TSTP Solution File: NUM550+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM550+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n009.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 18:00:31 EDT 2022

% Result   : Theorem 1.30s 0.52s
% Output   : Refutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   24 (  10 unt;   0 def)
%            Number of atoms       :   47 (  24 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   42 (  19   ~;  13   |;   5   &)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f254,plain,
    $false,
    inference(avatar_sat_refutation,[],[f246,f248,f253]) ).

fof(f253,plain,
    ~ spl5_3,
    inference(avatar_contradiction_clause,[],[f252]) ).

fof(f252,plain,
    ( $false
    | ~ spl5_3 ),
    inference(subsumption_resolution,[],[f251,f184]) ).

fof(f184,plain,
    sz00 != xk,
    inference(cnf_transformation,[],[f62]) ).

fof(f62,axiom,
    ( sz00 != xk
    & aSet0(xT)
    & aSet0(xS) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202_02) ).

fof(f251,plain,
    ( sz00 = xk
    | ~ spl5_3 ),
    inference(forward_demodulation,[],[f209,f245]) ).

fof(f245,plain,
    ( sz00 = sbrdtbr0(xQ)
    | ~ spl5_3 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f243,plain,
    ( spl5_3
  <=> sz00 = sbrdtbr0(xQ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).

fof(f209,plain,
    xk = sbrdtbr0(xQ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,axiom,
    ( xk = sbrdtbr0(xQ)
    & isFinite0(xQ)
    & aSet0(xQ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2291) ).

fof(f248,plain,
    spl5_2,
    inference(avatar_split_clause,[],[f207,f238]) ).

fof(f238,plain,
    ( spl5_2
  <=> aSet0(xQ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).

fof(f207,plain,
    aSet0(xQ),
    inference(cnf_transformation,[],[f66]) ).

fof(f246,plain,
    ( ~ spl5_2
    | spl5_3 ),
    inference(avatar_split_clause,[],[f224,f243,f238]) ).

fof(f224,plain,
    ( sz00 = sbrdtbr0(xQ)
    | ~ aSet0(xQ) ),
    inference(equality_resolution,[],[f217]) ).

fof(f217,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | sz00 = sbrdtbr0(X0)
      | xQ != X0 ),
    inference(definition_unfolding,[],[f177,f203]) ).

fof(f203,plain,
    slcrc0 = xQ,
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    slcrc0 = xQ,
    inference(flattening,[],[f68]) ).

fof(f68,negated_conjecture,
    ~ ( slcrc0 != xQ ),
    inference(negated_conjecture,[],[f67]) ).

fof(f67,conjecture,
    slcrc0 != xQ,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f177,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | sz00 = sbrdtbr0(X0)
      | slcrc0 != X0 ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ( ( sz00 = sbrdtbr0(X0)
          | slcrc0 != X0 )
        & ( slcrc0 = X0
          | sz00 != sbrdtbr0(X0) ) ) ),
    inference(nnf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ( sz00 = sbrdtbr0(X0)
      <=> slcrc0 = X0 ) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ( sz00 = sbrdtbr0(X0)
      <=> slcrc0 = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : NUM550+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n009.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 06:57:35 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.47  % (14270)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.47  % (14278)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.18/0.48  % (14278)Instruction limit reached!
% 0.18/0.48  % (14278)------------------------------
% 0.18/0.48  % (14278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (14270)Instruction limit reached!
% 0.18/0.49  % (14270)------------------------------
% 0.18/0.49  % (14270)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (14270)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (14270)Termination reason: Unknown
% 0.18/0.49  % (14270)Termination phase: Preprocessing 3
% 0.18/0.49  
% 0.18/0.49  % (14270)Memory used [KB]: 1535
% 0.18/0.49  % (14270)Time elapsed: 0.004 s
% 0.18/0.49  % (14270)Instructions burned: 3 (million)
% 0.18/0.49  % (14270)------------------------------
% 0.18/0.49  % (14270)------------------------------
% 0.18/0.49  % (14278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (14278)Termination reason: Unknown
% 0.18/0.49  % (14278)Termination phase: Saturation
% 0.18/0.49  
% 0.18/0.49  % (14278)Memory used [KB]: 6268
% 0.18/0.49  % (14278)Time elapsed: 0.100 s
% 0.18/0.49  % (14278)Instructions burned: 13 (million)
% 0.18/0.49  % (14278)------------------------------
% 0.18/0.49  % (14278)------------------------------
% 0.18/0.50  % (14274)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.50  % (14286)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50  % (14286)Instruction limit reached!
% 0.18/0.50  % (14286)------------------------------
% 0.18/0.50  % (14286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (14286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (14286)Termination reason: Unknown
% 0.18/0.50  % (14286)Termination phase: Property scanning
% 0.18/0.50  
% 0.18/0.50  % (14286)Memory used [KB]: 1535
% 0.18/0.50  % (14286)Time elapsed: 0.004 s
% 0.18/0.50  % (14286)Instructions burned: 3 (million)
% 0.18/0.50  % (14286)------------------------------
% 0.18/0.50  % (14286)------------------------------
% 0.18/0.50  % (14271)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50  % (14279)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50  % (14277)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.18/0.51  % (14291)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.18/0.51  % (14284)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.30/0.51  % (14283)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.30/0.51  % (14282)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.30/0.51  % (14279)Instruction limit reached!
% 1.30/0.51  % (14279)------------------------------
% 1.30/0.51  % (14279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.51  % (14279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.51  % (14279)Termination reason: Unknown
% 1.30/0.51  % (14279)Termination phase: Saturation
% 1.30/0.51  
% 1.30/0.51  % (14279)Memory used [KB]: 6140
% 1.30/0.51  % (14279)Time elapsed: 0.005 s
% 1.30/0.51  % (14279)Instructions burned: 7 (million)
% 1.30/0.51  % (14279)------------------------------
% 1.30/0.51  % (14279)------------------------------
% 1.30/0.51  % (14294)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.30/0.51  % (14282)Instruction limit reached!
% 1.30/0.51  % (14282)------------------------------
% 1.30/0.51  % (14282)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.51  % (14282)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.51  % (14282)Termination reason: Unknown
% 1.30/0.51  % (14282)Termination phase: Property scanning
% 1.30/0.51  
% 1.30/0.51  % (14282)Memory used [KB]: 1535
% 1.30/0.51  % (14282)Time elapsed: 0.003 s
% 1.30/0.51  % (14282)Instructions burned: 4 (million)
% 1.30/0.51  % (14282)------------------------------
% 1.30/0.51  % (14282)------------------------------
% 1.30/0.51  % (14272)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.30/0.51  % (14283)Instruction limit reached!
% 1.30/0.51  % (14283)------------------------------
% 1.30/0.51  % (14283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.51  % (14283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.51  % (14283)Termination reason: Unknown
% 1.30/0.51  % (14283)Termination phase: Saturation
% 1.30/0.51  
% 1.30/0.51  % (14283)Memory used [KB]: 6140
% 1.30/0.51  % (14283)Time elapsed: 0.006 s
% 1.30/0.51  % (14283)Instructions burned: 7 (million)
% 1.30/0.51  % (14283)------------------------------
% 1.30/0.51  % (14283)------------------------------
% 1.30/0.52  % (14274)First to succeed.
% 1.30/0.52  % (14274)Refutation found. Thanks to Tanya!
% 1.30/0.52  % SZS status Theorem for theBenchmark
% 1.30/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 1.30/0.52  % (14274)------------------------------
% 1.30/0.52  % (14274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.52  % (14274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.52  % (14274)Termination reason: Refutation
% 1.30/0.52  
% 1.30/0.52  % (14274)Memory used [KB]: 6012
% 1.30/0.52  % (14274)Time elapsed: 0.130 s
% 1.30/0.52  % (14274)Instructions burned: 5 (million)
% 1.30/0.52  % (14274)------------------------------
% 1.30/0.52  % (14274)------------------------------
% 1.30/0.52  % (14267)Success in time 0.177 s
%------------------------------------------------------------------------------