TSTP Solution File: NUM228-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM228-1 : 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 : n022.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 17:57:34 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   6 unt;   0 def)
%            Number of atoms       :   14 (   3 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   5   ~;   3   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f314,plain,
    $false,
    inference(subsumption_resolution,[],[f308,f304]) ).

fof(f304,plain,
    ! [X4] : ~ member(X4,recursion_equation_functions(z)),
    inference(resolution,[],[f159,f147]) ).

fof(f147,axiom,
    ! [X0,X4] :
      ( ~ member(X0,recursion_equation_functions(X4))
      | function(X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',recursion_equation_functions1) ).

fof(f159,axiom,
    ~ function(z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1) ).

fof(f308,plain,
    member(regular(recursion_equation_functions(z)),recursion_equation_functions(z)),
    inference(resolution,[],[f261,f278]) ).

fof(f278,plain,
    ! [X0] :
      ( member(regular(X0),X0)
      | sQ0_eqProxy(null_class,X0) ),
    inference(equality_proxy_replacement,[],[f66,f257]) ).

fof(f257,plain,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

fof(f66,axiom,
    ! [X0] :
      ( null_class = X0
      | member(regular(X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).

fof(f261,plain,
    ~ sQ0_eqProxy(null_class,recursion_equation_functions(z)),
    inference(equality_proxy_replacement,[],[f160,f257]) ).

fof(f160,axiom,
    null_class != recursion_equation_functions(z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : NUM228-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.33  % Computer : n022.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Tue Aug 30 06:12:41 EDT 2022
% 0.14/0.33  % CPUTime    : 
% 0.19/0.49  % (13681)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)
% 0.19/0.50  % (13679)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)
% 0.19/0.50  % (13697)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50  % (13687)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (13702)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)
% 0.19/0.50  % (13693)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)
% 0.19/0.50  % (13686)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)
% 0.19/0.51  % (13690)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)
% 0.19/0.51  % (13681)Refutation not found, incomplete strategy% (13681)------------------------------
% 0.19/0.51  % (13681)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (13681)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (13681)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (13681)Memory used [KB]: 6012
% 0.19/0.51  % (13681)Time elapsed: 0.121 s
% 0.19/0.51  % (13681)Instructions burned: 1 (million)
% 0.19/0.51  % (13681)------------------------------
% 0.19/0.51  % (13681)------------------------------
% 0.19/0.51  % (13693)Instruction limit reached!
% 0.19/0.51  % (13693)------------------------------
% 0.19/0.51  % (13693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (13693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (13693)Termination reason: Unknown
% 0.19/0.51  % (13693)Termination phase: Property scanning
% 0.19/0.51  
% 0.19/0.51  % (13693)Memory used [KB]: 1535
% 0.19/0.51  % (13693)Time elapsed: 0.006 s
% 0.19/0.51  % (13693)Instructions burned: 6 (million)
% 0.19/0.51  % (13693)------------------------------
% 0.19/0.51  % (13693)------------------------------
% 0.19/0.51  % (13678)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.51  % (13697)Instruction limit reached!
% 0.19/0.51  % (13697)------------------------------
% 0.19/0.51  % (13697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (13682)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.51  % (13702)First to succeed.
% 0.19/0.51  % (13683)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.51  % (13682)Refutation not found, incomplete strategy% (13682)------------------------------
% 0.19/0.51  % (13682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (13682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (13682)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (13682)Memory used [KB]: 6012
% 0.19/0.51  % (13682)Time elapsed: 0.117 s
% 0.19/0.51  % (13682)Instructions burned: 2 (million)
% 0.19/0.51  % (13682)------------------------------
% 0.19/0.51  % (13682)------------------------------
% 0.19/0.51  % (13690)Instruction limit reached!
% 0.19/0.51  % (13690)------------------------------
% 0.19/0.51  % (13690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (13697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (13697)Termination reason: Unknown
% 0.19/0.51  % (13697)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (13697)Memory used [KB]: 1535
% 0.19/0.51  % (13697)Time elapsed: 0.005 s
% 0.19/0.51  % (13697)Instructions burned: 7 (million)
% 0.19/0.51  % (13697)------------------------------
% 0.19/0.51  % (13697)------------------------------
% 0.19/0.51  % (13690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (13690)Termination reason: Unknown
% 0.19/0.51  % (13690)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (13690)Memory used [KB]: 1535
% 0.19/0.51  % (13690)Time elapsed: 0.004 s
% 0.19/0.51  % (13690)Instructions burned: 6 (million)
% 0.19/0.51  % (13690)------------------------------
% 0.19/0.51  % (13690)------------------------------
% 0.19/0.51  % (13702)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (13702)------------------------------
% 0.19/0.51  % (13702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (13702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (13702)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (13702)Memory used [KB]: 6140
% 0.19/0.51  % (13702)Time elapsed: 0.083 s
% 0.19/0.51  % (13702)Instructions burned: 12 (million)
% 0.19/0.51  % (13702)------------------------------
% 0.19/0.51  % (13702)------------------------------
% 0.19/0.51  % (13673)Success in time 0.177 s
%------------------------------------------------------------------------------