl0_3
  <=> ! [X2] : ~ p0(X2,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f456,plain,
    ( spl0_13
    | spl0_14
    | spl0_2 ),
    inference(avatar_split_clause,[],[f395,f375,f454,f451]) ).

fof(f375,plain,
    ( spl0_2
  <=> n3(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f395,plain,
    ( ! [X11,X12] :
        ( ~ q1(X11,X11,X11)
        | ~ p1(b,X12,b) )
    | spl0_2 ),
    inference(resolution,[],[f382,f207]) ).

fof(f207,axiom,
    ! [X8,X9,X7] :
      ( p2(X7,X7,X7)
      | ~ q1(X8,X8,X8)
      | ~ p1(X7,X9,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_169) ).

fof(f382,plain,
    ( ! [X0,X1] : ~ p2(X0,X1,b)
    | spl0_2 ),
    inference(resolution,[],[f377,f278]) ).

fof(f278,axiom,
    ! [X8,X9,X7] :
      ( n3(X7)
      | ~ p2(X8,X9,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_240) ).

fof(f377,plain,
    ( ~ n3(b)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f381,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f370,f379,f375,f372]) ).

fof(f370,plain,
    ! [X2,X0,X1] :
      ( ~ p0(X2,b)
      | ~ n3(b)
      | ~ q3(X0,X1) ),
    inference(resolution,[],[f369,f336]) ).

fof(f336,axiom,
    ! [X2,X3,X4,X5] :
      ( ~ n3(X4)
      | ~ q3(X5,X2)
      | ~ p0(X3,X4)
      | r4(X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_298) ).

fof(f369,axiom,
    ~ r4(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SYN193-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n014.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 21:37:18 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.45  % (25491)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.18/0.47  % (25516)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.18/0.47  % (25491)Refutation not found, incomplete strategy% (25491)------------------------------
% 0.18/0.47  % (25491)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47  % (25508)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.47  % (25491)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47  % (25491)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.47  
% 0.18/0.47  % (25491)Memory used [KB]: 6140
% 0.18/0.47  % (25491)Time elapsed: 0.005 s
% 0.18/0.47  % (25491)Instructions burned: 2 (million)
% 0.18/0.47  % (25491)------------------------------
% 0.18/0.47  % (25491)------------------------------
% 0.18/0.48  % (25500)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.18/0.48  % (25508)Instruction limit reached!
% 0.18/0.48  % (25508)------------------------------
% 0.18/0.48  % (25508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (25500)Instruction limit reached!
% 0.18/0.50  % (25500)------------------------------
% 0.18/0.50  % (25500)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (25508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (25508)Termination reason: Unknown
% 0.18/0.50  % (25508)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (25508)Memory used [KB]: 1791
% 0.18/0.50  % (25508)Time elapsed: 0.005 s
% 0.18/0.50  % (25508)Instructions burned: 7 (million)
% 0.18/0.50  % (25508)------------------------------
% 0.18/0.50  % (25508)------------------------------
% 0.18/0.50  % (25500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (25500)Termination reason: Unknown
% 0.18/0.50  % (25500)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (25500)Memory used [KB]: 6524
% 0.18/0.50  % (25500)Time elapsed: 0.007 s
% 0.18/0.50  % (25500)Instructions burned: 6 (million)
% 0.18/0.50  % (25500)------------------------------
% 0.18/0.50  % (25500)------------------------------
% 0.18/0.50  % (25516)First to succeed.
% 0.18/0.50  % (25510)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.18/0.50  % (25516)Refutation found. Thanks to Tanya!
% 0.18/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50  % (25516)------------------------------
% 0.18/0.50  % (25516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (25516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (25516)Termination reason: Refutation
% 0.18/0.50  
% 0.18/0.50  % (25516)Memory used [KB]: 6908
% 0.18/0.50  % (25516)Time elapsed: 0.122 s
% 0.18/0.50  % (25516)Instructions burned: 19 (million)
% 0.18/0.50  % (25516)------------------------------
% 0.18/0.50  % (25516)------------------------------
% 0.18/0.50  % (25487)Success in time 0.165 s
%------------------------------------------------------------------------------