TSTP Solution File: FLD034-3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : FLD034-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n028.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 16:05:37 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   23 (   6 unt;   0 def)
%            Number of atoms       :   49 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   55 (  29   ~;  23   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   4 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f273,plain,
    $false,
    inference(avatar_sat_refutation,[],[f253,f260,f268,f272]) ).

fof(f272,plain,
    spl0_26,
    inference(avatar_contradiction_clause,[],[f269]) ).

fof(f269,plain,
    ( $false
    | spl0_26 ),
    inference(resolution,[],[f267,f29]) ).

fof(f29,axiom,
    product(multiplicative_identity,m,multiplicative_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_3) ).

fof(f267,plain,
    ( ~ product(multiplicative_identity,m,multiplicative_identity)
    | spl0_26 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f265,plain,
    ( spl0_26
  <=> product(multiplicative_identity,m,multiplicative_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f268,plain,
    ( ~ spl0_24
    | ~ spl0_26
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f261,f258,f265,f248]) ).

fof(f248,plain,
    ( spl0_24
  <=> defined(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f258,plain,
    ( spl0_25
  <=> ! [X0] :
        ( ~ product(X0,m,multiplicative_identity)
        | ~ product(X0,a,a) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f261,plain,
    ( ~ product(multiplicative_identity,m,multiplicative_identity)
    | ~ defined(a)
    | ~ spl0_25 ),
    inference(resolution,[],[f259,f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( product(multiplicative_identity,X0,X0)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).

fof(f259,plain,
    ( ! [X0] :
        ( ~ product(X0,a,a)
        | ~ product(X0,m,multiplicative_identity) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f260,plain,
    ( ~ spl0_24
    | spl0_25 ),
    inference(avatar_split_clause,[],[f254,f258,f248]) ).

fof(f254,plain,
    ! [X0] :
      ( ~ product(X0,m,multiplicative_identity)
      | ~ product(X0,a,a)
      | ~ defined(a) ),
    inference(resolution,[],[f229,f8]) ).

fof(f229,plain,
    ! [X8,X6,X7] :
      ( ~ product(X6,X7,a)
      | ~ product(X8,X7,a)
      | ~ product(X8,m,X6) ),
    inference(resolution,[],[f209,f10]) ).

fof(f10,axiom,
    ! [X3,X0,X5] :
      ( product(X3,X0,X5)
      | ~ product(X0,X3,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_multiplication) ).

fof(f209,plain,
    ! [X2,X0,X1] :
      ( ~ product(m,X0,X2)
      | ~ product(X2,X1,a)
      | ~ product(X0,X1,a) ),
    inference(resolution,[],[f6,f30]) ).

fof(f30,axiom,
    ~ product(m,a,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_4) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( product(X0,X1,X2)
      | ~ product(X3,X5,X1)
      | ~ product(X0,X3,X4)
      | ~ product(X4,X5,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_multiplication_1) ).

fof(f253,plain,
    spl0_24,
    inference(avatar_contradiction_clause,[],[f252]) ).

fof(f252,plain,
    ( $false
    | spl0_24 ),
    inference(resolution,[],[f250,f27]) ).

fof(f27,axiom,
    defined(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).

fof(f250,plain,
    ( ~ defined(a)
    | spl0_24 ),
    inference(avatar_component_clause,[],[f248]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : FLD034-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n028.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   : Mon Aug 29 20:46:47 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.50  % (15120)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.50  % (15112)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.51  % (15105)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52  % (15097)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.52  TRYING [1]
% 0.20/0.52  TRYING [2]
% 0.20/0.52  % (15112)Instruction limit reached!
% 0.20/0.52  % (15112)------------------------------
% 0.20/0.52  % (15112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (15105)Instruction limit reached!
% 0.20/0.52  % (15105)------------------------------
% 0.20/0.52  % (15105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (15112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (15112)Termination reason: Unknown
% 0.20/0.52  % (15112)Termination phase: Finite model building SAT solving
% 0.20/0.52  
% 0.20/0.52  % (15112)Memory used [KB]: 6012
% 0.20/0.52  % (15112)Time elapsed: 0.119 s
% 0.20/0.52  % (15112)Instructions burned: 6 (million)
% 0.20/0.52  % (15112)------------------------------
% 0.20/0.52  % (15112)------------------------------
% 0.20/0.52  % (15105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (15105)Termination reason: Unknown
% 0.20/0.52  % (15105)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (15105)Memory used [KB]: 5884
% 0.20/0.52  % (15105)Time elapsed: 0.119 s
% 0.20/0.52  % (15105)Instructions burned: 3 (million)
% 0.20/0.52  % (15105)------------------------------
% 0.20/0.52  % (15105)------------------------------
% 0.20/0.52  % (15111)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.52  % (15098)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.52  % (15125)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)
% 0.20/0.52  % (15114)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.52  % (15102)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53  % (15100)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)
% 0.20/0.53  % (15126)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (15102)First to succeed.
% 0.20/0.53  % (15121)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.53  % (15102)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (15102)------------------------------
% 0.20/0.53  % (15102)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (15102)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (15102)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (15102)Memory used [KB]: 6012
% 0.20/0.53  % (15102)Time elapsed: 0.129 s
% 0.20/0.53  % (15102)Instructions burned: 7 (million)
% 0.20/0.53  % (15102)------------------------------
% 0.20/0.53  % (15102)------------------------------
% 0.20/0.53  % (15096)Success in time 0.177 s
%------------------------------------------------------------------------------