TSTP Solution File: RNG124+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : RNG124+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 : n003.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 18:15:10 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   21 (   6 unt;   0 def)
%            Number of atoms       :   51 (  16 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   51 (  21   ~;  17   |;  10   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f468,plain,
    $false,
    inference(avatar_sat_refutation,[],[f299,f300,f467]) ).

fof(f467,plain,
    ( ~ spl22_5
    | spl22_6 ),
    inference(avatar_contradiction_clause,[],[f466]) ).

fof(f466,plain,
    ( $false
    | ~ spl22_5
    | spl22_6 ),
    inference(subsumption_resolution,[],[f465,f297]) ).

fof(f297,plain,
    ( sz00 != xr
    | spl22_6 ),
    inference(avatar_component_clause,[],[f296]) ).

fof(f296,plain,
    ( spl22_6
  <=> sz00 = xr ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_6])]) ).

fof(f465,plain,
    ( sz00 = xr
    | ~ spl22_5 ),
    inference(subsumption_resolution,[],[f464,f264]) ).

fof(f264,plain,
    aElementOf0(xr,xI),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,axiom,
    aElementOf0(xr,xI),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2729) ).

fof(f464,plain,
    ( ~ aElementOf0(xr,xI)
    | sz00 = xr
    | ~ spl22_5 ),
    inference(resolution,[],[f194,f294]) ).

fof(f294,plain,
    ( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
    | ~ spl22_5 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f292,plain,
    ( spl22_5
  <=> iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_5])]) ).

fof(f194,plain,
    ! [X0] :
      ( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
      | sz00 = X0
      | ~ aElementOf0(X0,xI) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ( ! [X0] :
        ( ~ aElementOf0(X0,xI)
        | ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
        | sz00 = X0 )
    & sz00 != xu
    & aElementOf0(xu,xI) ),
    inference(flattening,[],[f106]) ).

fof(f106,plain,
    ( ! [X0] :
        ( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
        | ~ aElementOf0(X0,xI)
        | sz00 = X0 )
    & sz00 != xu
    & aElementOf0(xu,xI) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,axiom,
    ( ! [X0] :
        ( ( aElementOf0(X0,xI)
          & sz00 != X0 )
       => ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
    & sz00 != xu
    & aElementOf0(xu,xI) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2273) ).

fof(f300,plain,
    ~ spl22_6,
    inference(avatar_split_clause,[],[f179,f296]) ).

fof(f179,plain,
    sz00 != xr,
    inference(cnf_transformation,[],[f51]) ).

fof(f51,axiom,
    sz00 != xr,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2673) ).

fof(f299,plain,
    ( spl22_5
    | spl22_6 ),
    inference(avatar_split_clause,[],[f197,f296,f292]) ).

fof(f197,plain,
    ( sz00 = xr
    | iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,axiom,
    ( aElement0(xr)
    & ( sz00 = xr
      | iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) )
    & xb = sdtpldt0(sdtasdt0(xq,xu),xr)
    & aElement0(xq) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2666) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : RNG124+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n003.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 12:15:52 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.47  % (4403)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)
% 0.19/0.48  % (4418)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)
% 0.19/0.49  % (4403)Instruction limit reached!
% 0.19/0.49  % (4403)------------------------------
% 0.19/0.49  % (4403)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (4403)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (4403)Termination reason: Unknown
% 0.19/0.49  % (4403)Termination phase: Preprocessing 3
% 0.19/0.49  
% 0.19/0.49  % (4403)Memory used [KB]: 1535
% 0.19/0.49  % (4403)Time elapsed: 0.003 s
% 0.19/0.49  % (4403)Instructions burned: 3 (million)
% 0.19/0.49  % (4403)------------------------------
% 0.19/0.49  % (4403)------------------------------
% 0.19/0.49  % (4408)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)
% 0.19/0.49  % (4418)Instruction limit reached!
% 0.19/0.49  % (4418)------------------------------
% 0.19/0.49  % (4418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (4405)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)
% 0.19/0.50  % (4404)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)
% 0.19/0.50  % (4408)First to succeed.
% 0.19/0.50  % (4418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (4418)Termination reason: Unknown
% 0.19/0.50  % (4418)Termination phase: Property scanning
% 0.19/0.50  
% 0.19/0.50  % (4418)Memory used [KB]: 1535
% 0.19/0.50  % (4418)Time elapsed: 0.004 s
% 0.19/0.50  % (4418)Instructions burned: 5 (million)
% 0.19/0.50  % (4418)------------------------------
% 0.19/0.50  % (4418)------------------------------
% 0.19/0.50  % (4422)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)
% 0.19/0.50  % (4419)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)
% 0.19/0.50  % (4413)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)
% 0.19/0.50  % (4430)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)
% 0.19/0.50  % (4422)Instruction limit reached!
% 0.19/0.50  % (4422)------------------------------
% 0.19/0.50  % (4422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (4402)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.50  % (4422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (4422)Termination reason: Unknown
% 0.19/0.50  % (4422)Termination phase: Naming
% 0.19/0.50  
% 0.19/0.50  % (4422)Memory used [KB]: 1407
% 0.19/0.50  % (4426)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.50  % (4422)Time elapsed: 0.004 s
% 0.19/0.50  % (4422)Instructions burned: 2 (million)
% 0.19/0.50  % (4422)------------------------------
% 0.19/0.50  % (4422)------------------------------
% 0.19/0.50  % (4427)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)
% 0.19/0.50  % (4417)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (4419)Instruction limit reached!
% 0.19/0.51  % (4419)------------------------------
% 0.19/0.51  % (4419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (4413)Instruction limit reached!
% 0.19/0.51  % (4413)------------------------------
% 0.19/0.51  % (4413)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (4413)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (4413)Termination reason: Unknown
% 0.19/0.51  % (4413)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (4413)Memory used [KB]: 6268
% 0.19/0.51  % (4413)Time elapsed: 0.129 s
% 0.19/0.51  % (4413)Instructions burned: 12 (million)
% 0.19/0.51  % (4413)------------------------------
% 0.19/0.51  % (4413)------------------------------
% 0.19/0.51  % (4408)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Theorem for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (4408)------------------------------
% 0.19/0.51  % (4408)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (4408)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (4408)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (4408)Memory used [KB]: 6140
% 0.19/0.51  % (4408)Time elapsed: 0.106 s
% 0.19/0.51  % (4408)Instructions burned: 9 (million)
% 0.19/0.51  % (4408)------------------------------
% 0.19/0.51  % (4408)------------------------------
% 0.19/0.51  % (4395)Success in time 0.168 s
%------------------------------------------------------------------------------